Wikiversity:Sandbox

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Instagram and Self-esteem

Instagram and Self-esteem 
The app “Instagram” has been popular for many years now; it is an American photo and short-form video sharing social networking service owned by Meta Platforms (Wikipedia). Although everyone is able to create and post their own experiences, there are a lot of posts that can get restricted if they fall under misinformation. “Across the globe, people are concerned about misinformation shared on social media, independent of its actual prevalence. Misinformation can be defined as false or misleading information” (Hoffman, Boulianne). Self-esteem and social media have been the most alarming topics among adolescents, yet they are not advertised enough. Adolescents become exposed to social media at a young age, and they soon start to compare their own image to pictures seen online. Social media is known for the best moments and perfect pictures. “Body image is defined as a person’s feelings and thoughts about their own body regarding how their physical appearance is evaluated by others” (Colak, Bingol, Dayi). Many adolescents set a body image standard that may not be realistic. Low self-esteem can lead to many negative thoughts during the development of an individual in their early teens.

Social media and its advertisement about self-esteem
Self-esteem is quite known; it can be common around all ages yet it is not advertised often. Instagram seems to put an emphasis on picture perfect moments, and through my personal experience when people try to speak up about something alarming, the posts get flagged or taken down. Even though this isn’t talked about, adolescents seem to be attached to social media often fantasizing their perfect image, causing it to become an addiction. Instagram guidelines are listed as intellectual property, appropriate imager, spam, illegal content, hate speech, bullying and abuse, self injury, and graphic violence. Although all these are listed I do not believe they act upon when there are posts that may fit into the description. For example, some users may post alarming pictures yet they don’t get taken down or a user may post a story with a caption that may fall under self injury but also won’t get flagged. Social media can be a scary place but it is important to teach adolescents when they are at peak development that pictures on social media are not held to a reality. “This study aimed to examine the relationship between self-esteem and social media addiction levels in adolescents and the mediating role of body image between these two variables” (Colak, Bingol, Dayi). That being said, social media becomes addictive and prevents adolescents from fully discovering their own beauty.

Social Media and its Advertisement
Social media comes with and gets so many ads added. If social media were to add in ads based on topics that can be helpful, the platform, such as Instagram, would be used differently. This would potentially create a safe space for adolescents to see as they go on about their day. Of course, there are influencers that may post about mental awareness, self-love, and body positivity, but they are never consistent. This creates a lack of advertisement, which leads to people forgetting what was even mentioned in the awareness post. To conclude, Instagram is failing to advertise the unstable relationship adolescents have between social media and self-esteem. I do believe advertising would help keep a reminder to those whom it can apply to and stop comparing it to something that is not a reality standard.

References

“Instagram.” Wikipedia, Wikimedia Foundation, 13 Dec. 2018, en.wikipedia.org/wiki/Instagram.
Hoffmann, Christian Pieter, and Shelley Boulianne. “Concerns about Misinformation on Instagram in Five Countries.” Journal of Elections Public Opinion and Parties, 21 June 2025, pp. 1–23, https://doi.org/10.1080/17457289.2025.2514192.
Colak, Mehmet, et al. “Self-Esteem and Social Media Addiction Level in Adolescents: The Mediating Role of Body Image.” Indian Journal of Psychiatry, vol. 65, no. 5, 15 May 2023, pp. 595–600, journals.lww.com/indianjpsychiatry/Fulltext/2023/65050/Self_esteem_and_social_media_addiction_level_in.13.aspx, https://doi.org/10.4103/indianjpsychiatry.indianjpsychiatry_306_22.
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Instagram and Self-esteem

'''Instagram and Self-esteem''' 
The app “Instagram” has been popular for many years now; it is an American photo and short-form video sharing social networking service owned by Meta Platforms (Wikipedia). Although everyone is able to create and post their own experiences, there are a lot of posts that can get restricted if they fall under misinformation. “Across the globe, people are concerned about misinformation shared on social media, independent of its actual prevalence. Misinformation can be defined as false or misleading information” (Hoffman, Boulianne). Self-esteem and social media have been the most alarming topics among adolescents, yet they are not advertised enough. Adolescents become exposed to social media at a young age, and they soon start to compare their own image to pictures seen online. Social media is known for the best moments and perfect pictures. “Body image is defined as a person’s feelings and thoughts about their own body regarding how their physical appearance is evaluated by others” (Colak, Bingol, Dayi). Many adolescents set a body image standard that may not be realistic. Low self-esteem can lead to many negative thoughts during the development of an individual in their early teens.

'''Social media and its advertisements about self-esteem'''
Self-esteem is quite known; it can be common around all ages, yet it is not advertised often. Instagram seems to put an emphasis on picture-perfect moments, and through my personal experience when people try to speak up about something alarming, the posts get flagged or taken down. Even though this isn’t talked about, adolescents seem to be attached to social media, often fantasizing their perfect image, causing it to become an addiction. Instagram guidelines are listed as intellectual property, appropriate imagery, spam, illegal content, hate speech, bullying and abuse, self-injury, and graphic violence. Although all these are listed, I do not believe they act upon when there are posts that may fit into the description. For example, some users may post alarming pictures, yet they don’t get taken down, or a user may post a story with a caption that may fall under self-injury but also won’t get flagged. Social media can be a scary place, but it is important to teach adolescents, when they are at peak development, that pictures on social media are not held to a reality. “This study aimed to examine the relationship between self-esteem and social media addiction levels in adolescents and the mediating role of body image between these two variables” (Colak, Bingol, Dayi). That being said, social media becomes addictive and prevents adolescents from fully discovering their own beauty.

'''Social Media and its Advertisement'''
Social media comes with and gets so many ads added. If social media were to add in ads based on topics that can be helpful, the platform, such as Instagram, would be used differently. This would potentially create a safe space for adolescents to see as they go on about their day. Of course, there are influencers that may post about mental awareness, self-love, and body positivity, but they are never consistent. This creates a lack of advertisement, which leads to people forgetting what was even mentioned in the awareness post. To conclude, Instagram is failing to advertise the unstable relationship adolescents have between social media and self-esteem. I do believe advertising would help keep a reminder to those whom it can apply to and stop comparing it to something that is not a reality standard.

References

“Instagram.” Wikipedia, Wikimedia Foundation, 13 Dec. 2018, en.wikipedia.org/wiki/Instagram.
Hoffmann, Christian Pieter, and Shelley Boulianne. “Concerns about Misinformation on Instagram in Five Countries.” Journal of Elections Public Opinion and Parties, 21 June 2025, pp. 1–23, https://doi.org/10.1080/17457289.2025.2514192.
Colak, Mehmet, et al. “Self-Esteem and Social Media Addiction Level in Adolescents: The Mediating Role of Body Image.” Indian Journal of Psychiatry, vol. 65, no. 5, 15 May 2023, pp. 595–600, journals.lww.com/indianjpsychiatry/Fulltext/2023/65050/Self_esteem_and_social_media_addiction_level_in.13.aspx, https://doi.org/10.4103/indianjpsychiatry.indianjpsychiatry_306_22.
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      <text bytes="17892" sha1="rpp51r88sflcdu799q0m76428xtstdo" xml:space="preserve">&lt;div style=&quot;margin-top:-3px; margin-bottom:0.3em; text-align: center; font-size: 98%;&quot;&gt; 
{{center top}}'''[[Portal:Humanities|F&lt;small&gt;ACULTY FOR&lt;/small&gt; H&lt;small&gt;UMANITIES&lt;/small&gt;]]'''{{center bottom}}
[[School:Art and Design|Art and Design]] · [[School:Classics|Classics]] · [[Portal:Mythology|Mythology]] · [[School:Law|Law]] · [[School:Language and Literature|Language and Literature]] · [[School:Music and Dance|Music]] · [[School:Philosophy|Philosophy]] · [[School:Theology|Theology]]&lt;/div&gt;

{{center top}}
{|style=&quot;width:100%;margin-top:+.7em;background-color:#fcfcfc; {{text color default}};border:1px solid #ccc&quot;
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{|style=&quot;width:280px;border:solid 0px;background:none; color:inherit;&quot;
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|style=&quot;width:280px;text-align:center;white-space:nowrap;color:#000&quot; |
&lt;div style=&quot;font-size:133%;border:none;margin: 0;padding:.1em;color:#000&quot;&gt;'''W&lt;small&gt;ELCOME TO THE &lt;/small&gt; C&lt;small&gt;ENTRE FOR&lt;/small&gt;&lt;br&gt;F&lt;small&gt;OREIGN&lt;/small&gt; L&lt;small&gt;ANGUAGE&lt;/small&gt; L&lt;small&gt;EARNING&lt;/small&gt;,'''&lt;/div&gt;
&lt;div style=&quot;top:+0.2em;font-size: 95%&quot;&gt;part of the School of [[School:Language and Literature|language and literature]].&lt;/div&gt;
&lt;div style=&quot;width:100%;text-align:center;font-size:80%;&quot;&gt;You may also be interested in [[Portal:Practical Arts and Sciences|Practical arts and sciences]].&lt;/div&gt;
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*[[Literary studies]]
*[[Portal:Foreign Language Learning/Participant Coordination|Sign up!]]
|style=&quot;width:10%;font-size:95%&quot;;color:#000&quot;|
[[Image:Nuvola apps bookcase.svg|center|50px|Language and Literature]]
|}
{{center bottom}}

&lt;div style=&quot;display:block;border:1px solid #aaaaaa;vertical-align: top;width:99%; background-color:#f9f9ff; {{text color default}};margin-bottom:10px;margin-top:5px;padding-left:5px;padding-right:4px;&quot;&gt;
&lt;h2 style=&quot;padding:3px; background:#aaccff; color:#000; text-align:center; font-weight:bold; font-size:100%; margin-bottom:5px;margin-top:0;margin-left:-5px;margin-right:-4px;&quot;&gt;Foreign Language Learning&lt;/h2 &gt;
[[Image:Globe of letters.svg|right|88px|Languages]] Hello and welcome to the Wikiversity Centre for Foreign Language Learning. Here you may learn foreign languages and explore their cultures, as well as teach others the languages that you speak.

Perhaps you are also interested in the Wikiversity's schools of various [[Portal:Ethnic Studies|ethnic studies]].

The study of the structure of a language and its development is called ''[[w:linguistics|linguistics]]''. Wikiversity's [[School:Linguistics|School of Linguistics]] is part of the [[Portal:Social Sciences|Faculty of Social Sciences]].

'''Note:''' Participants interested in language projects not yet featured here can coordinate with others at the Center's [[Portal:Foreign Language Learning/Participant Coordination|Participant Coordination]] page.
&lt;/div&gt;

&lt;div style=&quot;display:block;width:99%;float:left&quot;&gt;
&lt;div style=&quot;width:53%;display:block;float:left;&quot;&gt;
&lt;div style=&quot;display:block;border:1px solid #aaaaaa;vertical-align: top;width:100%; background-color:#f9f9ff; {{text color default}};margin-bottom:10px;padding-bottom:5px;padding-left:5px;padding-right:4px;&quot;&gt;
&lt;h2 style=&quot;padding:3px; background:#aaccff; color:#000; text-align:center; font-weight:bold; font-size:100%; margin-bottom:5px;margin-top:0;margin-left:-5px;margin-right:-4px;&quot;&gt;Indo-European languages&lt;/h2 &gt;
[[Image:Indo-European_branches_map.svg|right|300px|]]
* '''Germanic languages'''
** [[Portal:English Language|English]]
** [[Afrikaans|Afrikaans]]
** [[Portal:Dutch|Dutch]]
** [[Portal:German|German]]
** [[Portal:Danish|Danish]]
** [[Portal:Swedish|Swedish]]
** Norwegian
***[[Portal:Nynorsk|Nynorsk]]
***[[Portal:Norwegian|Bokmål]]
** [[Portal:Icelandic|Icelandic]]
** [[Portal:Faroese|Faroese]]
* '''Italic languages'''
** [[Portal:Latin|Latin]]
** '''Romance languages'''
*** [[Portal:Catalan|Catalan]]
*** [[Portal:French|French]]
**** [[Portal:Canadian French|Canadian French]]
*** [[Portal:Italian|Italian]]
*** [[Portal:Occitan|Occitan]]
*** [[Portal:Picard|Picard]]
*** [[Portal:Portuguese|Portuguese]]
*** [[Portal:Romansh|Romansh]]
*** [[Portal:Romanian|Romanian]]
*** [[Portal:Sardinian|Sardinian]]
**** [[Portal:Logudorese|Logudorese]]
***** [[Portal:Nuorese|Nuorese]]
**** [[Portal:Campidanese|Campidanese]]
*** [[Portal:Spanish|Spanish]]
* '''Slavic languages'''
** [[Portal:Czech|Czech]]
** [[Portal:Slovak|Slovak]]
** [[Portal:Polish|Polish]]
** [[Topic:Russian|Russian]]
** [[Portal:Ukrainian|Ukrainian]]
** [[Portal:Belarusian|Belarusian]]
** [[Portal:Slovene|Slovene]]
** [[Portal:Serbo-Croatian|Serbo-Croatian]] (Croatian, Serbian, Bosnian)
** [[Portal:Macedonian|Macedonian]]
** [[Portal:Bulgarian|Bulgarian]]
* '''Baltic languages'''
** [[Portal:Latvian|Latvian]]
** [[Portal:Lithuanian|Lithuanian]]
* '''Celtic languages'''
** [[Portal:Irish|Irish]]
** [[Portal:Scottish Gaelic|Scottish Gaelic]]
** [[Portal:Brythonic Celtic Languages Division|Brythonic Celtic Languages Division]]
*** [[Portal:Breton|Breton]]
*** [[Portal:Cornish|Cornish]]
*** [[Welsh|Welsh]]
* '''Indo-Iranian languages'''
** '''Indo-Aryan languages'''
*** '''Hindi languages'''
**** [[Portal:Hindustani|Hindustani]]
***** [[Portal:Hindi|Hindi]]
***** [[Portal:Urdu|Urdu]]
**** [[Portal:Awadhi|Awadhi]]
***** [[Fiji Hindi]]
*** [[Bengali|Bengali]]
*** [[Portal:Punjabi|Punjabi]]
*** [[Portal:Marathi|Marathi]]
*** [[Portal:Gujarati|Gujarati]]
*** [[Portal:Maithili|Maithili]]
*** [[Portal:Oriya|Oriya]]
*** [[Portal:Sindhi|Sindhi]]
*** [[Portal:Nepali|Nepali]]
*** [[Portal:Sinhala|Sinhala]]
*** [[Portal:Assamese|Assamese]]
** '''Iranian languages'''
*** [[Portal:Persian|Farsi]]
* '''Hellenic languages'''
** [[Introductory Ancient Greek Language|Ancient Greek]]
** [[Portal:Greek|Greek]]
* '''Other languages'''
** [[Portal:Albanian|Albanian]]
*** [[Standard Albanian|Standard (Tosk)]]
*** [[Gheg Albanian|Gheg]]
** [[Portal:Armenian|Armenian]]

:'''[[w:Indo-European languages|read more...]]'''
&lt;/div&gt;

&lt;div style=&quot;display:block;border:1px solid #aaaaaa;vertical-align: top;width:100%; background-color:#f9f9ff; {{text color default}};margin-bottom:10px;padding-bottom:5px;padding-left:5px;padding-right:4px;&quot;&gt;
&lt;h2 style=&quot;padding:3px; background:#aaccff; color:#000; text-align:center; font-weight:bold; font-size:100%; margin-bottom:5px;margin-top:0;margin-left:-5px;margin-right:-4px;&quot;&gt;Languages of the Americas&lt;/h2 &gt;
[[Image:P history.png|right|55px|]]
*[[:Category:Languages of North America|Languages of North America]]
**'''Iroquoian languages'''
*** [[Portal:Cherokee|Cherokee]]
**'''Na-Dené languages'''
*** [[Portal:Navajo|Navajo]]
*[[:Category:Ancient languages of central america|Languages of Central America]]
*[[:Category:Languages of South America|Languages of South America]]
** [[Portal:Quechua|Quechua]]

:'''[[w:Indigenous languages of the Americas|read more...]]'''
&lt;/div&gt;

&lt;div style=&quot;display:block;border:1px solid #aaaaaa;vertical-align: top;width:100%; background-color:#f9f9ff; {{text color default}};margin-bottom:10px;padding-bottom:5px;padding-left:5px;padding-right:4px;&quot;&gt;
&lt;h2 style=&quot;padding:3px; background:#aaccff; color:#000; text-align:center; font-weight:bold; font-size:100%; margin-bottom:5px;margin-top:0;margin-left:-5px;margin-right:-4px;&quot;&gt;Semitic and African languages&lt;/h2 &gt;
[[Image:Nuvola apps edu languages.svg|right|44px|]]

*'''Afro-Asiatic languages'''
**'''Berber languages'''
*** [[Portal:Tuareg|Tuareg]]
*** [[Portal:Kabyle|Kabyle]]
**'''Chadic languages'''
*** [[Portal:Hausa|Hausa]]
**'''Cushitic languages'''
*** [[Portal:Oromo|Oromo]]
*** [[Portal:Somali|Somali]]
**'''Egyptian languages'''
*** [[Portal:Ancient Egyptian|Ancient Egyptian]]
*** [[Portal:Coptic|Coptic]]
**'''Semitic languages'''
*** Arabic languages
**** [[Portal:Arabic|Modern Standard Arabic]]
**** [[Portal:Egyptian Arabic|Egyptian Arabic]]
**** [[Portal:Moroccan Arabic|Moroccan Arabic]]
**** [[Portal:Maltese|Maltese]]
*** [[Portal:Hebrew|Hebrew]]
**** [[Portal:Modern Hebrew|Modern Hebrew]]
**** [[Portal:Biblical Hebrew|Biblical Hebrew]]
*** [[Portal:Amharic|Amharic]]
**'''Omotic languages'''
:'''[[w:Afro-Asiatic languages|read more...]]'''
*'''Nilo-Saharan languages'''
**'''Eastern Sudanic languages'''
*** [[Portal:Luo|Luo]]
*** [[Portal:Maasai|Maasai]]
:'''[[w:Nilo-Saharan languages|read more...]]'''
*'''Niger–Congo / Bantu languages'''
** [[Portal:Luganda|Luganda]]
** [[Portal:Sesotho|Sesotho]]
** [[Portal:Swahili|Swahili]]
:'''[[w:Niger–Congo languages|read more...]]'''
&lt;/div&gt;
&lt;div style=&quot;display:block;border:1px solid #aaaaaa;vertical-align: top;width:100%; background-color:#f9f9ff; {{text color default}};margin-bottom:10px;padding-bottom:5px;padding-left:5px;padding-right:4px;&quot;&gt;
&lt;h2 style=&quot;padding:3px; background:#aaccff; color:#000; text-align:center; font-weight:bold; font-size:100%; margin-bottom:5px;margin-top:0;margin-left:-5px;margin-right:-4px;&quot;&gt;Austronesian languages&lt;/h2 &gt;
* [[Portal:Bikol|Bikol]]
* [[Portal:Malay|Malay]]
** [[Southeast Asian Languages/Bahasa Malaysia|Malaysian]]
** [[Southeast Asian Languages/Bahasa Indonesia|Indonesian]]
* [[Portal:Tagalog|Tagalog]]
** [[Southeast Asian Languages/Philippine Languages/Filipino One|Filipino]]
* [[Portal:Javanese|Javanese]]
* [[Portal:Sundanese|Sundanese]]
* [[Portal:Cebuano|Cebuano]]
* Malagasy
** [[Portal:Northern Betsimisaraka Malagasy|Northern Betsimisaraka Malagasy]]
** [[Portal:Plateau Malagasy|Plateau Malagasy]]
** [[Portal:Tandroy-Mahafaly Malagasy|Tandroy-Mahafaly Malagasy]]
** [[Portal:Tsimihety Malagasy|Tsimihety Malagasy]]
** [[Portal:Southern Betsimisaraka Malagasy|Southern Betsimisaraka Malagasy]]
* [[Portal:Maori|Maori]]
* [[Portal:Hawaiian|Hawaiian]]
:'''[[w:Austronesian languages|read more...]]'''
&lt;/div&gt;

&lt;/div &gt;
&lt;div style=&quot;width:43%;display:block;float:right;&quot;&gt;
&lt;div style=&quot;display:block;border:1px solid #aaaaaa;vertical-align: top;width:100%; background-color:#f9f9ff; {{text color default}};margin-bottom:10px;padding-bottom:5px;padding-left:5px;padding-right:4px;&quot;&gt;
&lt;h2 style=&quot;padding:3px; background:#aaccff; color:#000; text-align:center; font-weight:bold; font-size:100%; margin-bottom:5px;margin-top:0;margin-left:-5px;margin-right:-4px;&quot;&gt;Ural–Altaic languages&lt;/h2 &gt;
[[Image:Fenno-Ugrian languages.png|right|150px|]]
*'''Uralic languages'''
**'''Finnic languages'''
*** [[Portal:Finnish|Finnish]]
*** [[Portal:Estonian|Estonian]]
*** [[Portal:Karelian|Karelian]]
*** [[Portal:Votic|Votic]]
**'''Ugric languages'''
*** [[Portal:Hungarian|Hungarian]]
:'''[[w:Uralic languages|read more...]]'''
[[Image:Lenguas altaicas.png|right|150px|]]
*'''Turkic languages'''
** [[Turkish]]
** [[Portal:Azerbaijani|Azerbaijani]]
** [[Portal:Uzbek|Uzbek]]
** [[Portal:Kazakh|Kazakh]]
:'''[[w:Turkic languages|read more...]]'''
*'''Mongolic languages'''
** [[Portal:Mongolian|Mongolian]]
:'''[[w:Mongolic languages|read more...]]'''
*'''Tungusic languages'''
** [[Portal:Manchu|Manchu]]
:'''[[w:Tungusic languages|read more...]]'''
* '''Japonic languages'''
** [[Portal:Japanese|Japanese]]
** '''Ryukyuan languages'''
*** [[Portal:Okinawan|Okinawan]]
:'''[[w:Japonic languages|read more...]]'''
* [[Portal:Korean|Korean]]
:'''[[w:Koreanic languages|read more...]]'''
&lt;/div &gt;

&lt;div style=&quot;display:block;border:1px solid #aaaaaa;vertical-align: top;width:100%; background-color:#f9f9ff; {{text color default}};margin-bottom:10px;padding-bottom:5px;padding-left:5px;padding-right:4px;&quot;&gt;
&lt;h2 style=&quot;padding:3px; background:#aaccff; color:#000; text-align:center; font-weight:bold; font-size:100%; margin-bottom:5px;margin-top:0;margin-left:-5px;margin-right:-4px;&quot;&gt;East and South Asian languages&lt;/h2 &gt;
'''East Asian languages'''
[[Image:Sino-tibetan languages - branches.png|right|150px|]]
*'''Sino-Tibetan languages'''
** [[Portal:Tibetan|Tibetan]]
** [[Portal:Chinese|Chinese]] languages
***[[Mandarin]]
***[[Cantonese]]
** [[Portal:Burmese|Burmese]]
:'''[[w:Sino-Tibetan languages|read more...]]'''
'''[[Portal:Southeast Asian languages|Southeast Asian languages]]'''
[[Image:Austroasiatic-en.svg|right|150px|]]
*'''Austro-Asiatic languages'''
** [[Portal:Vietnamese|Vietnamese]]
** [[Portal:Khmer|Khmer]]
** [[Potal:Santali|Santali]]
** [[Portal:Ho|Ho]]
** [[Portal:Mundari|Mundari]]
** [[Portal:Khasi|Khasi]]
:'''[[w:Austro-Asiatic languages|read more...]]'''
[[Image:Hmong-Mien-en.svg|right|150px|]]
*'''Hmong–Mien languages'''
** Hmongic ('''[[w:Hmongic languages|read more...]]''')
** Mienic ('''[[w:Mienic languages|read more...]]''')
:'''[[w:Hmong–Mien languages|read more...]]'''
[[Image:Taikadai-en.svg|right|150px|]]
*'''Tai–Kadai languages'''
** [[Portal:Lao|Lao]]
** [[Portal:Thai|Thai]]
:'''[[w:Tai–Kadai languages|read more...]]'''
'''South Asian languages'''
[[Image:Dravidian subgroups.png|right|150px|]]
*'''Dravidian languages'''
** [[Portal:Telugu|Telugu]]
** [[Portal:Tamil|Tamil]]
** [[Portal:Kannada|Kannada]]
** [[Portal:Malayalam|Malayalam]]
** [[Portal:Brahui|Brahui]]
** [[Portal:Kurux|Kurux]]
** [[Portal:Gondi|Gondi]]
** [[Portal:Tulu|Tulu]]
:'''[[w:Dravidian languages|read more...]]'''

'''[[w:Languages of Asia|read more...]]'''
&lt;/div &gt;

&lt;div style=&quot;display:block;border:1px solid #aaaaaa;vertical-align: top;width:100%; background-color:#f9f9ff; {{text color default}};margin-bottom:10px;padding-bottom:5px;padding-left:5px;padding-right:4px;&quot;&gt;
&lt;h2 style=&quot;padding:3px; background:#aaccff; color:#000; text-align:center; font-weight:bold; font-size:100%; margin-bottom:5px;margin-top:0;margin-left:-5px;margin-right:-4px;&quot;&gt;Other languages and language isolates&lt;/h2 &gt;
[[Image:Nuvola apps kfind.png|right|56px|]]
* [[Topic:Basque|Basque]]
*'''Kartvelian languages'''
** [[Topic:Georgian|Georgian]]
** [[Topic:Mingrelian|Mingrelian]]
** [[Topic:Svan|Svan]]
** [[Topic:Laz|Laz]]
:'''[[w:Kartvelian languages|read more...]]'''
*'''Northwest Caucasian languages'''
** [[Topic:Akbhaz|Abkhaz]]
** [[Topic:Adyghe|Adyghe]]
:'''[[w:Northwest Caucasian languages|read more...]]'''
*'''Northeast Caucasian languages'''
** [[Portal:Chechen|Chechen]]
** [[Portal:Ingush|Ingush]]
** [[Portal:Avar|Avar]]
** [[Portal:Dargwa|Dargwa]]
** [[Portal:Lak|Lak]]
** [[Portal:Tabasaran|Tabasaran]]
:'''[[w:Northeast Caucasian languages|read more...]]'''
* [[Portal:Hadza|Hadza]]
* [[Portal:Sandawe|Sandawe]]
&lt;/div&gt;
&lt;div style=&quot;display:block;border:1px solid #aaaaaa;vertical-align: top;width:100%; background-color:#f9f9ff; {{text color default}};margin-bottom:10px;padding-bottom:5px;padding-left:5px;padding-right:4px;&quot;&gt;
&lt;h2 style=&quot;padding:3px; background:#aaccff; color:#000; text-align:center; font-weight:bold; font-size:100%; margin-bottom:5px;margin-top:0;margin-left:-5px;margin-right:-4px;&quot;&gt;Constructed languages&lt;/h2 &gt;
* [[Esperanto]]
* [[Ido]]
* [[Interlingua|Interlingua]]
* [[Ithkuil]]
* [[Portal:Klingon|Klingon]]
* [[Portal:Láadan|Láadan]]
* [[Portal:Loglan|Loglan]]
* [[Portal:Lojban|Lojban]]
* [[Portal:Novial|Novial]]
* [[Portal:Slovio|Slovio]]
* [[Portal:Toki Pona|Toki Pona]]
* [[Turoke|Turoke]]
* [[Portal:Unilingua|Unilingua]]
* [[Portal:Volapük|Volapük]]
*'''Tolkienesque languages'''
** [[Quenya]]
** [[Sindarin]]
** [[Portal:Tolkien Languages|other]]
:'''[[w:List of constructed languages|read more...]]'''
&lt;/div&gt;
&lt;div style=&quot;display:block;border:1px solid #aaaaaa;vertical-align: top;width:100%; background-color:#f9f9ff; {{text color default}};margin-bottom:10px;padding-bottom:5px;padding-left:5px;padding-right:4px;&quot;&gt;
&lt;h2 style=&quot;padding:3px; background:#aaccff; color:#000; text-align:center; font-weight:bold; font-size:100%; margin-bottom:5px;margin-top:0;margin-left:-5px;margin-right:-4px;&quot;&gt;Sign languages&lt;/h2 &gt;
* [[Portal:American Sign Language|American Sign Language]]
* [[Portal:Filipino Sign Language|Filipino Sign Language]]
* [[Portal:French Sign Language|French Sign Language]]
* [[Portal:Chinese Sign Language|Chinese Sign Language]]
* [[Portal:Japanese Sign Language|Japanese Sign Language]]
* [[Portal:Dutch Sign Language|Dutch Sign Language]]
:'''[[w:List of sign languages|read more...]]'''
&lt;/div &gt;
&lt;/div &gt;
&lt;/div &gt;

&lt;div style=&quot;display:block;float:left;width:100%;&quot;&gt;
&lt;div style=&quot;display:block;border:1px solid #aaaaaa;vertical-align: top; background-color:#f9f9ff; {{text color default}};margin-bottom:10px;padding-bottom:5px;padding-left:5px;padding-right:4px;&quot;&gt;
&lt;h2 style=&quot;padding:3px; background:#aaccff; color:#000; text-align:center; font-weight:bold; font-size:100%; margin-bottom:5px;margin-top:0;margin-left:-5px;margin-right:-4px;&quot;&gt;Useful textbooks from [[b:|Wikibooks]]&lt;/h2 &gt;
{|
|style=&quot;width:44%;font-size:95%;color:#000&quot;|
*[[b:Wikibooks:Language and literature bookshelf|Books about language and literature]]
*[[b:Wikibooks:Languages bookshelf|Textbooks for learning languages]]
|style=&quot;width:44%;font-size:95%&quot;|
*[[b:Wikibooks:Humanities bookshelf|Humanities bookshelf]]
*[[b:Wikibooks:Social sciences bookshelf|Social sciences bookshelf]]
|style=&quot;width:11%;font-size:95%&quot;|
[[Image:Nuvola apps bookcase.svg|center|50px|Reading]]
|}
&lt;/div &gt;
&lt;/div &gt;

&lt;div style=&quot;display:block;float:left;width:100%;&quot;&gt;
&lt;div style=&quot;display:block;border:1px solid #aaaaaa;vertical-align: top; background-color:#f9f9ff; {{text color default}};margin-bottom:10px;padding-bottom:5px;padding-left:5px;padding-right:4px;&quot;&gt;
&lt;h2 style=&quot;padding:3px; background:#aaccff; color:#000; text-align:center; font-weight:bold; font-size:100%; margin-bottom:5px;margin-top:0;margin-left:-5px;margin-right:-4px;&quot;&gt;Associated Wikiversity schools and faculties&lt;/h2 &gt;
*[[School:Language and Literature|The School of Language and Literature]] [[School:Language and Literature/Resource catalogue|resource catalogue]]
*[[Portal:Ethnic Studies|List of various schools of ethnic studies]]
*[[School:Linguistics|School of Linguistics]]
&lt;/div &gt;
&lt;/div &gt;

__NOEDITSECTION__
__NOTOC__
[[Category:Foreign Language Learning| ]]
[[Category:Languages]]
[[Category:Interlingual Beta Club]]
[[Category:Languages and Language families]]
[[Category:Multilingual Studies]]

[[fr:Faculté:Langues étrangères]]</text>
      <sha1>rpp51r88sflcdu799q0m76428xtstdo</sha1>
    </revision>
    <revision>
      <id>2804052</id>
      <parentid>2804011</parentid>
      <timestamp>2026-04-10T02:50:25Z</timestamp>
      <contributor>
        <username>CarlessParking</username>
        <id>3064444</id>
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      <text bytes="17930" sha1="qqvsjsb9omfvojmhrofewou8fm9amez" xml:space="preserve">&lt;div style=&quot;margin-top:-3px; margin-bottom:0.3em; text-align: center; font-size: 98%;&quot;&gt; 
{{center top}}'''[[Portal:Humanities|F&lt;small&gt;ACULTY FOR&lt;/small&gt; H&lt;small&gt;UMANITIES&lt;/small&gt;]]'''{{center bottom}}
[[School:Art and Design|Art and Design]] · [[School:Classics|Classics]] · [[Portal:Mythology|Mythology]] · [[School:Law|Law]] · [[School:Language and Literature|Language and Literature]] · [[School:Music and Dance|Music]] · [[School:Philosophy|Philosophy]] · [[School:Theology|Theology]]&lt;/div&gt;

{{center top}}
{|style=&quot;width:100%;margin-top:+.7em;background-color:#fcfcfc; {{text color default}};border:1px solid #ccc&quot;
|style=&quot;width:50%;color:#000&quot;|
{|style=&quot;width:280px;border:solid 0px;background:none; color:inherit;&quot;
|-
|style=&quot;width:280px;text-align:center;white-space:nowrap;color:#000&quot; |
&lt;div style=&quot;font-size:133%;border:none;margin: 0;padding:.1em;color:#000&quot;&gt;'''W&lt;small&gt;ELCOME TO THE &lt;/small&gt; C&lt;small&gt;ENTRE FOR&lt;/small&gt;&lt;br&gt;F&lt;small&gt;OREIGN&lt;/small&gt; L&lt;small&gt;ANGUAGE&lt;/small&gt; L&lt;small&gt;EARNING&lt;/small&gt;,'''&lt;/div&gt;
&lt;div style=&quot;top:+0.2em;font-size: 95%&quot;&gt;part of the School of [[School:Language and Literature|language and literature]].&lt;/div&gt;
&lt;div style=&quot;width:100%;text-align:center;font-size:80%;&quot;&gt;You may also be interested in [[Portal:Practical Arts and Sciences|Practical arts and sciences]].&lt;/div&gt;
|}
|style=&quot;width:18%;font-size:95%;color:#000&quot;|
*[[Literary studies]]
*[[Portal:Foreign Language Learning/Participant Coordination|Sign up!]]
|style=&quot;width:10%;font-size:95%&quot;;color:#000&quot;|
[[Image:Nuvola apps bookcase.svg|center|50px|Language and Literature]]
|}
{{center bottom}}

&lt;div style=&quot;display:block;border:1px solid #aaaaaa;vertical-align: top;width:99%; background-color:#f9f9ff; {{text color default}};margin-bottom:10px;margin-top:5px;padding-left:5px;padding-right:4px;&quot;&gt;
&lt;h2 style=&quot;padding:3px; background:#aaccff; color:#000; text-align:center; font-weight:bold; font-size:100%; margin-bottom:5px;margin-top:0;margin-left:-5px;margin-right:-4px;&quot;&gt;Foreign Language Learning&lt;/h2 &gt;
[[Image:Globe of letters.svg|right|88px|Languages]] Hello and welcome to the Wikiversity Centre for Foreign Language Learning. Here you may learn foreign languages and explore their cultures, as well as teach others the languages that you speak.

Perhaps you are also interested in the Wikiversity's schools of various [[Portal:Ethnic Studies|ethnic studies]].

The study of the structure of a language and its development is called ''[[w:linguistics|linguistics]]''. Wikiversity's [[School:Linguistics|School of Linguistics]] is part of the [[Portal:Social Sciences|Faculty of Social Sciences]].

'''Note:''' Participants interested in language projects not yet featured here can coordinate with others at the Center's [[Portal:Foreign Language Learning/Participant Coordination|Participant Coordination]] page.
&lt;/div&gt;

&lt;div style=&quot;display:block;width:99%;float:left&quot;&gt;
&lt;div style=&quot;width:53%;display:block;float:left;&quot;&gt;
&lt;div style=&quot;display:block;border:1px solid #aaaaaa;vertical-align: top;width:100%; background-color:#f9f9ff; {{text color default}};margin-bottom:10px;padding-bottom:5px;padding-left:5px;padding-right:4px;&quot;&gt;
&lt;h2 style=&quot;padding:3px; background:#aaccff; color:#000; text-align:center; font-weight:bold; font-size:100%; margin-bottom:5px;margin-top:0;margin-left:-5px;margin-right:-4px;&quot;&gt;Indo-European languages&lt;/h2 &gt;
[[Image:Indo-European_branches_map.svg|right|300px|]]
* '''Germanic languages'''
** [[Portal:English Language|English]]
** [[Afrikaans|Afrikaans]]
** [[Portal:Dutch|Dutch]]
** [[Portal:German|German]]
** [[Portal:Danish|Danish]]
** [[Portal:Swedish|Swedish]]
** Norwegian
***[[Portal:Nynorsk|Nynorsk]]
***[[Portal:Norwegian|Bokmål]]
** [[Portal:Icelandic|Icelandic]]
** [[Portal:Faroese|Faroese]]
* '''Italic languages'''
** [[Portal:Latin|Latin]]
** '''Romance languages'''
*** [[Portal:Catalan|Catalan]]
*** [[Portal:French|French]]
**** [[Portal:Canadian French|Canadian French]]
*** [[Portal:Italian|Italian]]
*** [[Portal:Occitan|Occitan]]
*** [[Portal:Picard|Picard]]
*** [[Portal:Portuguese|Portuguese]]
*** [[Portal:Romansh|Romansh]]
*** [[Portal:Romanian|Romanian]]
*** [[Portal:Sardinian|Sardinian]]
**** [[Portal:Logudorese|Logudorese]]
***** [[Portal:Nuorese|Nuorese]]
**** [[Portal:Campidanese|Campidanese]]
*** [[Portal:Spanish|Spanish]]
* '''Slavic languages'''
** [[Portal:Czech|Czech]]
** [[Portal:Slovak|Slovak]]
** [[Portal:Polish|Polish]]
** [[Topic:Russian|Russian]]
** [[Portal:Ukrainian|Ukrainian]]
** [[Portal:Belarusian|Belarusian]]
** [[Portal:Slovene|Slovene]]
** [[Portal:Serbo-Croatian|Serbo-Croatian]] (Croatian, Serbian, Bosnian)
** [[Portal:Macedonian|Macedonian]]
** [[Portal:Bulgarian|Bulgarian]]
* '''Baltic languages'''
** [[Portal:Latvian|Latvian]]
** [[Portal:Lithuanian|Lithuanian]]
* '''Celtic languages'''
** [[Portal:Irish|Irish]]
** [[Portal:Scottish Gaelic|Scottish Gaelic]]
** [[Portal:Brythonic Celtic Languages Division|Brythonic Celtic Languages Division]]
*** [[Portal:Breton|Breton]]
*** [[Portal:Cornish|Cornish]]
*** [[Welsh|Welsh]]
* '''Indo-Iranian languages'''
** '''Indo-Aryan languages'''
*** '''Hindi languages'''
**** [[Portal:Hindustani|Hindustani]]
***** [[Portal:Hindi|Hindi]]
***** [[Portal:Urdu|Urdu]]
**** [[Portal:Awadhi|Awadhi]]
***** [[Fiji Hindi]]
*** [[Bengali|Bengali]]
*** [[Portal:Punjabi|Punjabi]]
*** [[Portal:Marathi|Marathi]]
*** [[Portal:Gujarati|Gujarati]]
*** [[Portal:Maithili|Maithili]]
*** [[Portal:Oriya|Oriya]]
*** [[Portal:Sindhi|Sindhi]]
*** [[Portal:Nepali|Nepali]]
*** [[Portal:Sinhala|Sinhala]]
*** [[Portal:Assamese|Assamese]]
** '''Iranian languages'''
*** [[Portal:Persian|Farsi]]
* '''Hellenic languages'''
** [[Introductory Ancient Greek Language|Ancient Greek]]
** [[Portal:Greek|Greek]]
* '''Other languages'''
** [[Portal:Albanian|Albanian]]
*** [[Standard Albanian|Standard (Tosk)]]
*** [[Gheg Albanian|Gheg]]
** [[Portal:Armenian|Armenian]]

:'''[[w:Indo-European languages|read more...]]'''
&lt;/div&gt;

&lt;div style=&quot;display:block;border:1px solid #aaaaaa;vertical-align: top;width:100%; background-color:#f9f9ff; {{text color default}};margin-bottom:10px;padding-bottom:5px;padding-left:5px;padding-right:4px;&quot;&gt;
&lt;h2 style=&quot;padding:3px; background:#aaccff; color:#000; text-align:center; font-weight:bold; font-size:100%; margin-bottom:5px;margin-top:0;margin-left:-5px;margin-right:-4px;&quot;&gt;Languages of the Americas&lt;/h2 &gt;
[[Image:P history.png|right|55px|]]
*[[:Category:Languages of North America|Languages of North America]]
**'''Iroquoian languages'''
*** [[Portal:Cherokee|Cherokee]]
**'''Na-Dené languages'''
*** [[Portal:Navajo|Navajo]]
*[[:Category:Ancient languages of central america|Languages of Central America]]
*[[:Category:Languages of South America|Languages of South America]]
** [[Portal:Quechua|Quechua]]
** [[Mapudungun language|Mapudungun]]

:'''[[w:Indigenous languages of the Americas|read more...]]'''
&lt;/div&gt;

&lt;div style=&quot;display:block;border:1px solid #aaaaaa;vertical-align: top;width:100%; background-color:#f9f9ff; {{text color default}};margin-bottom:10px;padding-bottom:5px;padding-left:5px;padding-right:4px;&quot;&gt;
&lt;h2 style=&quot;padding:3px; background:#aaccff; color:#000; text-align:center; font-weight:bold; font-size:100%; margin-bottom:5px;margin-top:0;margin-left:-5px;margin-right:-4px;&quot;&gt;Semitic and African languages&lt;/h2 &gt;
[[Image:Nuvola apps edu languages.svg|right|44px|]]

*'''Afro-Asiatic languages'''
**'''Berber languages'''
*** [[Portal:Tuareg|Tuareg]]
*** [[Portal:Kabyle|Kabyle]]
**'''Chadic languages'''
*** [[Portal:Hausa|Hausa]]
**'''Cushitic languages'''
*** [[Portal:Oromo|Oromo]]
*** [[Portal:Somali|Somali]]
**'''Egyptian languages'''
*** [[Portal:Ancient Egyptian|Ancient Egyptian]]
*** [[Portal:Coptic|Coptic]]
**'''Semitic languages'''
*** Arabic languages
**** [[Portal:Arabic|Modern Standard Arabic]]
**** [[Portal:Egyptian Arabic|Egyptian Arabic]]
**** [[Portal:Moroccan Arabic|Moroccan Arabic]]
**** [[Portal:Maltese|Maltese]]
*** [[Portal:Hebrew|Hebrew]]
**** [[Portal:Modern Hebrew|Modern Hebrew]]
**** [[Portal:Biblical Hebrew|Biblical Hebrew]]
*** [[Portal:Amharic|Amharic]]
**'''Omotic languages'''
:'''[[w:Afro-Asiatic languages|read more...]]'''
*'''Nilo-Saharan languages'''
**'''Eastern Sudanic languages'''
*** [[Portal:Luo|Luo]]
*** [[Portal:Maasai|Maasai]]
:'''[[w:Nilo-Saharan languages|read more...]]'''
*'''Niger–Congo / Bantu languages'''
** [[Portal:Luganda|Luganda]]
** [[Portal:Sesotho|Sesotho]]
** [[Portal:Swahili|Swahili]]
:'''[[w:Niger–Congo languages|read more...]]'''
&lt;/div&gt;
&lt;div style=&quot;display:block;border:1px solid #aaaaaa;vertical-align: top;width:100%; background-color:#f9f9ff; {{text color default}};margin-bottom:10px;padding-bottom:5px;padding-left:5px;padding-right:4px;&quot;&gt;
&lt;h2 style=&quot;padding:3px; background:#aaccff; color:#000; text-align:center; font-weight:bold; font-size:100%; margin-bottom:5px;margin-top:0;margin-left:-5px;margin-right:-4px;&quot;&gt;Austronesian languages&lt;/h2 &gt;
* [[Portal:Bikol|Bikol]]
* [[Portal:Malay|Malay]]
** [[Southeast Asian Languages/Bahasa Malaysia|Malaysian]]
** [[Southeast Asian Languages/Bahasa Indonesia|Indonesian]]
* [[Portal:Tagalog|Tagalog]]
** [[Southeast Asian Languages/Philippine Languages/Filipino One|Filipino]]
* [[Portal:Javanese|Javanese]]
* [[Portal:Sundanese|Sundanese]]
* [[Portal:Cebuano|Cebuano]]
* Malagasy
** [[Portal:Northern Betsimisaraka Malagasy|Northern Betsimisaraka Malagasy]]
** [[Portal:Plateau Malagasy|Plateau Malagasy]]
** [[Portal:Tandroy-Mahafaly Malagasy|Tandroy-Mahafaly Malagasy]]
** [[Portal:Tsimihety Malagasy|Tsimihety Malagasy]]
** [[Portal:Southern Betsimisaraka Malagasy|Southern Betsimisaraka Malagasy]]
* [[Portal:Maori|Maori]]
* [[Portal:Hawaiian|Hawaiian]]
:'''[[w:Austronesian languages|read more...]]'''
&lt;/div&gt;

&lt;/div &gt;
&lt;div style=&quot;width:43%;display:block;float:right;&quot;&gt;
&lt;div style=&quot;display:block;border:1px solid #aaaaaa;vertical-align: top;width:100%; background-color:#f9f9ff; {{text color default}};margin-bottom:10px;padding-bottom:5px;padding-left:5px;padding-right:4px;&quot;&gt;
&lt;h2 style=&quot;padding:3px; background:#aaccff; color:#000; text-align:center; font-weight:bold; font-size:100%; margin-bottom:5px;margin-top:0;margin-left:-5px;margin-right:-4px;&quot;&gt;Ural–Altaic languages&lt;/h2 &gt;
[[Image:Fenno-Ugrian languages.png|right|150px|]]
*'''Uralic languages'''
**'''Finnic languages'''
*** [[Portal:Finnish|Finnish]]
*** [[Portal:Estonian|Estonian]]
*** [[Portal:Karelian|Karelian]]
*** [[Portal:Votic|Votic]]
**'''Ugric languages'''
*** [[Portal:Hungarian|Hungarian]]
:'''[[w:Uralic languages|read more...]]'''
[[Image:Lenguas altaicas.png|right|150px|]]
*'''Turkic languages'''
** [[Turkish]]
** [[Portal:Azerbaijani|Azerbaijani]]
** [[Portal:Uzbek|Uzbek]]
** [[Portal:Kazakh|Kazakh]]
:'''[[w:Turkic languages|read more...]]'''
*'''Mongolic languages'''
** [[Portal:Mongolian|Mongolian]]
:'''[[w:Mongolic languages|read more...]]'''
*'''Tungusic languages'''
** [[Portal:Manchu|Manchu]]
:'''[[w:Tungusic languages|read more...]]'''
* '''Japonic languages'''
** [[Portal:Japanese|Japanese]]
** '''Ryukyuan languages'''
*** [[Portal:Okinawan|Okinawan]]
:'''[[w:Japonic languages|read more...]]'''
* [[Portal:Korean|Korean]]
:'''[[w:Koreanic languages|read more...]]'''
&lt;/div &gt;

&lt;div style=&quot;display:block;border:1px solid #aaaaaa;vertical-align: top;width:100%; background-color:#f9f9ff; {{text color default}};margin-bottom:10px;padding-bottom:5px;padding-left:5px;padding-right:4px;&quot;&gt;
&lt;h2 style=&quot;padding:3px; background:#aaccff; color:#000; text-align:center; font-weight:bold; font-size:100%; margin-bottom:5px;margin-top:0;margin-left:-5px;margin-right:-4px;&quot;&gt;East and South Asian languages&lt;/h2 &gt;
'''East Asian languages'''
[[Image:Sino-tibetan languages - branches.png|right|150px|]]
*'''Sino-Tibetan languages'''
** [[Portal:Tibetan|Tibetan]]
** [[Portal:Chinese|Chinese]] languages
***[[Mandarin]]
***[[Cantonese]]
** [[Portal:Burmese|Burmese]]
:'''[[w:Sino-Tibetan languages|read more...]]'''
'''[[Portal:Southeast Asian languages|Southeast Asian languages]]'''
[[Image:Austroasiatic-en.svg|right|150px|]]
*'''Austro-Asiatic languages'''
** [[Portal:Vietnamese|Vietnamese]]
** [[Portal:Khmer|Khmer]]
** [[Potal:Santali|Santali]]
** [[Portal:Ho|Ho]]
** [[Portal:Mundari|Mundari]]
** [[Portal:Khasi|Khasi]]
:'''[[w:Austro-Asiatic languages|read more...]]'''
[[Image:Hmong-Mien-en.svg|right|150px|]]
*'''Hmong–Mien languages'''
** Hmongic ('''[[w:Hmongic languages|read more...]]''')
** Mienic ('''[[w:Mienic languages|read more...]]''')
:'''[[w:Hmong–Mien languages|read more...]]'''
[[Image:Taikadai-en.svg|right|150px|]]
*'''Tai–Kadai languages'''
** [[Portal:Lao|Lao]]
** [[Portal:Thai|Thai]]
:'''[[w:Tai–Kadai languages|read more...]]'''
'''South Asian languages'''
[[Image:Dravidian subgroups.png|right|150px|]]
*'''Dravidian languages'''
** [[Portal:Telugu|Telugu]]
** [[Portal:Tamil|Tamil]]
** [[Portal:Kannada|Kannada]]
** [[Portal:Malayalam|Malayalam]]
** [[Portal:Brahui|Brahui]]
** [[Portal:Kurux|Kurux]]
** [[Portal:Gondi|Gondi]]
** [[Portal:Tulu|Tulu]]
:'''[[w:Dravidian languages|read more...]]'''

'''[[w:Languages of Asia|read more...]]'''
&lt;/div &gt;

&lt;div style=&quot;display:block;border:1px solid #aaaaaa;vertical-align: top;width:100%; background-color:#f9f9ff; {{text color default}};margin-bottom:10px;padding-bottom:5px;padding-left:5px;padding-right:4px;&quot;&gt;
&lt;h2 style=&quot;padding:3px; background:#aaccff; color:#000; text-align:center; font-weight:bold; font-size:100%; margin-bottom:5px;margin-top:0;margin-left:-5px;margin-right:-4px;&quot;&gt;Other languages and language isolates&lt;/h2 &gt;
[[Image:Nuvola apps kfind.png|right|56px|]]
* [[Topic:Basque|Basque]]
*'''Kartvelian languages'''
** [[Topic:Georgian|Georgian]]
** [[Topic:Mingrelian|Mingrelian]]
** [[Topic:Svan|Svan]]
** [[Topic:Laz|Laz]]
:'''[[w:Kartvelian languages|read more...]]'''
*'''Northwest Caucasian languages'''
** [[Topic:Akbhaz|Abkhaz]]
** [[Topic:Adyghe|Adyghe]]
:'''[[w:Northwest Caucasian languages|read more...]]'''
*'''Northeast Caucasian languages'''
** [[Portal:Chechen|Chechen]]
** [[Portal:Ingush|Ingush]]
** [[Portal:Avar|Avar]]
** [[Portal:Dargwa|Dargwa]]
** [[Portal:Lak|Lak]]
** [[Portal:Tabasaran|Tabasaran]]
:'''[[w:Northeast Caucasian languages|read more...]]'''
* [[Portal:Hadza|Hadza]]
* [[Portal:Sandawe|Sandawe]]
&lt;/div&gt;
&lt;div style=&quot;display:block;border:1px solid #aaaaaa;vertical-align: top;width:100%; background-color:#f9f9ff; {{text color default}};margin-bottom:10px;padding-bottom:5px;padding-left:5px;padding-right:4px;&quot;&gt;
&lt;h2 style=&quot;padding:3px; background:#aaccff; color:#000; text-align:center; font-weight:bold; font-size:100%; margin-bottom:5px;margin-top:0;margin-left:-5px;margin-right:-4px;&quot;&gt;Constructed languages&lt;/h2 &gt;
* [[Esperanto]]
* [[Ido]]
* [[Interlingua|Interlingua]]
* [[Ithkuil]]
* [[Portal:Klingon|Klingon]]
* [[Portal:Láadan|Láadan]]
* [[Portal:Loglan|Loglan]]
* [[Portal:Lojban|Lojban]]
* [[Portal:Novial|Novial]]
* [[Portal:Slovio|Slovio]]
* [[Portal:Toki Pona|Toki Pona]]
* [[Turoke|Turoke]]
* [[Portal:Unilingua|Unilingua]]
* [[Portal:Volapük|Volapük]]
*'''Tolkienesque languages'''
** [[Quenya]]
** [[Sindarin]]
** [[Portal:Tolkien Languages|other]]
:'''[[w:List of constructed languages|read more...]]'''
&lt;/div&gt;
&lt;div style=&quot;display:block;border:1px solid #aaaaaa;vertical-align: top;width:100%; background-color:#f9f9ff; {{text color default}};margin-bottom:10px;padding-bottom:5px;padding-left:5px;padding-right:4px;&quot;&gt;
&lt;h2 style=&quot;padding:3px; background:#aaccff; color:#000; text-align:center; font-weight:bold; font-size:100%; margin-bottom:5px;margin-top:0;margin-left:-5px;margin-right:-4px;&quot;&gt;Sign languages&lt;/h2 &gt;
* [[Portal:American Sign Language|American Sign Language]]
* [[Portal:Filipino Sign Language|Filipino Sign Language]]
* [[Portal:French Sign Language|French Sign Language]]
* [[Portal:Chinese Sign Language|Chinese Sign Language]]
* [[Portal:Japanese Sign Language|Japanese Sign Language]]
* [[Portal:Dutch Sign Language|Dutch Sign Language]]
:'''[[w:List of sign languages|read more...]]'''
&lt;/div &gt;
&lt;/div &gt;
&lt;/div &gt;

&lt;div style=&quot;display:block;float:left;width:100%;&quot;&gt;
&lt;div style=&quot;display:block;border:1px solid #aaaaaa;vertical-align: top; background-color:#f9f9ff; {{text color default}};margin-bottom:10px;padding-bottom:5px;padding-left:5px;padding-right:4px;&quot;&gt;
&lt;h2 style=&quot;padding:3px; background:#aaccff; color:#000; text-align:center; font-weight:bold; font-size:100%; margin-bottom:5px;margin-top:0;margin-left:-5px;margin-right:-4px;&quot;&gt;Useful textbooks from [[b:|Wikibooks]]&lt;/h2 &gt;
{|
|style=&quot;width:44%;font-size:95%;color:#000&quot;|
*[[b:Wikibooks:Language and literature bookshelf|Books about language and literature]]
*[[b:Wikibooks:Languages bookshelf|Textbooks for learning languages]]
|style=&quot;width:44%;font-size:95%&quot;|
*[[b:Wikibooks:Humanities bookshelf|Humanities bookshelf]]
*[[b:Wikibooks:Social sciences bookshelf|Social sciences bookshelf]]
|style=&quot;width:11%;font-size:95%&quot;|
[[Image:Nuvola apps bookcase.svg|center|50px|Reading]]
|}
&lt;/div &gt;
&lt;/div &gt;

&lt;div style=&quot;display:block;float:left;width:100%;&quot;&gt;
&lt;div style=&quot;display:block;border:1px solid #aaaaaa;vertical-align: top; background-color:#f9f9ff; {{text color default}};margin-bottom:10px;padding-bottom:5px;padding-left:5px;padding-right:4px;&quot;&gt;
&lt;h2 style=&quot;padding:3px; background:#aaccff; color:#000; text-align:center; font-weight:bold; font-size:100%; margin-bottom:5px;margin-top:0;margin-left:-5px;margin-right:-4px;&quot;&gt;Associated Wikiversity schools and faculties&lt;/h2 &gt;
*[[School:Language and Literature|The School of Language and Literature]] [[School:Language and Literature/Resource catalogue|resource catalogue]]
*[[Portal:Ethnic Studies|List of various schools of ethnic studies]]
*[[School:Linguistics|School of Linguistics]]
&lt;/div &gt;
&lt;/div &gt;

__NOEDITSECTION__
__NOTOC__
[[Category:Foreign Language Learning| ]]
[[Category:Languages]]
[[Category:Interlingual Beta Club]]
[[Category:Languages and Language families]]
[[Category:Multilingual Studies]]

[[fr:Faculté:Langues étrangères]]</text>
      <sha1>qqvsjsb9omfvojmhrofewou8fm9amez</sha1>
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  </page>
  <page>
    <title>Wikiversity:Page protection</title>
    <ns>4</ns>
    <id>4914</id>
    <revision>
      <id>2803945</id>
      <parentid>2778359</parentid>
      <timestamp>2026-04-09T15:18:00Z</timestamp>
      <contributor>
        <username>Codename Noreste</username>
        <id>2969951</id>
      </contributor>
      <comment>Updating, adding basic information about what each protection does, re-writing, etc.</comment>
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      <text bytes="1774" sha1="cuyqfc3hyujaafqeqzduo7ccfwlkuhc" xml:space="preserve">{{shortcut|WV:PP|WV:PROTECT}}
Wikiversity [[Wikiversity:Curators|curators]] and [[Wikiversity:Custodianship|custodians]] have the technical ability to protect a page from edits, moves, or page creations. Page protection is often used to prevent further [[Wikiversity:Vandalism|vandalism]] or edit wars.

== Protection types ==
=== Create protection ===
[[File:Create-protection-shackle.svg|64px|upright=0.4|right|alt=Sky blue padlock|link=]]
When a page is under creation protection (also known as '''salting''') it can only be created by autoconfirmed users, or curators and custodians. Pages that are protected from creation are listed at [[Special:ProtectedTitles]].

=== Move protection ===
[[File:Move-protection-shackle.svg|64px|upright=0.4|right|alt=Green padlock|link=]]
When a page is under move protection (or more technically, fully move-protected), it can only be moved by a curator or a custodian.

=== Cascading protection ===
[[File:Cascade-protection-shackle.svg|64px|upright=0.4|right|alt=Turquoise padlock|link=]]
Cascading protection fully protects a page, and all pages transcluded through that page are also fully protected, whether directly or indirectly.

== Protection levels ==
=== Semi-protection ===
[[File:Semi-protection-shackle.svg|64px|upright=0.4|right|alt=Silver padlock|link=]]
A semi-protected page can only be edited by [[Wikiversity:Who are Wikiversity participants?|participants]] whose accounts are at least four days old.

=== Full protection ===
[[File:Full-protection-shackle.svg|64px|upright=0.4|right|alt=Gold padlock|link=]]
A fully protected page can only be edited or moved by curators and custodians.

== See also==
* [[Wikiversity:Page protection templates]]
* [[Template:Active course]]

[[Category:Wikiversity maintenance]]</text>
      <sha1>cuyqfc3hyujaafqeqzduo7ccfwlkuhc</sha1>
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  <page>
    <title>School:Language Studies/Resource catalogue</title>
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    <revision>
      <id>2804053</id>
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      <timestamp>2026-04-10T03:16:21Z</timestamp>
      <contributor>
        <username>CarlessParking</username>
        <id>3064444</id>
      </contributor>
      <comment>/* Southeast Asian language department */</comment>
      <origin>2804053</origin>
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      <text bytes="6366" sha1="aoflhjddvq3tc9qwk97wpk9v7wwmcxe" xml:space="preserve">Welcome to the Language and Literature catalog of resources, projects and courses, listed by department. This does not include the external links listed on department pages. We will try to keep these up-to-date, but if you see that a resource is missing from our list, please add it below. You may also want to check out the [[School:Language and Literature/Library|School of Language and Literature library]].

The [[School:Language and Literature|School of Language and Literature]] currently contains the following projects, courses and resources listed by department. Departments are listed in alphabetical order.

Note: similar resources listed outside of the School of Language and Literature will not be listed here. Sorry for any inconvenience or confusion this may cause. 

==Arabic language department==
Resources, projects and courses currently being offered by the [[Portal:Arabic|Arabic department]]
*[[Portal:Arabic/Arabic stream|Arabic stream]]
*[[Elementary Arabic I]]

==Aymara language department==
Resources, projects and courses currently being offered by the [[Portal:Aymaran|Aymara department]]
*[[Aymaran stream]]
*[[Introduction to Aymaran]]

==Breton language department==
Resources, projects and courses currently being offered by the [[Portal:Breton|Breton department]]
*[[Breton|Introduction to Breton]] ''introductory course''
*[[Brezhoneg Unan]] ''beginner's course I''
*[[Brezhoneg Daoù]] ''beginner's course II''
*[[Brezhoneg Tri]] ''beginner's course III''
*[[Brezhoneg Pevar]] ''beginner's course IV''
*[[Brezhoneg Pemp]] ''advanced course I''
*[[Brezhoneg C'hwec'h]] ''advanced course II''

==Chinese language department==
Resources, projects and courses currently being offered by the [[Portal:Chinese|Chinese department]]

''Note: there are also resources included as part of the department's main page''
*[[Mandarin/Mandarin One/Lesson One|Mandarin One]] 
*[[Cantonese/Conversational Cantonese One|Conversational Cantonese One]]

==Cornish language department==
Resources, projects and courses currently being offered by the [[Portal:Cornish|Cornish department]]
*[[Cornish|Cornish stream]]
*[[Kernowek Onen|Kernewek Onan]] ''part 1 of a course''
*[[Kernewek Dew]] ''part 2 of a course''

==French language department==
Resources, projects and courses currently being offered by the [[Portal:French|French department]]
*[[Portal:French/French stream|French stream]]
*[[La Littérature Française]]
*[[French/Mentoring|French mentoring project]]
*[[Learning the basics of French|Français I]]
*[[Français II]]
*[[La Littérature du 18e siècle]]

==German language department==
Resources, projects and courses currently being offered by the [[Portal:Learning German|German department]]
*[[German stream]]
*[[Basic German]] ''introduction to German''
*[[German I]]
*[[Deutsch|German exercises]]
*[[German Home Immersion School]]

==Hebrew Language Department==
Resources, projects and courses currently being offered by the [[Portal:Hebrew|Hebrew Department]]

==Italian language  department==
Resources, projects and courses currently being offered by the [[Portal:Italian|Italian department]]
*[[Italian literature]]

==Japanese language department==
Resources, projects and courses currently being offered by the [[Topic:Japanese|Japanese department]]
*[[Japanese stream]]
*[[Introduction to Japanese]]
*[[Beginner Japanese]]
**[[Japanese I/Vocabulary|Basic Japanese vocabulary]]
**[[Everyday Japanese phrases]]

==Klingon language department==
Resources, projects and courses currently being offered by the [[Portal:Klingon|Klingon department]]
*[[Klingon|Klingon course]]

==Korean language department==
Resources, projects and courses currently being offered by the [[Portal:Korean|Korean department]]
*[[Korean writing system]]
*[[Introduction to Korean|Introductory Korean]]

==Literary studies department==
Resources, projects and courses currently being offered by the [[Literary studies|Literary studies department]]
*[[Literary studies/Reading lists|Reading lists]]
*[[Web Writing|Web writing course]]
*[[Introduction to Creative Writing|Introduction to creative writing]]
*[[T. S. Eliot|T.S. Eliot]]
*[[Ethics/Nonkilling/Linguistics|Nonkilling linguistics]]

==Quechua language department==
Resources, projects and courses currently being offered by the [[Portal:Quechua|Quechua department]]
*[[Quechua stream]]
*[[Introduction to Quechua]] ''introductory course''
*[[Runa Simi 1]] ''beginner's course I''

==Southeast Asian language department==
Resources, projects and courses currently being offered by the [[Portal:Southeast Asian languages|Southeast Asian language department]]
*[[Southeast Asian Languages/Introduction|Introduction to Southeast Asian languages]]
*[[Vietnamese/Lesson series|Vietnamese 1]] ''beginner's course''
*[[Southeast Asian Languages/Philippine Languages/Filipino One|Filipino 1]] ''beginner's course''
*[[Southeast Asian Languages/Bahasa Indonesia|Bahasa Indonesia lessons]]
*[[Southeast Asian Languages/Philippine Languages/Bikol 1|Bikol 1]] ''beginner's course''

==Spanish language department==
Resources, projects and courses currently being offered by the [[Portal:Spanish|Spanish department]]
*[[Spanish 1|Spanish One]]
*[[Spanish 1]] ''different from'' Spanish One
*[[Spanish 2]]

==Tamil language department==
Resources, projects and courses currently being offered by the [[Portal:Tamil|Tamil department]]
*Foundation
**[[Tamil Language/Letters|Lesson 1]] - Vowels and Consonants
**[[Tamil Language/More Letters|Lesson 2]] - Vowel Consonant Combinations

==Tolkien Language Department==
Resources, projects and courses currently being offered by the [[Portal:Tolkien languages|Tolkien department]]
*[[Quenya|Quenya course]]
*[[Elvish stream]]

==Turkish language department==
Resources, projects and courses currently being offered by the [[Turkish|Turkish department]]
*[[Turkish/Basic words|Basic Turkish words]]
*[[Turkish/Numbers|Turkish numbers]]

==Writing center==
Resources, projects and courses currently being offered by the [[Portal:Writing Center|Writing center]]
*[[Literary composition|Composition help]]
*[[Rhetoric|Rhetoric help]]
*[[Creative writing|Creative writing help]]
*[[Technical writing|Technical writing help]]
*[[English Language Reference Desk]] ''a place to ask questions about grammar and the English language''
*[[Fiction writing support group]]</text>
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    <revision>
      <id>2804054</id>
      <parentid>2804053</parentid>
      <timestamp>2026-04-10T03:16:42Z</timestamp>
      <contributor>
        <username>CarlessParking</username>
        <id>3064444</id>
      </contributor>
      <comment>/* Southeast Asian languages department */</comment>
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      <model>wikitext</model>
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      <text bytes="6367" sha1="qdbkxocfm9annz149bnd996vq373xwa" xml:space="preserve">Welcome to the Language and Literature catalog of resources, projects and courses, listed by department. This does not include the external links listed on department pages. We will try to keep these up-to-date, but if you see that a resource is missing from our list, please add it below. You may also want to check out the [[School:Language and Literature/Library|School of Language and Literature library]].

The [[School:Language and Literature|School of Language and Literature]] currently contains the following projects, courses and resources listed by department. Departments are listed in alphabetical order.

Note: similar resources listed outside of the School of Language and Literature will not be listed here. Sorry for any inconvenience or confusion this may cause. 

==Arabic language department==
Resources, projects and courses currently being offered by the [[Portal:Arabic|Arabic department]]
*[[Portal:Arabic/Arabic stream|Arabic stream]]
*[[Elementary Arabic I]]

==Aymara language department==
Resources, projects and courses currently being offered by the [[Portal:Aymaran|Aymara department]]
*[[Aymaran stream]]
*[[Introduction to Aymaran]]

==Breton language department==
Resources, projects and courses currently being offered by the [[Portal:Breton|Breton department]]
*[[Breton|Introduction to Breton]] ''introductory course''
*[[Brezhoneg Unan]] ''beginner's course I''
*[[Brezhoneg Daoù]] ''beginner's course II''
*[[Brezhoneg Tri]] ''beginner's course III''
*[[Brezhoneg Pevar]] ''beginner's course IV''
*[[Brezhoneg Pemp]] ''advanced course I''
*[[Brezhoneg C'hwec'h]] ''advanced course II''

==Chinese language department==
Resources, projects and courses currently being offered by the [[Portal:Chinese|Chinese department]]

''Note: there are also resources included as part of the department's main page''
*[[Mandarin/Mandarin One/Lesson One|Mandarin One]] 
*[[Cantonese/Conversational Cantonese One|Conversational Cantonese One]]

==Cornish language department==
Resources, projects and courses currently being offered by the [[Portal:Cornish|Cornish department]]
*[[Cornish|Cornish stream]]
*[[Kernowek Onen|Kernewek Onan]] ''part 1 of a course''
*[[Kernewek Dew]] ''part 2 of a course''

==French language department==
Resources, projects and courses currently being offered by the [[Portal:French|French department]]
*[[Portal:French/French stream|French stream]]
*[[La Littérature Française]]
*[[French/Mentoring|French mentoring project]]
*[[Learning the basics of French|Français I]]
*[[Français II]]
*[[La Littérature du 18e siècle]]

==German language department==
Resources, projects and courses currently being offered by the [[Portal:Learning German|German department]]
*[[German stream]]
*[[Basic German]] ''introduction to German''
*[[German I]]
*[[Deutsch|German exercises]]
*[[German Home Immersion School]]

==Hebrew Language Department==
Resources, projects and courses currently being offered by the [[Portal:Hebrew|Hebrew Department]]

==Italian language  department==
Resources, projects and courses currently being offered by the [[Portal:Italian|Italian department]]
*[[Italian literature]]

==Japanese language department==
Resources, projects and courses currently being offered by the [[Topic:Japanese|Japanese department]]
*[[Japanese stream]]
*[[Introduction to Japanese]]
*[[Beginner Japanese]]
**[[Japanese I/Vocabulary|Basic Japanese vocabulary]]
**[[Everyday Japanese phrases]]

==Klingon language department==
Resources, projects and courses currently being offered by the [[Portal:Klingon|Klingon department]]
*[[Klingon|Klingon course]]

==Korean language department==
Resources, projects and courses currently being offered by the [[Portal:Korean|Korean department]]
*[[Korean writing system]]
*[[Introduction to Korean|Introductory Korean]]

==Literary studies department==
Resources, projects and courses currently being offered by the [[Literary studies|Literary studies department]]
*[[Literary studies/Reading lists|Reading lists]]
*[[Web Writing|Web writing course]]
*[[Introduction to Creative Writing|Introduction to creative writing]]
*[[T. S. Eliot|T.S. Eliot]]
*[[Ethics/Nonkilling/Linguistics|Nonkilling linguistics]]

==Quechua language department==
Resources, projects and courses currently being offered by the [[Portal:Quechua|Quechua department]]
*[[Quechua stream]]
*[[Introduction to Quechua]] ''introductory course''
*[[Runa Simi 1]] ''beginner's course I''

==Southeast Asian languages department==
Resources, projects and courses currently being offered by the [[Portal:Southeast Asian languages|Southeast Asian language department]]
*[[Southeast Asian Languages/Introduction|Introduction to Southeast Asian languages]]
*[[Vietnamese/Lesson series|Vietnamese 1]] ''beginner's course''
*[[Southeast Asian Languages/Philippine Languages/Filipino One|Filipino 1]] ''beginner's course''
*[[Southeast Asian Languages/Bahasa Indonesia|Bahasa Indonesia lessons]]
*[[Southeast Asian Languages/Philippine Languages/Bikol 1|Bikol 1]] ''beginner's course''

==Spanish language department==
Resources, projects and courses currently being offered by the [[Portal:Spanish|Spanish department]]
*[[Spanish 1|Spanish One]]
*[[Spanish 1]] ''different from'' Spanish One
*[[Spanish 2]]

==Tamil language department==
Resources, projects and courses currently being offered by the [[Portal:Tamil|Tamil department]]
*Foundation
**[[Tamil Language/Letters|Lesson 1]] - Vowels and Consonants
**[[Tamil Language/More Letters|Lesson 2]] - Vowel Consonant Combinations

==Tolkien Language Department==
Resources, projects and courses currently being offered by the [[Portal:Tolkien languages|Tolkien department]]
*[[Quenya|Quenya course]]
*[[Elvish stream]]

==Turkish language department==
Resources, projects and courses currently being offered by the [[Turkish|Turkish department]]
*[[Turkish/Basic words|Basic Turkish words]]
*[[Turkish/Numbers|Turkish numbers]]

==Writing center==
Resources, projects and courses currently being offered by the [[Portal:Writing Center|Writing center]]
*[[Literary composition|Composition help]]
*[[Rhetoric|Rhetoric help]]
*[[Creative writing|Creative writing help]]
*[[Technical writing|Technical writing help]]
*[[English Language Reference Desk]] ''a place to ask questions about grammar and the English language''
*[[Fiction writing support group]]</text>
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    </revision>
    <revision>
      <id>2804055</id>
      <parentid>2804054</parentid>
      <timestamp>2026-04-10T03:17:28Z</timestamp>
      <contributor>
        <username>CarlessParking</username>
        <id>3064444</id>
      </contributor>
      <comment>/* Southeast Asian languages department */</comment>
      <origin>2804055</origin>
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      <text bytes="6455" sha1="6sreep2r2rm4ln3jn6v9wk7b6qr1zz4" xml:space="preserve">Welcome to the Language and Literature catalog of resources, projects and courses, listed by department. This does not include the external links listed on department pages. We will try to keep these up-to-date, but if you see that a resource is missing from our list, please add it below. You may also want to check out the [[School:Language and Literature/Library|School of Language and Literature library]].

The [[School:Language and Literature|School of Language and Literature]] currently contains the following projects, courses and resources listed by department. Departments are listed in alphabetical order.

Note: similar resources listed outside of the School of Language and Literature will not be listed here. Sorry for any inconvenience or confusion this may cause. 

==Arabic language department==
Resources, projects and courses currently being offered by the [[Portal:Arabic|Arabic department]]
*[[Portal:Arabic/Arabic stream|Arabic stream]]
*[[Elementary Arabic I]]

==Aymara language department==
Resources, projects and courses currently being offered by the [[Portal:Aymaran|Aymara department]]
*[[Aymaran stream]]
*[[Introduction to Aymaran]]

==Breton language department==
Resources, projects and courses currently being offered by the [[Portal:Breton|Breton department]]
*[[Breton|Introduction to Breton]] ''introductory course''
*[[Brezhoneg Unan]] ''beginner's course I''
*[[Brezhoneg Daoù]] ''beginner's course II''
*[[Brezhoneg Tri]] ''beginner's course III''
*[[Brezhoneg Pevar]] ''beginner's course IV''
*[[Brezhoneg Pemp]] ''advanced course I''
*[[Brezhoneg C'hwec'h]] ''advanced course II''

==Chinese language department==
Resources, projects and courses currently being offered by the [[Portal:Chinese|Chinese department]]

''Note: there are also resources included as part of the department's main page''
*[[Mandarin/Mandarin One/Lesson One|Mandarin One]] 
*[[Cantonese/Conversational Cantonese One|Conversational Cantonese One]]

==Cornish language department==
Resources, projects and courses currently being offered by the [[Portal:Cornish|Cornish department]]
*[[Cornish|Cornish stream]]
*[[Kernowek Onen|Kernewek Onan]] ''part 1 of a course''
*[[Kernewek Dew]] ''part 2 of a course''

==French language department==
Resources, projects and courses currently being offered by the [[Portal:French|French department]]
*[[Portal:French/French stream|French stream]]
*[[La Littérature Française]]
*[[French/Mentoring|French mentoring project]]
*[[Learning the basics of French|Français I]]
*[[Français II]]
*[[La Littérature du 18e siècle]]

==German language department==
Resources, projects and courses currently being offered by the [[Portal:Learning German|German department]]
*[[German stream]]
*[[Basic German]] ''introduction to German''
*[[German I]]
*[[Deutsch|German exercises]]
*[[German Home Immersion School]]

==Hebrew Language Department==
Resources, projects and courses currently being offered by the [[Portal:Hebrew|Hebrew Department]]

==Italian language  department==
Resources, projects and courses currently being offered by the [[Portal:Italian|Italian department]]
*[[Italian literature]]

==Japanese language department==
Resources, projects and courses currently being offered by the [[Topic:Japanese|Japanese department]]
*[[Japanese stream]]
*[[Introduction to Japanese]]
*[[Beginner Japanese]]
**[[Japanese I/Vocabulary|Basic Japanese vocabulary]]
**[[Everyday Japanese phrases]]

==Klingon language department==
Resources, projects and courses currently being offered by the [[Portal:Klingon|Klingon department]]
*[[Klingon|Klingon course]]

==Korean language department==
Resources, projects and courses currently being offered by the [[Portal:Korean|Korean department]]
*[[Korean writing system]]
*[[Introduction to Korean|Introductory Korean]]

==Literary studies department==
Resources, projects and courses currently being offered by the [[Literary studies|Literary studies department]]
*[[Literary studies/Reading lists|Reading lists]]
*[[Web Writing|Web writing course]]
*[[Introduction to Creative Writing|Introduction to creative writing]]
*[[T. S. Eliot|T.S. Eliot]]
*[[Ethics/Nonkilling/Linguistics|Nonkilling linguistics]]

==Quechua language department==
Resources, projects and courses currently being offered by the [[Portal:Quechua|Quechua department]]
*[[Quechua stream]]
*[[Introduction to Quechua]] ''introductory course''
*[[Runa Simi 1]] ''beginner's course I''

==Southeast Asian languages department==
Resources, projects and courses currently being offered by the [[Portal:Southeast Asian languages|Southeast Asian language department]]
*[[Southeast Asian Languages/Introduction|Introduction to Southeast Asian languages]]
*[[Vietnamese/Lesson series|Vietnamese 1]] ''beginner's course''
*[[Southeast Asian Languages/Philippine Languages/Filipino One|Filipino 1]] ''beginner's course''
*[[Southeast Asian Languages/Bahasa Indonesia|Bahasa Indonesia lessons]]
*[[Southeast Asian Languages/Philippine Languages/Thai 1|Thai 1]] ''beginner's course''
*[[Southeast Asian Languages/Philippine Languages/Bikol 1|Bikol 1]] ''beginner's course''

==Spanish language department==
Resources, projects and courses currently being offered by the [[Portal:Spanish|Spanish department]]
*[[Spanish 1|Spanish One]]
*[[Spanish 1]] ''different from'' Spanish One
*[[Spanish 2]]

==Tamil language department==
Resources, projects and courses currently being offered by the [[Portal:Tamil|Tamil department]]
*Foundation
**[[Tamil Language/Letters|Lesson 1]] - Vowels and Consonants
**[[Tamil Language/More Letters|Lesson 2]] - Vowel Consonant Combinations

==Tolkien Language Department==
Resources, projects and courses currently being offered by the [[Portal:Tolkien languages|Tolkien department]]
*[[Quenya|Quenya course]]
*[[Elvish stream]]

==Turkish language department==
Resources, projects and courses currently being offered by the [[Turkish|Turkish department]]
*[[Turkish/Basic words|Basic Turkish words]]
*[[Turkish/Numbers|Turkish numbers]]

==Writing center==
Resources, projects and courses currently being offered by the [[Portal:Writing Center|Writing center]]
*[[Literary composition|Composition help]]
*[[Rhetoric|Rhetoric help]]
*[[Creative writing|Creative writing help]]
*[[Technical writing|Technical writing help]]
*[[English Language Reference Desk]] ''a place to ask questions about grammar and the English language''
*[[Fiction writing support group]]</text>
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      <id>2804056</id>
      <parentid>2804055</parentid>
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        <username>CarlessParking</username>
        <id>3064444</id>
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      <comment>/* Southeast Asian languages department */</comment>
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      <text bytes="6434" sha1="2mh7j85wxi6r7q4m0va92fi3zcop3g1" xml:space="preserve">Welcome to the Language and Literature catalog of resources, projects and courses, listed by department. This does not include the external links listed on department pages. We will try to keep these up-to-date, but if you see that a resource is missing from our list, please add it below. You may also want to check out the [[School:Language and Literature/Library|School of Language and Literature library]].

The [[School:Language and Literature|School of Language and Literature]] currently contains the following projects, courses and resources listed by department. Departments are listed in alphabetical order.

Note: similar resources listed outside of the School of Language and Literature will not be listed here. Sorry for any inconvenience or confusion this may cause. 

==Arabic language department==
Resources, projects and courses currently being offered by the [[Portal:Arabic|Arabic department]]
*[[Portal:Arabic/Arabic stream|Arabic stream]]
*[[Elementary Arabic I]]

==Aymara language department==
Resources, projects and courses currently being offered by the [[Portal:Aymaran|Aymara department]]
*[[Aymaran stream]]
*[[Introduction to Aymaran]]

==Breton language department==
Resources, projects and courses currently being offered by the [[Portal:Breton|Breton department]]
*[[Breton|Introduction to Breton]] ''introductory course''
*[[Brezhoneg Unan]] ''beginner's course I''
*[[Brezhoneg Daoù]] ''beginner's course II''
*[[Brezhoneg Tri]] ''beginner's course III''
*[[Brezhoneg Pevar]] ''beginner's course IV''
*[[Brezhoneg Pemp]] ''advanced course I''
*[[Brezhoneg C'hwec'h]] ''advanced course II''

==Chinese language department==
Resources, projects and courses currently being offered by the [[Portal:Chinese|Chinese department]]

''Note: there are also resources included as part of the department's main page''
*[[Mandarin/Mandarin One/Lesson One|Mandarin One]] 
*[[Cantonese/Conversational Cantonese One|Conversational Cantonese One]]

==Cornish language department==
Resources, projects and courses currently being offered by the [[Portal:Cornish|Cornish department]]
*[[Cornish|Cornish stream]]
*[[Kernowek Onen|Kernewek Onan]] ''part 1 of a course''
*[[Kernewek Dew]] ''part 2 of a course''

==French language department==
Resources, projects and courses currently being offered by the [[Portal:French|French department]]
*[[Portal:French/French stream|French stream]]
*[[La Littérature Française]]
*[[French/Mentoring|French mentoring project]]
*[[Learning the basics of French|Français I]]
*[[Français II]]
*[[La Littérature du 18e siècle]]

==German language department==
Resources, projects and courses currently being offered by the [[Portal:Learning German|German department]]
*[[German stream]]
*[[Basic German]] ''introduction to German''
*[[German I]]
*[[Deutsch|German exercises]]
*[[German Home Immersion School]]

==Hebrew Language Department==
Resources, projects and courses currently being offered by the [[Portal:Hebrew|Hebrew Department]]

==Italian language  department==
Resources, projects and courses currently being offered by the [[Portal:Italian|Italian department]]
*[[Italian literature]]

==Japanese language department==
Resources, projects and courses currently being offered by the [[Topic:Japanese|Japanese department]]
*[[Japanese stream]]
*[[Introduction to Japanese]]
*[[Beginner Japanese]]
**[[Japanese I/Vocabulary|Basic Japanese vocabulary]]
**[[Everyday Japanese phrases]]

==Klingon language department==
Resources, projects and courses currently being offered by the [[Portal:Klingon|Klingon department]]
*[[Klingon|Klingon course]]

==Korean language department==
Resources, projects and courses currently being offered by the [[Portal:Korean|Korean department]]
*[[Korean writing system]]
*[[Introduction to Korean|Introductory Korean]]

==Literary studies department==
Resources, projects and courses currently being offered by the [[Literary studies|Literary studies department]]
*[[Literary studies/Reading lists|Reading lists]]
*[[Web Writing|Web writing course]]
*[[Introduction to Creative Writing|Introduction to creative writing]]
*[[T. S. Eliot|T.S. Eliot]]
*[[Ethics/Nonkilling/Linguistics|Nonkilling linguistics]]

==Quechua language department==
Resources, projects and courses currently being offered by the [[Portal:Quechua|Quechua department]]
*[[Quechua stream]]
*[[Introduction to Quechua]] ''introductory course''
*[[Runa Simi 1]] ''beginner's course I''

==Southeast Asian languages department==
Resources, projects and courses currently being offered by the [[Portal:Southeast Asian languages|Southeast Asian language department]]
*[[Southeast Asian Languages/Introduction|Introduction to Southeast Asian languages]]
*[[Vietnamese/Lesson series|Vietnamese 1]] ''beginner's course''
*[[Southeast Asian Languages/Philippine Languages/Filipino One|Filipino 1]] ''beginner's course''
*[[Southeast Asian Languages/Bahasa Indonesia|Bahasa Indonesia lessons]]
*[[Southeast Asian Languages/Thai 1|Thai 1]] ''beginner's course''
*[[Southeast Asian Languages/Philippine Languages/Bikol 1|Bikol 1]] ''beginner's course''

==Spanish language department==
Resources, projects and courses currently being offered by the [[Portal:Spanish|Spanish department]]
*[[Spanish 1|Spanish One]]
*[[Spanish 1]] ''different from'' Spanish One
*[[Spanish 2]]

==Tamil language department==
Resources, projects and courses currently being offered by the [[Portal:Tamil|Tamil department]]
*Foundation
**[[Tamil Language/Letters|Lesson 1]] - Vowels and Consonants
**[[Tamil Language/More Letters|Lesson 2]] - Vowel Consonant Combinations

==Tolkien Language Department==
Resources, projects and courses currently being offered by the [[Portal:Tolkien languages|Tolkien department]]
*[[Quenya|Quenya course]]
*[[Elvish stream]]

==Turkish language department==
Resources, projects and courses currently being offered by the [[Turkish|Turkish department]]
*[[Turkish/Basic words|Basic Turkish words]]
*[[Turkish/Numbers|Turkish numbers]]

==Writing center==
Resources, projects and courses currently being offered by the [[Portal:Writing Center|Writing center]]
*[[Literary composition|Composition help]]
*[[Rhetoric|Rhetoric help]]
*[[Creative writing|Creative writing help]]
*[[Technical writing|Technical writing help]]
*[[English Language Reference Desk]] ''a place to ask questions about grammar and the English language''
*[[Fiction writing support group]]</text>
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        <username>CarlessParking</username>
        <id>3064444</id>
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      <comment>/* Southeast Asian languages department */</comment>
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      <text bytes="6432" sha1="jhyd2qpy8inavczn31nacu8fjoqberd" xml:space="preserve">Welcome to the Language and Literature catalog of resources, projects and courses, listed by department. This does not include the external links listed on department pages. We will try to keep these up-to-date, but if you see that a resource is missing from our list, please add it below. You may also want to check out the [[School:Language and Literature/Library|School of Language and Literature library]].

The [[School:Language and Literature|School of Language and Literature]] currently contains the following projects, courses and resources listed by department. Departments are listed in alphabetical order.

Note: similar resources listed outside of the School of Language and Literature will not be listed here. Sorry for any inconvenience or confusion this may cause. 

==Arabic language department==
Resources, projects and courses currently being offered by the [[Portal:Arabic|Arabic department]]
*[[Portal:Arabic/Arabic stream|Arabic stream]]
*[[Elementary Arabic I]]

==Aymara language department==
Resources, projects and courses currently being offered by the [[Portal:Aymaran|Aymara department]]
*[[Aymaran stream]]
*[[Introduction to Aymaran]]

==Breton language department==
Resources, projects and courses currently being offered by the [[Portal:Breton|Breton department]]
*[[Breton|Introduction to Breton]] ''introductory course''
*[[Brezhoneg Unan]] ''beginner's course I''
*[[Brezhoneg Daoù]] ''beginner's course II''
*[[Brezhoneg Tri]] ''beginner's course III''
*[[Brezhoneg Pevar]] ''beginner's course IV''
*[[Brezhoneg Pemp]] ''advanced course I''
*[[Brezhoneg C'hwec'h]] ''advanced course II''

==Chinese language department==
Resources, projects and courses currently being offered by the [[Portal:Chinese|Chinese department]]

''Note: there are also resources included as part of the department's main page''
*[[Mandarin/Mandarin One/Lesson One|Mandarin One]] 
*[[Cantonese/Conversational Cantonese One|Conversational Cantonese One]]

==Cornish language department==
Resources, projects and courses currently being offered by the [[Portal:Cornish|Cornish department]]
*[[Cornish|Cornish stream]]
*[[Kernowek Onen|Kernewek Onan]] ''part 1 of a course''
*[[Kernewek Dew]] ''part 2 of a course''

==French language department==
Resources, projects and courses currently being offered by the [[Portal:French|French department]]
*[[Portal:French/French stream|French stream]]
*[[La Littérature Française]]
*[[French/Mentoring|French mentoring project]]
*[[Learning the basics of French|Français I]]
*[[Français II]]
*[[La Littérature du 18e siècle]]

==German language department==
Resources, projects and courses currently being offered by the [[Portal:Learning German|German department]]
*[[German stream]]
*[[Basic German]] ''introduction to German''
*[[German I]]
*[[Deutsch|German exercises]]
*[[German Home Immersion School]]

==Hebrew Language Department==
Resources, projects and courses currently being offered by the [[Portal:Hebrew|Hebrew Department]]

==Italian language  department==
Resources, projects and courses currently being offered by the [[Portal:Italian|Italian department]]
*[[Italian literature]]

==Japanese language department==
Resources, projects and courses currently being offered by the [[Topic:Japanese|Japanese department]]
*[[Japanese stream]]
*[[Introduction to Japanese]]
*[[Beginner Japanese]]
**[[Japanese I/Vocabulary|Basic Japanese vocabulary]]
**[[Everyday Japanese phrases]]

==Klingon language department==
Resources, projects and courses currently being offered by the [[Portal:Klingon|Klingon department]]
*[[Klingon|Klingon course]]

==Korean language department==
Resources, projects and courses currently being offered by the [[Portal:Korean|Korean department]]
*[[Korean writing system]]
*[[Introduction to Korean|Introductory Korean]]

==Literary studies department==
Resources, projects and courses currently being offered by the [[Literary studies|Literary studies department]]
*[[Literary studies/Reading lists|Reading lists]]
*[[Web Writing|Web writing course]]
*[[Introduction to Creative Writing|Introduction to creative writing]]
*[[T. S. Eliot|T.S. Eliot]]
*[[Ethics/Nonkilling/Linguistics|Nonkilling linguistics]]

==Quechua language department==
Resources, projects and courses currently being offered by the [[Portal:Quechua|Quechua department]]
*[[Quechua stream]]
*[[Introduction to Quechua]] ''introductory course''
*[[Runa Simi 1]] ''beginner's course I''

==Southeast Asian languages department==
Resources, projects and courses currently being offered by the [[Portal:Southeast Asian languages|Southeast Asian language department]]
*[[Southeast Asian Languages/Introduction|Introduction to Southeast Asian languages]]
*[[Vietnamese/Lesson series|Vietnamese 1]] ''beginner's course''
*[[Southeast Asian Languages/Philippine Languages/Filipino One|Filipino 1]] ''beginner's course''
*[[Southeast Asian Languages/Bahasa Indonesia|Bahasa Indonesia lessons]]
*[[Southeast Asian Languages/Thai|Thai 1]] ''beginner's course''
*[[Southeast Asian Languages/Philippine Languages/Bikol 1|Bikol 1]] ''beginner's course''

==Spanish language department==
Resources, projects and courses currently being offered by the [[Portal:Spanish|Spanish department]]
*[[Spanish 1|Spanish One]]
*[[Spanish 1]] ''different from'' Spanish One
*[[Spanish 2]]

==Tamil language department==
Resources, projects and courses currently being offered by the [[Portal:Tamil|Tamil department]]
*Foundation
**[[Tamil Language/Letters|Lesson 1]] - Vowels and Consonants
**[[Tamil Language/More Letters|Lesson 2]] - Vowel Consonant Combinations

==Tolkien Language Department==
Resources, projects and courses currently being offered by the [[Portal:Tolkien languages|Tolkien department]]
*[[Quenya|Quenya course]]
*[[Elvish stream]]

==Turkish language department==
Resources, projects and courses currently being offered by the [[Turkish|Turkish department]]
*[[Turkish/Basic words|Basic Turkish words]]
*[[Turkish/Numbers|Turkish numbers]]

==Writing center==
Resources, projects and courses currently being offered by the [[Portal:Writing Center|Writing center]]
*[[Literary composition|Composition help]]
*[[Rhetoric|Rhetoric help]]
*[[Creative writing|Creative writing help]]
*[[Technical writing|Technical writing help]]
*[[English Language Reference Desk]] ''a place to ask questions about grammar and the English language''
*[[Fiction writing support group]]</text>
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  </page>
  <page>
    <title>Portal:Translation</title>
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      <text bytes="19681" sha1="gzyqailz4vkq579leq3pbmohdym56fd" xml:space="preserve">[[Portal:Translation|Translation Department]] • &lt;small&gt;[[Portal:Multilingual Studies|Wikiversity Institute for Multilingual Studies]]&lt;/small&gt;
==Subdivision news==
* '''23 October 2006''' - Subdivision founded!
* '''29 November 2006''' - Setting up at [http://beta.wikiversity.org/wiki/Translation beta.wikiversity]
* ...

== Learning Groups ==
See [[Portal:Multilingual Studies|Topic:Multilingual Studies]] for a more in-depth listing for Learning groups and topics within the larger [[Multilingual worksheet|Multilingulism Practicum]]. This is just a rough outline:

[[School:Language and Literature]]:
*[[Portal:Foreign Language Learning|Topic:Foreign Language Learning]]
* ...

[[School:Linguistics]]:
*[[Topic:History of Linguistics|History of Linguistics]]
*[[Portal:English Language|Topic:English Language]]
*...

[[School:Media studies|School:Media Studies]]
*[[Wikiversity the Movie]]
*[[Wikiversity the Movie/Multi-lingual|Wikiversity the Movie/multi-lingual]]
*...

[[School:Computer Science]]
*[[Portal:Computational linguistics|Topic:Computational linguistics]]
*[[Computer-assisted translation]]
*...

== Learning materials ==
[[Wikiversity:Translator's Handbook]].
* Introduction ''See [[Wikiversity:Essay Contest]]''
* [[Portal:Languages|Languages]] ''Will discuss [[:Category:Languages and Language families]] in detail covering''
* [[Topic:Linguistics]]
* [[Portal:Computational linguistics|Topic:Lexicography]]
* [[Portal:Translation|Appendix]]
== Multilingualism at Wikiversity ==
[[Wikiversity:Multilingualism]] will be a centralized local resource for the English version of Wikiversity (en.wikiversity.org) ''about'' other versions of Wikiversity and beta projects.

[[Wikiversity translations]]:
*[[Wikiversity:Main Page|English]]
*[[:de:Hauptseite]] [http://de.wikiversity.org Hauptseite]
*[[:es:Portada]] [http://es.wikiversity.org Portada]

Links to betas:
*...
== Wikiversity Translators ==
{{tl|translator}} @{{tl|translators}} ...

{{translator}}
&lt;br&gt;&lt;br&gt;
{{translators}}

[[:Category:Wikiversity Translators]]

{{construct}}

== Wikimedia Service community ==
The following sections cover translation-related topics and list [[Wikiversity:Service|Translation services]] by and for the Wikimedia-Wikiversity [[Wikiversity:Service community]].
=== Meta ===
[[m:Main Page|Meta]] has a cornucopia of resources for translators!

[[m:Multilingualism]]:
*[[m:Translators]]
*[[m:Translation process]]
*[[m:Interlingual coordination]]
*[[m:Meta:Conventions for multilingualism]]
*[[m:Wikipedia Machine Translation Project]]
*...

[[m:Category:Multilingualism]]
*[[m:Category:Transbabel]]
*[[m:Category:Translator's Templates]]
*...

&lt;small&gt;Note: We have adapted the meta Tranlator's Templates and are working on an adaptation of the [[Transbabel Multilingual Schema]] here at [[Wikiversity:Templates#Translation]] See [[Template:Translators]].&lt;/small&gt;

=== Wikipedia ===
[[w:Main Page|Wikipedia]]
==== Articles ====
'''[[w:Meaning (linguistics)|Meanings]]:''' [[w:grammar|grammar]], [[w:semantics|semantics]], [[w:syntax|syntax]], [[w:idiom|idiom]], [[w:word|word]], [[w:phrase|phrase]], [[w:sentance|sentance]], [[w:source text|source text]], [[w:source language|source language]], [[w:target language|target language]], ...

'''[[w:Language|Language]]:''' [[w:Natural language|Natural language]], [[w:Language family|Language family]], [[w:Linguistic typology|Linguistic typology]], [[w:Writing systems|Writing systems]], [[w:List of languages|List of languages]], [[w:List of official languages|List of official languages]], [[w:List of common phrases in various languages|List of common phrases in various languages]], ...

'''[[w:Linguistics|Linguistics]]:''' [[w:Morphology (linguistics)|Morphology]], [[w:Etymology|Etymology]], [[w:Corpus linguistics|Corpus linguistics]], [[w:Text corpus|Text corpus]], [[w:Cognitive linguistics|Cognitive linguistics]], [[w:Computational linguistics|Computational linguistics]], [[w:Machine translation|Machine translation]], [[w:Speech recognition|Speech recognition]], [[w:Language recognition chart|Language recognition chart]], [[w:Part-of-speech tagging|Part-of-speech tagging]], ...

'''[[w:Translation|Translation]]:''' [[w:translation dictionary|translation dictionary]], [[w:Translation process|Translation process]], [[w:Translation studies|Translation studies]], [[w:Translation unit|Translation unit]], [[w:Computer-assisted translation|Computer-assisted translation]], [[w:Machine translation|Machine translation]], ...

==== Projects ====
'''[[w:Wikipedia:Wikipedia Embassy|Wikipedia Embassy]]:'''
*[[w:Wikipedia:Multilingual coordination|Wikipedia:Multilingual coordination]]
*[[w:Wikipedia:Wikipedians]]
*[[w:Wikipedia:Interwikimedia link]]
*[[w:Wikipedia:Interlanguage links]]
*...

'''[[w:Wikipedia:WikiProject Linguistics|Wikipedia:WikiProject Linguistics]]:'''
*[[w:Wikipedia:WikiProject Languages|WikiProject Languages]]
*[[w:Wikipedia:WikiProject Language families|WikiProject Language families]]
*[[w:Wikipedia:WikiProject Writing systems|WikiProject Writing systems]]
*[[w:Wikipedia:WikiProject Latin alphabet|WikiProject Latin alphabet]]
*[[w:Wikipedia:WikiProject Phonetics|WikiProject Phonetics]]
*[[w:Wikipedia:WikiProject Constructed languages|WikiProject Constructed languages]]
*[[w:Wikipedia:WikiProject Theoretical Linguistics|WikiProject Theoretical Linguistics]]

'''[[w:Wikipedia:WikiProject Computer science|Wikipedia:WikiProject Computer science]]'''

==== Languages ====
List of Wikipedias in other languages:

#[http://ab.wikipedia.org &lt;span lang=&quot;ab-Cyrl&quot;&gt;аҧсуа бысжѡа&lt;/span&gt; (Abkhazian)]
#[http://af.wikipedia.org Afrikaans]
#[http://als.wikipedia.org Alemannisch (Alemannic)]
#[http://am.wikipedia.org &lt;span lang=&quot;am&quot; dir=&quot;rtl&quot;&gt;አማርኛ&lt;/span&gt; (Amharic)]
#[http://ar.wikipedia.org &lt;span lang=&quot;ar&quot; dir=&quot;rtl&quot;&gt;‫العربية‬&lt;/span&gt; (Arabic)]
#[http://an.wikipedia.org Aragonés (Aragonese)]
#[http://roa-rup.wikipedia.org Armâneashti (Aromanian)]
#[http://as.wikipedia.org &lt;span lang=&quot;as&quot;&gt;অসমীয়া&lt;/span&gt;&amp;nbsp;/ &lt;span lang=&quot;as-Latn&quot;&gt;Asami&lt;/span&gt; (Assamese)]
#[http://arc.wikipedia.org &lt;span lang=&quot;arc&quot;&gt;ܣܘܪܬ&lt;/span&gt; (Assyrian Neo-Aramaic)]
#[http://ast.wikipedia.org Asturianu (Asturian)]
#[http://gn.wikipedia.org Avañe'ẽ (Guarani)]
#[http://av.wikipedia.org Авар (Avar)]
#[http://ay.wikipedia.org Aymar (Aymara)]
#[http://az.wikipedia.org &lt;span lang=&quot;az&quot;&gt;Azərbaycan dili&lt;/span&gt;&amp;nbsp;/ &lt;span lang=&quot;az-Arab&quot; dir=&quot;rtl&quot;&gt;آذربايجان ديلی&lt;/span&gt; (Azerbaijani)]
#[http://id.wikipedia.org Bahasa Indonesia (Indonesian)]
#[http://ms.wikipedia.org Bahasa Melayu (Malay)]
#[http://bm.wikipedia.org Bamanankan (Bambara)]
#[http://bn.wikipedia.org &lt;span lang=&quot;bn&quot;&gt;বাংলা&lt;/span&gt; (Bengali)]
#[http://zh-min-nan.wikipedia.org Bân-lâm-gú (Southern Min)]
#[http://jv.wikipedia.org Basa Jawa (Javanese)]
#[http://map-bms.wikipedia.org Basa Banyumasan (Banyumasan)]
#[http://su.wikipedia.org Basa Sunda (Sundanese)]
#[http://ba.wikipedia.org &lt;span lang=&quot;ba&quot;&gt;Башҡорт&lt;/span&gt; (Bashkir)]
#[http://be.wikipedia.org &lt;span lang=&quot;be&quot;&gt;Беларуская&lt;/span&gt; (Belarusian)]
#[http://bh.wikipedia.org &lt;span lang=&quot;bh&quot;&gt;भोजपुरी&lt;/span&gt; (Bihari)]
#[http://mt.wikipedia.org bil-Malti (Maltese)]
#[http://bi.wikipedia.org Bislama]
#[http://bo.wikipedia.org &lt;span lang=&quot;bo&quot;&gt;བོད་ཡིག&lt;/span&gt;&amp;nbsp;/ &lt;span lang=&quot;bo-Latn&quot;&gt;Bod skad&lt;/span&gt; (Tibetan)]
#[http://bs.wikipedia.org Bosanski (Bosnian)]
#[http://br.wikipedia.org Brezhoneg (Breton)]
#[http://bug.wikipedia.org Basa Ugi (Buginese)]
#[http://bg.wikipedia.org &lt;span lang=&quot;bg-Cyrl&quot;&gt;Български&lt;/span&gt; (Bulgarian)]
#[http://ca.wikipedia.org Català (Catalan)]
#[http://bcl.wikipedia.org Central Bikol]
#[http://cbk-zam.wikipedia.org Chavacano (Chavacano de Zamboanga)]
#[http://cho.wikipedia.org Cahta (Choctaw)]
#[http://ch.wikipedia.org Chamorru (Chamorro)]
#[http://cv.wikipedia.org &lt;span lang=&quot;cv&quot;&gt;Чӑваш&lt;/span&gt; (Chuvash)]
#[http://cs.wikipedia.org Čeština (Czech)]
#[http://ny.wikipedia.org chiChewa]
#[http://sn.wikipedia.org chiShona (Shona)]
#[http://tum.wikipedia.org chiTumbuka (Tumbuka)]
#[http://ve.wikipedia.org Chivenda (Venda)]
#[http://co.wikipedia.org Corsu (Corsican)]
#[http://za.wikipedia.org Cuengh (Zhuang)]
#[http://cy.wikipedia.org Cymraeg (Welsh)]
#[http://da.wikipedia.org Dansk (Danish)]
#[http://pdc.wikipedia.org Deitsch (Pennsylvania German)]
#[http://de.wikipedia.org Deutsch (German)]
#[http://nv.wikipedia.org Diné bizaad (Navajo)]
#[http://dv.wikipedia.org &lt;span lang=&quot;dv&quot; dir=&quot;rtl&quot;&gt;ދިވެހި&lt;/span&gt; (Divehi)]
#[http://na.wikipedia.org dorerin Naoero (Nauruan)]
#[http://dz.wikipedia.org &lt;span lang=&quot;dz&quot;&gt;ཇོང་ཁ&lt;/span&gt; (Dzongkha)]
#[http://lad.wikipedia.org Dzhudezmo (Ladino)]
#[http://et.wikipedia.org Eesti (Estonian)]
#[http://el.wikipedia.org &lt;span lang=&quot;el&quot;&gt;Ελληνικά&lt;/span&gt; (Greek)]
#[http://ang.wikipedia.org Englisc (Anglo-Saxon)]
#[http://en.wikipedia.org English]
#[http://es.wikipedia.org Español (Spanish)]
#[http://eo.wikipedia.org Esperanto]
#[http://eu.wikipedia.org Euskara (Basque)]
#[http://to.wikipedia.org Faka Tonga (Tongan)]
#[http://fa.wikipedia.org &lt;span lang=&quot;fa&quot; dir=&quot;rtl&quot;&gt;‫فارسی‬&lt;/span&gt; (Persian)]
#[http://fo.wikipedia.org Føroyskt (Faroese)]
#[http://fr.wikipedia.org Français (French)]
#[http://frp.wikipedia.org Franco-provençal (Arpitan)]
#[http://fy.wikipedia.org Frysk (West Frisian)]
#[http://ff.wikipedia.org Fulfulde (Peul)]
#[http://fur.wikipedia.org Furlan (Friulian)]
#[http://ga.wikipedia.org Gaeilge (Irish)]
#[http://gv.wikipedia.org Gaelg (Manx)]
#[http://sm.wikipedia.org Gagana Samoa (Samoan)]
#[http://gd.wikipedia.org Gàidhlig (Scots Gaelic)]
#[http://gl.wikipedia.org Galego (Galician)]
#[http://gu.wikipedia.org &lt;span lang=&quot;gu&quot;&gt;ગુજરાતી&lt;/span&gt; (Gujarati)]
#[http://got.wikipedia.org Gutisk (Gothic)]
#[http://ko.wikipedia.org &lt;span lang=&quot;ko&quot;&gt;한국어&lt;/span&gt; (Korean)]
#[http://ha.wikipedia.org &lt;span lang=&quot;ha&quot; dir=&quot;rtl&quot;&gt;هَوُسَ&lt;/span&gt; (Hausa)]
#[http://haw.wikipedia.org Hawai`i (Hawaiian)]
#[http://hy.wikipedia.org &lt;span lang=&quot;hy&quot;&gt;Հայերեն&lt;/span&gt; (Armenian)]
#[http://hi.wikipedia.org &lt;span lang=&quot;hi&quot;&gt;हिन्दी&lt;/span&gt; (Hindi)]
#[http://ho.wikipedia.org Hiri Motu]
#[http://hr.wikipedia.org Hrvatski (Croatian)]
#[http://io.wikipedia.org Ido]
#[http://ilo.wikipedia.org Ilokano]
#[http://ig.wikipedia.org Igbo]
#[http://ia.wikipedia.org Interlingua]
#[http://ie.wikipedia.org Interlingue (ex Occidental)]
#[http://iu.wikipedia.org &lt;span lang=&quot;iu&quot;&gt;ᐃᓄᒃᑎᑐᑦ&lt;/span&gt; (Inuktitut)]
#[http://ik.wikipedia.org Iñupiak (Inupiak)]
#[http://os.wikipedia.org &lt;span lang=&quot;os&quot;&gt;Иронау&lt;/span&gt; (Ossetian)]
#[http://xh.wikipedia.org isiXhosa (Xhosa)]
#[http://zu.wikipedia.org isiZulu (Zulu)]
#[http://is.wikipedia.org Íslenska (Icelandic)]
#[http://it.wikipedia.org Italiano (Italian)]
#[http://he.wikipedia.org &lt;span lang=&quot;he&quot; dir=&quot;rtl&quot;&gt;‫עברית‬&lt;/span&gt; (Hebrew)]
#[http://mh.wikipedia.org Kajin Majel (Marshallese)]
#[http://kl.wikipedia.org Kalaallisut (Greenlandic)]
#[http://xal.wikipedia.org &lt;span lang=&quot;xal&quot;&gt;Хальмг&lt;/span&gt; (Kalmyk)]
#[http://kn.wikipedia.org &lt;span lang=&quot;kn&quot;&gt;ಕನ್ನಡ&lt;/span&gt; (Kannada)]
#[http://kr.wikipedia.org Kanuri]
#[http://pam.wikipedia.org Kapampangan]
#[http://ka.wikipedia.org &lt;span lang=&quot;ka&quot;&gt;ქართული&lt;/span&gt; (Georgian)]
#[http://ks.wikipedia.org &lt;span lang=&quot;ks&quot;&gt;कश्मीरी&lt;/span&gt;&amp;nbsp;/ &lt;span lang=&quot;ks-Arab&quot; dir=&quot;rtl&quot;&gt;كشميري&lt;/span&gt; (Kashmiri)]
#[http://csb.wikipedia.org Kaszëbsczi (Kashubian)]
#[http://kk.wikipedia.org &lt;span lang=&quot;kk&quot;&gt;Қазақша&lt;/span&gt; (Kazakh)]
#[http://kw.wikipedia.org Kernewek&amp;nbsp;/ Karnuack (Cornish)]
#[http://kg.wikipedia.org Kikongo (Kongo)]
#[http://ki.wikipedia.org Kikuyu]
#[http://rw.wikipedia.org Kinyarwandi (Rwandi)]
#[http://ky.wikipedia.org &lt;span lang=&quot;ky-Latn&quot;&gt;Kırgızca&lt;/span&gt;&amp;nbsp;/ &lt;span lang=&quot;ky-Cyrl&quot;&gt;Кыргызча&lt;/span&gt; (Kyrgyz)]
#[http://rn.wikipedia.org Kirundi]
#[http://sw.wikipedia.org Kiswahili (Swahili)]
#[http://km.wikipedia.org &lt;span lang=&quot;km&quot;&gt;ភាសាខ្មែរ&lt;/span&gt; (Khmer)]
#[http://kv.wikipedia.org &lt;span lang=&quot;kv&quot;&gt;Коми&lt;/span&gt; (Komi)]
#[http://ht.wikipedia.org Kreyol ayisyen (Haitian)]
#[http://kj.wikipedia.org Kuanyama]
#[http://ku.wikipedia.org &lt;span lang=&quot;ku&quot;&gt;Kurdî&amp;nbsp;&lt;/span&gt;/ &lt;span lang=&quot;ku-Arab&quot; dir=&quot;rtl&quot;&gt;كوردی&lt;/span&gt; (Kurdish)]
#[http://ksh.wikipedia.org Ripoarisch (Ripuarian)]
#[http://lo.wikipedia.org &lt;span lang=&quot;lo&quot;&gt;ພາສາລາວ&lt;/span&gt; (Laotian)]
#[http://la.wikipedia.org Latina (Latin)]
#[http://lv.wikipedia.org Latviešu (Latvian)]
#[http://lb.wikipedia.org Lëtzebuergesch (Luxembourgish)]
#[http://lt.wikipedia.org Lietuvių (Lithuanian)]
#[http://lij.wikipedia.org Líguru (Ligurian)]
#[http://li.wikipedia.org Limburgs (Limburgish)]
#[http://ln.wikipedia.org Lingála]
#[http://jbo.wikipedia.org Lojban]
#[http://lg.wikipedia.org Luganda]
#[http://lmo.wikipedia.org Lumbaart (Lombard)]
#[http://hu.wikipedia.org Magyar (Hungarian)]
#[http://mk.wikipedia.org &lt;span lang=&quot;mk&quot;&gt;Македонски&lt;/span&gt; (Macedonian)]
#[http://mg.wikipedia.org Malagasy]
#[http://ml.wikipedia.org &lt;span lang=&quot;ml&quot;&gt;മലയാളം&lt;/span&gt; (Malayalam)]
#[http://mi.wikipedia.org Māori]
#[http://mr.wikipedia.org &lt;span lang=&quot;mr&quot;&gt;मराठी&lt;/span&gt; (Marathi)]
#[http://mo.wikipedia.org &lt;span lang=&quot;mo&quot;&gt;Молдовеняскэ&lt;/span&gt; (Moldovan)]
#[http://mn.wikipedia.org &lt;span lang=&quot;mn&quot;&gt;Монгол&lt;/span&gt; (Mongolian)]
#[http://mus.wikipedia.org Mvskoke (Creek)]
#[http://my.wikipedia.org Myanmasa (Burmese)]
#[http://nah.wikipedia.org Nāhuatl]
#[http://fj.wikipedia.org Na Vosa Vakaviti (Fijian)]
#[http://nl.wikipedia.org Nederlands (Dutch)]
#[http://cr.wikipedia.org Nehiyaw (Cree)]
#[http://ne.wikipedia.org &lt;span lang=&quot;ne&quot;&gt;नेपाली&lt;/span&gt; (Nepali)]
#[http://ja.wikipedia.org &lt;span lang=&quot;ja&quot;&gt;日本語&lt;/span&gt; (Japanese)]
#[http://nap.wikipedia.org Nnapulitano (Neapolitan)]
#[http://ce.wikipedia.org &lt;span lang=&quot;ce&quot;&gt;Нохчийн&lt;/span&gt; (Chechen)]
#[http://nrm.wikipedia.org Nouormand&amp;nbsp;/ Normaund (Norman)]
#[http://pih.wikipedia.org Norfuk (Norfolk)]
#[http://no.wikipedia.org Norsk bokmål (Norwegian Bokmål)]
#[http://nn.wikipedia.org Norsk nynorsk (Norwegian Nynorsk)]
#[http://oc.wikipedia.org Occitan]
#[http://or.wikipedia.org &lt;span lang=&quot;or&quot;&gt;ଓଡ଼ିଆ&lt;/span&gt; (Oriya)]
#[http://om.wikipedia.org Oromifaa (Oromo)]
#[http://ng.wikipedia.org Oshiwambo (Ndonga)]
#[http://hz.wikipedia.org Otsiherero (Herero)]
#[http://pa.wikipedia.org &lt;span lang=&quot;pa&quot;&gt;ਪਜਾਬੀ&lt;/span&gt;&amp;nbsp;/ &lt;span lang=&quot;pa&quot;&gt;पंजाबी&lt;/span&gt;&amp;nbsp;/ &lt;span lang=&quot;pa-Arab&quot; dir=&quot;rtl&quot;&gt;پنجابي&lt;/span&gt; (Punjabi)]
#[http://pag.wikipedia.org Pangasinan (Pangasinan)]
#[http://pi.wikipedia.org &lt;span lang=&quot;pi-Latn&quot;&gt;Pāli&amp;nbsp;&lt;/span&gt;/ &lt;span lang=&quot;pi-Deva&quot;&gt;पाऴि&lt;/span&gt;]
#[http://pap.wikipedia.org Papiamentu]
#[http://ps.wikipedia.org &lt;span lang=&quot;ps&quot; dir=&quot;rtl&quot;&gt;پښتو&lt;/span&gt; (Pashto)]
#[http://nds.wikipedia.org Plattdüütsch (Low Saxon)]
#[http://pms.wikipedia.org Piemontèis (Piedmontese)]
#[http://pl.wikipedia.org Polski (Polish)]
#[http://pt.wikipedia.org Português (Portuguese)]
#[http://ty.wikipedia.org Reo Mā`ohi (Tahitian)]
#[http://ro.wikipedia.org Română (Romanian)]
#[http://rm.wikipedia.org Rumantsch (Romansh)]
#[http://rmy.wikipedia.org &lt;span lang=&quot;rmy&quot;&gt;Romani&lt;/span&gt;&amp;nbsp;/ &lt;span lang=&quot;rmy-Deva&quot;&gt;रोमानी&lt;/span&gt;]	
#[http://qu.wikipedia.org Runa Simi (Quechua)]
#[http://ru.wikipedia.org Русский (Russian)]
#[http://se.wikipedia.org Sámegiella (Northern Sami)]
#[http://sg.wikipedia.org Sängö]
#[http://sa.wikipedia.org &lt;span lang=&quot;sa&quot;&gt;संस्कृत&lt;/span&gt; (Sanskrit)]
#[http://sc.wikipedia.org Sardu (Sardinian)]
#[http://sco.wikipedia.org Scots]
#[http://st.wikipedia.org seSotho (Southern Sotho)]
#[http://tn.wikipedia.org Setswana (Tswana)]
#[http://sq.wikipedia.org Shqip (Albanian)]
#[http://ru-sib.wikipedia.org Siberian (Сибирской)]
#[http://scn.wikipedia.org Sicilianu (Sicilian)]
#[http://si.wikipedia.org &lt;span lang=&quot;si&quot;&gt;සිංහල&lt;/span&gt; (Sinhalese)]
#[http://simple.wikipedia.org Simple English]
#[http://sd.wikipedia.org &lt;span lang=&quot;sd&quot;&gt;سنڌي&lt;/span&gt; (Sindhi)]
#[http://ceb.wikipedia.org Sinugboanong Binisaya (Cebuano)]
#[http://ss.wikipedia.org SiSwati (Swati)]
#[http://sk.wikipedia.org Slovenčina (Slovak)]
#[http://sl.wikipedia.org Slovenščina (Slovenian)]
#[http://so.wikipedia.org Soomaaliga (Somali)]
#[http://sr.wikipedia.org Српски (Serbian)]
#[http://sh.wikipedia.org &lt;span lang=&quot;sh-Latn&quot;&gt;Srpskohrvatski&lt;/span&gt;&amp;nbsp;/ &lt;span lang=&quot;sh-Cyrl&quot;&gt;Српскохрватски&lt;/span&gt; (Serbo-Croatian)]
#[http://fi.wikipedia.org Suomi (Finnish)]
#[http://sv.wikipedia.org Svenska (Swedish)]
#[http://tl.wikipia.org Tagalog]
#[http://ta.wikipedia.org &lt;span lang=&quot;ta&quot;&gt;தமிழ்&lt;/span&gt; (Tamil)]
#[http://tt.wikipedia.org Tatarça (Tatar)]
#[http://te.wikipedia.org &lt;span lang=&quot;te&quot;&gt;తెలుగు&lt;/span&gt; (Telugu)]
#[http://tet.wikipedia.org Tetun (Tetum)]
#[http://th.wikipedia.org &lt;span lang=&quot;th&quot;&gt;ไทย&lt;/span&gt; (Thai)]
#[http://vi.wikipedia.org Tiếng Việt (Vietnamese)]
#[http://ti.wikipedia.org &lt;span lang=&quot;ti&quot;&gt;ትግርኛ&lt;/span&gt; (Tigrinya)]
#[http://tg.wikipedia.org &lt;span lang=&quot;tg&quot;&gt;Тоҷикӣ&lt;/span&gt; (Tajik)]
#[http://tlh.wikipedia.org tlhIngan-Hol (Klingon)]
#[http://tpi.wikipedia.org Tok Pisin]
#[http://chr.wikipedia.org &lt;span lang=&quot;chr&quot;&gt;ᏣᎳᎩ&lt;/span&gt; (Cherokee)]
#[http://chy.wikipedia.org Tsetsêhestâhese (Cheyenne)]
#[http://tr.wikipedia.org Türkçe (Turkish)]
#[http://tk.wikipedia.org &lt;span lang=&quot;tk-Latn&quot;&gt;Türkmençe&amp;nbsp;/ &lt;/span&gt;&lt;span lang=&quot;tk-Arab&quot; dir=&quot;rtl&quot;&gt;تركمن&lt;/span&gt; (Turkmen)]
#[http://tw.wikipedia.org Twi]
#[http://udm.wikipedia.org &lt;span lang=&quot;udm&quot;&gt;Удмурт&lt;/span&gt; (Udmurt)]
#[http://uk.wikipedia.org &lt;span lang=&quot;uk&quot;&gt;Українська&lt;/span&gt; (Ukrainian)]
#[http://ur.wikipedia.org &lt;span lang=&quot;ur&quot; dir=&quot;rtl&quot;&gt;اردو&lt;/span&gt; (Urdu)]
#[http://ug.wikipedia.org &lt;span lang=&quot;ug-Arab&quot; dir=&quot;rtl&quot;&gt;ئۇيغۇرچە&lt;/span&gt;&amp;nbsp;/ &lt;span lang=&quot;ug-Latn&quot;&gt;Uyƣurqə&lt;/span&gt; (Uyghur)]
#[http://uz.wikipedia.org &lt;span lang=&quot;uz-Cyrl&quot;&gt;Ўзбек&lt;/span&gt;&amp;nbsp;/ &lt;span lang=&quot;uz-Latn&quot;&gt;Oʻzbekche&lt;/span&gt; (Uzbek)]
#[http://vec.wikipedia.org Vèneto (Venetian)]
#[http://vo.wikipedia.org Volapük]
#[http://fiu-vro.wikipedia.org Võro]
#[http://wa.wikipedia.org Walon (Waloon)]
#[http://vls.wikipedia.org West-Vlaoms (West Flemish)]
#[http://war.wikipedia.org Winaray (Waray-Waray)]
#[http://wo.wikipedia.org Wollof (Wolof)]
#[http://ts.wikipedia.org Xitsonga (Tsonga)]
#[http://ii.wikipedia.org &lt;span lang=&quot;ii&quot;&gt;ꆇꉙ&lt;/span&gt; (Sichuan Yi)]
#[http://yi.wikipedia.org &lt;span lang=&quot;yi&quot; dir=&quot;rtl&quot;&gt;ייִדיש&lt;/span&gt; (Yiddish)]
#[http://yo.wikipedia.org Yorùbá]
#[http://bat-smg.wikipedia.org Žemaitėška (Samogitian)]
#[http://zh.wikipedia.org &lt;span lang=&quot;zh&quot;&gt;中文&lt;/span&gt; (Chinese)]]]
#[http://zh-yue.wikipedia.org &lt;span lang=&quot;zh-tw&quot;&gt;粵語&lt;/span&gt; (Cantonese)]

=== Wiktionary ===
=== Wikibooks ===
=== Other ===
*[http://www.omegawiki.org/Main_Page Omegawiki] - multilingual resource in every language, with lexicological, terminological and thesaurus information.

==Active participants==
Please show the laguages you have a working knowlege of.
* [[User:CQ|CQ]] - [[Portal:English Language|English]]
*...

''Join the [[Wikiversity:Interlingual Beta Club|Interlingual Beta Club]]''
== Other information ==
{{WikiversityUsers}}

[[Category:Foreign Language Learning]]
[[Category:Interlingual Beta Club]]
[[Category:Languages]]
[[Category: Multilingual Studies]]
[[Category:Wikiversity portals]]

[[el:Τμήμα:Μετάφραση και διερμηνεία]]</text>
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  <page>
    <title>Southeast Asian Languages/Philippine Languages</title>
    <ns>0</ns>
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      <id>2803935</id>
      <parentid>2803886</parentid>
      <timestamp>2026-04-09T14:14:45Z</timestamp>
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        <username>CarlessParking</username>
        <id>3064444</id>
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      <text bytes="4452" sha1="8scy8et4rezl4ddlkhe4arqw2cweqid" xml:space="preserve">__NOTOC__ __NOEDITSECTION__
{| cellpadding=&quot;10&quot; cellspacing=&quot;5&quot; style=&quot;width: 99%; background-color: inherit; margin-left: auto; margin-right: auto&quot;
| style=&quot;background-color: Cornsilk; border: 1px solid #777777; -moz-border-radius-topleft: 8px; -moz-border-radius-bottomleft: 8px; -moz-border-radius-topright: 8px; -moz-border-radius-bottomright: 8px;&quot; colspan=&quot;2&quot; |[[File:Flag_of_the_Philippines.svg|frameless|100x100px]] &lt;big&gt;'''The Philippine Languages Department'''&lt;/big&gt;

|-
| style=&quot;width: 60%; background-color: #fffff0; border: 1px solid #777777; vertical-align: top; -moz-border-radius-topleft: 8px; -moz-border-radius-bottomleft: 8px; -moz-border-radius-topright: 8px; -moz-border-radius-bottomright: 8px;&quot; &lt;!--rowspan=&quot;2&quot;--&gt; |
{{center top}}&lt;big&gt;Mabuhay!&lt;/big&gt;{{center bottom}}
[[File:Rizal Monument on Rizal Day.jpg|150px|right]]
==Filipino 1==
[[Southeast Asian Languages/Philippine Languages/Filipino One|Filipino 1]], a foundational course provided by the [[Portal:Southeast Asian languages|Division of Southeast Asian Languages]], serves as an entry point for students seeking to acquaint themselves with the rudimentary aspects of the language, encompassing uncomplicated vocabulary acquisition, the mastering of fundamental phrases, and the exploration of elementary grammatical structures. Throughout this course, participants embark on an immersive linguistic journey, progressively building their proficiency in Filipino through engaging lessons, interactive exercises, and practical conversational practice that empowers them to communicate effectively in real-world scenarios.

|  rowspan=&quot;2&quot; style=&quot;width: 40%; background-color: #efefff; border: 1px solid #777777; vertical-align: top; -moz-border-radius-topleft: 8px; -moz-border-radius-bottomleft: 8px; -moz-border-radius-topright: 8px; -moz-border-radius-bottomright: 8px;&quot; |
{{center top}}&lt;h2&gt;The Philippines&lt;/h2&gt;{{center bottom}}
{{center top}}
[[File:LocationPhilippines.png|350px|center]]

{{center bottom}}
The [[:w:Philippines|Philippines]], officially the Republic of the Philippines (Filipino: Republika ng Pilipinas) is an archipelago located in Southeast Asia, comprising more than 7,000 islands in the western Pacific Ocean. Its rich history is a fascinating blend of indigenous cultures, Spanish colonization, and American influence. The country gained independence in 1946, but its history is marked by centuries of foreign rule, including over 300 years of Spanish colonization that left a lasting impact on the culture and religion. The Philippines is known for its diverse population, with over 100 million people, making it one of the most populous nations in Southeast Asia.

In terms of demographics, the Philippines is a melting pot of ethnic groups and languages. The majority of Filipinos are of Austronesian descent, but there are also significant Chinese, Spanish, and American influences due to centuries of trade and colonization. The official languages are Filipino (based on Tagalog) and English, with a wide variety of regional languages and dialects spoken throughout the islands. The predominantly Roman Catholic faith, brought by the Spanish, plays a central role in the culture, but there are also significant Muslim and indigenous communities.

Geographically, the Philippines is a stunningly diverse country. Its archipelagic nature means it boasts a wide range of landscapes, from lush tropical rainforests to active volcanoes and pristine beaches. The country is also vulnerable to natural disasters, with frequent typhoons, earthquakes, and volcanic eruptions. Despite these challenges, the Philippines is known for its natural beauty and has a vibrant tourism industry, attracting visitors from around the world who come to explore its breathtaking scenery and experience its unique culture.

|-
| style=&quot;width: 60%; background-color: Cornsilk; border: 1px solid #777777; vertical-align: top; -moz-border-radius-topleft: 8px; -moz-border-radius-bottomleft: 8px; -moz-border-radius-topright: 8px; -moz-border-radius-bottomright: 8px;&quot; |
[[Image:Nuvola apps edu miscellaneous.svg|right|96px]]
==Lessons==
*  Lesson #1&lt;nowiki&gt;: &lt;/nowiki&gt;'''[[/Lesson:Introducing Yourself| Introducing Yourself]]'''
* Lesson #2:'''[[/Filipino/Lesson:Pronunciation|Pronunciation]]
* Lesson #3:'''[[/Filipino/Lesson:Numbers|Numbers]]'''
==Other Philippine Languages==
* [[Southeast Asian Languages/Philippine Languages/Bikol|Bikol]]
|}

[[Category:Filipino]]</text>
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      <text bytes="4455" sha1="foekpcqqlokxnynb0zls9vpjufl1z45" xml:space="preserve">__NOTOC__ __NOEDITSECTION__
{| cellpadding=&quot;10&quot; cellspacing=&quot;5&quot; style=&quot;width: 99%; background-color: inherit; margin-left: auto; margin-right: auto&quot;
| style=&quot;background-color: Cornsilk; border: 1px solid #777777; -moz-border-radius-topleft: 8px; -moz-border-radius-bottomleft: 8px; -moz-border-radius-topright: 8px; -moz-border-radius-bottomright: 8px;&quot; colspan=&quot;2&quot; |[[File:Flag_of_the_Philippines.svg|frameless|100x100px]] &lt;big&gt;'''The Philippine Languages Department'''&lt;/big&gt;

|-
| style=&quot;width: 60%; background-color: #fffff0; border: 1px solid #777777; vertical-align: top; -moz-border-radius-topleft: 8px; -moz-border-radius-bottomleft: 8px; -moz-border-radius-topright: 8px; -moz-border-radius-bottomright: 8px;&quot; &lt;!--rowspan=&quot;2&quot;--&gt; |
{{center top}}&lt;big&gt;Mabuhay!&lt;/big&gt;{{center bottom}}
[[File:Rizal Monument on Rizal Day.jpg|150px|right]]
==Filipino 1==
[[Southeast Asian Languages/Philippine Languages/Filipino One|Filipino 1]], a foundational course provided by the [[Portal:Southeast Asian languages|Division of Southeast Asian Languages]], serves as an entry point for students seeking to acquaint themselves with the rudimentary aspects of the language, encompassing uncomplicated vocabulary acquisition, the mastering of fundamental phrases, and the exploration of elementary grammatical structures. Throughout this course, participants embark on an immersive linguistic journey, progressively building their proficiency in Filipino through engaging lessons, interactive exercises, and practical conversational practice that empowers them to communicate effectively in real-world scenarios.

|  rowspan=&quot;2&quot; style=&quot;width: 40%; background-color: #efefff; border: 1px solid #777777; vertical-align: top; -moz-border-radius-topleft: 8px; -moz-border-radius-bottomleft: 8px; -moz-border-radius-topright: 8px; -moz-border-radius-bottomright: 8px;&quot; |
{{center top}}&lt;h2&gt;The Philippines&lt;/h2&gt;{{center bottom}}
{{center top}}
[[File:LocationPhilippines.png|350px|center]]

{{center bottom}}
The [[:w:Philippines|Philippines]], officially the Republic of the Philippines (Filipino: Republika ng Pilipinas) is an archipelago located in Southeast Asia, comprising more than 7,000 islands in the western Pacific Ocean. Its rich history is a fascinating blend of indigenous cultures, Spanish colonization, and American influence. The country gained independence in 1946, but its history is marked by centuries of foreign rule, including over 300 years of Spanish colonization that left a lasting impact on the culture and religion. The Philippines is known for its diverse population, with over 100 million people, making it one of the most populous nations in Southeast Asia.

In terms of demographics, the Philippines is a melting pot of ethnic groups and languages. The majority of Filipinos are of Austronesian descent, but there are also significant Chinese, Spanish, and American influences due to centuries of trade and colonization. The official languages are Filipino (based on Tagalog) and English, with a wide variety of regional languages and dialects spoken throughout the islands. The predominantly Roman Catholic faith, brought by the Spanish, plays a central role in the culture, but there are also significant Muslim and indigenous communities.

Geographically, the Philippines is a stunningly diverse country. Its archipelagic nature means it boasts a wide range of landscapes, from lush tropical rainforests to active volcanoes and pristine beaches. The country is also vulnerable to natural disasters, with frequent typhoons, earthquakes, and volcanic eruptions. Despite these challenges, the Philippines is known for its natural beauty and has a vibrant tourism industry, attracting visitors from around the world who come to explore its breathtaking scenery and experience its unique culture.

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[[Image:Nuvola apps edu miscellaneous.svg|right|96px]]
==Lessons==
*  Lesson #1&lt;nowiki&gt;: &lt;/nowiki&gt;'''[[/Lesson:Introducing Yourself| Introducing Yourself]]'''
* Lesson #2:'''[[/Filipino/Lesson:Pronunciation|Pronunciation]]'''
* Lesson #3:'''[[/Filipino/Lesson:Numbers|Numbers]]'''
==Other Philippine Languages==
* [[Southeast Asian Languages/Philippine Languages/Bikol|Bikol]]
|}

[[Category:Filipino]]</text>
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  <page>
    <title>Southeast Asian Languages/Vietnamese</title>
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      <minor />
      <comment>removed [[Category:Vietnamese language]]; added [[Category:Vietnamese]] using [[Help:Gadget-HotCat|HotCat]]</comment>
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      <text bytes="2615" sha1="dccjvs72wm7fy96xdk55vggd5gnu2of" xml:space="preserve">__NOTOC__ __NOEDITSECTION__
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&lt;br&gt;

[[File:Flag of Vietnam.svg|90px|right]]
&lt;big&gt; Vietnamese Language Department&lt;/big&gt;

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{{center top}}&lt;big&gt;Welcome!&lt;/big&gt;{{center bottom}}
{{center top}}&lt;big&gt;Chào mừng!&lt;/big&gt;{{center bottom}}
[[Image:I'm coming, PXP.jpg|210px|right]]

==Vietnamese 1==
'''[[Vietnamese 1]]''' is a course offered by the [[Portal:Southeast Asian languages|Division of Southeast Asian Languages]] in which students are introduced to simple vocabulary, phrases, and elementary grammatical structures of the language.

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{{center top}}&lt;h2&gt;Vietnam&lt;/h2&gt;{{center bottom}}
{{center top}}
[[Image:LocationVietnam.svg|230px|Vietnam in the world]]
{{center bottom}}
[[w:Vietnam|Vietnam]], officially the Socialist Republic of Vietnam (Vietnamese: Cộng hòa Xã hội chủ nghĩa Việt Nam), is a country in the mainland Southeast Asia. Once part of French Indochina, it is a country of over 200 million. It is bordered by the countries of Laos, Cambodia and China.

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[[Image:Nuvola apps edu miscellaneous.svg|right|96px]]
==Lessons==
*  Lesson #1&lt;nowiki&gt;: &lt;/nowiki&gt;'''[[/Lesson:Vietnamese tones|Vietnamese tones]]'''
*  Lesson #2&lt;nowiki&gt;: &lt;/nowiki&gt;'''[[/Lesson:Introducing Yourself| Introducing Yourself]]'''
*  Lesson #3&lt;nowiki&gt;: &lt;/nowiki&gt;'''[[Vietnamese 1/Script and grammar|Script and grammar]]'''
*  Lesson #4&lt;nowiki&gt;: &lt;/nowiki&gt;'''[[Vietnamese 1/Visual|Visual]]'''
*  Lesson #5&lt;nowiki&gt;: &lt;/nowiki&gt;'''[[/Lesson:Names of the Days| Names of the Days]]'''
See also: [[Portal:Vietnamese]]
|}

[[Category:Vietnamese]]</text>
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  <page>
    <title>Vietnamese 1/Introducing Yourself</title>
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      <text bytes="141" sha1="50nccentk98yusmhqcfbjjr954aoere" xml:space="preserve">Xin chào! = Hello!

Tôi tên là ... = My name is ...

Tôi là '''người Việt Nam''' = I am '''Vietnamese'''


[[Category:Vietnamese]]</text>
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  <page>
    <title>Portal:Foreign Language Learning/Participant Coordination</title>
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      <contributor>
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      <comment>/* Divisions and Departments */</comment>
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      <text bytes="24874" sha1="mo9z4v8rr8h6z1bj270hk8mcdgwq377" xml:space="preserve">Welcome to the Wikiversity Language Coordination page, part of [[Portal:Foreign Language Learning|Foreign Language Learning]]!  Users are encouraged to sign up under the languages they are interested in being involved with here.

==Divisions and Departments==
Divisions and Departments of the Center exist on pages in &quot;topic&quot; namespace. Start the name of departments with the &quot;Topic:&quot; prefix; departments reside in the [[Wikiversity:Namespaces|Topic: namespace]]. Departments and divisions link to learning materials and learning projects. Divisions can link subdivisions or to departments. For more information on schools, divisions and departments look at the [[Wikiversity:Naming_conventions|Naming Conventions]].

* [[Portal:Brythonic Celtic Languages Division|Brythonic Celtic Languages Division]]
* [[Portal:English Language|English Language Division]]
* [[Portal:French|French Department]]
* [[Portal:Hebrew|Hebrew Language Division]]
* [[Portal:Klingon|Klingon Language Department]]
* [[Portal:Picard|Picard Department]]
* [[Portal:Tolkien languages|Tolkien Languages Department]]
* [[Portal:Bikol|Bikol Language Department]]

==Active participants==
Please register interest in a language by listing the language you wish to learn or that you are able to teach and your name below. (To edit the page, click on &quot;Edit This Page&quot; up on the top of this page). Please also mention the level of language you already have.

===Participants wanting to learn a language===
====[[Portal:Arabic|Arabic]]====
#--[[User:Christian Newman|Christian Newman]] 18:12, 8 April 2011 (UTC)
#--[[user:Who Ph.D|Who Ph.D]] I know arabic script and pronounciation, but little meaning. That's something that I would like to learn. 11 July 2006
#--[[User:Uly|Uly]] 02:36, 25 September 2006 (UTC) Complete beginner, trying to learn the script.
#--[[User:boomthescholar]] I am a complete beginner. Want to learn from beginning how to read and write arabic. 13 October 2006
#--[[User:ninja]] I too am a complete beginner but am interested in learning to speak Arabic.
#--[[User:Forensicgeek]] I wish to persue an English-teaching career in Arabic countries and would like to learn the language.
#--[[User:Fr Bill]] 14 yrs in Sudan; read,write,speak fluently; taught for 3 yrs; would like practice
#--[[User:Balloonguy|Balloonguy]] know script and pronounciation
#--[[User:delthobs|delthobs]] I am a beginner also and would like to learn the language
#--[[User:danshelb|danshelb]] I'm an utter beginner but am interested in learning, particularly the written side.
#--[[User:Taishakutin|Taishakutin]] I can read and write Arabic and have it dictated to me and I have a good accent but I have a fairly poor vocabulary and rudimentary understanding of the grammar.
#--[[User:kalkilani|kalkilani]] Can read and write, good pronunciation, poor conversational skills. Moving to Egypt soon, so i need to learn now!

====[[Portal:Breton|Breton]]====
#--[[User:Luzmael]]  Would love to learn more !

====Cherokee====
#--[[User:Diogenes]]  Would Love to learn Cherokee, hard to find resources on the Language.
#--[[User:CQ]] Same goes for me. I'm only 3/16 Cherokee but would like to reconnect with the heritage. &amp;ndash;[[w:Cherokee|Tsa]]-[[w:Cherokee language|la]]-[[w:Cherokee syllabary|gi]]
#--[[User:Junesun]] I'd love to learn.

====[[Topic:Cantonese|Chinese (Cantonese)]]====
#--[[User:RichMac|RichMac]]
#--[[User:Uly|Uly]] 02:38, 25 September 2006 (UTC) Mandarin speaker... understand ''some'' Cantonese intuitively, wishes to speak.
#--[[User:mariehuynh|Marie Huynh]] speaks Cantonese with family; has limited schooling for formal vocabulary

====[[Portal:Chinese|Chinese]] (Mandarin)====
#--[[User:Ce garcon|Ce garcon]] 11:26, 18 September 2006 (UTC) Wo xiang xue Guoyu!
#--[[User:Jade Knight|Jade Knight]] 06:49, 7 October 2006 (UTC) Limited conversational skills.  Very interested.
#--[[User:Alexander Gerashchenko|Alexander Gerashchenko]] 18:04, 10 October 2006 (UTC) I want to expand my limited knowledge of Chinese.
#--[[User:godoflight|godoflight]] 14:52, 16 October 2006 (UTC) I learn chinese in school and want to put it into practice.
#--[[User:Fr Bill]] 5 yrs in China; read, write, know all grammar, expanding vocabulary; need spoken practice
#----[[User:Danaman5|Danaman5]] 06:37, 29 October 2006 (UTC) I study Chinese at my university and have been to China.  I would say I have an Intermediate, bordering on advanced level of learning, and would be happy to learn more or teach what I already know to others.
#--[[User:Taishakutin|Taishakutin]] I have an intermediate grasp of Mandarin Chinese and can write around 2500 characters. My pronunciation is OK, though my tones need more work. Happy to practise with people online by webchat. Currently residing in Beijing, China.
#--[[User:Maxibons|Maxibons]] I know some basic Mandarin but I'd love to become fluent eventually, so I'd love to learn as soon as possible! I'm going to China next Summer and I want to be able to speak at least a bit of Mandarin.

====[[Portal:Cornish|Cornish]]====
#--[[User:Luzmael]]  I am very interested.

====[[Portal:Tolkien languages|Elvish (Quenya (High-elven) and Sindarin (Grey-elven))]]====
*Please add your name at the [[Elvish stream]].

====[[Portal:English Language|English]]====
#--[[User:Javier José Moreno Tovar18|Javier José Moreno Tovar18]]

====[[Esperanto]]====
#--[[User:Balloonguy|Balloonguy]] 20:14, 22 August 2006 (UTC) Know some basic grammer.
#arttic00 i'm willing to learn
#craasnibooi- i would like to speak Esperanto

====[[Portal:French|French]]====
*Please add your name at the [[French_stream#Participants|French Stream]].

====Gaelic====
#--[[User:Soulaegis|Soulaegis]] 14:42, 10 April 2006 (UTC)
#--[[User:Limetom|Limetom]] 06:48, 23 July 2006 (UTC) I'd like to learn Irish, but I have no clue where to start.
#--[[User:DakeDesu|DakeDesu]] 16:11, 2nd August 2006 (MST) I wouldn't mind knowing my roots.
#--[[User:Mathboy965|Mathboy965]] 17:14, 19 October 2006 (UTC) Would like to learn Irish.  It just sounds really cool.
#--[[User:Door| Door]] 23:21, 22 October 2006 (UTC) I can speak Irish fairly well. Slightly interested in teaching.
#--[[User:ptal89| ptal89]] 7:27, 1 November 2006 (EST) I would really like to learn Irish. The college I'm planning to attend doesn't have the course.
#--[[User:Fluffysockmonster|Fluffysockmonster]] 06:56, 12 May 2007 (UTC)I would '''LOVE''' to learn gaelic, but none of the universities I would consider going to here in Australia teach it
#--[[User:Scorpio]] 6:00 PM IST March 18, 2011. Would love to learn all Gaelic languages. I like learning foreign languages.
#--[[User:EmmaMacD789|EmmaMacD789]] 10:59, 14 November (UTC) Very interested in Gaelic and foreign languages as a whole.

====Georgian====
#--[[User:Malafaya|Malafaya]] 16:49, 4 October 2006 (UTC) - Very beginner stage.

====[[Portal:German|German]]====
see [[German stream]]

====Greek====
#--[[User:Alexander Gerashchenko|Alexander Gerashchenko]] 18:04, 10 October 2006 (UTC) I know how to read the letters (as well as their combinations), but my knowledge of Greek grammar and vocabulary is very small.
#--[[User:CQ|CQ]] 08:53, 8 June 2007 (UTC) - I use an Interlinear Greek New Testament as a core for [[Bible|Bible study]].
#--[[User:Nanda7|Nanda7]]I know all alphabets.But nothing about pronunciation and grammar.But I am very much interested to learn.

====[[Portal:Hebrew|Hebrew]]====
*Please add your name at the '''[[Portal:Hebrew/Hebrew stream|Hebrew Stream]]''' if you are interested in learning Hebrew.

====Hindi====
#--[[User:DivePeak]]  17:25 Monday 25 of September 2006 (gmt +12:00) Want to travel to India and would love to know some Hindi before I go.

====Icelandic====
#--[[User:Orpheo|Orpheo]] 12:49, 12 September 2006 (UTC) Begginer. Taking some really basic online lessons.
#--[[User:MNrykein|MNrykein]] 00:49, 10 June 2011 (UTC) -- Very basic beginner.  Read the WikiBooks book and taking basic online lessons.
#--[[User:EmmaMacD789|EmmaMacD789]] 10:58, 14 November (UTC) Beginner. Looking through some basic online lessons.

====[[Portal:Italian|Italian]]====
#--[[User:Uly|Uly]] 02:36, 25 September 2006 (UTC) False beginner.  Speaks French and able to understand some Italian even though I never learned it.
#--[[User:Mathboy965|Mathboy965]] 17:12, 19 October 2006 (UTC) Speak Spanish and able to understand some Italian.
#--[[User:Jaakuuta|&lt;b&gt;JoNNY&lt;/b&gt;]] 18:58, 26 October 2006 (UTC) I have a friend whose family speaks Italian, I've studied a bit of the main latin-based languages, and can understand Spanish the best.
#[[User:NewBeginning|NewBeginning]] 06:05, 30 October 2006 (UTC) I'm somewhat interested in this language, but I know nothing about it. I speak English and am in my second year of French (at my high school).

====[[Japanese stream|Japanese]]====
See the [[Portal:Japanese|Japanese topic]] page.

====[[Portal:Korean|Korean]]====
#--[[User:Ce garcon|Ce garcon]] 11:26, 18 September 2006 (UTC) Got fairly good basic Korean! neomu neomu kongbu sipeoyo! I really want to learn!
#--[[User:Enni84|Enni84]] 22 September 2006 - Understand the basics, but lacking in vocabulary and grammar patterns
#--[[User:MyUsername|MyUsername]] 13:52, 22 September 2006 (UTC) Complete beginner.
#--[[User:Uly|Uly]] 02:36, 25 September 2006 (UTC) Beginner, just learnt the hangul (but still shaky).  Speaks Chinese and Japanese.

====Latin====
#--[[User:Skyler]] 18:19, 11 June 2008 (Central Time) I REALLY want to know Latin. I have a book and know some basic pronounciation rules and some words but VERY few.
#--[[User:Balloonguy|Balloonguy]] 20:14, 22 August 2006 (UTC) complete beginner.
#--[[User:Uly|Uly]] 02:36, 25 September 2006 (UTC) Never studied but can guess-read some.  Speaks French.
#--[[User:Jade Knight|Jade Knight]] 06:52, 7 October 2006 (UTC)Very limited knowledge; was given a few weeks on it in a French class.  Speak French.
#--[[User:Alexander Gerashchenko|Alexander Gerashchenko]] 18:04, 10 October 2006 (UTC) &quot;Advanced beginner&quot;
#--[[User:Absynthe|Absynthe]] 06:24, 26 October 2006 (UTC)  Two years of it in high school, but that was so many decades ago.
#--[[User:Jaakuuta|JonJon]] 19:01, 26 October 2006 (UTC) I know a little bit about latin from studying latin-based languages and from opera-rock ballads and ancient hymns
#--[[User:Dante|Dante]] 05:01, 28 October 2006 (UTC)
#[[User:NewBeginning|NewBeginning]] 06:00, 30 October 2006 (UTC) Total beginner, know English (obviously) and am learning French (in high school, 2nd year).
#--[[User:Dlhel|Dlhel]] 05:20, 28 March 2007 (UTC)  Two years of it in jr high, but decades ago. Speak French and Spanish.
#--[[User:Wiki of One|Wiki of One]] 11:32, 4 September 2007 (UTC) Mostly a beginner with a little French.
#--[[User:Basekid|Basekid]] 19:50, 22 November 2007 (GST + 12) No previous knowledge. Know Dutch and English
#--[[User:Ketaikeon|Ketaikeon]] 16:52, 8 March 2009 (UTC) Is currently in 5th year of Latin (Latin IV); has completed the Ecce 
#--[[User:Joejill67|Joejill67]] 07:57, 29 January 2010 (UTC) I am a complete beginner.

====Lojban====
#--[[User:Orpheo|Orpheo]] 12:49, 12 September 2006 (UTC) Just started basic lessons. 

====Luganda====
#--[[User:KKinene|KKinene]] I would like to improve my Luganda and to help create a Luganda Department in the Foreign language Department.

====Norman====
#--[[User:Jade Knight|Jade Knight]] 07:00, 7 October 2006 (UTC) Can read Norman fairly proficiently.  Very limited writing skills, almost no speaking ability.  I'm particularly interested in Jersey Norman (Jèrriais).  Proficient in French.

==== Pitcairnese ====
#--[[User:Skyler]] 18:22, 11 June 2008 (central time) I nearly desperatley want to learn it but there isn't anything out there to help. On the rare occasion that there's a website with some words/phrases, there aren't many words and there isn't any pronouncation key(s). There, also, are never any explanations on grammer or anything.
::Have you looked at [[w:Pitkern]]?  There's also a Wikipedia in Norfolk/Pitkern.  It may be worthwhile to head there and ask if anyone's willing to come over here and teach you.  [[User:Jade Knight|The Jade Knight]] 16:51, 3 September 2008 (UTC)

====[[Portal:Quechua|Quechua]]====
#--[[User:Elnole|Elnole]] 17:16, 28 October 2006 (UTC) I only know grammar, basics and some vocabulary. I want to become fluent.
#--[[User:Luzmael|Luzmael]] 07:54, 30 November 2007 (UTC) Working on it !

====Romanian====
#--[[User:Opiaterein|Opiaterein]] 18:04, 3 May 2007 (UTC) Started learning a month or two ago. Good with the basics, but would like to continue learning more advanced grammar, etc.

====[[Portal:Róng|Róng (Lepcha)]]====
#--[[User:Otvm|Otvm]] 17:15, 14 July 2018 (UTC) I have been looking at various resources, and I would like to learn more, but the amount of resources is so limited.

====Russian====
#--[[User:Jack30491|Jack30491]] 05:11, 26 September 2006 (PST) KNow alphabet but would like to become fluent.
#[[User:Xlbnushk|Xlbnushk]] 17:55, 28 October 2006 (UTC) -- I was born in Russia, but haven't used the language much at all since I left. I could get it back up and running fairly quickly if there were somebody with whom I could converse at my waning level...
#'''[[User:craasnibooi|craasnibooi]]''' I know three words, thats it. However, I have friends who are native speakers, and I'd like to impress them when they come back in the Fall.
#[[User:Zim|Zim]] 16:15, 27 May 2007 (UTC) I know practically nothing about the Russian language, but I would like to learn it, since I travel a lot.
#--[[User:cyojoe]] 2:40, 8 August 2007 (PST) Complete beginner.
#--[[User:Levtchenkov]] 12:29, 18 April 2008 (PST) Hi I am from Russia and I am fluent in Russian, I am also quite interested in linguistics, I want to contribute to the learning project and perhaps write some articles on it, if anyone is interested in the same thing please let me know, we can coordinate.
#--[[User:JosepVirgili|JosepVirgili]] 18:34, 9 November 2010 (UTC) Hi I'm from Catolonia but currently living in the United Kingdom. I've just begun to learn Russian and I would like to become more fluent.

====[[Portal:Spanish|Spanish]]====
*Please add your name at the [[Portal:Spanish/Spanish stream|Spanish Stream]] if you are interested in Spanish.
*Also, you can check the [[Spanish/Registration|old list of participants]].

====Sanskrit====
#--[[User:Uly|Uly]] 02:36, 25 September 2006 (UTC) Studied the basics before but forgot nearly everything due to inpractice.  Knows the script but not very proficient.

====Swahili====
#--[[[w:User:Jggouvea|Jggouvea]]] 14:43, 31 October 2006 (UTC) absolute beginner.

====Tamazight====
#--[[user:Isis_pt]] I only know a couple of words because my boyfriend is Amazigh. I'd like to learn the language. 02 Sept 2007

====[[Portal:Tibetan|Tibetan]]====
#--[[user:B9 hummingbird hovering|B9 hummingbird hovering]]
# [[user:walterdzog|walterdzog]] - Walter Perez - Caracas - Venezuela -  learning to use this tool and interested in learning tibetan, mainly for appreciating more the practice texts and also Dzogchen texts, very promising and interesting initiative.
#[[User:Karma_Dorje|Karma_Dorje]]
#[[user:Chozang|Chozang]]: I am very interested by this project!
#[[PalmdaleHermit]]: I have been amazed by the Dalia Lama for many years and as such I would like to learn Tibetan to perhaps help in some small way to preserve their legacy to mankind.
#[[User:Rousse]]: I'm learning Classical Tibetan already but would like to progress with the colloquial language too.
#[[User:Akatararyo|AkataraRyo]]: I am also very interested in learning!
#[[User:PFStevenson32|PFStevenson32]]: I am also very interesting in learning Tibetan. Thanks!
#[[User:Pawo-pawo|Pawo-pawo]]: very beginner. Only writing alphabet and little reading

====Ukrainian====
#--[[User:Alexander Gerashchenko|Alexander Gerashchenko]] 18:04, 10 October 2006 (UTC) I can understand Ukrainian, but I am far from being perfect in speaking it. 

====[[Portal:Vietnamese|Vietnamese]]====
#[[User:Brett_Johnston|Brett Johnston]]: I'm learning this language.

====Welsh====
#--[[User:Jade Knight|Jade Knight]] 06:55, 7 October 2006 (UTC) Conversational (in theory; I've never spoken the language with a native), but with difficulty.
#--[[User:Fluffysockmonster|Fluffysockmonster]] 06:59, 12 May 2007 (UTC)Would like to learn welsh
#--[[User:Luzmael]]  I am very interested.

===Experienced Participants===
If you can help others learn a language, describe your language abilties below:

====[[Arabic]]====
#-- [[User:212.123.21.178|212.123.21.178]] I am ready to write 30 modules Classical Arabic Language Course. Classical Arabic is vocabulary and grammar used by Quran, The Holy Book of Islam.
#--[[User: Fr Bill]] 14 yrs in Sudan; fluent in reading,writing,speaking; taught 3 yrs; need practice speaking

====Bosnian====
#--[[User:Ђорђе Д. Божовић|Ђорђе Д. Божовић]] 23:17, 11 November 2005 (UTC) (native speaker, but I recommend to others not to start learning Bosnian, but Serbian or Croatian first, because knowing Serbian or Croatian means that you also know Bosnian very well. That's a friendly and teacher's advice. See [[Serbian:Introduction|this page]] for further information on the Serbian-Croatian-Bosnian languages relation)

====Croatian====
#--[[User:Ђорђе Д. Божовић|Ђорђе Д. Божовић]] 23:17, 11 November 2005 (UTC) (native speaker)

====Danish====
#--Anders Hjortshøj, native speaker. Contact at: anders.malle@gmail.com

====[[Portal:Tolkien languages|Elvish (Quenya (High-elven) and Sindarin (Grey-elven))]]====
*Please add your name at the [[Elvish stream]].

====[[Portal:French|French]]====
*Please add your name '''at the [[French_stream#Participants|French Stream]]''' if you are interested in French.

====[[Portal:Hebrew|Hebrew]]====
*Please add your name at the '''[[Portal:Hebrew/Hebrew stream|Hebrew Stream]]''' if you are interested in teaching Hebrew.

====Icelandic====
#--[[User:BiT|BiT]] I'm a native speaker of icelandic, and I'm ready to help anyone with any problem in icelandic as far as my skills can carry me. (Native speaker)

====[[Portal:Italian|Italian]]====
#--[[User:Elistir|Elistir]] &lt;sup&gt;[[User_talk:Elistir|talk]]&lt;/sup&gt; 13:13, 22 October 2006 (UTC) Native speaker.
#--[[User:NSPossum|NSPossum]] 21:16 25 April 2007 (UTC) I have a profound interest of foreign (primarily european) languages. I have studied Italian for four years and I am furthering my studies of Italian at University. I will contribute what I have learned to Wikiversity.
#--[[User:Isis_pt|Isis_pt]] 02 September 2007 Learning new languages is a hobby. Learned italian until intermediate level and am now living in Italy. I can also speak english, french, german, spanish (basic) and portuguese (native). Should someone need help, just get in touch!

====[[Japanese stream|Japanese]]====
See the [[Portal:Japanese|Japanese topic]] page.

====[[Portal:Klingon|Klingon]]====
#--[[User:Jonathan Webley|Jonathan Webley]] I'm a non-native speaker of this constructed language, but learning fast.

====Latin====
#--[[User:Cidmarquez|Jason Fossella]] 03:19, 26 March 2013 (UTC) Quasi-native speaker (started when I was 8, so that's as close as it comes). Doctoral candidate in medieval history. 
#--[[User:Ђорђе Д. Божовић|George D. Bozovic]] &lt;sup&gt;[[User talk:Ђорђе Д. Божовић|talk]]&lt;/sup&gt; 23:43, 25 March 2006 (UTC) Non-native speaker. :) However, still learning some more advanced areas of the language.
#--[[User:Limetom|Limetom]] 06:43, 23 July 2006 (UTC) Non-native speaker (who is?)  Four years of near college-level courses.  Willing to help when I can.

====Norwegian====
#--[[User:Slaattnes|Slaattnes]] I am a native speaker of norwegian, and fluent in English.

====[[Portal:Picard|Picard]]====
#--[[User:Geoleplubo|Géo Leplubo]] (native speaker)

====Polish====
#--[[User:Rowan|Rowan]] 15:17, 07-10-2006 - Native speaker of both Polish and English (bilingual), hence willing to help with either.

====[[Portal:Portuguese|Portuguese]]====
#--[[User:Malafaya|Malafaya]] 16:52, 4 October 2006 (UTC) - Standard/European Portuguese native speaker.
#--[[User:AwenStormFool|AwenStormFool]] 17:14, 06 October 2006 (UTC) - Native lusophonic, a professional writer in this language. I am also very fluent in English and have basic knowledge in other European languages.

====Romanian====
#--[[User:Alexmandru|Alexandru Dan Mândru]] - Native speaker of Romanian with basic knowledge of educational studies; German - intermmediate, English - advanced.

====Russian====
#--[[User:Alexander Gerashchenko|Alexander Gerashchenko]] 18:04, 10 October 2006 (UTC) Native speaker.
====Serbian====
#--[[User:Ђорђе Д. Божовић|Ђорђе Д. Божовић]] 23:17, 11 November 2005 (UTC) (native speaker. See [[Serbian|Serbian Language Textbook]])

====Serbo-Croatian====
#--[[User:Ђорђе Д. Божовић|Ђорђе Д. Божовић]] 23:17, 11 November 2005 (UTC) (native speaker. Here's some advice: Knowing Serbo-Croatian language would mean that you know Serbian, Croatian, and Bosnian, too, because those are not different languages, but one single language which is called in four different ways. Some small differences really exist between these languages, but Serbo-Croatian covers all the variants, and it is the most of all recommended for learning. See [[Portal:Serbo-Croatian|Serbo-Croatian Textbook]] and [[Introduction to Serbo-Croatian]] for further information about these languages and their &quot;differences&quot;.)

====[[Portal:Spanish|Spanish]]====
*Please add your name at the [[Portal:Spanish/Spanish stream|Spanish Stream]] if you are interested in Spanish.
*Also, you can check the [[Spanish/Registration|old list of participants]].

==Wikibooks On Foreign Languages==
: ''See [[b:Subject:Languages]] for listings of these.''

;French
: [[b:French|French]]

;German
: [[b:German|German Language Textbook]] is very nice-looking and is good for learning German.
: [[b:BLL German|Bite-sized lessons for German]] is a new approach for those who easily feel overwhelmed with regular textbooks. Some lessons are ready, more contributions needed.

;Greek
: [[b:Modern Greek]] provides lessons in Greek as it is spoken today. The old course is accessible but presently being re-worked, help would be appreciated. Meanwhile, a new kind of introduction to the Greek alphabet is already more than half-way complete.

;Japanese
: [[b:Japanese|Japanese]] After multiple rewrites of this book, the better half of a year has seen steady progress stitching together the patches left by several teams of contributors. The current state is poor, and improvements are slowing as current contributors are faced with the limits of their own Japanese abilities. There are several modules on specific grammatical terms and a number of vocabulary lists. A list of grammar points roughly for JLPT4 (N5) has been compiled but not ordered into a lesson plan. Experienced hands welcomed. --[[User:Swift|Swift]] 11:35, 24 February 2009 (UTC)

;[[Portal:Klingon|Klingon]]
: [[b:Klingon|Klingon]] is very much incomplete, but a start nevertheless..

;Korean
: [[b:Korean|Korean]] is wikibook with some of the basics of the language, but still seriously lacking in good lessons etc.

;Persian
: If you go to the [[b:Farsi|Persian Wikibook]], you will find the first 21 lessons in a course for learning Persian language. When you click on the words written in Persian, using ashampoo, it is possible to hear how the word is pronounced.  This is a start to learning the language, but a tutor's support is recommended.

;Portuguese
: Here is the [[b:Portuguese|Portuguese Language Wikibook]]. There is a comprehensive series of chapters on particular grammar points, as well as a partially completed language learning course.

;Russian
: [[b:Russian|Russian Wikibook]]

;Serbian/Serbo-Croatian
: Learning this beautiful South Slavic language would open the whole spectrum of opportunities for learning other Slavic languages, such as Russian, Polish, Bulgarian, Slovenian, Czech, etc. The [[b:Serbian|Serbian]] Wikibook offers an introduction to the language, a grammar of the language, and many lessons and text for reading and practicing Serbian/Serbo-Croatian.

;Spanish
: Spanish is a beautiful language with an intuitive system of orthography and conjugation. The [[b:Spanish|Spanish Wikibook]] offers an introduction and lessons to the language.

;Tagalog
: The [[b:Tagalog]] Wikibook is being developed. We need your input on exercises, your questions, your ideas on what you want to learn! Written in part by a native speaker, with audio clips and pronounciation help on the way. We will be your textbook and your teacher!

[[Category:Foreign Language Learning]]
[[Category:Interlingual Beta Club]]
[[Category:Languages and Language families]]
[[Category: Multilingual Studies]]</text>
      <sha1>mo9z4v8rr8h6z1bj270hk8mcdgwq377</sha1>
    </revision>
    <revision>
      <id>2804048</id>
      <parentid>2804045</parentid>
      <timestamp>2026-04-10T02:43:34Z</timestamp>
      <contributor>
        <username>CarlessParking</username>
        <id>3064444</id>
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      <comment>/* Wikibooks On Foreign Languages */</comment>
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      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="25056" sha1="fpkjch3ftp31whqn1he1g099xwubx1z" xml:space="preserve">Welcome to the Wikiversity Language Coordination page, part of [[Portal:Foreign Language Learning|Foreign Language Learning]]!  Users are encouraged to sign up under the languages they are interested in being involved with here.

==Divisions and Departments==
Divisions and Departments of the Center exist on pages in &quot;topic&quot; namespace. Start the name of departments with the &quot;Topic:&quot; prefix; departments reside in the [[Wikiversity:Namespaces|Topic: namespace]]. Departments and divisions link to learning materials and learning projects. Divisions can link subdivisions or to departments. For more information on schools, divisions and departments look at the [[Wikiversity:Naming_conventions|Naming Conventions]].

* [[Portal:Brythonic Celtic Languages Division|Brythonic Celtic Languages Division]]
* [[Portal:English Language|English Language Division]]
* [[Portal:French|French Department]]
* [[Portal:Hebrew|Hebrew Language Division]]
* [[Portal:Klingon|Klingon Language Department]]
* [[Portal:Picard|Picard Department]]
* [[Portal:Tolkien languages|Tolkien Languages Department]]
* [[Portal:Bikol|Bikol Language Department]]

==Active participants==
Please register interest in a language by listing the language you wish to learn or that you are able to teach and your name below. (To edit the page, click on &quot;Edit This Page&quot; up on the top of this page). Please also mention the level of language you already have.

===Participants wanting to learn a language===
====[[Portal:Arabic|Arabic]]====
#--[[User:Christian Newman|Christian Newman]] 18:12, 8 April 2011 (UTC)
#--[[user:Who Ph.D|Who Ph.D]] I know arabic script and pronounciation, but little meaning. That's something that I would like to learn. 11 July 2006
#--[[User:Uly|Uly]] 02:36, 25 September 2006 (UTC) Complete beginner, trying to learn the script.
#--[[User:boomthescholar]] I am a complete beginner. Want to learn from beginning how to read and write arabic. 13 October 2006
#--[[User:ninja]] I too am a complete beginner but am interested in learning to speak Arabic.
#--[[User:Forensicgeek]] I wish to persue an English-teaching career in Arabic countries and would like to learn the language.
#--[[User:Fr Bill]] 14 yrs in Sudan; read,write,speak fluently; taught for 3 yrs; would like practice
#--[[User:Balloonguy|Balloonguy]] know script and pronounciation
#--[[User:delthobs|delthobs]] I am a beginner also and would like to learn the language
#--[[User:danshelb|danshelb]] I'm an utter beginner but am interested in learning, particularly the written side.
#--[[User:Taishakutin|Taishakutin]] I can read and write Arabic and have it dictated to me and I have a good accent but I have a fairly poor vocabulary and rudimentary understanding of the grammar.
#--[[User:kalkilani|kalkilani]] Can read and write, good pronunciation, poor conversational skills. Moving to Egypt soon, so i need to learn now!

====[[Portal:Breton|Breton]]====
#--[[User:Luzmael]]  Would love to learn more !

====Cherokee====
#--[[User:Diogenes]]  Would Love to learn Cherokee, hard to find resources on the Language.
#--[[User:CQ]] Same goes for me. I'm only 3/16 Cherokee but would like to reconnect with the heritage. &amp;ndash;[[w:Cherokee|Tsa]]-[[w:Cherokee language|la]]-[[w:Cherokee syllabary|gi]]
#--[[User:Junesun]] I'd love to learn.

====[[Topic:Cantonese|Chinese (Cantonese)]]====
#--[[User:RichMac|RichMac]]
#--[[User:Uly|Uly]] 02:38, 25 September 2006 (UTC) Mandarin speaker... understand ''some'' Cantonese intuitively, wishes to speak.
#--[[User:mariehuynh|Marie Huynh]] speaks Cantonese with family; has limited schooling for formal vocabulary

====[[Portal:Chinese|Chinese]] (Mandarin)====
#--[[User:Ce garcon|Ce garcon]] 11:26, 18 September 2006 (UTC) Wo xiang xue Guoyu!
#--[[User:Jade Knight|Jade Knight]] 06:49, 7 October 2006 (UTC) Limited conversational skills.  Very interested.
#--[[User:Alexander Gerashchenko|Alexander Gerashchenko]] 18:04, 10 October 2006 (UTC) I want to expand my limited knowledge of Chinese.
#--[[User:godoflight|godoflight]] 14:52, 16 October 2006 (UTC) I learn chinese in school and want to put it into practice.
#--[[User:Fr Bill]] 5 yrs in China; read, write, know all grammar, expanding vocabulary; need spoken practice
#----[[User:Danaman5|Danaman5]] 06:37, 29 October 2006 (UTC) I study Chinese at my university and have been to China.  I would say I have an Intermediate, bordering on advanced level of learning, and would be happy to learn more or teach what I already know to others.
#--[[User:Taishakutin|Taishakutin]] I have an intermediate grasp of Mandarin Chinese and can write around 2500 characters. My pronunciation is OK, though my tones need more work. Happy to practise with people online by webchat. Currently residing in Beijing, China.
#--[[User:Maxibons|Maxibons]] I know some basic Mandarin but I'd love to become fluent eventually, so I'd love to learn as soon as possible! I'm going to China next Summer and I want to be able to speak at least a bit of Mandarin.

====[[Portal:Cornish|Cornish]]====
#--[[User:Luzmael]]  I am very interested.

====[[Portal:Tolkien languages|Elvish (Quenya (High-elven) and Sindarin (Grey-elven))]]====
*Please add your name at the [[Elvish stream]].

====[[Portal:English Language|English]]====
#--[[User:Javier José Moreno Tovar18|Javier José Moreno Tovar18]]

====[[Esperanto]]====
#--[[User:Balloonguy|Balloonguy]] 20:14, 22 August 2006 (UTC) Know some basic grammer.
#arttic00 i'm willing to learn
#craasnibooi- i would like to speak Esperanto

====[[Portal:French|French]]====
*Please add your name at the [[French_stream#Participants|French Stream]].

====Gaelic====
#--[[User:Soulaegis|Soulaegis]] 14:42, 10 April 2006 (UTC)
#--[[User:Limetom|Limetom]] 06:48, 23 July 2006 (UTC) I'd like to learn Irish, but I have no clue where to start.
#--[[User:DakeDesu|DakeDesu]] 16:11, 2nd August 2006 (MST) I wouldn't mind knowing my roots.
#--[[User:Mathboy965|Mathboy965]] 17:14, 19 October 2006 (UTC) Would like to learn Irish.  It just sounds really cool.
#--[[User:Door| Door]] 23:21, 22 October 2006 (UTC) I can speak Irish fairly well. Slightly interested in teaching.
#--[[User:ptal89| ptal89]] 7:27, 1 November 2006 (EST) I would really like to learn Irish. The college I'm planning to attend doesn't have the course.
#--[[User:Fluffysockmonster|Fluffysockmonster]] 06:56, 12 May 2007 (UTC)I would '''LOVE''' to learn gaelic, but none of the universities I would consider going to here in Australia teach it
#--[[User:Scorpio]] 6:00 PM IST March 18, 2011. Would love to learn all Gaelic languages. I like learning foreign languages.
#--[[User:EmmaMacD789|EmmaMacD789]] 10:59, 14 November (UTC) Very interested in Gaelic and foreign languages as a whole.

====Georgian====
#--[[User:Malafaya|Malafaya]] 16:49, 4 October 2006 (UTC) - Very beginner stage.

====[[Portal:German|German]]====
see [[German stream]]

====Greek====
#--[[User:Alexander Gerashchenko|Alexander Gerashchenko]] 18:04, 10 October 2006 (UTC) I know how to read the letters (as well as their combinations), but my knowledge of Greek grammar and vocabulary is very small.
#--[[User:CQ|CQ]] 08:53, 8 June 2007 (UTC) - I use an Interlinear Greek New Testament as a core for [[Bible|Bible study]].
#--[[User:Nanda7|Nanda7]]I know all alphabets.But nothing about pronunciation and grammar.But I am very much interested to learn.

====[[Portal:Hebrew|Hebrew]]====
*Please add your name at the '''[[Portal:Hebrew/Hebrew stream|Hebrew Stream]]''' if you are interested in learning Hebrew.

====Hindi====
#--[[User:DivePeak]]  17:25 Monday 25 of September 2006 (gmt +12:00) Want to travel to India and would love to know some Hindi before I go.

====Icelandic====
#--[[User:Orpheo|Orpheo]] 12:49, 12 September 2006 (UTC) Begginer. Taking some really basic online lessons.
#--[[User:MNrykein|MNrykein]] 00:49, 10 June 2011 (UTC) -- Very basic beginner.  Read the WikiBooks book and taking basic online lessons.
#--[[User:EmmaMacD789|EmmaMacD789]] 10:58, 14 November (UTC) Beginner. Looking through some basic online lessons.

====[[Portal:Italian|Italian]]====
#--[[User:Uly|Uly]] 02:36, 25 September 2006 (UTC) False beginner.  Speaks French and able to understand some Italian even though I never learned it.
#--[[User:Mathboy965|Mathboy965]] 17:12, 19 October 2006 (UTC) Speak Spanish and able to understand some Italian.
#--[[User:Jaakuuta|&lt;b&gt;JoNNY&lt;/b&gt;]] 18:58, 26 October 2006 (UTC) I have a friend whose family speaks Italian, I've studied a bit of the main latin-based languages, and can understand Spanish the best.
#[[User:NewBeginning|NewBeginning]] 06:05, 30 October 2006 (UTC) I'm somewhat interested in this language, but I know nothing about it. I speak English and am in my second year of French (at my high school).

====[[Japanese stream|Japanese]]====
See the [[Portal:Japanese|Japanese topic]] page.

====[[Portal:Korean|Korean]]====
#--[[User:Ce garcon|Ce garcon]] 11:26, 18 September 2006 (UTC) Got fairly good basic Korean! neomu neomu kongbu sipeoyo! I really want to learn!
#--[[User:Enni84|Enni84]] 22 September 2006 - Understand the basics, but lacking in vocabulary and grammar patterns
#--[[User:MyUsername|MyUsername]] 13:52, 22 September 2006 (UTC) Complete beginner.
#--[[User:Uly|Uly]] 02:36, 25 September 2006 (UTC) Beginner, just learnt the hangul (but still shaky).  Speaks Chinese and Japanese.

====Latin====
#--[[User:Skyler]] 18:19, 11 June 2008 (Central Time) I REALLY want to know Latin. I have a book and know some basic pronounciation rules and some words but VERY few.
#--[[User:Balloonguy|Balloonguy]] 20:14, 22 August 2006 (UTC) complete beginner.
#--[[User:Uly|Uly]] 02:36, 25 September 2006 (UTC) Never studied but can guess-read some.  Speaks French.
#--[[User:Jade Knight|Jade Knight]] 06:52, 7 October 2006 (UTC)Very limited knowledge; was given a few weeks on it in a French class.  Speak French.
#--[[User:Alexander Gerashchenko|Alexander Gerashchenko]] 18:04, 10 October 2006 (UTC) &quot;Advanced beginner&quot;
#--[[User:Absynthe|Absynthe]] 06:24, 26 October 2006 (UTC)  Two years of it in high school, but that was so many decades ago.
#--[[User:Jaakuuta|JonJon]] 19:01, 26 October 2006 (UTC) I know a little bit about latin from studying latin-based languages and from opera-rock ballads and ancient hymns
#--[[User:Dante|Dante]] 05:01, 28 October 2006 (UTC)
#[[User:NewBeginning|NewBeginning]] 06:00, 30 October 2006 (UTC) Total beginner, know English (obviously) and am learning French (in high school, 2nd year).
#--[[User:Dlhel|Dlhel]] 05:20, 28 March 2007 (UTC)  Two years of it in jr high, but decades ago. Speak French and Spanish.
#--[[User:Wiki of One|Wiki of One]] 11:32, 4 September 2007 (UTC) Mostly a beginner with a little French.
#--[[User:Basekid|Basekid]] 19:50, 22 November 2007 (GST + 12) No previous knowledge. Know Dutch and English
#--[[User:Ketaikeon|Ketaikeon]] 16:52, 8 March 2009 (UTC) Is currently in 5th year of Latin (Latin IV); has completed the Ecce 
#--[[User:Joejill67|Joejill67]] 07:57, 29 January 2010 (UTC) I am a complete beginner.

====Lojban====
#--[[User:Orpheo|Orpheo]] 12:49, 12 September 2006 (UTC) Just started basic lessons. 

====Luganda====
#--[[User:KKinene|KKinene]] I would like to improve my Luganda and to help create a Luganda Department in the Foreign language Department.

====Norman====
#--[[User:Jade Knight|Jade Knight]] 07:00, 7 October 2006 (UTC) Can read Norman fairly proficiently.  Very limited writing skills, almost no speaking ability.  I'm particularly interested in Jersey Norman (Jèrriais).  Proficient in French.

==== Pitcairnese ====
#--[[User:Skyler]] 18:22, 11 June 2008 (central time) I nearly desperatley want to learn it but there isn't anything out there to help. On the rare occasion that there's a website with some words/phrases, there aren't many words and there isn't any pronouncation key(s). There, also, are never any explanations on grammer or anything.
::Have you looked at [[w:Pitkern]]?  There's also a Wikipedia in Norfolk/Pitkern.  It may be worthwhile to head there and ask if anyone's willing to come over here and teach you.  [[User:Jade Knight|The Jade Knight]] 16:51, 3 September 2008 (UTC)

====[[Portal:Quechua|Quechua]]====
#--[[User:Elnole|Elnole]] 17:16, 28 October 2006 (UTC) I only know grammar, basics and some vocabulary. I want to become fluent.
#--[[User:Luzmael|Luzmael]] 07:54, 30 November 2007 (UTC) Working on it !

====Romanian====
#--[[User:Opiaterein|Opiaterein]] 18:04, 3 May 2007 (UTC) Started learning a month or two ago. Good with the basics, but would like to continue learning more advanced grammar, etc.

====[[Portal:Róng|Róng (Lepcha)]]====
#--[[User:Otvm|Otvm]] 17:15, 14 July 2018 (UTC) I have been looking at various resources, and I would like to learn more, but the amount of resources is so limited.

====Russian====
#--[[User:Jack30491|Jack30491]] 05:11, 26 September 2006 (PST) KNow alphabet but would like to become fluent.
#[[User:Xlbnushk|Xlbnushk]] 17:55, 28 October 2006 (UTC) -- I was born in Russia, but haven't used the language much at all since I left. I could get it back up and running fairly quickly if there were somebody with whom I could converse at my waning level...
#'''[[User:craasnibooi|craasnibooi]]''' I know three words, thats it. However, I have friends who are native speakers, and I'd like to impress them when they come back in the Fall.
#[[User:Zim|Zim]] 16:15, 27 May 2007 (UTC) I know practically nothing about the Russian language, but I would like to learn it, since I travel a lot.
#--[[User:cyojoe]] 2:40, 8 August 2007 (PST) Complete beginner.
#--[[User:Levtchenkov]] 12:29, 18 April 2008 (PST) Hi I am from Russia and I am fluent in Russian, I am also quite interested in linguistics, I want to contribute to the learning project and perhaps write some articles on it, if anyone is interested in the same thing please let me know, we can coordinate.
#--[[User:JosepVirgili|JosepVirgili]] 18:34, 9 November 2010 (UTC) Hi I'm from Catolonia but currently living in the United Kingdom. I've just begun to learn Russian and I would like to become more fluent.

====[[Portal:Spanish|Spanish]]====
*Please add your name at the [[Portal:Spanish/Spanish stream|Spanish Stream]] if you are interested in Spanish.
*Also, you can check the [[Spanish/Registration|old list of participants]].

====Sanskrit====
#--[[User:Uly|Uly]] 02:36, 25 September 2006 (UTC) Studied the basics before but forgot nearly everything due to inpractice.  Knows the script but not very proficient.

====Swahili====
#--[[[w:User:Jggouvea|Jggouvea]]] 14:43, 31 October 2006 (UTC) absolute beginner.

====Tamazight====
#--[[user:Isis_pt]] I only know a couple of words because my boyfriend is Amazigh. I'd like to learn the language. 02 Sept 2007

====[[Portal:Tibetan|Tibetan]]====
#--[[user:B9 hummingbird hovering|B9 hummingbird hovering]]
# [[user:walterdzog|walterdzog]] - Walter Perez - Caracas - Venezuela -  learning to use this tool and interested in learning tibetan, mainly for appreciating more the practice texts and also Dzogchen texts, very promising and interesting initiative.
#[[User:Karma_Dorje|Karma_Dorje]]
#[[user:Chozang|Chozang]]: I am very interested by this project!
#[[PalmdaleHermit]]: I have been amazed by the Dalia Lama for many years and as such I would like to learn Tibetan to perhaps help in some small way to preserve their legacy to mankind.
#[[User:Rousse]]: I'm learning Classical Tibetan already but would like to progress with the colloquial language too.
#[[User:Akatararyo|AkataraRyo]]: I am also very interested in learning!
#[[User:PFStevenson32|PFStevenson32]]: I am also very interesting in learning Tibetan. Thanks!
#[[User:Pawo-pawo|Pawo-pawo]]: very beginner. Only writing alphabet and little reading

====Ukrainian====
#--[[User:Alexander Gerashchenko|Alexander Gerashchenko]] 18:04, 10 October 2006 (UTC) I can understand Ukrainian, but I am far from being perfect in speaking it. 

====[[Portal:Vietnamese|Vietnamese]]====
#[[User:Brett_Johnston|Brett Johnston]]: I'm learning this language.

====Welsh====
#--[[User:Jade Knight|Jade Knight]] 06:55, 7 October 2006 (UTC) Conversational (in theory; I've never spoken the language with a native), but with difficulty.
#--[[User:Fluffysockmonster|Fluffysockmonster]] 06:59, 12 May 2007 (UTC)Would like to learn welsh
#--[[User:Luzmael]]  I am very interested.

===Experienced Participants===
If you can help others learn a language, describe your language abilties below:

====[[Arabic]]====
#-- [[User:212.123.21.178|212.123.21.178]] I am ready to write 30 modules Classical Arabic Language Course. Classical Arabic is vocabulary and grammar used by Quran, The Holy Book of Islam.
#--[[User: Fr Bill]] 14 yrs in Sudan; fluent in reading,writing,speaking; taught 3 yrs; need practice speaking

====Bosnian====
#--[[User:Ђорђе Д. Божовић|Ђорђе Д. Божовић]] 23:17, 11 November 2005 (UTC) (native speaker, but I recommend to others not to start learning Bosnian, but Serbian or Croatian first, because knowing Serbian or Croatian means that you also know Bosnian very well. That's a friendly and teacher's advice. See [[Serbian:Introduction|this page]] for further information on the Serbian-Croatian-Bosnian languages relation)

====Croatian====
#--[[User:Ђорђе Д. Божовић|Ђорђе Д. Божовић]] 23:17, 11 November 2005 (UTC) (native speaker)

====Danish====
#--Anders Hjortshøj, native speaker. Contact at: anders.malle@gmail.com

====[[Portal:Tolkien languages|Elvish (Quenya (High-elven) and Sindarin (Grey-elven))]]====
*Please add your name at the [[Elvish stream]].

====[[Portal:French|French]]====
*Please add your name '''at the [[French_stream#Participants|French Stream]]''' if you are interested in French.

====[[Portal:Hebrew|Hebrew]]====
*Please add your name at the '''[[Portal:Hebrew/Hebrew stream|Hebrew Stream]]''' if you are interested in teaching Hebrew.

====Icelandic====
#--[[User:BiT|BiT]] I'm a native speaker of icelandic, and I'm ready to help anyone with any problem in icelandic as far as my skills can carry me. (Native speaker)

====[[Portal:Italian|Italian]]====
#--[[User:Elistir|Elistir]] &lt;sup&gt;[[User_talk:Elistir|talk]]&lt;/sup&gt; 13:13, 22 October 2006 (UTC) Native speaker.
#--[[User:NSPossum|NSPossum]] 21:16 25 April 2007 (UTC) I have a profound interest of foreign (primarily european) languages. I have studied Italian for four years and I am furthering my studies of Italian at University. I will contribute what I have learned to Wikiversity.
#--[[User:Isis_pt|Isis_pt]] 02 September 2007 Learning new languages is a hobby. Learned italian until intermediate level and am now living in Italy. I can also speak english, french, german, spanish (basic) and portuguese (native). Should someone need help, just get in touch!

====[[Japanese stream|Japanese]]====
See the [[Portal:Japanese|Japanese topic]] page.

====[[Portal:Klingon|Klingon]]====
#--[[User:Jonathan Webley|Jonathan Webley]] I'm a non-native speaker of this constructed language, but learning fast.

====Latin====
#--[[User:Cidmarquez|Jason Fossella]] 03:19, 26 March 2013 (UTC) Quasi-native speaker (started when I was 8, so that's as close as it comes). Doctoral candidate in medieval history. 
#--[[User:Ђорђе Д. Божовић|George D. Bozovic]] &lt;sup&gt;[[User talk:Ђорђе Д. Божовић|talk]]&lt;/sup&gt; 23:43, 25 March 2006 (UTC) Non-native speaker. :) However, still learning some more advanced areas of the language.
#--[[User:Limetom|Limetom]] 06:43, 23 July 2006 (UTC) Non-native speaker (who is?)  Four years of near college-level courses.  Willing to help when I can.

====Norwegian====
#--[[User:Slaattnes|Slaattnes]] I am a native speaker of norwegian, and fluent in English.

====[[Portal:Picard|Picard]]====
#--[[User:Geoleplubo|Géo Leplubo]] (native speaker)

====Polish====
#--[[User:Rowan|Rowan]] 15:17, 07-10-2006 - Native speaker of both Polish and English (bilingual), hence willing to help with either.

====[[Portal:Portuguese|Portuguese]]====
#--[[User:Malafaya|Malafaya]] 16:52, 4 October 2006 (UTC) - Standard/European Portuguese native speaker.
#--[[User:AwenStormFool|AwenStormFool]] 17:14, 06 October 2006 (UTC) - Native lusophonic, a professional writer in this language. I am also very fluent in English and have basic knowledge in other European languages.

====Romanian====
#--[[User:Alexmandru|Alexandru Dan Mândru]] - Native speaker of Romanian with basic knowledge of educational studies; German - intermmediate, English - advanced.

====Russian====
#--[[User:Alexander Gerashchenko|Alexander Gerashchenko]] 18:04, 10 October 2006 (UTC) Native speaker.
====Serbian====
#--[[User:Ђорђе Д. Божовић|Ђорђе Д. Божовић]] 23:17, 11 November 2005 (UTC) (native speaker. See [[Serbian|Serbian Language Textbook]])

====Serbo-Croatian====
#--[[User:Ђорђе Д. Божовић|Ђорђе Д. Божовић]] 23:17, 11 November 2005 (UTC) (native speaker. Here's some advice: Knowing Serbo-Croatian language would mean that you know Serbian, Croatian, and Bosnian, too, because those are not different languages, but one single language which is called in four different ways. Some small differences really exist between these languages, but Serbo-Croatian covers all the variants, and it is the most of all recommended for learning. See [[Portal:Serbo-Croatian|Serbo-Croatian Textbook]] and [[Introduction to Serbo-Croatian]] for further information about these languages and their &quot;differences&quot;.)

====[[Portal:Spanish|Spanish]]====
*Please add your name at the [[Portal:Spanish/Spanish stream|Spanish Stream]] if you are interested in Spanish.
*Also, you can check the [[Spanish/Registration|old list of participants]].

==Wikibooks On Foreign Languages==
: ''See [[b:Subject:Languages]] for listings of these.''

;Bikol
: [[b:Bikol|Bikol]] is already a complete book and is ready to use. The author made sure that it can easily be understood and relate to by non-native speakers.
 
;French
: [[b:French|French]]

;German
: [[b:German|German Language Textbook]] is very nice-looking and is good for learning German.
: [[b:BLL German|Bite-sized lessons for German]] is a new approach for those who easily feel overwhelmed with regular textbooks. Some lessons are ready, more contributions needed.

;Greek
: [[b:Modern Greek|Modern Greek]] provides lessons in Greek as it is spoken today. The old course is accessible but presently being re-worked, help would be appreciated. Meanwhile, a new kind of introduction to the Greek alphabet is already more than half-way complete.

;Japanese
: [[b:Japanese|Japanese]] After multiple rewrites of this book, the better half of a year has seen steady progress stitching together the patches left by several teams of contributors. The current state is poor, and improvements are slowing as current contributors are faced with the limits of their own Japanese abilities. There are several modules on specific grammatical terms and a number of vocabulary lists. A list of grammar points roughly for JLPT4 (N5) has been compiled but not ordered into a lesson plan. Experienced hands welcomed. --[[User:Swift|Swift]] 11:35, 24 February 2009 (UTC)

;[[Portal:Klingon|Klingon]]
: [[b:Klingon|Klingon]] is very much incomplete, but a start nevertheless..

;Korean
: [[b:Korean|Korean]] is wikibook with some of the basics of the language, but still seriously lacking in good lessons etc.

;Persian
: If you go to the [[b:Farsi|Persian Wikibook]], you will find the first 21 lessons in a course for learning Persian language. When you click on the words written in Persian, using ashampoo, it is possible to hear how the word is pronounced.  This is a start to learning the language, but a tutor's support is recommended.

;Portuguese
: Here is the [[b:Portuguese|Portuguese Language Wikibook]]. There is a comprehensive series of chapters on particular grammar points, as well as a partially completed language learning course.

;Russian
: [[b:Russian|Russian Wikibook]]

;Serbian/Serbo-Croatian
: Learning this beautiful South Slavic language would open the whole spectrum of opportunities for learning other Slavic languages, such as Russian, Polish, Bulgarian, Slovenian, Czech, etc. The [[b:Serbian|Serbian]] Wikibook offers an introduction to the language, a grammar of the language, and many lessons and text for reading and practicing Serbian/Serbo-Croatian.

;Spanish
: Spanish is a beautiful language with an intuitive system of orthography and conjugation. The [[b:Spanish|Spanish Wikibook]] offers an introduction and lessons to the language.

;Tagalog
: The [[b:Tagalog]] Wikibook is being developed. We need your input on exercises, your questions, your ideas on what you want to learn! Written in part by a native speaker, with audio clips and pronounciation help on the way. We will be your textbook and your teacher!

[[Category:Foreign Language Learning]]
[[Category:Interlingual Beta Club]]
[[Category:Languages and Language families]]
[[Category: Multilingual Studies]]</text>
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      <text bytes="25059" sha1="47834ez8tpkdugisibqmnpurg8ge22p" xml:space="preserve">Welcome to the Wikiversity Language Coordination page, part of [[Portal:Foreign Language Learning|Foreign Language Learning]]!  Users are encouraged to sign up under the languages they are interested in being involved with here.

==Divisions and Departments==
Divisions and Departments of the Center exist on pages in &quot;topic&quot; namespace. Start the name of departments with the &quot;Topic:&quot; prefix; departments reside in the [[Wikiversity:Namespaces|Topic: namespace]]. Departments and divisions link to learning materials and learning projects. Divisions can link subdivisions or to departments. For more information on schools, divisions and departments look at the [[Wikiversity:Naming_conventions|Naming Conventions]].

* [[Portal:Brythonic Celtic Languages Division|Brythonic Celtic Languages Division]]
* [[Portal:English Language|English Language Division]]
* [[Portal:French|French Department]]
* [[Portal:Hebrew|Hebrew Language Division]]
* [[Portal:Klingon|Klingon Language Department]]
* [[Portal:Picard|Picard Department]]
* [[Portal:Tolkien languages|Tolkien Languages Department]]
* [[Portal:Bikol|Bikol Language Department]]

==Active participants==
Please register interest in a language by listing the language you wish to learn or that you are able to teach and your name below. (To edit the page, click on &quot;Edit This Page&quot; up on the top of this page). Please also mention the level of language you already have.

===Participants wanting to learn a language===
====[[Portal:Arabic|Arabic]]====
#--[[User:Christian Newman|Christian Newman]] 18:12, 8 April 2011 (UTC)
#--[[user:Who Ph.D|Who Ph.D]] I know arabic script and pronounciation, but little meaning. That's something that I would like to learn. 11 July 2006
#--[[User:Uly|Uly]] 02:36, 25 September 2006 (UTC) Complete beginner, trying to learn the script.
#--[[User:boomthescholar]] I am a complete beginner. Want to learn from beginning how to read and write arabic. 13 October 2006
#--[[User:ninja]] I too am a complete beginner but am interested in learning to speak Arabic.
#--[[User:Forensicgeek]] I wish to persue an English-teaching career in Arabic countries and would like to learn the language.
#--[[User:Fr Bill]] 14 yrs in Sudan; read,write,speak fluently; taught for 3 yrs; would like practice
#--[[User:Balloonguy|Balloonguy]] know script and pronounciation
#--[[User:delthobs|delthobs]] I am a beginner also and would like to learn the language
#--[[User:danshelb|danshelb]] I'm an utter beginner but am interested in learning, particularly the written side.
#--[[User:Taishakutin|Taishakutin]] I can read and write Arabic and have it dictated to me and I have a good accent but I have a fairly poor vocabulary and rudimentary understanding of the grammar.
#--[[User:kalkilani|kalkilani]] Can read and write, good pronunciation, poor conversational skills. Moving to Egypt soon, so i need to learn now!

====[[Portal:Breton|Breton]]====
#--[[User:Luzmael]]  Would love to learn more !

====Cherokee====
#--[[User:Diogenes]]  Would Love to learn Cherokee, hard to find resources on the Language.
#--[[User:CQ]] Same goes for me. I'm only 3/16 Cherokee but would like to reconnect with the heritage. &amp;ndash;[[w:Cherokee|Tsa]]-[[w:Cherokee language|la]]-[[w:Cherokee syllabary|gi]]
#--[[User:Junesun]] I'd love to learn.

====[[Topic:Cantonese|Chinese (Cantonese)]]====
#--[[User:RichMac|RichMac]]
#--[[User:Uly|Uly]] 02:38, 25 September 2006 (UTC) Mandarin speaker... understand ''some'' Cantonese intuitively, wishes to speak.
#--[[User:mariehuynh|Marie Huynh]] speaks Cantonese with family; has limited schooling for formal vocabulary

====[[Portal:Chinese|Chinese]] (Mandarin)====
#--[[User:Ce garcon|Ce garcon]] 11:26, 18 September 2006 (UTC) Wo xiang xue Guoyu!
#--[[User:Jade Knight|Jade Knight]] 06:49, 7 October 2006 (UTC) Limited conversational skills.  Very interested.
#--[[User:Alexander Gerashchenko|Alexander Gerashchenko]] 18:04, 10 October 2006 (UTC) I want to expand my limited knowledge of Chinese.
#--[[User:godoflight|godoflight]] 14:52, 16 October 2006 (UTC) I learn chinese in school and want to put it into practice.
#--[[User:Fr Bill]] 5 yrs in China; read, write, know all grammar, expanding vocabulary; need spoken practice
#----[[User:Danaman5|Danaman5]] 06:37, 29 October 2006 (UTC) I study Chinese at my university and have been to China.  I would say I have an Intermediate, bordering on advanced level of learning, and would be happy to learn more or teach what I already know to others.
#--[[User:Taishakutin|Taishakutin]] I have an intermediate grasp of Mandarin Chinese and can write around 2500 characters. My pronunciation is OK, though my tones need more work. Happy to practise with people online by webchat. Currently residing in Beijing, China.
#--[[User:Maxibons|Maxibons]] I know some basic Mandarin but I'd love to become fluent eventually, so I'd love to learn as soon as possible! I'm going to China next Summer and I want to be able to speak at least a bit of Mandarin.

====[[Portal:Cornish|Cornish]]====
#--[[User:Luzmael]]  I am very interested.

====[[Portal:Tolkien languages|Elvish (Quenya (High-elven) and Sindarin (Grey-elven))]]====
*Please add your name at the [[Elvish stream]].

====[[Portal:English Language|English]]====
#--[[User:Javier José Moreno Tovar18|Javier José Moreno Tovar18]]

====[[Esperanto]]====
#--[[User:Balloonguy|Balloonguy]] 20:14, 22 August 2006 (UTC) Know some basic grammer.
#arttic00 i'm willing to learn
#craasnibooi- i would like to speak Esperanto

====[[Portal:French|French]]====
*Please add your name at the [[French_stream#Participants|French Stream]].

====Gaelic====
#--[[User:Soulaegis|Soulaegis]] 14:42, 10 April 2006 (UTC)
#--[[User:Limetom|Limetom]] 06:48, 23 July 2006 (UTC) I'd like to learn Irish, but I have no clue where to start.
#--[[User:DakeDesu|DakeDesu]] 16:11, 2nd August 2006 (MST) I wouldn't mind knowing my roots.
#--[[User:Mathboy965|Mathboy965]] 17:14, 19 October 2006 (UTC) Would like to learn Irish.  It just sounds really cool.
#--[[User:Door| Door]] 23:21, 22 October 2006 (UTC) I can speak Irish fairly well. Slightly interested in teaching.
#--[[User:ptal89| ptal89]] 7:27, 1 November 2006 (EST) I would really like to learn Irish. The college I'm planning to attend doesn't have the course.
#--[[User:Fluffysockmonster|Fluffysockmonster]] 06:56, 12 May 2007 (UTC)I would '''LOVE''' to learn gaelic, but none of the universities I would consider going to here in Australia teach it
#--[[User:Scorpio]] 6:00 PM IST March 18, 2011. Would love to learn all Gaelic languages. I like learning foreign languages.
#--[[User:EmmaMacD789|EmmaMacD789]] 10:59, 14 November (UTC) Very interested in Gaelic and foreign languages as a whole.

====Georgian====
#--[[User:Malafaya|Malafaya]] 16:49, 4 October 2006 (UTC) - Very beginner stage.

====[[Portal:German|German]]====
see [[German stream]]

====Greek====
#--[[User:Alexander Gerashchenko|Alexander Gerashchenko]] 18:04, 10 October 2006 (UTC) I know how to read the letters (as well as their combinations), but my knowledge of Greek grammar and vocabulary is very small.
#--[[User:CQ|CQ]] 08:53, 8 June 2007 (UTC) - I use an Interlinear Greek New Testament as a core for [[Bible|Bible study]].
#--[[User:Nanda7|Nanda7]]I know all alphabets.But nothing about pronunciation and grammar.But I am very much interested to learn.

====[[Portal:Hebrew|Hebrew]]====
*Please add your name at the '''[[Portal:Hebrew/Hebrew stream|Hebrew Stream]]''' if you are interested in learning Hebrew.

====Hindi====
#--[[User:DivePeak]]  17:25 Monday 25 of September 2006 (gmt +12:00) Want to travel to India and would love to know some Hindi before I go.

====Icelandic====
#--[[User:Orpheo|Orpheo]] 12:49, 12 September 2006 (UTC) Begginer. Taking some really basic online lessons.
#--[[User:MNrykein|MNrykein]] 00:49, 10 June 2011 (UTC) -- Very basic beginner.  Read the WikiBooks book and taking basic online lessons.
#--[[User:EmmaMacD789|EmmaMacD789]] 10:58, 14 November (UTC) Beginner. Looking through some basic online lessons.

====[[Portal:Italian|Italian]]====
#--[[User:Uly|Uly]] 02:36, 25 September 2006 (UTC) False beginner.  Speaks French and able to understand some Italian even though I never learned it.
#--[[User:Mathboy965|Mathboy965]] 17:12, 19 October 2006 (UTC) Speak Spanish and able to understand some Italian.
#--[[User:Jaakuuta|&lt;b&gt;JoNNY&lt;/b&gt;]] 18:58, 26 October 2006 (UTC) I have a friend whose family speaks Italian, I've studied a bit of the main latin-based languages, and can understand Spanish the best.
#[[User:NewBeginning|NewBeginning]] 06:05, 30 October 2006 (UTC) I'm somewhat interested in this language, but I know nothing about it. I speak English and am in my second year of French (at my high school).

====[[Japanese stream|Japanese]]====
See the [[Portal:Japanese|Japanese topic]] page.

====[[Portal:Korean|Korean]]====
#--[[User:Ce garcon|Ce garcon]] 11:26, 18 September 2006 (UTC) Got fairly good basic Korean! neomu neomu kongbu sipeoyo! I really want to learn!
#--[[User:Enni84|Enni84]] 22 September 2006 - Understand the basics, but lacking in vocabulary and grammar patterns
#--[[User:MyUsername|MyUsername]] 13:52, 22 September 2006 (UTC) Complete beginner.
#--[[User:Uly|Uly]] 02:36, 25 September 2006 (UTC) Beginner, just learnt the hangul (but still shaky).  Speaks Chinese and Japanese.

====Latin====
#--[[User:Skyler]] 18:19, 11 June 2008 (Central Time) I REALLY want to know Latin. I have a book and know some basic pronounciation rules and some words but VERY few.
#--[[User:Balloonguy|Balloonguy]] 20:14, 22 August 2006 (UTC) complete beginner.
#--[[User:Uly|Uly]] 02:36, 25 September 2006 (UTC) Never studied but can guess-read some.  Speaks French.
#--[[User:Jade Knight|Jade Knight]] 06:52, 7 October 2006 (UTC)Very limited knowledge; was given a few weeks on it in a French class.  Speak French.
#--[[User:Alexander Gerashchenko|Alexander Gerashchenko]] 18:04, 10 October 2006 (UTC) &quot;Advanced beginner&quot;
#--[[User:Absynthe|Absynthe]] 06:24, 26 October 2006 (UTC)  Two years of it in high school, but that was so many decades ago.
#--[[User:Jaakuuta|JonJon]] 19:01, 26 October 2006 (UTC) I know a little bit about latin from studying latin-based languages and from opera-rock ballads and ancient hymns
#--[[User:Dante|Dante]] 05:01, 28 October 2006 (UTC)
#[[User:NewBeginning|NewBeginning]] 06:00, 30 October 2006 (UTC) Total beginner, know English (obviously) and am learning French (in high school, 2nd year).
#--[[User:Dlhel|Dlhel]] 05:20, 28 March 2007 (UTC)  Two years of it in jr high, but decades ago. Speak French and Spanish.
#--[[User:Wiki of One|Wiki of One]] 11:32, 4 September 2007 (UTC) Mostly a beginner with a little French.
#--[[User:Basekid|Basekid]] 19:50, 22 November 2007 (GST + 12) No previous knowledge. Know Dutch and English
#--[[User:Ketaikeon|Ketaikeon]] 16:52, 8 March 2009 (UTC) Is currently in 5th year of Latin (Latin IV); has completed the Ecce 
#--[[User:Joejill67|Joejill67]] 07:57, 29 January 2010 (UTC) I am a complete beginner.

====Lojban====
#--[[User:Orpheo|Orpheo]] 12:49, 12 September 2006 (UTC) Just started basic lessons. 

====Luganda====
#--[[User:KKinene|KKinene]] I would like to improve my Luganda and to help create a Luganda Department in the Foreign language Department.

====Norman====
#--[[User:Jade Knight|Jade Knight]] 07:00, 7 October 2006 (UTC) Can read Norman fairly proficiently.  Very limited writing skills, almost no speaking ability.  I'm particularly interested in Jersey Norman (Jèrriais).  Proficient in French.

==== Pitcairnese ====
#--[[User:Skyler]] 18:22, 11 June 2008 (central time) I nearly desperatley want to learn it but there isn't anything out there to help. On the rare occasion that there's a website with some words/phrases, there aren't many words and there isn't any pronouncation key(s). There, also, are never any explanations on grammer or anything.
::Have you looked at [[w:Pitkern]]?  There's also a Wikipedia in Norfolk/Pitkern.  It may be worthwhile to head there and ask if anyone's willing to come over here and teach you.  [[User:Jade Knight|The Jade Knight]] 16:51, 3 September 2008 (UTC)

====[[Portal:Quechua|Quechua]]====
#--[[User:Elnole|Elnole]] 17:16, 28 October 2006 (UTC) I only know grammar, basics and some vocabulary. I want to become fluent.
#--[[User:Luzmael|Luzmael]] 07:54, 30 November 2007 (UTC) Working on it !

====Romanian====
#--[[User:Opiaterein|Opiaterein]] 18:04, 3 May 2007 (UTC) Started learning a month or two ago. Good with the basics, but would like to continue learning more advanced grammar, etc.

====[[Portal:Róng|Róng (Lepcha)]]====
#--[[User:Otvm|Otvm]] 17:15, 14 July 2018 (UTC) I have been looking at various resources, and I would like to learn more, but the amount of resources is so limited.

====Russian====
#--[[User:Jack30491|Jack30491]] 05:11, 26 September 2006 (PST) KNow alphabet but would like to become fluent.
#[[User:Xlbnushk|Xlbnushk]] 17:55, 28 October 2006 (UTC) -- I was born in Russia, but haven't used the language much at all since I left. I could get it back up and running fairly quickly if there were somebody with whom I could converse at my waning level...
#'''[[User:craasnibooi|craasnibooi]]''' I know three words, thats it. However, I have friends who are native speakers, and I'd like to impress them when they come back in the Fall.
#[[User:Zim|Zim]] 16:15, 27 May 2007 (UTC) I know practically nothing about the Russian language, but I would like to learn it, since I travel a lot.
#--[[User:cyojoe]] 2:40, 8 August 2007 (PST) Complete beginner.
#--[[User:Levtchenkov]] 12:29, 18 April 2008 (PST) Hi I am from Russia and I am fluent in Russian, I am also quite interested in linguistics, I want to contribute to the learning project and perhaps write some articles on it, if anyone is interested in the same thing please let me know, we can coordinate.
#--[[User:JosepVirgili|JosepVirgili]] 18:34, 9 November 2010 (UTC) Hi I'm from Catolonia but currently living in the United Kingdom. I've just begun to learn Russian and I would like to become more fluent.

====[[Portal:Spanish|Spanish]]====
*Please add your name at the [[Portal:Spanish/Spanish stream|Spanish Stream]] if you are interested in Spanish.
*Also, you can check the [[Spanish/Registration|old list of participants]].

====Sanskrit====
#--[[User:Uly|Uly]] 02:36, 25 September 2006 (UTC) Studied the basics before but forgot nearly everything due to inpractice.  Knows the script but not very proficient.

====Swahili====
#--[[[w:User:Jggouvea|Jggouvea]]] 14:43, 31 October 2006 (UTC) absolute beginner.

====Tamazight====
#--[[user:Isis_pt]] I only know a couple of words because my boyfriend is Amazigh. I'd like to learn the language. 02 Sept 2007

====[[Portal:Tibetan|Tibetan]]====
#--[[user:B9 hummingbird hovering|B9 hummingbird hovering]]
# [[user:walterdzog|walterdzog]] - Walter Perez - Caracas - Venezuela -  learning to use this tool and interested in learning tibetan, mainly for appreciating more the practice texts and also Dzogchen texts, very promising and interesting initiative.
#[[User:Karma_Dorje|Karma_Dorje]]
#[[user:Chozang|Chozang]]: I am very interested by this project!
#[[PalmdaleHermit]]: I have been amazed by the Dalia Lama for many years and as such I would like to learn Tibetan to perhaps help in some small way to preserve their legacy to mankind.
#[[User:Rousse]]: I'm learning Classical Tibetan already but would like to progress with the colloquial language too.
#[[User:Akatararyo|AkataraRyo]]: I am also very interested in learning!
#[[User:PFStevenson32|PFStevenson32]]: I am also very interesting in learning Tibetan. Thanks!
#[[User:Pawo-pawo|Pawo-pawo]]: very beginner. Only writing alphabet and little reading

====Ukrainian====
#--[[User:Alexander Gerashchenko|Alexander Gerashchenko]] 18:04, 10 October 2006 (UTC) I can understand Ukrainian, but I am far from being perfect in speaking it. 

====[[Portal:Vietnamese|Vietnamese]]====
#[[User:Brett_Johnston|Brett Johnston]]: I'm learning this language.

====Welsh====
#--[[User:Jade Knight|Jade Knight]] 06:55, 7 October 2006 (UTC) Conversational (in theory; I've never spoken the language with a native), but with difficulty.
#--[[User:Fluffysockmonster|Fluffysockmonster]] 06:59, 12 May 2007 (UTC)Would like to learn welsh
#--[[User:Luzmael]]  I am very interested.

===Experienced Participants===
If you can help others learn a language, describe your language abilties below:

====[[Arabic]]====
#-- [[User:212.123.21.178|212.123.21.178]] I am ready to write 30 modules Classical Arabic Language Course. Classical Arabic is vocabulary and grammar used by Quran, The Holy Book of Islam.
#--[[User: Fr Bill]] 14 yrs in Sudan; fluent in reading,writing,speaking; taught 3 yrs; need practice speaking

====Bosnian====
#--[[User:Ђорђе Д. Божовић|Ђорђе Д. Божовић]] 23:17, 11 November 2005 (UTC) (native speaker, but I recommend to others not to start learning Bosnian, but Serbian or Croatian first, because knowing Serbian or Croatian means that you also know Bosnian very well. That's a friendly and teacher's advice. See [[Serbian:Introduction|this page]] for further information on the Serbian-Croatian-Bosnian languages relation)

====Croatian====
#--[[User:Ђорђе Д. Божовић|Ђорђе Д. Божовић]] 23:17, 11 November 2005 (UTC) (native speaker)

====Danish====
#--Anders Hjortshøj, native speaker. Contact at: anders.malle@gmail.com

====[[Portal:Tolkien languages|Elvish (Quenya (High-elven) and Sindarin (Grey-elven))]]====
*Please add your name at the [[Elvish stream]].

====[[Portal:French|French]]====
*Please add your name '''at the [[French_stream#Participants|French Stream]]''' if you are interested in French.

====[[Portal:Hebrew|Hebrew]]====
*Please add your name at the '''[[Portal:Hebrew/Hebrew stream|Hebrew Stream]]''' if you are interested in teaching Hebrew.

====Icelandic====
#--[[User:BiT|BiT]] I'm a native speaker of icelandic, and I'm ready to help anyone with any problem in icelandic as far as my skills can carry me. (Native speaker)

====[[Portal:Italian|Italian]]====
#--[[User:Elistir|Elistir]] &lt;sup&gt;[[User_talk:Elistir|talk]]&lt;/sup&gt; 13:13, 22 October 2006 (UTC) Native speaker.
#--[[User:NSPossum|NSPossum]] 21:16 25 April 2007 (UTC) I have a profound interest of foreign (primarily european) languages. I have studied Italian for four years and I am furthering my studies of Italian at University. I will contribute what I have learned to Wikiversity.
#--[[User:Isis_pt|Isis_pt]] 02 September 2007 Learning new languages is a hobby. Learned italian until intermediate level and am now living in Italy. I can also speak english, french, german, spanish (basic) and portuguese (native). Should someone need help, just get in touch!

====[[Japanese stream|Japanese]]====
See the [[Portal:Japanese|Japanese topic]] page.

====[[Portal:Klingon|Klingon]]====
#--[[User:Jonathan Webley|Jonathan Webley]] I'm a non-native speaker of this constructed language, but learning fast.

====Latin====
#--[[User:Cidmarquez|Jason Fossella]] 03:19, 26 March 2013 (UTC) Quasi-native speaker (started when I was 8, so that's as close as it comes). Doctoral candidate in medieval history. 
#--[[User:Ђорђе Д. Божовић|George D. Bozovic]] &lt;sup&gt;[[User talk:Ђорђе Д. Божовић|talk]]&lt;/sup&gt; 23:43, 25 March 2006 (UTC) Non-native speaker. :) However, still learning some more advanced areas of the language.
#--[[User:Limetom|Limetom]] 06:43, 23 July 2006 (UTC) Non-native speaker (who is?)  Four years of near college-level courses.  Willing to help when I can.

====Norwegian====
#--[[User:Slaattnes|Slaattnes]] I am a native speaker of norwegian, and fluent in English.

====[[Portal:Picard|Picard]]====
#--[[User:Geoleplubo|Géo Leplubo]] (native speaker)

====Polish====
#--[[User:Rowan|Rowan]] 15:17, 07-10-2006 - Native speaker of both Polish and English (bilingual), hence willing to help with either.

====[[Portal:Portuguese|Portuguese]]====
#--[[User:Malafaya|Malafaya]] 16:52, 4 October 2006 (UTC) - Standard/European Portuguese native speaker.
#--[[User:AwenStormFool|AwenStormFool]] 17:14, 06 October 2006 (UTC) - Native lusophonic, a professional writer in this language. I am also very fluent in English and have basic knowledge in other European languages.

====Romanian====
#--[[User:Alexmandru|Alexandru Dan Mândru]] - Native speaker of Romanian with basic knowledge of educational studies; German - intermmediate, English - advanced.

====Russian====
#--[[User:Alexander Gerashchenko|Alexander Gerashchenko]] 18:04, 10 October 2006 (UTC) Native speaker.
====Serbian====
#--[[User:Ђорђе Д. Божовић|Ђорђе Д. Божовић]] 23:17, 11 November 2005 (UTC) (native speaker. See [[Serbian|Serbian Language Textbook]])

====Serbo-Croatian====
#--[[User:Ђорђе Д. Божовић|Ђорђе Д. Божовић]] 23:17, 11 November 2005 (UTC) (native speaker. Here's some advice: Knowing Serbo-Croatian language would mean that you know Serbian, Croatian, and Bosnian, too, because those are not different languages, but one single language which is called in four different ways. Some small differences really exist between these languages, but Serbo-Croatian covers all the variants, and it is the most of all recommended for learning. See [[Portal:Serbo-Croatian|Serbo-Croatian Textbook]] and [[Introduction to Serbo-Croatian]] for further information about these languages and their &quot;differences&quot;.)

====[[Portal:Spanish|Spanish]]====
*Please add your name at the [[Portal:Spanish/Spanish stream|Spanish Stream]] if you are interested in Spanish.
*Also, you can check the [[Spanish/Registration|old list of participants]].

==Wikibooks On Foreign Languages==
: ''See [[b:Subject:Languages]] for listings of these.''

;Bikol
: [[b:Bikol|Bikol]] is already a complete book and is ready to use. The author made sure that it can easily be understood and relate to by non-native speakers.
 
;French
: [[b:French|French]]

;German
: [[b:German|German Language Textbook]] is very nice-looking and is good for learning German.
: [[b:BLL German|Bite-sized lessons for German]] is a new approach for those who easily feel overwhelmed with regular textbooks. Some lessons are ready, more contributions needed.

;Greek
: [[b:Modern Greek|Modern Greek]] provides lessons in Greek as it is spoken today. The old course is accessible but presently being re-worked, help would be appreciated. Meanwhile, a new kind of introduction to the Greek alphabet is already more than half-way complete.

;Japanese
: [[b:Japanese|Japanese]] After multiple rewrites of this book, the better half of a year has seen steady progress stitching together the patches left by several teams of contributors. The current state is poor, and improvements are slowing as current contributors are faced with the limits of their own Japanese abilities. There are several modules on specific grammatical terms and a number of vocabulary lists. A list of grammar points roughly for JLPT4 (N5) has been compiled but not ordered into a lesson plan. Experienced hands welcomed. --[[User:Swift|Swift]] 11:35, 24 February 2009 (UTC)

;[[Portal:Klingon|Klingon]]
: [[b:Klingon|Klingon]] is very much incomplete, but a start nevertheless..

;Korean
: [[b:Korean|Korean]] is wikibook with some of the basics of the language, but still seriously lacking in good lessons etc.

;Persian
: If you go to the [[b:Farsi|Persian Wikibook]], you will find the first 21 lessons in a course for learning Persian language. When you click on the words written in Persian, using ashampoo, it is possible to hear how the word is pronounced.  This is a start to learning the language, but a tutor's support is recommended.

;Portuguese
: Here is the [[b:Portuguese|Portuguese Language Wikibook]]. There is a comprehensive series of chapters on particular grammar points, as well as a partially completed language learning course.

;Russian
: [[b:Russian|Russian Wikibook]]

;Serbian/Serbo-Croatian
: Learning this beautiful South Slavic language would open the whole spectrum of opportunities for learning other Slavic languages, such as Russian, Polish, Bulgarian, Slovenian, Czech, etc. The [[b:Serbian|Serbian]] Wikibook offers an introduction to the language, a grammar of the language, and many lessons and text for reading and practicing Serbian/Serbo-Croatian.

;Spanish
: Spanish is a beautiful language with an intuitive system of orthography and conjugation. The [[b:Spanish|Spanish Wikibook]] offers an introduction and lessons to the language.

;Tagalog
:[[b:Tagalog|Tagalog]] Wikibook is being developed. We need your input on exercises, your questions, your ideas on what you want to learn! Written in part by a native speaker, with audio clips and pronounciation help on the way. We will be your textbook and your teacher!

[[Category:Foreign Language Learning]]
[[Category:Interlingual Beta Club]]
[[Category:Languages and Language families]]
[[Category: Multilingual Studies]]</text>
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    <title>Multilingual ways to say 'Hello'</title>
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      <text bytes="2012" sha1="jx7ribokbrims2pfef6h77zc45af954" xml:space="preserve">This is a list of greetings in various different languages (from the German Wikipedia):
*[[boro]]: खुलुम्बाइ (KHULUMBAI!)
*[[Bengali]]: &lt;big&gt;নমস্কার&lt;/big&gt; (Namaskar! - gesprochen: ''Nomoshkar'')
*[[Bulgarische Sprache|Bulgarian]]: Здравей!, Здрасти! (Duzform), Здравейте! (Siezform)
*[[Chinese]]: {{lang|zh|你好}}!
*[[Czech]]: Ahoj!
*[[English]]: Hello!, Hi!
*[[Esperanto]]: Saluton!
*[[Estnische Sprache|Estnisch]]: Tere!
*[[Danish]]: Hej!
*[[Dutch]]: Hallo!, Hoi!
*[[Farsi]]: Salam!
*[[Fidschi (Sprache)|Fidschi]]: Bula!
*[[Finnish]]: Terve!
*[[Flemish]]: Hallo!
*[[French]]: Salut!, Bonjour !
*[[German]]: Hallo!
*[[Greek]]: Γειά!
*[[Hawaiian]]: [[Aloha]]!
*[[Hebrew]]: !שלום
*[[Hindi]]: नमस्ते (Namaste!)
*[[Italian]]: Ciao! (informal), Buongiorno! (formal)
*[[Basic Japanese greetings|Japanese]]: {{lang|ja|こんにちは}}! ''konnichi wa!'' (formal), {{lang|ja|おーい}}! ''ōi!'' (informal), {{lang|ja|もしもし}} ''moshimoshi'' (for the Telephone)
*[[Khmer-Sprache|Khmer]]: ជំរាបសួរ (jum-reep Su-a!)
*[[Korean]]: {{lang|ko|안영하세요}}! (''Anyeong Haseyo!'')
*[[Croat]]: Zdravo!
*[[Lettish]]: Čau! Sveiki!
*[[Lithuanian]]: Labas!
*[[Malaiische Sprache|Malaiisch]]: Hai!
*[[Mapundungun language|Mapundungun]]: Mari mari
*[[Mongolian]]: Сайн уу!
*[[Norwegian]]: Hei!, Hallo!, Morn!
*[[Polish]]: Cześć!
*[[Portuguese]]: Olá! ([[Portugal]]), Oi! ([[Brasilien]])
*[[Rumanian]]: Salut! (freundlich), Bună ziua! (formal)
*[[Russian/Introduction#Essential_phrases|Russian]]: Привет! 
*[[Swedish]]: Hej!, Hallå!
*[[Swiss German]]: Hoi!, Sali!, Hallo!
*[[Slovak]]: Ahoj!
*[[Spanish]]: ¡Hola!
*[[Tamil Nadu]] (Sri Lanka): வணக்கம்!
*[[Thai]]: สวัสดีคะ!
*[[Basic Turkish words|Turkish]]: Merhaba! (([[Media:Merhaba.ogg|listen]])), Alo! (on the telephone)
*[[Vietnamese]]: Chào!
*[[toki pona]]: toki!
[[Category:Multilingual Studies]]
[[Category:Modern languages]]</text>
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      <text bytes="2010" sha1="jdbijwd1rtdf7idk0wife3my53sipxw" xml:space="preserve">This is a list of greetings in various different languages (from the German Wikipedia):
*[[boro]]: खुलुम्बाइ (KHULUMBAI!)
*[[Bengali]]: &lt;big&gt;নমস্কার&lt;/big&gt; (Namaskar! - gesprochen: ''Nomoshkar'')
*[[Bulgarische Sprache|Bulgarian]]: Здравей!, Здрасти! (Duzform), Здравейте! (Siezform)
*[[Chinese]]: {{lang|zh|你好}}!
*[[Czech]]: Ahoj!
*[[English]]: Hello!, Hi!
*[[Esperanto]]: Saluton!
*[[Estnische Sprache|Estnisch]]: Tere!
*[[Danish]]: Hej!
*[[Dutch]]: Hallo!, Hoi!
*[[Farsi]]: Salam!
*[[Fidschi (Sprache)|Fidschi]]: Bula!
*[[Finnish]]: Terve!
*[[Flemish]]: Hallo!
*[[French]]: Salut!, Bonjour !
*[[German]]: Hallo!
*[[Greek]]: Γειά!
*[[Hawaiian]]: [[Aloha]]!
*[[Hebrew]]: !שלום
*[[Hindi]]: नमस्ते (Namaste!)
*[[Italian]]: Ciao! (informal), Buongiorno! (formal)
*[[Basic Japanese greetings|Japanese]]: {{lang|ja|こんにちは}}! ''konnichi wa!'' (formal), {{lang|ja|おーい}}! ''ōi!'' (informal), {{lang|ja|もしもし}} ''moshimoshi'' (for the Telephone)
*[[Khmer-Sprache|Khmer]]: ជំរាបសួរ (jum-reep Su-a!)
*[[Korean]]: {{lang|ko|안영하세요}}! (''Anyeong Haseyo!'')
*[[Croat]]: Zdravo!
*[[Lettish]]: Čau! Sveiki!
*[[Lithuanian]]: Labas!
*[[Malaiische Sprache|Malaiisch]]: Hai!
*[[Mapudungun language|Mapudungun]]: Mari mari
*[[Mongolian]]: Сайн уу!
*[[Norwegian]]: Hei!, Hallo!, Morn!
*[[Polish]]: Cześć!
*[[Portuguese]]: Olá! ([[Portugal]]), Oi! ([[Brasilien]])
*[[Rumanian]]: Salut! (freundlich), Bună ziua! (formal)
*[[Russian/Introduction#Essential_phrases|Russian]]: Привет! 
*[[Swedish]]: Hej!, Hallå!
*[[Swiss German]]: Hoi!, Sali!, Hallo!
*[[Slovak]]: Ahoj!
*[[Spanish]]: ¡Hola!
*[[Tamil Nadu]] (Sri Lanka): வணக்கம்!
*[[Thai]]: สวัสดีคะ!
*[[Basic Turkish words|Turkish]]: Merhaba! (([[Media:Merhaba.ogg|listen]])), Alo! (on the telephone)
*[[Vietnamese]]: Chào!
*[[toki pona]]: toki!
[[Category:Multilingual Studies]]
[[Category:Modern languages]]</text>
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    <title>Empathy</title>
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[[File:Empathy facial expression 2.png|thumb|right|200px|An AI-generated photorealistic facial expression consistent with the emotional experience of empathy]]

'''Empathy''' is a common way an individual can react to another individual’s situation, and in particular is about the extent to which that person understands other peoples' perspectives (Davis, 1983). Empathy essentially involves mirroring the emotional experience of another.

In emotion science, empathy can be distinguished from related interpersonal emotions such as compassion and sympathy.

==See also==
* [[w:Empathy|Empathy]] (Wikipedia)

==Reference==
Davis, M, H. (1983). Measuring individual differences in empathy: Evidence for a multidimensional approach. ''Journal of Personality and Social Psychology'', ''44'', 113-126.

{{psych-stub}}
&lt;!--==See also==--&gt;
{{search}} 

[[Category:Emotion]]
[[Category:Social psychology]]
[[Category:Empathy| ]]</text>
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      <comment>/* See also */  [[Motivation and emotion/Lectures/Individual emotions|Individual emotions]] (Motivation and emotion lecture)</comment>
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[[File:Empathy facial expression 2.png|thumb|right|200px|An AI-generated photorealistic facial expression consistent with the emotional experience of empathy]]

'''Empathy''' is a common way an individual can react to another individual’s situation, and in particular is about the extent to which that person understands other peoples' perspectives (Davis, 1983). Empathy essentially involves mirroring the emotional experience of another.

In emotion science, empathy can be distinguished from related interpersonal emotions such as compassion and sympathy.

==See also==
* [[w:Empathy|Empathy]] (Wikipedia)
* [[Motivation and emotion/Lectures/Individual emotions|Individual emotions]] (Motivation and emotion lecture)

==Reference==
Davis, M, H. (1983). Measuring individual differences in empathy: Evidence for a multidimensional approach. ''Journal of Personality and Social Psychology'', ''44'', 113-126.

{{psych-stub}}
&lt;!--==See also==--&gt;
{{search}} 

[[Category:Emotion]]
[[Category:Social psychology]]
[[Category:Empathy| ]]</text>
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      <comment>PieWriter moved page [[Translation]] to [[User:CQ/Translation]] without leaving a redirect: Move to user space: Per prod</comment>
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      <text bytes="17520" sha1="2tga3wj4qi1540r3nr8mft7ewlao62j" xml:space="preserve">{{proposed deletion|This is unlikely to be useful for the readers. Its placement on the &quot;Translation&quot; head gives it undue prominence as well, when it is a translation mini-project or nano-project. Moving to user space is fine.}}

Translation is a difficult job, but it has many rewards. A good translator can open dialogue, foster understanding and improve cooperation in cross-cultural multilingual settings. This learning project tackles translation from the bottom up starting with crude and simplistic methods, for and by inexperienced translators. Hopefully people who know what they are doing will join the effort.
== Create translation table ==
We're going to do things the hard way, using [[OmegaWiki]] as a place to start. We '''create''' a '''translation table''' with the words, ''[[wikt:create|create]]'', ''[[wikt:translation|translation]]'' and ''[[wikt:table|table]]'' in their connotations for making a data table for translation:
	
{|
|-
|Afrikaans||?||vertaling||???
|-
|Armenian||?||??||աղյուսակ
|-
|Belarusian||?||пераклад||???
|-
|Bengali||তৈরি||??||???	
|-		
|Bokmål||?||oversettelse||???
|-		
|Breton||?||troidigezh||???
|-	
|Castilian||crear||traducción||tabla
|-
|Catalan||crear||traducció||taula
|-		
|Danish||kreere||oversættelse||tabel
|-
|Dutch||creëren||vertaling||tabel		
|-
|English||create||translation||table
|-
|Esperanto||krei||traduko||tablo	
|-
|Finnish||?||käännös||taulukko		
|-
|French||créer||traduction||tableau	
|-
|Georgian||შექმნა||??||ცხრილი		
|-
|German||kreieren||Übersetzung||Tabelle
|-
|Greek||δημιουργώ||μετάφραση||πίνακας		
|-
|Hebrew||?||??||טבלה		
|-
|Hindi||बनाना||?||?|| 		
|-
|Hungarian||?||fordítás||???
|-
|Icelandic||?||þýðing||???
|-		
|Italian||creare||traduzione||tabella		
|-
|Japanese||創造する||翻訳||テーブル
|-
|Lithuanian||?||??||lentelė		
|-
|Neapolitan||crià||??||???
|-
|Persian||?||ترجمه||???
|-
|Portuguese||?||??||tabela		
|-
|Romanian||crea||traducere||tabel
|-
|Russian||?||перевод||???
|-
|Swahili||?||fanyiza||tafsiri||?
|-	
|Swedish||skapa||översättning||tabell
|-
|Thai
|สร้าง
|การแปล
|โต๊ะ
|-
|Turkish||yaratmak||çeviri||tablo
|-
|Vietnamese||?||??||bảng		
|-
|Volapük||?||tradutod||???
|-
|Xhosa||?||inguqulo||???
|-
|Zulu||?||ukuguqulwa||???
|}


We find those [http://www.omegawiki.org/index.php?title=DefinedMeaning:create%20(426003)&amp;dataset=uw here], [http://www.omegawiki.org/index.php?title=DefinedMeaning:Übersetzung%20(7173)&amp;dataset=uw here] and [http://www.omegawiki.org/index.php?title=DefinedMeaning:table%20(7197)&amp;dataset=uw here]. Notice that the tables not only come short of having all the words but they can reveal extra words. For example ''create'' in Dutch could also be ''scheppen'' and in German could also be ''erstellen, erschaffen,'' or ''schaffen''. As an English user, I know that ''create'' could be substituted with ''make'', ''produce'', ''build'' and several other words without altering the '''meaning''' all that much. It is important to collaborate extensively in multilingual translation projects.

==Seeding and expanding a translation table==
The following translation table from [[meta]] was created by native [[French]] speaker and meta-wikipedian, [[m:User:Sam Hocevar|Sam]]. It began as a tool for he and other Wikipedians who didn't comment their changes, leaving the comment line blank. Sam reasoned it might have been because they weren't sure of how to spell words correctly, use grammar, punctuation, etc. Originally named Wikispeling, the table began in his user space at the French Wikipedia and emerged at meta in the form of [[m:Wikispelling|Wikispelling]]. Here's its genesis on [http://meta.wikimedia.org/w/index.php?title=Wikispelling&amp;oldid=82904 10 December 2004]: 

{|style=&quot;margin: 0 0 0.5em 1em;&quot; border=&quot;1&quot; cellspacing=&quot;0&quot; cellpadding=&quot;2&quot;
|&lt;kbd&gt;de&lt;/kbd&gt;
|Deutsch
|Korrektur (Korrekturen)
|kleine Korrektur (kleine Korrekturen)
|Rechtschreibung
|-
|&lt;kbd&gt;en&lt;/kbd&gt;
|English
|correction (corrections)
|minor correction (minor corrections)
|spelling
|-
|&lt;kbd&gt;fr&lt;/kbd&gt;
|Français
|correction (corrections)
|correction mineure (corrections mineures)
|orthographe
|-
|&lt;kbd&gt;ro&lt;/kbd&gt;
|Română
|corectură (corecturi)
|corectură minoră (corecții minore)
|ortografie
|-
|&lt;kbd&gt;xh&lt;/kbd&gt;
|Xhosa
|isilungiso (izilungiso)
|isilungiso esincinci (izilungiso ezincinci)
|izipelo
|}

And here is the version 5 years later as of 31 July 2009:

{|style=&quot;margin: 0 0 0.5em 1em;&quot; border=&quot;1&quot; cellspacing=&quot;0&quot; cellpadding=&quot;2&quot;
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;'''en'''&lt;/kbd&gt;
|'''English'''
|'''[minor]&amp;nbsp;correction&lt;br&gt;([minor]&amp;nbsp;corrections)'''
|'''spelling'''
|'''grammar'''
|'''punctuation'''
|'''typography'''
|'''&lt;nowiki&gt;please help with [[m:Wikispelling|Wikispelling]]&lt;/nowiki&gt;'''
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;af&lt;/kbd&gt;
|Afrikaans
|[kleine] verbetering&lt;br&gt;([kleine] verbeteringe)
|spelling
|grammatika
|interpunksie
|tipografie
|&lt;nowiki&gt;Help asseblief met [[m:Wikispelling|Wikispelling]]!&lt;/nowiki&gt;
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;als&lt;/kbd&gt;
|Alemannisch
|[chlini] Verbesserig&lt;br&gt;([chlini] Verbesserige)
|Rächtschriibig
|Grammatik
|Interpunktion
|Typografie
|&lt;nowiki&gt;Hilf bitte mit [[m:Wikispelling|Wikispelling]]!&lt;/nowiki&gt;
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;ar&lt;/kbd&gt;
|العربية
|[طفيف]&amp;nbsp;تصحيح&lt;br&gt;([طفيفة]&amp;nbsp;تصحيحات)
|إملاء
|قواعد
|علامات ترقيم
|مادة طباعية
|&lt;nowiki&gt;من فضلك ساعد في [[m:Wikispelling|إملاء الويكي]]&lt;/nowiki&gt;
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;ast&lt;/kbd&gt;
|Asturianu
|[pequeña]&amp;nbsp;correción&lt;br&gt;[pequeñes]&amp;nbsp;correciones
|ortografía
|gramática
|puntuación
|tipografía
|&lt;nowiki&gt;por favor, echanos un gabitu con la [[m:Wikispelling|Wikiortografía]]&lt;/nowiki&gt;
|-
|&lt;kbd&gt;ba&lt;/kbd&gt;
|Bosnian
|[mala] ispravka&lt;br&gt;([male] ispravke)
|pravopis
|gramatika
|interpunkcija
|tipografija
|&lt;nowiki&gt;Molimo Vas da pomognete sa [[m:Wikispelling|Wikispelling]]&lt;/nowiki&gt;
|-
|&lt;kbd&gt;bg&lt;/kbd&gt;
|Български
|[малка] корекция
|правопис
|граматика
|пунктуация
|оформление
|&lt;nowiki&gt;&lt;/nowiki&gt;
|-
|&lt;kbd&gt;br&lt;/kbd&gt;
|Brezhoneg
|reizhadennig [vihan]&lt;br&gt;(reizhadennoùigoù [bihan])
|reizhskrivañ
|yezhadur
|poentaouiñ
|tipografiezh
|&lt;nowiki&gt;Mar plij, skoazellit ac'hanomp gant ar [[m:Wikispelling|wikireizhskrivañ]]&lt;/nowiki&gt;
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;ca&lt;/kbd&gt;
|Català
|[petita] correcció&lt;br&gt;[petites] correccions
|ortografia
|gramàtica
|puntuació
|tipografia
|&lt;nowiki&gt;Si us plau, ajudeu amb el [[m:Wikispelling|Viquiortògraf]]&lt;/nowiki&gt;
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;cs&lt;/kbd&gt;
|Česky
|[drobná] oprava&lt;br&gt;([drobné] opravy)
|pravopis
|gramatika
|interpunkce
|typografie
|&lt;nowiki&gt;pomozte prosím projektu [[m:Wikispelling|Wikispelling]]&lt;/nowiki&gt;
|-
|&lt;kbd&gt;csb&lt;/kbd&gt;
|Kaszëbsczi
|
|
|
|
|
|&lt;nowiki&gt;&lt;/nowiki&gt;
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;cy&lt;/kbd&gt;
|Cymraeg
|cywiriad [bach]&lt;br&gt;cywiriadau [bychain]
|orgraff
|gramadeg
|atalnodi
|teipograffeg
|&lt;nowiki&gt;cyfrannwch at brosiect [[m:Wikispelling|Wikispelling]], os gwelwch yn dda&lt;/nowiki&gt;
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;da&lt;/kbd&gt;
|Dansk
|[mindre] ændring&lt;br&gt;[mindre] ændringer
|stavning
|grammatik
|tegnsætning
|typografi
|&lt;nowiki&gt;hjælp [[m:Wikispelling|Wikispelling]]&lt;/nowiki&gt;
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;de&lt;/kbd&gt;
|Deutsch
|[kleine] Korrektur&lt;br&gt;([kleine] Korrekturen)
|Rechtschreibung
|Grammatik
|Interpunktion&lt;br&gt;Zeichensetzung
|Typografie
|&lt;nowiki&gt;Bitte hilf mit [[m:Wikispelling|Wikispelling]]!&lt;/nowiki&gt;
|-
|&lt;kbd&gt;el&lt;/kbd&gt;
|Ελληνικά
|διόρθωση
|ορθογραφία
|γραμματική&lt;br&gt;
|στίξη
|τυπογραφία
|&lt;nowiki&gt;Παρακαλώ βοηθήστε με το[[m:Wikispelling|Wikispelling]]&lt;/nowiki&gt;
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;eo&lt;/kbd&gt;
|Esperanto
|korekto&amp;nbsp;[malgranda]&lt;br&gt;korektoj&amp;nbsp;[malgrandaj]
|ortografio
|gramatiko
|interpunkcio
|tipografio
|&lt;nowiki&gt;bonvolu helpi per [[m:Wikispelling|Vikiortografio]]&lt;/nowiki&gt;
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;es&lt;/kbd&gt;
|Español
|[pequeña]&amp;nbsp;corrección&lt;br&gt;[pequeñas]&amp;nbsp;correcciones
|ortografía
|gramática
|puntuación
|tipografía
|&lt;nowiki&gt;ayúdenos con el [[m:Wikispelling|Wikispelling]], por favor&lt;/nowiki&gt;
|-
|&lt;kbd&gt;et&lt;/kbd&gt;
|Eesti
|[pisi]&amp;nbsp;parandus&lt;br&gt;([pisikesed]&amp;nbsp;parandused)
|õigekiri
|grammatika
|kirjavahemärkide tarvitus
|tüpograafia
|&lt;nowiki&gt;Palun aita [[m:Wikispelling|Vikiõigekirja]] projekti&lt;/nowiki&gt;
|-style=&quot;background: #ddeeff;
|&lt;kbd&gt;eu&lt;/kbd&gt;
|Euskara
|
|ortografia
|gramatika
|puntuazio
|
|&lt;nowiki&gt;&lt;/nowiki&gt;
|-
|&lt;kbd&gt;fi&lt;/kbd&gt;
|Suomi
|korjaus
|oikeinkirjoitus
|kielioppi
|välimerkitys
|
|&lt;nowiki&gt;&lt;/nowiki&gt;
|-
|&lt;kbd&gt;fo&lt;/kbd&gt;
|Føroyskt
|
|stavseting
|mállæra
|
|
|&lt;nowiki&gt;&lt;/nowiki&gt;
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;fr&lt;/kbd&gt;
|Français
|correction&amp;nbsp;[mineure]&lt;br&gt;(corrections&amp;nbsp;[mineures])
|orthographe
|grammaire
|ponctuation
|typographie
|&lt;nowiki&gt;Aidez-nous avec ([[m:Wikispelling|l'orthographe]] SVP.&lt;/nowiki&gt;
|-
|&lt;kbd&gt;gl&lt;/kbd&gt;
|Galego
|corrección [menor]&lt;br&gt; (correccións [menores])
|ortografía
|gramática
|puntuación
|tipografía
|&lt;nowiki&gt;Axuda no [[m:Wikispelling|Wikispelling]], por favor.&lt;/nowiki&gt;
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;ga&lt;/kbd&gt;
|Gaeilge
|ceartúchán&amp;nbsp;[beag]&lt;br&gt;(ceartúcháin&amp;nbsp;[bheaga])
|litriú
|gramadach
|poncaíocht
|clóghrafaíocht
|&lt;nowiki&gt;Cabhraigí le [[m:Wikispelling|Wikispelling]], le bhur dtoil&lt;/nowiki&gt;
|-
|&lt;kbd&gt;gv&lt;/kbd&gt;
|Gaelg
|kiartaghey
|cairscreeu
|lioar ghrammeydys&lt;br&gt;grammeydys&lt;br&gt;grammar
|punkaghey
|clougraafeeaght
|&lt;nowiki&gt;&lt;/nowiki&gt;
|-
|&lt;kbd&gt;he&lt;/kbd&gt;
|עברית
|תיקון [משני]&lt;br&gt;תיקונים [משניים]
|כתיב
|דקדוק
|פיסוק
|טיפוגרפיה
|&lt;nowiki&gt;אנא סייעו ב-[[m:Wikispelling|Wikispelling]]&lt;/nowiki&gt;
|-
|&lt;kbd&gt;hi&lt;/kbd&gt;
|हिन्दी
|
|
|
|
|
|&lt;nowiki&gt;&lt;/nowiki&gt;
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;hr&lt;/kbd&gt;
|Hrvatski
|(manje) ispravke
|pravopis
|gramatika
|interpunkcija
|slovoslaganje&lt;br&gt;tipografija
|&lt;nowiki&gt;Molim, pomozite [[m:Wikispelling|projektu Wikipravopisa]]&lt;/nowiki&gt;
|-
|&lt;kbd&gt;hu&lt;/kbd&gt;
|Magyar
|korrigálás&lt;br&gt;javítás
|ortográfia&lt;br&gt;helyesírás
|nyelvtan
|írásjelek
|tipográfia&lt;br&gt;nyomdászat
|&lt;nowiki&gt;Kérem segítsen a [[m:Wikispelling|Wiki projekt helyesírásánál]]&lt;/nowiki&gt;
|-
|&lt;kbd&gt;hy&lt;/kbd&gt;
|Հայերեն
|
|ուղղագրություն
|քերականություն
|կետադրություն
|
|
|-
|&lt;kbd&gt;ia&lt;/kbd&gt;
|Interlingua
|correction&amp;nbsp;[parve]&lt;br&gt;(correctiones&amp;nbsp;[parve])
|orthographia
|grammatica
|punctuation
|typographia
|&lt;nowiki&gt;adjuta con [[m:Wikispelling|Wikispelling]], per favor!&lt;/nowiki&gt;
|-
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;id&lt;/kbd&gt;
|Bahasa Indonesia
|koreksi
|ejaan
|tata bahasa
|tanda baca
|tipografi
|&lt;nowiki&gt;Bantulah kami dalam mengoreksi kesalahan [[m:Wikispelling|ejaan]] di Wikipedia!&lt;/nowiki&gt;
|-
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;it&lt;/kbd&gt;
|Italiano
|[piccola] correzione&lt;br&gt;([piccole] correzioni)
|ortografia
|grammatica
|punteggiatura
|tipografia&lt;br&gt;composizione
|&lt;nowiki&gt;per favore, aiutateci con il [[m:Wikispelling|Wikispelling]]&lt;/nowiki&gt;
|-
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;ja&lt;/kbd&gt;
|日本語
|校正
|綴り&lt;br&gt;つづり
|文法
|区切り
|タイポグラフィー
|&lt;nowiki&gt;[[m:Wikispelling|ウィキスペリング]]にご協力ください。&lt;/nowiki&gt;
|-
|&lt;kbd&gt;ko&lt;/kbd&gt;
|한국어
|
|맞춤법
|문법
|
|
|&lt;nowiki&gt;&lt;/nowiki&gt;
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;ksh&lt;/kbd&gt;
|Kölsch / Ripuarisch
|en [kleijn] Fobäßerong&lt;br&gt;([kleijn] Fobäßeronge)
|et Boochstavveere
|de Jrammatik
|de Zëijschesäzong
|de Typpojraffi
|&lt;nowiki&gt;Sidd_esu joot, dooht dem [[m:Wikispelling|Wikispelling]] hellefe!&lt;/nowiki&gt;
|-
|&lt;kbd&gt;ku&lt;/kbd&gt;
|Kurdî / كوردی
|serastkirina biçûk
|rastnivîs
|rêziman
|
|
|&lt;nowiki&gt;&lt;/nowiki&gt;
|-
|&lt;kbd&gt;la&lt;/kbd&gt;
|Latina
|erratum correctum
|orthographia
|litteratura
|punctus
|typographica
|&lt;nowiki&gt;&lt;/nowiki&gt;
|-
|&lt;kbd&gt;lb&lt;/kbd&gt;
|Lëtzebuergesch
|
|
|
|
|
|&lt;nowiki&gt;&lt;/nowiki&gt;
|-
|&lt;kbd&gt;jbo&lt;/kbd&gt;
|Lojban
|cmalu dragau
|valsi dragau
|gerna dragau
|pandi dragau
|
|&lt;nowiki&gt;pe'u ko sidju fi la'o gy. [[m:Wikispelling|Wikispelling]] gy.&lt;/nowiki&gt;
|-
|&lt;kbd&gt;ml&lt;/kbd&gt;
|മലയാളം
|
|
|
|
|
|&lt;nowiki&gt;&lt;/nowiki&gt;
|-
|&lt;kbd&gt;ms&lt;/kbd&gt;
|Bahasa Melayu
|pembetulan [kecil]
|ejaan
|tatabahasa
|tanda baca
|tipografi
|&lt;nowiki&gt;Bantulah kami dalam membetulkan kesalahan [[m:Wikispelling|ejaan]] di Wikipedia!&lt;/nowiki&gt;
|-
|&lt;kbd&gt;nds&lt;/kbd&gt;
|Plattdüütsch
|
|
|
|
|
|&lt;nowiki&gt;&lt;/nowiki&gt;
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;nl&lt;/kbd&gt;
|Nederlands
|[kleine] correctie&lt;br&gt;([kleine] correcties)
|spelling
|grammatica
|interpunctie
|typografie
|&lt;nowiki&gt;Help alsjeblieft met [[m:Wikispelling|Wikispelling]]!&lt;/nowiki&gt;
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;no&lt;/kbd&gt;
|Norsk
|[liten]&amp;nbsp;korreksjon&lt;br&gt;[små]&amp;nbsp;korreksjoner
|rettskrivning
|grammatikk
|tegnsetting
|typografi
|&lt;nowiki&gt;hjelp [[m:Wikispelling|Wikispelling]]&lt;/nowiki&gt;
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;pl&lt;/kbd&gt;
|Polski
|[drobna]&amp;nbsp;poprawka&lt;br&gt;([drobne]&amp;nbsp;poprawki)
|pisownia
|gramatyka
|interpunkcja
|typografia
|&lt;nowiki&gt;pomóż poprawiać: [[m:Wikispelling|Wikispelling]]&lt;/nowiki&gt;
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;pt&lt;/kbd&gt;
|Português
|correcção&amp;nbsp;[menor]&lt;br&gt;(correcções&amp;nbsp;[menores])
|ortografia
|gramática
|pontuação
|tipografia
|&lt;nowiki&gt;ajuda [[m:Wikispelling|Wikispelling]] por favor&lt;/nowiki&gt;
|-
|&lt;kbd&gt;ro&lt;/kbd&gt;
|Română
|corectură
|ortografie
|gramatică
|punctuație
|tipografie&lt;br&gt;tipar
|&lt;nowiki&gt;ajutați-ne la [[m:Wikispelling|Wikiortografie]], vă rugǎm&lt;/nowiki&gt;
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;ru&lt;/kbd&gt;
|Русский
|[незначительное] исправление&lt;br&gt;[незначительные] исправления
|орфография
|грамматика
|пунктуация
|типографика
|&lt;nowiki&gt;Пожалуйста, помогите проекту [[m:Wikispelling|Wikispelling]]&lt;/nowiki&gt;
|-
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;scn&lt;/kbd&gt;
|Sicilianu
|[piccola] correzzioni&lt;br&gt;([piccoli] correzzioni)
|ortugrafia
|grammatica
|puntigghiatura
|tipografia&lt;br&gt;cumpusizzioni
|&lt;nowiki&gt;per favori, aiutati-nui cun lu [[m:Wikispelling|Wikispelling]]&lt;/nowiki&gt;
|-
|&lt;kbd&gt;sh&lt;/kbd&gt;
|(Serbo-Croatian)
|ispravljanje
|ortografija&lt;br&gt;pravopis
|gramatika
|interpunkcijski&lt;br&gt;interpunkcija
|tipografija&lt;br&gt;slaganje
|&lt;nowiki&gt;&lt;/nowiki&gt;
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;sl&lt;/kbd&gt;
|Slovenščina
|manjša poprava&lt;br&gt;popravljanje
|pravopis
|slovnica
|ločila
|tipografija
|&lt;nowiki&gt;Prosim, pomagajte [[m:Wikispelling|Wikipravopisu]]&lt;/nowiki&gt;
|-
|&lt;kbd&gt;sq&lt;/kbd&gt;
|Shqip
|
|ortografi&lt;br&gt;drejtshkrim
|gramatikë&lt;br&gt;hyrje në shkencë
|
|tipografi&lt;br&gt;shtypshkrim
|&lt;nowiki&gt;&lt;/nowiki&gt;
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;sv&lt;/kbd&gt;
|Svenska
|[liten] rättning &lt;br&gt;([små] rättningar)
|stavning
|grammatik
|interpunktion
|typografi
|&lt;nowiki&gt;Hjälp till med [[m:Wikispelling|Wikispelling]]!&lt;/nowiki&gt;
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;th&lt;/kbd&gt;
|ไทย
|แก้ไข[เล็กน้อย]
|การสะกดคำ
|ไวยากรณ์
|เครื่องหมายวรรคตอน
|การเรียงพิมพ์
|&lt;nowiki&gt;มาร่วมกันช่วย [[m:Wikispelling|Wikispelling]]&lt;/nowiki&gt;
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;tr&lt;/kbd&gt;
|Türkçe
|[küçük] düzeltmeler
|yazım&lt;br&gt;imlâ
|dilbilgisi
|noktalama
|tipografi
|&lt;nowiki&gt;[[m:Wikispelling|Wikispelling]]'e yardım ediniz!&lt;/nowiki&gt;
|-
|&lt;kbd&gt;tk&lt;/kbd&gt;
|Türkmençe
|[ujypsyzja] düzedişler
|orfografiýa
|grammatika
|punktuasiýa
|tipografika
|&lt;nowiki&gt;[[m:Wikispelling|Wikispelling]]e hemaýat beriň!&lt;/nowiki&gt;
|-
|&lt;kbd&gt;ur&lt;/kbd&gt;
|اردو
|
|
|
|
|
|&lt;nowiki&gt;&lt;/nowiki&gt;
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;uk&lt;/kbd&gt;
|Українська
|виправлення
|правопис
|граматика
|пунктуація
|друкування
|&lt;nowiki&gt;Будь ласка, допоможіть [[m:Wikispelling|Wikispelling]]&lt;/nowiki&gt;
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;vi&lt;/kbd&gt;
|Tiếng Việt
|sửa chữa
|chính tả
|ngữ pháp
|đánh dấu chấm câu
|cách trình bày
|&lt;nowiki&gt;xin trợ giúp [[m:Wikispelling|Wikispelling]]&lt;/nowiki&gt;
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;wa&lt;/kbd&gt;
|Walon
|[pitit(s)]&amp;nbsp;coridjaedje(s)
|ôrtografeye
|croejhete
|pontiaedje
|tipografeye
|&lt;nowiki&gt;Vos nos ploz aidî avou l' ([[m:Wikispelling|ôrtografeye]].&lt;/nowiki&gt;
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;zh&lt;/kbd&gt;
|中文
|[小]修正
|拼写
|语法
|标点
|排版
|&lt;nowiki&gt;请帮助完善[[m:Wikispelling|维基拼写]]&lt;/nowiki&gt;
|}

You can see that manually generated and maintained wikitables can be worth all the trouble in the long term.

==Computer-assisted translation==
[[w:Computer-assisted translation|Computer-assisted translation]].

{{construct}}

[[Category:Translation]]
[[Category:Linguistics]]
[[Category:Foreign Language Learning]]

[[af:Vertaalkunde]]
[[br:Treiñ ha troidigezh]]
[[bg:Преводач]]
[[ca:Traducció lingüística]]
[[cv:Тăлмач]]
[[da:Oversættelse]]
[[et:Tõlge]]
[[eo:Traduko]]
[[eu:Itzulpengintza]]
[[fa:ترجمه]]
[[fur:Traduzion]]
[[gl:Tradución]]
[[hi:अनुवाद]]
[[is:Þýðing]]
[[he:תרגום]]
[[kn:ಭಾಷಾಂತರ]]
[[hu:Fordítás]]
[[ms:Penterjemahan]]
[[nl:Vertaling]]
[[no:Oversettelse]]
[[pl:Tłumaczenie (przekład)]]
[[ro:Traducere]]
[[simple:Translation]]
[[tr:Çeviri]]
[[uk:Переклад]]
[[vec:Tradusion]]
[[vi:Thông dịch]]
[[wa:Ratournaedje (langue)]]
[[zh:翻译]]</text>
      <sha1>2tga3wj4qi1540r3nr8mft7ewlao62j</sha1>
    </revision>
    <revision>
      <id>2804116</id>
      <parentid>2804114</parentid>
      <timestamp>2026-04-10T08:56:31Z</timestamp>
      <contributor>
        <username>PieWriter</username>
        <id>3039865</id>
      </contributor>
      <comment>Moved</comment>
      <origin>2804116</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="17290" sha1="csu7x54qw8iyahkkqnmp7wkw5y3klot" xml:space="preserve">Translation is a difficult job, but it has many rewards. A good translator can open dialogue, foster understanding and improve cooperation in cross-cultural multilingual settings. This learning project tackles translation from the bottom up starting with crude and simplistic methods, for and by inexperienced translators. Hopefully people who know what they are doing will join the effort.
== Create translation table ==
We're going to do things the hard way, using [[OmegaWiki]] as a place to start. We '''create''' a '''translation table''' with the words, ''[[wikt:create|create]]'', ''[[wikt:translation|translation]]'' and ''[[wikt:table|table]]'' in their connotations for making a data table for translation:
	
{|
|-
|Afrikaans||?||vertaling||???
|-
|Armenian||?||??||աղյուսակ
|-
|Belarusian||?||пераклад||???
|-
|Bengali||তৈরি||??||???	
|-		
|Bokmål||?||oversettelse||???
|-		
|Breton||?||troidigezh||???
|-	
|Castilian||crear||traducción||tabla
|-
|Catalan||crear||traducció||taula
|-		
|Danish||kreere||oversættelse||tabel
|-
|Dutch||creëren||vertaling||tabel		
|-
|English||create||translation||table
|-
|Esperanto||krei||traduko||tablo	
|-
|Finnish||?||käännös||taulukko		
|-
|French||créer||traduction||tableau	
|-
|Georgian||შექმნა||??||ცხრილი		
|-
|German||kreieren||Übersetzung||Tabelle
|-
|Greek||δημιουργώ||μετάφραση||πίνακας		
|-
|Hebrew||?||??||טבלה		
|-
|Hindi||बनाना||?||?|| 		
|-
|Hungarian||?||fordítás||???
|-
|Icelandic||?||þýðing||???
|-		
|Italian||creare||traduzione||tabella		
|-
|Japanese||創造する||翻訳||テーブル
|-
|Lithuanian||?||??||lentelė		
|-
|Neapolitan||crià||??||???
|-
|Persian||?||ترجمه||???
|-
|Portuguese||?||??||tabela		
|-
|Romanian||crea||traducere||tabel
|-
|Russian||?||перевод||???
|-
|Swahili||?||fanyiza||tafsiri||?
|-	
|Swedish||skapa||översättning||tabell
|-
|Thai
|สร้าง
|การแปล
|โต๊ะ
|-
|Turkish||yaratmak||çeviri||tablo
|-
|Vietnamese||?||??||bảng		
|-
|Volapük||?||tradutod||???
|-
|Xhosa||?||inguqulo||???
|-
|Zulu||?||ukuguqulwa||???
|}


We find those [http://www.omegawiki.org/index.php?title=DefinedMeaning:create%20(426003)&amp;dataset=uw here], [http://www.omegawiki.org/index.php?title=DefinedMeaning:Übersetzung%20(7173)&amp;dataset=uw here] and [http://www.omegawiki.org/index.php?title=DefinedMeaning:table%20(7197)&amp;dataset=uw here]. Notice that the tables not only come short of having all the words but they can reveal extra words. For example ''create'' in Dutch could also be ''scheppen'' and in German could also be ''erstellen, erschaffen,'' or ''schaffen''. As an English user, I know that ''create'' could be substituted with ''make'', ''produce'', ''build'' and several other words without altering the '''meaning''' all that much. It is important to collaborate extensively in multilingual translation projects.

==Seeding and expanding a translation table==
The following translation table from [[meta]] was created by native [[French]] speaker and meta-wikipedian, [[m:User:Sam Hocevar|Sam]]. It began as a tool for he and other Wikipedians who didn't comment their changes, leaving the comment line blank. Sam reasoned it might have been because they weren't sure of how to spell words correctly, use grammar, punctuation, etc. Originally named Wikispeling, the table began in his user space at the French Wikipedia and emerged at meta in the form of [[m:Wikispelling|Wikispelling]]. Here's its genesis on [http://meta.wikimedia.org/w/index.php?title=Wikispelling&amp;oldid=82904 10 December 2004]: 

{|style=&quot;margin: 0 0 0.5em 1em;&quot; border=&quot;1&quot; cellspacing=&quot;0&quot; cellpadding=&quot;2&quot;
|&lt;kbd&gt;de&lt;/kbd&gt;
|Deutsch
|Korrektur (Korrekturen)
|kleine Korrektur (kleine Korrekturen)
|Rechtschreibung
|-
|&lt;kbd&gt;en&lt;/kbd&gt;
|English
|correction (corrections)
|minor correction (minor corrections)
|spelling
|-
|&lt;kbd&gt;fr&lt;/kbd&gt;
|Français
|correction (corrections)
|correction mineure (corrections mineures)
|orthographe
|-
|&lt;kbd&gt;ro&lt;/kbd&gt;
|Română
|corectură (corecturi)
|corectură minoră (corecții minore)
|ortografie
|-
|&lt;kbd&gt;xh&lt;/kbd&gt;
|Xhosa
|isilungiso (izilungiso)
|isilungiso esincinci (izilungiso ezincinci)
|izipelo
|}

And here is the version 5 years later as of 31 July 2009:

{|style=&quot;margin: 0 0 0.5em 1em;&quot; border=&quot;1&quot; cellspacing=&quot;0&quot; cellpadding=&quot;2&quot;
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;'''en'''&lt;/kbd&gt;
|'''English'''
|'''[minor]&amp;nbsp;correction&lt;br&gt;([minor]&amp;nbsp;corrections)'''
|'''spelling'''
|'''grammar'''
|'''punctuation'''
|'''typography'''
|'''&lt;nowiki&gt;please help with [[m:Wikispelling|Wikispelling]]&lt;/nowiki&gt;'''
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;af&lt;/kbd&gt;
|Afrikaans
|[kleine] verbetering&lt;br&gt;([kleine] verbeteringe)
|spelling
|grammatika
|interpunksie
|tipografie
|&lt;nowiki&gt;Help asseblief met [[m:Wikispelling|Wikispelling]]!&lt;/nowiki&gt;
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;als&lt;/kbd&gt;
|Alemannisch
|[chlini] Verbesserig&lt;br&gt;([chlini] Verbesserige)
|Rächtschriibig
|Grammatik
|Interpunktion
|Typografie
|&lt;nowiki&gt;Hilf bitte mit [[m:Wikispelling|Wikispelling]]!&lt;/nowiki&gt;
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;ar&lt;/kbd&gt;
|العربية
|[طفيف]&amp;nbsp;تصحيح&lt;br&gt;([طفيفة]&amp;nbsp;تصحيحات)
|إملاء
|قواعد
|علامات ترقيم
|مادة طباعية
|&lt;nowiki&gt;من فضلك ساعد في [[m:Wikispelling|إملاء الويكي]]&lt;/nowiki&gt;
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;ast&lt;/kbd&gt;
|Asturianu
|[pequeña]&amp;nbsp;correción&lt;br&gt;[pequeñes]&amp;nbsp;correciones
|ortografía
|gramática
|puntuación
|tipografía
|&lt;nowiki&gt;por favor, echanos un gabitu con la [[m:Wikispelling|Wikiortografía]]&lt;/nowiki&gt;
|-
|&lt;kbd&gt;ba&lt;/kbd&gt;
|Bosnian
|[mala] ispravka&lt;br&gt;([male] ispravke)
|pravopis
|gramatika
|interpunkcija
|tipografija
|&lt;nowiki&gt;Molimo Vas da pomognete sa [[m:Wikispelling|Wikispelling]]&lt;/nowiki&gt;
|-
|&lt;kbd&gt;bg&lt;/kbd&gt;
|Български
|[малка] корекция
|правопис
|граматика
|пунктуация
|оформление
|&lt;nowiki&gt;&lt;/nowiki&gt;
|-
|&lt;kbd&gt;br&lt;/kbd&gt;
|Brezhoneg
|reizhadennig [vihan]&lt;br&gt;(reizhadennoùigoù [bihan])
|reizhskrivañ
|yezhadur
|poentaouiñ
|tipografiezh
|&lt;nowiki&gt;Mar plij, skoazellit ac'hanomp gant ar [[m:Wikispelling|wikireizhskrivañ]]&lt;/nowiki&gt;
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;ca&lt;/kbd&gt;
|Català
|[petita] correcció&lt;br&gt;[petites] correccions
|ortografia
|gramàtica
|puntuació
|tipografia
|&lt;nowiki&gt;Si us plau, ajudeu amb el [[m:Wikispelling|Viquiortògraf]]&lt;/nowiki&gt;
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;cs&lt;/kbd&gt;
|Česky
|[drobná] oprava&lt;br&gt;([drobné] opravy)
|pravopis
|gramatika
|interpunkce
|typografie
|&lt;nowiki&gt;pomozte prosím projektu [[m:Wikispelling|Wikispelling]]&lt;/nowiki&gt;
|-
|&lt;kbd&gt;csb&lt;/kbd&gt;
|Kaszëbsczi
|
|
|
|
|
|&lt;nowiki&gt;&lt;/nowiki&gt;
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;cy&lt;/kbd&gt;
|Cymraeg
|cywiriad [bach]&lt;br&gt;cywiriadau [bychain]
|orgraff
|gramadeg
|atalnodi
|teipograffeg
|&lt;nowiki&gt;cyfrannwch at brosiect [[m:Wikispelling|Wikispelling]], os gwelwch yn dda&lt;/nowiki&gt;
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;da&lt;/kbd&gt;
|Dansk
|[mindre] ændring&lt;br&gt;[mindre] ændringer
|stavning
|grammatik
|tegnsætning
|typografi
|&lt;nowiki&gt;hjælp [[m:Wikispelling|Wikispelling]]&lt;/nowiki&gt;
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;de&lt;/kbd&gt;
|Deutsch
|[kleine] Korrektur&lt;br&gt;([kleine] Korrekturen)
|Rechtschreibung
|Grammatik
|Interpunktion&lt;br&gt;Zeichensetzung
|Typografie
|&lt;nowiki&gt;Bitte hilf mit [[m:Wikispelling|Wikispelling]]!&lt;/nowiki&gt;
|-
|&lt;kbd&gt;el&lt;/kbd&gt;
|Ελληνικά
|διόρθωση
|ορθογραφία
|γραμματική&lt;br&gt;
|στίξη
|τυπογραφία
|&lt;nowiki&gt;Παρακαλώ βοηθήστε με το[[m:Wikispelling|Wikispelling]]&lt;/nowiki&gt;
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;eo&lt;/kbd&gt;
|Esperanto
|korekto&amp;nbsp;[malgranda]&lt;br&gt;korektoj&amp;nbsp;[malgrandaj]
|ortografio
|gramatiko
|interpunkcio
|tipografio
|&lt;nowiki&gt;bonvolu helpi per [[m:Wikispelling|Vikiortografio]]&lt;/nowiki&gt;
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;es&lt;/kbd&gt;
|Español
|[pequeña]&amp;nbsp;corrección&lt;br&gt;[pequeñas]&amp;nbsp;correcciones
|ortografía
|gramática
|puntuación
|tipografía
|&lt;nowiki&gt;ayúdenos con el [[m:Wikispelling|Wikispelling]], por favor&lt;/nowiki&gt;
|-
|&lt;kbd&gt;et&lt;/kbd&gt;
|Eesti
|[pisi]&amp;nbsp;parandus&lt;br&gt;([pisikesed]&amp;nbsp;parandused)
|õigekiri
|grammatika
|kirjavahemärkide tarvitus
|tüpograafia
|&lt;nowiki&gt;Palun aita [[m:Wikispelling|Vikiõigekirja]] projekti&lt;/nowiki&gt;
|-style=&quot;background: #ddeeff;
|&lt;kbd&gt;eu&lt;/kbd&gt;
|Euskara
|
|ortografia
|gramatika
|puntuazio
|
|&lt;nowiki&gt;&lt;/nowiki&gt;
|-
|&lt;kbd&gt;fi&lt;/kbd&gt;
|Suomi
|korjaus
|oikeinkirjoitus
|kielioppi
|välimerkitys
|
|&lt;nowiki&gt;&lt;/nowiki&gt;
|-
|&lt;kbd&gt;fo&lt;/kbd&gt;
|Føroyskt
|
|stavseting
|mállæra
|
|
|&lt;nowiki&gt;&lt;/nowiki&gt;
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;fr&lt;/kbd&gt;
|Français
|correction&amp;nbsp;[mineure]&lt;br&gt;(corrections&amp;nbsp;[mineures])
|orthographe
|grammaire
|ponctuation
|typographie
|&lt;nowiki&gt;Aidez-nous avec ([[m:Wikispelling|l'orthographe]] SVP.&lt;/nowiki&gt;
|-
|&lt;kbd&gt;gl&lt;/kbd&gt;
|Galego
|corrección [menor]&lt;br&gt; (correccións [menores])
|ortografía
|gramática
|puntuación
|tipografía
|&lt;nowiki&gt;Axuda no [[m:Wikispelling|Wikispelling]], por favor.&lt;/nowiki&gt;
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;ga&lt;/kbd&gt;
|Gaeilge
|ceartúchán&amp;nbsp;[beag]&lt;br&gt;(ceartúcháin&amp;nbsp;[bheaga])
|litriú
|gramadach
|poncaíocht
|clóghrafaíocht
|&lt;nowiki&gt;Cabhraigí le [[m:Wikispelling|Wikispelling]], le bhur dtoil&lt;/nowiki&gt;
|-
|&lt;kbd&gt;gv&lt;/kbd&gt;
|Gaelg
|kiartaghey
|cairscreeu
|lioar ghrammeydys&lt;br&gt;grammeydys&lt;br&gt;grammar
|punkaghey
|clougraafeeaght
|&lt;nowiki&gt;&lt;/nowiki&gt;
|-
|&lt;kbd&gt;he&lt;/kbd&gt;
|עברית
|תיקון [משני]&lt;br&gt;תיקונים [משניים]
|כתיב
|דקדוק
|פיסוק
|טיפוגרפיה
|&lt;nowiki&gt;אנא סייעו ב-[[m:Wikispelling|Wikispelling]]&lt;/nowiki&gt;
|-
|&lt;kbd&gt;hi&lt;/kbd&gt;
|हिन्दी
|
|
|
|
|
|&lt;nowiki&gt;&lt;/nowiki&gt;
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;hr&lt;/kbd&gt;
|Hrvatski
|(manje) ispravke
|pravopis
|gramatika
|interpunkcija
|slovoslaganje&lt;br&gt;tipografija
|&lt;nowiki&gt;Molim, pomozite [[m:Wikispelling|projektu Wikipravopisa]]&lt;/nowiki&gt;
|-
|&lt;kbd&gt;hu&lt;/kbd&gt;
|Magyar
|korrigálás&lt;br&gt;javítás
|ortográfia&lt;br&gt;helyesírás
|nyelvtan
|írásjelek
|tipográfia&lt;br&gt;nyomdászat
|&lt;nowiki&gt;Kérem segítsen a [[m:Wikispelling|Wiki projekt helyesírásánál]]&lt;/nowiki&gt;
|-
|&lt;kbd&gt;hy&lt;/kbd&gt;
|Հայերեն
|
|ուղղագրություն
|քերականություն
|կետադրություն
|
|
|-
|&lt;kbd&gt;ia&lt;/kbd&gt;
|Interlingua
|correction&amp;nbsp;[parve]&lt;br&gt;(correctiones&amp;nbsp;[parve])
|orthographia
|grammatica
|punctuation
|typographia
|&lt;nowiki&gt;adjuta con [[m:Wikispelling|Wikispelling]], per favor!&lt;/nowiki&gt;
|-
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;id&lt;/kbd&gt;
|Bahasa Indonesia
|koreksi
|ejaan
|tata bahasa
|tanda baca
|tipografi
|&lt;nowiki&gt;Bantulah kami dalam mengoreksi kesalahan [[m:Wikispelling|ejaan]] di Wikipedia!&lt;/nowiki&gt;
|-
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;it&lt;/kbd&gt;
|Italiano
|[piccola] correzione&lt;br&gt;([piccole] correzioni)
|ortografia
|grammatica
|punteggiatura
|tipografia&lt;br&gt;composizione
|&lt;nowiki&gt;per favore, aiutateci con il [[m:Wikispelling|Wikispelling]]&lt;/nowiki&gt;
|-
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;ja&lt;/kbd&gt;
|日本語
|校正
|綴り&lt;br&gt;つづり
|文法
|区切り
|タイポグラフィー
|&lt;nowiki&gt;[[m:Wikispelling|ウィキスペリング]]にご協力ください。&lt;/nowiki&gt;
|-
|&lt;kbd&gt;ko&lt;/kbd&gt;
|한국어
|
|맞춤법
|문법
|
|
|&lt;nowiki&gt;&lt;/nowiki&gt;
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;ksh&lt;/kbd&gt;
|Kölsch / Ripuarisch
|en [kleijn] Fobäßerong&lt;br&gt;([kleijn] Fobäßeronge)
|et Boochstavveere
|de Jrammatik
|de Zëijschesäzong
|de Typpojraffi
|&lt;nowiki&gt;Sidd_esu joot, dooht dem [[m:Wikispelling|Wikispelling]] hellefe!&lt;/nowiki&gt;
|-
|&lt;kbd&gt;ku&lt;/kbd&gt;
|Kurdî / كوردی
|serastkirina biçûk
|rastnivîs
|rêziman
|
|
|&lt;nowiki&gt;&lt;/nowiki&gt;
|-
|&lt;kbd&gt;la&lt;/kbd&gt;
|Latina
|erratum correctum
|orthographia
|litteratura
|punctus
|typographica
|&lt;nowiki&gt;&lt;/nowiki&gt;
|-
|&lt;kbd&gt;lb&lt;/kbd&gt;
|Lëtzebuergesch
|
|
|
|
|
|&lt;nowiki&gt;&lt;/nowiki&gt;
|-
|&lt;kbd&gt;jbo&lt;/kbd&gt;
|Lojban
|cmalu dragau
|valsi dragau
|gerna dragau
|pandi dragau
|
|&lt;nowiki&gt;pe'u ko sidju fi la'o gy. [[m:Wikispelling|Wikispelling]] gy.&lt;/nowiki&gt;
|-
|&lt;kbd&gt;ml&lt;/kbd&gt;
|മലയാളം
|
|
|
|
|
|&lt;nowiki&gt;&lt;/nowiki&gt;
|-
|&lt;kbd&gt;ms&lt;/kbd&gt;
|Bahasa Melayu
|pembetulan [kecil]
|ejaan
|tatabahasa
|tanda baca
|tipografi
|&lt;nowiki&gt;Bantulah kami dalam membetulkan kesalahan [[m:Wikispelling|ejaan]] di Wikipedia!&lt;/nowiki&gt;
|-
|&lt;kbd&gt;nds&lt;/kbd&gt;
|Plattdüütsch
|
|
|
|
|
|&lt;nowiki&gt;&lt;/nowiki&gt;
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;nl&lt;/kbd&gt;
|Nederlands
|[kleine] correctie&lt;br&gt;([kleine] correcties)
|spelling
|grammatica
|interpunctie
|typografie
|&lt;nowiki&gt;Help alsjeblieft met [[m:Wikispelling|Wikispelling]]!&lt;/nowiki&gt;
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;no&lt;/kbd&gt;
|Norsk
|[liten]&amp;nbsp;korreksjon&lt;br&gt;[små]&amp;nbsp;korreksjoner
|rettskrivning
|grammatikk
|tegnsetting
|typografi
|&lt;nowiki&gt;hjelp [[m:Wikispelling|Wikispelling]]&lt;/nowiki&gt;
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;pl&lt;/kbd&gt;
|Polski
|[drobna]&amp;nbsp;poprawka&lt;br&gt;([drobne]&amp;nbsp;poprawki)
|pisownia
|gramatyka
|interpunkcja
|typografia
|&lt;nowiki&gt;pomóż poprawiać: [[m:Wikispelling|Wikispelling]]&lt;/nowiki&gt;
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;pt&lt;/kbd&gt;
|Português
|correcção&amp;nbsp;[menor]&lt;br&gt;(correcções&amp;nbsp;[menores])
|ortografia
|gramática
|pontuação
|tipografia
|&lt;nowiki&gt;ajuda [[m:Wikispelling|Wikispelling]] por favor&lt;/nowiki&gt;
|-
|&lt;kbd&gt;ro&lt;/kbd&gt;
|Română
|corectură
|ortografie
|gramatică
|punctuație
|tipografie&lt;br&gt;tipar
|&lt;nowiki&gt;ajutați-ne la [[m:Wikispelling|Wikiortografie]], vă rugǎm&lt;/nowiki&gt;
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;ru&lt;/kbd&gt;
|Русский
|[незначительное] исправление&lt;br&gt;[незначительные] исправления
|орфография
|грамматика
|пунктуация
|типографика
|&lt;nowiki&gt;Пожалуйста, помогите проекту [[m:Wikispelling|Wikispelling]]&lt;/nowiki&gt;
|-
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;scn&lt;/kbd&gt;
|Sicilianu
|[piccola] correzzioni&lt;br&gt;([piccoli] correzzioni)
|ortugrafia
|grammatica
|puntigghiatura
|tipografia&lt;br&gt;cumpusizzioni
|&lt;nowiki&gt;per favori, aiutati-nui cun lu [[m:Wikispelling|Wikispelling]]&lt;/nowiki&gt;
|-
|&lt;kbd&gt;sh&lt;/kbd&gt;
|(Serbo-Croatian)
|ispravljanje
|ortografija&lt;br&gt;pravopis
|gramatika
|interpunkcijski&lt;br&gt;interpunkcija
|tipografija&lt;br&gt;slaganje
|&lt;nowiki&gt;&lt;/nowiki&gt;
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;sl&lt;/kbd&gt;
|Slovenščina
|manjša poprava&lt;br&gt;popravljanje
|pravopis
|slovnica
|ločila
|tipografija
|&lt;nowiki&gt;Prosim, pomagajte [[m:Wikispelling|Wikipravopisu]]&lt;/nowiki&gt;
|-
|&lt;kbd&gt;sq&lt;/kbd&gt;
|Shqip
|
|ortografi&lt;br&gt;drejtshkrim
|gramatikë&lt;br&gt;hyrje në shkencë
|
|tipografi&lt;br&gt;shtypshkrim
|&lt;nowiki&gt;&lt;/nowiki&gt;
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;sv&lt;/kbd&gt;
|Svenska
|[liten] rättning &lt;br&gt;([små] rättningar)
|stavning
|grammatik
|interpunktion
|typografi
|&lt;nowiki&gt;Hjälp till med [[m:Wikispelling|Wikispelling]]!&lt;/nowiki&gt;
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;th&lt;/kbd&gt;
|ไทย
|แก้ไข[เล็กน้อย]
|การสะกดคำ
|ไวยากรณ์
|เครื่องหมายวรรคตอน
|การเรียงพิมพ์
|&lt;nowiki&gt;มาร่วมกันช่วย [[m:Wikispelling|Wikispelling]]&lt;/nowiki&gt;
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;tr&lt;/kbd&gt;
|Türkçe
|[küçük] düzeltmeler
|yazım&lt;br&gt;imlâ
|dilbilgisi
|noktalama
|tipografi
|&lt;nowiki&gt;[[m:Wikispelling|Wikispelling]]'e yardım ediniz!&lt;/nowiki&gt;
|-
|&lt;kbd&gt;tk&lt;/kbd&gt;
|Türkmençe
|[ujypsyzja] düzedişler
|orfografiýa
|grammatika
|punktuasiýa
|tipografika
|&lt;nowiki&gt;[[m:Wikispelling|Wikispelling]]e hemaýat beriň!&lt;/nowiki&gt;
|-
|&lt;kbd&gt;ur&lt;/kbd&gt;
|اردو
|
|
|
|
|
|&lt;nowiki&gt;&lt;/nowiki&gt;
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;uk&lt;/kbd&gt;
|Українська
|виправлення
|правопис
|граматика
|пунктуація
|друкування
|&lt;nowiki&gt;Будь ласка, допоможіть [[m:Wikispelling|Wikispelling]]&lt;/nowiki&gt;
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;vi&lt;/kbd&gt;
|Tiếng Việt
|sửa chữa
|chính tả
|ngữ pháp
|đánh dấu chấm câu
|cách trình bày
|&lt;nowiki&gt;xin trợ giúp [[m:Wikispelling|Wikispelling]]&lt;/nowiki&gt;
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;wa&lt;/kbd&gt;
|Walon
|[pitit(s)]&amp;nbsp;coridjaedje(s)
|ôrtografeye
|croejhete
|pontiaedje
|tipografeye
|&lt;nowiki&gt;Vos nos ploz aidî avou l' ([[m:Wikispelling|ôrtografeye]].&lt;/nowiki&gt;
|-style=&quot;background: #ddeeff;&quot;
|&lt;kbd&gt;zh&lt;/kbd&gt;
|中文
|[小]修正
|拼写
|语法
|标点
|排版
|&lt;nowiki&gt;请帮助完善[[m:Wikispelling|维基拼写]]&lt;/nowiki&gt;
|}

You can see that manually generated and maintained wikitables can be worth all the trouble in the long term.

==Computer-assisted translation==
[[w:Computer-assisted translation|Computer-assisted translation]].

{{construct}}

[[Category:Translation]]
[[Category:Linguistics]]
[[Category:Foreign Language Learning]]

[[af:Vertaalkunde]]
[[br:Treiñ ha troidigezh]]
[[bg:Преводач]]
[[ca:Traducció lingüística]]
[[cv:Тăлмач]]
[[da:Oversættelse]]
[[et:Tõlge]]
[[eo:Traduko]]
[[eu:Itzulpengintza]]
[[fa:ترجمه]]
[[fur:Traduzion]]
[[gl:Tradución]]
[[hi:अनुवाद]]
[[is:Þýðing]]
[[he:תרגום]]
[[kn:ಭಾಷಾಂತರ]]
[[hu:Fordítás]]
[[ms:Penterjemahan]]
[[nl:Vertaling]]
[[no:Oversettelse]]
[[pl:Tłumaczenie (przekład)]]
[[ro:Traducere]]
[[simple:Translation]]
[[tr:Çeviri]]
[[uk:Переклад]]
[[vec:Tradusion]]
[[vi:Thông dịch]]
[[wa:Ratournaedje (langue)]]
[[zh:翻译]]</text>
      <sha1>csu7x54qw8iyahkkqnmp7wkw5y3klot</sha1>
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  <page>
    <title>User talk:CQ/Translation</title>
    <ns>3</ns>
    <id>84062</id>
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      <id>2804115</id>
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      <timestamp>2026-04-10T08:56:10Z</timestamp>
      <contributor>
        <username>PieWriter</username>
        <id>3039865</id>
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      <minor />
      <comment>PieWriter moved page [[Talk:Translation]] to [[User talk:CQ/Translation]] without leaving a redirect: Move to user space: Per prod</comment>
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      <text bytes="680" sha1="32hdxbklfohtm761k8whl75g93sopx9" xml:space="preserve">I first tackled translation back when Wikiversity and beta first opened. Here we go again for [http://strategy.wikimedia.org Strategic Planning] purposes. [[User:CQ|CQ]] 04:53, 30 July 2009 (UTC)

== Czech ==

Note to self: See [[w:T-V distinction|T-V distinction]], [[w:Czech declension|Czech declension]] and '''[[Transwiki]]''' per convo with apergos and juandev (#wikiversity hub) --[[User:CQ|CQ]] 00:10, 6 September 2009 (UTC)

== Shona ==

Translate words in shona to english so foreigners can also understand english and be able to do better communication [[Special:Contributions/41.116.87.149|41.116.87.149]] ([[User talk:41.116.87.149|discuss]]) 14:03, 29 July 2022 (UTC)</text>
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    <title>Portal:Thai</title>
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      <text bytes="260" sha1="tfbkxk46jlc1mqi6e6gzue7hx4nw9dp" xml:space="preserve">Welcome to the '''Thai Department''' at Wikiversity, part of the Center for Foreign Language Learning and the School of Language and Literature.

==Division News==
* '''13 September 2009''' - Department founded!

==See also==
[[Southeast Asian Languages/Thai]]</text>
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      <comment>Dark mode support.</comment>
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{{#ifeq:{{PAGENAME}}|Main Page|&lt;div align=right style=&quot;font-size:80%;&quot;&gt;[[{{FOTD/URL}}|view]] &amp;middot; [[Talk:{{FOTD/URL}}|discuss]] &lt;/div&gt;}}
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        <username>Codename Noreste</username>
        <id>2969951</id>
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      <comment>Trying to adjust for dark mode support.</comment>
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|{{Robelbox|theme=1|title={{{title|Today's [[Wikiversity:Featured|Featured]] Project}}}|width={{{width|100%}}}|height={{{height|none}}}}}
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&lt;div align=center style=&quot;{{Robelbox/pad}}; &quot;&gt;
&lt;div style=&quot;font-weight:bold; font-size:12pt; padding-top:5px; padding-bottom:5px;&quot; &gt;[[{{{link}}}|{{{name}}}]]&lt;/div&gt;
&lt;div style=&quot;clear:both;&quot; &gt;&lt;/div&gt;
{|
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|align={{{blurbalign|left}}}|{{{blurb|}}}
|-
|}
{{Robelbox/HR|1}}
&lt;div align=center style=&quot;padding-bottom:5px; font-size:80%; line-height:1.25em;&quot;&gt;[[{{{link}}}|Visit this resource]] &amp;middot; [[Featured content|see more featured content]]&lt;/div&gt;
{{#ifeq:{{PAGENAME}}|Main Page|&lt;div align=right style=&quot;font-size:80%;&quot;&gt;[[{{FOTD/URL}}|view]] &amp;middot; [[Talk:{{FOTD/URL}}|discuss]] &lt;/div&gt;}}
&lt;/div&gt;
{{Robelbox/close}}&lt;noinclude&gt;  [[Category:FOTD templates]] &lt;/noinclude&gt;&lt;includeonly&gt;{{#ifeq:{{PAGENAME}}|Main Page||[[Category: featured content flyers]]}}&lt;/includeonly&gt;</text>
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  <page>
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      <contributor>
        <username>Jtneill</username>
        <id>10242</id>
      </contributor>
      <minor />
      <comment>Reverted edits by [[Special:Contributions/IronGargoyle|IronGargoyle]] ([[User_talk:IronGargoyle|talk]]) to last version by [[User:Jtneill|Jtneill]] using [[Wikiversity:Rollback|rollback]]</comment>
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      <text bytes="4078" sha1="o7urebhwsj2d1zy4pgbzbnac6njp21y" xml:space="preserve">&lt;noinclude&gt;
* A collection of images related to [[motivation and emotion]] from [[commons:|Wiki Commons]]
* Images may be useful for [[Motivation and emotion/Book|book chapter]]s&lt;/noinclude&gt;
{{center top}}
&lt;gallery&gt;
File:1944 JonWhitcomb USNavy (3214638694).jpg
File:2010 - A year plenty of Hopes.jpg
File:Adam and Eve (UK CIA P-1947-LF-77).jpg
File:AG LEADER.JPG
File:Alienation.jpg
File:Alma-Tadema Unconscious Rivals 1893.jpg
File:Amarguraubeda.JPG
File:Angelo Bronzino 003.jpg
File:Arianna e la sua lente.JPG
File:B&amp;W Happiness.jpg
File:BB-Bea.jpg
File:Bipolar Dyptych 1 365.jpg
File:Bundesarchiv Bild 183-1984-0809-003, Kyffhäuserhütte Artern, Jugendforscherkollektiv.jpg
File:Child's Angry Face.jpg
File:Concert exercise.jpg
File:Contempt.jpg
File:Crying child with blonde hair.jpg
File:Cycling Time Trial effort.jpg
File:De mulieribus claris - Marcia.png
File:Depression.jpg
File:Disappointment facial expression.jpg
File:Disgust expression cropped.jpg
File:Disgust1.jpg
File:Drill sergeant screams.jpg
File:Doctor Who (13).jpg
File:Edward Lear A Book of Nonsense 57.jpg
File:Eeg registration.jpg
File:El Lehendakari visita la nueva unidad de Resonancia Magnética del HUA (40116421582).jpg
File:Emo boy 03 in rage.jpg
File:Emotions wheel.png
File:Empathy and the brain.png
File:Eros bobbin Louvre CA1798.jpg
File:Expression of the Emotions Figure 1.png
File:Expression of the Emotions Figure 20.png
File:Faradarmani.gif
File:Forestay-Eye-Round-seizings-Bulls-eye.jpg
File:Folsom Hula Hoop.png
File:Fragile Emotion cropped.jpg
File:Georg Friedrich Kersting Kinder am Fenster.jpg
File:Goals affirmation poster, Navy · DF-SD-04-09850.JPEG
File:Grass of Happiness.jpg
File:Gustave Courbet - Le Désespéré (1843).jpg
File:Inside my head.jpg
File:Interest.jpg
File:It's a Braun definitely.jpg
File:Just love cropped.jpg
File:Little girl buried up to her neck in sand.jpg
File:Lotus Reflects the Sun.jpg
File:Love Rush!.jpg
File:Love's Passing.jpg
File:Man eats at Volunteers of America soup kitchen Washington DC 1936.gif
File:Mary Magdalene Crying Statue.jpg
File:Mascia Ferri in Speed Skydiving.jpg
File:Mood dice.svg
File:Motivation &amp; Emotion.png
File:Motivation and Emotion Scrabble.jpg
File:Motivation Laptop.svg
File:Museum für Ostasiatische Kunst Dahlem Berlin Mai 2006 029.jpg
File:Naya, Carlo (1816-1882) - n. 553a - Carpaccio V. 1506 - Dettaglio del sogno di Santa Orsola (La testa della Santa) - Academia, Venezia.jpg
File:Noun emotion 1325508.svg
File:One hand handstand.jpg
File:Paris - Playing chess at the Jardins du Luxembourg - 2966.jpg
File:Person holding clock in front of head.jpg
File:Picswiss_UR-25-03.jpg
File:Plato Pio-Clemetino Inv305.jpg
File:Plutchik-wheel.svg
File:Portrait gemma and mehmet.jpg
File:Rock climbing (B&amp;W).jpg
File:Sadness 2.jpg
File:Sadness.jpg
File:Schadenfreude.png
File:Sépulcre Arc-en-Barrois 111008 12.jpg
File:Sigmund Freud LIFE.jpg
File:Smiling Brazilian girl (black and white).jpg
File:Smiling girl.jpg
File:Sophia (robot).jpg
File:Souvenir Seller - Moscow - Russia.JPG
File:SURPRISE.jpg
File:Thorunn3.jpg
File:Tug-of-war.jpg
File:Two people laughing.jpg
File:Two people with brain cogs turning.png
File:US Navy 100810-N-3013W-014 A Drug Education for Youth (DEFY) summer camp attendee from Naval Air Station Jacksonville climbs a rock wall during a goal setting exercise at Camp McConnell in Micanopy, Fla.jpg
File:Vault figure.jpg
File:Vincent Van Gogh - Sorrow.JPG
File:WebKit logo.svg
File:Week-end pleasure.jpg
File:William-Adolphe Bouguereau (1825-1905) - Thirst (1886).jpg
File:Worried little girl.jpg
File:Yakunchikova Fear.jpg
File:You may now kiss the bride.jpg
&lt;/gallery&gt;
{{center bottom}}
{{center top}}
For more images, search &lt;span class=&quot;plainlinks&quot;&gt;[http://commons.wikimedia.org/w/index.php?title=Special:Search&amp;fulltext=Search&amp;ns0=1&amp;ns1=1&amp;ns2=1&amp;ns3=1&amp;ns4=1&amp;ns5=1&amp;ns6=1&amp;ns7=1&amp;ns8=1&amp;ns9=1&amp;ns10=1&amp;ns11=1&amp;ns12=1&amp;ns13=1&amp;ns14=1&amp;ns15=1&amp;ns100=1&amp;ns101=1&amp;ns102=1&amp;ns103=1&amp;redirs=0&amp;search= wiki commons].&lt;/span&gt;
{{center bottom}}
&lt;noinclude&gt;
[[Category:Motivation and emotion]]
[[Category:Galleries]]
&lt;/noinclude&gt;</text>
      <sha1>o7urebhwsj2d1zy4pgbzbnac6njp21y</sha1>
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    <revision>
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      <timestamp>2026-04-10T03:57:45Z</timestamp>
      <contributor>
        <username>Jtneill</username>
        <id>10242</id>
      </contributor>
      <comment>* Also consider searching or contributing to [[commons:|Wiki Commons]]</comment>
      <origin>2804072</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="4155" sha1="jw71arqvsvuthdaip1dz0qw3wnpcwv6" xml:space="preserve">&lt;noinclude&gt;
* A collection of images related to [[motivation and emotion]] from [[commons:|Wiki Commons]]
* These images may be useful for [[Motivation and emotion/Book|book chapter]]s
* Also consider searching or contributing to [[commons:|Wiki Commons]]&lt;/noinclude&gt;
{{center top}}
&lt;gallery&gt;
File:1944 JonWhitcomb USNavy (3214638694).jpg
File:2010 - A year plenty of Hopes.jpg
File:Adam and Eve (UK CIA P-1947-LF-77).jpg
File:AG LEADER.JPG
File:Alienation.jpg
File:Alma-Tadema Unconscious Rivals 1893.jpg
File:Amarguraubeda.JPG
File:Angelo Bronzino 003.jpg
File:Arianna e la sua lente.JPG
File:B&amp;W Happiness.jpg
File:BB-Bea.jpg
File:Bipolar Dyptych 1 365.jpg
File:Bundesarchiv Bild 183-1984-0809-003, Kyffhäuserhütte Artern, Jugendforscherkollektiv.jpg
File:Child's Angry Face.jpg
File:Concert exercise.jpg
File:Contempt.jpg
File:Crying child with blonde hair.jpg
File:Cycling Time Trial effort.jpg
File:De mulieribus claris - Marcia.png
File:Depression.jpg
File:Disappointment facial expression.jpg
File:Disgust expression cropped.jpg
File:Disgust1.jpg
File:Drill sergeant screams.jpg
File:Doctor Who (13).jpg
File:Edward Lear A Book of Nonsense 57.jpg
File:Eeg registration.jpg
File:El Lehendakari visita la nueva unidad de Resonancia Magnética del HUA (40116421582).jpg
File:Emo boy 03 in rage.jpg
File:Emotions wheel.png
File:Empathy and the brain.png
File:Eros bobbin Louvre CA1798.jpg
File:Expression of the Emotions Figure 1.png
File:Expression of the Emotions Figure 20.png
File:Faradarmani.gif
File:Forestay-Eye-Round-seizings-Bulls-eye.jpg
File:Folsom Hula Hoop.png
File:Fragile Emotion cropped.jpg
File:Georg Friedrich Kersting Kinder am Fenster.jpg
File:Goals affirmation poster, Navy · DF-SD-04-09850.JPEG
File:Grass of Happiness.jpg
File:Gustave Courbet - Le Désespéré (1843).jpg
File:Inside my head.jpg
File:Interest.jpg
File:It's a Braun definitely.jpg
File:Just love cropped.jpg
File:Little girl buried up to her neck in sand.jpg
File:Lotus Reflects the Sun.jpg
File:Love Rush!.jpg
File:Love's Passing.jpg
File:Man eats at Volunteers of America soup kitchen Washington DC 1936.gif
File:Mary Magdalene Crying Statue.jpg
File:Mascia Ferri in Speed Skydiving.jpg
File:Mood dice.svg
File:Motivation &amp; Emotion.png
File:Motivation and Emotion Scrabble.jpg
File:Motivation Laptop.svg
File:Museum für Ostasiatische Kunst Dahlem Berlin Mai 2006 029.jpg
File:Naya, Carlo (1816-1882) - n. 553a - Carpaccio V. 1506 - Dettaglio del sogno di Santa Orsola (La testa della Santa) - Academia, Venezia.jpg
File:Noun emotion 1325508.svg
File:One hand handstand.jpg
File:Paris - Playing chess at the Jardins du Luxembourg - 2966.jpg
File:Person holding clock in front of head.jpg
File:Picswiss_UR-25-03.jpg
File:Plato Pio-Clemetino Inv305.jpg
File:Plutchik-wheel.svg
File:Portrait gemma and mehmet.jpg
File:Rock climbing (B&amp;W).jpg
File:Sadness 2.jpg
File:Sadness.jpg
File:Schadenfreude.png
File:Sépulcre Arc-en-Barrois 111008 12.jpg
File:Sigmund Freud LIFE.jpg
File:Smiling Brazilian girl (black and white).jpg
File:Smiling girl.jpg
File:Sophia (robot).jpg
File:Souvenir Seller - Moscow - Russia.JPG
File:SURPRISE.jpg
File:Thorunn3.jpg
File:Tug-of-war.jpg
File:Two people laughing.jpg
File:Two people with brain cogs turning.png
File:US Navy 100810-N-3013W-014 A Drug Education for Youth (DEFY) summer camp attendee from Naval Air Station Jacksonville climbs a rock wall during a goal setting exercise at Camp McConnell in Micanopy, Fla.jpg
File:Vault figure.jpg
File:Vincent Van Gogh - Sorrow.JPG
File:WebKit logo.svg
File:Week-end pleasure.jpg
File:William-Adolphe Bouguereau (1825-1905) - Thirst (1886).jpg
File:Worried little girl.jpg
File:Yakunchikova Fear.jpg
File:You may now kiss the bride.jpg
&lt;/gallery&gt;
{{center bottom}}
{{center top}}
For more images, search &lt;span class=&quot;plainlinks&quot;&gt;[http://commons.wikimedia.org/w/index.php?title=Special:Search&amp;fulltext=Search&amp;ns0=1&amp;ns1=1&amp;ns2=1&amp;ns3=1&amp;ns4=1&amp;ns5=1&amp;ns6=1&amp;ns7=1&amp;ns8=1&amp;ns9=1&amp;ns10=1&amp;ns11=1&amp;ns12=1&amp;ns13=1&amp;ns14=1&amp;ns15=1&amp;ns100=1&amp;ns101=1&amp;ns102=1&amp;ns103=1&amp;redirs=0&amp;search= wiki commons].&lt;/span&gt;
{{center bottom}}
&lt;noinclude&gt;
[[Category:Motivation and emotion]]
[[Category:Galleries]]
&lt;/noinclude&gt;</text>
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        <id>10242</id>
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      <text bytes="4162" sha1="qk715zt2a7idev3drsddgjvn76r3m8w" xml:space="preserve">&lt;noinclude&gt;
* A collection of images related to [[motivation and emotion]] from [[commons:|Wikimedia Commons]]
* These images may be useful for [[Motivation and emotion/Book|book chapter]]s
* Also consider searching or contributing images to [[commons:|Commons]]&lt;/noinclude&gt;
{{center top}}
&lt;gallery&gt;
File:1944 JonWhitcomb USNavy (3214638694).jpg
File:2010 - A year plenty of Hopes.jpg
File:Adam and Eve (UK CIA P-1947-LF-77).jpg
File:AG LEADER.JPG
File:Alienation.jpg
File:Alma-Tadema Unconscious Rivals 1893.jpg
File:Amarguraubeda.JPG
File:Angelo Bronzino 003.jpg
File:Arianna e la sua lente.JPG
File:B&amp;W Happiness.jpg
File:BB-Bea.jpg
File:Bipolar Dyptych 1 365.jpg
File:Bundesarchiv Bild 183-1984-0809-003, Kyffhäuserhütte Artern, Jugendforscherkollektiv.jpg
File:Child's Angry Face.jpg
File:Concert exercise.jpg
File:Contempt.jpg
File:Crying child with blonde hair.jpg
File:Cycling Time Trial effort.jpg
File:De mulieribus claris - Marcia.png
File:Depression.jpg
File:Disappointment facial expression.jpg
File:Disgust expression cropped.jpg
File:Disgust1.jpg
File:Drill sergeant screams.jpg
File:Doctor Who (13).jpg
File:Edward Lear A Book of Nonsense 57.jpg
File:Eeg registration.jpg
File:El Lehendakari visita la nueva unidad de Resonancia Magnética del HUA (40116421582).jpg
File:Emo boy 03 in rage.jpg
File:Emotions wheel.png
File:Empathy and the brain.png
File:Eros bobbin Louvre CA1798.jpg
File:Expression of the Emotions Figure 1.png
File:Expression of the Emotions Figure 20.png
File:Faradarmani.gif
File:Forestay-Eye-Round-seizings-Bulls-eye.jpg
File:Folsom Hula Hoop.png
File:Fragile Emotion cropped.jpg
File:Georg Friedrich Kersting Kinder am Fenster.jpg
File:Goals affirmation poster, Navy · DF-SD-04-09850.JPEG
File:Grass of Happiness.jpg
File:Gustave Courbet - Le Désespéré (1843).jpg
File:Inside my head.jpg
File:Interest.jpg
File:It's a Braun definitely.jpg
File:Just love cropped.jpg
File:Little girl buried up to her neck in sand.jpg
File:Lotus Reflects the Sun.jpg
File:Love Rush!.jpg
File:Love's Passing.jpg
File:Man eats at Volunteers of America soup kitchen Washington DC 1936.gif
File:Mary Magdalene Crying Statue.jpg
File:Mascia Ferri in Speed Skydiving.jpg
File:Mood dice.svg
File:Motivation &amp; Emotion.png
File:Motivation and Emotion Scrabble.jpg
File:Motivation Laptop.svg
File:Museum für Ostasiatische Kunst Dahlem Berlin Mai 2006 029.jpg
File:Naya, Carlo (1816-1882) - n. 553a - Carpaccio V. 1506 - Dettaglio del sogno di Santa Orsola (La testa della Santa) - Academia, Venezia.jpg
File:Noun emotion 1325508.svg
File:One hand handstand.jpg
File:Paris - Playing chess at the Jardins du Luxembourg - 2966.jpg
File:Person holding clock in front of head.jpg
File:Picswiss_UR-25-03.jpg
File:Plato Pio-Clemetino Inv305.jpg
File:Plutchik-wheel.svg
File:Portrait gemma and mehmet.jpg
File:Rock climbing (B&amp;W).jpg
File:Sadness 2.jpg
File:Sadness.jpg
File:Schadenfreude.png
File:Sépulcre Arc-en-Barrois 111008 12.jpg
File:Sigmund Freud LIFE.jpg
File:Smiling Brazilian girl (black and white).jpg
File:Smiling girl.jpg
File:Sophia (robot).jpg
File:Souvenir Seller - Moscow - Russia.JPG
File:SURPRISE.jpg
File:Thorunn3.jpg
File:Tug-of-war.jpg
File:Two people laughing.jpg
File:Two people with brain cogs turning.png
File:US Navy 100810-N-3013W-014 A Drug Education for Youth (DEFY) summer camp attendee from Naval Air Station Jacksonville climbs a rock wall during a goal setting exercise at Camp McConnell in Micanopy, Fla.jpg
File:Vault figure.jpg
File:Vincent Van Gogh - Sorrow.JPG
File:WebKit logo.svg
File:Week-end pleasure.jpg
File:William-Adolphe Bouguereau (1825-1905) - Thirst (1886).jpg
File:Worried little girl.jpg
File:Yakunchikova Fear.jpg
File:You may now kiss the bride.jpg
&lt;/gallery&gt;
{{center bottom}}
{{center top}}
For more images, search &lt;span class=&quot;plainlinks&quot;&gt;[http://commons.wikimedia.org/w/index.php?title=Special:Search&amp;fulltext=Search&amp;ns0=1&amp;ns1=1&amp;ns2=1&amp;ns3=1&amp;ns4=1&amp;ns5=1&amp;ns6=1&amp;ns7=1&amp;ns8=1&amp;ns9=1&amp;ns10=1&amp;ns11=1&amp;ns12=1&amp;ns13=1&amp;ns14=1&amp;ns15=1&amp;ns100=1&amp;ns101=1&amp;ns102=1&amp;ns103=1&amp;redirs=0&amp;search= wiki commons].&lt;/span&gt;
{{center bottom}}
&lt;noinclude&gt;
[[Category:Motivation and emotion]]
[[Category:Galleries]]
&lt;/noinclude&gt;</text>
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      <timestamp>2026-04-10T04:03:27Z</timestamp>
      <contributor>
        <username>Jtneill</username>
        <id>10242</id>
      </contributor>
      <comment>+ Headings</comment>
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==About==
* These images may be useful for [[Motivation and emotion/Book|book chapter]]s
* Also consider searching or contributing images to [[commons:|Commons]]&lt;/noinclude&gt;
* For more info, see [[Motivation and emotion/Wikiversity/Figures|working with figures for the motivation and emotion book project]]

==Gallery==
* A collection of images related to [[motivation and emotion]] from [[commons:|Wikimedia Commons]]

{{center top}}
&lt;gallery&gt;
File:1944 JonWhitcomb USNavy (3214638694).jpg
File:2010 - A year plenty of Hopes.jpg
File:Adam and Eve (UK CIA P-1947-LF-77).jpg
File:AG LEADER.JPG
File:Alienation.jpg
File:Alma-Tadema Unconscious Rivals 1893.jpg
File:Amarguraubeda.JPG
File:Angelo Bronzino 003.jpg
File:Arianna e la sua lente.JPG
File:B&amp;W Happiness.jpg
File:BB-Bea.jpg
File:Bipolar Dyptych 1 365.jpg
File:Bundesarchiv Bild 183-1984-0809-003, Kyffhäuserhütte Artern, Jugendforscherkollektiv.jpg
File:Child's Angry Face.jpg
File:Concert exercise.jpg
File:Contempt.jpg
File:Crying child with blonde hair.jpg
File:Cycling Time Trial effort.jpg
File:De mulieribus claris - Marcia.png
File:Depression.jpg
File:Disappointment facial expression.jpg
File:Disgust expression cropped.jpg
File:Disgust1.jpg
File:Drill sergeant screams.jpg
File:Doctor Who (13).jpg
File:Edward Lear A Book of Nonsense 57.jpg
File:Eeg registration.jpg
File:El Lehendakari visita la nueva unidad de Resonancia Magnética del HUA (40116421582).jpg
File:Emo boy 03 in rage.jpg
File:Emotions wheel.png
File:Empathy and the brain.png
File:Eros bobbin Louvre CA1798.jpg
File:Expression of the Emotions Figure 1.png
File:Expression of the Emotions Figure 20.png
File:Faradarmani.gif
File:Forestay-Eye-Round-seizings-Bulls-eye.jpg
File:Folsom Hula Hoop.png
File:Fragile Emotion cropped.jpg
File:Georg Friedrich Kersting Kinder am Fenster.jpg
File:Goals affirmation poster, Navy · DF-SD-04-09850.JPEG
File:Grass of Happiness.jpg
File:Gustave Courbet - Le Désespéré (1843).jpg
File:Inside my head.jpg
File:Interest.jpg
File:It's a Braun definitely.jpg
File:Just love cropped.jpg
File:Little girl buried up to her neck in sand.jpg
File:Lotus Reflects the Sun.jpg
File:Love Rush!.jpg
File:Love's Passing.jpg
File:Man eats at Volunteers of America soup kitchen Washington DC 1936.gif
File:Mary Magdalene Crying Statue.jpg
File:Mascia Ferri in Speed Skydiving.jpg
File:Mood dice.svg
File:Motivation &amp; Emotion.png
File:Motivation and Emotion Scrabble.jpg
File:Motivation Laptop.svg
File:Museum für Ostasiatische Kunst Dahlem Berlin Mai 2006 029.jpg
File:Naya, Carlo (1816-1882) - n. 553a - Carpaccio V. 1506 - Dettaglio del sogno di Santa Orsola (La testa della Santa) - Academia, Venezia.jpg
File:Noun emotion 1325508.svg
File:One hand handstand.jpg
File:Paris - Playing chess at the Jardins du Luxembourg - 2966.jpg
File:Person holding clock in front of head.jpg
File:Picswiss_UR-25-03.jpg
File:Plato Pio-Clemetino Inv305.jpg
File:Plutchik-wheel.svg
File:Portrait gemma and mehmet.jpg
File:Rock climbing (B&amp;W).jpg
File:Sadness 2.jpg
File:Sadness.jpg
File:Schadenfreude.png
File:Sépulcre Arc-en-Barrois 111008 12.jpg
File:Sigmund Freud LIFE.jpg
File:Smiling Brazilian girl (black and white).jpg
File:Smiling girl.jpg
File:Sophia (robot).jpg
File:Souvenir Seller - Moscow - Russia.JPG
File:SURPRISE.jpg
File:Thorunn3.jpg
File:Tug-of-war.jpg
File:Two people laughing.jpg
File:Two people with brain cogs turning.png
File:US Navy 100810-N-3013W-014 A Drug Education for Youth (DEFY) summer camp attendee from Naval Air Station Jacksonville climbs a rock wall during a goal setting exercise at Camp McConnell in Micanopy, Fla.jpg
File:Vault figure.jpg
File:Vincent Van Gogh - Sorrow.JPG
File:WebKit logo.svg
File:Week-end pleasure.jpg
File:William-Adolphe Bouguereau (1825-1905) - Thirst (1886).jpg
File:Worried little girl.jpg
File:Yakunchikova Fear.jpg
File:You may now kiss the bride.jpg
&lt;/gallery&gt;
{{center bottom}}
{{center top}}
For more images, search &lt;span class=&quot;plainlinks&quot;&gt;[http://commons.wikimedia.org/w/index.php?title=Special:Search&amp;fulltext=Search&amp;ns0=1&amp;ns1=1&amp;ns2=1&amp;ns3=1&amp;ns4=1&amp;ns5=1&amp;ns6=1&amp;ns7=1&amp;ns8=1&amp;ns9=1&amp;ns10=1&amp;ns11=1&amp;ns12=1&amp;ns13=1&amp;ns14=1&amp;ns15=1&amp;ns100=1&amp;ns101=1&amp;ns102=1&amp;ns103=1&amp;redirs=0&amp;search= wiki commons].&lt;/span&gt;
{{center bottom}}
&lt;noinclude&gt;
[[Category:Motivation and emotion]]
[[Category:Galleries]]
&lt;/noinclude&gt;</text>
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      <timestamp>2026-04-10T04:17:45Z</timestamp>
      <contributor>
        <username>IronGargoyle</username>
        <id>23939</id>
      </contributor>
      <comment>/* Gallery */ Remove AI image which serves no useful purpose</comment>
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==About==
* These images may be useful for [[Motivation and emotion/Book|book chapter]]s
* Also consider searching or contributing images to [[commons:|Commons]]&lt;/noinclude&gt;
* For more info, see [[Motivation and emotion/Wikiversity/Figures|working with figures for the motivation and emotion book project]]

==Gallery==
* A collection of images related to [[motivation and emotion]] from [[commons:|Wikimedia Commons]]

{{center top}}
&lt;gallery&gt;
File:1944 JonWhitcomb USNavy (3214638694).jpg
File:2010 - A year plenty of Hopes.jpg
File:Adam and Eve (UK CIA P-1947-LF-77).jpg
File:AG LEADER.JPG
File:Alienation.jpg
File:Alma-Tadema Unconscious Rivals 1893.jpg
File:Amarguraubeda.JPG
File:Angelo Bronzino 003.jpg
File:Arianna e la sua lente.JPG
File:B&amp;W Happiness.jpg
File:BB-Bea.jpg
File:Bipolar Dyptych 1 365.jpg
File:Bundesarchiv Bild 183-1984-0809-003, Kyffhäuserhütte Artern, Jugendforscherkollektiv.jpg
File:Child's Angry Face.jpg
File:Concert exercise.jpg
File:Contempt.jpg
File:Crying child with blonde hair.jpg
File:Cycling Time Trial effort.jpg
File:De mulieribus claris - Marcia.png
File:Depression.jpg
File:Disgust expression cropped.jpg
File:Disgust1.jpg
File:Drill sergeant screams.jpg
File:Doctor Who (13).jpg
File:Edward Lear A Book of Nonsense 57.jpg
File:Eeg registration.jpg
File:El Lehendakari visita la nueva unidad de Resonancia Magnética del HUA (40116421582).jpg
File:Emo boy 03 in rage.jpg
File:Emotions wheel.png
File:Empathy and the brain.png
File:Eros bobbin Louvre CA1798.jpg
File:Expression of the Emotions Figure 1.png
File:Expression of the Emotions Figure 20.png
File:Faradarmani.gif
File:Forestay-Eye-Round-seizings-Bulls-eye.jpg
File:Folsom Hula Hoop.png
File:Fragile Emotion cropped.jpg
File:Georg Friedrich Kersting Kinder am Fenster.jpg
File:Goals affirmation poster, Navy · DF-SD-04-09850.JPEG
File:Grass of Happiness.jpg
File:Gustave Courbet - Le Désespéré (1843).jpg
File:Inside my head.jpg
File:Interest.jpg
File:It's a Braun definitely.jpg
File:Just love cropped.jpg
File:Little girl buried up to her neck in sand.jpg
File:Lotus Reflects the Sun.jpg
File:Love Rush!.jpg
File:Love's Passing.jpg
File:Man eats at Volunteers of America soup kitchen Washington DC 1936.gif
File:Mary Magdalene Crying Statue.jpg
File:Mascia Ferri in Speed Skydiving.jpg
File:Mood dice.svg
File:Motivation &amp; Emotion.png
File:Motivation and Emotion Scrabble.jpg
File:Motivation Laptop.svg
File:Museum für Ostasiatische Kunst Dahlem Berlin Mai 2006 029.jpg
File:Naya, Carlo (1816-1882) - n. 553a - Carpaccio V. 1506 - Dettaglio del sogno di Santa Orsola (La testa della Santa) - Academia, Venezia.jpg
File:Noun emotion 1325508.svg
File:One hand handstand.jpg
File:Paris - Playing chess at the Jardins du Luxembourg - 2966.jpg
File:Person holding clock in front of head.jpg
File:Picswiss_UR-25-03.jpg
File:Plato Pio-Clemetino Inv305.jpg
File:Plutchik-wheel.svg
File:Portrait gemma and mehmet.jpg
File:Rock climbing (B&amp;W).jpg
File:Sadness 2.jpg
File:Sadness.jpg
File:Schadenfreude.png
File:Sépulcre Arc-en-Barrois 111008 12.jpg
File:Sigmund Freud LIFE.jpg
File:Smiling Brazilian girl (black and white).jpg
File:Smiling girl.jpg
File:Sophia (robot).jpg
File:Souvenir Seller - Moscow - Russia.JPG
File:SURPRISE.jpg
File:Thorunn3.jpg
File:Tug-of-war.jpg
File:Two people laughing.jpg
File:Two people with brain cogs turning.png
File:US Navy 100810-N-3013W-014 A Drug Education for Youth (DEFY) summer camp attendee from Naval Air Station Jacksonville climbs a rock wall during a goal setting exercise at Camp McConnell in Micanopy, Fla.jpg
File:Vault figure.jpg
File:Vincent Van Gogh - Sorrow.JPG
File:WebKit logo.svg
File:Week-end pleasure.jpg
File:William-Adolphe Bouguereau (1825-1905) - Thirst (1886).jpg
File:Worried little girl.jpg
File:Yakunchikova Fear.jpg
File:You may now kiss the bride.jpg
&lt;/gallery&gt;
{{center bottom}}
{{center top}}
For more images, search &lt;span class=&quot;plainlinks&quot;&gt;[http://commons.wikimedia.org/w/index.php?title=Special:Search&amp;fulltext=Search&amp;ns0=1&amp;ns1=1&amp;ns2=1&amp;ns3=1&amp;ns4=1&amp;ns5=1&amp;ns6=1&amp;ns7=1&amp;ns8=1&amp;ns9=1&amp;ns10=1&amp;ns11=1&amp;ns12=1&amp;ns13=1&amp;ns14=1&amp;ns15=1&amp;ns100=1&amp;ns101=1&amp;ns102=1&amp;ns103=1&amp;redirs=0&amp;search= wiki commons].&lt;/span&gt;
{{center bottom}}
&lt;noinclude&gt;
[[Category:Motivation and emotion]]
[[Category:Galleries]]
&lt;/noinclude&gt;</text>
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    <revision>
      <id>2804087</id>
      <parentid>2804082</parentid>
      <timestamp>2026-04-10T05:01:45Z</timestamp>
      <contributor>
        <username>Jtneill</username>
        <id>10242</id>
      </contributor>
      <comment>+ File:Empathy facial expression 2.png</comment>
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      <text bytes="4314" sha1="gcw2s5yt0j1ljl3xth6whzcaw3echrg" xml:space="preserve">&lt;noinclude&gt;
==About==
* These images may be useful for [[Motivation and emotion/Book|book chapter]]s
* Also consider searching or contributing images to [[commons:|Commons]]&lt;/noinclude&gt;
* For more info, see [[Motivation and emotion/Wikiversity/Figures|working with figures for the motivation and emotion book project]]

==Gallery==
* A collection of images related to [[motivation and emotion]] from [[commons:|Wikimedia Commons]]

{{center top}}
&lt;gallery&gt;
File:1944 JonWhitcomb USNavy (3214638694).jpg
File:2010 - A year plenty of Hopes.jpg
File:Adam and Eve (UK CIA P-1947-LF-77).jpg
File:AG LEADER.JPG
File:Alienation.jpg
File:Alma-Tadema Unconscious Rivals 1893.jpg
File:Amarguraubeda.JPG
File:Angelo Bronzino 003.jpg
File:Arianna e la sua lente.JPG
File:B&amp;W Happiness.jpg
File:BB-Bea.jpg
File:Bipolar Dyptych 1 365.jpg
File:Bundesarchiv Bild 183-1984-0809-003, Kyffhäuserhütte Artern, Jugendforscherkollektiv.jpg
File:Child's Angry Face.jpg
File:Concert exercise.jpg
File:Contempt.jpg
File:Crying child with blonde hair.jpg
File:Cycling Time Trial effort.jpg
File:De mulieribus claris - Marcia.png
File:Depression.jpg
File:Disgust expression cropped.jpg
File:Disgust1.jpg
File:Drill sergeant screams.jpg
File:Doctor Who (13).jpg
File:Edward Lear A Book of Nonsense 57.jpg
File:Eeg registration.jpg
File:El Lehendakari visita la nueva unidad de Resonancia Magnética del HUA (40116421582).jpg
File:Emo boy 03 in rage.jpg
File:Emotions wheel.png
File:Empathy and the brain.png
File:Empathy facial expression 2.png
File:Eros bobbin Louvre CA1798.jpg
File:Expression of the Emotions Figure 1.png
File:Expression of the Emotions Figure 20.png
File:Faradarmani.gif
File:Forestay-Eye-Round-seizings-Bulls-eye.jpg
File:Folsom Hula Hoop.png
File:Fragile Emotion cropped.jpg
File:Georg Friedrich Kersting Kinder am Fenster.jpg
File:Goals affirmation poster, Navy · DF-SD-04-09850.JPEG
File:Grass of Happiness.jpg
File:Gustave Courbet - Le Désespéré (1843).jpg
File:Inside my head.jpg
File:Interest.jpg
File:It's a Braun definitely.jpg
File:Just love cropped.jpg
File:Little girl buried up to her neck in sand.jpg
File:Lotus Reflects the Sun.jpg
File:Love Rush!.jpg
File:Love's Passing.jpg
File:Man eats at Volunteers of America soup kitchen Washington DC 1936.gif
File:Mary Magdalene Crying Statue.jpg
File:Mascia Ferri in Speed Skydiving.jpg
File:Mood dice.svg
File:Motivation &amp; Emotion.png
File:Motivation and Emotion Scrabble.jpg
File:Motivation Laptop.svg
File:Museum für Ostasiatische Kunst Dahlem Berlin Mai 2006 029.jpg
File:Naya, Carlo (1816-1882) - n. 553a - Carpaccio V. 1506 - Dettaglio del sogno di Santa Orsola (La testa della Santa) - Academia, Venezia.jpg
File:Noun emotion 1325508.svg
File:One hand handstand.jpg
File:Paris - Playing chess at the Jardins du Luxembourg - 2966.jpg
File:Person holding clock in front of head.jpg
File:Picswiss_UR-25-03.jpg
File:Plato Pio-Clemetino Inv305.jpg
File:Plutchik-wheel.svg
File:Portrait gemma and mehmet.jpg
File:Rock climbing (B&amp;W).jpg
File:Sadness 2.jpg
File:Sadness.jpg
File:Schadenfreude.png
File:Sépulcre Arc-en-Barrois 111008 12.jpg
File:Sigmund Freud LIFE.jpg
File:Smiling Brazilian girl (black and white).jpg
File:Smiling girl.jpg
File:Sophia (robot).jpg
File:Souvenir Seller - Moscow - Russia.JPG
File:SURPRISE.jpg
File:Thorunn3.jpg
File:Tug-of-war.jpg
File:Two people laughing.jpg
File:Two people with brain cogs turning.png
File:US Navy 100810-N-3013W-014 A Drug Education for Youth (DEFY) summer camp attendee from Naval Air Station Jacksonville climbs a rock wall during a goal setting exercise at Camp McConnell in Micanopy, Fla.jpg
File:Vault figure.jpg
File:Vincent Van Gogh - Sorrow.JPG
File:WebKit logo.svg
File:Week-end pleasure.jpg
File:William-Adolphe Bouguereau (1825-1905) - Thirst (1886).jpg
File:Worried little girl.jpg
File:Yakunchikova Fear.jpg
File:You may now kiss the bride.jpg
&lt;/gallery&gt;
{{center bottom}}
{{center top}}
For more images, search &lt;span class=&quot;plainlinks&quot;&gt;[http://commons.wikimedia.org/w/index.php?title=Special:Search&amp;fulltext=Search&amp;ns0=1&amp;ns1=1&amp;ns2=1&amp;ns3=1&amp;ns4=1&amp;ns5=1&amp;ns6=1&amp;ns7=1&amp;ns8=1&amp;ns9=1&amp;ns10=1&amp;ns11=1&amp;ns12=1&amp;ns13=1&amp;ns14=1&amp;ns15=1&amp;ns100=1&amp;ns101=1&amp;ns102=1&amp;ns103=1&amp;redirs=0&amp;search= wiki commons].&lt;/span&gt;
{{center bottom}}
&lt;noinclude&gt;
[[Category:Motivation and emotion]]
[[Category:Galleries]]
&lt;/noinclude&gt;</text>
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    </revision>
    <revision>
      <id>2804088</id>
      <parentid>2804087</parentid>
      <timestamp>2026-04-10T05:09:31Z</timestamp>
      <contributor>
        <username>Jtneill</username>
        <id>10242</id>
      </contributor>
      <comment>Reinstating File:Disappointment facial expression.jpg</comment>
      <origin>2804088</origin>
      <model>wikitext</model>
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      <text bytes="4463" sha1="8ryhg8o49eo0dd2x478eavuscl1yzou" xml:space="preserve">&lt;noinclude&gt;
==About==
* These images may be useful for embedding in [[Motivation and emotion/Book|book chapter]]s to help illustrate key points and to provide examples
* Also consider searching for other images or contributing images to [[commons:|Commons]]&lt;/noinclude&gt;
* For more info, see [[Motivation and emotion/Wikiversity/Figures|working with figures]] for the motivation and emotion book project

==Gallery==
* This is a gallery of images related to [[motivation and emotion]] which are available on [[commons:|Wikimedia Commons]]

{{center top}}
&lt;gallery&gt;
File:1944 JonWhitcomb USNavy (3214638694).jpg
File:2010 - A year plenty of Hopes.jpg
File:Adam and Eve (UK CIA P-1947-LF-77).jpg
File:AG LEADER.JPG
File:Alienation.jpg
File:Alma-Tadema Unconscious Rivals 1893.jpg
File:Amarguraubeda.JPG
File:Angelo Bronzino 003.jpg
File:Arianna e la sua lente.JPG
File:B&amp;W Happiness.jpg
File:BB-Bea.jpg
File:Bipolar Dyptych 1 365.jpg
File:Bundesarchiv Bild 183-1984-0809-003, Kyffhäuserhütte Artern, Jugendforscherkollektiv.jpg
File:Child's Angry Face.jpg
File:Concert exercise.jpg
File:Contempt.jpg
File:Crying child with blonde hair.jpg
File:Cycling Time Trial effort.jpg
File:De mulieribus claris - Marcia.png
File:Depression.jpg
File:Disappointment facial expression.jpg
File:Disgust expression cropped.jpg
File:Disgust1.jpg
File:Drill sergeant screams.jpg
File:Doctor Who (13).jpg
File:Edward Lear A Book of Nonsense 57.jpg
File:Eeg registration.jpg
File:El Lehendakari visita la nueva unidad de Resonancia Magnética del HUA (40116421582).jpg
File:Emo boy 03 in rage.jpg
File:Emotions wheel.png
File:Empathy and the brain.png
File:Empathy facial expression 2.png
File:Eros bobbin Louvre CA1798.jpg
File:Expression of the Emotions Figure 1.png
File:Expression of the Emotions Figure 20.png
File:Faradarmani.gif
File:Forestay-Eye-Round-seizings-Bulls-eye.jpg
File:Folsom Hula Hoop.png
File:Fragile Emotion cropped.jpg
File:Georg Friedrich Kersting Kinder am Fenster.jpg
File:Goals affirmation poster, Navy · DF-SD-04-09850.JPEG
File:Grass of Happiness.jpg
File:Gustave Courbet - Le Désespéré (1843).jpg
File:Inside my head.jpg
File:Interest.jpg
File:It's a Braun definitely.jpg
File:Just love cropped.jpg
File:Little girl buried up to her neck in sand.jpg
File:Lotus Reflects the Sun.jpg
File:Love Rush!.jpg
File:Love's Passing.jpg
File:Man eats at Volunteers of America soup kitchen Washington DC 1936.gif
File:Mary Magdalene Crying Statue.jpg
File:Mascia Ferri in Speed Skydiving.jpg
File:Mood dice.svg
File:Motivation &amp; Emotion.png
File:Motivation and Emotion Scrabble.jpg
File:Motivation Laptop.svg
File:Museum für Ostasiatische Kunst Dahlem Berlin Mai 2006 029.jpg
File:Naya, Carlo (1816-1882) - n. 553a - Carpaccio V. 1506 - Dettaglio del sogno di Santa Orsola (La testa della Santa) - Academia, Venezia.jpg
File:Noun emotion 1325508.svg
File:One hand handstand.jpg
File:Paris - Playing chess at the Jardins du Luxembourg - 2966.jpg
File:Person holding clock in front of head.jpg
File:Picswiss_UR-25-03.jpg
File:Plato Pio-Clemetino Inv305.jpg
File:Plutchik-wheel.svg
File:Portrait gemma and mehmet.jpg
File:Rock climbing (B&amp;W).jpg
File:Sadness 2.jpg
File:Sadness.jpg
File:Schadenfreude.png
File:Sépulcre Arc-en-Barrois 111008 12.jpg
File:Sigmund Freud LIFE.jpg
File:Smiling Brazilian girl (black and white).jpg
File:Smiling girl.jpg
File:Sophia (robot).jpg
File:Souvenir Seller - Moscow - Russia.JPG
File:SURPRISE.jpg
File:Thorunn3.jpg
File:Tug-of-war.jpg
File:Two people laughing.jpg
File:Two people with brain cogs turning.png
File:US Navy 100810-N-3013W-014 A Drug Education for Youth (DEFY) summer camp attendee from Naval Air Station Jacksonville climbs a rock wall during a goal setting exercise at Camp McConnell in Micanopy, Fla.jpg
File:Vault figure.jpg
File:Vincent Van Gogh - Sorrow.JPG
File:WebKit logo.svg
File:Week-end pleasure.jpg
File:William-Adolphe Bouguereau (1825-1905) - Thirst (1886).jpg
File:Worried little girl.jpg
File:Yakunchikova Fear.jpg
File:You may now kiss the bride.jpg
&lt;/gallery&gt;
{{center bottom}}
{{center top}}
For more images, search &lt;span class=&quot;plainlinks&quot;&gt;[http://commons.wikimedia.org/w/index.php?title=Special:Search&amp;fulltext=Search&amp;ns0=1&amp;ns1=1&amp;ns2=1&amp;ns3=1&amp;ns4=1&amp;ns5=1&amp;ns6=1&amp;ns7=1&amp;ns8=1&amp;ns9=1&amp;ns10=1&amp;ns11=1&amp;ns12=1&amp;ns13=1&amp;ns14=1&amp;ns15=1&amp;ns100=1&amp;ns101=1&amp;ns102=1&amp;ns103=1&amp;redirs=0&amp;search= wiki commons].&lt;/span&gt;
{{center bottom}}
&lt;noinclude&gt;
[[Category:Motivation and emotion]]
[[Category:Galleries]]
&lt;/noinclude&gt;</text>
      <sha1>8ryhg8o49eo0dd2x478eavuscl1yzou</sha1>
    </revision>
  </page>
  <page>
    <title>File:Handshake by Andraž Pelicon.jpg</title>
    <ns>6</ns>
    <id>134865</id>
    <revision>
      <id>2804110</id>
      <parentid>2470786</parentid>
      <timestamp>2026-04-10T08:49:40Z</timestamp>
      <contributor>
        <username>PieWriter</username>
        <id>3039865</id>
      </contributor>
      <minor />
      <comment>PieWriter moved page [[File:DSC03662.JPG]] to [[File:Handshake by Andraž Pelicon.jpg]] without leaving a redirect: Per request</comment>
      <origin>2470786</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="252" sha1="l40v3v686g2f0cqljemkf752e6dlxwc" xml:space="preserve">{{move|File:Handshake by Andraž Pelicon.jpg|more descriptive name}}

== Summary ==
{{Information
|Description=A handshake
|Source=own work
|Date=2012-8-17
|Author=Andraž Pelicon, Shtanjel
|Permission=
|other_versions=
}}

== Licensing ==
{{Fair use}}</text>
      <sha1>l40v3v686g2f0cqljemkf752e6dlxwc</sha1>
    </revision>
    <revision>
      <id>2804111</id>
      <parentid>2804110</parentid>
      <timestamp>2026-04-10T08:51:50Z</timestamp>
      <contributor>
        <username>PieWriter</username>
        <id>3039865</id>
      </contributor>
      <comment>Moved</comment>
      <origin>2804111</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="182" sha1="dlueuykhrghlqvqhw63sais42n3bepc" xml:space="preserve">== Summary ==
{{Information
|Description=A handshake
|Source=own work
|Date=2012-8-17
|Author=Andraž Pelicon, Shtanjel
|Permission=
|other_versions=
}}

== Licensing ==
{{Fair use}}</text>
      <sha1>dlueuykhrghlqvqhw63sais42n3bepc</sha1>
    </revision>
  </page>
  <page>
    <title>Understanding Arithmetic Circuits</title>
    <ns>0</ns>
    <id>139384</id>
    <revision>
      <id>2803929</id>
      <parentid>2803327</parentid>
      <timestamp>2026-04-09T14:00:07Z</timestamp>
      <contributor>
        <username>Young1lim</username>
        <id>21186</id>
      </contributor>
      <comment>/* Adder */</comment>
      <origin>2803929</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="3135" sha1="skgx6zqxw25ftr83tyo3h2lpf0u27k0" xml:space="preserve">
== Adder ==

* Binary Adder Architecture Exploration ( [[Media:Adder.20131113.pdf|pdf]]  )
 
{| class=&quot;wikitable&quot;
|-
!  Adder type      !! Overview !! Analysis !! VHDL Level Design  !! CMOS Level Design  
|-
| '''1. Ripple Carry Adder'''
|| [[Media:VLSI.Arith.1A.RCA.20250522.pdf|A]]||
|| [[Media:Adder.rca.20140313.pdf|pdf]]
|| [[Media:VLSI.Arith.1D.RCA.CMOS.20211108.pdf|pdf]]
|-
| '''2. Carry Lookahead Adder'''
|| [[Media:VLSI.Arith.1.A.CLA.20260109.pdf|org]], [[Media:VLSI.Arith.2A.CLA.20260408.pdf|A]], [[Media:VLSI.Arith.2B.CLA.20260304.pdf|B]] ||
|| [[Media:Adder.cla.20140313.pdf|pdf]]||
|-
| '''3. Carry Save Adder''' 
|| [[Media:VLSI.Arith.1.A.CSave.20151209.pdf|A]]||
|| ||
|-
|| '''4. Carry Select Adder''' 
|| [[Media:VLSI.Arith.1.A.CSelA.20191002.pdf|A]]||
|| || 
|-
|| '''5. Carry Skip Adder'''
|| [[Media:VLSI.Arith.5A.CSkip.20250405.pdf|A]]||
|| 
|| [[Media:VLSI.Arith.5D.CSkip.CMOS.20211108.pdf|pdf]]
|- 
|| '''6. Carry Chain Adder'''
|| [[Media:VLSI.Arith.6A.CCA.20211109.pdf|A]]||
|| [[Media:VLSI.Arith.6C.CCA.VHDL.20211109.pdf|pdf]],  [[Media:Adder.cca.20140313.pdf|pdf]]
|| [[Media:VLSI.Arith.6D.CCA.CMOS.20211109.pdf|pdf]]
|- 
|| '''7. Kogge-Stone Adder'''
|| [[Media:VLSI.Arith.1.A.KSA.20140315.pdf|A]]||
|| [[Media:Adder.ksa.20140409.pdf|pdf]]||
|-
|| '''8. Prefix Adder'''
|| [[Media:VLSI.Arith.1.A.PFA.20140314.pdf|A]]||
|| || 
|-
|| '''9.1 Variable Block Adder'''
|| [[Media:VLSI.Arith.1A.VBA.20221110.pdf|A]], [[Media:VLSI.Arith.1B.VBA.20230911.pdf|B]], [[Media:VLSI.Arith.1C.VBA.20240622.pdf|C]], [[Media:VLSI.Arith.1C.VBA.20250218.pdf|D]]||
|| || 
|-
|| '''9.2 Multi-Level Variable Block Adder'''
|| [[Media:VLSI.Arith.1.A.VBA-Multi.20221031.pdf|A]]||
|| || 
|}
&lt;/br&gt;
 
=== Adder Architectures Suitable for FPGA === 
* FPGA Carry-Chain Adder ([[Media:VLSI.Arith.1.A.FPGA-CCA.20210421.pdf|pdf]])
* FPGA Carry Select Adder ([[Media:VLSI.Arith.1.B.FPGA-CarrySelect.20210522.pdf|pdf]])
* FPGA Variable Block Adder ([[Media:VLSI.Arith.1.C.FPGA-VariableBlock.20220125.pdf|pdf]])
* FPGA Carry Lookahead Adder ([[Media:VLSI.Arith.1.D.FPGA-CLookahead.20210304.pdf|pdf]])
* Carry-Skip Adder
&lt;/br&gt;

== Barrel Shifter ==
* Barrel Shifter Architecture Exploration ([[Media:Bshift.20131105.pdf|bshfit.vhdl]], [[Media:Bshift.makefile.20131109.pdf|bshfit.makefile]])
&lt;/br&gt;

'''Mux Based Barrel Shifter'''
* Analysis  ([[Media:Arith.BShfiter.20151207.pdf|pdf]]) 
* Implementation 
&lt;/br&gt;

== Multiplier == 
=== Array Multipliers ===
* Analysis  ([[Media:VLSI.Arith.1.A.Mult.20151209.pdf|pdf]])
&lt;/br&gt;

=== Tree Mulltipliers ===
* Lattice Multiplication  ([[Media:VLSI.Arith.LatticeMult.20170204.pdf|pdf]])
* Wallace Tree  ([[Media:VLSI.Arith.WallaceTree.20170204.pdf|pdf]])
* Dadda Tree  ([[Media:VLSI.Arith.DaddaTree.20170701.pdf|pdf]])
&lt;/br&gt;

=== Booth Multipliers ===
* [[Media:RNS4.BoothEncode.20161005.pdf|Booth Encoding Note]]
* Booth Multiplier Note ([[Media:BoothMult.20160929.pdf|H1.pdf]])
&lt;/br&gt;

== Divider == 
* Binary Divider ([[Media:VLSI.Arith.1.A.Divider.20131217.pdf|pdf]])&lt;/br&gt;

&lt;/br&gt;
&lt;/br&gt; 
go to [ [[Electrical_%26_Computer_Engineering_Studies]] ]

[[Category:Digital Circuit Design]]
[[Category:FPGA]]</text>
      <sha1>skgx6zqxw25ftr83tyo3h2lpf0u27k0</sha1>
    </revision>
    <revision>
      <id>2803931</id>
      <parentid>2803929</parentid>
      <timestamp>2026-04-09T14:01:27Z</timestamp>
      <contributor>
        <username>Young1lim</username>
        <id>21186</id>
      </contributor>
      <comment>/* Adder */</comment>
      <origin>2803931</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="3135" sha1="lvu66wj4d0mu2uuy6pvkllcwecejnna" xml:space="preserve">
== Adder ==

* Binary Adder Architecture Exploration ( [[Media:Adder.20131113.pdf|pdf]]  )
 
{| class=&quot;wikitable&quot;
|-
!  Adder type      !! Overview !! Analysis !! VHDL Level Design  !! CMOS Level Design  
|-
| '''1. Ripple Carry Adder'''
|| [[Media:VLSI.Arith.1A.RCA.20250522.pdf|A]]||
|| [[Media:Adder.rca.20140313.pdf|pdf]]
|| [[Media:VLSI.Arith.1D.RCA.CMOS.20211108.pdf|pdf]]
|-
| '''2. Carry Lookahead Adder'''
|| [[Media:VLSI.Arith.1.A.CLA.20260109.pdf|org]], [[Media:VLSI.Arith.2A.CLA.20260409.pdf|A]], [[Media:VLSI.Arith.2B.CLA.20260304.pdf|B]] ||
|| [[Media:Adder.cla.20140313.pdf|pdf]]||
|-
| '''3. Carry Save Adder''' 
|| [[Media:VLSI.Arith.1.A.CSave.20151209.pdf|A]]||
|| ||
|-
|| '''4. Carry Select Adder''' 
|| [[Media:VLSI.Arith.1.A.CSelA.20191002.pdf|A]]||
|| || 
|-
|| '''5. Carry Skip Adder'''
|| [[Media:VLSI.Arith.5A.CSkip.20250405.pdf|A]]||
|| 
|| [[Media:VLSI.Arith.5D.CSkip.CMOS.20211108.pdf|pdf]]
|- 
|| '''6. Carry Chain Adder'''
|| [[Media:VLSI.Arith.6A.CCA.20211109.pdf|A]]||
|| [[Media:VLSI.Arith.6C.CCA.VHDL.20211109.pdf|pdf]],  [[Media:Adder.cca.20140313.pdf|pdf]]
|| [[Media:VLSI.Arith.6D.CCA.CMOS.20211109.pdf|pdf]]
|- 
|| '''7. Kogge-Stone Adder'''
|| [[Media:VLSI.Arith.1.A.KSA.20140315.pdf|A]]||
|| [[Media:Adder.ksa.20140409.pdf|pdf]]||
|-
|| '''8. Prefix Adder'''
|| [[Media:VLSI.Arith.1.A.PFA.20140314.pdf|A]]||
|| || 
|-
|| '''9.1 Variable Block Adder'''
|| [[Media:VLSI.Arith.1A.VBA.20221110.pdf|A]], [[Media:VLSI.Arith.1B.VBA.20230911.pdf|B]], [[Media:VLSI.Arith.1C.VBA.20240622.pdf|C]], [[Media:VLSI.Arith.1C.VBA.20250218.pdf|D]]||
|| || 
|-
|| '''9.2 Multi-Level Variable Block Adder'''
|| [[Media:VLSI.Arith.1.A.VBA-Multi.20221031.pdf|A]]||
|| || 
|}
&lt;/br&gt;
 
=== Adder Architectures Suitable for FPGA === 
* FPGA Carry-Chain Adder ([[Media:VLSI.Arith.1.A.FPGA-CCA.20210421.pdf|pdf]])
* FPGA Carry Select Adder ([[Media:VLSI.Arith.1.B.FPGA-CarrySelect.20210522.pdf|pdf]])
* FPGA Variable Block Adder ([[Media:VLSI.Arith.1.C.FPGA-VariableBlock.20220125.pdf|pdf]])
* FPGA Carry Lookahead Adder ([[Media:VLSI.Arith.1.D.FPGA-CLookahead.20210304.pdf|pdf]])
* Carry-Skip Adder
&lt;/br&gt;

== Barrel Shifter ==
* Barrel Shifter Architecture Exploration ([[Media:Bshift.20131105.pdf|bshfit.vhdl]], [[Media:Bshift.makefile.20131109.pdf|bshfit.makefile]])
&lt;/br&gt;

'''Mux Based Barrel Shifter'''
* Analysis  ([[Media:Arith.BShfiter.20151207.pdf|pdf]]) 
* Implementation 
&lt;/br&gt;

== Multiplier == 
=== Array Multipliers ===
* Analysis  ([[Media:VLSI.Arith.1.A.Mult.20151209.pdf|pdf]])
&lt;/br&gt;

=== Tree Mulltipliers ===
* Lattice Multiplication  ([[Media:VLSI.Arith.LatticeMult.20170204.pdf|pdf]])
* Wallace Tree  ([[Media:VLSI.Arith.WallaceTree.20170204.pdf|pdf]])
* Dadda Tree  ([[Media:VLSI.Arith.DaddaTree.20170701.pdf|pdf]])
&lt;/br&gt;

=== Booth Multipliers ===
* [[Media:RNS4.BoothEncode.20161005.pdf|Booth Encoding Note]]
* Booth Multiplier Note ([[Media:BoothMult.20160929.pdf|H1.pdf]])
&lt;/br&gt;

== Divider == 
* Binary Divider ([[Media:VLSI.Arith.1.A.Divider.20131217.pdf|pdf]])&lt;/br&gt;

&lt;/br&gt;
&lt;/br&gt; 
go to [ [[Electrical_%26_Computer_Engineering_Studies]] ]

[[Category:Digital Circuit Design]]
[[Category:FPGA]]</text>
      <sha1>lvu66wj4d0mu2uuy6pvkllcwecejnna</sha1>
    </revision>
  </page>
  <page>
    <title>User talk:Guy vandegrift</title>
    <ns>3</ns>
    <id>151687</id>
    <revision>
      <id>2803948</id>
      <parentid>2775914</parentid>
      <timestamp>2026-04-09T15:45:02Z</timestamp>
      <contributor>
        <username>~2026-22095-85</username>
        <id>3064874</id>
      </contributor>
      <comment>/* moves */ collapsing text b/c I lost my account password.  I am the real Guy vandegrift</comment>
      <origin>2803948</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="52759" sha1="qwps9ewoi0lkyqq23ce7gkww62gkje0" xml:space="preserve">&lt;div style=&quot;text-align:center; padding: 0.5em; border: solid 3px black; background-color: yellow;&quot;&gt;
'''[http://en.wikiversity.org/w/index.php?title=User_talk:Guy_vandegrift&amp;action=edit&amp;section=new Click here to leave a new message.]'''
&lt;/div&gt;[[File:Unclesamhumor.jpg|right|95px]]
&lt;small&gt;Archives:[[User_talk:Guy_vandegrift/Archive_1|1]] [[User_talk:Guy_vandegrift/Archive_2|2]] [[User_talk:Guy_vandegrift/Archive_3|3]]
[[User_talk:Guy_vandegrift/Archive_4|4]] 
[[User_talk:Guy_vandegrift/Archive_5|5]] 
[[User_talk:Guy_vandegrift/Archive_6|6]] 
[[User_talk:Guy_vandegrift/Archive_7|7]]
[[User_talk:Guy_vandegrift/Archive_8|8]] 
[[User_talk:Guy_vandegrift/Archive_9|9]] 
[[User_talk:Guy_vandegrift/Archive_10|10]]  
[[User_talk:Guy_vandegrift/Archive_11|11]]  
[[User_talk:Guy_vandegrift/Archive_12|12]]  
[[User_talk:Guy_vandegrift/Archive_13|13]]  
[[User_talk:Guy_vandegrift/Archive_14|14]]  
[[User_talk:Guy_vandegrift/Archive_15|15]]  
[[User_talk:Guy_vandegrift/Archive_16|16]]  
[[User_talk:Guy_vandegrift/Archive_17|17]]  
[[User_talk:Guy_vandegrift/Archive_18|18]] 
[[User_talk:Guy_vandegrift/Archive_19|19]] 
&lt;/small&gt;
__TOC__

{{cot|Collapsing because I cannot properly edit}}
== moves==

I reverted two of your moves, as these pages are included in a course and why should they be under the name of some user? Best regards, [[User:Bocardodarapti|Bocardodarapti]] ([[User talk:Bocardodarapti|discuss]] • [[Special:Contributions/Bocardodarapti|contribs]]) 09:25, 30 December 2023 (UTC)
:{{ping|Bocardodarapti}} &lt;big&gt;'''My apologies!'''&lt;/big&gt;  I am helping a crew attempting to clean up Wikiversity and it was put up for deletion.  In a twisted sort of way, you could say I &quot;rescued&quot; it by moving it into user space.  But I should have been more attentive and simply removed the deletion template.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 12:22, 30 December 2023 (UTC)
:{{ping|Dan Polansky|MGA73|Omphalographer|Dave Braunschweig|koavf}} This is why Dave and I prefer &lt;code&gt;&lt;nowiki&gt;{{subst:prod}}&lt;/nowiki&gt;&lt;/code&gt; to &lt;code&gt;&lt;nowiki&gt;{{delete}}&lt;/nowiki&gt;&lt;/code&gt;, and why I like to move pages to userspace.  Moving the page to userspace meant Bocardodarapti could instantly revert my mistake. Our most valuable &quot;customers&quot; are teachers who bring students to Wikiversity, and I hope some of these students become editors.  It's almost impossible to distinguish a newbie student from a crackpot editor.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 12:58, 30 December 2023 (UTC)
:: I generally support (do not oppose) moving pages to user space rather than deleting them, although for some low-grade material that is rather too kind. But I do not oppose acts of kindness as long as the impact is only on user space. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 13:04, 30 December 2023 (UTC)
:: About the specific page, [[Pi/Real cosine function/Definition]] has no business in the mainspace: it cannot be more useless. I support speedy deletion or moving it to user space. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 13:05, 30 December 2023 (UTC)
::: &lt;small&gt;For the record, I was wrong about [[Pi/Real cosine function/Definition]], as per [[Wikiversity:Colloquium#A discussion has been started on a large collection of orphaned_subpages]]. The page is a rather small module transcluded elsewhere, e.g. from [[Mathematics for Applied Sciences (Osnabrück 2023-2024)/Part I/Lecture 16]]. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 07:02, 31 December 2023 (UTC)&lt;/small&gt;
{{cob}}

== Files Missing Information ==
Thanks for uploading files to Wikiversity. All files must have source and license information to stay at Wikiversity. The following files are missing {{tlx|Information}} and/or [[Wikiversity:License tags]], and will be deleted if the missing information is not added. See [[Wikiversity:Uploading files]] for more information.
{{colbegin|3}}
* [[:File:Piano Prelude in C by Johann Sebastian Bach.pdf]]
{{colend}}
[[User:MaintenanceBot|MaintenanceBot]] ([[User talk:MaintenanceBot|discuss]] • [[Special:Contributions/MaintenanceBot|contribs]]) 18:20, 1 January 2024 (UTC)

== Files on Commons ==
{{Robelbox|theme=2|title=[[:Category:Files from USGS]] &amp; [[:Category:Files from Flickr]]}}&lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
Hi! Perhaps you could have a look at the files in [[:Category:NowCommons]]? I think many of the files in [[:Category:Files from USGS]] can be moved to Commons (if not allready there). It would be easier if the files allready there are deleted. --[[User:MGA73|MGA73]] ([[User talk:MGA73|discuss]] • [[Special:Contributions/MGA73|contribs]]) 21:18, 6 January 2024 (UTC)
:{{ping|MGA73}} While I contribute a lot to Commons, it's all my work. For that reason I know almost nothing about image copyright policy or fair use. Do you want me to delete image files on Wikiversity? I can do that if they are not currently being used. 

:I did remove [[:File:Uganda field trials2 lo.jpg]] after verifying that it is the same on commons and not being used on Wikiversity--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 21:59, 6 January 2024 (UTC)

:: Hi! If the file in on Commons you can delete the local file. Unless you think that it is a mistake that the file is on Commons. If the file have a different name on Commons then the pages where the local file is edited should be changed so they use the version on Commons first. --[[User:MGA73|MGA73]] ([[User talk:MGA73|discuss]] • [[Special:Contributions/MGA73|contribs]]) 11:53, 7 January 2024 (UTC)

::: There are also some files in [[:Category:Files from Flickr]] that I'm trying to get moved to Commons. --[[User:MGA73|MGA73]] ([[User talk:MGA73|discuss]] • [[Special:Contributions/MGA73|contribs]]) 12:36, 7 January 2024 (UTC)

::::Due to my lack of experience and knowledge regarding the hosting of images by Wikiversity, I will refer this matter to [[Wikiversity:Request custodian action]].--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 23:06, 7 January 2024 (UTC)

&lt;/div&gt;
{{Robelbox-close}}

==Thanks==
Hey Guy, thanks for salvaging some of my work some time ago. A while ago I found WV too tension-ridden to practically develop a course. I am planning to try again.[[User:Leutha|Leutha]] ([[User talk:Leutha|discuss]] • [[Special:Contributions/Leutha|contribs]]) 16:18, 16 February 2024 (UTC)
:{{ping|Leutha}} You are welcome.  I am still trying to salvage the work of people who take wikibreaks. See [[Wikiversity:Colloquium#How_to_handle_very-low-value_pages_AKA_deletion_and_move_to_userspace_convention]]-[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 16:30, 16 February 2024 (UTC)

==Thank you for all the work==
Let me thank you for all the work you are doing here to help cleanup Wikiversity, striking a balance between kindness and cleanup. In so far as other admins do not seem to do as much, it is unique service. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 15:46, 22 February 2024 (UTC)

== Offensive username ==

Dear custodian,


Your words :

&lt;nowiki&gt;*&lt;/nowiki&gt;&lt;nowiki&gt;''&lt;/nowiki&gt;See also &lt;nowiki&gt;[[w:Bona dea]]&lt;/nowiki&gt;&lt;nowiki&gt;''&lt;/nowiki&gt;

&lt;nowiki&gt;{{cot|Not a request to delete, but&lt;/nowiki&gt;&lt;ins&gt; to space-consuming effort&lt;/ins&gt;&lt;nowiki&gt; to change the username &quot;Bonadea&quot;}}&lt;/nowiki&gt;

Username policy :


&quot;Names of religious figures such as &quot;God&quot;, &quot;Jehovah&quot;, &quot;Buddha&quot;,  &quot;Allah&quot;, or &quot;Bonadea&quot; which may offend other people's beliefs&quot;

Please send a post to user [[user:bonadea]] talk page ,advise him change username.

== Dear Prof. Guy Vandegrift ==

I am grateful for your great work in Wikiversity, a fantastic tool for development of science. Unfortunately I am blocked in &quot;Remission of prediabetes&quot; what can i do? Thank you very much!
&quot;Saltrabook&quot; 
Dr. Olaf Jensen, prof. emer. University of Southern Denmark ocj@health.sdu.dk [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 14:51, 1 March 2024 (UTC) 

:I think you are just blocked from creating pages. You create pages at such a high rate you must by copying and translating, which is a copyright violation.  Also, this many page creations is  disruptive to Wikiversity.  Don't worry, we will work this through together.  My understanding is that you want to create the page [[Remission of prediabetes]], right?--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 14:54, 1 March 2024 (UTC)
::My understanding is that you want to create the page Remission of prediabetes, right?--Guy vandegrift (discuss • contribs) 14:54, 1 March 2024 (UTC). Yes, &quot;Remission of prediabetes&quot; is a precise main page name, I am sorry, I have to learn when can i start? [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 16:19, 2 March 2024 (UTC)
:::Our concern is that you are creating a large number of pages, and they disrupt our wiki.  Are you copying these pages or using a translation software program to create them?--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 16:22, 2 March 2024 (UTC)

== MATLAB/Octave ==
Do you think it would be a good idea to restore [[MATLAB/Octave]] (deleted in 2021) and move it to [[Draft:Archive/2024/MATLAB/Octave]]? I could then have a glance at it and see whether anything could be salvaged for [[GNU Octave]] page. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 09:22, 3 March 2024 (UTC)
:{{ping|Polansky}} I undeleted it.  It was I who deleted with comment to the effect that there are too many errors for me to fix.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 14:23, 3 March 2024 (UTC)
:: Thank you. I did not realize you were the author of the &quot;[[MATLAB/Octave]]&quot; page. There does not seem to be any material usable for [[GNU Octave]]: the bulk of the page is about installing Octave, then there is a short guide to Unix/Linux commands (help, cd, dir, mkdir, rmdir), etc. But almost nothing on Octave per se.
:: Should I moved it to [[Draft:Archive/2024]] or do you want to have it deleted again? (I am fine with both.) --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 14:42, 3 March 2024 (UTC)
:::I know I deleted it, but don't remember why.  I will go ahead and re-delete.  Thanks for looking into that. Also, I have an important question: '''How did you know that the page even existed if it was deleted?''' --[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 15:22, 3 March 2024 (UTC)
:::: The [[MATLAB/Octave]] page was a redlink in [[MATLAB]] before I edited [[MATLAB]] to remove the redlink. It is still a redlink (currently blue) in [[Physics equations/07-Work and Energy/Q:cart1/history]]. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 15:33, 3 March 2024 (UTC)
:::::Thanks.  I should have thought of that as the most likely explanation.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 15:38, 3 March 2024 (UTC)
::::::correct, Danish mother language, med dr. specialist dr. in occupational medicine and 32 years in maritime pub.health occupational medical research in the University Southern Denmark, latest 18 year mainly living in Panama working with Spanish speaking people. I started the Occupational Medical Wikibook, now finished, 10 years ago to fill out the lack of occupational medicine textbook in Panama. Would be grateful if I could have access to the blocked pages on &quot;Prediabetes remission&quot; then i would locate them all in the new space, have no personal things to hide, my name is not to hide. Thank you for all your help [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 21:46, 6 March 2024 (UTC)

== [[special:redirect/logid/3389938]] ==

Please check if you moved to the right namespace. Did you mean to move into userspace? [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 02:58, 5 March 2024 (UTC)
::Yes, of course.  Thanks for catching that. P.S. I like the economy of your link &lt;code&gt;&lt;nowiki&gt;[[special:redirect/logid/3389938]]&lt;/nowiki&gt;&lt;/code&gt;. Where can I find a list of such tricks? (I would have had to use an external link)--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 03:02, 5 March 2024 (UTC)
::: I think [[:w:Help:Special_page#Available_special_pages]] can help you. [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 03:14, 5 March 2024 (UTC)

==Request from Saltrabook to move large project into draftspace==
Hello Guy, please establish one main page as you offered, &quot;Prediabetes diagnostics and remission&quot;, and move my blocked pages to that one, thank you very much--[[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 16:49, 9 March 2024 (UTC)
:It's not really my decision. Wikiversity is a quasi-democracy and we need the consent of something we call &quot;the community&quot;. I will set up your user page so that you can use the pages you already created.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 17:52, 9 March 2024 (UTC)
::Thank you very much, perfect [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 18:04, 10 March 2024 (UTC)

:See '''[[user:Saltrabook]]''' for your current project. I has several nearly blank pages for you to work on.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 17:09, 9 March 2024 (UTC)
::Please delete these or ask for deletion, of all nearly empty page, sorry for these problems, thank you very much [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 17:35, 10 March 2024 (UTC)
:::I thought you might like those pages for your work.  It is better to write a few long pages than lots of little ones.  If it's OK with you, I would like to keep those pages where they are.  You might change your mind and write something on them.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 02:59, 11 March 2024 (UTC)

{{ping|Saltrabook}} Here is a list of pages where you can continue to work.  When a page is complete, let me know and I will rename it.  
{{colbegin}}
#[[User:Saltrabook/empty page-1]]
#[[User:Saltrabook/empty page-2]]
#[[User:Saltrabook/empty-page 3]]
#[[User:Saltrabook/empty-page 4]]
#[[User:Saltrabook/empty-page 5]]
#[[User:Saltrabook/sandbox]]
{{colend}}
Please try and write large pages.  Too many pages on this topic is disruptive to our wiki.19:25, 14 March 2024 (UTC)

== Reconstruction of the delete pages ==

sorry, i dont think I can reconstruct these pages except for one, the manuscript under submission to publication, Prediabetes remission to normoglycemic status. [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 13:30, 16 March 2024 (UTC)
:Where was it submitted? It would help if I knew why you can't reconstruct it: Did you discard your own copy of the draft when you submitted it? Or, do the journal's rules prohibit you from posting a submitted article due to copyright law?--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 13:40, 16 March 2024 (UTC)

== Original writings, ==

I am the author, I dont use translating software and no copy of previous published material. Sometimes i cite my own writings in the published scientific articles, but very little. Now going through the list of pages and add {{tl|db-author}} at the top - i have to be better to clean up - thank you [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 19:34, 18 March 2024 (UTC)
:{{ping|Saltrabook}} DO NOT ADD {{tl|db-author}} TO YOUR PAGES!!!!! They are deletion requests.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 20:54, 18 March 2024 (UTC)

== [[Draft:Archive/2024/Institut Teknologi PLN]] ==

With respect to [[Wikiversity:Request_custodian_action/Archive/25#University_advertisements_on_Wikiversity]], PROD should have been processed rather than archiving the page. [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 05:29, 19 March 2024 (UTC)
:{{ping|MathXplore}} Two questions:
::#Do you want me to put it back into mainspace with the same prod? (If so, I will)
::#(to be continued after I checkout what happened)--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 05:41, 19 March 2024 (UTC)
:: I think non-English content should not be moved to the mainspace, so it should remain in the current position with the prod. [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 05:44, 19 March 2024 (UTC)
:::I will move it back, but according to [https://en.wikiversity.org/w/index.php?title=Draft:Archive/2024/Institut_Teknologi_PLN&amp;oldid=2572456 2572456]], the expiration for deletion was today. Following previous practice, I thought that allowed a deletion.  Do you want to change things; or am I wrong about previous practice?--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 05:49, 19 March 2024 (UTC)
:::: Please feel free to delete the page, I don't think anyone else is working on the translation. [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 05:56, 19 March 2024 (UTC)
:::Also, I am confused about your terminology. It's in draftspace, not mainspace.  Perhaps you meant to say that the prod should not have been dewikified.  Are you saying that you want the prod to remain while it is in draft-archive space? I can do that.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 05:52, 19 March 2024 (UTC)
:::: I apologize if my words have caused any confusion. Yes, I just wanted to say that the prod should not be dewikified. [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 05:57, 19 March 2024 (UTC)
:::::Keep in mind that the entire [[Draft:Archive]] &quot;resource&quot; is just an experiment. The question of whether prods should be deleted was never sorted out in my mind.  Keeping the prods in place makes for a cleaner Draft:Archive-space.  But it also adds work for us.  I thinking somebody might make a bot to dewikify all links and all templates. That would make Draft:Archive-space sterile.  We could even have a bot that blanked all pages that are over 2 years old. ... The idea is that draft-archive-space would be essentially equivalent to outright deletion, except that all users could veiw and effectively &quot;undelete&quot;.  Such a policy makes no sense on Wikipedia, where the goal is to create a useful encyclopedia.  But Wikiversity's mission is to allow people to learn.  And most of us learn by making mistakes.  That means our mistakes should never truly be deleted (just hidden from view.) ... P.S. Don't worry, I have a lot of strange ideas.  But I don't fight for them. Henceforth prods will remain active for pages in draft-archive space.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 06:10, 19 March 2024 (UTC)
::::::I will delete [[Draft:Archive/2024/Institut Teknologi PLN]].  The page is not important. It's the policy that is important.  The &quot;mistake&quot; of not writing in English is not worth preserving for the benefit of authors who want to re-examine how they approach the art of writing.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 06:15, 19 March 2024 (UTC)

== CFC talkback ==

{{talkback|Wikiversity:Candidates_for_Custodianship/MathXplore#Questions_for_the_candidate}} [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 03:06, 20 March 2024 (UTC)

== [[Surreal numbers]] ==
Greetings. I am not clear why you are removing the page from RFD before the RFD run its course. Surely whether the page should be moved out of mainspace should depend on what kind of consensus emerges from the RFD? And before the RFD is closed, the page should remain tagged with {{tlx|rfd}}? --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 11:01, 26 March 2024 (UTC)
:Are you talking about the pages that I archived and mentioned at [[Wikiversity:Requests_for_Deletion#List_of_unresolved_deletion_requests]]? --[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 11:08, 26 March 2024 (UTC)
:: No, I am talking about removal of {{tlx|rfd}} that took place in [[Special:Diff/2615731/2615793]], which took place despite the RFD not yet being closed/resolved (my message was a bit confusing: the page was not fully removed from RFD but only as for removal of the template). --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 11:15, 26 March 2024 (UTC)
:::With only a single author, the choices are keep, subpagify, or delete.  The pages will likely become mathematics subpages and I will bring the matter up on appropriate mathematics talk pages. But both pages are sufficiently related to physics that they can go into [[Physics/Essays]].  I don't need permission from the community to put a page under [[Physics]] because that is my specialty. I changed the rfd template because there is no reason for rfd to be involved.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 11:43, 26 March 2024 (UTC)
:::: Does it mean that you can single-handedly close a RFD nomination as &quot;rejected&quot; without waiting for the result of the discussion? I did not nominate the page for RFD only to have it kept in mainspace. And if there is a disagreement about what should happen to the page--as seems to be the case--that is all the more reason to run the RFD process. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 11:51, 26 March 2024 (UTC)
:::::It means exactly that your RFD nomination was &quot;rejected&quot; without waiting for the result of the discussion. I also reverted your rfd on [[Rational numbers/Introduction]]. The author in question also created the top page, and Bureaucrat [[User:Dave Braunschweig|Dave Braunschweig]] apparently consented. The community can revert Dave's decision. But you cannot.[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 12:47, 26 March 2024 (UTC)

== Prediabetes Remission ==

Guy, please, can you help to create a new main page entitled &quot;Prediabetes Remission&quot; without &quot;maritime&quot; , for use with other transport sectors, e.g. truckers, taxi drivers etc. jobs with biannual medical health examination, to identify those with an A1C level of 39-47 mmol/L (5.7%-6.4%) (prediabetes) who are not (yet) taking medication for diabetes,
thank you [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 19:53, 29 March 2024 (UTC)

Here it is [[User:Saltrabook/Prediabetes Remission]]

It can be moved to [[Prediabetes Remission]] but that requires going though a committee.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 21:02, 29 March 2024 (UTC)

== [[Differential equations/Ordinary Differential Equations]] ==
I will not send this page to RFD to reduce conflict, by to my mind, this page is clearly junk. One should be able to understand what this page is about without reading its parent page. The page is all too typical of Wikiversity: no sources, no definitions, a haphazard/incoherent collection of sentences and this junk is supposed to be &quot;learning material&quot;. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 14:31, 31 March 2024 (UTC)
:[[Special:Diff/2617022/2617520|''This edit'']] makes no sense to me.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 16:21, 31 March 2024 (UTC)

== Possible deletion overload ==
If I am overloading you by deletion nominations, one remedy could be that I would take longer breaks in making them. Thus, there would be longer sequences of days during which I make no nominations, especially do not hit &quot;Random&quot; button to find more junk. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 15:04, 31 March 2024 (UTC)
:Why don't you create a page somewhere and simply list the pages you think we should delete?  We no idea when WV is going to formulate an updated deletion policy. And, if another custodian wishes to moderate the deletions, I will be happy to step aside. Then you can bring up your list.  Place the list wherever you wish, but I suggest [[WV:WGW2024#Personal_subpages_(with_visual_editing)]]--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 15:24, 31 March 2024 (UTC)
:: I am confused about your statements about need to update ''policy''. Since, I am proceeding in accordance with the current guidelines (some do not have &quot;policy&quot; status) that I can find, including [[WV:Deletions]], [[WV:Verifiability]] and [[WV:What is Wikiversity?]]. You make it sound as if we need to wait for some kind of policy update, and I am not clear what you mean. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 15:31, 31 March 2024 (UTC)
:::I don't have a good answer to your question. [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 15:35, 31 March 2024 (UTC)
::Hey, I just had a better idea: I will create the &quot;personal subpage&quot; with a name like &quot;Proposed deletions&quot;.  Then all deletion requests based on low quality can go there, temporarily. That resolution will allow me to remove the stuff posted at [[Wikiversity:Request custodian action]] [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 15:32, 31 March 2024 (UTC)
::: I think I am better served by stepping back from deletions for a week or two rather than starting to do something nonstandard. I am puzzled why the things standard in the English Wiktionary and the English Wikipedia are supposed not to work in the English Wikiversity. It is as if there were some kind of RFD-phobia, something unseen in the English Wiktionary. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 15:34, 31 March 2024 (UTC)
::::I think the problem is that Wikiversity has never had a clear mission.  It's name sounds like the mission of a conventional University, but universities do everything: Childhood education, football games, poetry, art, student essays, student newspapers, you-name-it.  The original plan was to host teaching materials for people to share.  And, &quot;reasearch&quot; is hard to define.  Maybe [[Student Projects]] is a research project into how students write.  My &quot;call-for-essays&quot; on a page you tried to delete certainly was research into how we can get more students involved with Wikiversity.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 15:41, 31 March 2024 (UTC)
::::: Does the above really match [[WV:Deletions]], [[WV:Verifiability]] and [[WV:What is Wikiversity?]] ? --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 15:51, 31 March 2024 (UTC)
::::::I don't have time to read those pages now.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 16:29, 31 March 2024 (UTC)

== Regarding Genetics/Human Leukocyte Antigen/Linkage Disequilibrium/DR-DQ Blocks ==

Dear Mr. Guy Vandegrift,

According to the log file for the page [[Genetics/Human Leukocyte Antigen/Linkage Disequilibrium/DR-DQ Blocks|Genetics/Human Leukocyte Antigen/Linkage Disequilibrium/DR-DQ Blocks - Wikiversity]], you deleted it [https://en.wikiversity.org/w/index.php?title=Special:Log&amp;logid=3335327 21 December 2022]. I work in a lab which performs blood tests for celiac disease and we used this page periodically in our assessments of genetic risk for celiac disease, in order to see repported haplotypes. Could you please reactivate the page, if possible, or provide us a copy of it? Thank you in advance!

Best regards,

Nicolae Miron MD [[User:Nicolae.Miron|Nicolae.Miron]] ([[User talk:Nicolae.Miron|discuss]] • [[Special:Contributions/Nicolae.Miron|contribs]]) 11:16, 2 April 2024 (UTC)

==change main page name==
Im sorry, i dont understand, why i cannot change the main page. We need to change the main page name to &quot;Pre-diabetes Remission-Net&quot; as we expand our activites to include other than the maritime area to be stronger in research and intervention practice with other researchers and occupational health practicers e.g. the Truck-drivers [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 16:59, 2 April 2024 (UTC)

:{{ping|Saltrabook}} Is this what you want?
:* [[User:Saltrabook/Pre-diabetes Remission-Net]]
:[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 19:04, 2 April 2024 (UTC)
:Yes, please, this is what i want, then the original title with &quot;Maritime Health Research and Education&quot; will be a subtitle.  Thank you very much [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 22:00, 2 April 2024 (UTC)
::Let me know if you need anything else. [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 22:12, 2 April 2024 (UTC)

==[[Number Theory/Surreal numbers]]==
&quot;Surreal numbers&quot; are misplaced since &quot;number theory&quot;, despite its name, does not concern itself with any and all numbers but rather with ''positive integers''. The move of [[Surreal numbers]] is therefore not only unnecessary/unhelpful but also incorrect. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 06:23, 3 April 2024 (UTC)
:I see your point.  I will move it back to [[Surreal numbers]] ... Actually, the topic more resembles set theory, or perhaps an alternative view of numerical analysis.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 11:20, 3 April 2024 (UTC)
:: (A non-actionable aside) At the university where I studied, if this was covered at all, it would have probably been covered in set theory classes since set-theoretic construction of rational numbers was covered there. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 12:24, 3 April 2024 (UTC)

More on [[Surreal numbers]]: I think using chatbots to write articles to &quot;save&quot; them is a poor plan. Mistakes are likely to be countless. Here is one: &quot;Real numbers is defined to include positive and negative rational numbers (p/q where p and q are integers), as well as irrational numbers (π and 21/2), but with a twist: Also included are not one, but an infinite number of infinities, along with a similar collection of &quot;zeros&quot;, often called ε (in the limit that ε→0.)&quot; Well, you mean &quot;Real numbers&quot; --&gt; &quot;Surreal numbers&quot;, right? --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 12:55, 3 April 2024 (UTC)

:That wasn't the chatbot. That was my writing, and I agree that it is garbled.  Chatbots don't make mistakes like this. If you want to see the chatbot's words, visit [[Chatbot math/Gemini/24.03/Surreal numbers]]. [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 13:34, 3 April 2024 (UTC)
:: Ah, that makes sense. Incidentally, is [[Chatbot math/Gemini/24.03/Surreal numbers]] a correct location or does it belong to Gemini? --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 14:07, 3 April 2024 (UTC)
:::Thanks. I moved it to Gemini... Also, the problem with Chatbots on Wikiversity isn't low quality, but the ability to create too much prose and too many pages.  A student who writes on bad essay that goes into a collection of bad essays does not much hurt WV.  It's the students who creates hundreds of pages, uploads thousands of files, or creates megabytes of text that overwhelms the system.  A student who writes one short essay has a non-zero probability of coming back to it and learn.  The student who writes reams of prose will never re-read it and never learn from the experience.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 14:51, 3 April 2024 (UTC)

== Prediabetes Remission-Net ==

Please create a new page, Prediabetes Remission-Net and dono replace &quot;Maritime Research and Education-Net (Mahre-Net) stay untuched. thank you very much [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 17:59, 3 April 2024 (UTC)

Here is your new page:
*[[User:Saltrabook/Prediabetes Remission-Net]] 
:--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 20:55, 3 April 2024 (UTC)

== Bureaucratship ==

Per [[Wikiversity:Candidates for Custodianship#Nominations for Bureaucratship]], you are now a bureaucrat. Congratulations! -- [[User:Dave Braunschweig|Dave Braunschweig]] ([[User talk:Dave Braunschweig|discuss]] • [[Special:Contributions/Dave Braunschweig|contribs]]) 02:00, 8 June 2024 (UTC)

Congratulations! Please feel free to reach out to me if you'd like any advice. --[[User:Mu301|mikeu]] &lt;sup&gt;[[User talk:Mu301|talk]]&lt;/sup&gt; 14:01, 11 June 2024 (UTC)

== I think we should keep our eyes on [[User:Username142857]] ==

Thank you for choosing to join the bureaucrat team. I was recently sending messages to [[User talk:Username142857]] and I noticed that you have already communicated with them in the past. I want you to note that [[User:Username142857]] has more issues apart from page creation. I have already explained to them, but if you have anything else to add, that may be helpful for [[User:Username142857]]. Thank you for your contributions. [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 03:27, 9 June 2024 (UTC)

:I just now examined enough of your interactions with them to agree with you.  The problem of too many questions might be solved by a topic ban on Wikiversity discussions. On the creation of marginal pages, we have a [[wikt:plethora|plethora]] of options.  And this user is only a microscopically small fraction of that problem. [[User:Guy vandegrift/2024/User monitoring|I will monitor this user's contributions]] and will let you know if I have any ideas. [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 04:43, 9 June 2024 (UTC)

== Plausible yet untrue ==
I propose to remove the following statement from mainspace:

: &quot;If a mathematical statement is both plausible and useful, I honestly don't care if it is true.&quot;

It is a dangerous statement, expressing a dangerously cavalier attitude toward mathematical truth. I personally got burned by reaching a mistaken conclusion about a particular mathematical hypothesis by abandoning the mathematical rigor; although my attitude was not that truth does not matter but rather that in that case the less than rigorous argument was sufficient to establish the truth, which it was not. That is not to say that intuitive arguments and plausibility checks never have value, but rather that in case of doubt, at least checking a reliable source is the minimum one should do, even if one does not try to follow the proof.

Using the above attitude, one may naively peruse e.g. Google's Gemini, make it output &quot;useful&quot; somewhat plausible statements, and end up in error real fast. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 04:48, 13 June 2024 (UTC)

:A good example is the [[w:Dirac delta function|dirac delta function]], which is not a function and cannot be graphed. Yet, by sketching a graph you can &quot;prove&quot; that &lt;math display=&quot;inline&quot;&gt;\int_{-\infty}^{\infty} \delta'(x)dx =-f'(0).&lt;/math&gt; It is entirely plausible that this result was known before a proper definition of this [[w:Distribution (mathematics)|distribution]] was established. A better example is probably renormalization theory. I am pretty sure it was being used in physics before it was fully understood. To your point, however, '''&quot;I honestly don't care...&quot;'''should probably be replaced by '''&quot;I usually don't care...&quot;'''.  Also, I purposely placed that sentence at the top as a warning to the reader not to make the mistake you alluded to.

:It's an educational resource -- sort of &quot;research for students&quot;.  When it is finished, I plan to introduce the term '''''&lt;big&gt;Conjecture?:&lt;/big&gt;'''''''' in place of ''postulates'', ''theorems'', and ''corollaries''.  Each &quot;Conjecture?&quot; would contain a link to a page where students could discuss its veracity.  After drifting between research jobs, I finally landed a teaching position where I could apply for a grant to build a plasma device with students.  That induced me to look back on research that was done many years ago on the same subject.  I was shocked that in retrospect, almost most publications back then were highly flawed.  Maybe computer science is more precise, because it is usually obvious when computer code doesn't work.  But with attempts to predict the behavior of a magnetically confined plasma, most predictions are wrong. 

:One more thing: Cable news in the US is plagued by commentators pretending to be newscasters making claims like &quot;''People are saying that this person is ...''&quot; This is a serious problem that threatens our democracy.  But surreal number theory has often be called &quot;recreational math&quot;. It's supposed to be fun.

It's nice to hear from you!--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 14:42, 13 June 2024 (UTC)

== Ideas about consciousness after death and other topics ==
Dear Guy vandegrift, I read your arguments on the topic ''[[Will we lose our consciousness after we die?]]''. Your arguments sound very interesting, but as a layperson (I don't actually understand anything about physics), I don't actually understand any of it, let alone how it relates to the continuation of consciousness after death. But I really want to understand it. I read on your user page that you are a retired physics professor. Could you explain in simple terms what your arguments are for the continuation of the consciousness after death?

Additionally, I am also curious about your opinion on my philosophical ideas–about how reality might function–which I have described on [[Wikiphilosophers]]. What do you think about topics such as free will, the meaning of life, past lives, paranormal phenomena and extraterrestrial life? I look forward to hearing from you! Kind regards, [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 23:59, 28 July 2024 (UTC)

:Several thoughts:
:#We need to distinguish between &quot;perception&quot; and &quot;reality&quot; the person in the parallel universe will think he is me.  If perception is reality, then he is me.  But of course, he is not me.
:#Regarding the physics, the &quot;Hubble volume&quot; is roughly the same everything we can see using the most powerful telescopes.  I can't guarantee that this is explained in [[Wikipedia:Hubble volume]] (which is why we need Wikiversity.)  
:#I took two philosophy courses (one in high school and the other in college) and found it a fascinating subject.  Afterwards, I read a book on a 18th or 19th century philosopher (whose name I forgot).  I was impressed by the ideas put forth by this philosopher, but cannot remember a single thing from that book (I read it about 50 years ago.)
:#My background in physics gave me a perspective about reality that I believe is shared by many if not most physicists:  Reality can not be understood; it can only be predicted.  The predictions involve mathematics, and every known mathematical model is incomplete or flawed in some way.  For that reason, I can only  view consciousness as something other people claim to have: Humans have brains that cause them to claim they possess consciousness.  
:[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 00:08, 29 July 2024 (UTC)
::Thank you for your response! Coincidentally, I created an article today on the Dutch Wikipedia about ''universeel bewustzijn'' ({{w|universal mind}}) and I wrote something about the thoughts of philosopher and computer technologist Bernardo Kastrup. According to him, the relationship between our psyche and the rest of consciousness might resemble that of patients with {{w|dissociative identity disorder}}. If such a dissociative identity disorder could occur on a cosmic level, then people might all be alters of one universal consciousness. Each individual would then have a different perspective on the world and unique physical properties, all stemming from the same underlying consciousness. Is that also what you meant with your thoughts that you just explained to me? Or should I see it (completely) differently? [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 00:18, 29 July 2024 (UTC)
:::I think there might be a connection between dissociative identity disorder and the fact that I cannot define consciousness (or even imagine how a definition could exist.) [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 00:28, 29 July 2024 (UTC)
::::Fascinating! I think that consciousness cannot be defined or explained either—it goes far beyond our human cognitive abilities. I believe that we can only experience consciousness. We only know what it feels like to be one with consciousness when we are actually one with consciousness. But still, I feel a strong urge or need to understand it as a human, haha. That must be my human ego which is determined and prideful. But still, I feel a sigh within me saying: &quot;Man, what are you doing?&quot;
::::And what do you think about other topics such as paranormality and the mystical? [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 00:36, 29 July 2024 (UTC)
:::::My grandparents and great grandparents on my fathers side were into [[w:Table-turning]].  My sister and I tried it as children, but nothing happened. [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 02:19, 29 July 2024 (UTC)
::::::Interesting! Personally, I think I possibly have experiences with reincarnation memories, contact with the deceased, energies from crystals and paranormal occurrences following conversations with psychotic persons. [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 12:54, 29 July 2024 (UTC)
::::By the way, what do you think about the statement ''{{w|Cogito, ergo sum}}''? Kind regards, [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 00:38, 29 July 2024 (UTC)
:::::I read somewhere that it only makes sense if it is a personal reflection.  Recordings of or AI generated sound bytes claiming to 'exist' are clearly unconvincing. [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 09:13, 29 July 2024 (UTC)
::::::That's an interesting question—will AI ever develop self-awareness and consciousness? Personally, I think it could be possible, provided that neuroscience collaborates with computer science and makes revolutionary discoveries, such as connecting AI to a human brain and implanting a brain into a robot. But I am not sure. Kind regards, [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 15:12, 29 July 2024 (UTC)
:: (Butting in) A sketch of a definition: consciousness is that thing that a human loses when he/she falls asleep. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 05:17, 29 July 2024 (UTC)
:::{{ping|Dan Polansky}}That definition is informal, but I like it. [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 09:03, 29 July 2024 (UTC)
::::My definition of consciousness would be: that which is aware of the existence of itself and its environment, in whatever reality or state it may be. [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 07:42, 29 July 2024 (UTC)
:::::So by that definition, would a dreaming person be in a conscious state? [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 23:36, 30 July 2024 (UTC)
::::::I would differentiate the term ''consciousness'' and ''awareness''. I see consciousness as something even deeper than the {{w|soul}} or {{w|Spirit (supernatural entity)|spirit}}, because both entities are also conscious. I think someone who dreams, certainly has a consciousness (even though the person is not aware of the world in which he is sleeping), but it is located elsewhere, perhaps outside the brain. I am convinced that consciousness goes beyond the brain and I would even venture to say that all consciousnesses are connected through a {{w|universal consciousness}}. But maybe it's the wrong term I am using for it—that may cause confusion. I just don't know any other term that is better. [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 23:58, 30 July 2024 (UTC)
:::::::Perhaps ''{{w|mental substance}}'' is a better term? This was used by {{w|René Descartes}}. Kind regards, [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 00:16, 31 July 2024 (UTC)

Peliaq hng

[[User:Boss dragonearin|Boss dragonearin]] ([[User talk:Boss dragonearin|discuss]] • [[Special:Contributions/Boss dragonearin|contribs]]) 19:48, 9 September 2024 (UTC)

== A link ==

Dear Guy vandegrift , I need an advice. 
As page [[Gravitational stress-energy tensor]] the Gravitational stress-energy tensor is constructed with the help of gravitational tensor. So the link to gravitational tensor is necessary. At the moment the link in red color and need in correction.
The page about gravitational tensor is in subspace [[Physics/Essays/Fedosin]] as [[Physics/Essays/Fedosin/Gravitational tensor]].
My question is the next: Is it possible to create the link to gravitational tensor in the form 
[[Physics/Essays/Fedosin/Gravitational tensor | gravitational tensor]] or the other form is necessary such as [[Physics/Essays/Fedosin/Gravitational tensor]] ? [[User:Fedosin|Fedosin]] ([[User talk:Fedosin|discuss]] • [[Special:Contributions/Fedosin|contribs]]) 07:45, 6 January 2025 (UTC)

== Your thoughts on Ninefold Resonance Theory ==

Dear Guy vandegrift, today I developed my new philosophical-metaphysical theory: the [[Ninefold Resonance Theory]]. I had already asked @[[User:Dan Polansky|Dan Polansky]] for feedback, which he gave, and he advised me to also get in touch with you; hence this message! I was curious about your thoughts on this latest theory of mine. If you would like to respond, please do so on [[Talk:Ninefold Resonance Theory|the discussion page]]! I look forward to hearing from you. Kind regards, [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|overleg]] • [[Special:Contributions/S. Perquin|bijdragen]]) 18:27, 28 September 2025 (UTC)

== Please help ==

@[[User:Guy vandegrift|Guy vandegrift]] Hello Guy, sorry to bother you, but i would ask your help. A curator moved and deleted my articles and I asked for help at Colloquium but got no response. If that is out of your territory, i look further. Sorry again, hope to hear from you. Thanks [[User:Harold Foppele|Harold Foppele]] ([[User talk:Harold Foppele|discuss]] • [[Special:Contributions/Harold Foppele|contribs]]) 22:07, 11 October 2025 (UTC)

== Review if possible ==

Hello @[[User:Guy vandegrift|Guy vandegrift]] would/could you be willing to review pages i made on Quantum Mechanics ? Cheers [[User:Harold Foppele|Harold Foppele]] ([[User talk:Harold Foppele|discuss]] • [[Special:Contributions/Harold Foppele|contribs]]) 23:21, 21 November 2025 (UTC)

== Draft:Archive ==

What is the purpose of this project and how it works? [[User:Juandev|Juandev]] ([[User talk:Juandev|discuss]] • [[Special:Contributions/Juandev|contribs]]) 18:42, 23 November 2025 (UTC)

:I created it when I thought somebody was becoming hyperactive when it came to deleting articles.  The problem went away, because I lost interest in protecting peoples unfinished projects, and/or the hyperactive cleanup person(s) slowed down.  Do you want me to delete them? [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 22:03, 24 November 2025 (UTC)</text>
      <sha1>qwps9ewoi0lkyqq23ce7gkww62gkje0</sha1>
    </revision>
    <revision>
      <id>2803949</id>
      <parentid>2803948</parentid>
      <timestamp>2026-04-09T15:46:24Z</timestamp>
      <contributor>
        <username>~2026-22095-85</username>
        <id>3064874</id>
      </contributor>
      <comment>edit by the real User:Guy vandegrift</comment>
      <origin>2803949</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="52761" sha1="k7q3qyas1c1fv0qho55zt24za7sod6t" xml:space="preserve">&lt;div style=&quot;text-align:center; padding: 0.5em; border: solid 3px black; background-color: yellow;&quot;&gt;
'''[http://en.wikiversity.org/w/index.php?title=User_talk:Guy_vandegrift&amp;action=edit&amp;section=new Click here to leave a new message.]'''
&lt;/div&gt;[[File:Unclesamhumor.jpg|right|95px]]
&lt;small&gt;Archives:[[User_talk:Guy_vandegrift/Archive_1|1]] [[User_talk:Guy_vandegrift/Archive_2|2]] [[User_talk:Guy_vandegrift/Archive_3|3]]
[[User_talk:Guy_vandegrift/Archive_4|4]] 
[[User_talk:Guy_vandegrift/Archive_5|5]] 
[[User_talk:Guy_vandegrift/Archive_6|6]] 
[[User_talk:Guy_vandegrift/Archive_7|7]]
[[User_talk:Guy_vandegrift/Archive_8|8]] 
[[User_talk:Guy_vandegrift/Archive_9|9]] 
[[User_talk:Guy_vandegrift/Archive_10|10]]  
[[User_talk:Guy_vandegrift/Archive_11|11]]  
[[User_talk:Guy_vandegrift/Archive_12|12]]  
[[User_talk:Guy_vandegrift/Archive_13|13]]  
[[User_talk:Guy_vandegrift/Archive_14|14]]  
[[User_talk:Guy_vandegrift/Archive_15|15]]  
[[User_talk:Guy_vandegrift/Archive_16|16]]  
[[User_talk:Guy_vandegrift/Archive_17|17]]  
[[User_talk:Guy_vandegrift/Archive_18|18]] 
[[User_talk:Guy_vandegrift/Archive_19|19]] 
&lt;/small&gt;
__TOC__

{{cot|Collapsing because I cannot properly edit}}
== moves==

I reverted two of your moves, as these pages are included in a course and why should they be under the name of some user? Best regards, [[User:Bocardodarapti|Bocardodarapti]] ([[User talk:Bocardodarapti|discuss]] • [[Special:Contributions/Bocardodarapti|contribs]]) 09:25, 30 December 2023 (UTC)
:{{ping|Bocardodarapti}} &lt;big&gt;'''My apologies!'''&lt;/big&gt;  I am helping a crew attempting to clean up Wikiversity and it was put up for deletion.  In a twisted sort of way, you could say I &quot;rescued&quot; it by moving it into user space.  But I should have been more attentive and simply removed the deletion template.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 12:22, 30 December 2023 (UTC)
:{{ping|Dan Polansky|MGA73|Omphalographer|Dave Braunschweig|koavf}} This is why Dave and I prefer &lt;code&gt;&lt;nowiki&gt;{{subst:prod}}&lt;/nowiki&gt;&lt;/code&gt; to &lt;code&gt;&lt;nowiki&gt;{{delete}}&lt;/nowiki&gt;&lt;/code&gt;, and why I like to move pages to userspace.  Moving the page to userspace meant Bocardodarapti could instantly revert my mistake. Our most valuable &quot;customers&quot; are teachers who bring students to Wikiversity, and I hope some of these students become editors.  It's almost impossible to distinguish a newbie student from a crackpot editor.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 12:58, 30 December 2023 (UTC)
:: I generally support (do not oppose) moving pages to user space rather than deleting them, although for some low-grade material that is rather too kind. But I do not oppose acts of kindness as long as the impact is only on user space. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 13:04, 30 December 2023 (UTC)
:: About the specific page, [[Pi/Real cosine function/Definition]] has no business in the mainspace: it cannot be more useless. I support speedy deletion or moving it to user space. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 13:05, 30 December 2023 (UTC)
::: &lt;small&gt;For the record, I was wrong about [[Pi/Real cosine function/Definition]], as per [[Wikiversity:Colloquium#A discussion has been started on a large collection of orphaned_subpages]]. The page is a rather small module transcluded elsewhere, e.g. from [[Mathematics for Applied Sciences (Osnabrück 2023-2024)/Part I/Lecture 16]]. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 07:02, 31 December 2023 (UTC)&lt;/small&gt;


== Files Missing Information ==
Thanks for uploading files to Wikiversity. All files must have source and license information to stay at Wikiversity. The following files are missing {{tlx|Information}} and/or [[Wikiversity:License tags]], and will be deleted if the missing information is not added. See [[Wikiversity:Uploading files]] for more information.
{{colbegin|3}}
* [[:File:Piano Prelude in C by Johann Sebastian Bach.pdf]]
{{colend}}
[[User:MaintenanceBot|MaintenanceBot]] ([[User talk:MaintenanceBot|discuss]] • [[Special:Contributions/MaintenanceBot|contribs]]) 18:20, 1 January 2024 (UTC)

== Files on Commons ==
{{Robelbox|theme=2|title=[[:Category:Files from USGS]] &amp; [[:Category:Files from Flickr]]}}&lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
Hi! Perhaps you could have a look at the files in [[:Category:NowCommons]]? I think many of the files in [[:Category:Files from USGS]] can be moved to Commons (if not allready there). It would be easier if the files allready there are deleted. --[[User:MGA73|MGA73]] ([[User talk:MGA73|discuss]] • [[Special:Contributions/MGA73|contribs]]) 21:18, 6 January 2024 (UTC)
:{{ping|MGA73}} While I contribute a lot to Commons, it's all my work. For that reason I know almost nothing about image copyright policy or fair use. Do you want me to delete image files on Wikiversity? I can do that if they are not currently being used. 

:I did remove [[:File:Uganda field trials2 lo.jpg]] after verifying that it is the same on commons and not being used on Wikiversity--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 21:59, 6 January 2024 (UTC)

:: Hi! If the file in on Commons you can delete the local file. Unless you think that it is a mistake that the file is on Commons. If the file have a different name on Commons then the pages where the local file is edited should be changed so they use the version on Commons first. --[[User:MGA73|MGA73]] ([[User talk:MGA73|discuss]] • [[Special:Contributions/MGA73|contribs]]) 11:53, 7 January 2024 (UTC)

::: There are also some files in [[:Category:Files from Flickr]] that I'm trying to get moved to Commons. --[[User:MGA73|MGA73]] ([[User talk:MGA73|discuss]] • [[Special:Contributions/MGA73|contribs]]) 12:36, 7 January 2024 (UTC)

::::Due to my lack of experience and knowledge regarding the hosting of images by Wikiversity, I will refer this matter to [[Wikiversity:Request custodian action]].--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 23:06, 7 January 2024 (UTC)

&lt;/div&gt;
{{Robelbox-close}}

==Thanks==
Hey Guy, thanks for salvaging some of my work some time ago. A while ago I found WV too tension-ridden to practically develop a course. I am planning to try again.[[User:Leutha|Leutha]] ([[User talk:Leutha|discuss]] • [[Special:Contributions/Leutha|contribs]]) 16:18, 16 February 2024 (UTC)
:{{ping|Leutha}} You are welcome.  I am still trying to salvage the work of people who take wikibreaks. See [[Wikiversity:Colloquium#How_to_handle_very-low-value_pages_AKA_deletion_and_move_to_userspace_convention]]-[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 16:30, 16 February 2024 (UTC)

==Thank you for all the work==
Let me thank you for all the work you are doing here to help cleanup Wikiversity, striking a balance between kindness and cleanup. In so far as other admins do not seem to do as much, it is unique service. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 15:46, 22 February 2024 (UTC)

== Offensive username ==

Dear custodian,


Your words :

&lt;nowiki&gt;*&lt;/nowiki&gt;&lt;nowiki&gt;''&lt;/nowiki&gt;See also &lt;nowiki&gt;[[w:Bona dea]]&lt;/nowiki&gt;&lt;nowiki&gt;''&lt;/nowiki&gt;

&lt;nowiki&gt;{{cot|Not a request to delete, but&lt;/nowiki&gt;&lt;ins&gt; to space-consuming effort&lt;/ins&gt;&lt;nowiki&gt; to change the username &quot;Bonadea&quot;}}&lt;/nowiki&gt;

Username policy :


&quot;Names of religious figures such as &quot;God&quot;, &quot;Jehovah&quot;, &quot;Buddha&quot;,  &quot;Allah&quot;, or &quot;Bonadea&quot; which may offend other people's beliefs&quot;

Please send a post to user [[user:bonadea]] talk page ,advise him change username.

== Dear Prof. Guy Vandegrift ==

I am grateful for your great work in Wikiversity, a fantastic tool for development of science. Unfortunately I am blocked in &quot;Remission of prediabetes&quot; what can i do? Thank you very much!
&quot;Saltrabook&quot; 
Dr. Olaf Jensen, prof. emer. University of Southern Denmark ocj@health.sdu.dk [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 14:51, 1 March 2024 (UTC) 

:I think you are just blocked from creating pages. You create pages at such a high rate you must by copying and translating, which is a copyright violation.  Also, this many page creations is  disruptive to Wikiversity.  Don't worry, we will work this through together.  My understanding is that you want to create the page [[Remission of prediabetes]], right?--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 14:54, 1 March 2024 (UTC)
::My understanding is that you want to create the page Remission of prediabetes, right?--Guy vandegrift (discuss • contribs) 14:54, 1 March 2024 (UTC). Yes, &quot;Remission of prediabetes&quot; is a precise main page name, I am sorry, I have to learn when can i start? [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 16:19, 2 March 2024 (UTC)
:::Our concern is that you are creating a large number of pages, and they disrupt our wiki.  Are you copying these pages or using a translation software program to create them?--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 16:22, 2 March 2024 (UTC)

== MATLAB/Octave ==
Do you think it would be a good idea to restore [[MATLAB/Octave]] (deleted in 2021) and move it to [[Draft:Archive/2024/MATLAB/Octave]]? I could then have a glance at it and see whether anything could be salvaged for [[GNU Octave]] page. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 09:22, 3 March 2024 (UTC)
:{{ping|Polansky}} I undeleted it.  It was I who deleted with comment to the effect that there are too many errors for me to fix.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 14:23, 3 March 2024 (UTC)
:: Thank you. I did not realize you were the author of the &quot;[[MATLAB/Octave]]&quot; page. There does not seem to be any material usable for [[GNU Octave]]: the bulk of the page is about installing Octave, then there is a short guide to Unix/Linux commands (help, cd, dir, mkdir, rmdir), etc. But almost nothing on Octave per se.
:: Should I moved it to [[Draft:Archive/2024]] or do you want to have it deleted again? (I am fine with both.) --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 14:42, 3 March 2024 (UTC)
:::I know I deleted it, but don't remember why.  I will go ahead and re-delete.  Thanks for looking into that. Also, I have an important question: '''How did you know that the page even existed if it was deleted?''' --[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 15:22, 3 March 2024 (UTC)
:::: The [[MATLAB/Octave]] page was a redlink in [[MATLAB]] before I edited [[MATLAB]] to remove the redlink. It is still a redlink (currently blue) in [[Physics equations/07-Work and Energy/Q:cart1/history]]. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 15:33, 3 March 2024 (UTC)
:::::Thanks.  I should have thought of that as the most likely explanation.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 15:38, 3 March 2024 (UTC)
::::::correct, Danish mother language, med dr. specialist dr. in occupational medicine and 32 years in maritime pub.health occupational medical research in the University Southern Denmark, latest 18 year mainly living in Panama working with Spanish speaking people. I started the Occupational Medical Wikibook, now finished, 10 years ago to fill out the lack of occupational medicine textbook in Panama. Would be grateful if I could have access to the blocked pages on &quot;Prediabetes remission&quot; then i would locate them all in the new space, have no personal things to hide, my name is not to hide. Thank you for all your help [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 21:46, 6 March 2024 (UTC)

== [[special:redirect/logid/3389938]] ==

Please check if you moved to the right namespace. Did you mean to move into userspace? [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 02:58, 5 March 2024 (UTC)
::Yes, of course.  Thanks for catching that. P.S. I like the economy of your link &lt;code&gt;&lt;nowiki&gt;[[special:redirect/logid/3389938]]&lt;/nowiki&gt;&lt;/code&gt;. Where can I find a list of such tricks? (I would have had to use an external link)--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 03:02, 5 March 2024 (UTC)
::: I think [[:w:Help:Special_page#Available_special_pages]] can help you. [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 03:14, 5 March 2024 (UTC)

==Request from Saltrabook to move large project into draftspace==
Hello Guy, please establish one main page as you offered, &quot;Prediabetes diagnostics and remission&quot;, and move my blocked pages to that one, thank you very much--[[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 16:49, 9 March 2024 (UTC)
:It's not really my decision. Wikiversity is a quasi-democracy and we need the consent of something we call &quot;the community&quot;. I will set up your user page so that you can use the pages you already created.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 17:52, 9 March 2024 (UTC)
::Thank you very much, perfect [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 18:04, 10 March 2024 (UTC)

:See '''[[user:Saltrabook]]''' for your current project. I has several nearly blank pages for you to work on.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 17:09, 9 March 2024 (UTC)
::Please delete these or ask for deletion, of all nearly empty page, sorry for these problems, thank you very much [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 17:35, 10 March 2024 (UTC)
:::I thought you might like those pages for your work.  It is better to write a few long pages than lots of little ones.  If it's OK with you, I would like to keep those pages where they are.  You might change your mind and write something on them.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 02:59, 11 March 2024 (UTC)

{{ping|Saltrabook}} Here is a list of pages where you can continue to work.  When a page is complete, let me know and I will rename it.  
{{colbegin}}
#[[User:Saltrabook/empty page-1]]
#[[User:Saltrabook/empty page-2]]
#[[User:Saltrabook/empty-page 3]]
#[[User:Saltrabook/empty-page 4]]
#[[User:Saltrabook/empty-page 5]]
#[[User:Saltrabook/sandbox]]
{{colend}}
Please try and write large pages.  Too many pages on this topic is disruptive to our wiki.19:25, 14 March 2024 (UTC)

== Reconstruction of the delete pages ==

sorry, i dont think I can reconstruct these pages except for one, the manuscript under submission to publication, Prediabetes remission to normoglycemic status. [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 13:30, 16 March 2024 (UTC)
:Where was it submitted? It would help if I knew why you can't reconstruct it: Did you discard your own copy of the draft when you submitted it? Or, do the journal's rules prohibit you from posting a submitted article due to copyright law?--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 13:40, 16 March 2024 (UTC)

== Original writings, ==

I am the author, I dont use translating software and no copy of previous published material. Sometimes i cite my own writings in the published scientific articles, but very little. Now going through the list of pages and add {{tl|db-author}} at the top - i have to be better to clean up - thank you [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 19:34, 18 March 2024 (UTC)
:{{ping|Saltrabook}} DO NOT ADD {{tl|db-author}} TO YOUR PAGES!!!!! They are deletion requests.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 20:54, 18 March 2024 (UTC)

== [[Draft:Archive/2024/Institut Teknologi PLN]] ==

With respect to [[Wikiversity:Request_custodian_action/Archive/25#University_advertisements_on_Wikiversity]], PROD should have been processed rather than archiving the page. [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 05:29, 19 March 2024 (UTC)
:{{ping|MathXplore}} Two questions:
::#Do you want me to put it back into mainspace with the same prod? (If so, I will)
::#(to be continued after I checkout what happened)--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 05:41, 19 March 2024 (UTC)
:: I think non-English content should not be moved to the mainspace, so it should remain in the current position with the prod. [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 05:44, 19 March 2024 (UTC)
:::I will move it back, but according to [https://en.wikiversity.org/w/index.php?title=Draft:Archive/2024/Institut_Teknologi_PLN&amp;oldid=2572456 2572456]], the expiration for deletion was today. Following previous practice, I thought that allowed a deletion.  Do you want to change things; or am I wrong about previous practice?--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 05:49, 19 March 2024 (UTC)
:::: Please feel free to delete the page, I don't think anyone else is working on the translation. [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 05:56, 19 March 2024 (UTC)
:::Also, I am confused about your terminology. It's in draftspace, not mainspace.  Perhaps you meant to say that the prod should not have been dewikified.  Are you saying that you want the prod to remain while it is in draft-archive space? I can do that.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 05:52, 19 March 2024 (UTC)
:::: I apologize if my words have caused any confusion. Yes, I just wanted to say that the prod should not be dewikified. [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 05:57, 19 March 2024 (UTC)
:::::Keep in mind that the entire [[Draft:Archive]] &quot;resource&quot; is just an experiment. The question of whether prods should be deleted was never sorted out in my mind.  Keeping the prods in place makes for a cleaner Draft:Archive-space.  But it also adds work for us.  I thinking somebody might make a bot to dewikify all links and all templates. That would make Draft:Archive-space sterile.  We could even have a bot that blanked all pages that are over 2 years old. ... The idea is that draft-archive-space would be essentially equivalent to outright deletion, except that all users could veiw and effectively &quot;undelete&quot;.  Such a policy makes no sense on Wikipedia, where the goal is to create a useful encyclopedia.  But Wikiversity's mission is to allow people to learn.  And most of us learn by making mistakes.  That means our mistakes should never truly be deleted (just hidden from view.) ... P.S. Don't worry, I have a lot of strange ideas.  But I don't fight for them. Henceforth prods will remain active for pages in draft-archive space.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 06:10, 19 March 2024 (UTC)
::::::I will delete [[Draft:Archive/2024/Institut Teknologi PLN]].  The page is not important. It's the policy that is important.  The &quot;mistake&quot; of not writing in English is not worth preserving for the benefit of authors who want to re-examine how they approach the art of writing.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 06:15, 19 March 2024 (UTC)

== CFC talkback ==

{{talkback|Wikiversity:Candidates_for_Custodianship/MathXplore#Questions_for_the_candidate}} [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 03:06, 20 March 2024 (UTC)

== [[Surreal numbers]] ==
Greetings. I am not clear why you are removing the page from RFD before the RFD run its course. Surely whether the page should be moved out of mainspace should depend on what kind of consensus emerges from the RFD? And before the RFD is closed, the page should remain tagged with {{tlx|rfd}}? --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 11:01, 26 March 2024 (UTC)
:Are you talking about the pages that I archived and mentioned at [[Wikiversity:Requests_for_Deletion#List_of_unresolved_deletion_requests]]? --[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 11:08, 26 March 2024 (UTC)
:: No, I am talking about removal of {{tlx|rfd}} that took place in [[Special:Diff/2615731/2615793]], which took place despite the RFD not yet being closed/resolved (my message was a bit confusing: the page was not fully removed from RFD but only as for removal of the template). --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 11:15, 26 March 2024 (UTC)
:::With only a single author, the choices are keep, subpagify, or delete.  The pages will likely become mathematics subpages and I will bring the matter up on appropriate mathematics talk pages. But both pages are sufficiently related to physics that they can go into [[Physics/Essays]].  I don't need permission from the community to put a page under [[Physics]] because that is my specialty. I changed the rfd template because there is no reason for rfd to be involved.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 11:43, 26 March 2024 (UTC)
:::: Does it mean that you can single-handedly close a RFD nomination as &quot;rejected&quot; without waiting for the result of the discussion? I did not nominate the page for RFD only to have it kept in mainspace. And if there is a disagreement about what should happen to the page--as seems to be the case--that is all the more reason to run the RFD process. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 11:51, 26 March 2024 (UTC)
:::::It means exactly that your RFD nomination was &quot;rejected&quot; without waiting for the result of the discussion. I also reverted your rfd on [[Rational numbers/Introduction]]. The author in question also created the top page, and Bureaucrat [[User:Dave Braunschweig|Dave Braunschweig]] apparently consented. The community can revert Dave's decision. But you cannot.[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 12:47, 26 March 2024 (UTC)

== Prediabetes Remission ==

Guy, please, can you help to create a new main page entitled &quot;Prediabetes Remission&quot; without &quot;maritime&quot; , for use with other transport sectors, e.g. truckers, taxi drivers etc. jobs with biannual medical health examination, to identify those with an A1C level of 39-47 mmol/L (5.7%-6.4%) (prediabetes) who are not (yet) taking medication for diabetes,
thank you [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 19:53, 29 March 2024 (UTC)

Here it is [[User:Saltrabook/Prediabetes Remission]]

It can be moved to [[Prediabetes Remission]] but that requires going though a committee.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 21:02, 29 March 2024 (UTC)

== [[Differential equations/Ordinary Differential Equations]] ==
I will not send this page to RFD to reduce conflict, by to my mind, this page is clearly junk. One should be able to understand what this page is about without reading its parent page. The page is all too typical of Wikiversity: no sources, no definitions, a haphazard/incoherent collection of sentences and this junk is supposed to be &quot;learning material&quot;. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 14:31, 31 March 2024 (UTC)
:[[Special:Diff/2617022/2617520|''This edit'']] makes no sense to me.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 16:21, 31 March 2024 (UTC)

== Possible deletion overload ==
If I am overloading you by deletion nominations, one remedy could be that I would take longer breaks in making them. Thus, there would be longer sequences of days during which I make no nominations, especially do not hit &quot;Random&quot; button to find more junk. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 15:04, 31 March 2024 (UTC)
:Why don't you create a page somewhere and simply list the pages you think we should delete?  We no idea when WV is going to formulate an updated deletion policy. And, if another custodian wishes to moderate the deletions, I will be happy to step aside. Then you can bring up your list.  Place the list wherever you wish, but I suggest [[WV:WGW2024#Personal_subpages_(with_visual_editing)]]--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 15:24, 31 March 2024 (UTC)
:: I am confused about your statements about need to update ''policy''. Since, I am proceeding in accordance with the current guidelines (some do not have &quot;policy&quot; status) that I can find, including [[WV:Deletions]], [[WV:Verifiability]] and [[WV:What is Wikiversity?]]. You make it sound as if we need to wait for some kind of policy update, and I am not clear what you mean. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 15:31, 31 March 2024 (UTC)
:::I don't have a good answer to your question. [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 15:35, 31 March 2024 (UTC)
::Hey, I just had a better idea: I will create the &quot;personal subpage&quot; with a name like &quot;Proposed deletions&quot;.  Then all deletion requests based on low quality can go there, temporarily. That resolution will allow me to remove the stuff posted at [[Wikiversity:Request custodian action]] [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 15:32, 31 March 2024 (UTC)
::: I think I am better served by stepping back from deletions for a week or two rather than starting to do something nonstandard. I am puzzled why the things standard in the English Wiktionary and the English Wikipedia are supposed not to work in the English Wikiversity. It is as if there were some kind of RFD-phobia, something unseen in the English Wiktionary. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 15:34, 31 March 2024 (UTC)
::::I think the problem is that Wikiversity has never had a clear mission.  It's name sounds like the mission of a conventional University, but universities do everything: Childhood education, football games, poetry, art, student essays, student newspapers, you-name-it.  The original plan was to host teaching materials for people to share.  And, &quot;reasearch&quot; is hard to define.  Maybe [[Student Projects]] is a research project into how students write.  My &quot;call-for-essays&quot; on a page you tried to delete certainly was research into how we can get more students involved with Wikiversity.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 15:41, 31 March 2024 (UTC)
::::: Does the above really match [[WV:Deletions]], [[WV:Verifiability]] and [[WV:What is Wikiversity?]] ? --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 15:51, 31 March 2024 (UTC)
::::::I don't have time to read those pages now.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 16:29, 31 March 2024 (UTC)

== Regarding Genetics/Human Leukocyte Antigen/Linkage Disequilibrium/DR-DQ Blocks ==

Dear Mr. Guy Vandegrift,

According to the log file for the page [[Genetics/Human Leukocyte Antigen/Linkage Disequilibrium/DR-DQ Blocks|Genetics/Human Leukocyte Antigen/Linkage Disequilibrium/DR-DQ Blocks - Wikiversity]], you deleted it [https://en.wikiversity.org/w/index.php?title=Special:Log&amp;logid=3335327 21 December 2022]. I work in a lab which performs blood tests for celiac disease and we used this page periodically in our assessments of genetic risk for celiac disease, in order to see repported haplotypes. Could you please reactivate the page, if possible, or provide us a copy of it? Thank you in advance!

Best regards,

Nicolae Miron MD [[User:Nicolae.Miron|Nicolae.Miron]] ([[User talk:Nicolae.Miron|discuss]] • [[Special:Contributions/Nicolae.Miron|contribs]]) 11:16, 2 April 2024 (UTC)

==change main page name==
Im sorry, i dont understand, why i cannot change the main page. We need to change the main page name to &quot;Pre-diabetes Remission-Net&quot; as we expand our activites to include other than the maritime area to be stronger in research and intervention practice with other researchers and occupational health practicers e.g. the Truck-drivers [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 16:59, 2 April 2024 (UTC)

:{{ping|Saltrabook}} Is this what you want?
:* [[User:Saltrabook/Pre-diabetes Remission-Net]]
:[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 19:04, 2 April 2024 (UTC)
:Yes, please, this is what i want, then the original title with &quot;Maritime Health Research and Education&quot; will be a subtitle.  Thank you very much [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 22:00, 2 April 2024 (UTC)
::Let me know if you need anything else. [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 22:12, 2 April 2024 (UTC)

==[[Number Theory/Surreal numbers]]==
&quot;Surreal numbers&quot; are misplaced since &quot;number theory&quot;, despite its name, does not concern itself with any and all numbers but rather with ''positive integers''. The move of [[Surreal numbers]] is therefore not only unnecessary/unhelpful but also incorrect. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 06:23, 3 April 2024 (UTC)
:I see your point.  I will move it back to [[Surreal numbers]] ... Actually, the topic more resembles set theory, or perhaps an alternative view of numerical analysis.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 11:20, 3 April 2024 (UTC)
:: (A non-actionable aside) At the university where I studied, if this was covered at all, it would have probably been covered in set theory classes since set-theoretic construction of rational numbers was covered there. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 12:24, 3 April 2024 (UTC)

More on [[Surreal numbers]]: I think using chatbots to write articles to &quot;save&quot; them is a poor plan. Mistakes are likely to be countless. Here is one: &quot;Real numbers is defined to include positive and negative rational numbers (p/q where p and q are integers), as well as irrational numbers (π and 21/2), but with a twist: Also included are not one, but an infinite number of infinities, along with a similar collection of &quot;zeros&quot;, often called ε (in the limit that ε→0.)&quot; Well, you mean &quot;Real numbers&quot; --&gt; &quot;Surreal numbers&quot;, right? --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 12:55, 3 April 2024 (UTC)

:That wasn't the chatbot. That was my writing, and I agree that it is garbled.  Chatbots don't make mistakes like this. If you want to see the chatbot's words, visit [[Chatbot math/Gemini/24.03/Surreal numbers]]. [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 13:34, 3 April 2024 (UTC)
:: Ah, that makes sense. Incidentally, is [[Chatbot math/Gemini/24.03/Surreal numbers]] a correct location or does it belong to Gemini? --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 14:07, 3 April 2024 (UTC)
:::Thanks. I moved it to Gemini... Also, the problem with Chatbots on Wikiversity isn't low quality, but the ability to create too much prose and too many pages.  A student who writes on bad essay that goes into a collection of bad essays does not much hurt WV.  It's the students who creates hundreds of pages, uploads thousands of files, or creates megabytes of text that overwhelms the system.  A student who writes one short essay has a non-zero probability of coming back to it and learn.  The student who writes reams of prose will never re-read it and never learn from the experience.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 14:51, 3 April 2024 (UTC)

== Prediabetes Remission-Net ==

Please create a new page, Prediabetes Remission-Net and dono replace &quot;Maritime Research and Education-Net (Mahre-Net) stay untuched. thank you very much [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 17:59, 3 April 2024 (UTC)

Here is your new page:
*[[User:Saltrabook/Prediabetes Remission-Net]] 
:--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 20:55, 3 April 2024 (UTC)

== Bureaucratship ==

Per [[Wikiversity:Candidates for Custodianship#Nominations for Bureaucratship]], you are now a bureaucrat. Congratulations! -- [[User:Dave Braunschweig|Dave Braunschweig]] ([[User talk:Dave Braunschweig|discuss]] • [[Special:Contributions/Dave Braunschweig|contribs]]) 02:00, 8 June 2024 (UTC)

Congratulations! Please feel free to reach out to me if you'd like any advice. --[[User:Mu301|mikeu]] &lt;sup&gt;[[User talk:Mu301|talk]]&lt;/sup&gt; 14:01, 11 June 2024 (UTC)

== I think we should keep our eyes on [[User:Username142857]] ==

Thank you for choosing to join the bureaucrat team. I was recently sending messages to [[User talk:Username142857]] and I noticed that you have already communicated with them in the past. I want you to note that [[User:Username142857]] has more issues apart from page creation. I have already explained to them, but if you have anything else to add, that may be helpful for [[User:Username142857]]. Thank you for your contributions. [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 03:27, 9 June 2024 (UTC)

:I just now examined enough of your interactions with them to agree with you.  The problem of too many questions might be solved by a topic ban on Wikiversity discussions. On the creation of marginal pages, we have a [[wikt:plethora|plethora]] of options.  And this user is only a microscopically small fraction of that problem. [[User:Guy vandegrift/2024/User monitoring|I will monitor this user's contributions]] and will let you know if I have any ideas. [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 04:43, 9 June 2024 (UTC)

== Plausible yet untrue ==
I propose to remove the following statement from mainspace:

: &quot;If a mathematical statement is both plausible and useful, I honestly don't care if it is true.&quot;

It is a dangerous statement, expressing a dangerously cavalier attitude toward mathematical truth. I personally got burned by reaching a mistaken conclusion about a particular mathematical hypothesis by abandoning the mathematical rigor; although my attitude was not that truth does not matter but rather that in that case the less than rigorous argument was sufficient to establish the truth, which it was not. That is not to say that intuitive arguments and plausibility checks never have value, but rather that in case of doubt, at least checking a reliable source is the minimum one should do, even if one does not try to follow the proof.

Using the above attitude, one may naively peruse e.g. Google's Gemini, make it output &quot;useful&quot; somewhat plausible statements, and end up in error real fast. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 04:48, 13 June 2024 (UTC)

:A good example is the [[w:Dirac delta function|dirac delta function]], which is not a function and cannot be graphed. Yet, by sketching a graph you can &quot;prove&quot; that &lt;math display=&quot;inline&quot;&gt;\int_{-\infty}^{\infty} \delta'(x)dx =-f'(0).&lt;/math&gt; It is entirely plausible that this result was known before a proper definition of this [[w:Distribution (mathematics)|distribution]] was established. A better example is probably renormalization theory. I am pretty sure it was being used in physics before it was fully understood. To your point, however, '''&quot;I honestly don't care...&quot;'''should probably be replaced by '''&quot;I usually don't care...&quot;'''.  Also, I purposely placed that sentence at the top as a warning to the reader not to make the mistake you alluded to.

:It's an educational resource -- sort of &quot;research for students&quot;.  When it is finished, I plan to introduce the term '''''&lt;big&gt;Conjecture?:&lt;/big&gt;'''''''' in place of ''postulates'', ''theorems'', and ''corollaries''.  Each &quot;Conjecture?&quot; would contain a link to a page where students could discuss its veracity.  After drifting between research jobs, I finally landed a teaching position where I could apply for a grant to build a plasma device with students.  That induced me to look back on research that was done many years ago on the same subject.  I was shocked that in retrospect, almost most publications back then were highly flawed.  Maybe computer science is more precise, because it is usually obvious when computer code doesn't work.  But with attempts to predict the behavior of a magnetically confined plasma, most predictions are wrong. 

:One more thing: Cable news in the US is plagued by commentators pretending to be newscasters making claims like &quot;''People are saying that this person is ...''&quot; This is a serious problem that threatens our democracy.  But surreal number theory has often be called &quot;recreational math&quot;. It's supposed to be fun.

It's nice to hear from you!--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 14:42, 13 June 2024 (UTC)

== Ideas about consciousness after death and other topics ==
Dear Guy vandegrift, I read your arguments on the topic ''[[Will we lose our consciousness after we die?]]''. Your arguments sound very interesting, but as a layperson (I don't actually understand anything about physics), I don't actually understand any of it, let alone how it relates to the continuation of consciousness after death. But I really want to understand it. I read on your user page that you are a retired physics professor. Could you explain in simple terms what your arguments are for the continuation of the consciousness after death?

Additionally, I am also curious about your opinion on my philosophical ideas–about how reality might function–which I have described on [[Wikiphilosophers]]. What do you think about topics such as free will, the meaning of life, past lives, paranormal phenomena and extraterrestrial life? I look forward to hearing from you! Kind regards, [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 23:59, 28 July 2024 (UTC)

:Several thoughts:
:#We need to distinguish between &quot;perception&quot; and &quot;reality&quot; the person in the parallel universe will think he is me.  If perception is reality, then he is me.  But of course, he is not me.
:#Regarding the physics, the &quot;Hubble volume&quot; is roughly the same everything we can see using the most powerful telescopes.  I can't guarantee that this is explained in [[Wikipedia:Hubble volume]] (which is why we need Wikiversity.)  
:#I took two philosophy courses (one in high school and the other in college) and found it a fascinating subject.  Afterwards, I read a book on a 18th or 19th century philosopher (whose name I forgot).  I was impressed by the ideas put forth by this philosopher, but cannot remember a single thing from that book (I read it about 50 years ago.)
:#My background in physics gave me a perspective about reality that I believe is shared by many if not most physicists:  Reality can not be understood; it can only be predicted.  The predictions involve mathematics, and every known mathematical model is incomplete or flawed in some way.  For that reason, I can only  view consciousness as something other people claim to have: Humans have brains that cause them to claim they possess consciousness.  
:[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 00:08, 29 July 2024 (UTC)
::Thank you for your response! Coincidentally, I created an article today on the Dutch Wikipedia about ''universeel bewustzijn'' ({{w|universal mind}}) and I wrote something about the thoughts of philosopher and computer technologist Bernardo Kastrup. According to him, the relationship between our psyche and the rest of consciousness might resemble that of patients with {{w|dissociative identity disorder}}. If such a dissociative identity disorder could occur on a cosmic level, then people might all be alters of one universal consciousness. Each individual would then have a different perspective on the world and unique physical properties, all stemming from the same underlying consciousness. Is that also what you meant with your thoughts that you just explained to me? Or should I see it (completely) differently? [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 00:18, 29 July 2024 (UTC)
:::I think there might be a connection between dissociative identity disorder and the fact that I cannot define consciousness (or even imagine how a definition could exist.) [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 00:28, 29 July 2024 (UTC)
::::Fascinating! I think that consciousness cannot be defined or explained either—it goes far beyond our human cognitive abilities. I believe that we can only experience consciousness. We only know what it feels like to be one with consciousness when we are actually one with consciousness. But still, I feel a strong urge or need to understand it as a human, haha. That must be my human ego which is determined and prideful. But still, I feel a sigh within me saying: &quot;Man, what are you doing?&quot;
::::And what do you think about other topics such as paranormality and the mystical? [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 00:36, 29 July 2024 (UTC)
:::::My grandparents and great grandparents on my fathers side were into [[w:Table-turning]].  My sister and I tried it as children, but nothing happened. [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 02:19, 29 July 2024 (UTC)
::::::Interesting! Personally, I think I possibly have experiences with reincarnation memories, contact with the deceased, energies from crystals and paranormal occurrences following conversations with psychotic persons. [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 12:54, 29 July 2024 (UTC)
::::By the way, what do you think about the statement ''{{w|Cogito, ergo sum}}''? Kind regards, [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 00:38, 29 July 2024 (UTC)
:::::I read somewhere that it only makes sense if it is a personal reflection.  Recordings of or AI generated sound bytes claiming to 'exist' are clearly unconvincing. [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 09:13, 29 July 2024 (UTC)
::::::That's an interesting question—will AI ever develop self-awareness and consciousness? Personally, I think it could be possible, provided that neuroscience collaborates with computer science and makes revolutionary discoveries, such as connecting AI to a human brain and implanting a brain into a robot. But I am not sure. Kind regards, [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 15:12, 29 July 2024 (UTC)
:: (Butting in) A sketch of a definition: consciousness is that thing that a human loses when he/she falls asleep. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 05:17, 29 July 2024 (UTC)
:::{{ping|Dan Polansky}}That definition is informal, but I like it. [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 09:03, 29 July 2024 (UTC)
::::My definition of consciousness would be: that which is aware of the existence of itself and its environment, in whatever reality or state it may be. [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 07:42, 29 July 2024 (UTC)
:::::So by that definition, would a dreaming person be in a conscious state? [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 23:36, 30 July 2024 (UTC)
::::::I would differentiate the term ''consciousness'' and ''awareness''. I see consciousness as something even deeper than the {{w|soul}} or {{w|Spirit (supernatural entity)|spirit}}, because both entities are also conscious. I think someone who dreams, certainly has a consciousness (even though the person is not aware of the world in which he is sleeping), but it is located elsewhere, perhaps outside the brain. I am convinced that consciousness goes beyond the brain and I would even venture to say that all consciousnesses are connected through a {{w|universal consciousness}}. But maybe it's the wrong term I am using for it—that may cause confusion. I just don't know any other term that is better. [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 23:58, 30 July 2024 (UTC)
:::::::Perhaps ''{{w|mental substance}}'' is a better term? This was used by {{w|René Descartes}}. Kind regards, [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 00:16, 31 July 2024 (UTC)

Peliaq hng

[[User:Boss dragonearin|Boss dragonearin]] ([[User talk:Boss dragonearin|discuss]] • [[Special:Contributions/Boss dragonearin|contribs]]) 19:48, 9 September 2024 (UTC)

== A link ==

Dear Guy vandegrift , I need an advice. 
As page [[Gravitational stress-energy tensor]] the Gravitational stress-energy tensor is constructed with the help of gravitational tensor. So the link to gravitational tensor is necessary. At the moment the link in red color and need in correction.
The page about gravitational tensor is in subspace [[Physics/Essays/Fedosin]] as [[Physics/Essays/Fedosin/Gravitational tensor]].
My question is the next: Is it possible to create the link to gravitational tensor in the form 
[[Physics/Essays/Fedosin/Gravitational tensor | gravitational tensor]] or the other form is necessary such as [[Physics/Essays/Fedosin/Gravitational tensor]] ? [[User:Fedosin|Fedosin]] ([[User talk:Fedosin|discuss]] • [[Special:Contributions/Fedosin|contribs]]) 07:45, 6 January 2025 (UTC)

== Your thoughts on Ninefold Resonance Theory ==

Dear Guy vandegrift, today I developed my new philosophical-metaphysical theory: the [[Ninefold Resonance Theory]]. I had already asked @[[User:Dan Polansky|Dan Polansky]] for feedback, which he gave, and he advised me to also get in touch with you; hence this message! I was curious about your thoughts on this latest theory of mine. If you would like to respond, please do so on [[Talk:Ninefold Resonance Theory|the discussion page]]! I look forward to hearing from you. Kind regards, [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|overleg]] • [[Special:Contributions/S. Perquin|bijdragen]]) 18:27, 28 September 2025 (UTC)

== Please help ==

@[[User:Guy vandegrift|Guy vandegrift]] Hello Guy, sorry to bother you, but i would ask your help. A curator moved and deleted my articles and I asked for help at Colloquium but got no response. If that is out of your territory, i look further. Sorry again, hope to hear from you. Thanks [[User:Harold Foppele|Harold Foppele]] ([[User talk:Harold Foppele|discuss]] • [[Special:Contributions/Harold Foppele|contribs]]) 22:07, 11 October 2025 (UTC)

== Review if possible ==

Hello @[[User:Guy vandegrift|Guy vandegrift]] would/could you be willing to review pages i made on Quantum Mechanics ? Cheers [[User:Harold Foppele|Harold Foppele]] ([[User talk:Harold Foppele|discuss]] • [[Special:Contributions/Harold Foppele|contribs]]) 23:21, 21 November 2025 (UTC)

== Draft:Archive ==

What is the purpose of this project and how it works? [[User:Juandev|Juandev]] ([[User talk:Juandev|discuss]] • [[Special:Contributions/Juandev|contribs]]) 18:42, 23 November 2025 (UTC)

:I created it when I thought somebody was becoming hyperactive when it came to deleting articles.  The problem went away, because I lost interest in protecting peoples unfinished projects, and/or the hyperactive cleanup person(s) slowed down.  Do you want me to delete them? [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 22:03, 24 November 2025 (UTC)

{{cob}}</text>
      <sha1>k7q3qyas1c1fv0qho55zt24za7sod6t</sha1>
    </revision>
    <revision>
      <id>2803951</id>
      <parentid>2803949</parentid>
      <timestamp>2026-04-09T15:57:30Z</timestamp>
      <contributor>
        <username>~2026-22095-85</username>
        <id>3064874</id>
      </contributor>
      <comment>edit by the real Guy vandegrift</comment>
      <origin>2803951</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="53381" sha1="elfz9xxdcoa06hew8l157osur6h6nr2" xml:space="preserve">&lt;div style=&quot;text-align:center; padding: 0.5em; border: solid 3px black; background-color: yellow;&quot;&gt;
'''[http://en.wikiversity.org/w/index.php?title=User_talk:Guy_vandegrift&amp;action=edit&amp;section=new Click here to leave a new message.]'''
&lt;/div&gt;[[File:Unclesamhumor.jpg|right|95px]]
&lt;small&gt;Archives:[[User_talk:Guy_vandegrift/Archive_1|1]] [[User_talk:Guy_vandegrift/Archive_2|2]] [[User_talk:Guy_vandegrift/Archive_3|3]]
[[User_talk:Guy_vandegrift/Archive_4|4]] 
[[User_talk:Guy_vandegrift/Archive_5|5]] 
[[User_talk:Guy_vandegrift/Archive_6|6]] 
[[User_talk:Guy_vandegrift/Archive_7|7]]
[[User_talk:Guy_vandegrift/Archive_8|8]] 
[[User_talk:Guy_vandegrift/Archive_9|9]] 
[[User_talk:Guy_vandegrift/Archive_10|10]]  
[[User_talk:Guy_vandegrift/Archive_11|11]]  
[[User_talk:Guy_vandegrift/Archive_12|12]]  
[[User_talk:Guy_vandegrift/Archive_13|13]]  
[[User_talk:Guy_vandegrift/Archive_14|14]]  
[[User_talk:Guy_vandegrift/Archive_15|15]]  
[[User_talk:Guy_vandegrift/Archive_16|16]]  
[[User_talk:Guy_vandegrift/Archive_17|17]]  
[[User_talk:Guy_vandegrift/Archive_18|18]] 
[[User_talk:Guy_vandegrift/Archive_19|19]] 
&lt;/small&gt;
__TOC__

==To whom it may concern==
I lost my ability to recover my password when my wright.edu email account was suddenly closed.  When I retired, I was told that that account would remain open.  But after about 4 years, they suddenly closed it. Due to my inactivity, there is no rush to reset my password.  Furthermore, in a pinch, I could create a new account with a slightly different username.  I will answer emails sent to ''vandegrift.guy@gmail.com'' - [[User:Guy_vandegrift|Guy_vandegrift]] ([[User talk:Guy_vandegrift|discuss]] • [[Special:Contributions/Guy_vandegrift|contribs]]) 15:56, 9 April 2026 (UTC)

{{cot|This content may be cleared b/c it is in Archive 17}}
== moves==

I reverted two of your moves, as these pages are included in a course and why should they be under the name of some user? Best regards, [[User:Bocardodarapti|Bocardodarapti]] ([[User talk:Bocardodarapti|discuss]] • [[Special:Contributions/Bocardodarapti|contribs]]) 09:25, 30 December 2023 (UTC)
:{{ping|Bocardodarapti}} &lt;big&gt;'''My apologies!'''&lt;/big&gt;  I am helping a crew attempting to clean up Wikiversity and it was put up for deletion.  In a twisted sort of way, you could say I &quot;rescued&quot; it by moving it into user space.  But I should have been more attentive and simply removed the deletion template.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 12:22, 30 December 2023 (UTC)
:{{ping|Dan Polansky|MGA73|Omphalographer|Dave Braunschweig|koavf}} This is why Dave and I prefer &lt;code&gt;&lt;nowiki&gt;{{subst:prod}}&lt;/nowiki&gt;&lt;/code&gt; to &lt;code&gt;&lt;nowiki&gt;{{delete}}&lt;/nowiki&gt;&lt;/code&gt;, and why I like to move pages to userspace.  Moving the page to userspace meant Bocardodarapti could instantly revert my mistake. Our most valuable &quot;customers&quot; are teachers who bring students to Wikiversity, and I hope some of these students become editors.  It's almost impossible to distinguish a newbie student from a crackpot editor.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 12:58, 30 December 2023 (UTC)
:: I generally support (do not oppose) moving pages to user space rather than deleting them, although for some low-grade material that is rather too kind. But I do not oppose acts of kindness as long as the impact is only on user space. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 13:04, 30 December 2023 (UTC)
:: About the specific page, [[Pi/Real cosine function/Definition]] has no business in the mainspace: it cannot be more useless. I support speedy deletion or moving it to user space. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 13:05, 30 December 2023 (UTC)
::: &lt;small&gt;For the record, I was wrong about [[Pi/Real cosine function/Definition]], as per [[Wikiversity:Colloquium#A discussion has been started on a large collection of orphaned_subpages]]. The page is a rather small module transcluded elsewhere, e.g. from [[Mathematics for Applied Sciences (Osnabrück 2023-2024)/Part I/Lecture 16]]. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 07:02, 31 December 2023 (UTC)&lt;/small&gt;


== Files Missing Information ==
Thanks for uploading files to Wikiversity. All files must have source and license information to stay at Wikiversity. The following files are missing {{tlx|Information}} and/or [[Wikiversity:License tags]], and will be deleted if the missing information is not added. See [[Wikiversity:Uploading files]] for more information.
{{colbegin|3}}
* [[:File:Piano Prelude in C by Johann Sebastian Bach.pdf]]
{{colend}}
[[User:MaintenanceBot|MaintenanceBot]] ([[User talk:MaintenanceBot|discuss]] • [[Special:Contributions/MaintenanceBot|contribs]]) 18:20, 1 January 2024 (UTC)

== Files on Commons ==
{{Robelbox|theme=2|title=[[:Category:Files from USGS]] &amp; [[:Category:Files from Flickr]]}}&lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
Hi! Perhaps you could have a look at the files in [[:Category:NowCommons]]? I think many of the files in [[:Category:Files from USGS]] can be moved to Commons (if not allready there). It would be easier if the files allready there are deleted. --[[User:MGA73|MGA73]] ([[User talk:MGA73|discuss]] • [[Special:Contributions/MGA73|contribs]]) 21:18, 6 January 2024 (UTC)
:{{ping|MGA73}} While I contribute a lot to Commons, it's all my work. For that reason I know almost nothing about image copyright policy or fair use. Do you want me to delete image files on Wikiversity? I can do that if they are not currently being used. 

:I did remove [[:File:Uganda field trials2 lo.jpg]] after verifying that it is the same on commons and not being used on Wikiversity--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 21:59, 6 January 2024 (UTC)

:: Hi! If the file in on Commons you can delete the local file. Unless you think that it is a mistake that the file is on Commons. If the file have a different name on Commons then the pages where the local file is edited should be changed so they use the version on Commons first. --[[User:MGA73|MGA73]] ([[User talk:MGA73|discuss]] • [[Special:Contributions/MGA73|contribs]]) 11:53, 7 January 2024 (UTC)

::: There are also some files in [[:Category:Files from Flickr]] that I'm trying to get moved to Commons. --[[User:MGA73|MGA73]] ([[User talk:MGA73|discuss]] • [[Special:Contributions/MGA73|contribs]]) 12:36, 7 January 2024 (UTC)

::::Due to my lack of experience and knowledge regarding the hosting of images by Wikiversity, I will refer this matter to [[Wikiversity:Request custodian action]].--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 23:06, 7 January 2024 (UTC)

&lt;/div&gt;
{{Robelbox-close}}

==Thanks==
Hey Guy, thanks for salvaging some of my work some time ago. A while ago I found WV too tension-ridden to practically develop a course. I am planning to try again.[[User:Leutha|Leutha]] ([[User talk:Leutha|discuss]] • [[Special:Contributions/Leutha|contribs]]) 16:18, 16 February 2024 (UTC)
:{{ping|Leutha}} You are welcome.  I am still trying to salvage the work of people who take wikibreaks. See [[Wikiversity:Colloquium#How_to_handle_very-low-value_pages_AKA_deletion_and_move_to_userspace_convention]]-[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 16:30, 16 February 2024 (UTC)

==Thank you for all the work==
Let me thank you for all the work you are doing here to help cleanup Wikiversity, striking a balance between kindness and cleanup. In so far as other admins do not seem to do as much, it is unique service. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 15:46, 22 February 2024 (UTC)

== Offensive username ==

Dear custodian,


Your words :

&lt;nowiki&gt;*&lt;/nowiki&gt;&lt;nowiki&gt;''&lt;/nowiki&gt;See also &lt;nowiki&gt;[[w:Bona dea]]&lt;/nowiki&gt;&lt;nowiki&gt;''&lt;/nowiki&gt;

&lt;nowiki&gt;{{cot|Not a request to delete, but&lt;/nowiki&gt;&lt;ins&gt; to space-consuming effort&lt;/ins&gt;&lt;nowiki&gt; to change the username &quot;Bonadea&quot;}}&lt;/nowiki&gt;

Username policy :


&quot;Names of religious figures such as &quot;God&quot;, &quot;Jehovah&quot;, &quot;Buddha&quot;,  &quot;Allah&quot;, or &quot;Bonadea&quot; which may offend other people's beliefs&quot;

Please send a post to user [[user:bonadea]] talk page ,advise him change username.

== Dear Prof. Guy Vandegrift ==

I am grateful for your great work in Wikiversity, a fantastic tool for development of science. Unfortunately I am blocked in &quot;Remission of prediabetes&quot; what can i do? Thank you very much!
&quot;Saltrabook&quot; 
Dr. Olaf Jensen, prof. emer. University of Southern Denmark ocj@health.sdu.dk [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 14:51, 1 March 2024 (UTC) 

:I think you are just blocked from creating pages. You create pages at such a high rate you must by copying and translating, which is a copyright violation.  Also, this many page creations is  disruptive to Wikiversity.  Don't worry, we will work this through together.  My understanding is that you want to create the page [[Remission of prediabetes]], right?--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 14:54, 1 March 2024 (UTC)
::My understanding is that you want to create the page Remission of prediabetes, right?--Guy vandegrift (discuss • contribs) 14:54, 1 March 2024 (UTC). Yes, &quot;Remission of prediabetes&quot; is a precise main page name, I am sorry, I have to learn when can i start? [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 16:19, 2 March 2024 (UTC)
:::Our concern is that you are creating a large number of pages, and they disrupt our wiki.  Are you copying these pages or using a translation software program to create them?--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 16:22, 2 March 2024 (UTC)

== MATLAB/Octave ==
Do you think it would be a good idea to restore [[MATLAB/Octave]] (deleted in 2021) and move it to [[Draft:Archive/2024/MATLAB/Octave]]? I could then have a glance at it and see whether anything could be salvaged for [[GNU Octave]] page. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 09:22, 3 March 2024 (UTC)
:{{ping|Polansky}} I undeleted it.  It was I who deleted with comment to the effect that there are too many errors for me to fix.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 14:23, 3 March 2024 (UTC)
:: Thank you. I did not realize you were the author of the &quot;[[MATLAB/Octave]]&quot; page. There does not seem to be any material usable for [[GNU Octave]]: the bulk of the page is about installing Octave, then there is a short guide to Unix/Linux commands (help, cd, dir, mkdir, rmdir), etc. But almost nothing on Octave per se.
:: Should I moved it to [[Draft:Archive/2024]] or do you want to have it deleted again? (I am fine with both.) --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 14:42, 3 March 2024 (UTC)
:::I know I deleted it, but don't remember why.  I will go ahead and re-delete.  Thanks for looking into that. Also, I have an important question: '''How did you know that the page even existed if it was deleted?''' --[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 15:22, 3 March 2024 (UTC)
:::: The [[MATLAB/Octave]] page was a redlink in [[MATLAB]] before I edited [[MATLAB]] to remove the redlink. It is still a redlink (currently blue) in [[Physics equations/07-Work and Energy/Q:cart1/history]]. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 15:33, 3 March 2024 (UTC)
:::::Thanks.  I should have thought of that as the most likely explanation.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 15:38, 3 March 2024 (UTC)
::::::correct, Danish mother language, med dr. specialist dr. in occupational medicine and 32 years in maritime pub.health occupational medical research in the University Southern Denmark, latest 18 year mainly living in Panama working with Spanish speaking people. I started the Occupational Medical Wikibook, now finished, 10 years ago to fill out the lack of occupational medicine textbook in Panama. Would be grateful if I could have access to the blocked pages on &quot;Prediabetes remission&quot; then i would locate them all in the new space, have no personal things to hide, my name is not to hide. Thank you for all your help [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 21:46, 6 March 2024 (UTC)

== [[special:redirect/logid/3389938]] ==

Please check if you moved to the right namespace. Did you mean to move into userspace? [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 02:58, 5 March 2024 (UTC)
::Yes, of course.  Thanks for catching that. P.S. I like the economy of your link &lt;code&gt;&lt;nowiki&gt;[[special:redirect/logid/3389938]]&lt;/nowiki&gt;&lt;/code&gt;. Where can I find a list of such tricks? (I would have had to use an external link)--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 03:02, 5 March 2024 (UTC)
::: I think [[:w:Help:Special_page#Available_special_pages]] can help you. [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 03:14, 5 March 2024 (UTC)

==Request from Saltrabook to move large project into draftspace==
Hello Guy, please establish one main page as you offered, &quot;Prediabetes diagnostics and remission&quot;, and move my blocked pages to that one, thank you very much--[[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 16:49, 9 March 2024 (UTC)
:It's not really my decision. Wikiversity is a quasi-democracy and we need the consent of something we call &quot;the community&quot;. I will set up your user page so that you can use the pages you already created.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 17:52, 9 March 2024 (UTC)
::Thank you very much, perfect [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 18:04, 10 March 2024 (UTC)

:See '''[[user:Saltrabook]]''' for your current project. I has several nearly blank pages for you to work on.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 17:09, 9 March 2024 (UTC)
::Please delete these or ask for deletion, of all nearly empty page, sorry for these problems, thank you very much [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 17:35, 10 March 2024 (UTC)
:::I thought you might like those pages for your work.  It is better to write a few long pages than lots of little ones.  If it's OK with you, I would like to keep those pages where they are.  You might change your mind and write something on them.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 02:59, 11 March 2024 (UTC)

{{ping|Saltrabook}} Here is a list of pages where you can continue to work.  When a page is complete, let me know and I will rename it.  
{{colbegin}}
#[[User:Saltrabook/empty page-1]]
#[[User:Saltrabook/empty page-2]]
#[[User:Saltrabook/empty-page 3]]
#[[User:Saltrabook/empty-page 4]]
#[[User:Saltrabook/empty-page 5]]
#[[User:Saltrabook/sandbox]]
{{colend}}
Please try and write large pages.  Too many pages on this topic is disruptive to our wiki.19:25, 14 March 2024 (UTC)

== Reconstruction of the delete pages ==

sorry, i dont think I can reconstruct these pages except for one, the manuscript under submission to publication, Prediabetes remission to normoglycemic status. [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 13:30, 16 March 2024 (UTC)
:Where was it submitted? It would help if I knew why you can't reconstruct it: Did you discard your own copy of the draft when you submitted it? Or, do the journal's rules prohibit you from posting a submitted article due to copyright law?--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 13:40, 16 March 2024 (UTC)

== Original writings, ==

I am the author, I dont use translating software and no copy of previous published material. Sometimes i cite my own writings in the published scientific articles, but very little. Now going through the list of pages and add {{tl|db-author}} at the top - i have to be better to clean up - thank you [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 19:34, 18 March 2024 (UTC)
:{{ping|Saltrabook}} DO NOT ADD {{tl|db-author}} TO YOUR PAGES!!!!! They are deletion requests.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 20:54, 18 March 2024 (UTC)

== [[Draft:Archive/2024/Institut Teknologi PLN]] ==

With respect to [[Wikiversity:Request_custodian_action/Archive/25#University_advertisements_on_Wikiversity]], PROD should have been processed rather than archiving the page. [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 05:29, 19 March 2024 (UTC)
:{{ping|MathXplore}} Two questions:
::#Do you want me to put it back into mainspace with the same prod? (If so, I will)
::#(to be continued after I checkout what happened)--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 05:41, 19 March 2024 (UTC)
:: I think non-English content should not be moved to the mainspace, so it should remain in the current position with the prod. [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 05:44, 19 March 2024 (UTC)
:::I will move it back, but according to [https://en.wikiversity.org/w/index.php?title=Draft:Archive/2024/Institut_Teknologi_PLN&amp;oldid=2572456 2572456]], the expiration for deletion was today. Following previous practice, I thought that allowed a deletion.  Do you want to change things; or am I wrong about previous practice?--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 05:49, 19 March 2024 (UTC)
:::: Please feel free to delete the page, I don't think anyone else is working on the translation. [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 05:56, 19 March 2024 (UTC)
:::Also, I am confused about your terminology. It's in draftspace, not mainspace.  Perhaps you meant to say that the prod should not have been dewikified.  Are you saying that you want the prod to remain while it is in draft-archive space? I can do that.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 05:52, 19 March 2024 (UTC)
:::: I apologize if my words have caused any confusion. Yes, I just wanted to say that the prod should not be dewikified. [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 05:57, 19 March 2024 (UTC)
:::::Keep in mind that the entire [[Draft:Archive]] &quot;resource&quot; is just an experiment. The question of whether prods should be deleted was never sorted out in my mind.  Keeping the prods in place makes for a cleaner Draft:Archive-space.  But it also adds work for us.  I thinking somebody might make a bot to dewikify all links and all templates. That would make Draft:Archive-space sterile.  We could even have a bot that blanked all pages that are over 2 years old. ... The idea is that draft-archive-space would be essentially equivalent to outright deletion, except that all users could veiw and effectively &quot;undelete&quot;.  Such a policy makes no sense on Wikipedia, where the goal is to create a useful encyclopedia.  But Wikiversity's mission is to allow people to learn.  And most of us learn by making mistakes.  That means our mistakes should never truly be deleted (just hidden from view.) ... P.S. Don't worry, I have a lot of strange ideas.  But I don't fight for them. Henceforth prods will remain active for pages in draft-archive space.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 06:10, 19 March 2024 (UTC)
::::::I will delete [[Draft:Archive/2024/Institut Teknologi PLN]].  The page is not important. It's the policy that is important.  The &quot;mistake&quot; of not writing in English is not worth preserving for the benefit of authors who want to re-examine how they approach the art of writing.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 06:15, 19 March 2024 (UTC)

== CFC talkback ==

{{talkback|Wikiversity:Candidates_for_Custodianship/MathXplore#Questions_for_the_candidate}} [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 03:06, 20 March 2024 (UTC)

== [[Surreal numbers]] ==
Greetings. I am not clear why you are removing the page from RFD before the RFD run its course. Surely whether the page should be moved out of mainspace should depend on what kind of consensus emerges from the RFD? And before the RFD is closed, the page should remain tagged with {{tlx|rfd}}? --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 11:01, 26 March 2024 (UTC)
:Are you talking about the pages that I archived and mentioned at [[Wikiversity:Requests_for_Deletion#List_of_unresolved_deletion_requests]]? --[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 11:08, 26 March 2024 (UTC)
:: No, I am talking about removal of {{tlx|rfd}} that took place in [[Special:Diff/2615731/2615793]], which took place despite the RFD not yet being closed/resolved (my message was a bit confusing: the page was not fully removed from RFD but only as for removal of the template). --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 11:15, 26 March 2024 (UTC)
:::With only a single author, the choices are keep, subpagify, or delete.  The pages will likely become mathematics subpages and I will bring the matter up on appropriate mathematics talk pages. But both pages are sufficiently related to physics that they can go into [[Physics/Essays]].  I don't need permission from the community to put a page under [[Physics]] because that is my specialty. I changed the rfd template because there is no reason for rfd to be involved.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 11:43, 26 March 2024 (UTC)
:::: Does it mean that you can single-handedly close a RFD nomination as &quot;rejected&quot; without waiting for the result of the discussion? I did not nominate the page for RFD only to have it kept in mainspace. And if there is a disagreement about what should happen to the page--as seems to be the case--that is all the more reason to run the RFD process. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 11:51, 26 March 2024 (UTC)
:::::It means exactly that your RFD nomination was &quot;rejected&quot; without waiting for the result of the discussion. I also reverted your rfd on [[Rational numbers/Introduction]]. The author in question also created the top page, and Bureaucrat [[User:Dave Braunschweig|Dave Braunschweig]] apparently consented. The community can revert Dave's decision. But you cannot.[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 12:47, 26 March 2024 (UTC)

== Prediabetes Remission ==

Guy, please, can you help to create a new main page entitled &quot;Prediabetes Remission&quot; without &quot;maritime&quot; , for use with other transport sectors, e.g. truckers, taxi drivers etc. jobs with biannual medical health examination, to identify those with an A1C level of 39-47 mmol/L (5.7%-6.4%) (prediabetes) who are not (yet) taking medication for diabetes,
thank you [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 19:53, 29 March 2024 (UTC)

Here it is [[User:Saltrabook/Prediabetes Remission]]

It can be moved to [[Prediabetes Remission]] but that requires going though a committee.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 21:02, 29 March 2024 (UTC)

== [[Differential equations/Ordinary Differential Equations]] ==
I will not send this page to RFD to reduce conflict, by to my mind, this page is clearly junk. One should be able to understand what this page is about without reading its parent page. The page is all too typical of Wikiversity: no sources, no definitions, a haphazard/incoherent collection of sentences and this junk is supposed to be &quot;learning material&quot;. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 14:31, 31 March 2024 (UTC)
:[[Special:Diff/2617022/2617520|''This edit'']] makes no sense to me.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 16:21, 31 March 2024 (UTC)

== Possible deletion overload ==
If I am overloading you by deletion nominations, one remedy could be that I would take longer breaks in making them. Thus, there would be longer sequences of days during which I make no nominations, especially do not hit &quot;Random&quot; button to find more junk. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 15:04, 31 March 2024 (UTC)
:Why don't you create a page somewhere and simply list the pages you think we should delete?  We no idea when WV is going to formulate an updated deletion policy. And, if another custodian wishes to moderate the deletions, I will be happy to step aside. Then you can bring up your list.  Place the list wherever you wish, but I suggest [[WV:WGW2024#Personal_subpages_(with_visual_editing)]]--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 15:24, 31 March 2024 (UTC)
:: I am confused about your statements about need to update ''policy''. Since, I am proceeding in accordance with the current guidelines (some do not have &quot;policy&quot; status) that I can find, including [[WV:Deletions]], [[WV:Verifiability]] and [[WV:What is Wikiversity?]]. You make it sound as if we need to wait for some kind of policy update, and I am not clear what you mean. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 15:31, 31 March 2024 (UTC)
:::I don't have a good answer to your question. [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 15:35, 31 March 2024 (UTC)
::Hey, I just had a better idea: I will create the &quot;personal subpage&quot; with a name like &quot;Proposed deletions&quot;.  Then all deletion requests based on low quality can go there, temporarily. That resolution will allow me to remove the stuff posted at [[Wikiversity:Request custodian action]] [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 15:32, 31 March 2024 (UTC)
::: I think I am better served by stepping back from deletions for a week or two rather than starting to do something nonstandard. I am puzzled why the things standard in the English Wiktionary and the English Wikipedia are supposed not to work in the English Wikiversity. It is as if there were some kind of RFD-phobia, something unseen in the English Wiktionary. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 15:34, 31 March 2024 (UTC)
::::I think the problem is that Wikiversity has never had a clear mission.  It's name sounds like the mission of a conventional University, but universities do everything: Childhood education, football games, poetry, art, student essays, student newspapers, you-name-it.  The original plan was to host teaching materials for people to share.  And, &quot;reasearch&quot; is hard to define.  Maybe [[Student Projects]] is a research project into how students write.  My &quot;call-for-essays&quot; on a page you tried to delete certainly was research into how we can get more students involved with Wikiversity.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 15:41, 31 March 2024 (UTC)
::::: Does the above really match [[WV:Deletions]], [[WV:Verifiability]] and [[WV:What is Wikiversity?]] ? --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 15:51, 31 March 2024 (UTC)
::::::I don't have time to read those pages now.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 16:29, 31 March 2024 (UTC)

== Regarding Genetics/Human Leukocyte Antigen/Linkage Disequilibrium/DR-DQ Blocks ==

Dear Mr. Guy Vandegrift,

According to the log file for the page [[Genetics/Human Leukocyte Antigen/Linkage Disequilibrium/DR-DQ Blocks|Genetics/Human Leukocyte Antigen/Linkage Disequilibrium/DR-DQ Blocks - Wikiversity]], you deleted it [https://en.wikiversity.org/w/index.php?title=Special:Log&amp;logid=3335327 21 December 2022]. I work in a lab which performs blood tests for celiac disease and we used this page periodically in our assessments of genetic risk for celiac disease, in order to see repported haplotypes. Could you please reactivate the page, if possible, or provide us a copy of it? Thank you in advance!

Best regards,

Nicolae Miron MD [[User:Nicolae.Miron|Nicolae.Miron]] ([[User talk:Nicolae.Miron|discuss]] • [[Special:Contributions/Nicolae.Miron|contribs]]) 11:16, 2 April 2024 (UTC)

==change main page name==
Im sorry, i dont understand, why i cannot change the main page. We need to change the main page name to &quot;Pre-diabetes Remission-Net&quot; as we expand our activites to include other than the maritime area to be stronger in research and intervention practice with other researchers and occupational health practicers e.g. the Truck-drivers [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 16:59, 2 April 2024 (UTC)

:{{ping|Saltrabook}} Is this what you want?
:* [[User:Saltrabook/Pre-diabetes Remission-Net]]
:[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 19:04, 2 April 2024 (UTC)
:Yes, please, this is what i want, then the original title with &quot;Maritime Health Research and Education&quot; will be a subtitle.  Thank you very much [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 22:00, 2 April 2024 (UTC)
::Let me know if you need anything else. [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 22:12, 2 April 2024 (UTC)

==[[Number Theory/Surreal numbers]]==
&quot;Surreal numbers&quot; are misplaced since &quot;number theory&quot;, despite its name, does not concern itself with any and all numbers but rather with ''positive integers''. The move of [[Surreal numbers]] is therefore not only unnecessary/unhelpful but also incorrect. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 06:23, 3 April 2024 (UTC)
:I see your point.  I will move it back to [[Surreal numbers]] ... Actually, the topic more resembles set theory, or perhaps an alternative view of numerical analysis.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 11:20, 3 April 2024 (UTC)
:: (A non-actionable aside) At the university where I studied, if this was covered at all, it would have probably been covered in set theory classes since set-theoretic construction of rational numbers was covered there. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 12:24, 3 April 2024 (UTC)

More on [[Surreal numbers]]: I think using chatbots to write articles to &quot;save&quot; them is a poor plan. Mistakes are likely to be countless. Here is one: &quot;Real numbers is defined to include positive and negative rational numbers (p/q where p and q are integers), as well as irrational numbers (π and 21/2), but with a twist: Also included are not one, but an infinite number of infinities, along with a similar collection of &quot;zeros&quot;, often called ε (in the limit that ε→0.)&quot; Well, you mean &quot;Real numbers&quot; --&gt; &quot;Surreal numbers&quot;, right? --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 12:55, 3 April 2024 (UTC)

:That wasn't the chatbot. That was my writing, and I agree that it is garbled.  Chatbots don't make mistakes like this. If you want to see the chatbot's words, visit [[Chatbot math/Gemini/24.03/Surreal numbers]]. [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 13:34, 3 April 2024 (UTC)
:: Ah, that makes sense. Incidentally, is [[Chatbot math/Gemini/24.03/Surreal numbers]] a correct location or does it belong to Gemini? --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 14:07, 3 April 2024 (UTC)
:::Thanks. I moved it to Gemini... Also, the problem with Chatbots on Wikiversity isn't low quality, but the ability to create too much prose and too many pages.  A student who writes on bad essay that goes into a collection of bad essays does not much hurt WV.  It's the students who creates hundreds of pages, uploads thousands of files, or creates megabytes of text that overwhelms the system.  A student who writes one short essay has a non-zero probability of coming back to it and learn.  The student who writes reams of prose will never re-read it and never learn from the experience.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 14:51, 3 April 2024 (UTC)

== Prediabetes Remission-Net ==

Please create a new page, Prediabetes Remission-Net and dono replace &quot;Maritime Research and Education-Net (Mahre-Net) stay untuched. thank you very much [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 17:59, 3 April 2024 (UTC)

Here is your new page:
*[[User:Saltrabook/Prediabetes Remission-Net]] 
:--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 20:55, 3 April 2024 (UTC)

== Bureaucratship ==

Per [[Wikiversity:Candidates for Custodianship#Nominations for Bureaucratship]], you are now a bureaucrat. Congratulations! -- [[User:Dave Braunschweig|Dave Braunschweig]] ([[User talk:Dave Braunschweig|discuss]] • [[Special:Contributions/Dave Braunschweig|contribs]]) 02:00, 8 June 2024 (UTC)

Congratulations! Please feel free to reach out to me if you'd like any advice. --[[User:Mu301|mikeu]] &lt;sup&gt;[[User talk:Mu301|talk]]&lt;/sup&gt; 14:01, 11 June 2024 (UTC)

== I think we should keep our eyes on [[User:Username142857]] ==

Thank you for choosing to join the bureaucrat team. I was recently sending messages to [[User talk:Username142857]] and I noticed that you have already communicated with them in the past. I want you to note that [[User:Username142857]] has more issues apart from page creation. I have already explained to them, but if you have anything else to add, that may be helpful for [[User:Username142857]]. Thank you for your contributions. [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 03:27, 9 June 2024 (UTC)

:I just now examined enough of your interactions with them to agree with you.  The problem of too many questions might be solved by a topic ban on Wikiversity discussions. On the creation of marginal pages, we have a [[wikt:plethora|plethora]] of options.  And this user is only a microscopically small fraction of that problem. [[User:Guy vandegrift/2024/User monitoring|I will monitor this user's contributions]] and will let you know if I have any ideas. [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 04:43, 9 June 2024 (UTC)

== Plausible yet untrue ==
I propose to remove the following statement from mainspace:

: &quot;If a mathematical statement is both plausible and useful, I honestly don't care if it is true.&quot;

It is a dangerous statement, expressing a dangerously cavalier attitude toward mathematical truth. I personally got burned by reaching a mistaken conclusion about a particular mathematical hypothesis by abandoning the mathematical rigor; although my attitude was not that truth does not matter but rather that in that case the less than rigorous argument was sufficient to establish the truth, which it was not. That is not to say that intuitive arguments and plausibility checks never have value, but rather that in case of doubt, at least checking a reliable source is the minimum one should do, even if one does not try to follow the proof.

Using the above attitude, one may naively peruse e.g. Google's Gemini, make it output &quot;useful&quot; somewhat plausible statements, and end up in error real fast. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 04:48, 13 June 2024 (UTC)

:A good example is the [[w:Dirac delta function|dirac delta function]], which is not a function and cannot be graphed. Yet, by sketching a graph you can &quot;prove&quot; that &lt;math display=&quot;inline&quot;&gt;\int_{-\infty}^{\infty} \delta'(x)dx =-f'(0).&lt;/math&gt; It is entirely plausible that this result was known before a proper definition of this [[w:Distribution (mathematics)|distribution]] was established. A better example is probably renormalization theory. I am pretty sure it was being used in physics before it was fully understood. To your point, however, '''&quot;I honestly don't care...&quot;'''should probably be replaced by '''&quot;I usually don't care...&quot;'''.  Also, I purposely placed that sentence at the top as a warning to the reader not to make the mistake you alluded to.

:It's an educational resource -- sort of &quot;research for students&quot;.  When it is finished, I plan to introduce the term '''''&lt;big&gt;Conjecture?:&lt;/big&gt;'''''''' in place of ''postulates'', ''theorems'', and ''corollaries''.  Each &quot;Conjecture?&quot; would contain a link to a page where students could discuss its veracity.  After drifting between research jobs, I finally landed a teaching position where I could apply for a grant to build a plasma device with students.  That induced me to look back on research that was done many years ago on the same subject.  I was shocked that in retrospect, almost most publications back then were highly flawed.  Maybe computer science is more precise, because it is usually obvious when computer code doesn't work.  But with attempts to predict the behavior of a magnetically confined plasma, most predictions are wrong. 

:One more thing: Cable news in the US is plagued by commentators pretending to be newscasters making claims like &quot;''People are saying that this person is ...''&quot; This is a serious problem that threatens our democracy.  But surreal number theory has often be called &quot;recreational math&quot;. It's supposed to be fun.

It's nice to hear from you!--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 14:42, 13 June 2024 (UTC)

== Ideas about consciousness after death and other topics ==
Dear Guy vandegrift, I read your arguments on the topic ''[[Will we lose our consciousness after we die?]]''. Your arguments sound very interesting, but as a layperson (I don't actually understand anything about physics), I don't actually understand any of it, let alone how it relates to the continuation of consciousness after death. But I really want to understand it. I read on your user page that you are a retired physics professor. Could you explain in simple terms what your arguments are for the continuation of the consciousness after death?

Additionally, I am also curious about your opinion on my philosophical ideas–about how reality might function–which I have described on [[Wikiphilosophers]]. What do you think about topics such as free will, the meaning of life, past lives, paranormal phenomena and extraterrestrial life? I look forward to hearing from you! Kind regards, [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 23:59, 28 July 2024 (UTC)

:Several thoughts:
:#We need to distinguish between &quot;perception&quot; and &quot;reality&quot; the person in the parallel universe will think he is me.  If perception is reality, then he is me.  But of course, he is not me.
:#Regarding the physics, the &quot;Hubble volume&quot; is roughly the same everything we can see using the most powerful telescopes.  I can't guarantee that this is explained in [[Wikipedia:Hubble volume]] (which is why we need Wikiversity.)  
:#I took two philosophy courses (one in high school and the other in college) and found it a fascinating subject.  Afterwards, I read a book on a 18th or 19th century philosopher (whose name I forgot).  I was impressed by the ideas put forth by this philosopher, but cannot remember a single thing from that book (I read it about 50 years ago.)
:#My background in physics gave me a perspective about reality that I believe is shared by many if not most physicists:  Reality can not be understood; it can only be predicted.  The predictions involve mathematics, and every known mathematical model is incomplete or flawed in some way.  For that reason, I can only  view consciousness as something other people claim to have: Humans have brains that cause them to claim they possess consciousness.  
:[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 00:08, 29 July 2024 (UTC)
::Thank you for your response! Coincidentally, I created an article today on the Dutch Wikipedia about ''universeel bewustzijn'' ({{w|universal mind}}) and I wrote something about the thoughts of philosopher and computer technologist Bernardo Kastrup. According to him, the relationship between our psyche and the rest of consciousness might resemble that of patients with {{w|dissociative identity disorder}}. If such a dissociative identity disorder could occur on a cosmic level, then people might all be alters of one universal consciousness. Each individual would then have a different perspective on the world and unique physical properties, all stemming from the same underlying consciousness. Is that also what you meant with your thoughts that you just explained to me? Or should I see it (completely) differently? [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 00:18, 29 July 2024 (UTC)
:::I think there might be a connection between dissociative identity disorder and the fact that I cannot define consciousness (or even imagine how a definition could exist.) [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 00:28, 29 July 2024 (UTC)
::::Fascinating! I think that consciousness cannot be defined or explained either—it goes far beyond our human cognitive abilities. I believe that we can only experience consciousness. We only know what it feels like to be one with consciousness when we are actually one with consciousness. But still, I feel a strong urge or need to understand it as a human, haha. That must be my human ego which is determined and prideful. But still, I feel a sigh within me saying: &quot;Man, what are you doing?&quot;
::::And what do you think about other topics such as paranormality and the mystical? [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 00:36, 29 July 2024 (UTC)
:::::My grandparents and great grandparents on my fathers side were into [[w:Table-turning]].  My sister and I tried it as children, but nothing happened. [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 02:19, 29 July 2024 (UTC)
::::::Interesting! Personally, I think I possibly have experiences with reincarnation memories, contact with the deceased, energies from crystals and paranormal occurrences following conversations with psychotic persons. [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 12:54, 29 July 2024 (UTC)
::::By the way, what do you think about the statement ''{{w|Cogito, ergo sum}}''? Kind regards, [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 00:38, 29 July 2024 (UTC)
:::::I read somewhere that it only makes sense if it is a personal reflection.  Recordings of or AI generated sound bytes claiming to 'exist' are clearly unconvincing. [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 09:13, 29 July 2024 (UTC)
::::::That's an interesting question—will AI ever develop self-awareness and consciousness? Personally, I think it could be possible, provided that neuroscience collaborates with computer science and makes revolutionary discoveries, such as connecting AI to a human brain and implanting a brain into a robot. But I am not sure. Kind regards, [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 15:12, 29 July 2024 (UTC)
:: (Butting in) A sketch of a definition: consciousness is that thing that a human loses when he/she falls asleep. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 05:17, 29 July 2024 (UTC)
:::{{ping|Dan Polansky}}That definition is informal, but I like it. [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 09:03, 29 July 2024 (UTC)
::::My definition of consciousness would be: that which is aware of the existence of itself and its environment, in whatever reality or state it may be. [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 07:42, 29 July 2024 (UTC)
:::::So by that definition, would a dreaming person be in a conscious state? [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 23:36, 30 July 2024 (UTC)
::::::I would differentiate the term ''consciousness'' and ''awareness''. I see consciousness as something even deeper than the {{w|soul}} or {{w|Spirit (supernatural entity)|spirit}}, because both entities are also conscious. I think someone who dreams, certainly has a consciousness (even though the person is not aware of the world in which he is sleeping), but it is located elsewhere, perhaps outside the brain. I am convinced that consciousness goes beyond the brain and I would even venture to say that all consciousnesses are connected through a {{w|universal consciousness}}. But maybe it's the wrong term I am using for it—that may cause confusion. I just don't know any other term that is better. [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 23:58, 30 July 2024 (UTC)
:::::::Perhaps ''{{w|mental substance}}'' is a better term? This was used by {{w|René Descartes}}. Kind regards, [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 00:16, 31 July 2024 (UTC)

Peliaq hng

[[User:Boss dragonearin|Boss dragonearin]] ([[User talk:Boss dragonearin|discuss]] • [[Special:Contributions/Boss dragonearin|contribs]]) 19:48, 9 September 2024 (UTC)

== A link ==

Dear Guy vandegrift , I need an advice. 
As page [[Gravitational stress-energy tensor]] the Gravitational stress-energy tensor is constructed with the help of gravitational tensor. So the link to gravitational tensor is necessary. At the moment the link in red color and need in correction.
The page about gravitational tensor is in subspace [[Physics/Essays/Fedosin]] as [[Physics/Essays/Fedosin/Gravitational tensor]].
My question is the next: Is it possible to create the link to gravitational tensor in the form 
[[Physics/Essays/Fedosin/Gravitational tensor | gravitational tensor]] or the other form is necessary such as [[Physics/Essays/Fedosin/Gravitational tensor]] ? [[User:Fedosin|Fedosin]] ([[User talk:Fedosin|discuss]] • [[Special:Contributions/Fedosin|contribs]]) 07:45, 6 January 2025 (UTC)

== Your thoughts on Ninefold Resonance Theory ==

Dear Guy vandegrift, today I developed my new philosophical-metaphysical theory: the [[Ninefold Resonance Theory]]. I had already asked @[[User:Dan Polansky|Dan Polansky]] for feedback, which he gave, and he advised me to also get in touch with you; hence this message! I was curious about your thoughts on this latest theory of mine. If you would like to respond, please do so on [[Talk:Ninefold Resonance Theory|the discussion page]]! I look forward to hearing from you. Kind regards, [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|overleg]] • [[Special:Contributions/S. Perquin|bijdragen]]) 18:27, 28 September 2025 (UTC)

== Please help ==

@[[User:Guy vandegrift|Guy vandegrift]] Hello Guy, sorry to bother you, but i would ask your help. A curator moved and deleted my articles and I asked for help at Colloquium but got no response. If that is out of your territory, i look further. Sorry again, hope to hear from you. Thanks [[User:Harold Foppele|Harold Foppele]] ([[User talk:Harold Foppele|discuss]] • [[Special:Contributions/Harold Foppele|contribs]]) 22:07, 11 October 2025 (UTC)

== Review if possible ==

Hello @[[User:Guy vandegrift|Guy vandegrift]] would/could you be willing to review pages i made on Quantum Mechanics ? Cheers [[User:Harold Foppele|Harold Foppele]] ([[User talk:Harold Foppele|discuss]] • [[Special:Contributions/Harold Foppele|contribs]]) 23:21, 21 November 2025 (UTC)

== Draft:Archive ==

What is the purpose of this project and how it works? [[User:Juandev|Juandev]] ([[User talk:Juandev|discuss]] • [[Special:Contributions/Juandev|contribs]]) 18:42, 23 November 2025 (UTC)

:I created it when I thought somebody was becoming hyperactive when it came to deleting articles.  The problem went away, because I lost interest in protecting peoples unfinished projects, and/or the hyperactive cleanup person(s) slowed down.  Do you want me to delete them? [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 22:03, 24 November 2025 (UTC)

{{cob}}</text>
      <sha1>elfz9xxdcoa06hew8l157osur6h6nr2</sha1>
    </revision>
    <revision>
      <id>2803952</id>
      <parentid>2803951</parentid>
      <timestamp>2026-04-09T15:58:48Z</timestamp>
      <contributor>
        <username>~2026-22095-85</username>
        <id>3064874</id>
      </contributor>
      <comment>/* To whom it may concern */ ditto</comment>
      <origin>2803952</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="53372" sha1="4nx5t1hxlh6zw1xhu9fvtsijl340xvu" xml:space="preserve">&lt;div style=&quot;text-align:center; padding: 0.5em; border: solid 3px black; background-color: yellow;&quot;&gt;
'''[http://en.wikiversity.org/w/index.php?title=User_talk:Guy_vandegrift&amp;action=edit&amp;section=new Click here to leave a new message.]'''
&lt;/div&gt;[[File:Unclesamhumor.jpg|right|95px]]
&lt;small&gt;Archives:[[User_talk:Guy_vandegrift/Archive_1|1]] [[User_talk:Guy_vandegrift/Archive_2|2]] [[User_talk:Guy_vandegrift/Archive_3|3]]
[[User_talk:Guy_vandegrift/Archive_4|4]] 
[[User_talk:Guy_vandegrift/Archive_5|5]] 
[[User_talk:Guy_vandegrift/Archive_6|6]] 
[[User_talk:Guy_vandegrift/Archive_7|7]]
[[User_talk:Guy_vandegrift/Archive_8|8]] 
[[User_talk:Guy_vandegrift/Archive_9|9]] 
[[User_talk:Guy_vandegrift/Archive_10|10]]  
[[User_talk:Guy_vandegrift/Archive_11|11]]  
[[User_talk:Guy_vandegrift/Archive_12|12]]  
[[User_talk:Guy_vandegrift/Archive_13|13]]  
[[User_talk:Guy_vandegrift/Archive_14|14]]  
[[User_talk:Guy_vandegrift/Archive_15|15]]  
[[User_talk:Guy_vandegrift/Archive_16|16]]  
[[User_talk:Guy_vandegrift/Archive_17|17]]  
[[User_talk:Guy_vandegrift/Archive_18|18]] 
[[User_talk:Guy_vandegrift/Archive_19|19]] 
&lt;/small&gt;
__TOC__

==To whom it may concern==
I lost my ability to recover my password when my wright.edu email account was suddenly closed.  When I retired, I was told that that account would remain open.  But after about 4 years, they suddenly closed it. Due to my inactivity, there is no rush to reset my password.  Furthermore, in a pinch, I could create a new account with a slightly different username.  I will periodically check messages to this page - [[User:Guy_vandegrift|Guy_vandegrift]] ([[User talk:Guy_vandegrift|discuss]] • [[Special:Contributions/Guy_vandegrift|contribs]]) 15:56, 9 April 2026 (UTC)

{{cot|This content may be cleared b/c it is in Archive 17}}

== moves==

I reverted two of your moves, as these pages are included in a course and why should they be under the name of some user? Best regards, [[User:Bocardodarapti|Bocardodarapti]] ([[User talk:Bocardodarapti|discuss]] • [[Special:Contributions/Bocardodarapti|contribs]]) 09:25, 30 December 2023 (UTC)
:{{ping|Bocardodarapti}} &lt;big&gt;'''My apologies!'''&lt;/big&gt;  I am helping a crew attempting to clean up Wikiversity and it was put up for deletion.  In a twisted sort of way, you could say I &quot;rescued&quot; it by moving it into user space.  But I should have been more attentive and simply removed the deletion template.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 12:22, 30 December 2023 (UTC)
:{{ping|Dan Polansky|MGA73|Omphalographer|Dave Braunschweig|koavf}} This is why Dave and I prefer &lt;code&gt;&lt;nowiki&gt;{{subst:prod}}&lt;/nowiki&gt;&lt;/code&gt; to &lt;code&gt;&lt;nowiki&gt;{{delete}}&lt;/nowiki&gt;&lt;/code&gt;, and why I like to move pages to userspace.  Moving the page to userspace meant Bocardodarapti could instantly revert my mistake. Our most valuable &quot;customers&quot; are teachers who bring students to Wikiversity, and I hope some of these students become editors.  It's almost impossible to distinguish a newbie student from a crackpot editor.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 12:58, 30 December 2023 (UTC)
:: I generally support (do not oppose) moving pages to user space rather than deleting them, although for some low-grade material that is rather too kind. But I do not oppose acts of kindness as long as the impact is only on user space. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 13:04, 30 December 2023 (UTC)
:: About the specific page, [[Pi/Real cosine function/Definition]] has no business in the mainspace: it cannot be more useless. I support speedy deletion or moving it to user space. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 13:05, 30 December 2023 (UTC)
::: &lt;small&gt;For the record, I was wrong about [[Pi/Real cosine function/Definition]], as per [[Wikiversity:Colloquium#A discussion has been started on a large collection of orphaned_subpages]]. The page is a rather small module transcluded elsewhere, e.g. from [[Mathematics for Applied Sciences (Osnabrück 2023-2024)/Part I/Lecture 16]]. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 07:02, 31 December 2023 (UTC)&lt;/small&gt;


== Files Missing Information ==
Thanks for uploading files to Wikiversity. All files must have source and license information to stay at Wikiversity. The following files are missing {{tlx|Information}} and/or [[Wikiversity:License tags]], and will be deleted if the missing information is not added. See [[Wikiversity:Uploading files]] for more information.
{{colbegin|3}}
* [[:File:Piano Prelude in C by Johann Sebastian Bach.pdf]]
{{colend}}
[[User:MaintenanceBot|MaintenanceBot]] ([[User talk:MaintenanceBot|discuss]] • [[Special:Contributions/MaintenanceBot|contribs]]) 18:20, 1 January 2024 (UTC)

== Files on Commons ==
{{Robelbox|theme=2|title=[[:Category:Files from USGS]] &amp; [[:Category:Files from Flickr]]}}&lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
Hi! Perhaps you could have a look at the files in [[:Category:NowCommons]]? I think many of the files in [[:Category:Files from USGS]] can be moved to Commons (if not allready there). It would be easier if the files allready there are deleted. --[[User:MGA73|MGA73]] ([[User talk:MGA73|discuss]] • [[Special:Contributions/MGA73|contribs]]) 21:18, 6 January 2024 (UTC)
:{{ping|MGA73}} While I contribute a lot to Commons, it's all my work. For that reason I know almost nothing about image copyright policy or fair use. Do you want me to delete image files on Wikiversity? I can do that if they are not currently being used. 

:I did remove [[:File:Uganda field trials2 lo.jpg]] after verifying that it is the same on commons and not being used on Wikiversity--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 21:59, 6 January 2024 (UTC)

:: Hi! If the file in on Commons you can delete the local file. Unless you think that it is a mistake that the file is on Commons. If the file have a different name on Commons then the pages where the local file is edited should be changed so they use the version on Commons first. --[[User:MGA73|MGA73]] ([[User talk:MGA73|discuss]] • [[Special:Contributions/MGA73|contribs]]) 11:53, 7 January 2024 (UTC)

::: There are also some files in [[:Category:Files from Flickr]] that I'm trying to get moved to Commons. --[[User:MGA73|MGA73]] ([[User talk:MGA73|discuss]] • [[Special:Contributions/MGA73|contribs]]) 12:36, 7 January 2024 (UTC)

::::Due to my lack of experience and knowledge regarding the hosting of images by Wikiversity, I will refer this matter to [[Wikiversity:Request custodian action]].--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 23:06, 7 January 2024 (UTC)

&lt;/div&gt;
{{Robelbox-close}}

==Thanks==
Hey Guy, thanks for salvaging some of my work some time ago. A while ago I found WV too tension-ridden to practically develop a course. I am planning to try again.[[User:Leutha|Leutha]] ([[User talk:Leutha|discuss]] • [[Special:Contributions/Leutha|contribs]]) 16:18, 16 February 2024 (UTC)
:{{ping|Leutha}} You are welcome.  I am still trying to salvage the work of people who take wikibreaks. See [[Wikiversity:Colloquium#How_to_handle_very-low-value_pages_AKA_deletion_and_move_to_userspace_convention]]-[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 16:30, 16 February 2024 (UTC)

==Thank you for all the work==
Let me thank you for all the work you are doing here to help cleanup Wikiversity, striking a balance between kindness and cleanup. In so far as other admins do not seem to do as much, it is unique service. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 15:46, 22 February 2024 (UTC)

== Offensive username ==

Dear custodian,


Your words :

&lt;nowiki&gt;*&lt;/nowiki&gt;&lt;nowiki&gt;''&lt;/nowiki&gt;See also &lt;nowiki&gt;[[w:Bona dea]]&lt;/nowiki&gt;&lt;nowiki&gt;''&lt;/nowiki&gt;

&lt;nowiki&gt;{{cot|Not a request to delete, but&lt;/nowiki&gt;&lt;ins&gt; to space-consuming effort&lt;/ins&gt;&lt;nowiki&gt; to change the username &quot;Bonadea&quot;}}&lt;/nowiki&gt;

Username policy :


&quot;Names of religious figures such as &quot;God&quot;, &quot;Jehovah&quot;, &quot;Buddha&quot;,  &quot;Allah&quot;, or &quot;Bonadea&quot; which may offend other people's beliefs&quot;

Please send a post to user [[user:bonadea]] talk page ,advise him change username.

== Dear Prof. Guy Vandegrift ==

I am grateful for your great work in Wikiversity, a fantastic tool for development of science. Unfortunately I am blocked in &quot;Remission of prediabetes&quot; what can i do? Thank you very much!
&quot;Saltrabook&quot; 
Dr. Olaf Jensen, prof. emer. University of Southern Denmark ocj@health.sdu.dk [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 14:51, 1 March 2024 (UTC) 

:I think you are just blocked from creating pages. You create pages at such a high rate you must by copying and translating, which is a copyright violation.  Also, this many page creations is  disruptive to Wikiversity.  Don't worry, we will work this through together.  My understanding is that you want to create the page [[Remission of prediabetes]], right?--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 14:54, 1 March 2024 (UTC)
::My understanding is that you want to create the page Remission of prediabetes, right?--Guy vandegrift (discuss • contribs) 14:54, 1 March 2024 (UTC). Yes, &quot;Remission of prediabetes&quot; is a precise main page name, I am sorry, I have to learn when can i start? [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 16:19, 2 March 2024 (UTC)
:::Our concern is that you are creating a large number of pages, and they disrupt our wiki.  Are you copying these pages or using a translation software program to create them?--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 16:22, 2 March 2024 (UTC)

== MATLAB/Octave ==
Do you think it would be a good idea to restore [[MATLAB/Octave]] (deleted in 2021) and move it to [[Draft:Archive/2024/MATLAB/Octave]]? I could then have a glance at it and see whether anything could be salvaged for [[GNU Octave]] page. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 09:22, 3 March 2024 (UTC)
:{{ping|Polansky}} I undeleted it.  It was I who deleted with comment to the effect that there are too many errors for me to fix.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 14:23, 3 March 2024 (UTC)
:: Thank you. I did not realize you were the author of the &quot;[[MATLAB/Octave]]&quot; page. There does not seem to be any material usable for [[GNU Octave]]: the bulk of the page is about installing Octave, then there is a short guide to Unix/Linux commands (help, cd, dir, mkdir, rmdir), etc. But almost nothing on Octave per se.
:: Should I moved it to [[Draft:Archive/2024]] or do you want to have it deleted again? (I am fine with both.) --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 14:42, 3 March 2024 (UTC)
:::I know I deleted it, but don't remember why.  I will go ahead and re-delete.  Thanks for looking into that. Also, I have an important question: '''How did you know that the page even existed if it was deleted?''' --[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 15:22, 3 March 2024 (UTC)
:::: The [[MATLAB/Octave]] page was a redlink in [[MATLAB]] before I edited [[MATLAB]] to remove the redlink. It is still a redlink (currently blue) in [[Physics equations/07-Work and Energy/Q:cart1/history]]. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 15:33, 3 March 2024 (UTC)
:::::Thanks.  I should have thought of that as the most likely explanation.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 15:38, 3 March 2024 (UTC)
::::::correct, Danish mother language, med dr. specialist dr. in occupational medicine and 32 years in maritime pub.health occupational medical research in the University Southern Denmark, latest 18 year mainly living in Panama working with Spanish speaking people. I started the Occupational Medical Wikibook, now finished, 10 years ago to fill out the lack of occupational medicine textbook in Panama. Would be grateful if I could have access to the blocked pages on &quot;Prediabetes remission&quot; then i would locate them all in the new space, have no personal things to hide, my name is not to hide. Thank you for all your help [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 21:46, 6 March 2024 (UTC)

== [[special:redirect/logid/3389938]] ==

Please check if you moved to the right namespace. Did you mean to move into userspace? [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 02:58, 5 March 2024 (UTC)
::Yes, of course.  Thanks for catching that. P.S. I like the economy of your link &lt;code&gt;&lt;nowiki&gt;[[special:redirect/logid/3389938]]&lt;/nowiki&gt;&lt;/code&gt;. Where can I find a list of such tricks? (I would have had to use an external link)--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 03:02, 5 March 2024 (UTC)
::: I think [[:w:Help:Special_page#Available_special_pages]] can help you. [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 03:14, 5 March 2024 (UTC)

==Request from Saltrabook to move large project into draftspace==
Hello Guy, please establish one main page as you offered, &quot;Prediabetes diagnostics and remission&quot;, and move my blocked pages to that one, thank you very much--[[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 16:49, 9 March 2024 (UTC)
:It's not really my decision. Wikiversity is a quasi-democracy and we need the consent of something we call &quot;the community&quot;. I will set up your user page so that you can use the pages you already created.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 17:52, 9 March 2024 (UTC)
::Thank you very much, perfect [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 18:04, 10 March 2024 (UTC)

:See '''[[user:Saltrabook]]''' for your current project. I has several nearly blank pages for you to work on.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 17:09, 9 March 2024 (UTC)
::Please delete these or ask for deletion, of all nearly empty page, sorry for these problems, thank you very much [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 17:35, 10 March 2024 (UTC)
:::I thought you might like those pages for your work.  It is better to write a few long pages than lots of little ones.  If it's OK with you, I would like to keep those pages where they are.  You might change your mind and write something on them.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 02:59, 11 March 2024 (UTC)

{{ping|Saltrabook}} Here is a list of pages where you can continue to work.  When a page is complete, let me know and I will rename it.  
{{colbegin}}
#[[User:Saltrabook/empty page-1]]
#[[User:Saltrabook/empty page-2]]
#[[User:Saltrabook/empty-page 3]]
#[[User:Saltrabook/empty-page 4]]
#[[User:Saltrabook/empty-page 5]]
#[[User:Saltrabook/sandbox]]
{{colend}}
Please try and write large pages.  Too many pages on this topic is disruptive to our wiki.19:25, 14 March 2024 (UTC)

== Reconstruction of the delete pages ==

sorry, i dont think I can reconstruct these pages except for one, the manuscript under submission to publication, Prediabetes remission to normoglycemic status. [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 13:30, 16 March 2024 (UTC)
:Where was it submitted? It would help if I knew why you can't reconstruct it: Did you discard your own copy of the draft when you submitted it? Or, do the journal's rules prohibit you from posting a submitted article due to copyright law?--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 13:40, 16 March 2024 (UTC)

== Original writings, ==

I am the author, I dont use translating software and no copy of previous published material. Sometimes i cite my own writings in the published scientific articles, but very little. Now going through the list of pages and add {{tl|db-author}} at the top - i have to be better to clean up - thank you [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 19:34, 18 March 2024 (UTC)
:{{ping|Saltrabook}} DO NOT ADD {{tl|db-author}} TO YOUR PAGES!!!!! They are deletion requests.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 20:54, 18 March 2024 (UTC)

== [[Draft:Archive/2024/Institut Teknologi PLN]] ==

With respect to [[Wikiversity:Request_custodian_action/Archive/25#University_advertisements_on_Wikiversity]], PROD should have been processed rather than archiving the page. [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 05:29, 19 March 2024 (UTC)
:{{ping|MathXplore}} Two questions:
::#Do you want me to put it back into mainspace with the same prod? (If so, I will)
::#(to be continued after I checkout what happened)--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 05:41, 19 March 2024 (UTC)
:: I think non-English content should not be moved to the mainspace, so it should remain in the current position with the prod. [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 05:44, 19 March 2024 (UTC)
:::I will move it back, but according to [https://en.wikiversity.org/w/index.php?title=Draft:Archive/2024/Institut_Teknologi_PLN&amp;oldid=2572456 2572456]], the expiration for deletion was today. Following previous practice, I thought that allowed a deletion.  Do you want to change things; or am I wrong about previous practice?--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 05:49, 19 March 2024 (UTC)
:::: Please feel free to delete the page, I don't think anyone else is working on the translation. [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 05:56, 19 March 2024 (UTC)
:::Also, I am confused about your terminology. It's in draftspace, not mainspace.  Perhaps you meant to say that the prod should not have been dewikified.  Are you saying that you want the prod to remain while it is in draft-archive space? I can do that.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 05:52, 19 March 2024 (UTC)
:::: I apologize if my words have caused any confusion. Yes, I just wanted to say that the prod should not be dewikified. [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 05:57, 19 March 2024 (UTC)
:::::Keep in mind that the entire [[Draft:Archive]] &quot;resource&quot; is just an experiment. The question of whether prods should be deleted was never sorted out in my mind.  Keeping the prods in place makes for a cleaner Draft:Archive-space.  But it also adds work for us.  I thinking somebody might make a bot to dewikify all links and all templates. That would make Draft:Archive-space sterile.  We could even have a bot that blanked all pages that are over 2 years old. ... The idea is that draft-archive-space would be essentially equivalent to outright deletion, except that all users could veiw and effectively &quot;undelete&quot;.  Such a policy makes no sense on Wikipedia, where the goal is to create a useful encyclopedia.  But Wikiversity's mission is to allow people to learn.  And most of us learn by making mistakes.  That means our mistakes should never truly be deleted (just hidden from view.) ... P.S. Don't worry, I have a lot of strange ideas.  But I don't fight for them. Henceforth prods will remain active for pages in draft-archive space.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 06:10, 19 March 2024 (UTC)
::::::I will delete [[Draft:Archive/2024/Institut Teknologi PLN]].  The page is not important. It's the policy that is important.  The &quot;mistake&quot; of not writing in English is not worth preserving for the benefit of authors who want to re-examine how they approach the art of writing.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 06:15, 19 March 2024 (UTC)

== CFC talkback ==

{{talkback|Wikiversity:Candidates_for_Custodianship/MathXplore#Questions_for_the_candidate}} [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 03:06, 20 March 2024 (UTC)

== [[Surreal numbers]] ==
Greetings. I am not clear why you are removing the page from RFD before the RFD run its course. Surely whether the page should be moved out of mainspace should depend on what kind of consensus emerges from the RFD? And before the RFD is closed, the page should remain tagged with {{tlx|rfd}}? --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 11:01, 26 March 2024 (UTC)
:Are you talking about the pages that I archived and mentioned at [[Wikiversity:Requests_for_Deletion#List_of_unresolved_deletion_requests]]? --[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 11:08, 26 March 2024 (UTC)
:: No, I am talking about removal of {{tlx|rfd}} that took place in [[Special:Diff/2615731/2615793]], which took place despite the RFD not yet being closed/resolved (my message was a bit confusing: the page was not fully removed from RFD but only as for removal of the template). --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 11:15, 26 March 2024 (UTC)
:::With only a single author, the choices are keep, subpagify, or delete.  The pages will likely become mathematics subpages and I will bring the matter up on appropriate mathematics talk pages. But both pages are sufficiently related to physics that they can go into [[Physics/Essays]].  I don't need permission from the community to put a page under [[Physics]] because that is my specialty. I changed the rfd template because there is no reason for rfd to be involved.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 11:43, 26 March 2024 (UTC)
:::: Does it mean that you can single-handedly close a RFD nomination as &quot;rejected&quot; without waiting for the result of the discussion? I did not nominate the page for RFD only to have it kept in mainspace. And if there is a disagreement about what should happen to the page--as seems to be the case--that is all the more reason to run the RFD process. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 11:51, 26 March 2024 (UTC)
:::::It means exactly that your RFD nomination was &quot;rejected&quot; without waiting for the result of the discussion. I also reverted your rfd on [[Rational numbers/Introduction]]. The author in question also created the top page, and Bureaucrat [[User:Dave Braunschweig|Dave Braunschweig]] apparently consented. The community can revert Dave's decision. But you cannot.[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 12:47, 26 March 2024 (UTC)

== Prediabetes Remission ==

Guy, please, can you help to create a new main page entitled &quot;Prediabetes Remission&quot; without &quot;maritime&quot; , for use with other transport sectors, e.g. truckers, taxi drivers etc. jobs with biannual medical health examination, to identify those with an A1C level of 39-47 mmol/L (5.7%-6.4%) (prediabetes) who are not (yet) taking medication for diabetes,
thank you [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 19:53, 29 March 2024 (UTC)

Here it is [[User:Saltrabook/Prediabetes Remission]]

It can be moved to [[Prediabetes Remission]] but that requires going though a committee.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 21:02, 29 March 2024 (UTC)

== [[Differential equations/Ordinary Differential Equations]] ==
I will not send this page to RFD to reduce conflict, by to my mind, this page is clearly junk. One should be able to understand what this page is about without reading its parent page. The page is all too typical of Wikiversity: no sources, no definitions, a haphazard/incoherent collection of sentences and this junk is supposed to be &quot;learning material&quot;. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 14:31, 31 March 2024 (UTC)
:[[Special:Diff/2617022/2617520|''This edit'']] makes no sense to me.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 16:21, 31 March 2024 (UTC)

== Possible deletion overload ==
If I am overloading you by deletion nominations, one remedy could be that I would take longer breaks in making them. Thus, there would be longer sequences of days during which I make no nominations, especially do not hit &quot;Random&quot; button to find more junk. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 15:04, 31 March 2024 (UTC)
:Why don't you create a page somewhere and simply list the pages you think we should delete?  We no idea when WV is going to formulate an updated deletion policy. And, if another custodian wishes to moderate the deletions, I will be happy to step aside. Then you can bring up your list.  Place the list wherever you wish, but I suggest [[WV:WGW2024#Personal_subpages_(with_visual_editing)]]--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 15:24, 31 March 2024 (UTC)
:: I am confused about your statements about need to update ''policy''. Since, I am proceeding in accordance with the current guidelines (some do not have &quot;policy&quot; status) that I can find, including [[WV:Deletions]], [[WV:Verifiability]] and [[WV:What is Wikiversity?]]. You make it sound as if we need to wait for some kind of policy update, and I am not clear what you mean. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 15:31, 31 March 2024 (UTC)
:::I don't have a good answer to your question. [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 15:35, 31 March 2024 (UTC)
::Hey, I just had a better idea: I will create the &quot;personal subpage&quot; with a name like &quot;Proposed deletions&quot;.  Then all deletion requests based on low quality can go there, temporarily. That resolution will allow me to remove the stuff posted at [[Wikiversity:Request custodian action]] [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 15:32, 31 March 2024 (UTC)
::: I think I am better served by stepping back from deletions for a week or two rather than starting to do something nonstandard. I am puzzled why the things standard in the English Wiktionary and the English Wikipedia are supposed not to work in the English Wikiversity. It is as if there were some kind of RFD-phobia, something unseen in the English Wiktionary. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 15:34, 31 March 2024 (UTC)
::::I think the problem is that Wikiversity has never had a clear mission.  It's name sounds like the mission of a conventional University, but universities do everything: Childhood education, football games, poetry, art, student essays, student newspapers, you-name-it.  The original plan was to host teaching materials for people to share.  And, &quot;reasearch&quot; is hard to define.  Maybe [[Student Projects]] is a research project into how students write.  My &quot;call-for-essays&quot; on a page you tried to delete certainly was research into how we can get more students involved with Wikiversity.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 15:41, 31 March 2024 (UTC)
::::: Does the above really match [[WV:Deletions]], [[WV:Verifiability]] and [[WV:What is Wikiversity?]] ? --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 15:51, 31 March 2024 (UTC)
::::::I don't have time to read those pages now.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 16:29, 31 March 2024 (UTC)

== Regarding Genetics/Human Leukocyte Antigen/Linkage Disequilibrium/DR-DQ Blocks ==

Dear Mr. Guy Vandegrift,

According to the log file for the page [[Genetics/Human Leukocyte Antigen/Linkage Disequilibrium/DR-DQ Blocks|Genetics/Human Leukocyte Antigen/Linkage Disequilibrium/DR-DQ Blocks - Wikiversity]], you deleted it [https://en.wikiversity.org/w/index.php?title=Special:Log&amp;logid=3335327 21 December 2022]. I work in a lab which performs blood tests for celiac disease and we used this page periodically in our assessments of genetic risk for celiac disease, in order to see repported haplotypes. Could you please reactivate the page, if possible, or provide us a copy of it? Thank you in advance!

Best regards,

Nicolae Miron MD [[User:Nicolae.Miron|Nicolae.Miron]] ([[User talk:Nicolae.Miron|discuss]] • [[Special:Contributions/Nicolae.Miron|contribs]]) 11:16, 2 April 2024 (UTC)

==change main page name==
Im sorry, i dont understand, why i cannot change the main page. We need to change the main page name to &quot;Pre-diabetes Remission-Net&quot; as we expand our activites to include other than the maritime area to be stronger in research and intervention practice with other researchers and occupational health practicers e.g. the Truck-drivers [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 16:59, 2 April 2024 (UTC)

:{{ping|Saltrabook}} Is this what you want?
:* [[User:Saltrabook/Pre-diabetes Remission-Net]]
:[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 19:04, 2 April 2024 (UTC)
:Yes, please, this is what i want, then the original title with &quot;Maritime Health Research and Education&quot; will be a subtitle.  Thank you very much [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 22:00, 2 April 2024 (UTC)
::Let me know if you need anything else. [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 22:12, 2 April 2024 (UTC)

==[[Number Theory/Surreal numbers]]==
&quot;Surreal numbers&quot; are misplaced since &quot;number theory&quot;, despite its name, does not concern itself with any and all numbers but rather with ''positive integers''. The move of [[Surreal numbers]] is therefore not only unnecessary/unhelpful but also incorrect. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 06:23, 3 April 2024 (UTC)
:I see your point.  I will move it back to [[Surreal numbers]] ... Actually, the topic more resembles set theory, or perhaps an alternative view of numerical analysis.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 11:20, 3 April 2024 (UTC)
:: (A non-actionable aside) At the university where I studied, if this was covered at all, it would have probably been covered in set theory classes since set-theoretic construction of rational numbers was covered there. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 12:24, 3 April 2024 (UTC)

More on [[Surreal numbers]]: I think using chatbots to write articles to &quot;save&quot; them is a poor plan. Mistakes are likely to be countless. Here is one: &quot;Real numbers is defined to include positive and negative rational numbers (p/q where p and q are integers), as well as irrational numbers (π and 21/2), but with a twist: Also included are not one, but an infinite number of infinities, along with a similar collection of &quot;zeros&quot;, often called ε (in the limit that ε→0.)&quot; Well, you mean &quot;Real numbers&quot; --&gt; &quot;Surreal numbers&quot;, right? --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 12:55, 3 April 2024 (UTC)

:That wasn't the chatbot. That was my writing, and I agree that it is garbled.  Chatbots don't make mistakes like this. If you want to see the chatbot's words, visit [[Chatbot math/Gemini/24.03/Surreal numbers]]. [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 13:34, 3 April 2024 (UTC)
:: Ah, that makes sense. Incidentally, is [[Chatbot math/Gemini/24.03/Surreal numbers]] a correct location or does it belong to Gemini? --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 14:07, 3 April 2024 (UTC)
:::Thanks. I moved it to Gemini... Also, the problem with Chatbots on Wikiversity isn't low quality, but the ability to create too much prose and too many pages.  A student who writes on bad essay that goes into a collection of bad essays does not much hurt WV.  It's the students who creates hundreds of pages, uploads thousands of files, or creates megabytes of text that overwhelms the system.  A student who writes one short essay has a non-zero probability of coming back to it and learn.  The student who writes reams of prose will never re-read it and never learn from the experience.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 14:51, 3 April 2024 (UTC)

== Prediabetes Remission-Net ==

Please create a new page, Prediabetes Remission-Net and dono replace &quot;Maritime Research and Education-Net (Mahre-Net) stay untuched. thank you very much [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 17:59, 3 April 2024 (UTC)

Here is your new page:
*[[User:Saltrabook/Prediabetes Remission-Net]] 
:--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 20:55, 3 April 2024 (UTC)

== Bureaucratship ==

Per [[Wikiversity:Candidates for Custodianship#Nominations for Bureaucratship]], you are now a bureaucrat. Congratulations! -- [[User:Dave Braunschweig|Dave Braunschweig]] ([[User talk:Dave Braunschweig|discuss]] • [[Special:Contributions/Dave Braunschweig|contribs]]) 02:00, 8 June 2024 (UTC)

Congratulations! Please feel free to reach out to me if you'd like any advice. --[[User:Mu301|mikeu]] &lt;sup&gt;[[User talk:Mu301|talk]]&lt;/sup&gt; 14:01, 11 June 2024 (UTC)

== I think we should keep our eyes on [[User:Username142857]] ==

Thank you for choosing to join the bureaucrat team. I was recently sending messages to [[User talk:Username142857]] and I noticed that you have already communicated with them in the past. I want you to note that [[User:Username142857]] has more issues apart from page creation. I have already explained to them, but if you have anything else to add, that may be helpful for [[User:Username142857]]. Thank you for your contributions. [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 03:27, 9 June 2024 (UTC)

:I just now examined enough of your interactions with them to agree with you.  The problem of too many questions might be solved by a topic ban on Wikiversity discussions. On the creation of marginal pages, we have a [[wikt:plethora|plethora]] of options.  And this user is only a microscopically small fraction of that problem. [[User:Guy vandegrift/2024/User monitoring|I will monitor this user's contributions]] and will let you know if I have any ideas. [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 04:43, 9 June 2024 (UTC)

== Plausible yet untrue ==
I propose to remove the following statement from mainspace:

: &quot;If a mathematical statement is both plausible and useful, I honestly don't care if it is true.&quot;

It is a dangerous statement, expressing a dangerously cavalier attitude toward mathematical truth. I personally got burned by reaching a mistaken conclusion about a particular mathematical hypothesis by abandoning the mathematical rigor; although my attitude was not that truth does not matter but rather that in that case the less than rigorous argument was sufficient to establish the truth, which it was not. That is not to say that intuitive arguments and plausibility checks never have value, but rather that in case of doubt, at least checking a reliable source is the minimum one should do, even if one does not try to follow the proof.

Using the above attitude, one may naively peruse e.g. Google's Gemini, make it output &quot;useful&quot; somewhat plausible statements, and end up in error real fast. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 04:48, 13 June 2024 (UTC)

:A good example is the [[w:Dirac delta function|dirac delta function]], which is not a function and cannot be graphed. Yet, by sketching a graph you can &quot;prove&quot; that &lt;math display=&quot;inline&quot;&gt;\int_{-\infty}^{\infty} \delta'(x)dx =-f'(0).&lt;/math&gt; It is entirely plausible that this result was known before a proper definition of this [[w:Distribution (mathematics)|distribution]] was established. A better example is probably renormalization theory. I am pretty sure it was being used in physics before it was fully understood. To your point, however, '''&quot;I honestly don't care...&quot;'''should probably be replaced by '''&quot;I usually don't care...&quot;'''.  Also, I purposely placed that sentence at the top as a warning to the reader not to make the mistake you alluded to.

:It's an educational resource -- sort of &quot;research for students&quot;.  When it is finished, I plan to introduce the term '''''&lt;big&gt;Conjecture?:&lt;/big&gt;'''''''' in place of ''postulates'', ''theorems'', and ''corollaries''.  Each &quot;Conjecture?&quot; would contain a link to a page where students could discuss its veracity.  After drifting between research jobs, I finally landed a teaching position where I could apply for a grant to build a plasma device with students.  That induced me to look back on research that was done many years ago on the same subject.  I was shocked that in retrospect, almost most publications back then were highly flawed.  Maybe computer science is more precise, because it is usually obvious when computer code doesn't work.  But with attempts to predict the behavior of a magnetically confined plasma, most predictions are wrong. 

:One more thing: Cable news in the US is plagued by commentators pretending to be newscasters making claims like &quot;''People are saying that this person is ...''&quot; This is a serious problem that threatens our democracy.  But surreal number theory has often be called &quot;recreational math&quot;. It's supposed to be fun.

It's nice to hear from you!--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 14:42, 13 June 2024 (UTC)

== Ideas about consciousness after death and other topics ==
Dear Guy vandegrift, I read your arguments on the topic ''[[Will we lose our consciousness after we die?]]''. Your arguments sound very interesting, but as a layperson (I don't actually understand anything about physics), I don't actually understand any of it, let alone how it relates to the continuation of consciousness after death. But I really want to understand it. I read on your user page that you are a retired physics professor. Could you explain in simple terms what your arguments are for the continuation of the consciousness after death?

Additionally, I am also curious about your opinion on my philosophical ideas–about how reality might function–which I have described on [[Wikiphilosophers]]. What do you think about topics such as free will, the meaning of life, past lives, paranormal phenomena and extraterrestrial life? I look forward to hearing from you! Kind regards, [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 23:59, 28 July 2024 (UTC)

:Several thoughts:
:#We need to distinguish between &quot;perception&quot; and &quot;reality&quot; the person in the parallel universe will think he is me.  If perception is reality, then he is me.  But of course, he is not me.
:#Regarding the physics, the &quot;Hubble volume&quot; is roughly the same everything we can see using the most powerful telescopes.  I can't guarantee that this is explained in [[Wikipedia:Hubble volume]] (which is why we need Wikiversity.)  
:#I took two philosophy courses (one in high school and the other in college) and found it a fascinating subject.  Afterwards, I read a book on a 18th or 19th century philosopher (whose name I forgot).  I was impressed by the ideas put forth by this philosopher, but cannot remember a single thing from that book (I read it about 50 years ago.)
:#My background in physics gave me a perspective about reality that I believe is shared by many if not most physicists:  Reality can not be understood; it can only be predicted.  The predictions involve mathematics, and every known mathematical model is incomplete or flawed in some way.  For that reason, I can only  view consciousness as something other people claim to have: Humans have brains that cause them to claim they possess consciousness.  
:[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 00:08, 29 July 2024 (UTC)
::Thank you for your response! Coincidentally, I created an article today on the Dutch Wikipedia about ''universeel bewustzijn'' ({{w|universal mind}}) and I wrote something about the thoughts of philosopher and computer technologist Bernardo Kastrup. According to him, the relationship between our psyche and the rest of consciousness might resemble that of patients with {{w|dissociative identity disorder}}. If such a dissociative identity disorder could occur on a cosmic level, then people might all be alters of one universal consciousness. Each individual would then have a different perspective on the world and unique physical properties, all stemming from the same underlying consciousness. Is that also what you meant with your thoughts that you just explained to me? Or should I see it (completely) differently? [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 00:18, 29 July 2024 (UTC)
:::I think there might be a connection between dissociative identity disorder and the fact that I cannot define consciousness (or even imagine how a definition could exist.) [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 00:28, 29 July 2024 (UTC)
::::Fascinating! I think that consciousness cannot be defined or explained either—it goes far beyond our human cognitive abilities. I believe that we can only experience consciousness. We only know what it feels like to be one with consciousness when we are actually one with consciousness. But still, I feel a strong urge or need to understand it as a human, haha. That must be my human ego which is determined and prideful. But still, I feel a sigh within me saying: &quot;Man, what are you doing?&quot;
::::And what do you think about other topics such as paranormality and the mystical? [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 00:36, 29 July 2024 (UTC)
:::::My grandparents and great grandparents on my fathers side were into [[w:Table-turning]].  My sister and I tried it as children, but nothing happened. [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 02:19, 29 July 2024 (UTC)
::::::Interesting! Personally, I think I possibly have experiences with reincarnation memories, contact with the deceased, energies from crystals and paranormal occurrences following conversations with psychotic persons. [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 12:54, 29 July 2024 (UTC)
::::By the way, what do you think about the statement ''{{w|Cogito, ergo sum}}''? Kind regards, [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 00:38, 29 July 2024 (UTC)
:::::I read somewhere that it only makes sense if it is a personal reflection.  Recordings of or AI generated sound bytes claiming to 'exist' are clearly unconvincing. [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 09:13, 29 July 2024 (UTC)
::::::That's an interesting question—will AI ever develop self-awareness and consciousness? Personally, I think it could be possible, provided that neuroscience collaborates with computer science and makes revolutionary discoveries, such as connecting AI to a human brain and implanting a brain into a robot. But I am not sure. Kind regards, [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 15:12, 29 July 2024 (UTC)
:: (Butting in) A sketch of a definition: consciousness is that thing that a human loses when he/she falls asleep. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 05:17, 29 July 2024 (UTC)
:::{{ping|Dan Polansky}}That definition is informal, but I like it. [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 09:03, 29 July 2024 (UTC)
::::My definition of consciousness would be: that which is aware of the existence of itself and its environment, in whatever reality or state it may be. [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 07:42, 29 July 2024 (UTC)
:::::So by that definition, would a dreaming person be in a conscious state? [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 23:36, 30 July 2024 (UTC)
::::::I would differentiate the term ''consciousness'' and ''awareness''. I see consciousness as something even deeper than the {{w|soul}} or {{w|Spirit (supernatural entity)|spirit}}, because both entities are also conscious. I think someone who dreams, certainly has a consciousness (even though the person is not aware of the world in which he is sleeping), but it is located elsewhere, perhaps outside the brain. I am convinced that consciousness goes beyond the brain and I would even venture to say that all consciousnesses are connected through a {{w|universal consciousness}}. But maybe it's the wrong term I am using for it—that may cause confusion. I just don't know any other term that is better. [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 23:58, 30 July 2024 (UTC)
:::::::Perhaps ''{{w|mental substance}}'' is a better term? This was used by {{w|René Descartes}}. Kind regards, [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 00:16, 31 July 2024 (UTC)

Peliaq hng

[[User:Boss dragonearin|Boss dragonearin]] ([[User talk:Boss dragonearin|discuss]] • [[Special:Contributions/Boss dragonearin|contribs]]) 19:48, 9 September 2024 (UTC)

== A link ==

Dear Guy vandegrift , I need an advice. 
As page [[Gravitational stress-energy tensor]] the Gravitational stress-energy tensor is constructed with the help of gravitational tensor. So the link to gravitational tensor is necessary. At the moment the link in red color and need in correction.
The page about gravitational tensor is in subspace [[Physics/Essays/Fedosin]] as [[Physics/Essays/Fedosin/Gravitational tensor]].
My question is the next: Is it possible to create the link to gravitational tensor in the form 
[[Physics/Essays/Fedosin/Gravitational tensor | gravitational tensor]] or the other form is necessary such as [[Physics/Essays/Fedosin/Gravitational tensor]] ? [[User:Fedosin|Fedosin]] ([[User talk:Fedosin|discuss]] • [[Special:Contributions/Fedosin|contribs]]) 07:45, 6 January 2025 (UTC)

== Your thoughts on Ninefold Resonance Theory ==

Dear Guy vandegrift, today I developed my new philosophical-metaphysical theory: the [[Ninefold Resonance Theory]]. I had already asked @[[User:Dan Polansky|Dan Polansky]] for feedback, which he gave, and he advised me to also get in touch with you; hence this message! I was curious about your thoughts on this latest theory of mine. If you would like to respond, please do so on [[Talk:Ninefold Resonance Theory|the discussion page]]! I look forward to hearing from you. Kind regards, [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|overleg]] • [[Special:Contributions/S. Perquin|bijdragen]]) 18:27, 28 September 2025 (UTC)

== Please help ==

@[[User:Guy vandegrift|Guy vandegrift]] Hello Guy, sorry to bother you, but i would ask your help. A curator moved and deleted my articles and I asked for help at Colloquium but got no response. If that is out of your territory, i look further. Sorry again, hope to hear from you. Thanks [[User:Harold Foppele|Harold Foppele]] ([[User talk:Harold Foppele|discuss]] • [[Special:Contributions/Harold Foppele|contribs]]) 22:07, 11 October 2025 (UTC)

== Review if possible ==

Hello @[[User:Guy vandegrift|Guy vandegrift]] would/could you be willing to review pages i made on Quantum Mechanics ? Cheers [[User:Harold Foppele|Harold Foppele]] ([[User talk:Harold Foppele|discuss]] • [[Special:Contributions/Harold Foppele|contribs]]) 23:21, 21 November 2025 (UTC)

== Draft:Archive ==

What is the purpose of this project and how it works? [[User:Juandev|Juandev]] ([[User talk:Juandev|discuss]] • [[Special:Contributions/Juandev|contribs]]) 18:42, 23 November 2025 (UTC)

:I created it when I thought somebody was becoming hyperactive when it came to deleting articles.  The problem went away, because I lost interest in protecting peoples unfinished projects, and/or the hyperactive cleanup person(s) slowed down.  Do you want me to delete them? [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 22:03, 24 November 2025 (UTC)

{{cob}}</text>
      <sha1>4nx5t1hxlh6zw1xhu9fvtsijl340xvu</sha1>
    </revision>
    <revision>
      <id>2803953</id>
      <parentid>2803952</parentid>
      <timestamp>2026-04-09T16:00:03Z</timestamp>
      <contributor>
        <username>~2026-22095-85</username>
        <id>3064874</id>
      </contributor>
      <comment>/* To whom it may concern */ ditto</comment>
      <origin>2803953</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="53363" sha1="nlp231qal70vs54hrgf6vcntman2060" xml:space="preserve">&lt;div style=&quot;text-align:center; padding: 0.5em; border: solid 3px black; background-color: yellow;&quot;&gt;
'''[http://en.wikiversity.org/w/index.php?title=User_talk:Guy_vandegrift&amp;action=edit&amp;section=new Click here to leave a new message.]'''
&lt;/div&gt;[[File:Unclesamhumor.jpg|right|95px]]
&lt;small&gt;Archives:[[User_talk:Guy_vandegrift/Archive_1|1]] [[User_talk:Guy_vandegrift/Archive_2|2]] [[User_talk:Guy_vandegrift/Archive_3|3]]
[[User_talk:Guy_vandegrift/Archive_4|4]] 
[[User_talk:Guy_vandegrift/Archive_5|5]] 
[[User_talk:Guy_vandegrift/Archive_6|6]] 
[[User_talk:Guy_vandegrift/Archive_7|7]]
[[User_talk:Guy_vandegrift/Archive_8|8]] 
[[User_talk:Guy_vandegrift/Archive_9|9]] 
[[User_talk:Guy_vandegrift/Archive_10|10]]  
[[User_talk:Guy_vandegrift/Archive_11|11]]  
[[User_talk:Guy_vandegrift/Archive_12|12]]  
[[User_talk:Guy_vandegrift/Archive_13|13]]  
[[User_talk:Guy_vandegrift/Archive_14|14]]  
[[User_talk:Guy_vandegrift/Archive_15|15]]  
[[User_talk:Guy_vandegrift/Archive_16|16]]  
[[User_talk:Guy_vandegrift/Archive_17|17]]  
[[User_talk:Guy_vandegrift/Archive_18|18]] 
[[User_talk:Guy_vandegrift/Archive_19|19]] 
&lt;/small&gt;
__TOC__

==To whom it may concern==
I lost my ability to recover my password when my wright.edu email account was closed.  When I retired, I was told that that account would remain open.  But after about 4 years, they suddenly closed it. Due to my inactivity, there is no rush to reset my password.  Furthermore, in a pinch, I could create a new account with a slightly different username.  I will periodically check messages to this page - [[User:Guy_vandegrift|Guy_vandegrift]] ([[User talk:Guy_vandegrift|discuss]] • [[Special:Contributions/Guy_vandegrift|contribs]]) 15:56, 9 April 2026 (UTC)

{{cot|This content may be cleared b/c it is in Archive 17}}

== moves==

I reverted two of your moves, as these pages are included in a course and why should they be under the name of some user? Best regards, [[User:Bocardodarapti|Bocardodarapti]] ([[User talk:Bocardodarapti|discuss]] • [[Special:Contributions/Bocardodarapti|contribs]]) 09:25, 30 December 2023 (UTC)
:{{ping|Bocardodarapti}} &lt;big&gt;'''My apologies!'''&lt;/big&gt;  I am helping a crew attempting to clean up Wikiversity and it was put up for deletion.  In a twisted sort of way, you could say I &quot;rescued&quot; it by moving it into user space.  But I should have been more attentive and simply removed the deletion template.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 12:22, 30 December 2023 (UTC)
:{{ping|Dan Polansky|MGA73|Omphalographer|Dave Braunschweig|koavf}} This is why Dave and I prefer &lt;code&gt;&lt;nowiki&gt;{{subst:prod}}&lt;/nowiki&gt;&lt;/code&gt; to &lt;code&gt;&lt;nowiki&gt;{{delete}}&lt;/nowiki&gt;&lt;/code&gt;, and why I like to move pages to userspace.  Moving the page to userspace meant Bocardodarapti could instantly revert my mistake. Our most valuable &quot;customers&quot; are teachers who bring students to Wikiversity, and I hope some of these students become editors.  It's almost impossible to distinguish a newbie student from a crackpot editor.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 12:58, 30 December 2023 (UTC)
:: I generally support (do not oppose) moving pages to user space rather than deleting them, although for some low-grade material that is rather too kind. But I do not oppose acts of kindness as long as the impact is only on user space. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 13:04, 30 December 2023 (UTC)
:: About the specific page, [[Pi/Real cosine function/Definition]] has no business in the mainspace: it cannot be more useless. I support speedy deletion or moving it to user space. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 13:05, 30 December 2023 (UTC)
::: &lt;small&gt;For the record, I was wrong about [[Pi/Real cosine function/Definition]], as per [[Wikiversity:Colloquium#A discussion has been started on a large collection of orphaned_subpages]]. The page is a rather small module transcluded elsewhere, e.g. from [[Mathematics for Applied Sciences (Osnabrück 2023-2024)/Part I/Lecture 16]]. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 07:02, 31 December 2023 (UTC)&lt;/small&gt;


== Files Missing Information ==
Thanks for uploading files to Wikiversity. All files must have source and license information to stay at Wikiversity. The following files are missing {{tlx|Information}} and/or [[Wikiversity:License tags]], and will be deleted if the missing information is not added. See [[Wikiversity:Uploading files]] for more information.
{{colbegin|3}}
* [[:File:Piano Prelude in C by Johann Sebastian Bach.pdf]]
{{colend}}
[[User:MaintenanceBot|MaintenanceBot]] ([[User talk:MaintenanceBot|discuss]] • [[Special:Contributions/MaintenanceBot|contribs]]) 18:20, 1 January 2024 (UTC)

== Files on Commons ==
{{Robelbox|theme=2|title=[[:Category:Files from USGS]] &amp; [[:Category:Files from Flickr]]}}&lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
Hi! Perhaps you could have a look at the files in [[:Category:NowCommons]]? I think many of the files in [[:Category:Files from USGS]] can be moved to Commons (if not allready there). It would be easier if the files allready there are deleted. --[[User:MGA73|MGA73]] ([[User talk:MGA73|discuss]] • [[Special:Contributions/MGA73|contribs]]) 21:18, 6 January 2024 (UTC)
:{{ping|MGA73}} While I contribute a lot to Commons, it's all my work. For that reason I know almost nothing about image copyright policy or fair use. Do you want me to delete image files on Wikiversity? I can do that if they are not currently being used. 

:I did remove [[:File:Uganda field trials2 lo.jpg]] after verifying that it is the same on commons and not being used on Wikiversity--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 21:59, 6 January 2024 (UTC)

:: Hi! If the file in on Commons you can delete the local file. Unless you think that it is a mistake that the file is on Commons. If the file have a different name on Commons then the pages where the local file is edited should be changed so they use the version on Commons first. --[[User:MGA73|MGA73]] ([[User talk:MGA73|discuss]] • [[Special:Contributions/MGA73|contribs]]) 11:53, 7 January 2024 (UTC)

::: There are also some files in [[:Category:Files from Flickr]] that I'm trying to get moved to Commons. --[[User:MGA73|MGA73]] ([[User talk:MGA73|discuss]] • [[Special:Contributions/MGA73|contribs]]) 12:36, 7 January 2024 (UTC)

::::Due to my lack of experience and knowledge regarding the hosting of images by Wikiversity, I will refer this matter to [[Wikiversity:Request custodian action]].--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 23:06, 7 January 2024 (UTC)

&lt;/div&gt;
{{Robelbox-close}}

==Thanks==
Hey Guy, thanks for salvaging some of my work some time ago. A while ago I found WV too tension-ridden to practically develop a course. I am planning to try again.[[User:Leutha|Leutha]] ([[User talk:Leutha|discuss]] • [[Special:Contributions/Leutha|contribs]]) 16:18, 16 February 2024 (UTC)
:{{ping|Leutha}} You are welcome.  I am still trying to salvage the work of people who take wikibreaks. See [[Wikiversity:Colloquium#How_to_handle_very-low-value_pages_AKA_deletion_and_move_to_userspace_convention]]-[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 16:30, 16 February 2024 (UTC)

==Thank you for all the work==
Let me thank you for all the work you are doing here to help cleanup Wikiversity, striking a balance between kindness and cleanup. In so far as other admins do not seem to do as much, it is unique service. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 15:46, 22 February 2024 (UTC)

== Offensive username ==

Dear custodian,


Your words :

&lt;nowiki&gt;*&lt;/nowiki&gt;&lt;nowiki&gt;''&lt;/nowiki&gt;See also &lt;nowiki&gt;[[w:Bona dea]]&lt;/nowiki&gt;&lt;nowiki&gt;''&lt;/nowiki&gt;

&lt;nowiki&gt;{{cot|Not a request to delete, but&lt;/nowiki&gt;&lt;ins&gt; to space-consuming effort&lt;/ins&gt;&lt;nowiki&gt; to change the username &quot;Bonadea&quot;}}&lt;/nowiki&gt;

Username policy :


&quot;Names of religious figures such as &quot;God&quot;, &quot;Jehovah&quot;, &quot;Buddha&quot;,  &quot;Allah&quot;, or &quot;Bonadea&quot; which may offend other people's beliefs&quot;

Please send a post to user [[user:bonadea]] talk page ,advise him change username.

== Dear Prof. Guy Vandegrift ==

I am grateful for your great work in Wikiversity, a fantastic tool for development of science. Unfortunately I am blocked in &quot;Remission of prediabetes&quot; what can i do? Thank you very much!
&quot;Saltrabook&quot; 
Dr. Olaf Jensen, prof. emer. University of Southern Denmark ocj@health.sdu.dk [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 14:51, 1 March 2024 (UTC) 

:I think you are just blocked from creating pages. You create pages at such a high rate you must by copying and translating, which is a copyright violation.  Also, this many page creations is  disruptive to Wikiversity.  Don't worry, we will work this through together.  My understanding is that you want to create the page [[Remission of prediabetes]], right?--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 14:54, 1 March 2024 (UTC)
::My understanding is that you want to create the page Remission of prediabetes, right?--Guy vandegrift (discuss • contribs) 14:54, 1 March 2024 (UTC). Yes, &quot;Remission of prediabetes&quot; is a precise main page name, I am sorry, I have to learn when can i start? [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 16:19, 2 March 2024 (UTC)
:::Our concern is that you are creating a large number of pages, and they disrupt our wiki.  Are you copying these pages or using a translation software program to create them?--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 16:22, 2 March 2024 (UTC)

== MATLAB/Octave ==
Do you think it would be a good idea to restore [[MATLAB/Octave]] (deleted in 2021) and move it to [[Draft:Archive/2024/MATLAB/Octave]]? I could then have a glance at it and see whether anything could be salvaged for [[GNU Octave]] page. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 09:22, 3 March 2024 (UTC)
:{{ping|Polansky}} I undeleted it.  It was I who deleted with comment to the effect that there are too many errors for me to fix.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 14:23, 3 March 2024 (UTC)
:: Thank you. I did not realize you were the author of the &quot;[[MATLAB/Octave]]&quot; page. There does not seem to be any material usable for [[GNU Octave]]: the bulk of the page is about installing Octave, then there is a short guide to Unix/Linux commands (help, cd, dir, mkdir, rmdir), etc. But almost nothing on Octave per se.
:: Should I moved it to [[Draft:Archive/2024]] or do you want to have it deleted again? (I am fine with both.) --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 14:42, 3 March 2024 (UTC)
:::I know I deleted it, but don't remember why.  I will go ahead and re-delete.  Thanks for looking into that. Also, I have an important question: '''How did you know that the page even existed if it was deleted?''' --[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 15:22, 3 March 2024 (UTC)
:::: The [[MATLAB/Octave]] page was a redlink in [[MATLAB]] before I edited [[MATLAB]] to remove the redlink. It is still a redlink (currently blue) in [[Physics equations/07-Work and Energy/Q:cart1/history]]. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 15:33, 3 March 2024 (UTC)
:::::Thanks.  I should have thought of that as the most likely explanation.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 15:38, 3 March 2024 (UTC)
::::::correct, Danish mother language, med dr. specialist dr. in occupational medicine and 32 years in maritime pub.health occupational medical research in the University Southern Denmark, latest 18 year mainly living in Panama working with Spanish speaking people. I started the Occupational Medical Wikibook, now finished, 10 years ago to fill out the lack of occupational medicine textbook in Panama. Would be grateful if I could have access to the blocked pages on &quot;Prediabetes remission&quot; then i would locate them all in the new space, have no personal things to hide, my name is not to hide. Thank you for all your help [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 21:46, 6 March 2024 (UTC)

== [[special:redirect/logid/3389938]] ==

Please check if you moved to the right namespace. Did you mean to move into userspace? [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 02:58, 5 March 2024 (UTC)
::Yes, of course.  Thanks for catching that. P.S. I like the economy of your link &lt;code&gt;&lt;nowiki&gt;[[special:redirect/logid/3389938]]&lt;/nowiki&gt;&lt;/code&gt;. Where can I find a list of such tricks? (I would have had to use an external link)--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 03:02, 5 March 2024 (UTC)
::: I think [[:w:Help:Special_page#Available_special_pages]] can help you. [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 03:14, 5 March 2024 (UTC)

==Request from Saltrabook to move large project into draftspace==
Hello Guy, please establish one main page as you offered, &quot;Prediabetes diagnostics and remission&quot;, and move my blocked pages to that one, thank you very much--[[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 16:49, 9 March 2024 (UTC)
:It's not really my decision. Wikiversity is a quasi-democracy and we need the consent of something we call &quot;the community&quot;. I will set up your user page so that you can use the pages you already created.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 17:52, 9 March 2024 (UTC)
::Thank you very much, perfect [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 18:04, 10 March 2024 (UTC)

:See '''[[user:Saltrabook]]''' for your current project. I has several nearly blank pages for you to work on.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 17:09, 9 March 2024 (UTC)
::Please delete these or ask for deletion, of all nearly empty page, sorry for these problems, thank you very much [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 17:35, 10 March 2024 (UTC)
:::I thought you might like those pages for your work.  It is better to write a few long pages than lots of little ones.  If it's OK with you, I would like to keep those pages where they are.  You might change your mind and write something on them.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 02:59, 11 March 2024 (UTC)

{{ping|Saltrabook}} Here is a list of pages where you can continue to work.  When a page is complete, let me know and I will rename it.  
{{colbegin}}
#[[User:Saltrabook/empty page-1]]
#[[User:Saltrabook/empty page-2]]
#[[User:Saltrabook/empty-page 3]]
#[[User:Saltrabook/empty-page 4]]
#[[User:Saltrabook/empty-page 5]]
#[[User:Saltrabook/sandbox]]
{{colend}}
Please try and write large pages.  Too many pages on this topic is disruptive to our wiki.19:25, 14 March 2024 (UTC)

== Reconstruction of the delete pages ==

sorry, i dont think I can reconstruct these pages except for one, the manuscript under submission to publication, Prediabetes remission to normoglycemic status. [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 13:30, 16 March 2024 (UTC)
:Where was it submitted? It would help if I knew why you can't reconstruct it: Did you discard your own copy of the draft when you submitted it? Or, do the journal's rules prohibit you from posting a submitted article due to copyright law?--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 13:40, 16 March 2024 (UTC)

== Original writings, ==

I am the author, I dont use translating software and no copy of previous published material. Sometimes i cite my own writings in the published scientific articles, but very little. Now going through the list of pages and add {{tl|db-author}} at the top - i have to be better to clean up - thank you [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 19:34, 18 March 2024 (UTC)
:{{ping|Saltrabook}} DO NOT ADD {{tl|db-author}} TO YOUR PAGES!!!!! They are deletion requests.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 20:54, 18 March 2024 (UTC)

== [[Draft:Archive/2024/Institut Teknologi PLN]] ==

With respect to [[Wikiversity:Request_custodian_action/Archive/25#University_advertisements_on_Wikiversity]], PROD should have been processed rather than archiving the page. [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 05:29, 19 March 2024 (UTC)
:{{ping|MathXplore}} Two questions:
::#Do you want me to put it back into mainspace with the same prod? (If so, I will)
::#(to be continued after I checkout what happened)--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 05:41, 19 March 2024 (UTC)
:: I think non-English content should not be moved to the mainspace, so it should remain in the current position with the prod. [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 05:44, 19 March 2024 (UTC)
:::I will move it back, but according to [https://en.wikiversity.org/w/index.php?title=Draft:Archive/2024/Institut_Teknologi_PLN&amp;oldid=2572456 2572456]], the expiration for deletion was today. Following previous practice, I thought that allowed a deletion.  Do you want to change things; or am I wrong about previous practice?--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 05:49, 19 March 2024 (UTC)
:::: Please feel free to delete the page, I don't think anyone else is working on the translation. [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 05:56, 19 March 2024 (UTC)
:::Also, I am confused about your terminology. It's in draftspace, not mainspace.  Perhaps you meant to say that the prod should not have been dewikified.  Are you saying that you want the prod to remain while it is in draft-archive space? I can do that.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 05:52, 19 March 2024 (UTC)
:::: I apologize if my words have caused any confusion. Yes, I just wanted to say that the prod should not be dewikified. [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 05:57, 19 March 2024 (UTC)
:::::Keep in mind that the entire [[Draft:Archive]] &quot;resource&quot; is just an experiment. The question of whether prods should be deleted was never sorted out in my mind.  Keeping the prods in place makes for a cleaner Draft:Archive-space.  But it also adds work for us.  I thinking somebody might make a bot to dewikify all links and all templates. That would make Draft:Archive-space sterile.  We could even have a bot that blanked all pages that are over 2 years old. ... The idea is that draft-archive-space would be essentially equivalent to outright deletion, except that all users could veiw and effectively &quot;undelete&quot;.  Such a policy makes no sense on Wikipedia, where the goal is to create a useful encyclopedia.  But Wikiversity's mission is to allow people to learn.  And most of us learn by making mistakes.  That means our mistakes should never truly be deleted (just hidden from view.) ... P.S. Don't worry, I have a lot of strange ideas.  But I don't fight for them. Henceforth prods will remain active for pages in draft-archive space.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 06:10, 19 March 2024 (UTC)
::::::I will delete [[Draft:Archive/2024/Institut Teknologi PLN]].  The page is not important. It's the policy that is important.  The &quot;mistake&quot; of not writing in English is not worth preserving for the benefit of authors who want to re-examine how they approach the art of writing.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 06:15, 19 March 2024 (UTC)

== CFC talkback ==

{{talkback|Wikiversity:Candidates_for_Custodianship/MathXplore#Questions_for_the_candidate}} [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 03:06, 20 March 2024 (UTC)

== [[Surreal numbers]] ==
Greetings. I am not clear why you are removing the page from RFD before the RFD run its course. Surely whether the page should be moved out of mainspace should depend on what kind of consensus emerges from the RFD? And before the RFD is closed, the page should remain tagged with {{tlx|rfd}}? --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 11:01, 26 March 2024 (UTC)
:Are you talking about the pages that I archived and mentioned at [[Wikiversity:Requests_for_Deletion#List_of_unresolved_deletion_requests]]? --[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 11:08, 26 March 2024 (UTC)
:: No, I am talking about removal of {{tlx|rfd}} that took place in [[Special:Diff/2615731/2615793]], which took place despite the RFD not yet being closed/resolved (my message was a bit confusing: the page was not fully removed from RFD but only as for removal of the template). --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 11:15, 26 March 2024 (UTC)
:::With only a single author, the choices are keep, subpagify, or delete.  The pages will likely become mathematics subpages and I will bring the matter up on appropriate mathematics talk pages. But both pages are sufficiently related to physics that they can go into [[Physics/Essays]].  I don't need permission from the community to put a page under [[Physics]] because that is my specialty. I changed the rfd template because there is no reason for rfd to be involved.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 11:43, 26 March 2024 (UTC)
:::: Does it mean that you can single-handedly close a RFD nomination as &quot;rejected&quot; without waiting for the result of the discussion? I did not nominate the page for RFD only to have it kept in mainspace. And if there is a disagreement about what should happen to the page--as seems to be the case--that is all the more reason to run the RFD process. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 11:51, 26 March 2024 (UTC)
:::::It means exactly that your RFD nomination was &quot;rejected&quot; without waiting for the result of the discussion. I also reverted your rfd on [[Rational numbers/Introduction]]. The author in question also created the top page, and Bureaucrat [[User:Dave Braunschweig|Dave Braunschweig]] apparently consented. The community can revert Dave's decision. But you cannot.[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 12:47, 26 March 2024 (UTC)

== Prediabetes Remission ==

Guy, please, can you help to create a new main page entitled &quot;Prediabetes Remission&quot; without &quot;maritime&quot; , for use with other transport sectors, e.g. truckers, taxi drivers etc. jobs with biannual medical health examination, to identify those with an A1C level of 39-47 mmol/L (5.7%-6.4%) (prediabetes) who are not (yet) taking medication for diabetes,
thank you [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 19:53, 29 March 2024 (UTC)

Here it is [[User:Saltrabook/Prediabetes Remission]]

It can be moved to [[Prediabetes Remission]] but that requires going though a committee.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 21:02, 29 March 2024 (UTC)

== [[Differential equations/Ordinary Differential Equations]] ==
I will not send this page to RFD to reduce conflict, by to my mind, this page is clearly junk. One should be able to understand what this page is about without reading its parent page. The page is all too typical of Wikiversity: no sources, no definitions, a haphazard/incoherent collection of sentences and this junk is supposed to be &quot;learning material&quot;. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 14:31, 31 March 2024 (UTC)
:[[Special:Diff/2617022/2617520|''This edit'']] makes no sense to me.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 16:21, 31 March 2024 (UTC)

== Possible deletion overload ==
If I am overloading you by deletion nominations, one remedy could be that I would take longer breaks in making them. Thus, there would be longer sequences of days during which I make no nominations, especially do not hit &quot;Random&quot; button to find more junk. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 15:04, 31 March 2024 (UTC)
:Why don't you create a page somewhere and simply list the pages you think we should delete?  We no idea when WV is going to formulate an updated deletion policy. And, if another custodian wishes to moderate the deletions, I will be happy to step aside. Then you can bring up your list.  Place the list wherever you wish, but I suggest [[WV:WGW2024#Personal_subpages_(with_visual_editing)]]--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 15:24, 31 March 2024 (UTC)
:: I am confused about your statements about need to update ''policy''. Since, I am proceeding in accordance with the current guidelines (some do not have &quot;policy&quot; status) that I can find, including [[WV:Deletions]], [[WV:Verifiability]] and [[WV:What is Wikiversity?]]. You make it sound as if we need to wait for some kind of policy update, and I am not clear what you mean. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 15:31, 31 March 2024 (UTC)
:::I don't have a good answer to your question. [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 15:35, 31 March 2024 (UTC)
::Hey, I just had a better idea: I will create the &quot;personal subpage&quot; with a name like &quot;Proposed deletions&quot;.  Then all deletion requests based on low quality can go there, temporarily. That resolution will allow me to remove the stuff posted at [[Wikiversity:Request custodian action]] [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 15:32, 31 March 2024 (UTC)
::: I think I am better served by stepping back from deletions for a week or two rather than starting to do something nonstandard. I am puzzled why the things standard in the English Wiktionary and the English Wikipedia are supposed not to work in the English Wikiversity. It is as if there were some kind of RFD-phobia, something unseen in the English Wiktionary. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 15:34, 31 March 2024 (UTC)
::::I think the problem is that Wikiversity has never had a clear mission.  It's name sounds like the mission of a conventional University, but universities do everything: Childhood education, football games, poetry, art, student essays, student newspapers, you-name-it.  The original plan was to host teaching materials for people to share.  And, &quot;reasearch&quot; is hard to define.  Maybe [[Student Projects]] is a research project into how students write.  My &quot;call-for-essays&quot; on a page you tried to delete certainly was research into how we can get more students involved with Wikiversity.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 15:41, 31 March 2024 (UTC)
::::: Does the above really match [[WV:Deletions]], [[WV:Verifiability]] and [[WV:What is Wikiversity?]] ? --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 15:51, 31 March 2024 (UTC)
::::::I don't have time to read those pages now.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 16:29, 31 March 2024 (UTC)

== Regarding Genetics/Human Leukocyte Antigen/Linkage Disequilibrium/DR-DQ Blocks ==

Dear Mr. Guy Vandegrift,

According to the log file for the page [[Genetics/Human Leukocyte Antigen/Linkage Disequilibrium/DR-DQ Blocks|Genetics/Human Leukocyte Antigen/Linkage Disequilibrium/DR-DQ Blocks - Wikiversity]], you deleted it [https://en.wikiversity.org/w/index.php?title=Special:Log&amp;logid=3335327 21 December 2022]. I work in a lab which performs blood tests for celiac disease and we used this page periodically in our assessments of genetic risk for celiac disease, in order to see repported haplotypes. Could you please reactivate the page, if possible, or provide us a copy of it? Thank you in advance!

Best regards,

Nicolae Miron MD [[User:Nicolae.Miron|Nicolae.Miron]] ([[User talk:Nicolae.Miron|discuss]] • [[Special:Contributions/Nicolae.Miron|contribs]]) 11:16, 2 April 2024 (UTC)

==change main page name==
Im sorry, i dont understand, why i cannot change the main page. We need to change the main page name to &quot;Pre-diabetes Remission-Net&quot; as we expand our activites to include other than the maritime area to be stronger in research and intervention practice with other researchers and occupational health practicers e.g. the Truck-drivers [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 16:59, 2 April 2024 (UTC)

:{{ping|Saltrabook}} Is this what you want?
:* [[User:Saltrabook/Pre-diabetes Remission-Net]]
:[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 19:04, 2 April 2024 (UTC)
:Yes, please, this is what i want, then the original title with &quot;Maritime Health Research and Education&quot; will be a subtitle.  Thank you very much [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 22:00, 2 April 2024 (UTC)
::Let me know if you need anything else. [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 22:12, 2 April 2024 (UTC)

==[[Number Theory/Surreal numbers]]==
&quot;Surreal numbers&quot; are misplaced since &quot;number theory&quot;, despite its name, does not concern itself with any and all numbers but rather with ''positive integers''. The move of [[Surreal numbers]] is therefore not only unnecessary/unhelpful but also incorrect. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 06:23, 3 April 2024 (UTC)
:I see your point.  I will move it back to [[Surreal numbers]] ... Actually, the topic more resembles set theory, or perhaps an alternative view of numerical analysis.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 11:20, 3 April 2024 (UTC)
:: (A non-actionable aside) At the university where I studied, if this was covered at all, it would have probably been covered in set theory classes since set-theoretic construction of rational numbers was covered there. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 12:24, 3 April 2024 (UTC)

More on [[Surreal numbers]]: I think using chatbots to write articles to &quot;save&quot; them is a poor plan. Mistakes are likely to be countless. Here is one: &quot;Real numbers is defined to include positive and negative rational numbers (p/q where p and q are integers), as well as irrational numbers (π and 21/2), but with a twist: Also included are not one, but an infinite number of infinities, along with a similar collection of &quot;zeros&quot;, often called ε (in the limit that ε→0.)&quot; Well, you mean &quot;Real numbers&quot; --&gt; &quot;Surreal numbers&quot;, right? --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 12:55, 3 April 2024 (UTC)

:That wasn't the chatbot. That was my writing, and I agree that it is garbled.  Chatbots don't make mistakes like this. If you want to see the chatbot's words, visit [[Chatbot math/Gemini/24.03/Surreal numbers]]. [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 13:34, 3 April 2024 (UTC)
:: Ah, that makes sense. Incidentally, is [[Chatbot math/Gemini/24.03/Surreal numbers]] a correct location or does it belong to Gemini? --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 14:07, 3 April 2024 (UTC)
:::Thanks. I moved it to Gemini... Also, the problem with Chatbots on Wikiversity isn't low quality, but the ability to create too much prose and too many pages.  A student who writes on bad essay that goes into a collection of bad essays does not much hurt WV.  It's the students who creates hundreds of pages, uploads thousands of files, or creates megabytes of text that overwhelms the system.  A student who writes one short essay has a non-zero probability of coming back to it and learn.  The student who writes reams of prose will never re-read it and never learn from the experience.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 14:51, 3 April 2024 (UTC)

== Prediabetes Remission-Net ==

Please create a new page, Prediabetes Remission-Net and dono replace &quot;Maritime Research and Education-Net (Mahre-Net) stay untuched. thank you very much [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 17:59, 3 April 2024 (UTC)

Here is your new page:
*[[User:Saltrabook/Prediabetes Remission-Net]] 
:--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 20:55, 3 April 2024 (UTC)

== Bureaucratship ==

Per [[Wikiversity:Candidates for Custodianship#Nominations for Bureaucratship]], you are now a bureaucrat. Congratulations! -- [[User:Dave Braunschweig|Dave Braunschweig]] ([[User talk:Dave Braunschweig|discuss]] • [[Special:Contributions/Dave Braunschweig|contribs]]) 02:00, 8 June 2024 (UTC)

Congratulations! Please feel free to reach out to me if you'd like any advice. --[[User:Mu301|mikeu]] &lt;sup&gt;[[User talk:Mu301|talk]]&lt;/sup&gt; 14:01, 11 June 2024 (UTC)

== I think we should keep our eyes on [[User:Username142857]] ==

Thank you for choosing to join the bureaucrat team. I was recently sending messages to [[User talk:Username142857]] and I noticed that you have already communicated with them in the past. I want you to note that [[User:Username142857]] has more issues apart from page creation. I have already explained to them, but if you have anything else to add, that may be helpful for [[User:Username142857]]. Thank you for your contributions. [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 03:27, 9 June 2024 (UTC)

:I just now examined enough of your interactions with them to agree with you.  The problem of too many questions might be solved by a topic ban on Wikiversity discussions. On the creation of marginal pages, we have a [[wikt:plethora|plethora]] of options.  And this user is only a microscopically small fraction of that problem. [[User:Guy vandegrift/2024/User monitoring|I will monitor this user's contributions]] and will let you know if I have any ideas. [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 04:43, 9 June 2024 (UTC)

== Plausible yet untrue ==
I propose to remove the following statement from mainspace:

: &quot;If a mathematical statement is both plausible and useful, I honestly don't care if it is true.&quot;

It is a dangerous statement, expressing a dangerously cavalier attitude toward mathematical truth. I personally got burned by reaching a mistaken conclusion about a particular mathematical hypothesis by abandoning the mathematical rigor; although my attitude was not that truth does not matter but rather that in that case the less than rigorous argument was sufficient to establish the truth, which it was not. That is not to say that intuitive arguments and plausibility checks never have value, but rather that in case of doubt, at least checking a reliable source is the minimum one should do, even if one does not try to follow the proof.

Using the above attitude, one may naively peruse e.g. Google's Gemini, make it output &quot;useful&quot; somewhat plausible statements, and end up in error real fast. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 04:48, 13 June 2024 (UTC)

:A good example is the [[w:Dirac delta function|dirac delta function]], which is not a function and cannot be graphed. Yet, by sketching a graph you can &quot;prove&quot; that &lt;math display=&quot;inline&quot;&gt;\int_{-\infty}^{\infty} \delta'(x)dx =-f'(0).&lt;/math&gt; It is entirely plausible that this result was known before a proper definition of this [[w:Distribution (mathematics)|distribution]] was established. A better example is probably renormalization theory. I am pretty sure it was being used in physics before it was fully understood. To your point, however, '''&quot;I honestly don't care...&quot;'''should probably be replaced by '''&quot;I usually don't care...&quot;'''.  Also, I purposely placed that sentence at the top as a warning to the reader not to make the mistake you alluded to.

:It's an educational resource -- sort of &quot;research for students&quot;.  When it is finished, I plan to introduce the term '''''&lt;big&gt;Conjecture?:&lt;/big&gt;'''''''' in place of ''postulates'', ''theorems'', and ''corollaries''.  Each &quot;Conjecture?&quot; would contain a link to a page where students could discuss its veracity.  After drifting between research jobs, I finally landed a teaching position where I could apply for a grant to build a plasma device with students.  That induced me to look back on research that was done many years ago on the same subject.  I was shocked that in retrospect, almost most publications back then were highly flawed.  Maybe computer science is more precise, because it is usually obvious when computer code doesn't work.  But with attempts to predict the behavior of a magnetically confined plasma, most predictions are wrong. 

:One more thing: Cable news in the US is plagued by commentators pretending to be newscasters making claims like &quot;''People are saying that this person is ...''&quot; This is a serious problem that threatens our democracy.  But surreal number theory has often be called &quot;recreational math&quot;. It's supposed to be fun.

It's nice to hear from you!--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 14:42, 13 June 2024 (UTC)

== Ideas about consciousness after death and other topics ==
Dear Guy vandegrift, I read your arguments on the topic ''[[Will we lose our consciousness after we die?]]''. Your arguments sound very interesting, but as a layperson (I don't actually understand anything about physics), I don't actually understand any of it, let alone how it relates to the continuation of consciousness after death. But I really want to understand it. I read on your user page that you are a retired physics professor. Could you explain in simple terms what your arguments are for the continuation of the consciousness after death?

Additionally, I am also curious about your opinion on my philosophical ideas–about how reality might function–which I have described on [[Wikiphilosophers]]. What do you think about topics such as free will, the meaning of life, past lives, paranormal phenomena and extraterrestrial life? I look forward to hearing from you! Kind regards, [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 23:59, 28 July 2024 (UTC)

:Several thoughts:
:#We need to distinguish between &quot;perception&quot; and &quot;reality&quot; the person in the parallel universe will think he is me.  If perception is reality, then he is me.  But of course, he is not me.
:#Regarding the physics, the &quot;Hubble volume&quot; is roughly the same everything we can see using the most powerful telescopes.  I can't guarantee that this is explained in [[Wikipedia:Hubble volume]] (which is why we need Wikiversity.)  
:#I took two philosophy courses (one in high school and the other in college) and found it a fascinating subject.  Afterwards, I read a book on a 18th or 19th century philosopher (whose name I forgot).  I was impressed by the ideas put forth by this philosopher, but cannot remember a single thing from that book (I read it about 50 years ago.)
:#My background in physics gave me a perspective about reality that I believe is shared by many if not most physicists:  Reality can not be understood; it can only be predicted.  The predictions involve mathematics, and every known mathematical model is incomplete or flawed in some way.  For that reason, I can only  view consciousness as something other people claim to have: Humans have brains that cause them to claim they possess consciousness.  
:[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 00:08, 29 July 2024 (UTC)
::Thank you for your response! Coincidentally, I created an article today on the Dutch Wikipedia about ''universeel bewustzijn'' ({{w|universal mind}}) and I wrote something about the thoughts of philosopher and computer technologist Bernardo Kastrup. According to him, the relationship between our psyche and the rest of consciousness might resemble that of patients with {{w|dissociative identity disorder}}. If such a dissociative identity disorder could occur on a cosmic level, then people might all be alters of one universal consciousness. Each individual would then have a different perspective on the world and unique physical properties, all stemming from the same underlying consciousness. Is that also what you meant with your thoughts that you just explained to me? Or should I see it (completely) differently? [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 00:18, 29 July 2024 (UTC)
:::I think there might be a connection between dissociative identity disorder and the fact that I cannot define consciousness (or even imagine how a definition could exist.) [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 00:28, 29 July 2024 (UTC)
::::Fascinating! I think that consciousness cannot be defined or explained either—it goes far beyond our human cognitive abilities. I believe that we can only experience consciousness. We only know what it feels like to be one with consciousness when we are actually one with consciousness. But still, I feel a strong urge or need to understand it as a human, haha. That must be my human ego which is determined and prideful. But still, I feel a sigh within me saying: &quot;Man, what are you doing?&quot;
::::And what do you think about other topics such as paranormality and the mystical? [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 00:36, 29 July 2024 (UTC)
:::::My grandparents and great grandparents on my fathers side were into [[w:Table-turning]].  My sister and I tried it as children, but nothing happened. [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 02:19, 29 July 2024 (UTC)
::::::Interesting! Personally, I think I possibly have experiences with reincarnation memories, contact with the deceased, energies from crystals and paranormal occurrences following conversations with psychotic persons. [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 12:54, 29 July 2024 (UTC)
::::By the way, what do you think about the statement ''{{w|Cogito, ergo sum}}''? Kind regards, [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 00:38, 29 July 2024 (UTC)
:::::I read somewhere that it only makes sense if it is a personal reflection.  Recordings of or AI generated sound bytes claiming to 'exist' are clearly unconvincing. [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 09:13, 29 July 2024 (UTC)
::::::That's an interesting question—will AI ever develop self-awareness and consciousness? Personally, I think it could be possible, provided that neuroscience collaborates with computer science and makes revolutionary discoveries, such as connecting AI to a human brain and implanting a brain into a robot. But I am not sure. Kind regards, [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 15:12, 29 July 2024 (UTC)
:: (Butting in) A sketch of a definition: consciousness is that thing that a human loses when he/she falls asleep. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 05:17, 29 July 2024 (UTC)
:::{{ping|Dan Polansky}}That definition is informal, but I like it. [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 09:03, 29 July 2024 (UTC)
::::My definition of consciousness would be: that which is aware of the existence of itself and its environment, in whatever reality or state it may be. [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 07:42, 29 July 2024 (UTC)
:::::So by that definition, would a dreaming person be in a conscious state? [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 23:36, 30 July 2024 (UTC)
::::::I would differentiate the term ''consciousness'' and ''awareness''. I see consciousness as something even deeper than the {{w|soul}} or {{w|Spirit (supernatural entity)|spirit}}, because both entities are also conscious. I think someone who dreams, certainly has a consciousness (even though the person is not aware of the world in which he is sleeping), but it is located elsewhere, perhaps outside the brain. I am convinced that consciousness goes beyond the brain and I would even venture to say that all consciousnesses are connected through a {{w|universal consciousness}}. But maybe it's the wrong term I am using for it—that may cause confusion. I just don't know any other term that is better. [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 23:58, 30 July 2024 (UTC)
:::::::Perhaps ''{{w|mental substance}}'' is a better term? This was used by {{w|René Descartes}}. Kind regards, [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 00:16, 31 July 2024 (UTC)

Peliaq hng

[[User:Boss dragonearin|Boss dragonearin]] ([[User talk:Boss dragonearin|discuss]] • [[Special:Contributions/Boss dragonearin|contribs]]) 19:48, 9 September 2024 (UTC)

== A link ==

Dear Guy vandegrift , I need an advice. 
As page [[Gravitational stress-energy tensor]] the Gravitational stress-energy tensor is constructed with the help of gravitational tensor. So the link to gravitational tensor is necessary. At the moment the link in red color and need in correction.
The page about gravitational tensor is in subspace [[Physics/Essays/Fedosin]] as [[Physics/Essays/Fedosin/Gravitational tensor]].
My question is the next: Is it possible to create the link to gravitational tensor in the form 
[[Physics/Essays/Fedosin/Gravitational tensor | gravitational tensor]] or the other form is necessary such as [[Physics/Essays/Fedosin/Gravitational tensor]] ? [[User:Fedosin|Fedosin]] ([[User talk:Fedosin|discuss]] • [[Special:Contributions/Fedosin|contribs]]) 07:45, 6 January 2025 (UTC)

== Your thoughts on Ninefold Resonance Theory ==

Dear Guy vandegrift, today I developed my new philosophical-metaphysical theory: the [[Ninefold Resonance Theory]]. I had already asked @[[User:Dan Polansky|Dan Polansky]] for feedback, which he gave, and he advised me to also get in touch with you; hence this message! I was curious about your thoughts on this latest theory of mine. If you would like to respond, please do so on [[Talk:Ninefold Resonance Theory|the discussion page]]! I look forward to hearing from you. Kind regards, [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|overleg]] • [[Special:Contributions/S. Perquin|bijdragen]]) 18:27, 28 September 2025 (UTC)

== Please help ==

@[[User:Guy vandegrift|Guy vandegrift]] Hello Guy, sorry to bother you, but i would ask your help. A curator moved and deleted my articles and I asked for help at Colloquium but got no response. If that is out of your territory, i look further. Sorry again, hope to hear from you. Thanks [[User:Harold Foppele|Harold Foppele]] ([[User talk:Harold Foppele|discuss]] • [[Special:Contributions/Harold Foppele|contribs]]) 22:07, 11 October 2025 (UTC)

== Review if possible ==

Hello @[[User:Guy vandegrift|Guy vandegrift]] would/could you be willing to review pages i made on Quantum Mechanics ? Cheers [[User:Harold Foppele|Harold Foppele]] ([[User talk:Harold Foppele|discuss]] • [[Special:Contributions/Harold Foppele|contribs]]) 23:21, 21 November 2025 (UTC)

== Draft:Archive ==

What is the purpose of this project and how it works? [[User:Juandev|Juandev]] ([[User talk:Juandev|discuss]] • [[Special:Contributions/Juandev|contribs]]) 18:42, 23 November 2025 (UTC)

:I created it when I thought somebody was becoming hyperactive when it came to deleting articles.  The problem went away, because I lost interest in protecting peoples unfinished projects, and/or the hyperactive cleanup person(s) slowed down.  Do you want me to delete them? [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 22:03, 24 November 2025 (UTC)

{{cob}}</text>
      <sha1>nlp231qal70vs54hrgf6vcntman2060</sha1>
    </revision>
    <revision>
      <id>2803954</id>
      <parentid>2803953</parentid>
      <timestamp>2026-04-09T16:01:07Z</timestamp>
      <contributor>
        <username>~2026-22095-85</username>
        <id>3064874</id>
      </contributor>
      <comment>/* To whom it may concern */ ditto</comment>
      <origin>2803954</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="53363" sha1="myunvy59mabinznskxjryiiugv1uur7" xml:space="preserve">&lt;div style=&quot;text-align:center; padding: 0.5em; border: solid 3px black; background-color: yellow;&quot;&gt;
'''[http://en.wikiversity.org/w/index.php?title=User_talk:Guy_vandegrift&amp;action=edit&amp;section=new Click here to leave a new message.]'''
&lt;/div&gt;[[File:Unclesamhumor.jpg|right|95px]]
&lt;small&gt;Archives:[[User_talk:Guy_vandegrift/Archive_1|1]] [[User_talk:Guy_vandegrift/Archive_2|2]] [[User_talk:Guy_vandegrift/Archive_3|3]]
[[User_talk:Guy_vandegrift/Archive_4|4]] 
[[User_talk:Guy_vandegrift/Archive_5|5]] 
[[User_talk:Guy_vandegrift/Archive_6|6]] 
[[User_talk:Guy_vandegrift/Archive_7|7]]
[[User_talk:Guy_vandegrift/Archive_8|8]] 
[[User_talk:Guy_vandegrift/Archive_9|9]] 
[[User_talk:Guy_vandegrift/Archive_10|10]]  
[[User_talk:Guy_vandegrift/Archive_11|11]]  
[[User_talk:Guy_vandegrift/Archive_12|12]]  
[[User_talk:Guy_vandegrift/Archive_13|13]]  
[[User_talk:Guy_vandegrift/Archive_14|14]]  
[[User_talk:Guy_vandegrift/Archive_15|15]]  
[[User_talk:Guy_vandegrift/Archive_16|16]]  
[[User_talk:Guy_vandegrift/Archive_17|17]]  
[[User_talk:Guy_vandegrift/Archive_18|18]] 
[[User_talk:Guy_vandegrift/Archive_19|19]] 
&lt;/small&gt;
__TOC__

==To whom it may concern==
I lost my ability to recover my password when my wright.edu email account was closed.  When I retired, I was told that that account would remain open.  But after about 4 years, they suddenly closed it. Due to my inactivity, there is no rush to reset my password.  Furthermore, in a pinch, I could create a new account with a slightly different username.  I will periodically check messages to this page - [[User:Guy_vandegrift|Guy_vandegrift]] ([[User talk:Guy_vandegrift|discuss]] • [[Special:Contributions/Guy_vandegrift|contribs]]) 15:56, 9 April 2026 (UTC)

{{cot|This content may be cleared b/c it is in Archive 18}}

== moves==

I reverted two of your moves, as these pages are included in a course and why should they be under the name of some user? Best regards, [[User:Bocardodarapti|Bocardodarapti]] ([[User talk:Bocardodarapti|discuss]] • [[Special:Contributions/Bocardodarapti|contribs]]) 09:25, 30 December 2023 (UTC)
:{{ping|Bocardodarapti}} &lt;big&gt;'''My apologies!'''&lt;/big&gt;  I am helping a crew attempting to clean up Wikiversity and it was put up for deletion.  In a twisted sort of way, you could say I &quot;rescued&quot; it by moving it into user space.  But I should have been more attentive and simply removed the deletion template.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 12:22, 30 December 2023 (UTC)
:{{ping|Dan Polansky|MGA73|Omphalographer|Dave Braunschweig|koavf}} This is why Dave and I prefer &lt;code&gt;&lt;nowiki&gt;{{subst:prod}}&lt;/nowiki&gt;&lt;/code&gt; to &lt;code&gt;&lt;nowiki&gt;{{delete}}&lt;/nowiki&gt;&lt;/code&gt;, and why I like to move pages to userspace.  Moving the page to userspace meant Bocardodarapti could instantly revert my mistake. Our most valuable &quot;customers&quot; are teachers who bring students to Wikiversity, and I hope some of these students become editors.  It's almost impossible to distinguish a newbie student from a crackpot editor.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 12:58, 30 December 2023 (UTC)
:: I generally support (do not oppose) moving pages to user space rather than deleting them, although for some low-grade material that is rather too kind. But I do not oppose acts of kindness as long as the impact is only on user space. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 13:04, 30 December 2023 (UTC)
:: About the specific page, [[Pi/Real cosine function/Definition]] has no business in the mainspace: it cannot be more useless. I support speedy deletion or moving it to user space. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 13:05, 30 December 2023 (UTC)
::: &lt;small&gt;For the record, I was wrong about [[Pi/Real cosine function/Definition]], as per [[Wikiversity:Colloquium#A discussion has been started on a large collection of orphaned_subpages]]. The page is a rather small module transcluded elsewhere, e.g. from [[Mathematics for Applied Sciences (Osnabrück 2023-2024)/Part I/Lecture 16]]. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 07:02, 31 December 2023 (UTC)&lt;/small&gt;


== Files Missing Information ==
Thanks for uploading files to Wikiversity. All files must have source and license information to stay at Wikiversity. The following files are missing {{tlx|Information}} and/or [[Wikiversity:License tags]], and will be deleted if the missing information is not added. See [[Wikiversity:Uploading files]] for more information.
{{colbegin|3}}
* [[:File:Piano Prelude in C by Johann Sebastian Bach.pdf]]
{{colend}}
[[User:MaintenanceBot|MaintenanceBot]] ([[User talk:MaintenanceBot|discuss]] • [[Special:Contributions/MaintenanceBot|contribs]]) 18:20, 1 January 2024 (UTC)

== Files on Commons ==
{{Robelbox|theme=2|title=[[:Category:Files from USGS]] &amp; [[:Category:Files from Flickr]]}}&lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
Hi! Perhaps you could have a look at the files in [[:Category:NowCommons]]? I think many of the files in [[:Category:Files from USGS]] can be moved to Commons (if not allready there). It would be easier if the files allready there are deleted. --[[User:MGA73|MGA73]] ([[User talk:MGA73|discuss]] • [[Special:Contributions/MGA73|contribs]]) 21:18, 6 January 2024 (UTC)
:{{ping|MGA73}} While I contribute a lot to Commons, it's all my work. For that reason I know almost nothing about image copyright policy or fair use. Do you want me to delete image files on Wikiversity? I can do that if they are not currently being used. 

:I did remove [[:File:Uganda field trials2 lo.jpg]] after verifying that it is the same on commons and not being used on Wikiversity--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 21:59, 6 January 2024 (UTC)

:: Hi! If the file in on Commons you can delete the local file. Unless you think that it is a mistake that the file is on Commons. If the file have a different name on Commons then the pages where the local file is edited should be changed so they use the version on Commons first. --[[User:MGA73|MGA73]] ([[User talk:MGA73|discuss]] • [[Special:Contributions/MGA73|contribs]]) 11:53, 7 January 2024 (UTC)

::: There are also some files in [[:Category:Files from Flickr]] that I'm trying to get moved to Commons. --[[User:MGA73|MGA73]] ([[User talk:MGA73|discuss]] • [[Special:Contributions/MGA73|contribs]]) 12:36, 7 January 2024 (UTC)

::::Due to my lack of experience and knowledge regarding the hosting of images by Wikiversity, I will refer this matter to [[Wikiversity:Request custodian action]].--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 23:06, 7 January 2024 (UTC)

&lt;/div&gt;
{{Robelbox-close}}

==Thanks==
Hey Guy, thanks for salvaging some of my work some time ago. A while ago I found WV too tension-ridden to practically develop a course. I am planning to try again.[[User:Leutha|Leutha]] ([[User talk:Leutha|discuss]] • [[Special:Contributions/Leutha|contribs]]) 16:18, 16 February 2024 (UTC)
:{{ping|Leutha}} You are welcome.  I am still trying to salvage the work of people who take wikibreaks. See [[Wikiversity:Colloquium#How_to_handle_very-low-value_pages_AKA_deletion_and_move_to_userspace_convention]]-[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 16:30, 16 February 2024 (UTC)

==Thank you for all the work==
Let me thank you for all the work you are doing here to help cleanup Wikiversity, striking a balance between kindness and cleanup. In so far as other admins do not seem to do as much, it is unique service. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 15:46, 22 February 2024 (UTC)

== Offensive username ==

Dear custodian,


Your words :

&lt;nowiki&gt;*&lt;/nowiki&gt;&lt;nowiki&gt;''&lt;/nowiki&gt;See also &lt;nowiki&gt;[[w:Bona dea]]&lt;/nowiki&gt;&lt;nowiki&gt;''&lt;/nowiki&gt;

&lt;nowiki&gt;{{cot|Not a request to delete, but&lt;/nowiki&gt;&lt;ins&gt; to space-consuming effort&lt;/ins&gt;&lt;nowiki&gt; to change the username &quot;Bonadea&quot;}}&lt;/nowiki&gt;

Username policy :


&quot;Names of religious figures such as &quot;God&quot;, &quot;Jehovah&quot;, &quot;Buddha&quot;,  &quot;Allah&quot;, or &quot;Bonadea&quot; which may offend other people's beliefs&quot;

Please send a post to user [[user:bonadea]] talk page ,advise him change username.

== Dear Prof. Guy Vandegrift ==

I am grateful for your great work in Wikiversity, a fantastic tool for development of science. Unfortunately I am blocked in &quot;Remission of prediabetes&quot; what can i do? Thank you very much!
&quot;Saltrabook&quot; 
Dr. Olaf Jensen, prof. emer. University of Southern Denmark ocj@health.sdu.dk [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 14:51, 1 March 2024 (UTC) 

:I think you are just blocked from creating pages. You create pages at such a high rate you must by copying and translating, which is a copyright violation.  Also, this many page creations is  disruptive to Wikiversity.  Don't worry, we will work this through together.  My understanding is that you want to create the page [[Remission of prediabetes]], right?--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 14:54, 1 March 2024 (UTC)
::My understanding is that you want to create the page Remission of prediabetes, right?--Guy vandegrift (discuss • contribs) 14:54, 1 March 2024 (UTC). Yes, &quot;Remission of prediabetes&quot; is a precise main page name, I am sorry, I have to learn when can i start? [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 16:19, 2 March 2024 (UTC)
:::Our concern is that you are creating a large number of pages, and they disrupt our wiki.  Are you copying these pages or using a translation software program to create them?--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 16:22, 2 March 2024 (UTC)

== MATLAB/Octave ==
Do you think it would be a good idea to restore [[MATLAB/Octave]] (deleted in 2021) and move it to [[Draft:Archive/2024/MATLAB/Octave]]? I could then have a glance at it and see whether anything could be salvaged for [[GNU Octave]] page. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 09:22, 3 March 2024 (UTC)
:{{ping|Polansky}} I undeleted it.  It was I who deleted with comment to the effect that there are too many errors for me to fix.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 14:23, 3 March 2024 (UTC)
:: Thank you. I did not realize you were the author of the &quot;[[MATLAB/Octave]]&quot; page. There does not seem to be any material usable for [[GNU Octave]]: the bulk of the page is about installing Octave, then there is a short guide to Unix/Linux commands (help, cd, dir, mkdir, rmdir), etc. But almost nothing on Octave per se.
:: Should I moved it to [[Draft:Archive/2024]] or do you want to have it deleted again? (I am fine with both.) --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 14:42, 3 March 2024 (UTC)
:::I know I deleted it, but don't remember why.  I will go ahead and re-delete.  Thanks for looking into that. Also, I have an important question: '''How did you know that the page even existed if it was deleted?''' --[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 15:22, 3 March 2024 (UTC)
:::: The [[MATLAB/Octave]] page was a redlink in [[MATLAB]] before I edited [[MATLAB]] to remove the redlink. It is still a redlink (currently blue) in [[Physics equations/07-Work and Energy/Q:cart1/history]]. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 15:33, 3 March 2024 (UTC)
:::::Thanks.  I should have thought of that as the most likely explanation.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 15:38, 3 March 2024 (UTC)
::::::correct, Danish mother language, med dr. specialist dr. in occupational medicine and 32 years in maritime pub.health occupational medical research in the University Southern Denmark, latest 18 year mainly living in Panama working with Spanish speaking people. I started the Occupational Medical Wikibook, now finished, 10 years ago to fill out the lack of occupational medicine textbook in Panama. Would be grateful if I could have access to the blocked pages on &quot;Prediabetes remission&quot; then i would locate them all in the new space, have no personal things to hide, my name is not to hide. Thank you for all your help [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 21:46, 6 March 2024 (UTC)

== [[special:redirect/logid/3389938]] ==

Please check if you moved to the right namespace. Did you mean to move into userspace? [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 02:58, 5 March 2024 (UTC)
::Yes, of course.  Thanks for catching that. P.S. I like the economy of your link &lt;code&gt;&lt;nowiki&gt;[[special:redirect/logid/3389938]]&lt;/nowiki&gt;&lt;/code&gt;. Where can I find a list of such tricks? (I would have had to use an external link)--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 03:02, 5 March 2024 (UTC)
::: I think [[:w:Help:Special_page#Available_special_pages]] can help you. [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 03:14, 5 March 2024 (UTC)

==Request from Saltrabook to move large project into draftspace==
Hello Guy, please establish one main page as you offered, &quot;Prediabetes diagnostics and remission&quot;, and move my blocked pages to that one, thank you very much--[[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 16:49, 9 March 2024 (UTC)
:It's not really my decision. Wikiversity is a quasi-democracy and we need the consent of something we call &quot;the community&quot;. I will set up your user page so that you can use the pages you already created.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 17:52, 9 March 2024 (UTC)
::Thank you very much, perfect [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 18:04, 10 March 2024 (UTC)

:See '''[[user:Saltrabook]]''' for your current project. I has several nearly blank pages for you to work on.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 17:09, 9 March 2024 (UTC)
::Please delete these or ask for deletion, of all nearly empty page, sorry for these problems, thank you very much [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 17:35, 10 March 2024 (UTC)
:::I thought you might like those pages for your work.  It is better to write a few long pages than lots of little ones.  If it's OK with you, I would like to keep those pages where they are.  You might change your mind and write something on them.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 02:59, 11 March 2024 (UTC)

{{ping|Saltrabook}} Here is a list of pages where you can continue to work.  When a page is complete, let me know and I will rename it.  
{{colbegin}}
#[[User:Saltrabook/empty page-1]]
#[[User:Saltrabook/empty page-2]]
#[[User:Saltrabook/empty-page 3]]
#[[User:Saltrabook/empty-page 4]]
#[[User:Saltrabook/empty-page 5]]
#[[User:Saltrabook/sandbox]]
{{colend}}
Please try and write large pages.  Too many pages on this topic is disruptive to our wiki.19:25, 14 March 2024 (UTC)

== Reconstruction of the delete pages ==

sorry, i dont think I can reconstruct these pages except for one, the manuscript under submission to publication, Prediabetes remission to normoglycemic status. [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 13:30, 16 March 2024 (UTC)
:Where was it submitted? It would help if I knew why you can't reconstruct it: Did you discard your own copy of the draft when you submitted it? Or, do the journal's rules prohibit you from posting a submitted article due to copyright law?--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 13:40, 16 March 2024 (UTC)

== Original writings, ==

I am the author, I dont use translating software and no copy of previous published material. Sometimes i cite my own writings in the published scientific articles, but very little. Now going through the list of pages and add {{tl|db-author}} at the top - i have to be better to clean up - thank you [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 19:34, 18 March 2024 (UTC)
:{{ping|Saltrabook}} DO NOT ADD {{tl|db-author}} TO YOUR PAGES!!!!! They are deletion requests.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 20:54, 18 March 2024 (UTC)

== [[Draft:Archive/2024/Institut Teknologi PLN]] ==

With respect to [[Wikiversity:Request_custodian_action/Archive/25#University_advertisements_on_Wikiversity]], PROD should have been processed rather than archiving the page. [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 05:29, 19 March 2024 (UTC)
:{{ping|MathXplore}} Two questions:
::#Do you want me to put it back into mainspace with the same prod? (If so, I will)
::#(to be continued after I checkout what happened)--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 05:41, 19 March 2024 (UTC)
:: I think non-English content should not be moved to the mainspace, so it should remain in the current position with the prod. [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 05:44, 19 March 2024 (UTC)
:::I will move it back, but according to [https://en.wikiversity.org/w/index.php?title=Draft:Archive/2024/Institut_Teknologi_PLN&amp;oldid=2572456 2572456]], the expiration for deletion was today. Following previous practice, I thought that allowed a deletion.  Do you want to change things; or am I wrong about previous practice?--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 05:49, 19 March 2024 (UTC)
:::: Please feel free to delete the page, I don't think anyone else is working on the translation. [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 05:56, 19 March 2024 (UTC)
:::Also, I am confused about your terminology. It's in draftspace, not mainspace.  Perhaps you meant to say that the prod should not have been dewikified.  Are you saying that you want the prod to remain while it is in draft-archive space? I can do that.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 05:52, 19 March 2024 (UTC)
:::: I apologize if my words have caused any confusion. Yes, I just wanted to say that the prod should not be dewikified. [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 05:57, 19 March 2024 (UTC)
:::::Keep in mind that the entire [[Draft:Archive]] &quot;resource&quot; is just an experiment. The question of whether prods should be deleted was never sorted out in my mind.  Keeping the prods in place makes for a cleaner Draft:Archive-space.  But it also adds work for us.  I thinking somebody might make a bot to dewikify all links and all templates. That would make Draft:Archive-space sterile.  We could even have a bot that blanked all pages that are over 2 years old. ... The idea is that draft-archive-space would be essentially equivalent to outright deletion, except that all users could veiw and effectively &quot;undelete&quot;.  Such a policy makes no sense on Wikipedia, where the goal is to create a useful encyclopedia.  But Wikiversity's mission is to allow people to learn.  And most of us learn by making mistakes.  That means our mistakes should never truly be deleted (just hidden from view.) ... P.S. Don't worry, I have a lot of strange ideas.  But I don't fight for them. Henceforth prods will remain active for pages in draft-archive space.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 06:10, 19 March 2024 (UTC)
::::::I will delete [[Draft:Archive/2024/Institut Teknologi PLN]].  The page is not important. It's the policy that is important.  The &quot;mistake&quot; of not writing in English is not worth preserving for the benefit of authors who want to re-examine how they approach the art of writing.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 06:15, 19 March 2024 (UTC)

== CFC talkback ==

{{talkback|Wikiversity:Candidates_for_Custodianship/MathXplore#Questions_for_the_candidate}} [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 03:06, 20 March 2024 (UTC)

== [[Surreal numbers]] ==
Greetings. I am not clear why you are removing the page from RFD before the RFD run its course. Surely whether the page should be moved out of mainspace should depend on what kind of consensus emerges from the RFD? And before the RFD is closed, the page should remain tagged with {{tlx|rfd}}? --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 11:01, 26 March 2024 (UTC)
:Are you talking about the pages that I archived and mentioned at [[Wikiversity:Requests_for_Deletion#List_of_unresolved_deletion_requests]]? --[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 11:08, 26 March 2024 (UTC)
:: No, I am talking about removal of {{tlx|rfd}} that took place in [[Special:Diff/2615731/2615793]], which took place despite the RFD not yet being closed/resolved (my message was a bit confusing: the page was not fully removed from RFD but only as for removal of the template). --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 11:15, 26 March 2024 (UTC)
:::With only a single author, the choices are keep, subpagify, or delete.  The pages will likely become mathematics subpages and I will bring the matter up on appropriate mathematics talk pages. But both pages are sufficiently related to physics that they can go into [[Physics/Essays]].  I don't need permission from the community to put a page under [[Physics]] because that is my specialty. I changed the rfd template because there is no reason for rfd to be involved.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 11:43, 26 March 2024 (UTC)
:::: Does it mean that you can single-handedly close a RFD nomination as &quot;rejected&quot; without waiting for the result of the discussion? I did not nominate the page for RFD only to have it kept in mainspace. And if there is a disagreement about what should happen to the page--as seems to be the case--that is all the more reason to run the RFD process. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 11:51, 26 March 2024 (UTC)
:::::It means exactly that your RFD nomination was &quot;rejected&quot; without waiting for the result of the discussion. I also reverted your rfd on [[Rational numbers/Introduction]]. The author in question also created the top page, and Bureaucrat [[User:Dave Braunschweig|Dave Braunschweig]] apparently consented. The community can revert Dave's decision. But you cannot.[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 12:47, 26 March 2024 (UTC)

== Prediabetes Remission ==

Guy, please, can you help to create a new main page entitled &quot;Prediabetes Remission&quot; without &quot;maritime&quot; , for use with other transport sectors, e.g. truckers, taxi drivers etc. jobs with biannual medical health examination, to identify those with an A1C level of 39-47 mmol/L (5.7%-6.4%) (prediabetes) who are not (yet) taking medication for diabetes,
thank you [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 19:53, 29 March 2024 (UTC)

Here it is [[User:Saltrabook/Prediabetes Remission]]

It can be moved to [[Prediabetes Remission]] but that requires going though a committee.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 21:02, 29 March 2024 (UTC)

== [[Differential equations/Ordinary Differential Equations]] ==
I will not send this page to RFD to reduce conflict, by to my mind, this page is clearly junk. One should be able to understand what this page is about without reading its parent page. The page is all too typical of Wikiversity: no sources, no definitions, a haphazard/incoherent collection of sentences and this junk is supposed to be &quot;learning material&quot;. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 14:31, 31 March 2024 (UTC)
:[[Special:Diff/2617022/2617520|''This edit'']] makes no sense to me.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 16:21, 31 March 2024 (UTC)

== Possible deletion overload ==
If I am overloading you by deletion nominations, one remedy could be that I would take longer breaks in making them. Thus, there would be longer sequences of days during which I make no nominations, especially do not hit &quot;Random&quot; button to find more junk. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 15:04, 31 March 2024 (UTC)
:Why don't you create a page somewhere and simply list the pages you think we should delete?  We no idea when WV is going to formulate an updated deletion policy. And, if another custodian wishes to moderate the deletions, I will be happy to step aside. Then you can bring up your list.  Place the list wherever you wish, but I suggest [[WV:WGW2024#Personal_subpages_(with_visual_editing)]]--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 15:24, 31 March 2024 (UTC)
:: I am confused about your statements about need to update ''policy''. Since, I am proceeding in accordance with the current guidelines (some do not have &quot;policy&quot; status) that I can find, including [[WV:Deletions]], [[WV:Verifiability]] and [[WV:What is Wikiversity?]]. You make it sound as if we need to wait for some kind of policy update, and I am not clear what you mean. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 15:31, 31 March 2024 (UTC)
:::I don't have a good answer to your question. [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 15:35, 31 March 2024 (UTC)
::Hey, I just had a better idea: I will create the &quot;personal subpage&quot; with a name like &quot;Proposed deletions&quot;.  Then all deletion requests based on low quality can go there, temporarily. That resolution will allow me to remove the stuff posted at [[Wikiversity:Request custodian action]] [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 15:32, 31 March 2024 (UTC)
::: I think I am better served by stepping back from deletions for a week or two rather than starting to do something nonstandard. I am puzzled why the things standard in the English Wiktionary and the English Wikipedia are supposed not to work in the English Wikiversity. It is as if there were some kind of RFD-phobia, something unseen in the English Wiktionary. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 15:34, 31 March 2024 (UTC)
::::I think the problem is that Wikiversity has never had a clear mission.  It's name sounds like the mission of a conventional University, but universities do everything: Childhood education, football games, poetry, art, student essays, student newspapers, you-name-it.  The original plan was to host teaching materials for people to share.  And, &quot;reasearch&quot; is hard to define.  Maybe [[Student Projects]] is a research project into how students write.  My &quot;call-for-essays&quot; on a page you tried to delete certainly was research into how we can get more students involved with Wikiversity.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 15:41, 31 March 2024 (UTC)
::::: Does the above really match [[WV:Deletions]], [[WV:Verifiability]] and [[WV:What is Wikiversity?]] ? --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 15:51, 31 March 2024 (UTC)
::::::I don't have time to read those pages now.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 16:29, 31 March 2024 (UTC)

== Regarding Genetics/Human Leukocyte Antigen/Linkage Disequilibrium/DR-DQ Blocks ==

Dear Mr. Guy Vandegrift,

According to the log file for the page [[Genetics/Human Leukocyte Antigen/Linkage Disequilibrium/DR-DQ Blocks|Genetics/Human Leukocyte Antigen/Linkage Disequilibrium/DR-DQ Blocks - Wikiversity]], you deleted it [https://en.wikiversity.org/w/index.php?title=Special:Log&amp;logid=3335327 21 December 2022]. I work in a lab which performs blood tests for celiac disease and we used this page periodically in our assessments of genetic risk for celiac disease, in order to see repported haplotypes. Could you please reactivate the page, if possible, or provide us a copy of it? Thank you in advance!

Best regards,

Nicolae Miron MD [[User:Nicolae.Miron|Nicolae.Miron]] ([[User talk:Nicolae.Miron|discuss]] • [[Special:Contributions/Nicolae.Miron|contribs]]) 11:16, 2 April 2024 (UTC)

==change main page name==
Im sorry, i dont understand, why i cannot change the main page. We need to change the main page name to &quot;Pre-diabetes Remission-Net&quot; as we expand our activites to include other than the maritime area to be stronger in research and intervention practice with other researchers and occupational health practicers e.g. the Truck-drivers [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 16:59, 2 April 2024 (UTC)

:{{ping|Saltrabook}} Is this what you want?
:* [[User:Saltrabook/Pre-diabetes Remission-Net]]
:[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 19:04, 2 April 2024 (UTC)
:Yes, please, this is what i want, then the original title with &quot;Maritime Health Research and Education&quot; will be a subtitle.  Thank you very much [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 22:00, 2 April 2024 (UTC)
::Let me know if you need anything else. [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 22:12, 2 April 2024 (UTC)

==[[Number Theory/Surreal numbers]]==
&quot;Surreal numbers&quot; are misplaced since &quot;number theory&quot;, despite its name, does not concern itself with any and all numbers but rather with ''positive integers''. The move of [[Surreal numbers]] is therefore not only unnecessary/unhelpful but also incorrect. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 06:23, 3 April 2024 (UTC)
:I see your point.  I will move it back to [[Surreal numbers]] ... Actually, the topic more resembles set theory, or perhaps an alternative view of numerical analysis.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 11:20, 3 April 2024 (UTC)
:: (A non-actionable aside) At the university where I studied, if this was covered at all, it would have probably been covered in set theory classes since set-theoretic construction of rational numbers was covered there. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 12:24, 3 April 2024 (UTC)

More on [[Surreal numbers]]: I think using chatbots to write articles to &quot;save&quot; them is a poor plan. Mistakes are likely to be countless. Here is one: &quot;Real numbers is defined to include positive and negative rational numbers (p/q where p and q are integers), as well as irrational numbers (π and 21/2), but with a twist: Also included are not one, but an infinite number of infinities, along with a similar collection of &quot;zeros&quot;, often called ε (in the limit that ε→0.)&quot; Well, you mean &quot;Real numbers&quot; --&gt; &quot;Surreal numbers&quot;, right? --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 12:55, 3 April 2024 (UTC)

:That wasn't the chatbot. That was my writing, and I agree that it is garbled.  Chatbots don't make mistakes like this. If you want to see the chatbot's words, visit [[Chatbot math/Gemini/24.03/Surreal numbers]]. [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 13:34, 3 April 2024 (UTC)
:: Ah, that makes sense. Incidentally, is [[Chatbot math/Gemini/24.03/Surreal numbers]] a correct location or does it belong to Gemini? --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 14:07, 3 April 2024 (UTC)
:::Thanks. I moved it to Gemini... Also, the problem with Chatbots on Wikiversity isn't low quality, but the ability to create too much prose and too many pages.  A student who writes on bad essay that goes into a collection of bad essays does not much hurt WV.  It's the students who creates hundreds of pages, uploads thousands of files, or creates megabytes of text that overwhelms the system.  A student who writes one short essay has a non-zero probability of coming back to it and learn.  The student who writes reams of prose will never re-read it and never learn from the experience.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 14:51, 3 April 2024 (UTC)

== Prediabetes Remission-Net ==

Please create a new page, Prediabetes Remission-Net and dono replace &quot;Maritime Research and Education-Net (Mahre-Net) stay untuched. thank you very much [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 17:59, 3 April 2024 (UTC)

Here is your new page:
*[[User:Saltrabook/Prediabetes Remission-Net]] 
:--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 20:55, 3 April 2024 (UTC)

== Bureaucratship ==

Per [[Wikiversity:Candidates for Custodianship#Nominations for Bureaucratship]], you are now a bureaucrat. Congratulations! -- [[User:Dave Braunschweig|Dave Braunschweig]] ([[User talk:Dave Braunschweig|discuss]] • [[Special:Contributions/Dave Braunschweig|contribs]]) 02:00, 8 June 2024 (UTC)

Congratulations! Please feel free to reach out to me if you'd like any advice. --[[User:Mu301|mikeu]] &lt;sup&gt;[[User talk:Mu301|talk]]&lt;/sup&gt; 14:01, 11 June 2024 (UTC)

== I think we should keep our eyes on [[User:Username142857]] ==

Thank you for choosing to join the bureaucrat team. I was recently sending messages to [[User talk:Username142857]] and I noticed that you have already communicated with them in the past. I want you to note that [[User:Username142857]] has more issues apart from page creation. I have already explained to them, but if you have anything else to add, that may be helpful for [[User:Username142857]]. Thank you for your contributions. [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 03:27, 9 June 2024 (UTC)

:I just now examined enough of your interactions with them to agree with you.  The problem of too many questions might be solved by a topic ban on Wikiversity discussions. On the creation of marginal pages, we have a [[wikt:plethora|plethora]] of options.  And this user is only a microscopically small fraction of that problem. [[User:Guy vandegrift/2024/User monitoring|I will monitor this user's contributions]] and will let you know if I have any ideas. [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 04:43, 9 June 2024 (UTC)

== Plausible yet untrue ==
I propose to remove the following statement from mainspace:

: &quot;If a mathematical statement is both plausible and useful, I honestly don't care if it is true.&quot;

It is a dangerous statement, expressing a dangerously cavalier attitude toward mathematical truth. I personally got burned by reaching a mistaken conclusion about a particular mathematical hypothesis by abandoning the mathematical rigor; although my attitude was not that truth does not matter but rather that in that case the less than rigorous argument was sufficient to establish the truth, which it was not. That is not to say that intuitive arguments and plausibility checks never have value, but rather that in case of doubt, at least checking a reliable source is the minimum one should do, even if one does not try to follow the proof.

Using the above attitude, one may naively peruse e.g. Google's Gemini, make it output &quot;useful&quot; somewhat plausible statements, and end up in error real fast. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 04:48, 13 June 2024 (UTC)

:A good example is the [[w:Dirac delta function|dirac delta function]], which is not a function and cannot be graphed. Yet, by sketching a graph you can &quot;prove&quot; that &lt;math display=&quot;inline&quot;&gt;\int_{-\infty}^{\infty} \delta'(x)dx =-f'(0).&lt;/math&gt; It is entirely plausible that this result was known before a proper definition of this [[w:Distribution (mathematics)|distribution]] was established. A better example is probably renormalization theory. I am pretty sure it was being used in physics before it was fully understood. To your point, however, '''&quot;I honestly don't care...&quot;'''should probably be replaced by '''&quot;I usually don't care...&quot;'''.  Also, I purposely placed that sentence at the top as a warning to the reader not to make the mistake you alluded to.

:It's an educational resource -- sort of &quot;research for students&quot;.  When it is finished, I plan to introduce the term '''''&lt;big&gt;Conjecture?:&lt;/big&gt;'''''''' in place of ''postulates'', ''theorems'', and ''corollaries''.  Each &quot;Conjecture?&quot; would contain a link to a page where students could discuss its veracity.  After drifting between research jobs, I finally landed a teaching position where I could apply for a grant to build a plasma device with students.  That induced me to look back on research that was done many years ago on the same subject.  I was shocked that in retrospect, almost most publications back then were highly flawed.  Maybe computer science is more precise, because it is usually obvious when computer code doesn't work.  But with attempts to predict the behavior of a magnetically confined plasma, most predictions are wrong. 

:One more thing: Cable news in the US is plagued by commentators pretending to be newscasters making claims like &quot;''People are saying that this person is ...''&quot; This is a serious problem that threatens our democracy.  But surreal number theory has often be called &quot;recreational math&quot;. It's supposed to be fun.

It's nice to hear from you!--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 14:42, 13 June 2024 (UTC)

== Ideas about consciousness after death and other topics ==
Dear Guy vandegrift, I read your arguments on the topic ''[[Will we lose our consciousness after we die?]]''. Your arguments sound very interesting, but as a layperson (I don't actually understand anything about physics), I don't actually understand any of it, let alone how it relates to the continuation of consciousness after death. But I really want to understand it. I read on your user page that you are a retired physics professor. Could you explain in simple terms what your arguments are for the continuation of the consciousness after death?

Additionally, I am also curious about your opinion on my philosophical ideas–about how reality might function–which I have described on [[Wikiphilosophers]]. What do you think about topics such as free will, the meaning of life, past lives, paranormal phenomena and extraterrestrial life? I look forward to hearing from you! Kind regards, [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 23:59, 28 July 2024 (UTC)

:Several thoughts:
:#We need to distinguish between &quot;perception&quot; and &quot;reality&quot; the person in the parallel universe will think he is me.  If perception is reality, then he is me.  But of course, he is not me.
:#Regarding the physics, the &quot;Hubble volume&quot; is roughly the same everything we can see using the most powerful telescopes.  I can't guarantee that this is explained in [[Wikipedia:Hubble volume]] (which is why we need Wikiversity.)  
:#I took two philosophy courses (one in high school and the other in college) and found it a fascinating subject.  Afterwards, I read a book on a 18th or 19th century philosopher (whose name I forgot).  I was impressed by the ideas put forth by this philosopher, but cannot remember a single thing from that book (I read it about 50 years ago.)
:#My background in physics gave me a perspective about reality that I believe is shared by many if not most physicists:  Reality can not be understood; it can only be predicted.  The predictions involve mathematics, and every known mathematical model is incomplete or flawed in some way.  For that reason, I can only  view consciousness as something other people claim to have: Humans have brains that cause them to claim they possess consciousness.  
:[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 00:08, 29 July 2024 (UTC)
::Thank you for your response! Coincidentally, I created an article today on the Dutch Wikipedia about ''universeel bewustzijn'' ({{w|universal mind}}) and I wrote something about the thoughts of philosopher and computer technologist Bernardo Kastrup. According to him, the relationship between our psyche and the rest of consciousness might resemble that of patients with {{w|dissociative identity disorder}}. If such a dissociative identity disorder could occur on a cosmic level, then people might all be alters of one universal consciousness. Each individual would then have a different perspective on the world and unique physical properties, all stemming from the same underlying consciousness. Is that also what you meant with your thoughts that you just explained to me? Or should I see it (completely) differently? [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 00:18, 29 July 2024 (UTC)
:::I think there might be a connection between dissociative identity disorder and the fact that I cannot define consciousness (or even imagine how a definition could exist.) [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 00:28, 29 July 2024 (UTC)
::::Fascinating! I think that consciousness cannot be defined or explained either—it goes far beyond our human cognitive abilities. I believe that we can only experience consciousness. We only know what it feels like to be one with consciousness when we are actually one with consciousness. But still, I feel a strong urge or need to understand it as a human, haha. That must be my human ego which is determined and prideful. But still, I feel a sigh within me saying: &quot;Man, what are you doing?&quot;
::::And what do you think about other topics such as paranormality and the mystical? [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 00:36, 29 July 2024 (UTC)
:::::My grandparents and great grandparents on my fathers side were into [[w:Table-turning]].  My sister and I tried it as children, but nothing happened. [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 02:19, 29 July 2024 (UTC)
::::::Interesting! Personally, I think I possibly have experiences with reincarnation memories, contact with the deceased, energies from crystals and paranormal occurrences following conversations with psychotic persons. [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 12:54, 29 July 2024 (UTC)
::::By the way, what do you think about the statement ''{{w|Cogito, ergo sum}}''? Kind regards, [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 00:38, 29 July 2024 (UTC)
:::::I read somewhere that it only makes sense if it is a personal reflection.  Recordings of or AI generated sound bytes claiming to 'exist' are clearly unconvincing. [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 09:13, 29 July 2024 (UTC)
::::::That's an interesting question—will AI ever develop self-awareness and consciousness? Personally, I think it could be possible, provided that neuroscience collaborates with computer science and makes revolutionary discoveries, such as connecting AI to a human brain and implanting a brain into a robot. But I am not sure. Kind regards, [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 15:12, 29 July 2024 (UTC)
:: (Butting in) A sketch of a definition: consciousness is that thing that a human loses when he/she falls asleep. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 05:17, 29 July 2024 (UTC)
:::{{ping|Dan Polansky}}That definition is informal, but I like it. [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 09:03, 29 July 2024 (UTC)
::::My definition of consciousness would be: that which is aware of the existence of itself and its environment, in whatever reality or state it may be. [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 07:42, 29 July 2024 (UTC)
:::::So by that definition, would a dreaming person be in a conscious state? [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 23:36, 30 July 2024 (UTC)
::::::I would differentiate the term ''consciousness'' and ''awareness''. I see consciousness as something even deeper than the {{w|soul}} or {{w|Spirit (supernatural entity)|spirit}}, because both entities are also conscious. I think someone who dreams, certainly has a consciousness (even though the person is not aware of the world in which he is sleeping), but it is located elsewhere, perhaps outside the brain. I am convinced that consciousness goes beyond the brain and I would even venture to say that all consciousnesses are connected through a {{w|universal consciousness}}. But maybe it's the wrong term I am using for it—that may cause confusion. I just don't know any other term that is better. [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 23:58, 30 July 2024 (UTC)
:::::::Perhaps ''{{w|mental substance}}'' is a better term? This was used by {{w|René Descartes}}. Kind regards, [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 00:16, 31 July 2024 (UTC)

Peliaq hng

[[User:Boss dragonearin|Boss dragonearin]] ([[User talk:Boss dragonearin|discuss]] • [[Special:Contributions/Boss dragonearin|contribs]]) 19:48, 9 September 2024 (UTC)

== A link ==

Dear Guy vandegrift , I need an advice. 
As page [[Gravitational stress-energy tensor]] the Gravitational stress-energy tensor is constructed with the help of gravitational tensor. So the link to gravitational tensor is necessary. At the moment the link in red color and need in correction.
The page about gravitational tensor is in subspace [[Physics/Essays/Fedosin]] as [[Physics/Essays/Fedosin/Gravitational tensor]].
My question is the next: Is it possible to create the link to gravitational tensor in the form 
[[Physics/Essays/Fedosin/Gravitational tensor | gravitational tensor]] or the other form is necessary such as [[Physics/Essays/Fedosin/Gravitational tensor]] ? [[User:Fedosin|Fedosin]] ([[User talk:Fedosin|discuss]] • [[Special:Contributions/Fedosin|contribs]]) 07:45, 6 January 2025 (UTC)

== Your thoughts on Ninefold Resonance Theory ==

Dear Guy vandegrift, today I developed my new philosophical-metaphysical theory: the [[Ninefold Resonance Theory]]. I had already asked @[[User:Dan Polansky|Dan Polansky]] for feedback, which he gave, and he advised me to also get in touch with you; hence this message! I was curious about your thoughts on this latest theory of mine. If you would like to respond, please do so on [[Talk:Ninefold Resonance Theory|the discussion page]]! I look forward to hearing from you. Kind regards, [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|overleg]] • [[Special:Contributions/S. Perquin|bijdragen]]) 18:27, 28 September 2025 (UTC)

== Please help ==

@[[User:Guy vandegrift|Guy vandegrift]] Hello Guy, sorry to bother you, but i would ask your help. A curator moved and deleted my articles and I asked for help at Colloquium but got no response. If that is out of your territory, i look further. Sorry again, hope to hear from you. Thanks [[User:Harold Foppele|Harold Foppele]] ([[User talk:Harold Foppele|discuss]] • [[Special:Contributions/Harold Foppele|contribs]]) 22:07, 11 October 2025 (UTC)

== Review if possible ==

Hello @[[User:Guy vandegrift|Guy vandegrift]] would/could you be willing to review pages i made on Quantum Mechanics ? Cheers [[User:Harold Foppele|Harold Foppele]] ([[User talk:Harold Foppele|discuss]] • [[Special:Contributions/Harold Foppele|contribs]]) 23:21, 21 November 2025 (UTC)

== Draft:Archive ==

What is the purpose of this project and how it works? [[User:Juandev|Juandev]] ([[User talk:Juandev|discuss]] • [[Special:Contributions/Juandev|contribs]]) 18:42, 23 November 2025 (UTC)

:I created it when I thought somebody was becoming hyperactive when it came to deleting articles.  The problem went away, because I lost interest in protecting peoples unfinished projects, and/or the hyperactive cleanup person(s) slowed down.  Do you want me to delete them? [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 22:03, 24 November 2025 (UTC)

{{cob}}</text>
      <sha1>myunvy59mabinznskxjryiiugv1uur7</sha1>
    </revision>
    <revision>
      <id>2803990</id>
      <parentid>2803954</parentid>
      <timestamp>2026-04-09T19:34:38Z</timestamp>
      <contributor>
        <username>~2026-22095-85</username>
        <id>3064874</id>
      </contributor>
      <comment>/* To whom it may concern */ Reply</comment>
      <origin>2803990</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="53639" sha1="dvgv6mfdwrpscx5wspayil9bx2ne0ao" xml:space="preserve">&lt;div style=&quot;text-align:center; padding: 0.5em; border: solid 3px black; background-color: yellow;&quot;&gt;
'''[http://en.wikiversity.org/w/index.php?title=User_talk:Guy_vandegrift&amp;action=edit&amp;section=new Click here to leave a new message.]'''
&lt;/div&gt;[[File:Unclesamhumor.jpg|right|95px]]
&lt;small&gt;Archives:[[User_talk:Guy_vandegrift/Archive_1|1]] [[User_talk:Guy_vandegrift/Archive_2|2]] [[User_talk:Guy_vandegrift/Archive_3|3]]
[[User_talk:Guy_vandegrift/Archive_4|4]] 
[[User_talk:Guy_vandegrift/Archive_5|5]] 
[[User_talk:Guy_vandegrift/Archive_6|6]] 
[[User_talk:Guy_vandegrift/Archive_7|7]]
[[User_talk:Guy_vandegrift/Archive_8|8]] 
[[User_talk:Guy_vandegrift/Archive_9|9]] 
[[User_talk:Guy_vandegrift/Archive_10|10]]  
[[User_talk:Guy_vandegrift/Archive_11|11]]  
[[User_talk:Guy_vandegrift/Archive_12|12]]  
[[User_talk:Guy_vandegrift/Archive_13|13]]  
[[User_talk:Guy_vandegrift/Archive_14|14]]  
[[User_talk:Guy_vandegrift/Archive_15|15]]  
[[User_talk:Guy_vandegrift/Archive_16|16]]  
[[User_talk:Guy_vandegrift/Archive_17|17]]  
[[User_talk:Guy_vandegrift/Archive_18|18]] 
[[User_talk:Guy_vandegrift/Archive_19|19]] 
&lt;/small&gt;
__TOC__

==To whom it may concern==
I lost my ability to recover my password when my wright.edu email account was closed.  When I retired, I was told that that account would remain open.  But after about 4 years, they suddenly closed it. Due to my inactivity, there is no rush to reset my password.  Furthermore, in a pinch, I could create a new account with a slightly different username.  I will periodically check messages to this page - [[User:Guy_vandegrift|Guy_vandegrift]] ([[User talk:Guy_vandegrift|discuss]] • [[Special:Contributions/Guy_vandegrift|contribs]]) 15:56, 9 April 2026 (UTC)

:This is User:Guy vandegrift again.  Today (9-april-2026) I tried to recover my account and it failed. See also [[User talk:~2026-22095-85]]. [[Special:Contributions/&amp;#126;2026-22095-85|&amp;#126;2026-22095-85]] ([[User talk:&amp;#126;2026-22095-85|talk]]) 19:34, 9 April 2026 (UTC)

{{cot|This content may be cleared b/c it is in Archive 18}}

== moves==

I reverted two of your moves, as these pages are included in a course and why should they be under the name of some user? Best regards, [[User:Bocardodarapti|Bocardodarapti]] ([[User talk:Bocardodarapti|discuss]] • [[Special:Contributions/Bocardodarapti|contribs]]) 09:25, 30 December 2023 (UTC)
:{{ping|Bocardodarapti}} &lt;big&gt;'''My apologies!'''&lt;/big&gt;  I am helping a crew attempting to clean up Wikiversity and it was put up for deletion.  In a twisted sort of way, you could say I &quot;rescued&quot; it by moving it into user space.  But I should have been more attentive and simply removed the deletion template.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 12:22, 30 December 2023 (UTC)
:{{ping|Dan Polansky|MGA73|Omphalographer|Dave Braunschweig|koavf}} This is why Dave and I prefer &lt;code&gt;&lt;nowiki&gt;{{subst:prod}}&lt;/nowiki&gt;&lt;/code&gt; to &lt;code&gt;&lt;nowiki&gt;{{delete}}&lt;/nowiki&gt;&lt;/code&gt;, and why I like to move pages to userspace.  Moving the page to userspace meant Bocardodarapti could instantly revert my mistake. Our most valuable &quot;customers&quot; are teachers who bring students to Wikiversity, and I hope some of these students become editors.  It's almost impossible to distinguish a newbie student from a crackpot editor.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 12:58, 30 December 2023 (UTC)
:: I generally support (do not oppose) moving pages to user space rather than deleting them, although for some low-grade material that is rather too kind. But I do not oppose acts of kindness as long as the impact is only on user space. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 13:04, 30 December 2023 (UTC)
:: About the specific page, [[Pi/Real cosine function/Definition]] has no business in the mainspace: it cannot be more useless. I support speedy deletion or moving it to user space. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 13:05, 30 December 2023 (UTC)
::: &lt;small&gt;For the record, I was wrong about [[Pi/Real cosine function/Definition]], as per [[Wikiversity:Colloquium#A discussion has been started on a large collection of orphaned_subpages]]. The page is a rather small module transcluded elsewhere, e.g. from [[Mathematics for Applied Sciences (Osnabrück 2023-2024)/Part I/Lecture 16]]. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 07:02, 31 December 2023 (UTC)&lt;/small&gt;


== Files Missing Information ==
Thanks for uploading files to Wikiversity. All files must have source and license information to stay at Wikiversity. The following files are missing {{tlx|Information}} and/or [[Wikiversity:License tags]], and will be deleted if the missing information is not added. See [[Wikiversity:Uploading files]] for more information.
{{colbegin|3}}
* [[:File:Piano Prelude in C by Johann Sebastian Bach.pdf]]
{{colend}}
[[User:MaintenanceBot|MaintenanceBot]] ([[User talk:MaintenanceBot|discuss]] • [[Special:Contributions/MaintenanceBot|contribs]]) 18:20, 1 January 2024 (UTC)

== Files on Commons ==
{{Robelbox|theme=2|title=[[:Category:Files from USGS]] &amp; [[:Category:Files from Flickr]]}}&lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
Hi! Perhaps you could have a look at the files in [[:Category:NowCommons]]? I think many of the files in [[:Category:Files from USGS]] can be moved to Commons (if not allready there). It would be easier if the files allready there are deleted. --[[User:MGA73|MGA73]] ([[User talk:MGA73|discuss]] • [[Special:Contributions/MGA73|contribs]]) 21:18, 6 January 2024 (UTC)
:{{ping|MGA73}} While I contribute a lot to Commons, it's all my work. For that reason I know almost nothing about image copyright policy or fair use. Do you want me to delete image files on Wikiversity? I can do that if they are not currently being used. 

:I did remove [[:File:Uganda field trials2 lo.jpg]] after verifying that it is the same on commons and not being used on Wikiversity--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 21:59, 6 January 2024 (UTC)

:: Hi! If the file in on Commons you can delete the local file. Unless you think that it is a mistake that the file is on Commons. If the file have a different name on Commons then the pages where the local file is edited should be changed so they use the version on Commons first. --[[User:MGA73|MGA73]] ([[User talk:MGA73|discuss]] • [[Special:Contributions/MGA73|contribs]]) 11:53, 7 January 2024 (UTC)

::: There are also some files in [[:Category:Files from Flickr]] that I'm trying to get moved to Commons. --[[User:MGA73|MGA73]] ([[User talk:MGA73|discuss]] • [[Special:Contributions/MGA73|contribs]]) 12:36, 7 January 2024 (UTC)

::::Due to my lack of experience and knowledge regarding the hosting of images by Wikiversity, I will refer this matter to [[Wikiversity:Request custodian action]].--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 23:06, 7 January 2024 (UTC)

&lt;/div&gt;
{{Robelbox-close}}

==Thanks==
Hey Guy, thanks for salvaging some of my work some time ago. A while ago I found WV too tension-ridden to practically develop a course. I am planning to try again.[[User:Leutha|Leutha]] ([[User talk:Leutha|discuss]] • [[Special:Contributions/Leutha|contribs]]) 16:18, 16 February 2024 (UTC)
:{{ping|Leutha}} You are welcome.  I am still trying to salvage the work of people who take wikibreaks. See [[Wikiversity:Colloquium#How_to_handle_very-low-value_pages_AKA_deletion_and_move_to_userspace_convention]]-[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 16:30, 16 February 2024 (UTC)

==Thank you for all the work==
Let me thank you for all the work you are doing here to help cleanup Wikiversity, striking a balance between kindness and cleanup. In so far as other admins do not seem to do as much, it is unique service. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 15:46, 22 February 2024 (UTC)

== Offensive username ==

Dear custodian,


Your words :

&lt;nowiki&gt;*&lt;/nowiki&gt;&lt;nowiki&gt;''&lt;/nowiki&gt;See also &lt;nowiki&gt;[[w:Bona dea]]&lt;/nowiki&gt;&lt;nowiki&gt;''&lt;/nowiki&gt;

&lt;nowiki&gt;{{cot|Not a request to delete, but&lt;/nowiki&gt;&lt;ins&gt; to space-consuming effort&lt;/ins&gt;&lt;nowiki&gt; to change the username &quot;Bonadea&quot;}}&lt;/nowiki&gt;

Username policy :


&quot;Names of religious figures such as &quot;God&quot;, &quot;Jehovah&quot;, &quot;Buddha&quot;,  &quot;Allah&quot;, or &quot;Bonadea&quot; which may offend other people's beliefs&quot;

Please send a post to user [[user:bonadea]] talk page ,advise him change username.

== Dear Prof. Guy Vandegrift ==

I am grateful for your great work in Wikiversity, a fantastic tool for development of science. Unfortunately I am blocked in &quot;Remission of prediabetes&quot; what can i do? Thank you very much!
&quot;Saltrabook&quot; 
Dr. Olaf Jensen, prof. emer. University of Southern Denmark ocj@health.sdu.dk [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 14:51, 1 March 2024 (UTC) 

:I think you are just blocked from creating pages. You create pages at such a high rate you must by copying and translating, which is a copyright violation.  Also, this many page creations is  disruptive to Wikiversity.  Don't worry, we will work this through together.  My understanding is that you want to create the page [[Remission of prediabetes]], right?--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 14:54, 1 March 2024 (UTC)
::My understanding is that you want to create the page Remission of prediabetes, right?--Guy vandegrift (discuss • contribs) 14:54, 1 March 2024 (UTC). Yes, &quot;Remission of prediabetes&quot; is a precise main page name, I am sorry, I have to learn when can i start? [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 16:19, 2 March 2024 (UTC)
:::Our concern is that you are creating a large number of pages, and they disrupt our wiki.  Are you copying these pages or using a translation software program to create them?--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 16:22, 2 March 2024 (UTC)

== MATLAB/Octave ==
Do you think it would be a good idea to restore [[MATLAB/Octave]] (deleted in 2021) and move it to [[Draft:Archive/2024/MATLAB/Octave]]? I could then have a glance at it and see whether anything could be salvaged for [[GNU Octave]] page. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 09:22, 3 March 2024 (UTC)
:{{ping|Polansky}} I undeleted it.  It was I who deleted with comment to the effect that there are too many errors for me to fix.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 14:23, 3 March 2024 (UTC)
:: Thank you. I did not realize you were the author of the &quot;[[MATLAB/Octave]]&quot; page. There does not seem to be any material usable for [[GNU Octave]]: the bulk of the page is about installing Octave, then there is a short guide to Unix/Linux commands (help, cd, dir, mkdir, rmdir), etc. But almost nothing on Octave per se.
:: Should I moved it to [[Draft:Archive/2024]] or do you want to have it deleted again? (I am fine with both.) --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 14:42, 3 March 2024 (UTC)
:::I know I deleted it, but don't remember why.  I will go ahead and re-delete.  Thanks for looking into that. Also, I have an important question: '''How did you know that the page even existed if it was deleted?''' --[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 15:22, 3 March 2024 (UTC)
:::: The [[MATLAB/Octave]] page was a redlink in [[MATLAB]] before I edited [[MATLAB]] to remove the redlink. It is still a redlink (currently blue) in [[Physics equations/07-Work and Energy/Q:cart1/history]]. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 15:33, 3 March 2024 (UTC)
:::::Thanks.  I should have thought of that as the most likely explanation.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 15:38, 3 March 2024 (UTC)
::::::correct, Danish mother language, med dr. specialist dr. in occupational medicine and 32 years in maritime pub.health occupational medical research in the University Southern Denmark, latest 18 year mainly living in Panama working with Spanish speaking people. I started the Occupational Medical Wikibook, now finished, 10 years ago to fill out the lack of occupational medicine textbook in Panama. Would be grateful if I could have access to the blocked pages on &quot;Prediabetes remission&quot; then i would locate them all in the new space, have no personal things to hide, my name is not to hide. Thank you for all your help [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 21:46, 6 March 2024 (UTC)

== [[special:redirect/logid/3389938]] ==

Please check if you moved to the right namespace. Did you mean to move into userspace? [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 02:58, 5 March 2024 (UTC)
::Yes, of course.  Thanks for catching that. P.S. I like the economy of your link &lt;code&gt;&lt;nowiki&gt;[[special:redirect/logid/3389938]]&lt;/nowiki&gt;&lt;/code&gt;. Where can I find a list of such tricks? (I would have had to use an external link)--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 03:02, 5 March 2024 (UTC)
::: I think [[:w:Help:Special_page#Available_special_pages]] can help you. [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 03:14, 5 March 2024 (UTC)

==Request from Saltrabook to move large project into draftspace==
Hello Guy, please establish one main page as you offered, &quot;Prediabetes diagnostics and remission&quot;, and move my blocked pages to that one, thank you very much--[[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 16:49, 9 March 2024 (UTC)
:It's not really my decision. Wikiversity is a quasi-democracy and we need the consent of something we call &quot;the community&quot;. I will set up your user page so that you can use the pages you already created.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 17:52, 9 March 2024 (UTC)
::Thank you very much, perfect [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 18:04, 10 March 2024 (UTC)

:See '''[[user:Saltrabook]]''' for your current project. I has several nearly blank pages for you to work on.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 17:09, 9 March 2024 (UTC)
::Please delete these or ask for deletion, of all nearly empty page, sorry for these problems, thank you very much [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 17:35, 10 March 2024 (UTC)
:::I thought you might like those pages for your work.  It is better to write a few long pages than lots of little ones.  If it's OK with you, I would like to keep those pages where they are.  You might change your mind and write something on them.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 02:59, 11 March 2024 (UTC)

{{ping|Saltrabook}} Here is a list of pages where you can continue to work.  When a page is complete, let me know and I will rename it.  
{{colbegin}}
#[[User:Saltrabook/empty page-1]]
#[[User:Saltrabook/empty page-2]]
#[[User:Saltrabook/empty-page 3]]
#[[User:Saltrabook/empty-page 4]]
#[[User:Saltrabook/empty-page 5]]
#[[User:Saltrabook/sandbox]]
{{colend}}
Please try and write large pages.  Too many pages on this topic is disruptive to our wiki.19:25, 14 March 2024 (UTC)

== Reconstruction of the delete pages ==

sorry, i dont think I can reconstruct these pages except for one, the manuscript under submission to publication, Prediabetes remission to normoglycemic status. [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 13:30, 16 March 2024 (UTC)
:Where was it submitted? It would help if I knew why you can't reconstruct it: Did you discard your own copy of the draft when you submitted it? Or, do the journal's rules prohibit you from posting a submitted article due to copyright law?--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 13:40, 16 March 2024 (UTC)

== Original writings, ==

I am the author, I dont use translating software and no copy of previous published material. Sometimes i cite my own writings in the published scientific articles, but very little. Now going through the list of pages and add {{tl|db-author}} at the top - i have to be better to clean up - thank you [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 19:34, 18 March 2024 (UTC)
:{{ping|Saltrabook}} DO NOT ADD {{tl|db-author}} TO YOUR PAGES!!!!! They are deletion requests.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 20:54, 18 March 2024 (UTC)

== [[Draft:Archive/2024/Institut Teknologi PLN]] ==

With respect to [[Wikiversity:Request_custodian_action/Archive/25#University_advertisements_on_Wikiversity]], PROD should have been processed rather than archiving the page. [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 05:29, 19 March 2024 (UTC)
:{{ping|MathXplore}} Two questions:
::#Do you want me to put it back into mainspace with the same prod? (If so, I will)
::#(to be continued after I checkout what happened)--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 05:41, 19 March 2024 (UTC)
:: I think non-English content should not be moved to the mainspace, so it should remain in the current position with the prod. [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 05:44, 19 March 2024 (UTC)
:::I will move it back, but according to [https://en.wikiversity.org/w/index.php?title=Draft:Archive/2024/Institut_Teknologi_PLN&amp;oldid=2572456 2572456]], the expiration for deletion was today. Following previous practice, I thought that allowed a deletion.  Do you want to change things; or am I wrong about previous practice?--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 05:49, 19 March 2024 (UTC)
:::: Please feel free to delete the page, I don't think anyone else is working on the translation. [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 05:56, 19 March 2024 (UTC)
:::Also, I am confused about your terminology. It's in draftspace, not mainspace.  Perhaps you meant to say that the prod should not have been dewikified.  Are you saying that you want the prod to remain while it is in draft-archive space? I can do that.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 05:52, 19 March 2024 (UTC)
:::: I apologize if my words have caused any confusion. Yes, I just wanted to say that the prod should not be dewikified. [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 05:57, 19 March 2024 (UTC)
:::::Keep in mind that the entire [[Draft:Archive]] &quot;resource&quot; is just an experiment. The question of whether prods should be deleted was never sorted out in my mind.  Keeping the prods in place makes for a cleaner Draft:Archive-space.  But it also adds work for us.  I thinking somebody might make a bot to dewikify all links and all templates. That would make Draft:Archive-space sterile.  We could even have a bot that blanked all pages that are over 2 years old. ... The idea is that draft-archive-space would be essentially equivalent to outright deletion, except that all users could veiw and effectively &quot;undelete&quot;.  Such a policy makes no sense on Wikipedia, where the goal is to create a useful encyclopedia.  But Wikiversity's mission is to allow people to learn.  And most of us learn by making mistakes.  That means our mistakes should never truly be deleted (just hidden from view.) ... P.S. Don't worry, I have a lot of strange ideas.  But I don't fight for them. Henceforth prods will remain active for pages in draft-archive space.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 06:10, 19 March 2024 (UTC)
::::::I will delete [[Draft:Archive/2024/Institut Teknologi PLN]].  The page is not important. It's the policy that is important.  The &quot;mistake&quot; of not writing in English is not worth preserving for the benefit of authors who want to re-examine how they approach the art of writing.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 06:15, 19 March 2024 (UTC)

== CFC talkback ==

{{talkback|Wikiversity:Candidates_for_Custodianship/MathXplore#Questions_for_the_candidate}} [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 03:06, 20 March 2024 (UTC)

== [[Surreal numbers]] ==
Greetings. I am not clear why you are removing the page from RFD before the RFD run its course. Surely whether the page should be moved out of mainspace should depend on what kind of consensus emerges from the RFD? And before the RFD is closed, the page should remain tagged with {{tlx|rfd}}? --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 11:01, 26 March 2024 (UTC)
:Are you talking about the pages that I archived and mentioned at [[Wikiversity:Requests_for_Deletion#List_of_unresolved_deletion_requests]]? --[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 11:08, 26 March 2024 (UTC)
:: No, I am talking about removal of {{tlx|rfd}} that took place in [[Special:Diff/2615731/2615793]], which took place despite the RFD not yet being closed/resolved (my message was a bit confusing: the page was not fully removed from RFD but only as for removal of the template). --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 11:15, 26 March 2024 (UTC)
:::With only a single author, the choices are keep, subpagify, or delete.  The pages will likely become mathematics subpages and I will bring the matter up on appropriate mathematics talk pages. But both pages are sufficiently related to physics that they can go into [[Physics/Essays]].  I don't need permission from the community to put a page under [[Physics]] because that is my specialty. I changed the rfd template because there is no reason for rfd to be involved.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 11:43, 26 March 2024 (UTC)
:::: Does it mean that you can single-handedly close a RFD nomination as &quot;rejected&quot; without waiting for the result of the discussion? I did not nominate the page for RFD only to have it kept in mainspace. And if there is a disagreement about what should happen to the page--as seems to be the case--that is all the more reason to run the RFD process. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 11:51, 26 March 2024 (UTC)
:::::It means exactly that your RFD nomination was &quot;rejected&quot; without waiting for the result of the discussion. I also reverted your rfd on [[Rational numbers/Introduction]]. The author in question also created the top page, and Bureaucrat [[User:Dave Braunschweig|Dave Braunschweig]] apparently consented. The community can revert Dave's decision. But you cannot.[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 12:47, 26 March 2024 (UTC)

== Prediabetes Remission ==

Guy, please, can you help to create a new main page entitled &quot;Prediabetes Remission&quot; without &quot;maritime&quot; , for use with other transport sectors, e.g. truckers, taxi drivers etc. jobs with biannual medical health examination, to identify those with an A1C level of 39-47 mmol/L (5.7%-6.4%) (prediabetes) who are not (yet) taking medication for diabetes,
thank you [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 19:53, 29 March 2024 (UTC)

Here it is [[User:Saltrabook/Prediabetes Remission]]

It can be moved to [[Prediabetes Remission]] but that requires going though a committee.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 21:02, 29 March 2024 (UTC)

== [[Differential equations/Ordinary Differential Equations]] ==
I will not send this page to RFD to reduce conflict, by to my mind, this page is clearly junk. One should be able to understand what this page is about without reading its parent page. The page is all too typical of Wikiversity: no sources, no definitions, a haphazard/incoherent collection of sentences and this junk is supposed to be &quot;learning material&quot;. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 14:31, 31 March 2024 (UTC)
:[[Special:Diff/2617022/2617520|''This edit'']] makes no sense to me.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 16:21, 31 March 2024 (UTC)

== Possible deletion overload ==
If I am overloading you by deletion nominations, one remedy could be that I would take longer breaks in making them. Thus, there would be longer sequences of days during which I make no nominations, especially do not hit &quot;Random&quot; button to find more junk. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 15:04, 31 March 2024 (UTC)
:Why don't you create a page somewhere and simply list the pages you think we should delete?  We no idea when WV is going to formulate an updated deletion policy. And, if another custodian wishes to moderate the deletions, I will be happy to step aside. Then you can bring up your list.  Place the list wherever you wish, but I suggest [[WV:WGW2024#Personal_subpages_(with_visual_editing)]]--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 15:24, 31 March 2024 (UTC)
:: I am confused about your statements about need to update ''policy''. Since, I am proceeding in accordance with the current guidelines (some do not have &quot;policy&quot; status) that I can find, including [[WV:Deletions]], [[WV:Verifiability]] and [[WV:What is Wikiversity?]]. You make it sound as if we need to wait for some kind of policy update, and I am not clear what you mean. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 15:31, 31 March 2024 (UTC)
:::I don't have a good answer to your question. [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 15:35, 31 March 2024 (UTC)
::Hey, I just had a better idea: I will create the &quot;personal subpage&quot; with a name like &quot;Proposed deletions&quot;.  Then all deletion requests based on low quality can go there, temporarily. That resolution will allow me to remove the stuff posted at [[Wikiversity:Request custodian action]] [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 15:32, 31 March 2024 (UTC)
::: I think I am better served by stepping back from deletions for a week or two rather than starting to do something nonstandard. I am puzzled why the things standard in the English Wiktionary and the English Wikipedia are supposed not to work in the English Wikiversity. It is as if there were some kind of RFD-phobia, something unseen in the English Wiktionary. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 15:34, 31 March 2024 (UTC)
::::I think the problem is that Wikiversity has never had a clear mission.  It's name sounds like the mission of a conventional University, but universities do everything: Childhood education, football games, poetry, art, student essays, student newspapers, you-name-it.  The original plan was to host teaching materials for people to share.  And, &quot;reasearch&quot; is hard to define.  Maybe [[Student Projects]] is a research project into how students write.  My &quot;call-for-essays&quot; on a page you tried to delete certainly was research into how we can get more students involved with Wikiversity.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 15:41, 31 March 2024 (UTC)
::::: Does the above really match [[WV:Deletions]], [[WV:Verifiability]] and [[WV:What is Wikiversity?]] ? --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 15:51, 31 March 2024 (UTC)
::::::I don't have time to read those pages now.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 16:29, 31 March 2024 (UTC)

== Regarding Genetics/Human Leukocyte Antigen/Linkage Disequilibrium/DR-DQ Blocks ==

Dear Mr. Guy Vandegrift,

According to the log file for the page [[Genetics/Human Leukocyte Antigen/Linkage Disequilibrium/DR-DQ Blocks|Genetics/Human Leukocyte Antigen/Linkage Disequilibrium/DR-DQ Blocks - Wikiversity]], you deleted it [https://en.wikiversity.org/w/index.php?title=Special:Log&amp;logid=3335327 21 December 2022]. I work in a lab which performs blood tests for celiac disease and we used this page periodically in our assessments of genetic risk for celiac disease, in order to see repported haplotypes. Could you please reactivate the page, if possible, or provide us a copy of it? Thank you in advance!

Best regards,

Nicolae Miron MD [[User:Nicolae.Miron|Nicolae.Miron]] ([[User talk:Nicolae.Miron|discuss]] • [[Special:Contributions/Nicolae.Miron|contribs]]) 11:16, 2 April 2024 (UTC)

==change main page name==
Im sorry, i dont understand, why i cannot change the main page. We need to change the main page name to &quot;Pre-diabetes Remission-Net&quot; as we expand our activites to include other than the maritime area to be stronger in research and intervention practice with other researchers and occupational health practicers e.g. the Truck-drivers [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 16:59, 2 April 2024 (UTC)

:{{ping|Saltrabook}} Is this what you want?
:* [[User:Saltrabook/Pre-diabetes Remission-Net]]
:[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 19:04, 2 April 2024 (UTC)
:Yes, please, this is what i want, then the original title with &quot;Maritime Health Research and Education&quot; will be a subtitle.  Thank you very much [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 22:00, 2 April 2024 (UTC)
::Let me know if you need anything else. [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 22:12, 2 April 2024 (UTC)

==[[Number Theory/Surreal numbers]]==
&quot;Surreal numbers&quot; are misplaced since &quot;number theory&quot;, despite its name, does not concern itself with any and all numbers but rather with ''positive integers''. The move of [[Surreal numbers]] is therefore not only unnecessary/unhelpful but also incorrect. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 06:23, 3 April 2024 (UTC)
:I see your point.  I will move it back to [[Surreal numbers]] ... Actually, the topic more resembles set theory, or perhaps an alternative view of numerical analysis.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 11:20, 3 April 2024 (UTC)
:: (A non-actionable aside) At the university where I studied, if this was covered at all, it would have probably been covered in set theory classes since set-theoretic construction of rational numbers was covered there. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 12:24, 3 April 2024 (UTC)

More on [[Surreal numbers]]: I think using chatbots to write articles to &quot;save&quot; them is a poor plan. Mistakes are likely to be countless. Here is one: &quot;Real numbers is defined to include positive and negative rational numbers (p/q where p and q are integers), as well as irrational numbers (π and 21/2), but with a twist: Also included are not one, but an infinite number of infinities, along with a similar collection of &quot;zeros&quot;, often called ε (in the limit that ε→0.)&quot; Well, you mean &quot;Real numbers&quot; --&gt; &quot;Surreal numbers&quot;, right? --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 12:55, 3 April 2024 (UTC)

:That wasn't the chatbot. That was my writing, and I agree that it is garbled.  Chatbots don't make mistakes like this. If you want to see the chatbot's words, visit [[Chatbot math/Gemini/24.03/Surreal numbers]]. [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 13:34, 3 April 2024 (UTC)
:: Ah, that makes sense. Incidentally, is [[Chatbot math/Gemini/24.03/Surreal numbers]] a correct location or does it belong to Gemini? --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 14:07, 3 April 2024 (UTC)
:::Thanks. I moved it to Gemini... Also, the problem with Chatbots on Wikiversity isn't low quality, but the ability to create too much prose and too many pages.  A student who writes on bad essay that goes into a collection of bad essays does not much hurt WV.  It's the students who creates hundreds of pages, uploads thousands of files, or creates megabytes of text that overwhelms the system.  A student who writes one short essay has a non-zero probability of coming back to it and learn.  The student who writes reams of prose will never re-read it and never learn from the experience.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 14:51, 3 April 2024 (UTC)

== Prediabetes Remission-Net ==

Please create a new page, Prediabetes Remission-Net and dono replace &quot;Maritime Research and Education-Net (Mahre-Net) stay untuched. thank you very much [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 17:59, 3 April 2024 (UTC)

Here is your new page:
*[[User:Saltrabook/Prediabetes Remission-Net]] 
:--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 20:55, 3 April 2024 (UTC)

== Bureaucratship ==

Per [[Wikiversity:Candidates for Custodianship#Nominations for Bureaucratship]], you are now a bureaucrat. Congratulations! -- [[User:Dave Braunschweig|Dave Braunschweig]] ([[User talk:Dave Braunschweig|discuss]] • [[Special:Contributions/Dave Braunschweig|contribs]]) 02:00, 8 June 2024 (UTC)

Congratulations! Please feel free to reach out to me if you'd like any advice. --[[User:Mu301|mikeu]] &lt;sup&gt;[[User talk:Mu301|talk]]&lt;/sup&gt; 14:01, 11 June 2024 (UTC)

== I think we should keep our eyes on [[User:Username142857]] ==

Thank you for choosing to join the bureaucrat team. I was recently sending messages to [[User talk:Username142857]] and I noticed that you have already communicated with them in the past. I want you to note that [[User:Username142857]] has more issues apart from page creation. I have already explained to them, but if you have anything else to add, that may be helpful for [[User:Username142857]]. Thank you for your contributions. [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 03:27, 9 June 2024 (UTC)

:I just now examined enough of your interactions with them to agree with you.  The problem of too many questions might be solved by a topic ban on Wikiversity discussions. On the creation of marginal pages, we have a [[wikt:plethora|plethora]] of options.  And this user is only a microscopically small fraction of that problem. [[User:Guy vandegrift/2024/User monitoring|I will monitor this user's contributions]] and will let you know if I have any ideas. [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 04:43, 9 June 2024 (UTC)

== Plausible yet untrue ==
I propose to remove the following statement from mainspace:

: &quot;If a mathematical statement is both plausible and useful, I honestly don't care if it is true.&quot;

It is a dangerous statement, expressing a dangerously cavalier attitude toward mathematical truth. I personally got burned by reaching a mistaken conclusion about a particular mathematical hypothesis by abandoning the mathematical rigor; although my attitude was not that truth does not matter but rather that in that case the less than rigorous argument was sufficient to establish the truth, which it was not. That is not to say that intuitive arguments and plausibility checks never have value, but rather that in case of doubt, at least checking a reliable source is the minimum one should do, even if one does not try to follow the proof.

Using the above attitude, one may naively peruse e.g. Google's Gemini, make it output &quot;useful&quot; somewhat plausible statements, and end up in error real fast. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 04:48, 13 June 2024 (UTC)

:A good example is the [[w:Dirac delta function|dirac delta function]], which is not a function and cannot be graphed. Yet, by sketching a graph you can &quot;prove&quot; that &lt;math display=&quot;inline&quot;&gt;\int_{-\infty}^{\infty} \delta'(x)dx =-f'(0).&lt;/math&gt; It is entirely plausible that this result was known before a proper definition of this [[w:Distribution (mathematics)|distribution]] was established. A better example is probably renormalization theory. I am pretty sure it was being used in physics before it was fully understood. To your point, however, '''&quot;I honestly don't care...&quot;'''should probably be replaced by '''&quot;I usually don't care...&quot;'''.  Also, I purposely placed that sentence at the top as a warning to the reader not to make the mistake you alluded to.

:It's an educational resource -- sort of &quot;research for students&quot;.  When it is finished, I plan to introduce the term '''''&lt;big&gt;Conjecture?:&lt;/big&gt;'''''''' in place of ''postulates'', ''theorems'', and ''corollaries''.  Each &quot;Conjecture?&quot; would contain a link to a page where students could discuss its veracity.  After drifting between research jobs, I finally landed a teaching position where I could apply for a grant to build a plasma device with students.  That induced me to look back on research that was done many years ago on the same subject.  I was shocked that in retrospect, almost most publications back then were highly flawed.  Maybe computer science is more precise, because it is usually obvious when computer code doesn't work.  But with attempts to predict the behavior of a magnetically confined plasma, most predictions are wrong. 

:One more thing: Cable news in the US is plagued by commentators pretending to be newscasters making claims like &quot;''People are saying that this person is ...''&quot; This is a serious problem that threatens our democracy.  But surreal number theory has often be called &quot;recreational math&quot;. It's supposed to be fun.

It's nice to hear from you!--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 14:42, 13 June 2024 (UTC)

== Ideas about consciousness after death and other topics ==
Dear Guy vandegrift, I read your arguments on the topic ''[[Will we lose our consciousness after we die?]]''. Your arguments sound very interesting, but as a layperson (I don't actually understand anything about physics), I don't actually understand any of it, let alone how it relates to the continuation of consciousness after death. But I really want to understand it. I read on your user page that you are a retired physics professor. Could you explain in simple terms what your arguments are for the continuation of the consciousness after death?

Additionally, I am also curious about your opinion on my philosophical ideas–about how reality might function–which I have described on [[Wikiphilosophers]]. What do you think about topics such as free will, the meaning of life, past lives, paranormal phenomena and extraterrestrial life? I look forward to hearing from you! Kind regards, [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 23:59, 28 July 2024 (UTC)

:Several thoughts:
:#We need to distinguish between &quot;perception&quot; and &quot;reality&quot; the person in the parallel universe will think he is me.  If perception is reality, then he is me.  But of course, he is not me.
:#Regarding the physics, the &quot;Hubble volume&quot; is roughly the same everything we can see using the most powerful telescopes.  I can't guarantee that this is explained in [[Wikipedia:Hubble volume]] (which is why we need Wikiversity.)  
:#I took two philosophy courses (one in high school and the other in college) and found it a fascinating subject.  Afterwards, I read a book on a 18th or 19th century philosopher (whose name I forgot).  I was impressed by the ideas put forth by this philosopher, but cannot remember a single thing from that book (I read it about 50 years ago.)
:#My background in physics gave me a perspective about reality that I believe is shared by many if not most physicists:  Reality can not be understood; it can only be predicted.  The predictions involve mathematics, and every known mathematical model is incomplete or flawed in some way.  For that reason, I can only  view consciousness as something other people claim to have: Humans have brains that cause them to claim they possess consciousness.  
:[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 00:08, 29 July 2024 (UTC)
::Thank you for your response! Coincidentally, I created an article today on the Dutch Wikipedia about ''universeel bewustzijn'' ({{w|universal mind}}) and I wrote something about the thoughts of philosopher and computer technologist Bernardo Kastrup. According to him, the relationship between our psyche and the rest of consciousness might resemble that of patients with {{w|dissociative identity disorder}}. If such a dissociative identity disorder could occur on a cosmic level, then people might all be alters of one universal consciousness. Each individual would then have a different perspective on the world and unique physical properties, all stemming from the same underlying consciousness. Is that also what you meant with your thoughts that you just explained to me? Or should I see it (completely) differently? [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 00:18, 29 July 2024 (UTC)
:::I think there might be a connection between dissociative identity disorder and the fact that I cannot define consciousness (or even imagine how a definition could exist.) [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 00:28, 29 July 2024 (UTC)
::::Fascinating! I think that consciousness cannot be defined or explained either—it goes far beyond our human cognitive abilities. I believe that we can only experience consciousness. We only know what it feels like to be one with consciousness when we are actually one with consciousness. But still, I feel a strong urge or need to understand it as a human, haha. That must be my human ego which is determined and prideful. But still, I feel a sigh within me saying: &quot;Man, what are you doing?&quot;
::::And what do you think about other topics such as paranormality and the mystical? [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 00:36, 29 July 2024 (UTC)
:::::My grandparents and great grandparents on my fathers side were into [[w:Table-turning]].  My sister and I tried it as children, but nothing happened. [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 02:19, 29 July 2024 (UTC)
::::::Interesting! Personally, I think I possibly have experiences with reincarnation memories, contact with the deceased, energies from crystals and paranormal occurrences following conversations with psychotic persons. [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 12:54, 29 July 2024 (UTC)
::::By the way, what do you think about the statement ''{{w|Cogito, ergo sum}}''? Kind regards, [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 00:38, 29 July 2024 (UTC)
:::::I read somewhere that it only makes sense if it is a personal reflection.  Recordings of or AI generated sound bytes claiming to 'exist' are clearly unconvincing. [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 09:13, 29 July 2024 (UTC)
::::::That's an interesting question—will AI ever develop self-awareness and consciousness? Personally, I think it could be possible, provided that neuroscience collaborates with computer science and makes revolutionary discoveries, such as connecting AI to a human brain and implanting a brain into a robot. But I am not sure. Kind regards, [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 15:12, 29 July 2024 (UTC)
:: (Butting in) A sketch of a definition: consciousness is that thing that a human loses when he/she falls asleep. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 05:17, 29 July 2024 (UTC)
:::{{ping|Dan Polansky}}That definition is informal, but I like it. [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 09:03, 29 July 2024 (UTC)
::::My definition of consciousness would be: that which is aware of the existence of itself and its environment, in whatever reality or state it may be. [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 07:42, 29 July 2024 (UTC)
:::::So by that definition, would a dreaming person be in a conscious state? [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 23:36, 30 July 2024 (UTC)
::::::I would differentiate the term ''consciousness'' and ''awareness''. I see consciousness as something even deeper than the {{w|soul}} or {{w|Spirit (supernatural entity)|spirit}}, because both entities are also conscious. I think someone who dreams, certainly has a consciousness (even though the person is not aware of the world in which he is sleeping), but it is located elsewhere, perhaps outside the brain. I am convinced that consciousness goes beyond the brain and I would even venture to say that all consciousnesses are connected through a {{w|universal consciousness}}. But maybe it's the wrong term I am using for it—that may cause confusion. I just don't know any other term that is better. [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 23:58, 30 July 2024 (UTC)
:::::::Perhaps ''{{w|mental substance}}'' is a better term? This was used by {{w|René Descartes}}. Kind regards, [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 00:16, 31 July 2024 (UTC)

Peliaq hng

[[User:Boss dragonearin|Boss dragonearin]] ([[User talk:Boss dragonearin|discuss]] • [[Special:Contributions/Boss dragonearin|contribs]]) 19:48, 9 September 2024 (UTC)

== A link ==

Dear Guy vandegrift , I need an advice. 
As page [[Gravitational stress-energy tensor]] the Gravitational stress-energy tensor is constructed with the help of gravitational tensor. So the link to gravitational tensor is necessary. At the moment the link in red color and need in correction.
The page about gravitational tensor is in subspace [[Physics/Essays/Fedosin]] as [[Physics/Essays/Fedosin/Gravitational tensor]].
My question is the next: Is it possible to create the link to gravitational tensor in the form 
[[Physics/Essays/Fedosin/Gravitational tensor | gravitational tensor]] or the other form is necessary such as [[Physics/Essays/Fedosin/Gravitational tensor]] ? [[User:Fedosin|Fedosin]] ([[User talk:Fedosin|discuss]] • [[Special:Contributions/Fedosin|contribs]]) 07:45, 6 January 2025 (UTC)

== Your thoughts on Ninefold Resonance Theory ==

Dear Guy vandegrift, today I developed my new philosophical-metaphysical theory: the [[Ninefold Resonance Theory]]. I had already asked @[[User:Dan Polansky|Dan Polansky]] for feedback, which he gave, and he advised me to also get in touch with you; hence this message! I was curious about your thoughts on this latest theory of mine. If you would like to respond, please do so on [[Talk:Ninefold Resonance Theory|the discussion page]]! I look forward to hearing from you. Kind regards, [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|overleg]] • [[Special:Contributions/S. Perquin|bijdragen]]) 18:27, 28 September 2025 (UTC)

== Please help ==

@[[User:Guy vandegrift|Guy vandegrift]] Hello Guy, sorry to bother you, but i would ask your help. A curator moved and deleted my articles and I asked for help at Colloquium but got no response. If that is out of your territory, i look further. Sorry again, hope to hear from you. Thanks [[User:Harold Foppele|Harold Foppele]] ([[User talk:Harold Foppele|discuss]] • [[Special:Contributions/Harold Foppele|contribs]]) 22:07, 11 October 2025 (UTC)

== Review if possible ==

Hello @[[User:Guy vandegrift|Guy vandegrift]] would/could you be willing to review pages i made on Quantum Mechanics ? Cheers [[User:Harold Foppele|Harold Foppele]] ([[User talk:Harold Foppele|discuss]] • [[Special:Contributions/Harold Foppele|contribs]]) 23:21, 21 November 2025 (UTC)

== Draft:Archive ==

What is the purpose of this project and how it works? [[User:Juandev|Juandev]] ([[User talk:Juandev|discuss]] • [[Special:Contributions/Juandev|contribs]]) 18:42, 23 November 2025 (UTC)

:I created it when I thought somebody was becoming hyperactive when it came to deleting articles.  The problem went away, because I lost interest in protecting peoples unfinished projects, and/or the hyperactive cleanup person(s) slowed down.  Do you want me to delete them? [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 22:03, 24 November 2025 (UTC)

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      <comment>I am [[user:Guy_vandegrift]], but have been locked out.  My effort to reset a new password failed.  To verify that this edit is correct, visit https://www.osti.gov/biblio/6822699</comment>
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'''[http://en.wikiversity.org/w/index.php?title=User_talk:Guy_vandegrift&amp;action=edit&amp;section=new Click here to leave a message for Guy vandegrift]'''&lt;/div&gt;
{{#lsth:User:Guy vandegrift/userbox}}{{hide|User custodian|right}}

I am a retired physics professor who believes we can drastically reduce the cost of higher education. Creating opportunities for students to prove their competency by taking exams is essential to this goal. See [[Quizbank]], and also: [http://www.passmyexams.co.uk/index.html passmyexams.co.uk] and [https://www.myopenmath.com/ myopenmath.com]. 
*I also helped create the [[WikiJournal of Science/About#History|WikiJournal of Science]]. 
*See also [[User:Guy vandegrift/Images on other wikis]]
'''Recent [[w:Wikimedia Foundation|WMF]] edits:&amp;nbsp;''' &lt;!--{{div col}}--&gt;
• [[User:Guy vandegrift/Edits|Wikiversity]]{{spaces|2}}
• [[w:User:Guy_vandegrift/Edits|Wikipedia]]{{spaces|2}}
• [[User:Guy vandegrift/Images on other wikis|Commons]] 
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{| class=&quot;wikitable sortable&quot;
|+
!Refereed Publications&lt;ref&gt;A more detailed publication list can be found on [https://scholar.google.com/citations?hl=en&amp;user=C5ObV4sAAAAJ Google Scholar]&lt;/ref&gt;
!Year
|-
|'''[https://f5webserv.wright.edu/~guy.vandegrift/shortCV/Papers/Mossbauer.pdf The Mössbauer effect explained]''',G Vandegrift, B Fultz '''American Journal of Physics''' 66 (7), 593-596
|1998
|-
|'''[https://f5webserv.wright.edu/~guy.vandegrift/shortCV/Papers/acceleratingwavepacket.pdf Accelerating wave packet solution to Schrödinger’s equation]''',G Vandegrift, '''American Journal of Physics''' 68 (6), 576-577
|2000
|-
|'''[https://f5webserv.wright.edu/~guy.vandegrift/shortCV/Papers/wickham.pdf Curvature induced interchange mode in an axisymmetric plasma]''', M Wickham, G Vandegrift, '''The Physics of Fluids''' 25 (1), 52-58
|1982
|-
|'''[https://f5webserv.wright.edu/~guy.vandegrift/shortCV/Papers/experimentalhelmholtz.pdf Experimental study of the Helmholtz resonance of a violin]''', G Vandegrift, '''American Journal of Physics''' 61 (5), 415-421
|1993
|-
|'''[https://f5webserv.wright.edu/~guy.vandegrift/shortCV/Papers/coriolis.pdf On the derivation of Coriolis and other noninertial accelerations]''', G Vandegrift, '''American Journal of Physics''' 63 (7), 663-663
|1995
|-
|'''[https://f5webserv.wright.edu/~guy.vandegrift/shortCV/Papers/slinky.pdf Wave cutoff on a suspended slinky]''', G Vandegrift, T Baker, J DiGrazio, A Dohne, A Flori, R Loomis, C Steel, ..., '''American Journal of Physic'''s 57 (10), 949-951
|1989
|-
|'''[https://f5webserv.wright.edu/~guy.vandegrift/shortCV/Papers/bell.pdf Bell's theorem and psychic phenomena]''', G Vandegrift, '''The Philosophical Quarterly''' (1950-) 45 (181), 471-476 (Reprinted in Theodore Schick, Jr., (editor) 1999: Readings in the Philosophy of Science: From Positivism to Postmodernism)
|1995
|-
|'''[https://f5webserv.wright.edu/~guy.vandegrift/shortCV/Papers/lorenzian.pdf Deducing the width of a Lorentzian resonance curve from experimental data]''', G Vandegrift, '''American Journal of Physics''' 61 (5), 473-474
|1993
|-
|'''[https://f5webserv.wright.edu/~guy.vandegrift/shortCV/Papers/good.pdf Partial line-tying of the flute mode in a magnetic mirror]''', G Vandegrift, TN Good, '''The Physics of fluids''' 29 (2), 550-555
|1986
|-
|'''[https://f5webserv.wright.edu/~guy.vandegrift/shortCV/Papers/diffraction.pdf The diffraction and spreading of a wavepacket]''', G Vandegrift, '''American Journal of Physics''' 72 (3), 404-407
|2004
|-
|'''[https://f5webserv.wright.edu/~guy.vandegrift/shortCV/Papers/maze.pdf The maze of quantum mechanics]''', G Vandegrift, '''European Journal of Physics''' 23 (5), 513
|2002
|-
|'''[https://f5webserv.wright.edu/~guy.vandegrift/shortCV/Papers/EcclesWall.pdf The spatial inhomogeneity of pressure inside a violin at main air resonance]''', G Vandegrift, E Wall, '''The Journal of the Acoustical Society of America''' 102 (1), 622-627
|1997
|-
|'''[https://f5webserv.wright.edu/~guy.vandegrift/shortCV/Papers/Tranversebending.pdf Transverse bending waves and the breaking broomstick demonstration]''', G Vandegrift, '''American Journal of Physics''' 65 (6), 505-510
|-
|'''[https://www.osti.gov/biblio/6822699 Modulation of longitudinal currents in open magnetic confinement systems due to electrostatic oscillations in the plasma]''', A. A. Bekhtenev, G. G. Vandegrift, and V. I. Volosov, Fiz. Plazmy 14, 292 ('''Sov. J. Plasma Phys. 14, 168''').
|1988
|-
|'''[https://f5webserv.wright.edu/~guy.vandegrift/shortCV/Papers/collisionlesslinetie.pdf Line tying of interchange modes in a nearly collisionless mirror trapped plasma]''', G Vandegrift, '''Physics of Fluids B: Plasma Physics''' 1 (12), 2414-2421
|1989
|-
|'''[https://f5webserv.wright.edu/~guy.vandegrift/shortCV/Papers/collisionlesslinetie.pdf Temperature-driven convection]''', RJ Bohan, G Vandegrift, '''The Physics Teacher''' 41 (2), 76-77
|2003
|-
|'''[https://f5webserv.wright.edu/~guy.vandegrift/shortCV/Papers/greenfunction.pdf A simple derivation of the Green’s function for a rectangular Helmholtz resonator at low frequency]''', G Vandegrift, '''The Journal of the Acoustical Society of America''' 94 (1), 574-575
|1993
|-
|'''[https://f5webserv.wright.edu/~guy.vandegrift/shortCV/Papers/river.pdf The River Needs a Cork]''', G Vandegrift, '''The Physics Teacher''' 46 (7), 440-440
|2008
|-
|'''[https://f5webserv.wright.edu/~guy.vandegrift/shortCV/Papers/bach.pdf Why Bach Sounds Funny on the Piano]''', G Vandegrift, '''American String Teacher''' 44 (4), 12-16
|1994
|-
|'''[[v:WikiJournal of Science/A card game for Bell's theorem and its loopholes|A card game for Bell's theorem and its loopholes]]''', G Vandegrift, J Stomel, '''WikiJournal of Science''' 1 (1), 1-10
*[[v:WikiJournal of Science/A card game for Bell's theorem and its loopholes/Impossible correlations|Impossible correlations]]
*[[v:WikiJournal of Science/A card game for Bell's theorem and its loopholes/The car and the goats|The car and the goats]]
*[[v:WikiJournal of Science/A card game for Bell's theorem and its loopholes/Tube entanglement|Tube entanglement]]

|2018
|-
|'''[https://f5webserv.wright.edu/~guy.vandegrift/shortCV/Papers/RSIanalyzer.pdf End loss analyzer for plasma diagnosis]''', G Vandegrift, R Loomis, '''Review of Scientific Instruments''' 62 (5), 1368-1369
|1991
|-
|'''[https://f5webserv.wright.edu/~guy.vandegrift/shortCV/Papers/RSIsource.pdf A plasma source for mirror physics simulation experiments]''', G Vandegrift, K Donahue, D Velat, '''Review of Scientific Instruments''' 62 (4), 906-908
|1991
|}

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      <comment>see previous edit.  To contact me send an email to vandegrift.guy@gmail.com</comment>
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'''[http://en.wikiversity.org/w/index.php?title=User_talk:Guy_vandegrift&amp;action=edit&amp;section=new Click here to leave a message for Guy vandegrift]'''&lt;/div&gt;
{{#lsth:User:Guy vandegrift/userbox}}{{hide|User custodian|right}}

I am a retired physics professor who believes we can drastically reduce the cost of higher education. Creating opportunities for students to prove their competency by taking exams is essential to this goal. See [[Quizbank]], and also: [http://www.passmyexams.co.uk/index.html passmyexams.co.uk] and [https://www.myopenmath.com/ myopenmath.com]. 
*I also helped create the [[WikiJournal of Science/About#History|WikiJournal of Science]]. 
*See also [[User:Guy vandegrift/Images on other wikis]]
'''Recent [[w:Wikimedia Foundation|WMF]] edits:&amp;nbsp;''' &lt;!--{{div col}}--&gt;
• [[User:Guy vandegrift/Edits|Wikiversity]]{{spaces|2}}
• [[w:User:Guy_vandegrift/Edits|Wikipedia]]{{spaces|2}}
• [[User:Guy vandegrift/Images on other wikis|Commons]] 
&lt;!--{{div col end}}--&gt;
-----
{| class=&quot;wikitable sortable&quot;
|+
!Refereed Publications&lt;ref&gt;A more detailed publication list can be found on [https://scholar.google.com/citations?hl=en&amp;user=C5ObV4sAAAAJ Google Scholar]&lt;/ref&gt;
!Year
|-
|'''[https://f5webserv.wright.edu/~guy.vandegrift/shortCV/Papers/Mossbauer.pdf The Mössbauer effect explained]''',G Vandegrift, B Fultz '''American Journal of Physics''' 66 (7), 593-596
|1998
|-
|'''[https://f5webserv.wright.edu/~guy.vandegrift/shortCV/Papers/acceleratingwavepacket.pdf Accelerating wave packet solution to Schrödinger’s equation]''',G Vandegrift, '''American Journal of Physics''' 68 (6), 576-577
|2000
|-
|'''[https://f5webserv.wright.edu/~guy.vandegrift/shortCV/Papers/wickham.pdf Curvature induced interchange mode in an axisymmetric plasma]''', M Wickham, G Vandegrift, '''The Physics of Fluids''' 25 (1), 52-58
|1982
|-
|'''[https://f5webserv.wright.edu/~guy.vandegrift/shortCV/Papers/experimentalhelmholtz.pdf Experimental study of the Helmholtz resonance of a violin]''', G Vandegrift, '''American Journal of Physics''' 61 (5), 415-421
|1993
|-
|'''[https://f5webserv.wright.edu/~guy.vandegrift/shortCV/Papers/coriolis.pdf On the derivation of Coriolis and other noninertial accelerations]''', G Vandegrift, '''American Journal of Physics''' 63 (7), 663-663
|1995
|-
|'''[https://f5webserv.wright.edu/~guy.vandegrift/shortCV/Papers/slinky.pdf Wave cutoff on a suspended slinky]''', G Vandegrift, T Baker, J DiGrazio, A Dohne, A Flori, R Loomis, C Steel, ..., '''American Journal of Physic'''s 57 (10), 949-951
|1989
|-
|'''[https://f5webserv.wright.edu/~guy.vandegrift/shortCV/Papers/bell.pdf Bell's theorem and psychic phenomena]''', G Vandegrift, '''The Philosophical Quarterly''' (1950-) 45 (181), 471-476 (Reprinted in Theodore Schick, Jr., (editor) 1999: Readings in the Philosophy of Science: From Positivism to Postmodernism)
|1995
|-
|'''[https://f5webserv.wright.edu/~guy.vandegrift/shortCV/Papers/lorenzian.pdf Deducing the width of a Lorentzian resonance curve from experimental data]''', G Vandegrift, '''American Journal of Physics''' 61 (5), 473-474
|1993
|-
|'''[https://f5webserv.wright.edu/~guy.vandegrift/shortCV/Papers/good.pdf Partial line-tying of the flute mode in a magnetic mirror]''', G Vandegrift, TN Good, '''The Physics of fluids''' 29 (2), 550-555
|1986
|-
|'''[https://f5webserv.wright.edu/~guy.vandegrift/shortCV/Papers/diffraction.pdf The diffraction and spreading of a wavepacket]''', G Vandegrift, '''American Journal of Physics''' 72 (3), 404-407
|2004
|-
|'''[https://f5webserv.wright.edu/~guy.vandegrift/shortCV/Papers/maze.pdf The maze of quantum mechanics]''', G Vandegrift, '''European Journal of Physics''' 23 (5), 513
|2002
|-
|'''[https://f5webserv.wright.edu/~guy.vandegrift/shortCV/Papers/EcclesWall.pdf The spatial inhomogeneity of pressure inside a violin at main air resonance]''', G Vandegrift, E Wall, '''The Journal of the Acoustical Society of America''' 102 (1), 622-627
|1997
|-
|'''[https://f5webserv.wright.edu/~guy.vandegrift/shortCV/Papers/Tranversebending.pdf Transverse bending waves and the breaking broomstick demonstration]''', G Vandegrift, '''American Journal of Physics''' 65 (6), 505-510
|1997
|-
|'''[https://www.osti.gov/biblio/6822699 Modulation of longitudinal currents in open magnetic confinement systems due to electrostatic oscillations in the plasma]''', A. A. Bekhtenev, G. G. Vandegrift, and V. I. Volosov, Fiz. Plazmy 14, 292 ('''Sov. J. Plasma Phys. 14, 168''').
|1988
|-
|'''[https://f5webserv.wright.edu/~guy.vandegrift/shortCV/Papers/collisionlesslinetie.pdf Line tying of interchange modes in a nearly collisionless mirror trapped plasma]''', G Vandegrift, '''Physics of Fluids B: Plasma Physics''' 1 (12), 2414-2421
|1989
|-
|'''[https://f5webserv.wright.edu/~guy.vandegrift/shortCV/Papers/collisionlesslinetie.pdf Temperature-driven convection]''', RJ Bohan, G Vandegrift, '''The Physics Teacher''' 41 (2), 76-77
|2003
|-
|'''[https://f5webserv.wright.edu/~guy.vandegrift/shortCV/Papers/greenfunction.pdf A simple derivation of the Green’s function for a rectangular Helmholtz resonator at low frequency]''', G Vandegrift, '''The Journal of the Acoustical Society of America''' 94 (1), 574-575
|1993
|-
|'''[https://f5webserv.wright.edu/~guy.vandegrift/shortCV/Papers/river.pdf The River Needs a Cork]''', G Vandegrift, '''The Physics Teacher''' 46 (7), 440-440
|2008
|-
|'''[https://f5webserv.wright.edu/~guy.vandegrift/shortCV/Papers/bach.pdf Why Bach Sounds Funny on the Piano]''', G Vandegrift, '''American String Teacher''' 44 (4), 12-16
|1994
|-
|'''[[v:WikiJournal of Science/A card game for Bell's theorem and its loopholes|A card game for Bell's theorem and its loopholes]]''', G Vandegrift, J Stomel, '''WikiJournal of Science''' 1 (1), 1-10
*[[v:WikiJournal of Science/A card game for Bell's theorem and its loopholes/Impossible correlations|Impossible correlations]]
*[[v:WikiJournal of Science/A card game for Bell's theorem and its loopholes/The car and the goats|The car and the goats]]
*[[v:WikiJournal of Science/A card game for Bell's theorem and its loopholes/Tube entanglement|Tube entanglement]]

|2018
|-
|'''[https://f5webserv.wright.edu/~guy.vandegrift/shortCV/Papers/RSIanalyzer.pdf End loss analyzer for plasma diagnosis]''', G Vandegrift, R Loomis, '''Review of Scientific Instruments''' 62 (5), 1368-1369
|1991
|-
|'''[https://f5webserv.wright.edu/~guy.vandegrift/shortCV/Papers/RSIsource.pdf A plasma source for mirror physics simulation experiments]''', G Vandegrift, K Donahue, D Velat, '''Review of Scientific Instruments''' 62 (4), 906-908
|1991
|}

{{Subpages/Simple}}
[[Category:Wikiversity custodians]]</text>
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  <page>
    <title>Lua/Expressions</title>
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      <id>2803994</id>
      <parentid>2802947</parentid>
      <timestamp>2026-04-09T20:40:08Z</timestamp>
      <contributor>
        <username>Nimmzo</username>
        <id>801528</id>
      </contributor>
      <comment>/* lead section */ +syntaxhighlight +inline. /* Create a Lua Script with Expressions */ +Click menu &quot;Edit source&quot;  /* Debug Console */ = expr -- limits Debug console as print(expr) → varTarget = expr -- is more powerfull</comment>
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Lua modules based on the Scribunto/Lua extension are stored in resource pages using the &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;Module:&lt;/syntaxhighlight&gt; namespace.  Each module uses a table to hold functions and variables, and that containing table is returned at the end of the module code.&lt;ref&gt;{{cite web |date=2026 |title=Extension:Scribunto/Lua reference manual |url=https://www.mediawiki.org/wiki/Extension:Scribunto/Lua_reference_manual |website=Mediawiki |access-date=2026-04-04}}&lt;/ref&gt; Expressions are comprised of literal values, variables, and arithmetic, relational and logical operators.  This lesson will show you how to use expressions in your scripts. 
__TOC__

== Prerequisites ==
This lesson assumes you have already completed the [[Lua/Variables | Variables]] lesson.

== Create a Lua Script with Expressions ==
To create a Lua script with expressions:
# Navigate to [[Module:Sandbox]].
# Click on the menu &lt;code&gt;Edit source&lt;/code&gt; and clear all existing code.
#: It's a sandbox.  Everyone is free to play in the sandbox.  But if you find another user is actively editing the sandbox at the same time, you may also use Module:Sandbox/Username, where Username is your Wikiversity username.
# Add the following code and do not save the page.

=== New Lua length function ===
&lt;blockquote&gt;&lt;syntaxhighlight lang=&quot;lua&quot; line highlight=6 copy&gt;
local p = {}
function p.length() -- get length of msg
    local msg = 'This is a string'
    local result = ';Length\n' -- Wiki semicolon ';' bolds the title.
    -- Operator sharp '#' returns the length of the variable msg that follows:
    result = result .. ':The length of &quot;' .. msg .. '&quot; is ' .. #msg
    return result
end
return p
&lt;/syntaxhighlight&gt;&lt;/blockquote&gt;

=== Debug Console ===
In [[Module:Sandbox]], the above &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;function p.length() -- get length of msg&lt;/syntaxhighlight&gt; has been pasted:
# Scroll down until &lt;code&gt;Debug console&lt;/code&gt; at the end of the page.
# Paste the following call in the gray input area (above &lt;code&gt;Clear&lt;/code&gt;) and validate by Enter: ↲
&lt;blockquote&gt;&lt;syntaxhighlight lang=&quot;lua&quot; line highlight=1 copy&gt;
print(p.length())
&lt;/syntaxhighlight&gt;&lt;/blockquote&gt;

The result should be:
&lt;blockquote&gt;&lt;syntaxhighlight lang=&quot;lua&quot; line start=2&gt;
;Length
:The length of &quot;This is a string&quot; is 16
&lt;/syntaxhighlight&gt;&lt;/blockquote&gt;
There is no need to save the Sandbox page to use the &lt;code&gt;Debug console&lt;/code&gt;:
# Wikicode semicolon &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;';' -- bold&lt;/syntaxhighlight&gt;, colon &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;':' -- left margin&lt;/syntaxhighlight&gt; and HTML tag &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;'&lt;br&gt;' -- line break&lt;/syntaxhighlight&gt; are not rendered in the Debug console.
# Do not start a line with &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;=&lt;/syntaxhighlight&gt; to evaluate it as an expression without providing a target variable on the left:&lt;br&gt;&lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;varTarget = expr -- assign expr (e.g. 40 + 2) to varTarget; result is 42&lt;/syntaxhighlight&gt;
# Privilege: &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;print(p.FunctionName())&lt;/syntaxhighlight&gt;↲

=== Test Lua length function ===
To test your Lua script:
# Save the Module:Sandbox to call it from ''another'' Wiki page.
# Navigate to either the [[Module_talk:Sandbox]] page, the [[Wikiversity:Sandbox]] page, or your own user or sandbox page. 
# Add the following code and save the page:
&lt;blockquote&gt;&lt;syntaxhighlight lang=&quot;lua&quot; line highlight=1 copy&gt;
{{#invoke:Sandbox|length}}
&lt;/syntaxhighlight&gt;&lt;/blockquote&gt;

The result should be:
&lt;blockquote&gt;
;Length
:The length of &quot;This is a string&quot; is 16
&lt;/blockquote&gt;

=== New Lua arithmetic function ===
To create a Lua script with expressions:
# Add the following code and save the page.
&lt;blockquote&gt;&lt;syntaxhighlight lang=&quot;lua&quot; line highlight=11 copy&gt;
local p = {}

function p.arithmetic()
    local a = 3
    local b = 2
    local result

    result = ';Arithmetic\n'
    result = result .. ':a is ' .. a .. '\n' -- Wiki colon ':' adds a left margin
    result = result .. ':b is ' .. b .. '\n'
    result = result .. ':a + b is ' .. a + b .. '\n' -- add
    result = result .. ':a - b is ' .. a - b .. '\n'
    result = result .. ':a * b is ' .. a * b .. '\n'
    result = result .. ':a / b is ' .. a / b .. '\n'
    result = result .. ':a % b is ' .. a % b .. '\n' -- modulo
    result = result .. ':a ^ b is ' .. a ^ b .. '\n' -- power
    result = result .. ':-a is ' .. -a .. '\n'

    return result
end

return p
&lt;/syntaxhighlight&gt;&lt;/blockquote&gt;

=== Test Lua arithmetic function ===
To test your Lua script:
# Navigate to either the [[Module_talk:Sandbox]] page, the [[Wikiversity:Sandbox]] page, or your own user or sandbox page. 
# Add the following code and save the page:
&lt;blockquote&gt;&lt;syntaxhighlight lang=&quot;lua&quot; line highlight=1 copy&gt;
{{#invoke:Sandbox|arithmetic}}
&lt;/syntaxhighlight&gt;&lt;/blockquote&gt;

The result should be:
&lt;blockquote&gt;
;Arithmetic
:a is 3
:b is 2
:a + b is 5
:a - b is 1
:a * b is 6
:a / b is 1.5
:a % b is 1
:a ^ b is 9
:-a is -3
&lt;/blockquote&gt;

=== New Lua relational function ===
&lt;blockquote&gt;&lt;syntaxhighlight lang=&quot;lua&quot; line highlight=5 copy&gt;
local p = {}
function p.relational()
    local a = 3; local b = 2; local result = ';Relational\n'
    result = result .. ':a is ' .. a .. '\n' .. ':b is ' .. b .. '\n'
    result = result .. ':a == b is ' .. tostring(a == b) .. '\n' -- equal
    result = result .. ':a ~= b is ' .. tostring(a ~= b) .. '\n' -- different
    result = result .. ':a &lt; b is ' .. tostring(a &lt; b) .. '\n'
    result = result .. ':a &gt; b is ' .. tostring(a &gt; b) .. '\n'
    result = result .. ':a &lt;= b is ' .. tostring(a &lt;= b) .. '\n'
    result = result .. ':a &gt;= b is ' .. tostring(a &gt;= b) .. '\n'
    return result
end
return p
&lt;/syntaxhighlight&gt;&lt;/blockquote&gt;

=== Test Lua relational function ===
To test your Lua script:
# Navigate to either the [[Module_talk:Sandbox]] page, the [[Wikiversity:Sandbox]] page, or your own user or sandbox page. 
# Add the following code and save the page:
&lt;blockquote&gt;&lt;syntaxhighlight lang=&quot;lua&quot; line highlight=1 copy&gt;
{{#invoke:Sandbox|relational}}
&lt;/syntaxhighlight&gt;&lt;/blockquote&gt;

The result should be:
&lt;blockquote&gt;
;Relational
:a is 3
:b is 2
:a == b is false
:a ~= b is true
:a &lt; b is false
:a &gt; b is true
:a &lt;= b is false
:a &gt;= b is true
&lt;/blockquote&gt;

=== New Lua logical function ===
&lt;blockquote&gt;&lt;syntaxhighlight lang=&quot;lua&quot; line highlight=5 copy&gt;
local p = {}
function p.logical()
    local a = 3; local b = 2; local result = ';Logical\n'
    result = result .. ':a is ' .. a .. '\n' .. ':b is ' .. b .. '\n'
    result = result .. ':a &lt; b is ' .. tostring(a &lt; b) .. '\n'
    result = result .. ':not (a &lt; b) is ' .. tostring(not (a &lt; b)) .. '\n'
    result = result .. ':a &lt; b and b &lt; a is ' .. tostring(a &lt; b and b &lt; a) .. '\n'
    result = result .. ':a &lt; b or b &lt; a is ' .. tostring(a &lt; b or b &lt; a) .. '\n'
    return result
end
return p
&lt;/syntaxhighlight&gt;&lt;/blockquote&gt;

=== Test Lua logical function ===
To test your Lua script:
# Navigate to either the [[Module_talk:Sandbox]] page, the [[Wikiversity:Sandbox]] page, or your own user or sandbox page. 
# Add the following code and save the page:
&lt;blockquote&gt;&lt;syntaxhighlight lang=&quot;lua&quot; line highlight=1 copy&gt;
{{#invoke:Sandbox|logical}}
&lt;/syntaxhighlight&gt;&lt;/blockquote&gt;

The result should be:
&lt;blockquote&gt;
;Logical
:a is 3
:b is 2
:a &lt; b is false
:not (a &lt; b) is true
:a &lt; b and b &lt; a is false
:a &lt; b or b &lt; a is true
&lt;/blockquote&gt;

== Understand Your Lua Script ==
To understand your Lua script:
;Length
# &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;#&lt;/syntaxhighlight&gt; returns the length of the variable that follows.

;Arithmetic
# &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;local&lt;/syntaxhighlight&gt; and the following code defines the variables a, b, and result.  a and b are initialized.  result is &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;nil&lt;/syntaxhighlight&gt;.
# &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;3&lt;/syntaxhighlight&gt; and &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;2&lt;/syntaxhighlight&gt; are numeric literals.
# &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;';Arithmetic\n'&lt;/syntaxhighlight&gt; is a string literal.  String literals may also be defined using double quotes, such as &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;&quot;;Arithmetic\n&quot;&lt;/syntaxhighlight&gt;.
# &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;'\n'&lt;/syntaxhighlight&gt; is a newline character.  Content that follows will appear on a new line in the resulting text.
# &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;..&lt;/syntaxhighlight&gt; is the concatenation operator.  It appends two strings together.  Numeric values are automatically converted to strings when concatenated.
# &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;+&lt;/syntaxhighlight&gt;, &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;-&lt;/syntaxhighlight&gt;, &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;*&lt;/syntaxhighlight&gt;, and &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;/&lt;/syntaxhighlight&gt; are add, subtract, multiply, and divide, respectively.
# &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;%&lt;/syntaxhighlight&gt; is the modulo or remainder operator.
# &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;^&lt;/syntaxhighlight&gt; is the exponentiation or 'raise to the power of' operator.
# &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;-&lt;/syntaxhighlight&gt; preceding a variable is the negation operator.

;Relational
# &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;==&lt;/syntaxhighlight&gt; compares for equality.
# &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;~=&lt;/syntaxhighlight&gt; compares for inequality.
# &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;&lt;&lt;/syntaxhighlight&gt;, &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;&gt;&lt;/syntaxhighlight&gt;, &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;&lt;=&lt;/syntaxhighlight&gt;, and &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;&gt;=&lt;/syntaxhighlight&gt; compare less than, greater than, less than or equal, and greater than or equal, respectively.
# &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;tostring()&lt;/syntaxhighlight&gt; explicitly converts the content to a string.  Logical comparisons do not automatically convert to strings.

;Logical
# &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;and&lt;/syntaxhighlight&gt; returns false if the left operand is false, or the value of the right operand if the left operand is true.
#:This left/right approach is more efficient, because &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;and&lt;/syntaxhighlight&gt; stops evaluating as soon as it knows the result is false.
# &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;or&lt;/syntaxhighlight&gt; returns true if the left operand is true, or the value of the right operand if the left operand is false.
#:This left/right approach is more efficient, because &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;or&lt;/syntaxhighlight&gt; stops evaluating as soon as it knows the result is true.
# &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;not&lt;/syntaxhighlight&gt; returns the true/false opposite of what follows.

== Conclusion ==
Congratulations! You've now created, tested, and understood a Lua script with expressions. Continue on to the [[Lua/Conditions | Conditions]] lesson.

== See Also ==
* [[Wikipedia: Expression (computer science)]]

== References ==
{{reflist}}

{{subpage navbar}}
{{CourseCat}}
[[Category: Lessons]]
[[Category: Completed resources]]</text>
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  <page>
    <title>Lua/Tables</title>
    <ns>0</ns>
    <id>153528</id>
    <revision>
      <id>2803998</id>
      <parentid>2803398</parentid>
      <timestamp>2026-04-09T21:20:12Z</timestamp>
      <contributor>
        <username>Nimmzo</username>
        <id>801528</id>
      </contributor>
      <comment>/* Console to learn Lua */ +mw.logObject</comment>
      <origin>2803998</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="14781" sha1="bjvwsw3d6z9bnaz5ir5af0y6ns5qud8" xml:space="preserve">{{:{{BASEPAGENAME}}/Sidebar}}
Lua modules based on the Scribunto/Lua extension are stored in resource pages using the &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;Module:&lt;/syntaxhighlight&gt; namespace.  Each module uses a [[mw:Extension:Scribunto/Lua_reference_manual#table|table]] to hold functions and variables, and that containing table is returned at the end of the module code.&lt;ref&gt;{{cite web |date=2026 |title=Extension:Scribunto/Lua reference manual |url=https://www.mediawiki.org/wiki/Extension:Scribunto/Lua_reference_manual#table |website=Mediawiki |access-date=2026-04-06}}&lt;/ref&gt;  Tables are [[w:en:associative array|associative arrays]] or collections of data with key / value pairs that may be used to hold, organize and access data.  This lesson will show you how to use tables in your scripts.
__TOC__

== Prerequisites ==
This lesson assumes you have already completed the [[Lua/Functions | Functions]] lesson.

== Console to learn Lua ==
# In [[Module:Sandbox]], click &lt;code&gt;Edit source&lt;/code&gt; without modifying the existing code.
# Scroll down until &lt;code&gt;Debug console&lt;/code&gt; at the end of the page.
# Paste the following entire function and its call together then validate once by Enter: ↲
&lt;blockquote&gt;&lt;syntaxhighlight lang=&quot;lua&quot; line highlight=1,14 copy&gt;
local function tableToString(tab) -- pretty stringify input table
    local key; local val; local sep; local res = {':'} -- left margin
    for key, val in pairs(tab) do -- Iterates each pair key val
        if #res % 5 == 0 then sep = '\n:' else sep = '. ' end -- separator
        if tonumber(key) then -- numerical index of table?
        	res[#res + 1] = 'table[' .. key .. '] is ' .. val .. sep -- [index]
        else -- alpha key without white separator
        	res[#res + 1] = 'table.' .. key .. ' is ' .. val .. sep -- dot 𝛼
        end
    end
    return table.concat(res) -- concatenation more efficient than .. operator
end
local lstNum = {10, 20, 30}
print(tableToString(lstNum))
&lt;/syntaxhighlight&gt;&lt;/blockquote&gt;

The result should be:
&lt;blockquote&gt;&lt;syntaxhighlight lang=&quot;lua&quot; line start=15&gt;
:table[1] is 10. table[2] is 20. table[3] is 30. 
&lt;/syntaxhighlight&gt;&lt;/blockquote&gt;

Let's define a dictionary of Asian languages:
&lt;blockquote&gt;&lt;syntaxhighlight lang=&quot;lua&quot; line highlight=1,3,4 start=16 copy&gt;
local lstAsian = {ja = &quot;日本語&quot;, ko = &quot;한국어&quot;, zh = &quot;中文&quot;}
print(lstNum[2])
print(lstAsian.ja)
print(tableToString(lstAsian))
&lt;/syntaxhighlight&gt;&lt;/blockquote&gt;

The Debug console supports Unicode:
&lt;blockquote&gt;&lt;syntaxhighlight lang=&quot;lua&quot; line start=20&gt;
20
日本語
:table.ja is 日本語. table.zh is 中文. table.ko is 한국어. 
&lt;/syntaxhighlight&gt;&lt;/blockquote&gt;

CAUTION: Iterator &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;pairs(tab)&lt;/syntaxhighlight&gt; may iterate in arbitrary order.

Note: press upwards arrow ↑ for the historic in the Debug console.

Compare with the standard &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;mw.logObject(table)&lt;/syntaxhighlight&gt;:
&lt;blockquote&gt;&lt;syntaxhighlight lang=&quot;lua&quot; line highlight=1 start=23 copy&gt;
mw.logObject(lstAsian)
&lt;/syntaxhighlight&gt;&lt;/blockquote&gt;

&lt;blockquote&gt;&lt;syntaxhighlight lang=&quot;lua&quot; line start=24&gt;
table#1 {
    [&quot;ja&quot;] = &quot;日本語&quot;,
    [&quot;ko&quot;] = &quot;한국어&quot;,
    [&quot;zh&quot;] = &quot;中文&quot;,
} 
&lt;/syntaxhighlight&gt;&lt;/blockquote&gt;

== Create a Lua Script with Tables ==
To create a Lua script with tables:
# Go to the top of [[Module:Sandbox]] in the editor.
# Replace the existing code pasting the following Lua code without clicking on &lt;code&gt;Publish changes&lt;/code&gt;.
&lt;blockquote&gt;&lt;syntaxhighlight lang=&quot;lua&quot; line highlight=2,14,15,21 copy&gt;
local p = {} 
local function tableToString(tab) -- pretty stringify input table
    local key; local val; local sep; local res = {':'} -- left margin
    for key, val in pairs(tab) do -- Iterates each pair key val
        if #res % 5 == 0 then sep = '\n:' else sep = '. ' end -- separator
        if tonumber(key) then -- numerical index of table?
        	res[#res + 1] = 'table[' .. key .. '] is ' .. val .. sep -- [index]
        else -- alpha key without white separator
        	res[#res + 1] = 'table.' .. key .. ' is ' .. val .. sep -- dot alpha
        end
    end
    return table.concat(res) -- concatenation more efficient than string `..` operator
end
function p.sequence() return ';sequence\n' .. tableToString({10, 20, 30}) end -- numerical sequence
function p.dictionary() -- returns a dictionary of language codes -&gt; English names
    local lstLang = {de = &quot;German&quot;, en = &quot;English&quot;, es = &quot;Spanish&quot;, fr = &quot;French&quot;, it = &quot;Italian&quot;, -- Europe
        ja = &quot;Japanese&quot;, ko = &quot;Korean&quot;, ru = &quot;Russian&quot;, zh = &quot;Chinese&quot; -- Asia + Russia
    }
    return ';dictionary\n' .. tableToString(lstLang)
end
function p.translate() -- provides language codes -&gt; localized native names
    local lstLang = {de = &quot;Deutsch&quot;, en = &quot;English&quot;, es = &quot;Español&quot;, fr = &quot;Français&quot;, it = &quot;Italiano&quot;, -- Latin
        ja = &quot;日本語&quot;, ko = &quot;한국어&quot;, ru = &quot;Русский&quot;, zh = &quot;中文&quot; -- Unicode
    }
    return ';translate\n' .. tableToString(lstLang)
end
return p
&lt;/syntaxhighlight&gt;&lt;/blockquote&gt;

In &lt;code&gt;Debug console&lt;/code&gt;, validate:
&lt;blockquote&gt;&lt;syntaxhighlight lang=&quot;lua&quot; line highlight=1-3 copy&gt;
print(p.sequence())
print(p.dictionary())
print(p.translate())
&lt;/syntaxhighlight&gt;&lt;/blockquote&gt;

WARNING: Iterator &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;pairs(tab)&lt;/syntaxhighlight&gt; may iterate in arbitrary order:
&lt;blockquote&gt;&lt;syntaxhighlight lang=&quot;lua&quot; line start=4&gt;
;sequence
:table[1] is 10. table[2] is 20. table[3] is 30. 
;dictionary
:table.es is Spanish. table.ja is Japanese. table.fr is French. table.ru is Russian. table.de is German
:table.ko is Korean. table.en is English. table.zh is Chinese. table.it is Italian. 
;translate
:table.es is Español. table.ja is 日本語. table.fr is Français. table.ru is Русский. table.de is Deutsch
:table.ko is 한국어. table.en is English. table.zh is 中文. table.it is Italiano. 
&lt;/syntaxhighlight&gt;&lt;/blockquote&gt;

== Test Your Lua Script ==
To test your Lua script:
# Save the Module:Sandbox to call it from another Wiki page.
# Navigate to either the [[Module_talk:Sandbox]] page, the [[Wikiversity:Sandbox]] page, or your own user or sandbox page. 
# Add the following code and save the page:
&lt;blockquote&gt;&lt;syntaxhighlight lang=&quot;lua&quot; line highlight=1-3 copy&gt;
{{#invoke:Sandbox|sequence}}
{{#invoke:Sandbox|dictionary}}
{{#invoke:Sandbox|translate}}
&lt;/syntaxhighlight&gt;&lt;/blockquote&gt;

The result should be similar to:
&lt;blockquote&gt;
;sequence
:table[1] is 10. table[2] is 20. table[3] is 30. 
;dictionary
:table.es is Spanish. table.ja is Japanese. table.fr is French. table.ru is Russian. table.de is German
:table.ko is Korean. table.en is English. table.zh is Chinese. table.it is Italian. 
;translate
:table.es is Español. table.ja is 日本語. table.fr is Français. table.ru is Русский. table.de is Deutsch
:table.ko is 한국어. table.en is English. table.zh is 中文. table.it is Italiano. 
&lt;/blockquote&gt;

== Understand Your Lua Script ==
=== tableToString ===
To understand your Lua script &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;tableToString&lt;/syntaxhighlight&gt; function:
# &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;local function tableToString(tab)&lt;/syntaxhighlight&gt; declares a local function named &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;tableToString&lt;/syntaxhighlight&gt; that accepts a single parameter &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;tab&lt;/syntaxhighlight&gt;, which is the table to be converted to a string.
# &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;local&lt;/syntaxhighlight&gt; and the following code defines the variables &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;key&lt;/syntaxhighlight&gt;, &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;val&lt;/syntaxhighlight&gt;, and &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;result&lt;/syntaxhighlight&gt;.  All are &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;nil&lt;/syntaxhighlight&gt;.
# The previous lesson is based on string &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;result = ''&lt;/syntaxhighlight&gt;.&lt;br&gt;Let's introduce the table &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;local res = {':'} -- left margin&lt;/syntaxhighlight&gt; with its counter &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;#res -- length of the table&lt;/syntaxhighlight&gt;
# &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;for key, value in pairs(tab) do&lt;/syntaxhighlight&gt; creates a loop code block that will vary the value of the variables &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;key&lt;/syntaxhighlight&gt; and &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;value&lt;/syntaxhighlight&gt; for each key/value data pair in the table &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;tab&lt;/syntaxhighlight&gt;.
# &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;if tonumber(key) then&lt;/syntaxhighlight&gt; tests to see if the key can be converted to a number.  If it can, the key is displayed as a number (without quotes).  If it can't be converted, the key is displayed as a literal string (with quotes).
# Compare the string concatenation: &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;result = result .. ':table[' .. key .. '] is ' .. value .. '\n'&lt;/syntaxhighlight&gt; or&lt;br&gt;&lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;result = result .. ':table[\'' .. key .. '\'] is ' .. value .. '\n'&lt;/syntaxhighlight&gt; adds the current key and value to the result.&lt;br&gt;&lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;res[#res + 1] = 'table[' .. key .. '] is ' .. val .. sep -- [index]&lt;/syntaxhighlight&gt; will be faster thanks to &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;return table.concat(res)&lt;/syntaxhighlight&gt;.
#* The &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;table[key]&lt;/syntaxhighlight&gt; notation is a common way to reference individual table keys to access their associated values.
#* To display quotes inside a string, you must either switch between quote identifiers (&quot;/'), or use the \ character to 'escape' the quote, which forces it to be part of the string rather than terminate the string.
# &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;end&lt;/syntaxhighlight&gt; ends the loop.
# &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;return table.concat(res) -- concatenation more efficient than string `..` operator&lt;/syntaxhighlight&gt; returns the concatenation of each item in the table as the result of the function.
# &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;end&lt;/syntaxhighlight&gt; ends the function.

=== p.sequence ===
To understand your Lua script &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;sequence&lt;/syntaxhighlight&gt; function:
# &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;function p.sequence() return ';sequence\n' .. tableToString({10, 20, 30}) end -- numerical sequence&lt;/syntaxhighlight&gt; could be detailed in the following steps.
# &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;local numbers = {10, 20, 30}&lt;/syntaxhighlight&gt; defines a local table variable named &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;numbers&lt;/syntaxhighlight&gt;, which is initialized with three values.
#: When table values are specified without matching keys, Lua automatically adds numeric keys for the values as a sequence from 1 to N, the number of values added.  This allows Lua tables to be used similar to how arrays are used in other programming languages.  For example, the second value in the table could be referenced as &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;numbers[2]&lt;/syntaxhighlight&gt;, and the table values could be processed with a for loop.
# &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;local result&lt;/syntaxhighlight&gt; defines the variable &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;result&lt;/syntaxhighlight&gt; and initializes it to &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;nil&lt;/syntaxhighlight&gt;.
# &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;result = ';sequence\n'&lt;/syntaxhighlight&gt; assigns a literal string value to the variable &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;result&lt;/syntaxhighlight&gt;. The semi colon is an operator that separates each new statement and the /n means new line.
# &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;result = result .. tableToString(numbers)&lt;/syntaxhighlight&gt; calls the &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;tableToString&lt;/syntaxhighlight&gt; function, passing the table &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;numbers&lt;/syntaxhighlight&gt; as the parameter and concatenates the returned value to the variable &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;result&lt;/syntaxhighlight&gt;.
# &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;return result&lt;/syntaxhighlight&gt; returns the current value of &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;result&lt;/syntaxhighlight&gt; as the result of the function.
# &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;end&lt;/syntaxhighlight&gt; ends the function.

=== p.dictionary or p.translate ===
To understand your Lua script &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;dictionary&lt;/syntaxhighlight&gt; function:
# &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;function p.dictionary()&lt;/syntaxhighlight&gt; declares a function named dictionary.
# &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;local lstLang = {de = &quot;German&quot;, en = &quot;English&quot;,&lt;/syntaxhighlight&gt; ... &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;ja = &quot;日本語&quot;, ko = &quot;한국어&quot;,&lt;/syntaxhighlight&gt; ... &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;, zh = &quot;中文&quot;} -- Unicode&lt;/syntaxhighlight&gt; and the following code defines a local table variable named &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;lstLang&lt;/syntaxhighlight&gt;, which is initialized with 9 key/value pairs.
#* When table values are specified with matching keys, Lua uses the specified keys instead of numeric key values.  
#* Lua tables with specified key values cannot be used as arrays using &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;table[number]&lt;/syntaxhighlight&gt; notation.
#* Lua tables with specified key values can be used as associative arrays using &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;table[key]&lt;/syntaxhighlight&gt; notation, such as &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;lstLang['ja']&lt;/syntaxhighlight&gt;.  Quotes around string literal keys are required with this notation format.
#* Lua tables with specified key values can also be used as associative arrays using &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;table.key&lt;/syntaxhighlight&gt; notation, such as &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;lstLang.ja&lt;/syntaxhighlight&gt;.  Quotes around string literal keys are not required with this notation format.
# &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;return ';dictionary\n' .. tableToString(lstLang)&lt;/syntaxhighlight&gt; calls the &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;tableToString&lt;/syntaxhighlight&gt; function, passing the table &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;lstLang&lt;/syntaxhighlight&gt; as the parameter and concatenates the returned value as the result of the function.
# &lt;syntaxhighlight lang=&quot;lua&quot; inline&gt;end&lt;/syntaxhighlight&gt; ends the function.
It is important to note that the for loop to process table pairs will process all values in the table, but tables with specified key values may not be processed in the order they were created.

== Conclusion ==
Congratulations! You've now created, tested, and understood a Lua script with tables. Continue on to the [[../Errors/]] lesson.

== See Also ==
* [[Lua/Table Library | Lua Table Library]]
* [[Wikipedia: Associative array]]

== References ==
{{reflist}}

{{subpage navbar}}
{{CourseCat}}
[[Category: Lessons]]
[[Category: Completed resources]]</text>
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      <text bytes="65331" sha1="gqdduwoa6w4abm7xjdyajd4capnih6n" xml:space="preserve">== Archives ==
* [[Outreach:GLAM/Newsletter/Archives]]

== ''This Month in GLAM'': January 2025 ==

{| style=&quot;width:100%;&quot;
| valign=&quot;top&quot; align=&quot;center&quot; style=&quot;border:1px gray solid; padding:1em;&quot; |
{| align=&quot;center&quot;
|-
| style=&quot;text-align: center;&quot; | [[File:This Month in GLAM logo 2018.png|350px|center|link=outreach:GLAM/Newsletter]]&lt;br /&gt;
&lt;hr /&gt;
&lt;div style=&quot;font-size:12pt; font-family:Times New Roman; text-align:center;&quot;&gt;[[outreach:GLAM/Newsletter/January 2025|&lt;span style=&quot;color:darkslategray;&quot;&gt;This Month in GLAM – Volume XV, Issue I, January 2025&lt;/span&gt;]]&lt;/div&gt;
&lt;hr /&gt;&lt;br /&gt;

|- style=&quot;text-align: center;&quot;
| &lt;span style=&quot;font-size:12pt; font-family:Times New Roman;&quot;&gt; '''&lt;u&gt;Headlines&lt;/u&gt;'''&lt;/span&gt;
|- style=&quot;font-size:10pt; font-family:Times New Roman; text-align:center;&quot;
| &lt;div style=&quot;text-align:left; column-count:2; column-width:28em; vertical-align:top;&quot;&gt;

* [[outreach:GLAM/Newsletter/January 2025/Contents/Africa report|Africa report]]: Guinea-Bissau Heritage from Commons to the World
* [[outreach:GLAM/Newsletter/January 2025/Contents/Albania report|Albania report]]: Wikimedian in Residence at the Qemal Baholli Public Library in Elbasan (October - December 2024)
* [[outreach:GLAM/Newsletter/January 2025/Contents/Aruba report|Aruba report]]: Wikipedia on Aruba project has officially begun!
* [[outreach:GLAM/Newsletter/January 2025/Contents/Brazil report|Brazil report]]: Wiki Loves Maranhão
* [[outreach:GLAM/Newsletter/January 2025/Contents/Germany report|Germany report]]: Exploring Wikidata &amp; Building Community for Cultural Heritage Professionals
* [[outreach:GLAM/Newsletter/January 2025/Contents/Indonesia report|Indonesia report]]: Celebrating Public Domain Day 2025 in Indonesia
* [[outreach:GLAM/Newsletter/January 2025/Contents/Italy report|Italy report]]: New Wikimedia Italia Grant for GLAMs
* [[outreach:GLAM/Newsletter/January 2025/Contents/Netherlands report|Netherlands report]]: 3 Million Dutch Cultural Heritage Images in Commons &amp; 400,000 RCE images now in higher resolution &amp; Usage of DBNL in Dutch Wikipedia articles
* [[outreach:GLAM/Newsletter/January 2025/Contents/New Zealand report|New Zealand report]]: Student led Edit-a-thon
* [[outreach:GLAM/Newsletter/January 2025/Contents/Poland report|Poland report]]: GLAM-Wiki 2024 in Poland: Achievements, Collaborations, and Impact
* [[outreach:GLAM/Newsletter/January 2025/Contents/Serbia report|Serbia report]]: Wikimedia Serbia: Advancing GLAM collaborations and digital heritage
* [[outreach:GLAM/Newsletter/January 2025/Contents/Switzerland report|Switzerland report]]: Swiss GLAM Programme
* [[outreach:GLAM/Newsletter/January 2025/Contents/UK report|UK report]]: Cairo Geniza
* [[outreach:GLAM/Newsletter/January 2025/Contents/USA report|USA report]]: Wikipedia Day
* [[outreach:GLAM/Newsletter/January 2025/Contents/Biodiversity Heritage Library report|Biodiversity Heritage Library report]]: BHL-Wiki Working Group January monthly highlights
* [[outreach:GLAM/Newsletter/January 2025/Contents/Special story|Special story]]: Join the Global GLAM Call – Tuesday, February 11th, 13:30 UTC!
* [[outreach:GLAM/Newsletter/January 2025/Contents/Memory of the World report|Memory of the World report]]: To the front page!
* [[outreach:GLAM/Newsletter/January 2025/Contents/Wikidata report|Wikidata report]]: Wikidata at WikiLibCon 2025
* [[outreach:GLAM/Newsletter/January 2025/Contents/Events|Calendar]]: February's GLAM events

&lt;/div&gt;
|-
| style=&quot;font-family:Times New Roman; text-align:center; font-size:85%;&quot; | [[outreach:GLAM/Newsletter|Read this edition in full]] &amp;bull; [[outreach:GLAM/Newsletter/January 2025/Single|Single-page]]
|-
| valign=&quot;top&quot; colspan=&quot;2&quot; style=&quot;padding:0.5em; font-family:Times New Roman;text-align:center; font-size:85%;&quot; |
To assist with preparing the newsletter, please visit the [[outreach:GLAM/Newsletter/Newsroom|newsroom]]. Past editions may be viewed [[outreach:GLAM/Newsletter/Archives|here]].
|-
|}
|}
&lt;div style=&quot;margin-top:10px; font-size:90%; padding-left:5px; font-family:Georgia, Palatino, Palatino Linotype, Times, Times New Roman, serif;&quot;&gt;[[m:GLAM/Newsletter/About|About ''This Month in GLAM'']] · [[m:Global message delivery/Targets/GLAM|Subscribe/Unsubscribe]] · [[m:MassMessage|Global message delivery]] · [[:m:User:Romaine|Romaine]] 23:23, 9 February 2025 (UTC)&lt;/div&gt;
&lt;!-- Message sent by User:Romaine@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/GLAM&amp;oldid=28125057 --&gt;

== ''This Month in GLAM'': February 2025 ==

{| style=&quot;width:100%;&quot;
| valign=&quot;top&quot; align=&quot;center&quot; style=&quot;border:1px gray solid; padding:1em;&quot; |
{| align=&quot;center&quot;
|-
| style=&quot;text-align: center;&quot; | [[File:This Month in GLAM logo 2018.png|350px|center|link=outreach:GLAM/Newsletter]]&lt;br /&gt;
&lt;hr /&gt;
&lt;div style=&quot;font-size:12pt; font-family:Times New Roman; text-align:center;&quot;&gt;[[outreach:GLAM/Newsletter/February 2025|&lt;span style=&quot;color:darkslategray;&quot;&gt;This Month in GLAM – Volume XV, Issue II, February 2025&lt;/span&gt;]]&lt;/div&gt;
&lt;hr /&gt;&lt;br /&gt;

|- style=&quot;text-align: center;&quot;
| &lt;span style=&quot;font-size:12pt; font-family:Times New Roman;&quot;&gt; '''&lt;u&gt;Headlines&lt;/u&gt;'''&lt;/span&gt;
|- style=&quot;font-size:10pt; font-family:Times New Roman; text-align:center;&quot;
| &lt;div style=&quot;text-align:left; column-count:2; column-width:28em; vertical-align:top;&quot;&gt;

* [[outreach:GLAM/Newsletter/February 2025/Contents/Albania report|Albania report]]: Celebrating the English Wikipedia’s Birthday in Albania!
* [[outreach:GLAM/Newsletter/February 2025/Contents/Belgium report|Belgium report]]: Belgium Public Domain Day and Dance Heritage
* [[outreach:GLAM/Newsletter/February 2025/Contents/Brazil report|Brazil report]]: Wiki and COP30 in the Amazon rainforest
* [[outreach:GLAM/Newsletter/February 2025/Contents/Germany report|Germany report]]: GLAM digital and seminar on Jewish life 
* [[outreach:GLAM/Newsletter/February 2025/Contents/Italy report|Italy report]]: GLAM call and Progetto cultura
* [[outreach:GLAM/Newsletter/February 2025/Contents/Netherlands report|Netherlands report]]: [GLAM metrics] Usage of Delpher in Dutch Wikipedia articles
* [[outreach:GLAM/Newsletter/February 2025/Contents/New Zealand report|New Zealand report]]: Wikipedia podcast episode, Trilepidea newsletter article, and the Wikipedian at Large 
* [[outreach:GLAM/Newsletter/February 2025/Contents/Macedonia report|North Macedonia report]]: Wikimedia MKD GLAM program for 2025
* [[outreach:GLAM/Newsletter/February 2025/Contents/Poland report|Poland report]]: What's up in GLAM in Poland
* [[outreach:GLAM/Newsletter/February 2025/Contents/Switzerland report|Switzerland report]]: Swiss GLAM Programme
* [[outreach:GLAM/Newsletter/February 2025/Contents/UK report|UK report]]: Islamic and Jewish history
* [[outreach:GLAM/Newsletter/February 2025/Contents/Ukraine report|Ukraine report]]: GLAM news from Ukraine – events for libraries, #1Lib1Ref, launch of a larger GLAM product 
* [[outreach:GLAM/Newsletter/February 2025/Contents/USA report|USA report]]: February meetings
* [[outreach:GLAM/Newsletter/February 2025/Contents/Biodiversity Heritage Library report|Biodiversity Heritage Library report]]: BHL-Wiki Working Group February monthly highlights
* [[outreach:GLAM/Newsletter/February 2025/Contents/AvoinGLAM report|AvoinGLAM report]]: Connecting Media Art Archives
* [[outreach:GLAM/Newsletter/February 2025/Contents/Memory of the World report|Memory of the World report]]: 5.1 million image views
* [[outreach:GLAM/Newsletter/February 2025/Contents/Wikidata report|Wikidata report]]: Wikidata event: Data Reuse Days 2025
* [[outreach:GLAM/Newsletter/February 2025/Contents/Wikisource report|Wikisource report]]: Wikisource Conference 2025
* [[outreach:GLAM/Newsletter/February 2025/Contents/Wikimedia and Libraries User Group report|Wikimedia and Libraries User Group report]]: Wikimedia + Libraries International Convention 2025
* [[outreach:GLAM/Newsletter/February 2025/Contents/Events|Calendar]]: March's GLAM events

&lt;/div&gt;
|-
| style=&quot;font-family:Times New Roman; text-align:center; font-size:85%;&quot; | [[outreach:GLAM/Newsletter|Read this edition in full]] &amp;bull; [[outreach:GLAM/Newsletter/February 2025/Single|Single-page]]
|-
| valign=&quot;top&quot; colspan=&quot;2&quot; style=&quot;padding:0.5em; font-family:Times New Roman;text-align:center; font-size:85%;&quot; |
To assist with preparing the newsletter, please visit the [[outreach:GLAM/Newsletter/Newsroom|newsroom]]. Past editions may be viewed [[outreach:GLAM/Newsletter/Archives|here]].
|-
|}
|}
&lt;div style=&quot;margin-top:10px; font-size:90%; padding-left:5px; font-family:Georgia, Palatino, Palatino Linotype, Times, Times New Roman, serif;&quot;&gt;[[m:GLAM/Newsletter/About|About ''This Month in GLAM'']] · [[m:Global message delivery/Targets/GLAM|Subscribe/Unsubscribe]] · [[m:MassMessage|Global message delivery]] · [[:m:User:Romaine|Romaine]] 16:51, 10 March 2025 (UTC)&lt;/div&gt;
&lt;!-- Message sent by User:Romaine@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/GLAM&amp;oldid=28357408 --&gt;

== ''This Month in GLAM'': March 2025 ==

{| style=&quot;width:100%;&quot;
| valign=&quot;top&quot; align=&quot;center&quot; style=&quot;border:1px gray solid; padding:1em;&quot; |
{| align=&quot;center&quot;
|-
| style=&quot;text-align: center;&quot; | [[File:This Month in GLAM logo 2018.png|350px|center|link=outreach:GLAM/Newsletter]]&lt;br /&gt;
&lt;hr /&gt;
&lt;div style=&quot;font-size:12pt; font-family:Times New Roman; text-align:center;&quot;&gt;[[outreach:GLAM/Newsletter/March 2025|&lt;span style=&quot;color:darkslategray;&quot;&gt;This Month in GLAM – Volume XV, Issue III, March 2025&lt;/span&gt;]]&lt;/div&gt;
&lt;hr /&gt;&lt;br /&gt;

|- style=&quot;text-align: center;&quot;
| &lt;span style=&quot;font-size:12pt; font-family:Times New Roman;&quot;&gt; '''&lt;u&gt;Headlines&lt;/u&gt;'''&lt;/span&gt;
|- style=&quot;font-size:10pt; font-family:Times New Roman; text-align:center;&quot;
| &lt;div style=&quot;text-align:left; column-count:2; column-width:28em; vertical-align:top;&quot;&gt;

* [[outreach:GLAM/Newsletter/March 2025/Contents/Albania report|Albania report]]: WikiGap in Albania 2025, and essential initiatives for free knowledge
* [[outreach:GLAM/Newsletter/March 2025/Contents/Argentina report|Argentina report]]: Archives and Human Rights activities
* [[outreach:GLAM/Newsletter/March 2025/Contents/Belgium report|Belgium report]]: International Women's Day, Wikipedia officially recognised as Digital Public Good and invitation for the General Assembly
* [[outreach:GLAM/Newsletter/March 2025/Contents/Brazil report|Brazil report]]: Every Book Its Reader is coming
* [[outreach:GLAM/Newsletter/March 2025/Contents/Czech Republic report|Czech Republic report]]: New Horizons of Czech GLAM Partnerships in 2025
* [[outreach:GLAM/Newsletter/March 2025/Contents/France report|France report]]: Archivist Forum 2025
* [[outreach:GLAM/Newsletter/March 2025/Contents/Italy report|Italy report]]: Ten winners of Wikimedia Italia 2025 GLAM call
* [[outreach:GLAM/Newsletter/March 2025/Contents/Netherlands report|Netherlands report]]: International Womensday; New Wikimedian in Residence at Maastricht University
* [[outreach:GLAM/Newsletter/March 2025/Contents/New Zealand report|New Zealand report]]: What's on at Auckland Museum, and International Women's Day at University of Otago 
* [[outreach:GLAM/Newsletter/March 2025/Contents/Nigeria report|Nigeria report]]: GLAM in Africa, a Nigerian narrative in knowledge decolonization a case study of Benin City
* [[outreach:GLAM/Newsletter/March 2025/Contents/Poland report|Poland report]]: What's up in GLAM in Poland
* [[outreach:GLAM/Newsletter/March 2025/Contents/Switzerland report|Switzerland report]]: Switzerland report
* [[outreach:GLAM/Newsletter/March 2025/Contents/UK report|UK report]]: Gold in Bengali and Diversity in Arabic
* [[outreach:GLAM/Newsletter/March 2025/Contents/USA report|USA report]]: Women's History month
* [[outreach:GLAM/Newsletter/March 2025/Contents/Biodiversity Heritage Library report|Biodiversity Heritage Library report]]: BHL-Wiki Working Group March monthly highlights
* [[outreach:GLAM/Newsletter/March 2025/Contents/Memory of the World report|Memory of the World report]]: Manuscripts of Mali
* [[outreach:GLAM/Newsletter/March 2025/Contents/Structured Data on Wikimedia Commons report|Structured Data on Wikimedia Commons report]]: Creating an OpenRefine Wikimedia Group
* [[outreach:GLAM/Newsletter/March 2025/Contents/Events|Calendar]]: April's GLAM events

&lt;/div&gt;
|-
| style=&quot;font-family:Times New Roman; text-align:center; font-size:85%;&quot; | [[outreach:GLAM/Newsletter|Read this edition in full]] &amp;bull; [[outreach:GLAM/Newsletter/March 2025/Single|Single-page]]
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| valign=&quot;top&quot; colspan=&quot;2&quot; style=&quot;padding:0.5em; font-family:Times New Roman;text-align:center; font-size:85%;&quot; |
To assist with preparing the newsletter, please visit the [[outreach:GLAM/Newsletter/Newsroom|newsroom]]. Past editions may be viewed [[outreach:GLAM/Newsletter/Archives|here]].
|-
|}
|}
&lt;div style=&quot;margin-top:10px; font-size:90%; padding-left:5px; font-family:Georgia, Palatino, Palatino Linotype, Times, Times New Roman, serif;&quot;&gt;[[m:GLAM/Newsletter/About|About ''This Month in GLAM'']] · [[m:Global message delivery/Targets/GLAM|Subscribe/Unsubscribe]] · [[m:MassMessage|Global message delivery]] · [[:m:User:Romaine|Romaine]] 09:00, 9 April 2025 (UTC)&lt;/div&gt;
&lt;!-- Message sent by User:Romaine@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/GLAM&amp;oldid=28408819 --&gt;

== ''This Month in GLAM'': April 2025 ==

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&lt;div style=&quot;font-size:12pt; font-family:Times New Roman; text-align:center;&quot;&gt;[[outreach:GLAM/Newsletter/April 2025|&lt;span style=&quot;color:darkslategray;&quot;&gt;This Month in GLAM – Volume XV, Issue IV, April 2025&lt;/span&gt;]]&lt;/div&gt;
&lt;hr /&gt;&lt;br /&gt;

|- style=&quot;text-align: center;&quot;
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* [[outreach:GLAM/Newsletter/April 2025/Contents/Albania report|Albania report]]: Wikipedia Event for International Roma Day 2025
* [[outreach:GLAM/Newsletter/April 2025/Contents/Australia report|Australia report]]: Highlighting Feminist and women's histories and a Wiki Day at the South Australian Museum
* [[outreach:GLAM/Newsletter/April 2025/Contents/Catalan areas report|Catalan areas report]]: Campaign to document the 2025 Falla monuments in Valencia
* [[outreach:GLAM/Newsletter/April 2025/Contents/Italy report|Italy report]]: Wikidata and Research
* [[outreach:GLAM/Newsletter/April 2025/Contents/Netherlands report|Netherlands report]]: Open Collection Highlights
* [[outreach:GLAM/Newsletter/April 2025/Contents/New Zealand report|New Zealand report]]: Women in Architecture, BHL, and the Commons Workflow
* [[outreach:GLAM/Newsletter/April 2025/Contents/Nigeria report|Nigeria report]]: Strengthening Cultural Heritage through Partnerships and Knowledge Sharing: Insights from World Heritage Day in Nigeria
* [[outreach:GLAM/Newsletter/April 2025/Contents/Macedonia report|North Macedonia report]]: Wikimedia MKD's new GLAM collaborations and activities 
* [[outreach:GLAM/Newsletter/April 2025/Contents/Poland report|Poland report]]: What's up in GLAM in Poland
* [[outreach:GLAM/Newsletter/April 2025/Contents/Portugal report|Portugal report]]: Scholarships and Call for Sessions Proposals for GLAM Wiki 2025 will open soon: Stay tuned!
* [[outreach:GLAM/Newsletter/April 2025/Contents/Serbia report|Serbia report]]: GLAM Highlights from Serbia
* [[outreach:GLAM/Newsletter/April 2025/Contents/Switzerland report|Switzerland report]]: FemNetzCon 2025; GLAM Meeting Biel/Bienne; Digi Archive
* [[outreach:GLAM/Newsletter/April 2025/Contents/UK report|UK report]]: Mapping Museums / Art in Arabic
* [[outreach:GLAM/Newsletter/April 2025/Contents/USA report|USA report]]: April meetings
* [[outreach:GLAM/Newsletter/April 2025/Contents/Biodiversity Heritage Library report|Biodiversity Heritage Library report]]: BHL-Wiki Working Group April monthly highlights
* [[outreach:GLAM/Newsletter/April 2025/Contents/Memory of the World report|Memory of the World report]]: Surging forward in Spanish and Arabic
* [[outreach:GLAM/Newsletter/April 2025/Contents/Events|Calendar]]: May's GLAM events

&lt;/div&gt;
|-
| style=&quot;font-family:Times New Roman; text-align:center; font-size:85%;&quot; | [[outreach:GLAM/Newsletter|Read this edition in full]] &amp;bull; [[outreach:GLAM/Newsletter/April 2025/Single|Single-page]]
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To assist with preparing the newsletter, please visit the [[outreach:GLAM/Newsletter/Newsroom|newsroom]]. Past editions may be viewed [[outreach:GLAM/Newsletter/Archives|here]].
|-
|}
|}
&lt;div style=&quot;margin-top:10px; font-size:90%; padding-left:5px; font-family:Georgia, Palatino, Palatino Linotype, Times, Times New Roman, serif;&quot;&gt;[[m:GLAM/Newsletter/About|About ''This Month in GLAM'']] · [[m:Global message delivery/Targets/GLAM|Subscribe/Unsubscribe]] · [[m:MassMessage|Global message delivery]] · [[:m:User:Romaine|Romaine]] 20:53, 11 May 2025 (UTC)&lt;/div&gt;
&lt;!-- Message sent by User:Romaine@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/GLAM&amp;oldid=28668932 --&gt;

== ''This Month in GLAM'': May 2025 ==

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| style=&quot;text-align: center;&quot; | [[File:This Month in GLAM logo 2018.png|350px|center|link=outreach:GLAM/Newsletter]]&lt;br /&gt;
&lt;hr /&gt;
&lt;div style=&quot;font-size:12pt; font-family:Times New Roman; text-align:center;&quot;&gt;[[outreach:GLAM/Newsletter/May 2025|&lt;span style=&quot;color:darkslategray;&quot;&gt;This Month in GLAM – Volume XV, Issue V, May 2025&lt;/span&gt;]]&lt;/div&gt;
&lt;hr /&gt;&lt;br /&gt;

|- style=&quot;text-align: center;&quot;
| &lt;span style=&quot;font-size:12pt; font-family:Times New Roman;&quot;&gt; '''&lt;u&gt;Headlines&lt;/u&gt;'''&lt;/span&gt;
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| &lt;div style=&quot;text-align:left; column-count:2; column-width:28em; vertical-align:top;&quot;&gt;

* [[outreach:GLAM/Newsletter/May 2025/Contents/Albania report|Albania report]]: Enhancing the LGBTQ+ content in Albanian Wikipedia
* [[outreach:GLAM/Newsletter/May 2025/Contents/Belgium report|Belgium report]]: Belgium Public Domain Day and Dance Heritage
* [[outreach:GLAM/Newsletter/May 2025/Contents/Brazil report|Brazil report]]: Video resource on Wikimedia Brasil and Casa de Oswaldo Cruz Partnership Released
* [[outreach:GLAM/Newsletter/May 2025/Contents/Croatia report|Croatia report]]: SPRINGing back activities
* [[outreach:GLAM/Newsletter/May 2025/Contents/Czech Republic report|Czech Republic report]]: National Library of the CR events and important guests
* [[outreach:GLAM/Newsletter/May 2025/Contents/Europe report|Europe report]]: DARIAH DHwiki WG coming activity 
* [[outreach:GLAM/Newsletter/May 2025/Contents/India report|India report]]: GLAM project starts with Nanda Talukdar Foundation at Jorhat, Assam
* [[outreach:GLAM/Newsletter/May 2025/Contents/Indonesia report|Indonesia report]]: GLAM Wiki Month 2025 in Indonesia
* [[outreach:GLAM/Newsletter/May 2025/Contents/Italy report|Italy report]]: From charts to concrete
* [[outreach:GLAM/Newsletter/May 2025/Contents/Kosovo report|Kosovo report]]: Traditional Albanian Food Photography Competition 2025
* [[outreach:GLAM/Newsletter/May 2025/Contents/New Zealand report|New Zealand report]]: Update from Auckland Museum; Let the Wikifying Commence; Listful Thinking 
* [[outreach:GLAM/Newsletter/May 2025/Contents/Nigeria report|Nigeria report]]: Architectural Folklore Campaign Series
* [[outreach:GLAM/Newsletter/May 2025/Contents/Poland report|Poland report]]: What's up in GLAM in Poland
* [[outreach:GLAM/Newsletter/May 2025/Contents/Serbia report|Serbia report]]: Celebrating Museums and strengthening #1Lib1Ref connections
* [[outreach:GLAM/Newsletter/May 2025/Contents/Spain report|Spain report]]: Some news from Spain
* [[outreach:GLAM/Newsletter/May 2025/Contents/Switzerland report|Switzerland report]]: International Museum Day 2025; CoCreation PTT-Archive; Scoring Girls
* [[outreach:GLAM/Newsletter/May 2025/Contents/UK report|UK report]]: The 18th language
* [[outreach:GLAM/Newsletter/May 2025/Contents/Ukraine report|Ukraine report]]: Spring GLAM news from Ukraine – first major survey for GLAM institutions &amp; yet another successful #1Lib1Ref
* [[outreach:GLAM/Newsletter/May 2025/Contents/USA report|USA report]]: May meetings
* [[outreach:GLAM/Newsletter/May 2025/Contents/Biodiversity Heritage Library report|Biodiversity Heritage Library report]]: BHL-Wiki Working Group May monthly highlights
* [[outreach:GLAM/Newsletter/May 2025/Contents/Memory of the World report|Memory of the World report]]: Preparing the data upload
* [[outreach:GLAM/Newsletter/May 2025/Contents/Events|Calendar]]: June's GLAM events

&lt;/div&gt;
|-
| style=&quot;font-family:Times New Roman; text-align:center; font-size:85%;&quot; | [[outreach:GLAM/Newsletter|Read this edition in full]] &amp;bull; [[outreach:GLAM/Newsletter/May 2025/Single|Single-page]]
|-
| valign=&quot;top&quot; colspan=&quot;2&quot; style=&quot;padding:0.5em; font-family:Times New Roman;text-align:center; font-size:85%;&quot; |
To assist with preparing the newsletter, please visit the [[outreach:GLAM/Newsletter/Newsroom|newsroom]]. Past editions may be viewed [[outreach:GLAM/Newsletter/Archives|here]].
|-
|}
|}
&lt;div style=&quot;margin-top:10px; font-size:90%; padding-left:5px; font-family:Georgia, Palatino, Palatino Linotype, Times, Times New Roman, serif;&quot;&gt;[[m:GLAM/Newsletter/About|About ''This Month in GLAM'']] · [[m:Global message delivery/Targets/GLAM|Subscribe/Unsubscribe]] · [[m:MassMessage|Global message delivery]] · [[:m:User:Romaine|Romaine]] 06:00, 10 June 2025 (UTC)&lt;/div&gt;
&lt;!-- Message sent by User:Romaine@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/GLAM&amp;oldid=28809506 --&gt;

== ''This Month in GLAM'': June 2025 ==

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&lt;hr /&gt;
&lt;div style=&quot;font-size:12pt; font-family:Times New Roman; text-align:center;&quot;&gt;[[outreach:GLAM/Newsletter/June 2025|&lt;span style=&quot;color:darkslategray;&quot;&gt;This Month in GLAM – Volume XV, Issue VI, June 2025&lt;/span&gt;]]&lt;/div&gt;
&lt;hr /&gt;&lt;br /&gt;

|- style=&quot;text-align: center;&quot;
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| &lt;div style=&quot;text-align:left; column-count:2; column-width:28em; vertical-align:top;&quot;&gt;

* [[outreach:GLAM/Newsletter/June 2025/Contents/Australia report|Australia report]]: Celebrating Communication History and Women Artists through Wikipedia
* [[outreach:GLAM/Newsletter/June 2025/Contents/Belgium report|Belgium report]]: Public Domain Day in Europe 2026
* [[outreach:GLAM/Newsletter/June 2025/Contents/Brazil report|Brazil report]]: Expanding Data on Maranhão's Heritage
* [[outreach:GLAM/Newsletter/June 2025/Contents/Czech Republic report|Czech Republic report]]: First call of Science Month at Wikipedia in the Czech Republic wrapped-up
* [[outreach:GLAM/Newsletter/June 2025/Contents/France report|France report]]: WiR and science&amp;GLAM tour in France
* [[outreach:GLAM/Newsletter/June 2025/Contents/Indonesia report|Indonesia report]]: Another publication from Grant for GLAM Indonesia program &amp; Minangkabau Wikisource Competition upadates 
* [[outreach:GLAM/Newsletter/June 2025/Contents/Italy report|Italy report]]: Isoseismals &amp; Icons
* [[outreach:GLAM/Newsletter/June 2025/Contents/Kosovo report|Kosovo report]]: Celebrating Albanian Cuisine Through Photography: Winners of the 2025 Contest Announced!
* [[outreach:GLAM/Newsletter/June 2025/Contents/Mexico report|Mexico report]]: Open Cultural Data Hackathon in Puebla
* [[outreach:GLAM/Newsletter/June 2025/Contents/New Zealand report|New Zealand report]]: Wikifying the International Congress of History of Science and Technology; Librarians and Wikipedia; NZ species edit-a-thons
* [[outreach:GLAM/Newsletter/June 2025/Contents/Nigeria report|Nigeria report]]: Mapping Heritage Buildings on Wikidata and Wiki Heritage Fellowship
* [[outreach:GLAM/Newsletter/June 2025/Contents/Macedonia report|North Macedonia report]]: Wikimedia MKD Strengthens Ties with Academic Institutions: A Wikimedian-in-Residence at the Institute of Macedonian Literature 
* [[outreach:GLAM/Newsletter/June 2025/Contents/Poland report|Poland report]]: What's up in GLAM in Poland
* [[outreach:GLAM/Newsletter/June 2025/Contents/Portugal report|Portugal report]]: Registration is now open for GLAM WikiCon 2025!
* [[outreach:GLAM/Newsletter/June 2025/Contents/Serbia report|Serbia report]]: June highlights from Wikimedia Serbia and beginning of new accredited seminar
* [[outreach:GLAM/Newsletter/June 2025/Contents/Switzerland report|Switzerland report]]: International Archives Week 2025; SAPA Performing Arts; GLAM Meeting Biel/Bienne
* [[outreach:GLAM/Newsletter/June 2025/Contents/UK report|UK report]]: New Featured Pictures
* [[outreach:GLAM/Newsletter/June 2025/Contents/USA report|USA report]]: June meetings
* [[outreach:GLAM/Newsletter/June 2025/Contents/Biodiversity Heritage Library report|Biodiversity Heritage Library report]]: BHL Transition update, LivingData2025 and Women Genera paper
* [[outreach:GLAM/Newsletter/June 2025/Contents/Memory of the World report|Memory of the World report]]: Data upload achieved
* [[outreach:GLAM/Newsletter/June 2025/Contents/Wiki Knowledge Park report|Wiki Loves Ramadan 2025 report]]: Celebrating Heritage and Faith: Wiki Loves Ramadan 2025
* [[outreach:GLAM/Newsletter/June 2025/Contents/Events|Calendar]]: July's GLAM events

&lt;/div&gt;
|-
| style=&quot;font-family:Times New Roman; text-align:center; font-size:85%;&quot; | [[outreach:GLAM/Newsletter|Read this edition in full]] &amp;bull; [[outreach:GLAM/Newsletter/June 2025/Single|Single-page]]
|-
| valign=&quot;top&quot; colspan=&quot;2&quot; style=&quot;padding:0.5em; font-family:Times New Roman;text-align:center; font-size:85%;&quot; |
To assist with preparing the newsletter, please visit the [[outreach:GLAM/Newsletter/Newsroom|newsroom]]. Past editions may be viewed [[outreach:GLAM/Newsletter/Archives|here]].
|-
|}
|}
&lt;div style=&quot;margin-top:10px; font-size:90%; padding-left:5px; font-family:Georgia, Palatino, Palatino Linotype, Times, Times New Roman, serif;&quot;&gt;[[m:GLAM/Newsletter/About|About ''This Month in GLAM'']] · [[m:Global message delivery/Targets/GLAM|Subscribe/Unsubscribe]] · [[m:MassMessage|Global message delivery]] · [[:m:User:Romaine|Romaine]] 15:34, 12 July 2025 (UTC)&lt;/div&gt;
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== ''This Month in GLAM'': July 2025 ==

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| style=&quot;text-align: center;&quot; | [[File:This Month in GLAM logo 2018.png|350px|center|link=outreach:GLAM/Newsletter]]&lt;br /&gt;
&lt;hr /&gt;
&lt;div style=&quot;font-size:12pt; font-family:Times New Roman; text-align:center;&quot;&gt;[[outreach:GLAM/Newsletter/July 2025|&lt;span style=&quot;color:darkslategray;&quot;&gt;This Month in GLAM – Volume XV, Issue VII, July 2025&lt;/span&gt;]]&lt;/div&gt;
&lt;hr /&gt;&lt;br /&gt;

|- style=&quot;text-align: center;&quot;
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* [[outreach:GLAM/Newsletter/July 2025/Contents/Albania report|Albania report]]: 10 years of Wikimedians of Albanian Language User Group
* [[outreach:GLAM/Newsletter/July 2025/Contents/Aruba report|Aruba report]]: Wikipedia on Aruba – From Island to Archive: Aruba’s Journey on Wikimedia
* [[outreach:GLAM/Newsletter/July 2025/Contents/Belgium report|Belgium report]]: De Standaard Solidarity Prize and How to Upload Artwork
* [[outreach:GLAM/Newsletter/July 2025/Contents/New Zealand report|New Zealand report]]: Women in Wartime
* [[outreach:GLAM/Newsletter/July 2025/Contents/Nigeria report|Nigeria report]]: Expanding Access to Heritage Knowledge
* [[outreach:GLAM/Newsletter/July 2025/Contents/Portugal report|Portugal report]]: GLAM Wiki 2025: Program Highlights &amp; Volunteer Call
* [[outreach:GLAM/Newsletter/July 2025/Contents/Serbia report|Serbia report]]: July in Wikimedia Serbia
* [[outreach:GLAM/Newsletter/July 2025/Contents/Switzerland report|Switzerland report]]: Poster Exhibition, Screening Public Viewing, Women Memorials 
* [[outreach:GLAM/Newsletter/July 2025/Contents/UK report|UK report]]: Japanese art in Arabic
* [[outreach:GLAM/Newsletter/July 2025/Contents/USA report|USA report]]: Wikinics &amp; Edit-a-thons
* [[outreach:GLAM/Newsletter/July 2025/Contents/Biodiversity Heritage Library report|Biodiversity Heritage Library report]]: BHL blog by Tiago Lubiana, BHL Wikimedian in Residence, and news on the BHL transition
* [[outreach:GLAM/Newsletter/July 2025/Contents/AvoinGLAM report|AvoinGLAM report]]: Introducing Oulu Löyly – we want to hear your thoughts!
* [[outreach:GLAM/Newsletter/July 2025/Contents/Memory of the World report|Memory of the World report]]: Getting the message out
* [[outreach:GLAM/Newsletter/July 2025/Contents/WMF GLAM report|WMF GLAM report]]: Culture &amp; Heritage team transitioning to broader Content Enablement team
* [[outreach:GLAM/Newsletter/July 2025/Contents/Events|Calendar]]: August's GLAM events

&lt;/div&gt;
|-
| style=&quot;font-family:Times New Roman; text-align:center; font-size:85%;&quot; | [[outreach:GLAM/Newsletter|Read this edition in full]] &amp;bull; [[outreach:GLAM/Newsletter/July 2025/Single|Single-page]]
|-
| valign=&quot;top&quot; colspan=&quot;2&quot; style=&quot;padding:0.5em; font-family:Times New Roman;text-align:center; font-size:85%;&quot; |
To assist with preparing the newsletter, please visit the [[outreach:GLAM/Newsletter/Newsroom|newsroom]]. Past editions may be viewed [[outreach:GLAM/Newsletter/Archives|here]].
|-
|}
|}
&lt;div style=&quot;margin-top:10px; font-size:90%; padding-left:5px; font-family:Georgia, Palatino, Palatino Linotype, Times, Times New Roman, serif;&quot;&gt;[[m:GLAM/Newsletter/About|About ''This Month in GLAM'']] · [[m:Global message delivery/Targets/GLAM|Subscribe/Unsubscribe]] · [[m:MassMessage|Global message delivery]] · [[:m:User:Romaine|Romaine]] 19:58, 11 August 2025 (UTC)&lt;/div&gt;
&lt;!-- Message sent by User:Romaine@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/GLAM&amp;oldid=29083949 --&gt;

== ''This Month in GLAM'': August 2025 ==

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| style=&quot;text-align: center;&quot; | [[File:This Month in GLAM logo 2018.png|350px|center|link=outreach:GLAM/Newsletter]]&lt;br /&gt;
&lt;hr /&gt;
&lt;div style=&quot;font-size:12pt; font-family:Times New Roman; text-align:center;&quot;&gt;[[outreach:GLAM/Newsletter/August 2025|&lt;span style=&quot;color:darkslategray;&quot;&gt;This Month in GLAM – Volume XV, Issue VIII, August 2025&lt;/span&gt;]]&lt;/div&gt;
&lt;hr /&gt;&lt;br /&gt;

|- style=&quot;text-align: center;&quot;
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* [[outreach:GLAM/Newsletter/August 2025/Contents/Albania report|Albania report]]: Wikipedia Pages Wanting Photos campaign 2025 in Albania and Kosovo 
* [[outreach:GLAM/Newsletter/August 2025/Contents/Brazil report|Brazil report]]: Expanding Cultural Heritage in Brazil: School communities, Wikisource course, GLAM-Wiki Impact and Wiki Takes Alcântara
* [[outreach:GLAM/Newsletter/August 2025/Contents/India report|India report]]: Digitization starts at two more libraries in West Bengal
* [[outreach:GLAM/Newsletter/August 2025/Contents/Indonesia report|Indonesia report]]: Grant for GLAM Indonesia is open!
* [[outreach:GLAM/Newsletter/August 2025/Contents/Italy report|Italy report]]: From food festivals to PhD courses: Wikimedia in Italian academia
* [[outreach:GLAM/Newsletter/August 2025/Contents/New Zealand report|New Zealand report]]: NZ species edit-a-thons, a scholarly article, a course, and Auckland Museum editors at Wikimania
* [[outreach:GLAM/Newsletter/August 2025/Contents/Nigeria report|Nigeria report]]: Highlights from Wiki Heritage Fellowship and Policy Advocacy in Nigeria
* [[outreach:GLAM/Newsletter/August 2025/Contents/Macedonia report|North Macedonia report]]: Wiki Loves Film – Collaboration with MakeDox Film Festival
* [[outreach:GLAM/Newsletter/August 2025/Contents/Poland report|Poland report]]: WikiChełmoński: When Wikipedia Becomes a Guide in the Museum
* [[outreach:GLAM/Newsletter/August 2025/Contents/Switzerland report|Switzerland report]]: BAM Hackathon, 3D for Cultural Heritage, Wiki Cite 
* [[outreach:GLAM/Newsletter/August 2025/Contents/UK report|UK report]]: Working towards more image sharing
* [[outreach:GLAM/Newsletter/August 2025/Contents/USA report|USA report]]: Wiknics
* [[outreach:GLAM/Newsletter/August 2025/Contents/Biodiversity Heritage Library report|Biodiversity Heritage Library report]]: News on BHL transition and updates on work by BHLWiki Working Group members
* [[outreach:GLAM/Newsletter/August 2025/Contents/AvoinGLAM report|AvoinGLAM report]]: Steps towards a sustainable cultural commons
* [[outreach:GLAM/Newsletter/August 2025/Contents/Memory of the World report|Memory of the World report]]: A pivotal month
* [[outreach:GLAM/Newsletter/August 2025/Contents/Wikisource report|Wikisource report]]: Wikisource Reader app released on Google Play Store
* [[outreach:GLAM/Newsletter/August 2025/Contents/Events|Calendar]]: September's GLAM events

&lt;/div&gt;
|-
| style=&quot;font-family:Times New Roman; text-align:center; font-size:85%;&quot; | [[outreach:GLAM/Newsletter|Read this edition in full]] &amp;bull; [[outreach:GLAM/Newsletter/August 2025/Single|Single-page]]
|-
| valign=&quot;top&quot; colspan=&quot;2&quot; style=&quot;padding:0.5em; font-family:Times New Roman;text-align:center; font-size:85%;&quot; |
To assist with preparing the newsletter, please visit the [[outreach:GLAM/Newsletter/Newsroom|newsroom]]. Past editions may be viewed [[outreach:GLAM/Newsletter/Archives|here]].
|-
|}
|}
&lt;div style=&quot;margin-top:10px; font-size:90%; padding-left:5px; font-family:Georgia, Palatino, Palatino Linotype, Times, Times New Roman, serif;&quot;&gt;[[m:GLAM/Newsletter/About|About ''This Month in GLAM'']] · [[m:Global message delivery/Targets/GLAM|Subscribe/Unsubscribe]] · [[m:MassMessage|Global message delivery]] · [[:m:User:Romaine|Romaine]] 18:24, 11 September 2025 (UTC)&lt;/div&gt;
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== ''This Month in GLAM'': September 2025 ==

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&lt;hr /&gt;
&lt;div style=&quot;font-size:12pt; font-family:Times New Roman; text-align:center;&quot;&gt;[[outreach:GLAM/Newsletter/September 2025|&lt;span style=&quot;color:darkslategray;&quot;&gt;This Month in GLAM – Volume XV, Issue IX, September 2025&lt;/span&gt;]]&lt;/div&gt;
&lt;hr /&gt;&lt;br /&gt;

|- style=&quot;text-align: center;&quot;
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* [[outreach:GLAM/Newsletter/September 2025/Contents/Albania report|Albania report]]: Wikipedia edit-a-thon at the Skampa Theater in Elbasan, Albania 
* [[outreach:GLAM/Newsletter/September 2025/Contents/Aruba report|Aruba report]]: Wikipedia on Aruba Initiative: Building Knowledge and Visibility 
* [[outreach:GLAM/Newsletter/September 2025/Contents/Australia report|Australia report]]: State Library Victoria WikiFest
* [[outreach:GLAM/Newsletter/September 2025/Contents/Belgium report|Belgium report]]: Make cultural heritage freely accessible, Hasselt's collections shine online &amp; Let's give women a voice on Wikipedia!
* [[outreach:GLAM/Newsletter/September 2025/Contents/Italy report|Italy report]]: Hidden heritage unveiled: science, history and nature on Wikimedia
* [[outreach:GLAM/Newsletter/September 2025/Contents/Netherlands report|Netherlands report]]: Wikimedia Commons birthday content donation
* [[outreach:GLAM/Newsletter/September 2025/Contents/New Zealand report|New Zealand report]]: Wikimedian in Residence at the Bioeconomy Science Institute &amp; Wikiproject NZ Women in Architecture
* [[outreach:GLAM/Newsletter/September 2025/Contents/Macedonia report|North Macedonia report]]: Expanding Access to Culture and Knowledge through Key Partnerships
* [[outreach:GLAM/Newsletter/September 2025/Contents/Poland report|Poland report]]: WikiChełmoński: the Special Guided Tour at the National Museum in Krakow
* [[outreach:GLAM/Newsletter/September 2025/Contents/Portugal report|Portugal report]]: GLAM Wiki 2025: Join the Conference Online and Explore Lisbon’s Culture
* [[outreach:GLAM/Newsletter/September 2025/Contents/Switzerland report|Switzerland report]]: LibreABC, Feminist Voices, Grade Conference
* [[outreach:GLAM/Newsletter/September 2025/Contents/UK report|UK report]]: Awards season
* [[outreach:GLAM/Newsletter/September 2025/Contents/USA report|USA report]]: September edit-a-thons &amp; meetings
* [[outreach:GLAM/Newsletter/September 2025/Contents/Biodiversity Heritage Library report|Biodiversity Heritage Library report]]: Updates on work by BHLWiki Working Group members
* [[outreach:GLAM/Newsletter/September 2025/Contents/Memory of the World report|Memory of the World report]]: The Memory of the World wiki challenge
* [[outreach:GLAM/Newsletter/September 2025/Contents/Events|Calendar]]: October's GLAM events

&lt;/div&gt;
|-
| style=&quot;font-family:Times New Roman; text-align:center; font-size:85%;&quot; | [[outreach:GLAM/Newsletter|Read this edition in full]] &amp;bull; [[outreach:GLAM/Newsletter/September 2025/Single|Single-page]]
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| valign=&quot;top&quot; colspan=&quot;2&quot; style=&quot;padding:0.5em; font-family:Times New Roman;text-align:center; font-size:85%;&quot; |
To assist with preparing the newsletter, please visit the [[outreach:GLAM/Newsletter/Newsroom|newsroom]]. Past editions may be viewed [[outreach:GLAM/Newsletter/Archives|here]].
|-
|}
|}
&lt;div style=&quot;margin-top:10px; font-size:90%; padding-left:5px; font-family:Georgia, Palatino, Palatino Linotype, Times, Times New Roman, serif;&quot;&gt;[[m:GLAM/Newsletter/About|About ''This Month in GLAM'']] · [[m:Global message delivery/Targets/GLAM|Subscribe/Unsubscribe]] · [[m:MassMessage|Global message delivery]] · [[:m:User:Romaine|Romaine]] 12:45, 9 October 2025 (UTC)&lt;/div&gt;
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== ''This Month in GLAM'': October 2025 ==

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&lt;div style=&quot;font-size:12pt; font-family:Times New Roman; text-align:center;&quot;&gt;[[outreach:GLAM/Newsletter/October 2025|&lt;span style=&quot;color:darkslategray;&quot;&gt;This Month in GLAM – Volume XV, Issue X, October 2025&lt;/span&gt;]]&lt;/div&gt;
&lt;hr /&gt;&lt;br /&gt;

|- style=&quot;text-align: center;&quot;
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* [[outreach:GLAM/Newsletter/October 2025/Contents/Belgium report|Belgium report]]: From a small language to Wikipedia's Biggest, Share Your Story with the Industry Museum and War Diaries
* [[outreach:GLAM/Newsletter/October 2025/Contents/Croatia report|Croatia report]]: Autumn activities
* [[outreach:GLAM/Newsletter/October 2025/Contents/Indonesia report|Indonesia report]]: WikiCommon community meet-ups, Wikisource trainings, and the announcement of Grant for GLAM Indonesia
* [[outreach:GLAM/Newsletter/October 2025/Contents/Italy report|Italy report]]: Open culture on stage
* [[outreach:GLAM/Newsletter/October 2025/Contents/Mexico report|Mexico report]]: How Wikimedia México is training cultural and government institutions as wikimedians.
* [[outreach:GLAM/Newsletter/October 2025/Contents/Netherlands report|Netherlands report]]: Open Topstukken project concludes; Network Archives Design and Digital Culture
* [[outreach:GLAM/Newsletter/October 2025/Contents/New Zealand report|New Zealand report]]: Granny's Wonderful Chair, Preparing for Auckland Museum Wiki Summer Students and an the ASBS Introductory Wiki Webinar
* [[outreach:GLAM/Newsletter/October 2025/Contents/Nigeria report|Nigeria report]]: Report on Participation at the 12th International Youth Conference
* [[outreach:GLAM/Newsletter/October 2025/Contents/Poland report|Poland report]]: Promoting Open Data and Digital Commons in Culture and Research
* [[outreach:GLAM/Newsletter/October 2025/Contents/Portugal report|Portugal report]]: GLAM Wiki Conference 2025 Wrap-Up
* [[outreach:GLAM/Newsletter/October 2025/Contents/Serbia report|Serbia report]]: October in Wikimedia Serbia
* [[outreach:GLAM/Newsletter/October 2025/Contents/Switzerland report|Switzerland report]]: DaSCHcon, 3D, Wiki GLAM conference
* [[outreach:GLAM/Newsletter/October 2025/Contents/UK report|UK report]]: A look at Grokipedia
* [[outreach:GLAM/Newsletter/October 2025/Contents/USA report|USA report]]: October edit-a-thons &amp; meetings
* [[outreach:GLAM/Newsletter/October 2025/Contents/Biodiversity Heritage Library report|Biodiversity Heritage Library report]]: LivingData 2025, GLAMWiki and a &quot;collector&quot; Wikidata property proposal
* [[outreach:GLAM/Newsletter/October 2025/Contents/Memory of the World report|Memory of the World report]]: International outreach
* [[outreach:GLAM/Newsletter/October 2025/Contents/Sustainable CultureConnect Project report|Sustainable CultureConnect Project report]]: Sustainable CultureConnect: Empowering Youth and Preserving Heritage through Open Knowledge and Leadership
* [[outreach:GLAM/Newsletter/October 2025/Contents/Events|Calendar]]: November's GLAM events

&lt;/div&gt;
|-
| style=&quot;font-family:Times New Roman; text-align:center; font-size:85%;&quot; | [[outreach:GLAM/Newsletter|Read this edition in full]] &amp;bull; [[outreach:GLAM/Newsletter/October 2025/Single|Single-page]]
|-
| valign=&quot;top&quot; colspan=&quot;2&quot; style=&quot;padding:0.5em; font-family:Times New Roman;text-align:center; font-size:85%;&quot; |
To assist with preparing the newsletter, please visit the [[outreach:GLAM/Newsletter/Newsroom|newsroom]]. Past editions may be viewed [[outreach:GLAM/Newsletter/Archives|here]].
|-
|}
|}
&lt;div style=&quot;margin-top:10px; font-size:90%; padding-left:5px; font-family:Georgia, Palatino, Palatino Linotype, Times, Times New Roman, serif;&quot;&gt;[[m:GLAM/Newsletter/About|About ''This Month in GLAM'']] · [[m:Global message delivery/Targets/GLAM|Subscribe/Unsubscribe]] · [[m:MassMessage|Global message delivery]] · [[:m:User:Romaine|Romaine]] 11:28, 10 November 2025 (UTC)&lt;/div&gt;
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== ''This Month in GLAM'': November 2025 ==

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&lt;hr /&gt;
&lt;div style=&quot;font-size:12pt; font-family:Times New Roman; text-align:center;&quot;&gt;[[outreach:GLAM/Newsletter/November 2025|&lt;span style=&quot;color:darkslategray;&quot;&gt;This Month in GLAM – Volume XV, Issue XI, November 2025&lt;/span&gt;]]&lt;/div&gt;
&lt;hr /&gt;&lt;br /&gt;

|- style=&quot;text-align: center;&quot;
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* [[outreach:GLAM/Newsletter/November 2025/Contents/Belgium report|Belgium report]]: Call for volunteers, Computer's Day and upcoming events
* [[outreach:GLAM/Newsletter/November 2025/Contents/Czech Republic report|Czech Republic report]]: Czech Radio and Wikimedia CZ launched cooperation
* [[outreach:GLAM/Newsletter/November 2025/Contents/Indonesia report|Indonesia report]]: Our Activities in November
* [[outreach:GLAM/Newsletter/November 2025/Contents/Italy report|Italy report]]: Wrap up of the 2025 GLAM call
* [[outreach:GLAM/Newsletter/November 2025/Contents/New Zealand report|New Zealand report]]: ASBS 2025 Conference, a NZBSI Wikimedian in Residence update &amp; Auckland Museum Summer Students 
* [[outreach:GLAM/Newsletter/November 2025/Contents/Macedonia report|North Macedonia report]]: Wikimedia MKD and Cultural Institutions: A Year of Growth, Content, and Collaboration
* [[outreach:GLAM/Newsletter/November 2025/Contents/Poland report|Poland report]]: GLAM Wiki 2025 conference, WiR Meeting and the First National Institute of Museums Training on GLAM–Wiki
* [[outreach:GLAM/Newsletter/November 2025/Contents/Switzerland report|Switzerland report]]: IT Wikicon, Faces and Masks, Matrimoine @ Genève
* [[outreach:GLAM/Newsletter/November 2025/Contents/UK report|UK report]]: Awards season- again!
* [[outreach:GLAM/Newsletter/November 2025/Contents/USA report|USA report]]: November edit-a-thons &amp; meetings
* [[outreach:GLAM/Newsletter/November 2025/Contents/Biodiversity Heritage Library report|Biodiversity Heritage Library report]]: Updates on work by BHLWiki Working Group members
* [[outreach:GLAM/Newsletter/November 2025/Contents/Content Partnerships Hub report|Content Partnerships Hub report]]: Here to Help: The Next Stage of the Content Partnerships Hub
* [[outreach:GLAM/Newsletter/November 2025/Contents/Memory of the World report|Memory of the World report]]: Enriching the data set
* [[outreach:GLAM/Newsletter/November 2025/Contents/Events|Calendar]]: December's GLAM events

&lt;/div&gt;
|-
| style=&quot;font-family:Times New Roman; text-align:center; font-size:85%;&quot; | [[outreach:GLAM/Newsletter|Read this edition in full]] &amp;bull; [[outreach:GLAM/Newsletter/November 2025/Single|Single-page]]
|-
| valign=&quot;top&quot; colspan=&quot;2&quot; style=&quot;padding:0.5em; font-family:Times New Roman;text-align:center; font-size:85%;&quot; |
To assist with preparing the newsletter, please visit the [[outreach:GLAM/Newsletter/Newsroom|newsroom]]. Past editions may be viewed [[outreach:GLAM/Newsletter/Archives|here]].
|-
|}
|}
&lt;div style=&quot;margin-top:10px; font-size:90%; padding-left:5px; font-family:Georgia, Palatino, Palatino Linotype, Times, Times New Roman, serif;&quot;&gt;[[m:GLAM/Newsletter/About|About ''This Month in GLAM'']] · [[m:Global message delivery/Targets/GLAM|Subscribe/Unsubscribe]] · [[m:MassMessage|Global message delivery]] · [[:m:User:Romaine|Romaine]] 04:21, 11 December 2025 (UTC)&lt;/div&gt;
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== ''This Month in GLAM'': December 2025 ==

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&lt;hr /&gt;
&lt;div style=&quot;font-size:12pt; font-family:Times New Roman; text-align:center;&quot;&gt;[[outreach:GLAM/Newsletter/December 2025|&lt;span style=&quot;color:darkslategray;&quot;&gt;This Month in GLAM – Volume XV, Issue XII, December 2025&lt;/span&gt;]]&lt;/div&gt;
&lt;hr /&gt;&lt;br /&gt;

|- style=&quot;text-align: center;&quot;
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* [[outreach:GLAM/Newsletter/December 2025/Contents/From the team|From the team]]: Global GLAM Calls Continue in 2026
* [[outreach:GLAM/Newsletter/December 2025/Contents/Albania report|Albania report]]: Wikimedian in Residence, 2025, in Elbasan Albania
* [[outreach:GLAM/Newsletter/December 2025/Contents/Argentina report|Argentina report]]: Resume of the year
* [[outreach:GLAM/Newsletter/December 2025/Contents/Australia report|Australia report]]: AMaGA partnership, signing the Open Heritage Statement and South Australian Museum Partner Project 
* [[outreach:GLAM/Newsletter/December 2025/Contents/Belgium report|Belgium report]]: Public Domain Day 2026, Circus Heritage and Fosdem
* [[outreach:GLAM/Newsletter/December 2025/Contents/Colombia report|Colombia report]]: Preparándonos para celebrar el día del dominio público - Getting ready for the Public Domain Day celebration
* [[outreach:GLAM/Newsletter/December 2025/Contents/Italy report|Italy report]]: Exploring Italy and Unlocking Its Heritage: Touring Club Italiano and GLAM Call 2026–2028
* [[outreach:GLAM/Newsletter/December 2025/Contents/New Zealand report|New Zealand report]]: ASBS 2025 Conference follow-up Wiki webinar &amp; Auckland Museum student update
* [[outreach:GLAM/Newsletter/December 2025/Contents/Poland report|Poland report]]: Public Domain, Conferences, and Conversations on Open Culture
* [[outreach:GLAM/Newsletter/December 2025/Contents/Switzerland report|Switzerland report]]: GLAM on Tour Bellinzona, Xmas Event, GLAM Wiki Group
* [[outreach:GLAM/Newsletter/December 2025/Contents/UK report|UK report]]: 2025 in review
* [[outreach:GLAM/Newsletter/December 2025/Contents/USA report|USA report]]: December meetings
* [[outreach:GLAM/Newsletter/December 2025/Contents/Public Domain Day report|Public Domain Day report]]: Public Domain Day 2026
* [[outreach:GLAM/Newsletter/December 2025/Contents/Biodiversity Heritage Library report|Biodiversity Heritage Library report]]: Updates on work by BHLWiki Working Group members
* [[outreach:GLAM/Newsletter/December 2025/Contents/Memory of the World report|Memory of the World report]]: 2025 in review
* [[outreach:GLAM/Newsletter/December 2025/Contents/Events|Calendar]]: January's GLAM events

&lt;/div&gt;
|-
| style=&quot;font-family:Times New Roman; text-align:center; font-size:85%;&quot; | [[outreach:GLAM/Newsletter|Read this edition in full]] &amp;bull; [[outreach:GLAM/Newsletter/December 2025/Single|Single-page]]
|-
| valign=&quot;top&quot; colspan=&quot;2&quot; style=&quot;padding:0.5em; font-family:Times New Roman;text-align:center; font-size:85%;&quot; |
To assist with preparing the newsletter, please visit the [[outreach:GLAM/Newsletter/Newsroom|newsroom]]. Past editions may be viewed [[outreach:GLAM/Newsletter/Archives|here]].
|-
|}
|}
&lt;div style=&quot;margin-top:10px; font-size:90%; padding-left:5px; font-family:Georgia, Palatino, Palatino Linotype, Times, Times New Roman, serif;&quot;&gt;[[m:GLAM/Newsletter/About|About ''This Month in GLAM'']] · [[m:Global message delivery/Targets/GLAM|Subscribe/Unsubscribe]] · [[m:MassMessage|Global message delivery]] · [[:m:User:Romaine|Romaine]] 12:57, 12 January 2026 (UTC)&lt;/div&gt;
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== ''This Month in GLAM'': January 2026 ==

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&lt;hr /&gt;
&lt;div style=&quot;font-size:12pt; font-family:Times New Roman; text-align:center;&quot;&gt;[[outreach:GLAM/Newsletter/January 2026|&lt;span style=&quot;color:darkslategray;&quot;&gt;This Month in GLAM – Volume XVI, Issue I, January 2026&lt;/span&gt;]]&lt;/div&gt;
&lt;hr /&gt;&lt;br /&gt;

|- style=&quot;text-align: center;&quot;
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* [[outreach:GLAM/Newsletter/January 2026/Contents/From the team|From the team]]: Wikipedia at 25
* [[outreach:GLAM/Newsletter/January 2026/Contents/Aruba report|Aruba report]]: Pap-Wikipedia Turns 20: A Milestone for Papiamento/u Knowledge
* [[outreach:GLAM/Newsletter/January 2026/Contents/Colombia report|Colombia report]]: Celebrando el día del dominio público 2026/Celebrating the public domain day 2026 
* [[outreach:GLAM/Newsletter/January 2026/Contents/France report|France report]]: Wikipedia's Birthday in France
* [[outreach:GLAM/Newsletter/January 2026/Contents/Germany report|Germany report]]: Gifted by our friends: Loads of presents for Wikipedia25 by German and Austrian GLAMs
* [[outreach:GLAM/Newsletter/January 2026/Contents/Indonesia report|Indonesia report]]: Activities in December-January
* [[outreach:GLAM/Newsletter/January 2026/Contents/Italy report|Italy report]]: Knowledge in action: Barindelli collection and Wikipedia 25
* [[outreach:GLAM/Newsletter/January 2026/Contents/Netherlands report|Netherlands report]]: Image donation Dutch Book History
* [[outreach:GLAM/Newsletter/January 2026/Contents/New Zealand report|New Zealand report]]: Auckland Museum Student Edit-a-thon, the NZBSI Wikimedian in Residence project, and other residencies
* [[outreach:GLAM/Newsletter/January 2026/Contents/Macedonia report|North Macedonia report]]: GLAM Program of Wikimedia MKD – 2026 Overview
* [[outreach:GLAM/Newsletter/January 2026/Contents/Poland report|Poland report]]: Explore Historic Portraits from the Museum of Photography in Kraków
* [[outreach:GLAM/Newsletter/January 2026/Contents/Serbia report|Serbia report]]: January in Wikimedia Serbia
* [[outreach:GLAM/Newsletter/January 2026/Contents/Switzerland report|Switzerland report]]: Museum in Chiasso, Alpine Museum, Women Monuments
* [[outreach:GLAM/Newsletter/January 2026/Contents/UK report|UK report]]: Sharing more of the Enamels of the World
* [[outreach:GLAM/Newsletter/January 2026/Contents/Biodiversity Heritage Library report|Biodiversity Heritage Library report]]: Updates on work by BHLWiki Working Group members
* [[outreach:GLAM/Newsletter/January 2026/Contents/Map the GLAM report|Map the GLAM report]]: Wiki and GLAM: Harnessing Knowledge to Foster Gender Equality
* [[outreach:GLAM/Newsletter/January 2026/Contents/Memory of the World report|Memory of the World report]]: Manuscripts on Arabic Wikipedia
* [[outreach:GLAM/Newsletter/January 2026/Contents/Wikidata report|Wikidata report]]: Two key Wikidata Requests for Comments, relevant for future GLAM-Wiki work
* [[outreach:GLAM/Newsletter/January 2026/Contents/Events|Calendar]]: February's GLAM events

&lt;/div&gt;
|-
| style=&quot;font-family:Times New Roman; text-align:center; font-size:85%;&quot; | [[outreach:GLAM/Newsletter|Read this edition in full]] &amp;bull; [[outreach:GLAM/Newsletter/January 2026/Single|Single-page]]
|-
| valign=&quot;top&quot; colspan=&quot;2&quot; style=&quot;padding:0.5em; font-family:Times New Roman;text-align:center; font-size:85%;&quot; |
To assist with preparing the newsletter, please visit the [[outreach:GLAM/Newsletter/Newsroom|newsroom]]. Past editions may be viewed [[outreach:GLAM/Newsletter/Archives|here]].
|-
|}
|}
&lt;div style=&quot;margin-top:10px; font-size:90%; padding-left:5px; font-family:Georgia, Palatino, Palatino Linotype, Times, Times New Roman, serif;&quot;&gt;[[m:GLAM/Newsletter/About|About ''This Month in GLAM'']] · [[m:Global message delivery/Targets/GLAM|Subscribe/Unsubscribe]] · [[m:MassMessage|Global message delivery]] · [[:m:User:Romaine|Romaine]] 08:34, 11 February 2026 (UTC)&lt;/div&gt;
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== ''This Month in GLAM'': February 2026 ==

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| style=&quot;text-align: center;&quot; | [[File:This Month in GLAM logo 2018.png|350px|center|link=outreach:GLAM/Newsletter]]&lt;br /&gt;
&lt;hr /&gt;
&lt;div style=&quot;font-size:12pt; font-family:Times New Roman; text-align:center;&quot;&gt;[[outreach:GLAM/Newsletter/February 2026|&lt;span style=&quot;color:darkslategray;&quot;&gt;This Month in GLAM – Volume XVI, Issue II, February 2026&lt;/span&gt;]]&lt;/div&gt;
&lt;hr /&gt;&lt;br /&gt;

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* [[outreach:GLAM/Newsletter/February 2026/Contents/From the team|From the team]]: GLAM in 2026 is calling to action!
* [[outreach:GLAM/Newsletter/February 2026/Contents/Belgium report|Belgium report]]: A photo safari through Wiki Loves Fashion &amp; a rescue mission with Mission Gourmande!
* [[outreach:GLAM/Newsletter/February 2026/Contents/Czech Republic report|Czech Republic report]]: National Library overview of 2025
* [[outreach:GLAM/Newsletter/February 2026/Contents/Italy report|Italy report]]: Cultural Heritage and Memory: 2026 GLAM Call and Executed Renaissance Edit-a-thon
* [[outreach:GLAM/Newsletter/February 2026/Contents/New Zealand report|New Zealand report]]: Farewelling the Auckland Museum Summer Students and an update on the NZBSI WiR
* [[outreach:GLAM/Newsletter/February 2026/Contents/Poland report|Poland report]]: Wikipedia in Cultural Marketing at Crash Mondays Warsaw
* [[outreach:GLAM/Newsletter/February 2026/Contents/Serbia report|Serbia report]]: February in Wikimedia Serbia
* [[outreach:GLAM/Newsletter/February 2026/Contents/Spain report|Spain report]]: Wikidata in the GLAM context II
* [[outreach:GLAM/Newsletter/February 2026/Contents/Switzerland report|Switzerland report]]: Neocomensia, SAPA, Atelier Winterthur, GLAM-on-Tour Disentis
* [[outreach:GLAM/Newsletter/February 2026/Contents/UK report|UK report]]: New content in African and Asian languages
* [[outreach:GLAM/Newsletter/February 2026/Contents/Biodiversity Heritage Library report|Biodiversity Heritage Library report]]: Updates on work by BHLWiki Working Group members
* [[outreach:GLAM/Newsletter/February 2026/Contents/Memory of the World report|Memory of the World report]]: Focus on Indigenous issues
* [[outreach:GLAM/Newsletter/February 2026/Contents/Events|Calendar]]: March's GLAM events
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&lt;div style=&quot;margin-top:10px; font-size:90%; padding-left:5px; font-family:Georgia, Palatino, Palatino Linotype, Times, Times New Roman, serif;&quot;&gt;[[m:GLAM/Newsletter/About|About ''This Month in GLAM'']] · [[m:Global message delivery/Targets/GLAM|Subscribe/Unsubscribe]] · [[m:MassMessage|Global message delivery]] · [[:m:User:Romaine|Romaine]] 00:52, 12 March 2026 (UTC)&lt;/div&gt;
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== ''This Month in GLAM'': March 2026 ==

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{| align=&quot;center&quot;
|-
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&lt;hr /&gt;
&lt;div style=&quot;font-size:12pt; font-family:Times New Roman; text-align:center;&quot;&gt;[[outreach:GLAM/Newsletter/March 2026|&lt;span style=&quot;color:darkslategray;&quot;&gt;This Month in GLAM – Volume XVI, Issue III, March 2026&lt;/span&gt;]]&lt;/div&gt;
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* [[outreach:GLAM/Newsletter/March 2026/Contents/From the team|From the team]]: GLAM in Equinox
* [[outreach:GLAM/Newsletter/March 2026/Contents/Albania report|Albania report]]: Wikigap 2026 in Tirana, Albania
* [[outreach:GLAM/Newsletter/March 2026/Contents/Aruba report|Aruba report]]: Celebrating 20 Years of Papiamentu/o Wikipedia
* [[outreach:GLAM/Newsletter/March 2026/Contents/Bolivia report|Bolivia report]]: The Family Treasures Project Returns, with New GLAM Partners
* [[outreach:GLAM/Newsletter/March 2026/Contents/Brazil report|Brazil report]]: Wiki Loves Folklore Brazil defines six categories to represent Brazilian culture on Commons 
* [[outreach:GLAM/Newsletter/March 2026/Contents/Colombia report|Colombia report]]: Architecture in the public domain in libraries in Nariño/Arquitectura en dominio público en bibliotecas nariñenses
* [[outreach:GLAM/Newsletter/March 2026/Contents/Czech Republic report|Czech Republic report]]: Main Wikimedian in Residence report for 2025 is here
* [[outreach:GLAM/Newsletter/March 2026/Contents/Germany report|Germany report]]: Art History Loves Wiki 2026 – digital/local. collection loves wiki
* [[outreach:GLAM/Newsletter/March 2026/Contents/India report|India report]]: Collaboration resumes with the British Library for Bangla Wikisource
* [[outreach:GLAM/Newsletter/March 2026/Contents/Italy report|Italy report]]: 2026 winners projects
* [[outreach:GLAM/Newsletter/March 2026/Contents/New Zealand report|New Zealand report]]: New Zealand Bioeconomy Science Institute Wikimedian in Residence update, a letter published in Nature &amp; Architecture + Women NZ
* [[outreach:GLAM/Newsletter/March 2026/Contents/Macedonia report|North Macedonia report]]: Wikimedia MKD's GLAM Highlights: Botany and Beyond 
* [[outreach:GLAM/Newsletter/March 2026/Contents/Portugal report|Portugal report]]: March in Portugal
* [[outreach:GLAM/Newsletter/March 2026/Contents/Serbia report|Serbia report]]: March in Wikimedia Serbia
* [[outreach:GLAM/Newsletter/March 2026/Contents/Sweden report|Sweden report]]: Looking for similar images
* [[outreach:GLAM/Newsletter/March 2026/Contents/Switzerland report|Switzerland report]]: GLAM Wiki Group, Donna, CoCreation PTT-Archive
* [[outreach:GLAM/Newsletter/March 2026/Contents/UK report|UK report]]: CILIP MDG 2026 Conference, Library meetups and the World's Enamels
* [[outreach:GLAM/Newsletter/March 2026/Contents/Ukraine report|Ukraine report]]: Spring 2026 news from Ukraine – Wiki Loves Folklore &amp; more #1Lib1Ref
* [[outreach:GLAM/Newsletter/March 2026/Contents/USA report|USA report]]: MoMA's International Traveling Exhibitions and Wikidata on the LD4 Arts Affinity Group April Community Call 
* [[outreach:GLAM/Newsletter/March 2026/Contents/Biodiversity Heritage Library report|Biodiversity Heritage Library report]]: Updates on work by BHL-Wiki Working Group members
* [[outreach:GLAM/Newsletter/March 2026/Contents/AvoinGLAM report|AvoinGLAM report]]: Oulu Löyly
* [[outreach:GLAM/Newsletter/March 2026/Contents/Memory of the World report|Memory of the World report]]: Indigenous languages on the Main Page
* [[outreach:GLAM/Newsletter/March 2026/Contents/Events|Calendar]]: April's GLAM events

&lt;/div&gt;
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&lt;div style=&quot;margin-top:10px; font-size:90%; padding-left:5px; font-family:Georgia, Palatino, Palatino Linotype, Times, Times New Roman, serif;&quot;&gt;[[m:GLAM/Newsletter/About|About ''This Month in GLAM'']] · [[m:Global message delivery/Targets/GLAM|Subscribe/Unsubscribe]] · [[m:MassMessage|Global message delivery]] · [[:m:User:Romaine|Romaine]] 18:19, 9 April 2026 (UTC)&lt;/div&gt;
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  <page>
    <title>Complex analysis in plain view</title>
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      <comment>/* Geometric Series Examples */</comment>
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      <text bytes="5296" sha1="7jxcykuw6bnowg6ahvh0t47260ucrpx" xml:space="preserve">Many of the functions that arise naturally in mathematics and real world applications can be extended to and regarded as complex functions, meaning the input, as well as the output, can be complex numbers &lt;math&gt;x+iy&lt;/math&gt;, where &lt;math&gt;i=\sqrt{-1}&lt;/math&gt;, in such a way that it is a more natural object to study. '''Complex analysis''', which used to be known as '''function theory''' or '''theory of functions of a single complex variable''', is a sub-field of analysis that studies such functions (more specifically, '''holomorphic''' functions) on the complex plane, or part (domain) or extension (Riemann surface) thereof. It notably has great importance in number theory, e.g. the [[Riemann zeta function]] (for the distribution of primes) and other &lt;math&gt;L&lt;/math&gt;-functions, modular forms, elliptic functions, etc. &lt;blockquote&gt;The shortest path between two truths in the real domain passes through the complex domain.  — [[wikipedia:Jacques_Hadamard|Jacques Hadamard]]&lt;/blockquote&gt;In a certain sense, the essence of complex functions is captured by the principle of [[analytic continuation]].{{mathematics}}

==''' Complex Functions '''== 
* Complex Functions ([[Media:CAnal.1.A.CFunction.20140222.Basic.pdf|1.A.pdf]], [[Media:CAnal.1.B.CFunction.20140111.Octave.pdf|1.B.pdf]], [[Media:CAnal.1.C.CFunction.20140111.Extend.pdf|1.C.pdf]])

* Complex Exponential and Logarithm ([[Media:CAnal.5.A.CLog.20131017.pdf|5.A.pdf]], [[Media:CAnal.5.A.Octave.pdf|5.B.pdf]])

* Complex Trigonometric and Hyperbolic ([[Media:CAnal.7.A.CTrigHyper..pdf|7.A.pdf]], [[Media:CAnal.7.A.Octave..pdf|7.B.pdf]])

'''Complex Function Note'''
: 1. Exp and Log Function Note ([[Media:ComplexExp.29160721.pdf|H1.pdf]])

: 2. Trig and TrigH Function Note ([[Media:CAnal.Trig-H.29160901.pdf|H1.pdf]])

: 3. Inverse Trig and TrigH Functions Note ([[Media:CAnal.Hyper.29160829.pdf|H1.pdf]])

==''' Complex Integrals '''== 
* Complex Integrals ([[Media:CAnal.2.A.CIntegral.20140224.Basic.pdf|2.A.pdf]], [[Media:CAnal.2.B.CIntegral.20140117.Octave.pdf|2.B.pdf]], [[Media:CAnal.2.C.CIntegral.20140117.Extend.pdf|2.C.pdf]])

==''' Complex Series '''== 
* Complex Series ([[Media:CPX.Series.20150226.2.Basic.pdf|3.A.pdf]], [[Media:CAnal.3.B.CSeries.20140121.Octave.pdf|3.B.pdf]], [[Media:CAnal.3.C.CSeries.20140303.Extend.pdf|3.C.pdf]])

==''' Residue Integrals '''==
* Residue Integrals ([[Media:CAnal.4.A.Residue.20140227.Basic.pdf|4.A.pdf]], [[Media:CAnal.4.B.pdf|4.B.pdf]], [[Media:CAnal.4.C.Residue.20140423.Extend.pdf|4.C.pdf]]) 

==='''Residue Integrals Note'''===
* Laurent Series with the Residue Theorem Note ([[Media:Laurent.1.Residue.20170713.pdf|H1.pdf]])
* Laurent Series with Applications Note ([[Media:Laurent.2.Applications.20170327.pdf|H1.pdf]])
* Laurent Series and the z-Transform Note ([[Media:Laurent.3.z-Trans.20170831.pdf|H1.pdf]])
* Laurent Series as a Geometric Series Note ([[Media:Laurent.4.GSeries.20170802.pdf|H1.pdf]])

=== Laurent Series and the z-Transform Example Note === 
* Overview ([[Media:Laurent.4.z-Example.20170926.pdf|H1.pdf]])

====Geometric Series Examples====

* Causality ([[Media:Laurent.5.Causality.1.A.20191026n.pdf|A.pdf]], [[Media:Laurent.5.Causality.1.B.20191026.pdf|B.pdf]]) 

* Time Shift ([[Media:Laurent.5.TimeShift.2.A.20191028.pdf|A.pdf]], [[Media:Laurent.5.TimeShift.2.B.20191029.pdf|B.pdf]]) 

* Reciprocity ([[Media:Laurent.5.Reciprocity.3A.20191030.pdf|A.pdf]], [[Media:Laurent.5.Reciprocity.3B.20191031.pdf|B.pdf]]) 

* Combinations ([[Media:Laurent.5.Combination.4A.20200702.pdf|A.pdf]], [[Media:Laurent.5.Combination.4B.20201002.pdf|B.pdf]]) 

* Properties ([[Media:Laurent.5.Property.5A.20220105.pdf|A.pdf]], [[Media:Laurent.5.Property.5B.20220126.pdf|B.pdf]]) 

* Permutations ([[Media:Laurent.6.Permutation.6A.20230711.pdf|A.pdf]], [[Media:Laurent.5.Permutation.6B.20251225.pdf|B.pdf]], [[Media:Laurent.5.Permutation.6C.20260407.pdf|C.pdf]], [[Media:Laurent.5.Permutation.6C.20240528.pdf|D.pdf]]) 

* Applications ([[Media:Laurent.5.Application.6B.20220723.pdf|A.pdf]]) 

* Double Pole Case

:- Examples ([[Media:Laurent.5.DPoleEx.7A.20220722.pdf|A.pdf]], [[Media:Laurent.5.DPoleEx.7B.20220720.pdf|B.pdf]]) 

:- Properties ([[Media:Laurent.5.DPoleProp.5A.20190226.pdf|A.pdf]], [[Media:Laurent.5.DPoleProp.5B.20190228.pdf|B.pdf]])

====The Case Examples====
* Example Overview : ([[Media:Laurent.4.Example.0.A.20171208.pdf|0A.pdf]], [[Media:Laurent.6.CaseExample.0.B.20180205.pdf|0B.pdf]])
* Example Case 1 : ([[Media:Laurent.4.Example.1.A.20171107.pdf|1A.pdf]], [[Media:Laurent.4.Example.1.B.20171227.pdf|1B.pdf]])
* Example Case 2 : ([[Media:Laurent.4.Example.2.A.20171107.pdf|2A.pdf]], [[Media:Laurent.4.Example.2.B.20171227.pdf|2B.pdf]])
* Example Case 3 : ([[Media:Laurent.4.Example.3.A.20171017.pdf|3A.pdf]], [[Media:Laurent.4.Example.3.B.20171226.pdf|3B.pdf]])
* Example Case 4 : ([[Media:Laurent.4.Example.4.A.20171017.pdf|4A.pdf]], [[Media:Laurent.4.Example.4.B.20171228.pdf|4B.pdf]])
* Example Summary : ([[Media:Laurent.4.Example.5.A.20171212.pdf|5A.pdf]], [[Media:Laurent.4.Example.5.B.20171230.pdf|5B.pdf]])

==''' Conformal Mapping '''== 
* Conformal Mapping ([[Media:CAnal.6.A.Conformal.20131224.pdf|6.A.pdf]], [[Media:CAnal.6.A.Octave..pdf|6.B.pdf]])

go to [ [[Electrical_%26_Computer_Engineering_Studies]] ]

[[Category:Complex analysis]]</text>
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    <title>Motivation and emotion/Lectures/Individual emotions</title>
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      <text bytes="7477" sha1="kcpjjvdkxo9pu8vy1g28dhoncxi6qt6" xml:space="preserve">{{Motivation and emotion/Lectures|Lecture 09: Individual emotions|ninth}}
{{Motivation and emotion/Lectures/Complete}}
&lt;!-- {{Motivation and emotion/Lectures/In development}} --&gt;
&lt;!-- {{Motivation and emotion/Lectures/Complete}} --&gt;
[[File:Emotion collage.png|right|300px]]

==Overview==
This lecture discusses 20 specific emotions, including what causes them, how they are expressed, and what they motivate.

Take-home messages:
* Emotions are purposeful—they guide action tendencies towards adaptive functional response
* Learning about the causes, functions, and consequences of individual emotions expands emotion knowledge and makes adaptive responses to different situations more likely

==Outline==
[[File:Emotion Recognition Deficit.jpg|right|200px]]
* Basic (7)
** Fear
** Anger
** Disgust
** Contempt
** Sadness
** Interest
** Joy
** Self-conscious (5)
** Shame
** Guilt
** Embarrassment
** Pride
** Triumph
* Cognitively complex (8)
** Envy
** Gratitude
** Disappointment
** Regret
** Hope
** Schadenfreude
** Empathy
** Compassion

[[File:Emotion Categories.png|center|650px]]

==Motivations generated by specific emotions==
Typical motivational urges generated (functions served) by specific emotions are shown in Table 1.

'''Table 1'''

Motivational Urge Generated by Specific Emotions (based on Reeve (2018, p. 340))
{| class=&quot;wikitable&quot;
|'''Emotion'''
|'''Motivational urge'''
|-
|'''Basic'''
|
|-
|[[:Category:Motivation and emotion/Book/Fear|Fear]]
|Flee; protect oneself
|-
|[[:Category:Motivation and emotion/Book/Fear|Anger]]
|Overcome obstacles; right an illegitimate wrong
|-
|[[:Category:Motivation and emotion/Book/Disgust|Disgust]]
|Reject; get rid of; get away from
|-
|[[:Category:Motivation and emotion/Book/Contempt|Contempt]]
|Maintain dominance and social hierarchy
|-
|[[:Category:Motivation and emotion/Book/Sadness|Sadness]]
|Repair a loss or failure
|-
|[[:Category:Motivation and emotion/Book/Joy|Joy]]
|Continue goal striving; play; engage in social interaction
|-
|[[:Category:Motivation and emotion/Book/Interest|Interest]]
|Explore; seek; acquire new information; learn
|-
|'''Self-conscious'''
|
|-
|[[:Category:Motivation and emotion/Book/Shame|Shame]]
|Restore the self; protect the self
|-
|[[:Category:Motivation and emotion/Book/Guilt|Guilt]]
|Make amends
|-
|[[:Category:Motivation and emotion/Book/Embarrassment|Embarrassment]]
|Appease others; communicate blunder was unintended
|-
|[[:Category:Motivation and emotion/Book/Pride|Pride]]
|Authentic: Acquire further skill; persist at challenging tasks
Hubristic: Self-inflation to boost self-esteem and social standing
|-
|[[:Category:Motivation and emotion/Book/Triumph|Triumph]]
|Display dominance and power over the defeated
|-
|'''Cognitively complex'''
|
|-
|[[:Category:Motivation and emotion/Book/Envy|Envy]]
|Benign: Move up; improve one’s position.
Malicious: Tear down; reduce another's position
|-
|[[:Category:Motivation and emotion/Book/Gratitude|Gratitude]]
|Act prosocially; grow the relationship
|-
|[[:Category:Motivation and emotion/Book/Disappointment|Disappointment]]
|Give up; helplessness
|-
|[[:Category:Motivation and emotion/Book/Regret|Regret]]
|Undo a poor decision or behaviour
|-
|[[:Category:Motivation and emotion/Book/Hope|Hope]]
|Keep engaged in pursuit of a desired goal
|-
|[[:Category:Motivation and emotion/Book/Schadenfreude|Schadenfreude]]
|Reinforce feelings of superiority
|-
|[[:Category:Motivation and emotion/Book/Empathy|Empathy]]
|Act prosocially; help the other
|-
|[[:Category:Motivation and emotion/Book/Compassion|Compassion]]
|Reduce suffering
|}
''Note''. Links go to specific [[Motivation and emotion/Book|motivation and emotion book chapters]]. For a table of these emotions with definitions and links to corresponding Wikipedia articles, see the [[Motivation and emotion/Tutorials/20 emotions#Individual emotions|20 emotions tutorial]].

==Readings==
* Chapter 14: Individual emotions ([[Motivation and emotion/Readings/Textbooks/Reeve/2018|Reeve, 2018]]) or Chapter 13: Individual emotions and feelings ([[Motivation and emotion/Readings/Textbooks/Reeve/2024|Reeve, 2024]])

==Slides==
* [https://docs.google.com/presentation/d/1-XdVSEAVAWahOMksgubomM75asUHHwjuyCA3k2gYEUA/edit?usp=sharing Individual emotions] (Google Slides)
&lt;!-- * [http://www.slideshare.net/jtneill/individual-emotions Lecture slides] (Slideshare)
* Handouts
** [[Media:Motivation and Emotion - Lecture 09 - Individual emotions 6slidesperpage.pdf|Download 6 slides to a page]]: [[File:Motivation and Emotion - Lecture 09 - Individual emotions 6slidesperpage.pdf|100px]]
** [[Media:Motivation and Emotion - Lecture 09 - Individual emotions 3slidesperpage.pdf|Download 3 slides to a page]]: [[File:Motivation and Emotion - Lecture 09 - Individual emotions 3slidesperpage.pdf|100px]]
--&gt;

==See also==
* [[/Images/]]

; Lectures
* [[{{#titleparts:{{PAGENAME}}|2}}/Aspects of emotion|Aspects of emotion]] (Previous lecture)
* [[{{#titleparts:{{PAGENAME}}|2}}/Unconscious motivation|Unconscious motivation]] (Next lecture)

; Tutorial
* [[Motivation and emotion/Tutorials/20 emotions|20 emotions]] (Tutorial)

==Recording==
* [https://au-lti.bbcollab.com/recording/ad82252fd3b942dab76549b587afdc21 Lecture 09 (2025)] (2025)&lt;!--
* [https://au-lti.bbcollab.com/recording/9917dadac2144ffeb6a6ea773aad9ce8 Lecture 09 recording] (2024)
* [https://au-lti.bbcollab.com/recording/c61875ec86bd4258ac3f5e0ceaeded04 Lecture 09 recording] (2023)
* [https://au-lti.bbcollab.com/recording/fb1b6680261a4a55b4ee699544c920f8 Lecture 09 recording](2022)
* [https://au-lti.bbcollab.com/recording/6bc4d9bf00b643d7b19aff736a499f39 Lecture 09 recording] (2021)
* [https://au-lti.bbcollab.com/recording/96e78b4252504c3193258d2e0dc2f05e Lecture 09 recording] (2020)
* [https://echo360.org.au/media/4fa588c8-f9f8-4f6f-8bc5-2a0411bbc261/public Lecture 09 recording] (2019)
* [https://echo360.org.au/media/68737326-23d4-4ceb-ad51-ef21a6855637/public Lecture 09 recording] (2018)
* [https://echo360.org.au/media/8ed1c121-f6b4-4ac1-b5a2-5130d65c38ca/public Lecture 09 recording] (2017)
--&gt;
&lt;!-- ==References==
{{Hanging indent|1=

O'Connell, B. H., O'Shea, D., &amp; Gallagher, S. (2017). Feeling thanks and saying thanks: A randomized controlled trial examining if and how socially oriented gratitude journals work. ''Journal of Clinical Psychology'', ''73''(10), 1280–1300. https://doi.org/10.1002/jclp.22469

}}
--&gt;

==External links==
* [https://medium.com/polyamory-today/compersion-or-mudita-unlearning-jealousy-the-buddhist-way-aad804a81d7 Compersion or mudita: Unlearning jealousy the buddhist way] (Polyamory Today)
* [https://www.researchgate.net/publication/12079828_Dirt_Disgust_and_Disease_Is_Hygiene_in_Our_Genes Dirt, disgust, and disease: Is hygiene in our genes] (Curtis &amp; Biran, 2001; pdf)
* [https://www.psychologytoday.com/au/blog/hide-and-seek/201505/empathy-vs-sympathy Empathy vs. sympathy] (Psychology Today)
* [http://www.rpforschools.net/articles/ASP/Tangney,%20Tracy%20&amp;%20Robins%202007%20The%20self-conscious%20emotions%20-%20Theory%20and%20Research.pdf The self-conscious emotions] (Tangney et al., 2007; pdf)
* [https://www.psychologytoday.com/au/blog/joy-and-pain/201401/what-is-the-difference-between-envy-and-jealousy What is the difference between envy and jealousy?] (Psychology Today)
{{Motivation and emotion/Lectures/Navigation}}

[[Category:Motivation and emotion/Emotion/Guilt]]
[[Category:Motivation and emotion/Lectures/Individual emotions]]</text>
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      <text bytes="7473" sha1="rg8iva8phygwd60b0cw5a4737yw74ez" xml:space="preserve">{{Motivation and emotion/Lectures|Lecture 09: Individual emotions|ninth}}
{{Motivation and emotion/Lectures/Complete}}
&lt;!-- {{Motivation and emotion/Lectures/In development}} --&gt;
&lt;!-- {{Motivation and emotion/Lectures/Complete}} --&gt;
[[File:Emotion collage.png|right|300px]]

==Overview==
This lecture discusses 20 specific emotions, including what causes them, how they are expressed, and what they motivate.

Take-home messages:
* Emotions are purposeful—they guide action tendencies towards adaptive functional response
* Learning about the causes, functions, and consequences of individual emotions expands emotion knowledge and makes adaptive responses to different situations more likely

==Outline==
[[File:Emotion Recognition Deficit.jpg|right|200px]]
[[File:Emotion Categories.png|right|600px]]
* Basic (7)
** Fear
** Anger
** Disgu
** Contempt
** Sadness
** Interest
** Joy
** Self-conscious (5)
** Shame
** Guilt
** Embarrassment
** Pride
** Triumph
* Cognitively complex (8)
** Envy
** Gratitude
** Disappointment
** Regret
** Hope
** Schadenfreude
** Empathy
** Compassion

==Motivations generated by specific emotions==
Typical motivational urges generated (functions served) by specific emotions are shown in Table 1.

'''Table 1'''

Motivational Urge Generated by Specific Emotions (based on Reeve (2018, p. 340))
{| class=&quot;wikitable&quot;
|'''Emotion'''
|'''Motivational urge'''
|-
|'''Basic'''
|
|-
|[[:Category:Motivation and emotion/Book/Fear|Fear]]
|Flee; protect oneself
|-
|[[:Category:Motivation and emotion/Book/Fear|Anger]]
|Overcome obstacles; right an illegitimate wrong
|-
|[[:Category:Motivation and emotion/Book/Disgust|Disgust]]
|Reject; get rid of; get away from
|-
|[[:Category:Motivation and emotion/Book/Contempt|Contempt]]
|Maintain dominance and social hierarchy
|-
|[[:Category:Motivation and emotion/Book/Sadness|Sadness]]
|Repair a loss or failure
|-
|[[:Category:Motivation and emotion/Book/Joy|Joy]]
|Continue goal striving; play; engage in social interaction
|-
|[[:Category:Motivation and emotion/Book/Interest|Interest]]
|Explore; seek; acquire new information; learn
|-
|'''Self-conscious'''
|
|-
|[[:Category:Motivation and emotion/Book/Shame|Shame]]
|Restore the self; protect the self
|-
|[[:Category:Motivation and emotion/Book/Guilt|Guilt]]
|Make amends
|-
|[[:Category:Motivation and emotion/Book/Embarrassment|Embarrassment]]
|Appease others; communicate blunder was unintended
|-
|[[:Category:Motivation and emotion/Book/Pride|Pride]]
|Authentic: Acquire further skill; persist at challenging tasks
Hubristic: Self-inflation to boost self-esteem and social standing
|-
|[[:Category:Motivation and emotion/Book/Triumph|Triumph]]
|Display dominance and power over the defeated
|-
|'''Cognitively complex'''
|
|-
|[[:Category:Motivation and emotion/Book/Envy|Envy]]
|Benign: Move up; improve one’s position.
Malicious: Tear down; reduce another's position
|-
|[[:Category:Motivation and emotion/Book/Gratitude|Gratitude]]
|Act prosocially; grow the relationship
|-
|[[:Category:Motivation and emotion/Book/Disappointment|Disappointment]]
|Give up; helplessness
|-
|[[:Category:Motivation and emotion/Book/Regret|Regret]]
|Undo a poor decision or behaviour
|-
|[[:Category:Motivation and emotion/Book/Hope|Hope]]
|Keep engaged in pursuit of a desired goal
|-
|[[:Category:Motivation and emotion/Book/Schadenfreude|Schadenfreude]]
|Reinforce feelings of superiority
|-
|[[:Category:Motivation and emotion/Book/Empathy|Empathy]]
|Act prosocially; help the other
|-
|[[:Category:Motivation and emotion/Book/Compassion|Compassion]]
|Reduce suffering
|}
''Note''. Links go to specific [[Motivation and emotion/Book|motivation and emotion book chapters]]. For a table of these emotions with definitions and links to corresponding Wikipedia articles, see the [[Motivation and emotion/Tutorials/20 emotions#Individual emotions|20 emotions tutorial]].

==Readings==
* Chapter 14: Individual emotions ([[Motivation and emotion/Readings/Textbooks/Reeve/2018|Reeve, 2018]]) or Chapter 13: Individual emotions and feelings ([[Motivation and emotion/Readings/Textbooks/Reeve/2024|Reeve, 2024]])

==Slides==
* [https://docs.google.com/presentation/d/1-XdVSEAVAWahOMksgubomM75asUHHwjuyCA3k2gYEUA/edit?usp=sharing Individual emotions] (Google Slides)
&lt;!-- * [http://www.slideshare.net/jtneill/individual-emotions Lecture slides] (Slideshare)
* Handouts
** [[Media:Motivation and Emotion - Lecture 09 - Individual emotions 6slidesperpage.pdf|Download 6 slides to a page]]: [[File:Motivation and Emotion - Lecture 09 - Individual emotions 6slidesperpage.pdf|100px]]
** [[Media:Motivation and Emotion - Lecture 09 - Individual emotions 3slidesperpage.pdf|Download 3 slides to a page]]: [[File:Motivation and Emotion - Lecture 09 - Individual emotions 3slidesperpage.pdf|100px]]
--&gt;

==See also==
* [[/Images/]]

; Lectures
* [[{{#titleparts:{{PAGENAME}}|2}}/Aspects of emotion|Aspects of emotion]] (Previous lecture)
* [[{{#titleparts:{{PAGENAME}}|2}}/Unconscious motivation|Unconscious motivation]] (Next lecture)

; Tutorial
* [[Motivation and emotion/Tutorials/20 emotions|20 emotions]] (Tutorial)

==Recording==
* [https://au-lti.bbcollab.com/recording/ad82252fd3b942dab76549b587afdc21 Lecture 09 (2025)] (2025)&lt;!--
* [https://au-lti.bbcollab.com/recording/9917dadac2144ffeb6a6ea773aad9ce8 Lecture 09 recording] (2024)
* [https://au-lti.bbcollab.com/recording/c61875ec86bd4258ac3f5e0ceaeded04 Lecture 09 recording] (2023)
* [https://au-lti.bbcollab.com/recording/fb1b6680261a4a55b4ee699544c920f8 Lecture 09 recording](2022)
* [https://au-lti.bbcollab.com/recording/6bc4d9bf00b643d7b19aff736a499f39 Lecture 09 recording] (2021)
* [https://au-lti.bbcollab.com/recording/96e78b4252504c3193258d2e0dc2f05e Lecture 09 recording] (2020)
* [https://echo360.org.au/media/4fa588c8-f9f8-4f6f-8bc5-2a0411bbc261/public Lecture 09 recording] (2019)
* [https://echo360.org.au/media/68737326-23d4-4ceb-ad51-ef21a6855637/public Lecture 09 recording] (2018)
* [https://echo360.org.au/media/8ed1c121-f6b4-4ac1-b5a2-5130d65c38ca/public Lecture 09 recording] (2017)
--&gt;
&lt;!-- ==References==
{{Hanging indent|1=

O'Connell, B. H., O'Shea, D., &amp; Gallagher, S. (2017). Feeling thanks and saying thanks: A randomized controlled trial examining if and how socially oriented gratitude journals work. ''Journal of Clinical Psychology'', ''73''(10), 1280–1300. https://doi.org/10.1002/jclp.22469

}}
--&gt;

==External links==
* [https://medium.com/polyamory-today/compersion-or-mudita-unlearning-jealousy-the-buddhist-way-aad804a81d7 Compersion or mudita: Unlearning jealousy the buddhist way] (Polyamory Today)
* [https://www.researchgate.net/publication/12079828_Dirt_Disgust_and_Disease_Is_Hygiene_in_Our_Genes Dirt, disgust, and disease: Is hygiene in our genes] (Curtis &amp; Biran, 2001; pdf)
* [https://www.psychologytoday.com/au/blog/hide-and-seek/201505/empathy-vs-sympathy Empathy vs. sympathy] (Psychology Today)
* [http://www.rpforschools.net/articles/ASP/Tangney,%20Tracy%20&amp;%20Robins%202007%20The%20self-conscious%20emotions%20-%20Theory%20and%20Research.pdf The self-conscious emotions] (Tangney et al., 2007; pdf)
* [https://www.psychologytoday.com/au/blog/joy-and-pain/201401/what-is-the-difference-between-envy-and-jealousy What is the difference between envy and jealousy?] (Psychology Today)
{{Motivation and emotion/Lectures/Navigation}}

[[Category:Motivation and emotion/Emotion/Guilt]]
[[Category:Motivation and emotion/Lectures/Individual emotions]]</text>
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      <text bytes="7520" sha1="p3m6ty3meq2qx5wbeb3uc79yv2kt3ys" xml:space="preserve">{{Motivation and emotion/Lectures|Lecture 09: Individual emotions|ninth}}
{{Motivation and emotion/Lectures/Complete}}
&lt;!-- {{Motivation and emotion/Lectures/In development}} --&gt;
&lt;!-- {{Motivation and emotion/Lectures/Complete}} --&gt;
[[File:Emotion collage.png|right|300px]]

==Overview==
This lecture discusses 20 specific emotions, including what causes them, how they are expressed, and what they motivate.

Take-home messages:
* Emotions are purposeful—they guide action tendencies towards adaptive functional response
* Learning about the causes, functions, and consequences of individual emotions expands emotion knowledge and makes adaptive responses to different situations more likely

==Outline==
{| class=&quot;wikitable&quot; style=&quot;width:100%; table-layout:fixed;&quot;
! style=&quot;width:33%;&quot; | Basic (7)
! style=&quot;width:33%;&quot; | Self-conscious (5)
! style=&quot;width:33%;&quot; | Cognitively complex (8)
|-
| Fear
| Shame
| Envy
|-
| Anger
| Guilt
| Gratitude
|-
| Disgust
| Embarrassment
| Disappointment
|-
| Contempt
| Pride
| Regret
|-
| Sadness
| Triumph
| Hope
|-
| Interest
| 
| Schadenfreude
|-
| Joy
| 
| Empathy
|-
| 
| 
| Compassion
|}

==Motivations generated by specific emotions==
Typical motivational urges generated (functions served) by specific emotions are shown in Table 1.

'''Table 1'''

Motivational Urge Generated by Specific Emotions (based on Reeve (2018, p. 340))
{| class=&quot;wikitable&quot;
|'''Emotion'''
|'''Motivational urge'''
|-
|'''Basic'''
|
|-
|[[:Category:Motivation and emotion/Book/Fear|Fear]]
|Flee; protect oneself
|-
|[[:Category:Motivation and emotion/Book/Fear|Anger]]
|Overcome obstacles; right an illegitimate wrong
|-
|[[:Category:Motivation and emotion/Book/Disgust|Disgust]]
|Reject; get rid of; get away from
|-
|[[:Category:Motivation and emotion/Book/Contempt|Contempt]]
|Maintain dominance and social hierarchy
|-
|[[:Category:Motivation and emotion/Book/Sadness|Sadness]]
|Repair a loss or failure
|-
|[[:Category:Motivation and emotion/Book/Joy|Joy]]
|Continue goal striving; play; engage in social interaction
|-
|[[:Category:Motivation and emotion/Book/Interest|Interest]]
|Explore; seek; acquire new information; learn
|-
|'''Self-conscious'''
|
|-
|[[:Category:Motivation and emotion/Book/Shame|Shame]]
|Restore the self; protect the self
|-
|[[:Category:Motivation and emotion/Book/Guilt|Guilt]]
|Make amends
|-
|[[:Category:Motivation and emotion/Book/Embarrassment|Embarrassment]]
|Appease others; communicate blunder was unintended
|-
|[[:Category:Motivation and emotion/Book/Pride|Pride]]
|Authentic: Acquire further skill; persist at challenging tasks
Hubristic: Self-inflation to boost self-esteem and social standing
|-
|[[:Category:Motivation and emotion/Book/Triumph|Triumph]]
|Display dominance and power over the defeated
|-
|'''Cognitively complex'''
|
|-
|[[:Category:Motivation and emotion/Book/Envy|Envy]]
|Benign: Move up; improve one’s position.
Malicious: Tear down; reduce another's position
|-
|[[:Category:Motivation and emotion/Book/Gratitude|Gratitude]]
|Act prosocially; grow the relationship
|-
|[[:Category:Motivation and emotion/Book/Disappointment|Disappointment]]
|Give up; helplessness
|-
|[[:Category:Motivation and emotion/Book/Regret|Regret]]
|Undo a poor decision or behaviour
|-
|[[:Category:Motivation and emotion/Book/Hope|Hope]]
|Keep engaged in pursuit of a desired goal
|-
|[[:Category:Motivation and emotion/Book/Schadenfreude|Schadenfreude]]
|Reinforce feelings of superiority
|-
|[[:Category:Motivation and emotion/Book/Empathy|Empathy]]
|Act prosocially; help the other
|-
|[[:Category:Motivation and emotion/Book/Compassion|Compassion]]
|Reduce suffering
|}
''Note''. Links go to specific [[Motivation and emotion/Book|motivation and emotion book chapters]]. For a table of these emotions with definitions and links to corresponding Wikipedia articles, see the [[Motivation and emotion/Tutorials/20 emotions#Individual emotions|20 emotions tutorial]].

==Readings==
* Chapter 14: Individual emotions ([[Motivation and emotion/Readings/Textbooks/Reeve/2018|Reeve, 2018]]) or Chapter 13: Individual emotions and feelings ([[Motivation and emotion/Readings/Textbooks/Reeve/2024|Reeve, 2024]])

==Slides==
* [https://docs.google.com/presentation/d/1-XdVSEAVAWahOMksgubomM75asUHHwjuyCA3k2gYEUA/edit?usp=sharing Individual emotions] (Google Slides)
&lt;!-- * [http://www.slideshare.net/jtneill/individual-emotions Lecture slides] (Slideshare)
* Handouts
** [[Media:Motivation and Emotion - Lecture 09 - Individual emotions 6slidesperpage.pdf|Download 6 slides to a page]]: [[File:Motivation and Emotion - Lecture 09 - Individual emotions 6slidesperpage.pdf|100px]]
** [[Media:Motivation and Emotion - Lecture 09 - Individual emotions 3slidesperpage.pdf|Download 3 slides to a page]]: [[File:Motivation and Emotion - Lecture 09 - Individual emotions 3slidesperpage.pdf|100px]]
--&gt;

==See also==
* [[/Images/]]

; Lectures
* [[{{#titleparts:{{PAGENAME}}|2}}/Aspects of emotion|Aspects of emotion]] (Previous lecture)
* [[{{#titleparts:{{PAGENAME}}|2}}/Unconscious motivation|Unconscious motivation]] (Next lecture)

; Tutorial
* [[Motivation and emotion/Tutorials/20 emotions|20 emotions]] (Tutorial)

==Recording==
* [https://au-lti.bbcollab.com/recording/ad82252fd3b942dab76549b587afdc21 Lecture 09 (2025)] (2025)&lt;!--
* [https://au-lti.bbcollab.com/recording/9917dadac2144ffeb6a6ea773aad9ce8 Lecture 09 recording] (2024)
* [https://au-lti.bbcollab.com/recording/c61875ec86bd4258ac3f5e0ceaeded04 Lecture 09 recording] (2023)
* [https://au-lti.bbcollab.com/recording/fb1b6680261a4a55b4ee699544c920f8 Lecture 09 recording](2022)
* [https://au-lti.bbcollab.com/recording/6bc4d9bf00b643d7b19aff736a499f39 Lecture 09 recording] (2021)
* [https://au-lti.bbcollab.com/recording/96e78b4252504c3193258d2e0dc2f05e Lecture 09 recording] (2020)
* [https://echo360.org.au/media/4fa588c8-f9f8-4f6f-8bc5-2a0411bbc261/public Lecture 09 recording] (2019)
* [https://echo360.org.au/media/68737326-23d4-4ceb-ad51-ef21a6855637/public Lecture 09 recording] (2018)
* [https://echo360.org.au/media/8ed1c121-f6b4-4ac1-b5a2-5130d65c38ca/public Lecture 09 recording] (2017)
--&gt;
&lt;!-- ==References==
{{Hanging indent|1=

O'Connell, B. H., O'Shea, D., &amp; Gallagher, S. (2017). Feeling thanks and saying thanks: A randomized controlled trial examining if and how socially oriented gratitude journals work. ''Journal of Clinical Psychology'', ''73''(10), 1280–1300. https://doi.org/10.1002/jclp.22469

}}
--&gt;

==External links==
* [https://medium.com/polyamory-today/compersion-or-mudita-unlearning-jealousy-the-buddhist-way-aad804a81d7 Compersion or mudita: Unlearning jealousy the buddhist way] (Polyamory Today)
* [https://www.researchgate.net/publication/12079828_Dirt_Disgust_and_Disease_Is_Hygiene_in_Our_Genes Dirt, disgust, and disease: Is hygiene in our genes] (Curtis &amp; Biran, 2001; pdf)
* [https://www.psychologytoday.com/au/blog/hide-and-seek/201505/empathy-vs-sympathy Empathy vs. sympathy] (Psychology Today)
* [http://www.rpforschools.net/articles/ASP/Tangney,%20Tracy%20&amp;%20Robins%202007%20The%20self-conscious%20emotions%20-%20Theory%20and%20Research.pdf The self-conscious emotions] (Tangney et al., 2007; pdf)
* [https://www.psychologytoday.com/au/blog/joy-and-pain/201401/what-is-the-difference-between-envy-and-jealousy What is the difference between envy and jealousy?] (Psychology Today)
{{Motivation and emotion/Lectures/Navigation}}

[[Category:Motivation and emotion/Emotion/Guilt]]
[[Category:Motivation and emotion/Lectures/Individual emotions]]</text>
      <sha1>p3m6ty3meq2qx5wbeb3uc79yv2kt3ys</sha1>
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    <title>Southeast Asian Languages/Vietnamese/Lesson:Introducing Yourself</title>
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      <minor />
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      <text bytes="140" sha1="dxuwc02e90wj7kvk5pl2k5si16a1e1c" xml:space="preserve">Xin chào! = Hello!

Tôi tên là ... = My name is ...

Tôi là '''người Việt Nam''' = I am '''Vietnamese'''

[[Category:Vietnamese]]</text>
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  <page>
    <title>World Languages/Asia</title>
    <ns>0</ns>
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      <id>2803908</id>
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      <text bytes="2022" sha1="kiocfzs0rn8d55iyyfc2qnis0b25ed8" xml:space="preserve">[[File:Map of Asia.png|thumb|right|400px|Map of Asia]]
'''Asia''' includes six main regions: Central Asia (blue on map), East Asia (yellow/orange), Middle East (brown), Russia and the Caucasus (purple), South Asia (green) and Southeast Asia (red). The main majority languages of this continent 

== Central Asia ==

== East Asia ==
=== South Korea ===
* [[Wikilang/Jeju|Jeju language]]
* ... (table)

== Middle East ==
* [[Arabic]]
* Hebrew
* Kurdish
* Persian

== Russia and Caucasus ==

== South Asia ==
* [[Bengali Language|Bengali]]
* [[Portal:Hindi|Hindi]]
* Nepali
* Urdu

== Southeast Asia ==
=== Indonesia ===
* There are 10 countries in SE Asia, with Indonesia as the most linguistically-diverse country (see [[w:Southeast Asia#Languages|Languages in Southeast Asia]]). There are more than 700 languages in this region alone, and many of them does not have their languages documented.

===Philippines===
* There are some 130 to 195 languages spoken in the Philippines, depending on the method of classification. Almost all are Malayo-Polynesian languages native to the archipelago (see [[w:Southeast Asia#Languages|Languages in Southeast Asia]]). A number of Spanish-influenced creole varieties generally called Chavacano along with some local varieties of Chinese are also spoken in certain communities. The 1987 constitution designates Filipino, a standardized version of Tagalog, as the national language and an official language along with English. Filipino is regulated by Commission on the Filipino Language and serves as a lingua franca used by Filipinos of various ethnolinguistic backgrounds.

Filipino (Tagalog), English, Bisayan languages (Aklanon, Cebuano, Kinaray-a, Capiznon, Hiligaynon, Waray, Masbateño, Romblomanon, Cuyonon, Surigaonon, Butuanon, Tausug), Ivatan, Ilocano, Ibanag, Pangasinan, Kapampangan, Bikol, Sama-Bajaw, Maguindanao, Maranao, Spanish, Chavacano and others.

== References ==
&lt;references/&gt;

{{center top}}[[Portal:Wikilang]]{{center bottom}}

[[Category:Languages of Asia|*]]</text>
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'''Asia''' includes six main regions: Central Asia (blue on map), East Asia (yellow/orange), Middle East (brown), Russia and the Caucasus (purple), South Asia (green) and Southeast Asia (red). The main majority languages of this continent 

== Central Asia ==

== East Asia ==
=== South Korea ===
* [[Wikilang/Jeju|Jeju language]]
* ... (table)

== Middle East ==
* [[Arabic]]
* Hebrew
* Kurdish
* Persian

== Russia and Caucasus ==

== South Asia ==
* [[Bengali Language|Bengali]]
* [[Portal:Hindi|Hindi]]
* Nepali
* Urdu

== Southeast Asia ==
=== Indonesia ===
* There are 11 countries in SE Asia, with Indonesia as the most linguistically-diverse country (see [[w:Southeast Asia#Languages|Languages in Southeast Asia]]). There are more than 700 languages in this region alone, and many of them does not have their languages documented.

Indonesian, Javanese, Sundanese, Batak, Minangkabau, Buginese, Banjar, Papuan, Dayak, Acehnese, Ambonese, Balinese, Betawi, Madurese, Musi, Manado, Sasak, Makassarese, Batak Dairi, Karo, Mandailing, Jambi Malay, Mongondow, Gorontalo, Ngaju, Kenyah, Nias, North Moluccan, Uab Meto, Bima, Manggarai, Toraja-Sa'dan, Komering, Tetum, Rejang, Muna, Sumbawa, Bangka Malay, Osing, Gayo, Bungku-Tolaki languages, Moronene, Bungku, Bahonsuai, Kulisusu, Wawonii, Mori Bawah, Mori Atas, Padoe, Tomadino, Lewotobi, Tae', Mongondow, Lampung, Tolaki, Ma'anyan, Simeulue, Gayo, Buginese, Mandar, Minahasan, Enggano, Ternate, Tidore, Mairasi, East Cenderawasih Language, Lakes Plain Languages, Tor-Kwerba, Nimboran, Skou/Sko, Border languages, Senagi, Pauwasi, Mandarin, Hokkien, Cantonese, Hakka, Teochew, Tamil, Punjabi, and Arabic.

===Philippines===
* There are some 130 to 195 languages spoken in the Philippines, depending on the method of classification. Almost all are Malayo-Polynesian languages native to the archipelago (see [[w:Southeast Asia#Languages|Languages in Southeast Asia]]). A number of Spanish-influenced creole varieties generally called Chavacano along with some local varieties of Chinese are also spoken in certain communities. The 1987 constitution designates Filipino, a standardized version of Tagalog, as the national language and an official language along with English. Filipino is regulated by Commission on the Filipino Language and serves as a lingua franca used by Filipinos of various ethnolinguistic backgrounds.

Filipino (Tagalog), English, Bisayan languages (Aklanon, Cebuano, Kinaray-a, Capiznon, Hiligaynon, Waray, Masbateño, Romblomanon, Cuyonon, Surigaonon, Butuanon, Tausug), Ivatan, Ilocano, Ibanag, Pangasinan, Kapampangan, Bikol, Sama-Bajaw, Maguindanao, Maranao, Spanish, Chavacano and others.

== References ==
&lt;references/&gt;

{{center top}}[[Portal:Wikilang]]{{center bottom}}

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'''Asia''' includes six main regions: Central Asia (blue on map), East Asia (yellow/orange), Middle East (brown), Russia and the Caucasus (purple), South Asia (green) and Southeast Asia (red). The main majority languages of this continent 

== Central Asia ==

== East Asia ==
=== South Korea ===
* [[Wikilang/Jeju|Jeju language]]
* ... (table)

== Middle East ==
* [[Arabic]]
* Hebrew
* Kurdish
* Persian

== Russia and Caucasus ==

== South Asia ==
* [[Bengali Language|Bengali]]
* [[Portal:Hindi|Hindi]]
* Nepali
* Urdu

== Southeast Asia ==
=== Indonesia ===
* There are 11 countries in SE Asia, with Indonesia as the most linguistically-diverse country (see [[w:Southeast Asia#Languages|Languages in Southeast Asia]]). There are more than 700 languages in this region alone, and many of them does not have their languages documented.

Indonesian, Javanese, Sundanese, Batak, Minangkabau, Buginese, Banjar, Papuan, Dayak, Acehnese, Ambonese, Balinese, Betawi, Madurese, Musi, Manado, Sasak, Makassarese, Batak Dairi, Karo, Mandailing, Jambi Malay, Mongondow, Gorontalo, Ngaju, Kenyah, Nias, North Moluccan, Uab Meto, Bima, Manggarai, Toraja-Sa'dan, Komering, Tetum, Rejang, Muna, Sumbawa, Bangka Malay, Osing, Gayo, Bungku-Tolaki languages, Moronene, Bungku, Bahonsuai, Kulisusu, Wawonii, Mori Bawah, Mori Atas, Padoe, Tomadino, Lewotobi, Tae', Mongondow, Lampung, Tolaki, Ma'anyan, Simeulue, Gayo, Buginese, Mandar, Minahasan, Enggano, Ternate, Tidore, Mairasi, East Cenderawasih Language, Lakes Plain Languages, Tor-Kwerba, Nimboran, Skou/Sko, Border languages, Senagi, Pauwasi, Mandarin, Hokkien, Cantonese, Hakka, Teochew, Tamil, Punjabi, and Arabic.

=== Malaysia===
Malaysian, English, Mandarin, Tamil, Daro-Matu, Kedah Malay, Sabah Malay, Brunei Malay, Kelantan Malay, Pahang Malay, Acehnese, Javanese, Minangkabau, Banjar, Buginese, Tagalog, Hakka, Cantonese, Hokkien, Teochew, Fuzhounese, Telugu, Bengali, Punjabi, Sinhala, Malayalam, Arabic, Brunei Bisaya, Okolod, Kota Marudu Talantang, Kelabit, Lotud, Terengganu Malay, Semelai, Thai, Iban, Kadazan, Dusun, Kristang, Bajau, Jakun, Mah Meri, Batek, Melanau, Semai, Temuan, Lun Bawang, Temiar, Penan, Tausug, Iranun, Lundayeh/Lun Bawang, and others.

===Philippines===
* There are some 130 to 195 languages spoken in the Philippines, depending on the method of classification. Almost all are Malayo-Polynesian languages native to the archipelago (see [[w:Southeast Asia#Languages|Languages in Southeast Asia]]). A number of Spanish-influenced creole varieties generally called Chavacano along with some local varieties of Chinese are also spoken in certain communities. The 1987 constitution designates Filipino, a standardized version of Tagalog, as the national language and an official language along with English. Filipino is regulated by Commission on the Filipino Language and serves as a lingua franca used by Filipinos of various ethnolinguistic backgrounds.

Filipino (Tagalog), English, Bisayan languages (Aklanon, Cebuano, Kinaray-a, Capiznon, Hiligaynon, Waray, Masbateño, Romblomanon, Cuyonon, Surigaonon, Butuanon, Tausug), Ivatan, Ilocano, Ibanag, Pangasinan, Kapampangan, Bikol, Sama-Bajaw, Maguindanao, Maranao, Spanish, Chavacano and others.

== References ==
&lt;references/&gt;

{{center top}}[[Portal:Wikilang]]{{center bottom}}

[[Category:Languages of Asia|*]]</text>
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'''Asia''' includes six main regions: Central Asia (blue on map), East Asia (yellow/orange), Middle East (brown), Russia and the Caucasus (purple), South Asia (green) and Southeast Asia (red). The main majority languages of this continent 

== Central Asia ==

== East Asia ==
=== South Korea ===
* [[Wikilang/Jeju|Jeju language]]
* ... (table)

== Middle East ==
* [[Arabic]]
* Hebrew
* Kurdish
* Persian

== Russia and Caucasus ==

== South Asia ==
* [[Bengali Language|Bengali]]
* [[Portal:Hindi|Hindi]]
* Nepali
* Urdu

== Southeast Asia ==
=== Indonesia ===
* There are 11 countries in SE Asia, with Indonesia as the most linguistically-diverse country (see [[w:Southeast Asia#Languages|Languages in Southeast Asia]]). There are more than 700 languages in this region alone, and many of them does not have their languages documented.

Indonesian, Javanese, Sundanese, Batak, Minangkabau, Buginese, Banjar, Papuan, Dayak, Acehnese, Ambonese, Balinese, Betawi, Madurese, Musi, Manado, Sasak, Makassarese, Batak Dairi, Karo, Mandailing, Jambi Malay, Mongondow, Gorontalo, Ngaju, Kenyah, Nias, North Moluccan, Uab Meto, Bima, Manggarai, Toraja-Sa'dan, Komering, Tetum, Rejang, Muna, Sumbawa, Bangka Malay, Osing, Gayo, Bungku-Tolaki languages, Moronene, Bungku, Bahonsuai, Kulisusu, Wawonii, Mori Bawah, Mori Atas, Padoe, Tomadino, Lewotobi, Tae', Mongondow, Lampung, Tolaki, Ma'anyan, Simeulue, Gayo, Buginese, Mandar, Minahasan, Enggano, Ternate, Tidore, Mairasi, East Cenderawasih Language, Lakes Plain Languages, Tor-Kwerba, Nimboran, Skou/Sko, Border languages, Senagi, Pauwasi, Mandarin, Hokkien, Cantonese, Hakka, Teochew, Tamil, Punjabi, and Arabic.

=== Malaysia===
Malaysian, English, Mandarin, Tamil, Daro-Matu, Kedah Malay, Sabah Malay, Brunei Malay, Kelantan Malay, Pahang Malay, Acehnese, Javanese, Minangkabau, Banjar, Buginese, Tagalog, Hakka, Cantonese, Hokkien, Teochew, Fuzhounese, Telugu, Bengali, Punjabi, Sinhala, Malayalam, Arabic, Brunei Bisaya, Okolod, Kota Marudu Talantang, Kelabit, Lotud, Terengganu Malay, Semelai, Thai, Iban, Kadazan, Dusun, Kristang, Bajau, Jakun, Mah Meri, Batek, Melanau, Semai, Temuan, Lun Bawang, Temiar, Penan, Tausug, Iranun, Lundayeh/Lun Bawang, and others.

===Philippines===
* There are some 130 to 195 languages spoken in the Philippines, depending on the method of classification. Almost all are Malayo-Polynesian languages native to the archipelago (see [[w:Southeast Asia#Languages|Languages in Southeast Asia]]). A number of Spanish-influenced creole varieties generally called Chavacano along with some local varieties of Chinese are also spoken in certain communities. The 1987 constitution designates Filipino, a standardized version of Tagalog, as the national language and an official language along with English. Filipino is regulated by Commission on the Filipino Language and serves as a lingua franca used by Filipinos of various ethnolinguistic backgrounds.

Filipino (Tagalog), English, Bisayan languages (Aklanon, Cebuano, Kinaray-a, Capiznon, Hiligaynon, Waray, Masbateño, Romblomanon, Cuyonon, Surigaonon, Butuanon, Tausug), Ivatan, Ilocano, Ibanag, Pangasinan, Kapampangan, Bikol, Sama-Bajaw, Maguindanao, Maranao, Spanish, Chavacano and others.

=== Thailand===
Thai, Isan, Northern Khmer, Malay, Karen, Hmong, Teochew, Minnan, Hakka, Yuehai, Burmese, Iu Mien, Tamil, Bengali, Urdu, Arabic, Shan, Tai Lü, Phuthai, Mon and others.

== References ==
&lt;references/&gt;

{{center top}}[[Portal:Wikilang]]{{center bottom}}

[[Category:Languages of Asia|*]]</text>
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'''Asia''' includes six main regions: Central Asia (blue on map), East Asia (yellow/orange), Middle East (brown), Russia and the Caucasus (purple), South Asia (green) and Southeast Asia (red). The main majority languages of this continent 

== Central Asia ==

== East Asia ==
=== South Korea ===
* [[Wikilang/Jeju|Jeju language]]
* ... (table)

== Middle East ==
* [[Arabic]]
* Hebrew
* Kurdish
* Persian

== Russia and Caucasus ==

== South Asia ==
* [[Bengali Language|Bengali]]
* [[Portal:Hindi|Hindi]]
* Nepali
* Urdu

== Southeast Asia ==
=== Indonesia ===
* There are 11 countries in SE Asia, with Indonesia as the most linguistically-diverse country (see [[w:Southeast Asia#Languages|Languages in Southeast Asia]]). There are more than 700 languages in this region alone, and many of them does not have their languages documented.

Indonesian, Javanese, Sundanese, Batak, Minangkabau, Buginese, Banjar, Papuan, Dayak, Acehnese, Ambonese, Balinese, Betawi, Madurese, Musi, Manado, Sasak, Makassarese, Batak Dairi, Karo, Mandailing, Jambi Malay, Mongondow, Gorontalo, Ngaju, Kenyah, Nias, North Moluccan, Uab Meto, Bima, Manggarai, Toraja-Sa'dan, Komering, Tetum, Rejang, Muna, Sumbawa, Bangka Malay, Osing, Gayo, Bungku-Tolaki languages, Moronene, Bungku, Bahonsuai, Kulisusu, Wawonii, Mori Bawah, Mori Atas, Padoe, Tomadino, Lewotobi, Tae', Mongondow, Lampung, Tolaki, Ma'anyan, Simeulue, Gayo, Buginese, Mandar, Minahasan, Enggano, Ternate, Tidore, Mairasi, East Cenderawasih Language, Lakes Plain Languages, Tor-Kwerba, Nimboran, Skou/Sko, Border languages, Senagi, Pauwasi, Mandarin, Hokkien, Cantonese, Hakka, Teochew, Tamil, Punjabi, and Arabic.

=== Malaysia===
Malaysian, English, Mandarin, Tamil, Daro-Matu, Kedah Malay, Sabah Malay, Brunei Malay, Kelantan Malay, Pahang Malay, Acehnese, Javanese, Minangkabau, Banjar, Buginese, Tagalog, Hakka, Cantonese, Hokkien, Teochew, Fuzhounese, Telugu, Bengali, Punjabi, Sinhala, Malayalam, Arabic, Brunei Bisaya, Okolod, Kota Marudu Talantang, Kelabit, Lotud, Terengganu Malay, Semelai, Thai, Iban, Kadazan, Dusun, Kristang, Bajau, Jakun, Mah Meri, Batek, Melanau, Semai, Temuan, Lun Bawang, Temiar, Penan, Tausug, Iranun, Lundayeh/Lun Bawang, and others.

===Philippines===
* There are some 130 to 195 languages spoken in the Philippines, depending on the method of classification. Almost all are Malayo-Polynesian languages native to the archipelago (see [[w:Southeast Asia#Languages|Languages in Southeast Asia]]). A number of Spanish-influenced creole varieties generally called Chavacano along with some local varieties of Chinese are also spoken in certain communities. The 1987 constitution designates Filipino, a standardized version of Tagalog, as the national language and an official language along with English. Filipino is regulated by Commission on the Filipino Language and serves as a lingua franca used by Filipinos of various ethnolinguistic backgrounds.

Filipino (Tagalog), English, Bisayan languages (Aklanon, Cebuano, Kinaray-a, Capiznon, Hiligaynon, Waray, Masbateño, Romblomanon, Cuyonon, Surigaonon, Butuanon, Tausug), Ivatan, Ilocano, Ibanag, Pangasinan, Kapampangan, Bikol, Sama-Bajaw, Maguindanao, Maranao, Spanish, Chavacano and others.

=== Thailand===
Thai, Isan, Northern Khmer, Malay, Karen, Hmong, Teochew, Minnan, Hakka, Yuehai, Burmese, Iu Mien, Tamil, Bengali, Urdu, Arabic, Shan, Tai Lü, Phuthai, Mon and others.

===Vietnam===
Vietnamese, Cantonese, Khmer, Hmong, Tày, Cham and others.

== References ==
&lt;references/&gt;

{{center top}}[[Portal:Wikilang]]{{center bottom}}

[[Category:Languages of Asia|*]]</text>
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'''Asia''' includes six main regions: Central Asia (blue on map), East Asia (yellow/orange), Middle East (brown), Russia and the Caucasus (purple), South Asia (green) and Southeast Asia (red). The main majority languages of this continent 

== Central Asia ==

== East Asia ==
=== South Korea ===
* [[Wikilang/Jeju|Jeju language]]
* ... (table)

== Middle East ==
* [[Arabic]]
* Hebrew
* Kurdish
* Persian

== Russia and Caucasus ==

== South Asia ==
* [[Bengali Language|Bengali]]
* [[Portal:Hindi|Hindi]]
* Nepali
* Urdu

== Southeast Asia ==
=== Indonesia ===
* There are 11 countries in SE Asia, with Indonesia as the most linguistically-diverse country (see [[w:Southeast Asia#Languages|Languages in Southeast Asia]]). There are more than 700 languages in this region alone, and many of them does not have their languages documented.

Indonesian, Javanese, Sundanese, Batak, Minangkabau, Buginese, Banjar, Papuan, Dayak, Acehnese, Ambonese, Balinese, Betawi, Madurese, Musi, Manado, Sasak, Makassarese, Batak Dairi, Karo, Mandailing, Jambi Malay, Mongondow, Gorontalo, Ngaju, Kenyah, Nias, North Moluccan, Uab Meto, Bima, Manggarai, Toraja-Sa'dan, Komering, Tetum, Rejang, Muna, Sumbawa, Bangka Malay, Osing, Gayo, Bungku-Tolaki languages, Moronene, Bungku, Bahonsuai, Kulisusu, Wawonii, Mori Bawah, Mori Atas, Padoe, Tomadino, Lewotobi, Tae', Mongondow, Lampung, Tolaki, Ma'anyan, Simeulue, Gayo, Buginese, Mandar, Minahasan, Enggano, Ternate, Tidore, Mairasi, East Cenderawasih Language, Lakes Plain Languages, Tor-Kwerba, Nimboran, Skou/Sko, Border languages, Senagi, Pauwasi, Mandarin, Hokkien, Cantonese, Hakka, Teochew, Tamil, Punjabi, and Arabic.

=== Malaysia===
Malaysian, English, Mandarin, Tamil, Daro-Matu, Kedah Malay, Sabah Malay, Brunei Malay, Kelantan Malay, Pahang Malay, Acehnese, Javanese, Minangkabau, Banjar, Buginese, Tagalog, Hakka, Cantonese, Hokkien, Teochew, Fuzhounese, Telugu, Bengali, Punjabi, Sinhala, Malayalam, Arabic, Brunei Bisaya, Okolod, Kota Marudu Talantang, Kelabit, Lotud, Terengganu Malay, Semelai, Thai, Iban, Kadazan, Dusun, Kristang, Bajau, Jakun, Mah Meri, Batek, Melanau, Semai, Temuan, Lun Bawang, Temiar, Penan, Tausug, Iranun, Lundayeh/Lun Bawang, and others.

===Philippines===
* There are some 130 to 195 languages spoken in the Philippines, depending on the method of classification. Almost all are Malayo-Polynesian languages native to the archipelago (see [[w:Southeast Asia#Languages|Languages in Southeast Asia]]). A number of Spanish-influenced creole varieties generally called Chavacano along with some local varieties of Chinese are also spoken in certain communities. The 1987 constitution designates Filipino, a standardized version of Tagalog, as the national language and an official language along with English. Filipino is regulated by Commission on the Filipino Language and serves as a lingua franca used by Filipinos of various ethnolinguistic backgrounds.

Filipino (Tagalog), English, Bisayan languages (Aklanon, Cebuano, Kinaray-a, Capiznon, Hiligaynon, Waray, Masbateño, Romblomanon, Cuyonon, Surigaonon, Butuanon, Tausug), Ivatan, Ilocano, Ibanag, Pangasinan, Kapampangan, Bikol, Sama-Bajaw, Maguindanao, Maranao, Spanish, Chavacano and others.

=== Thailand===
Thai, Isan, Northern Khmer, Malay, Karen, Hmong, Teochew, Minnan, Hakka, Yuehai, Burmese, Iu Mien, Tamil, Bengali, Urdu, Arabic, Shan, Tai Lü, Phuthai, Mon and others.

===Timor-Leste===
Portuguese, Tetum, Mambae, Makasae, Tukudede, Bunak, Galoli, Kemak, Fataluku, Baikeno, and others.

===Vietnam===
Vietnamese, Cantonese, Khmer, Hmong, Tày, Cham and others.

== References ==
&lt;references/&gt;

{{center top}}[[Portal:Wikilang]]{{center bottom}}

[[Category:Languages of Asia|*]]</text>
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'''Asia''' includes six main regions: Central Asia (blue on map), East Asia (yellow/orange), Middle East (brown), Russia and the Caucasus (purple), South Asia (green) and Southeast Asia (red). The main majority languages of this continent 

== Central Asia ==

== East Asia ==
=== South Korea ===
* [[Wikilang/Jeju|Jeju language]]
* ... (table)

== Middle East ==
* [[Arabic]]
* Hebrew
* Kurdish
* Persian

== Russia and Caucasus ==

== South Asia ==
* [[Bengali Language|Bengali]]
* [[Portal:Hindi|Hindi]]
* Nepali
* Urdu

== Southeast Asia ==
=== Indonesia ===
* There are 11 countries in SE Asia, with Indonesia as the most linguistically-diverse country (see [[w:Southeast Asia#Languages|Languages in Southeast Asia]]). There are more than 700 languages in this region alone, and many of them does not have their languages documented.

Indonesian, Javanese, Sundanese, Batak, Minangkabau, Buginese, Banjar, Papuan, Dayak, Acehnese, Ambonese, Balinese, Betawi, Madurese, Musi, Manado, Sasak, Makassarese, Batak Dairi, Karo, Mandailing, Jambi Malay, Mongondow, Gorontalo, Ngaju, Kenyah, Nias, North Moluccan, Uab Meto, Bima, Manggarai, Toraja-Sa'dan, Komering, Tetum, Rejang, Muna, Sumbawa, Bangka Malay, Osing, Gayo, Bungku-Tolaki languages, Moronene, Bungku, Bahonsuai, Kulisusu, Wawonii, Mori Bawah, Mori Atas, Padoe, Tomadino, Lewotobi, Tae', Mongondow, Lampung, Tolaki, Ma'anyan, Simeulue, Gayo, Buginese, Mandar, Minahasan, Enggano, Ternate, Tidore, Mairasi, East Cenderawasih Language, Lakes Plain Languages, Tor-Kwerba, Nimboran, Skou/Sko, Border languages, Senagi, Pauwasi, Mandarin, Hokkien, Cantonese, Hakka, Teochew, Tamil, Punjabi, and Arabic.

=== Malaysia===
Malaysian, English, Mandarin, Tamil, Daro-Matu, Kedah Malay, Sabah Malay, Brunei Malay, Kelantan Malay, Pahang Malay, Acehnese, Javanese, Minangkabau, Banjar, Buginese, Tagalog, Hakka, Cantonese, Hokkien, Teochew, Fuzhounese, Telugu, Bengali, Punjabi, Sinhala, Malayalam, Arabic, Brunei Bisaya, Okolod, Kota Marudu Talantang, Kelabit, Lotud, Terengganu Malay, Semelai, Thai, Iban, Kadazan, Dusun, Kristang, Bajau, Jakun, Mah Meri, Batek, Melanau, Semai, Temuan, Lun Bawang, Temiar, Penan, Tausug, Iranun, Lundayeh/Lun Bawang, and others.

===Philippines===
* There are some 130 to 195 languages spoken in the Philippines, depending on the method of classification. Almost all are Malayo-Polynesian languages native to the archipelago (see [[w:Southeast Asia#Languages|Languages in Southeast Asia]]). A number of Spanish-influenced creole varieties generally called Chavacano along with some local varieties of Chinese are also spoken in certain communities. The 1987 constitution designates Filipino, a standardized version of Tagalog, as the national language and an official language along with English. Filipino is regulated by Commission on the Filipino Language and serves as a lingua franca used by Filipinos of various ethnolinguistic backgrounds.

Filipino (Tagalog), English, Bisayan languages (Aklanon, Cebuano, Kinaray-a, Capiznon, Hiligaynon, Waray, Masbateño, Romblomanon, Cuyonon, Surigaonon, Butuanon, Tausug), Ivatan, Ilocano, Ibanag, Pangasinan, Kapampangan, Bikol, Sama-Bajaw, Maguindanao, Maranao, Spanish, Chavacano and others.

===Singapore===
English, Malay, Mandarin Chinese, Tamil, Hokkien, Teochew, Cantonese, Hakka, Japanese, Telugu, Malayalam, Punjabi, Indonesian, Boyanese, Buginese, Javanese, Balinese, Singlish creole and others.

=== Thailand===
Thai, Isan, Northern Khmer, Malay, Karen, Hmong, Teochew, Minnan, Hakka, Yuehai, Burmese, Iu Mien, Tamil, Bengali, Urdu, Arabic, Shan, Tai Lü, Phuthai, Mon and others.

===Timor-Leste===
Portuguese, Tetum, Mambae, Makasae, Tukudede, Bunak, Galoli, Kemak, Fataluku, Baikeno, and others.

===Vietnam===
Vietnamese, Cantonese, Khmer, Hmong, Tày, Cham and others.

== References ==
&lt;references/&gt;

{{center top}}[[Portal:Wikilang]]{{center bottom}}

[[Category:Languages of Asia|*]]</text>
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      <text bytes="4114" sha1="1vn7bj0a1ndshudj92qk8gafhnsy04i" xml:space="preserve">[[File:Map of Asia.png|thumb|right|400px|Map of Asia]]
'''Asia''' includes six main regions: Central Asia (blue on map), East Asia (yellow/orange), Middle East (brown), Russia and the Caucasus (purple), South Asia (green) and Southeast Asia (red). The main majority languages of this continent 

== Central Asia ==

== East Asia ==
=== South Korea ===
* [[Wikilang/Jeju|Jeju language]]
* ... (table)

== Middle East ==
* [[Arabic]]
* Hebrew
* Kurdish
* Persian

== Russia and Caucasus ==

== South Asia ==
* [[Bengali Language|Bengali]]
* [[Portal:Hindi|Hindi]]
* Nepali
* Urdu

== Southeast Asia ==
===Brunei===
Malay, English, Chinese, Tamil, Indonesian and indigenous Bornean dialects (Iban, Murutic language, Lun Bawang.)
=== Indonesia ===
* There are 11 countries in SE Asia, with Indonesia as the most linguistically-diverse country (see [[w:Southeast Asia#Languages|Languages in Southeast Asia]]). There are more than 700 languages in this region alone, and many of them does not have their languages documented.

Indonesian, Javanese, Sundanese, Batak, Minangkabau, Buginese, Banjar, Papuan, Dayak, Acehnese, Ambonese, Balinese, Betawi, Madurese, Musi, Manado, Sasak, Makassarese, Batak Dairi, Karo, Mandailing, Jambi Malay, Mongondow, Gorontalo, Ngaju, Kenyah, Nias, North Moluccan, Uab Meto, Bima, Manggarai, Toraja-Sa'dan, Komering, Tetum, Rejang, Muna, Sumbawa, Bangka Malay, Osing, Gayo, Bungku-Tolaki languages, Moronene, Bungku, Bahonsuai, Kulisusu, Wawonii, Mori Bawah, Mori Atas, Padoe, Tomadino, Lewotobi, Tae', Mongondow, Lampung, Tolaki, Ma'anyan, Simeulue, Gayo, Buginese, Mandar, Minahasan, Enggano, Ternate, Tidore, Mairasi, East Cenderawasih Language, Lakes Plain Languages, Tor-Kwerba, Nimboran, Skou/Sko, Border languages, Senagi, Pauwasi, Mandarin, Hokkien, Cantonese, Hakka, Teochew, Tamil, Punjabi, and Arabic.

=== Malaysia===
Malaysian, English, Mandarin, Tamil, Daro-Matu, Kedah Malay, Sabah Malay, Brunei Malay, Kelantan Malay, Pahang Malay, Acehnese, Javanese, Minangkabau, Banjar, Buginese, Tagalog, Hakka, Cantonese, Hokkien, Teochew, Fuzhounese, Telugu, Bengali, Punjabi, Sinhala, Malayalam, Arabic, Brunei Bisaya, Okolod, Kota Marudu Talantang, Kelabit, Lotud, Terengganu Malay, Semelai, Thai, Iban, Kadazan, Dusun, Kristang, Bajau, Jakun, Mah Meri, Batek, Melanau, Semai, Temuan, Lun Bawang, Temiar, Penan, Tausug, Iranun, Lundayeh/Lun Bawang, and others.

===Philippines===
* There are some 130 to 195 languages spoken in the Philippines, depending on the method of classification. Almost all are Malayo-Polynesian languages native to the archipelago (see [[w:Southeast Asia#Languages|Languages in Southeast Asia]]). A number of Spanish-influenced creole varieties generally called Chavacano along with some local varieties of Chinese are also spoken in certain communities. The 1987 constitution designates Filipino, a standardized version of Tagalog, as the national language and an official language along with English. Filipino is regulated by Commission on the Filipino Language and serves as a lingua franca used by Filipinos of various ethnolinguistic backgrounds.

Filipino (Tagalog), English, Bisayan languages (Aklanon, Cebuano, Kinaray-a, Capiznon, Hiligaynon, Waray, Masbateño, Romblomanon, Cuyonon, Surigaonon, Butuanon, Tausug), Ivatan, Ilocano, Ibanag, Pangasinan, Kapampangan, Bikol, Sama-Bajaw, Maguindanao, Maranao, Spanish, Chavacano and others.

===Singapore===
English, Malay, Mandarin Chinese, Tamil, Hokkien, Teochew, Cantonese, Hakka, Japanese, Telugu, Malayalam, Punjabi, Indonesian, Boyanese, Buginese, Javanese, Balinese, Singlish creole and others.

=== Thailand===
Thai, Isan, Northern Khmer, Malay, Karen, Hmong, Teochew, Minnan, Hakka, Yuehai, Burmese, Iu Mien, Tamil, Bengali, Urdu, Arabic, Shan, Tai Lü, Phuthai, Mon and others.

===Timor-Leste===
Portuguese, Tetum, Mambae, Makasae, Tukudede, Bunak, Galoli, Kemak, Fataluku, Baikeno, and others.

===Vietnam===
Vietnamese, Cantonese, Khmer, Hmong, Tày, Cham and others.

== References ==
&lt;references/&gt;

{{center top}}[[Portal:Wikilang]]{{center bottom}}

[[Category:Languages of Asia|*]]</text>
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'''Asia''' includes six main regions: Central Asia (blue on map), East Asia (yellow/orange), Middle East (brown), Russia and the Caucasus (purple), South Asia (green) and Southeast Asia (red). The main majority languages of this continent 

== Central Asia ==

== East Asia ==
=== South Korea ===
* [[Wikilang/Jeju|Jeju language]]
* ... (table)

== Middle East ==
* [[Arabic]]
* Hebrew
* Kurdish
* Persian

== Russia and Caucasus ==

== South Asia ==
* [[Bengali Language|Bengali]]
* [[Portal:Hindi|Hindi]]
* Nepali
* Urdu

== Southeast Asia ==
===Brunei===
Malay, English, Chinese, Tamil, Indonesian and indigenous Bornean dialects (Iban, Murutic language, Lun Bawang.)

===Cambodia===
Khmer, English, French, Teochew, Vietnamese, Cham, Mandarin, others.

=== Indonesia ===
* There are 11 countries in SE Asia, with Indonesia as the most linguistically-diverse country (see [[w:Southeast Asia#Languages|Languages in Southeast Asia]]). There are more than 700 languages in this region alone, and many of them does not have their languages documented.

Indonesian, Javanese, Sundanese, Batak, Minangkabau, Buginese, Banjar, Papuan, Dayak, Acehnese, Ambonese, Balinese, Betawi, Madurese, Musi, Manado, Sasak, Makassarese, Batak Dairi, Karo, Mandailing, Jambi Malay, Mongondow, Gorontalo, Ngaju, Kenyah, Nias, North Moluccan, Uab Meto, Bima, Manggarai, Toraja-Sa'dan, Komering, Tetum, Rejang, Muna, Sumbawa, Bangka Malay, Osing, Gayo, Bungku-Tolaki languages, Moronene, Bungku, Bahonsuai, Kulisusu, Wawonii, Mori Bawah, Mori Atas, Padoe, Tomadino, Lewotobi, Tae', Mongondow, Lampung, Tolaki, Ma'anyan, Simeulue, Gayo, Buginese, Mandar, Minahasan, Enggano, Ternate, Tidore, Mairasi, East Cenderawasih Language, Lakes Plain Languages, Tor-Kwerba, Nimboran, Skou/Sko, Border languages, Senagi, Pauwasi, Mandarin, Hokkien, Cantonese, Hakka, Teochew, Tamil, Punjabi, and Arabic.

=== Malaysia===
Malaysian, English, Mandarin, Tamil, Daro-Matu, Kedah Malay, Sabah Malay, Brunei Malay, Kelantan Malay, Pahang Malay, Acehnese, Javanese, Minangkabau, Banjar, Buginese, Tagalog, Hakka, Cantonese, Hokkien, Teochew, Fuzhounese, Telugu, Bengali, Punjabi, Sinhala, Malayalam, Arabic, Brunei Bisaya, Okolod, Kota Marudu Talantang, Kelabit, Lotud, Terengganu Malay, Semelai, Thai, Iban, Kadazan, Dusun, Kristang, Bajau, Jakun, Mah Meri, Batek, Melanau, Semai, Temuan, Lun Bawang, Temiar, Penan, Tausug, Iranun, Lundayeh/Lun Bawang, and others.

===Philippines===
* There are some 130 to 195 languages spoken in the Philippines, depending on the method of classification. Almost all are Malayo-Polynesian languages native to the archipelago (see [[w:Southeast Asia#Languages|Languages in Southeast Asia]]). A number of Spanish-influenced creole varieties generally called Chavacano along with some local varieties of Chinese are also spoken in certain communities. The 1987 constitution designates Filipino, a standardized version of Tagalog, as the national language and an official language along with English. Filipino is regulated by Commission on the Filipino Language and serves as a lingua franca used by Filipinos of various ethnolinguistic backgrounds.

Filipino (Tagalog), English, Bisayan languages (Aklanon, Cebuano, Kinaray-a, Capiznon, Hiligaynon, Waray, Masbateño, Romblomanon, Cuyonon, Surigaonon, Butuanon, Tausug), Ivatan, Ilocano, Ibanag, Pangasinan, Kapampangan, Bikol, Sama-Bajaw, Maguindanao, Maranao, Spanish, Chavacano and others.

===Singapore===
English, Malay, Mandarin Chinese, Tamil, Hokkien, Teochew, Cantonese, Hakka, Japanese, Telugu, Malayalam, Punjabi, Indonesian, Boyanese, Buginese, Javanese, Balinese, Singlish creole and others.

=== Thailand===
Thai, Isan, Northern Khmer, Malay, Karen, Hmong, Teochew, Minnan, Hakka, Yuehai, Burmese, Iu Mien, Tamil, Bengali, Urdu, Arabic, Shan, Tai Lü, Phuthai, Mon and others.

===Timor-Leste===
Portuguese, Tetum, Mambae, Makasae, Tukudede, Bunak, Galoli, Kemak, Fataluku, Baikeno, and others.

===Vietnam===
Vietnamese, Cantonese, Khmer, Hmong, Tày, Cham and others.

== References ==
&lt;references/&gt;

{{center top}}[[Portal:Wikilang]]{{center bottom}}

[[Category:Languages of Asia|*]]</text>
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'''Asia''' includes six main regions: Central Asia (blue on map), East Asia (yellow/orange), Middle East (brown), Russia and the Caucasus (purple), South Asia (green) and Southeast Asia (red). The main majority languages of this continent 

== Central Asia ==

== East Asia ==
=== South Korea ===
* [[Wikilang/Jeju|Jeju language]]
* ... (table)

== Middle East ==
* [[Arabic]]
* Hebrew
* Kurdish
* Persian

== Russia and Caucasus ==

== South Asia ==
* [[Bengali Language|Bengali]]
* [[Portal:Hindi|Hindi]]
* Nepali
* Urdu

== Southeast Asia ==
===Brunei===
Malay, English, Chinese, Tamil, Indonesian and indigenous Bornean dialects (Iban, Murutic language, Lun Bawang.)

===Cambodia===
Khmer, English, French, Teochew, Vietnamese, Cham, Mandarin, others.

=== Indonesia ===
* There are 11 countries in SE Asia, with Indonesia as the most linguistically-diverse country (see [[w:Southeast Asia#Languages|Languages in Southeast Asia]]). There are more than 700 languages in this region alone, and many of them does not have their languages documented.

Indonesian, Javanese, Sundanese, Batak, Minangkabau, Buginese, Banjar, Papuan, Dayak, Acehnese, Ambonese, Balinese, Betawi, Madurese, Musi, Manado, Sasak, Makassarese, Batak Dairi, Karo, Mandailing, Jambi Malay, Mongondow, Gorontalo, Ngaju, Kenyah, Nias, North Moluccan, Uab Meto, Bima, Manggarai, Toraja-Sa'dan, Komering, Tetum, Rejang, Muna, Sumbawa, Bangka Malay, Osing, Gayo, Bungku-Tolaki languages, Moronene, Bungku, Bahonsuai, Kulisusu, Wawonii, Mori Bawah, Mori Atas, Padoe, Tomadino, Lewotobi, Tae', Mongondow, Lampung, Tolaki, Ma'anyan, Simeulue, Gayo, Buginese, Mandar, Minahasan, Enggano, Ternate, Tidore, Mairasi, East Cenderawasih Language, Lakes Plain Languages, Tor-Kwerba, Nimboran, Skou/Sko, Border languages, Senagi, Pauwasi, Mandarin, Hokkien, Cantonese, Hakka, Teochew, Tamil, Punjabi, and Arabic.

=== Malaysia===
Malaysian, English, Mandarin, Tamil, Daro-Matu, Kedah Malay, Sabah Malay, Brunei Malay, Kelantan Malay, Pahang Malay, Acehnese, Javanese, Minangkabau, Banjar, Buginese, Tagalog, Hakka, Cantonese, Hokkien, Teochew, Fuzhounese, Telugu, Bengali, Punjabi, Sinhala, Malayalam, Arabic, Brunei Bisaya, Okolod, Kota Marudu Talantang, Kelabit, Lotud, Terengganu Malay, Semelai, Thai, Iban, Kadazan, Dusun, Kristang, Bajau, Jakun, Mah Meri, Batek, Melanau, Semai, Temuan, Lun Bawang, Temiar, Penan, Tausug, Iranun, Lundayeh/Lun Bawang, and others.

===Myanmar===
Burmese, Shan, Kayin (Karen), Rakhine, Kachin, Chin, Mon, Kayah, Mandarin, Bengali, Tamil, Telugu and other ethnic languages.
===Philippines===
* There are some 130 to 195 languages spoken in the Philippines, depending on the method of classification. Almost all are Malayo-Polynesian languages native to the archipelago (see [[w:Southeast Asia#Languages|Languages in Southeast Asia]]). A number of Spanish-influenced creole varieties generally called Chavacano along with some local varieties of Chinese are also spoken in certain communities. The 1987 constitution designates Filipino, a standardized version of Tagalog, as the national language and an official language along with English. Filipino is regulated by Commission on the Filipino Language and serves as a lingua franca used by Filipinos of various ethnolinguistic backgrounds.

Filipino (Tagalog), English, Bisayan languages (Aklanon, Cebuano, Kinaray-a, Capiznon, Hiligaynon, Waray, Masbateño, Romblomanon, Cuyonon, Surigaonon, Butuanon, Tausug), Ivatan, Ilocano, Ibanag, Pangasinan, Kapampangan, Bikol, Sama-Bajaw, Maguindanao, Maranao, Spanish, Chavacano and others.

===Singapore===
English, Malay, Mandarin Chinese, Tamil, Hokkien, Teochew, Cantonese, Hakka, Japanese, Telugu, Malayalam, Punjabi, Indonesian, Boyanese, Buginese, Javanese, Balinese, Singlish creole and others.

=== Thailand===
Thai, Isan, Northern Khmer, Malay, Karen, Hmong, Teochew, Minnan, Hakka, Yuehai, Burmese, Iu Mien, Tamil, Bengali, Urdu, Arabic, Shan, Tai Lü, Phuthai, Mon and others.

===Timor-Leste===
Portuguese, Tetum, Mambae, Makasae, Tukudede, Bunak, Galoli, Kemak, Fataluku, Baikeno, and others.

===Vietnam===
Vietnamese, Cantonese, Khmer, Hmong, Tày, Cham and others.

== References ==
&lt;references/&gt;

{{center top}}[[Portal:Wikilang]]{{center bottom}}

[[Category:Languages of Asia|*]]</text>
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'''Asia''' includes six main regions: Central Asia (blue on map), East Asia (yellow/orange), Middle East (brown), Russia and the Caucasus (purple), South Asia (green) and Southeast Asia (red). The main majority languages of this continent 

== Central Asia ==

== East Asia ==
=== South Korea ===
* [[Wikilang/Jeju|Jeju language]]
* ... (table)

== Middle East ==
* [[Arabic]]
* Hebrew
* Kurdish
* Persian

== Russia and Caucasus ==

== South Asia ==
* [[Bengali Language|Bengali]]
* [[Portal:Hindi|Hindi]]
* Nepali
* Urdu

== Southeast Asia ==
===Brunei===
Malay, English, Chinese, Tamil, Indonesian and indigenous Bornean dialects (Iban, Murutic language, Lun Bawang.)

===Cambodia===
Khmer, English, French, Teochew, Vietnamese, Cham, Mandarin, others.

=== Indonesia ===
* There are 11 countries in SE Asia, with Indonesia as the most linguistically-diverse country (see [[w:Southeast Asia#Languages|Languages in Southeast Asia]]). There are more than 700 languages in this region alone, and many of them does not have their languages documented.

Indonesian, Javanese, Sundanese, Batak, Minangkabau, Buginese, Banjar, Papuan, Dayak, Acehnese, Ambonese, Balinese, Betawi, Madurese, Musi, Manado, Sasak, Makassarese, Batak Dairi, Karo, Mandailing, Jambi Malay, Mongondow, Gorontalo, Ngaju, Kenyah, Nias, North Moluccan, Uab Meto, Bima, Manggarai, Toraja-Sa'dan, Komering, Tetum, Rejang, Muna, Sumbawa, Bangka Malay, Osing, Gayo, Bungku-Tolaki languages, Moronene, Bungku, Bahonsuai, Kulisusu, Wawonii, Mori Bawah, Mori Atas, Padoe, Tomadino, Lewotobi, Tae', Mongondow, Lampung, Tolaki, Ma'anyan, Simeulue, Gayo, Buginese, Mandar, Minahasan, Enggano, Ternate, Tidore, Mairasi, East Cenderawasih Language, Lakes Plain Languages, Tor-Kwerba, Nimboran, Skou/Sko, Border languages, Senagi, Pauwasi, Mandarin, Hokkien, Cantonese, Hakka, Teochew, Tamil, Punjabi, and Arabic.

===Laos===
Lao, French, Thai, Vietnamese, Khmu, Hmong, Phuthai, Bru, Tai Lü, Akha, Iu Mien and others.

=== Malaysia===
Malaysian, English, Mandarin, Tamil, Daro-Matu, Kedah Malay, Sabah Malay, Brunei Malay, Kelantan Malay, Pahang Malay, Acehnese, Javanese, Minangkabau, Banjar, Buginese, Tagalog, Hakka, Cantonese, Hokkien, Teochew, Fuzhounese, Telugu, Bengali, Punjabi, Sinhala, Malayalam, Arabic, Brunei Bisaya, Okolod, Kota Marudu Talantang, Kelabit, Lotud, Terengganu Malay, Semelai, Thai, Iban, Kadazan, Dusun, Kristang, Bajau, Jakun, Mah Meri, Batek, Melanau, Semai, Temuan, Lun Bawang, Temiar, Penan, Tausug, Iranun, Lundayeh/Lun Bawang, and others.

===Myanmar===
Burmese, Shan, Kayin (Karen), Rakhine, Kachin, Chin, Mon, Kayah, Mandarin, Bengali, Tamil, Telugu and other ethnic languages.
===Philippines===
* There are some 130 to 195 languages spoken in the Philippines, depending on the method of classification. Almost all are Malayo-Polynesian languages native to the archipelago (see [[w:Southeast Asia#Languages|Languages in Southeast Asia]]). A number of Spanish-influenced creole varieties generally called Chavacano along with some local varieties of Chinese are also spoken in certain communities. The 1987 constitution designates Filipino, a standardized version of Tagalog, as the national language and an official language along with English. Filipino is regulated by Commission on the Filipino Language and serves as a lingua franca used by Filipinos of various ethnolinguistic backgrounds.

Filipino (Tagalog), English, Bisayan languages (Aklanon, Cebuano, Kinaray-a, Capiznon, Hiligaynon, Waray, Masbateño, Romblomanon, Cuyonon, Surigaonon, Butuanon, Tausug), Ivatan, Ilocano, Ibanag, Pangasinan, Kapampangan, Bikol, Sama-Bajaw, Maguindanao, Maranao, Spanish, Chavacano and others.

===Singapore===
English, Malay, Mandarin Chinese, Tamil, Hokkien, Teochew, Cantonese, Hakka, Japanese, Telugu, Malayalam, Punjabi, Indonesian, Boyanese, Buginese, Javanese, Balinese, Singlish creole and others.

=== Thailand===
Thai, Isan, Northern Khmer, Malay, Karen, Hmong, Teochew, Minnan, Hakka, Yuehai, Burmese, Iu Mien, Tamil, Bengali, Urdu, Arabic, Shan, Tai Lü, Phuthai, Mon and others.

===Timor-Leste===
Portuguese, Tetum, Mambae, Makasae, Tukudede, Bunak, Galoli, Kemak, Fataluku, Baikeno, and others.

===Vietnam===
Vietnamese, Cantonese, Khmer, Hmong, Tày, Cham and others.

== References ==
&lt;references/&gt;

{{center top}}[[Portal:Wikilang]]{{center bottom}}

[[Category:Languages of Asia|*]]</text>
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  <page>
    <title>Use of science concepts in daily lives</title>
    <ns>0</ns>
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      <id>2804036</id>
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      <contributor>
        <username>~2026-22089-35</username>
        <id>3065002</id>
      </contributor>
      <comment>❤️❤️❤️❤️❤️❤️</comment>
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'''What is Science?'''

''Science is a systematic and logical study towards how the universe works. Science is a dynamic subject. Science can also be defined as the systematic study of the nature and behavior of the material and physical universe, based on observation, experiment, and measurement, and the formulation of laws to describe these facts in general terms.'' 

''Science is one of the greatest blessings to the mankind. It has played a major role in improving the quality of living of the man.  Science is omnipresent and omnipotent in every walk of our life. In every inch of our body, science is the protagonist.'' 

'''''There are different types of science:'''''

1. '''Physical Science''': Physics, Chemistry, Astronomy and Earth science are branches of physical sciences.

2. '''Life Science''': Biology and Social sciences are branches of life sciences.

3. '''Applied Science''': Engineering and Health care are branches of applied sciences.


Science is involved in cooking, eating, breathing, driving, playing, etc. The fabric we wear, the brush and paste we use, the shampoo, the talcum powder, the oil we apply, everything is the consequence of advancement of science. Life is unimaginable without all this, as it has become a necessity. 

'''Basic science concepts behind few daily applications of science'''

'''Cooking''': Heat energy is transformed to the cooking vessel in the form of radiation, conduction and convection. After the heat energy is passed the various ingredients like, salt, sugar or any edible material starts breaking bonds and forms new bonds which gives us delicious food. Therefore, physics as well as chemistry is involved. In order to prepare the perfect delicacy, the perfect proportions of the ingredients are very important. Hence math's plays a major role too.

The food which we consume, when entering into our body, undergoes many chemical reactions which is the reason for our energy. The chemically reacted food interacts with various cells present in our body and these cells transfer the proteins, carbohydrates and fats present in the food to our body through various mechanisms. Biology as well as chemistry is involved in this process.

'''Vehicles''': The fuel in the vehicles are burnt in order for the vehicle to get energy. The concept involved in the burning of the fuel is combustion. The conversion of heat energy into electrical energy and mechanical energy takes place. Hence chemistry and physics are involved.

Household appliances:

'''Mixer / Juicer: It''' converts the electrical energy into mechanical energy.  It uses the principle of centrifugal force. 

'''Refrigerator''': Electrical energy is converted to heat energy where cooling takes place.

'''Air Conditioner''': It keeps us cool in summers. Uses electrical energy.

My name is soumyajit</text>
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      <comment>Reverted edits by [[Special:Contributions/~2026-22089-35|~2026-22089-35]] ([[User_talk:~2026-22089-35|talk]]) to last version by [[User:203.37.239.76|203.37.239.76]] using [[Wikiversity:Rollback|rollback]]</comment>
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'''What is Science?'''

''Science is a systematic and logical study towards how the universe works. Science is a dynamic subject. Science can also be defined as the systematic study of the nature and behavior of the material and physical universe, based on observation, experiment, and measurement, and the formulation of laws to describe these facts in general terms.'' 

''Science is one of the greatest blessings to the mankind. It has played a major role in improving the quality of living of the man.  Science is omnipresent and omnipotent in every walk of our life. In every inch of our body, science is the protagonist.'' 

'''''There are different types of science:'''''

1. '''Physical Science''': Physics, Chemistry, Astronomy and Earth science are branches of physical sciences.

2. '''Life Science''': Biology and Social sciences are branches of life sciences.

3. '''Applied Science''': Engineering and Health care are branches of applied sciences.


Science is involved in cooking, eating, breathing, driving, playing, etc. The fabric we wear, the brush and paste we use, the shampoo, the talcum powder, the oil we apply, everything is the consequence of advancement of science. Life is unimaginable without all this, as it has become a necessity. 

'''Basic science concepts behind few daily applications of science'''

'''Cooking''': Heat energy is transformed to the cooking vessel in the form of radiation, conduction and convection. After the heat energy is passed the various ingredients like, salt, sugar or any edible material starts breaking bonds and forms new bonds which gives us delicious food. Therefore, physics as well as chemistry is involved. In order to prepare the perfect delicacy, the perfect proportions of the ingredients are very important. Hence math's plays a major role too.

The food which we consume, when entering into our body, undergoes many chemical reactions which is the reason for our energy. The chemically reacted food interacts with various cells present in our body and these cells transfer the proteins, carbohydrates and fats present in the food to our body through various mechanisms. Biology as well as chemistry is involved in this process.

'''Vehicles''': The fuel in the vehicles are burnt in order for the vehicle to get energy. The concept involved in the burning of the fuel is combustion. The conversion of heat energy into electrical energy and mechanical energy takes place. Hence chemistry and physics are involved.

Household appliances:

'''Mixer / Juicer: It''' converts the electrical energy into mechanical energy.  It uses the principle of centrifugal force. 

'''Refrigerator''': Electrical energy is converted to heat energy where cooling takes place.

'''Air Conditioner''': It keeps us cool in summers. Uses electrical energy.

== See Also ==
* [[Science]]

[[Category:Science]]</text>
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	local body_cells = row2:tag('td')
				:css('vertical-align', 'middle !important')

	local userboxes
	-- Special message for when first argument is blank; otherwise treat it as normal
	if args[1] and args[1]:find('%S') then
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	-- table.remove(args,1) doesn't produce desired result
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      <text bytes="12855" sha1="rkbo910qzluyblr6cz0pczka4o14yj6" xml:space="preserve">[[Image:Animalia diversity.jpg|thumb|300px|right|Some examples of animal diversity.]]
A Phylum (pl. Phyla) is the largest formal major grouping within animal taxonomy.
This list is presented in alphabetical order, and not in any systematic/evolutionary arrangement.
This list is also available in [[/Table/|table form]]. Science is by no means static. There are arguments of all sizes and shapes about the taxonomy of the Animal Phyla. Other sources may combine or split these listed Phyla. However, at this time, the list presented here should stand in good stead for an introduction to the topic of animal diversity.

There are approximately 1.9 million animal species that have been described by science.

This list tries to give the following information on each Phylum:
*Phyllum Name
*A link to a sub-page discussing that Phylum in more detail (if it yet exists)
*Name Meaning (in English)
*An English Common Name, where one is in regular use
*Distinguishing characteristics of animals within the Phylum
*An approximate number of species described within that Phylum. Since zoology fortunately refuses to stand still, this number can change.

Oh! And there's a quiz at the end.
See also [[/Lesson Plan for Animal Phyla/]]. Or head to [[Introduction to Taxonomy]] for more on that topic. You can also visit [[Plant Divisions (Phyla)]], the equivalent page for plants.

==Acanthocephalae==
[[Image:Macracanthorhynchus_hirudinaceus_adult_BAM1.jpg|thumb|100px|left|An Acanthocephalan, ''Macracanthorhynchus hirudinaceus'', adult.]]
[[/Acanthocephala/]]

Name Meaning: Horny head

English Common Name: Horny-headed worms

Major distinguishing characteristics: Reversible spiny proboscis

Approximate number of species described: 1,151

==Acoelomorpha==
[[File:Acoelomorpha.jpg|thumb|100px|left|Acoelomorpha]]
[[/Acoelomorpha/]]

Name Meaning: Without gut

English Common Name: Acoels

Major distinguishing characteristics: No mouth or alimentary canal

Approximate number of species described: 50,000

== Annelida ==
&lt;div id=&quot;Annelida&quot;&gt;&lt;/div&gt;
[[Image:Reef0200.jpg|thumb|100px|left|An feather duster worm of the family Sabellidae in parchment tube.]]
[[/Annelida/]]

Name Meaning: Little ring

English Common Name: Segmented worms, annelids

Major distinguishing characteristics: Multiple circular segments

Approximate number of species described: 22,000 modern

==gross little insects==
[[Image:Chelicerae_%26_pedipalps_%288689230685%29.jpg|thumb|100px|left|A scorpion, an example of an Arthropod]]
[[/Arthropoda/]]

Name Meaning: Jointed foot

English Common Name: Arthropods

Major distinguishing characteristics: Chitin exoskeleton

Approximate number of species described: 1,134,000+
==Brachiopoda==
[[Image:Isocrania_costata_Sowerby_1823.jpg|thumb|100px|left|Brachiopod ''Isocrania costata''.]]
[[/Brachiopoda/]]

Name Meaning: Arm foot

English Common Name: Lamp shells, brachiopod

Major distinguishing characteristics: Lophophore and pedicle

Approximate number of species described: between 300 and 500 extant
==Bryozoa==
[[Image:Freshwater_Bryozoan234.JPG|thumb|100px|left|A freshwater Bryozoan, species unknown.]]
[[/Bryozoa/]]

Name Meaning: Moss animals

English Common Name: Moss animals, sea mats, bryozoans

Major distinguishing characteristics: Lophophore, no pedicle, ciliated tentacles

Approximate number of species described: about 5,000 living species
==Chaetognatha==
[[Image:Chaetognatha.PNG|thumb|100px|left|Chaetognathans.]]
[[/Chaetognatha/]]

Name Meaning: Longhair jaw

English Common Name: Arrow worms

Major distinguishing characteristics: Chitinous spines either side of head, fins

Approximate number of species described: about 100 modern species
==Chordata==
[[Image:Clavelina lepadiformis (Müller, 1776) - Banyuls-sur-Mer - 04.83.jpg|thumb|100px|left|''Clavelina lepadiformis'', a non-vertebrate chordates.]]
[[/Chordata/]]

Name Meaning: Cord

English Common Name: Chordates

Major distinguishing characteristics: Hollow dorsal nervous chord

Approximate number of species described: about 100,000+
==Nigeria==
[[Image:Cynarina_lacrymalis.jpeg|thumb|100px|left|''Cynarina lacrymalis'' an anthozoan member of the Phylum Cnidaria.]]
[[/Cnidaria/|Nigerian]]

Name Meaning: Stinging nettle

English Common Name: Coelenterates, cnidarians, sea anemones, jellies, hydra

Major distinguishing characteristics: Cnidocytes (stinging cells)

Approximate number of species described: about 11,000

==Ctenophora==
[[Image:LightRefractsOf comb-rows of ctenophore Mertensia ovum.jpg|thumb|100px|left|''Mertensia'', a Ctenophore.]]
[[/Ctenophora/]]

Name Meaning: Comb bearer

English Common Name: Comb jellies, Ctenophores

Major distinguishing characteristics: Eight &quot;comb rows&quot; of fused cilia

Approximate number of species described: about 100 modern species
==Cycliophora==
[[Image:Cycliophora - Symbion pandora.png|thumb|100px|left|''Symbion pandora'', a Cycliphoran.]]
[[/Cycliophora/]]

Name Meaning: Wheel carrying

English Common Name: Symbion

Major distinguishing characteristics: Circular mouth surrounded by small cilia

Approximate number of species described: at least 3
==Echinodermata==
[[Image:Crinoideos.jpg|thumb|100px|left|''Crinoideos'', an example of Ecinoderms.]]
[[/Echinodermata/]]

Name Meaning: Spiny skin(Body)

English Common Name: Echinoderms

Major distinguishing characteristics: Five-fold radial symmetry, mesodermal layer, calcified spines

Approximate number of species described: about 7,000 living species and 13,000 extinct ones
==Entoprocta==
[[Image:Barentsa discreta suzukokemusi01.JPG|thumb|100px|left|''Barentsa discreta suzukokemusi'', a species of goblet worm.]]
[[/Entoprocta/]]

Name Meaning: Inside anus

English Common Name: Goblet worm

Major distinguishing characteristics: Anus inside ring of cilia

Approximate number of species described: about 150
==Gastrotricha==
[[Image:Chaetonotus (Chaetonotus) polyspinosus.jpg|thumb|100px|left|''Chaetonotus polyspinosus'' a species of meiofauna.]]
[[/Gastrotricha/]]

Name Meaning: Hair stomach

English Common Name: Hairybellies, hairybacks

Major Distinguishing Characteristics: Two terminal adhesive tubes

Approximate number of species described: about 690

==Gnathostomulida==
[[Image:Gnathostomula paradoxa Sylt.tif|thumb|100px|left|''Gnathostomula paradoxa'', a jaw worm.]]
[[/Gnathostomulida/]]

Name Meaning: Jaw orifice

English Common Name: Jaw worms

Major distinguishing characteristics: 

Approximate number of species described: about 100
==Hemichordata==
[[Image:Glossograptus whitfieldii 01.jpg|thumb|100px|left|Glossograptus whitfieldii, a fossil hemichordate.]]
[[/Hemichordata/]]

Name Meaning: Half cord

English Common Name: Acorn worms

Major distinguishing characteristics: Stomochord in collar

Approximate number of species described: about 100 living species
==Kinorhyncha==
[[Image:Paracentrophyes quadridentatus.jpg|thumb|100px|left|''Paracentrophyes quadridentatus'', a mud dragon.]]
[[/Kinorhyncha/]]

Name Meaning: Motion snout

English Common Name: Mud dragons

Major distinguishing characteristics: Eleven segments, each with a dorsal plate

Approximate number of species described: about 150
==Loricifera==
[[Image:Pliciloricus enigmatus.jpg|thumb|100px|left|A member of the Phylum Loricifera, ''Pliciloricus enigmatus''.]]
[[/Loricifera/]]

Name Meaning: Corset bearer

English Common Name: Loriciferans

Major distinguishing characteristics: Umbrella-like scales at each end

Approximate number of species described: about 122

==Micrognathozoa==
[[Image:Limnonathia, drawing.tif|thumb|100px|left|''Limnonathia'', drawing, a Micrognathozoan.]]
[[/Micrognathozoa/]] (sometimes called Phylum Gnathifera)

Name Meaning: Tiny jaw animals

English Common Name: Micrognathozoans

Major distinguishing characteristics: Accordion like extensible thorax

Approximate number of species described: 1

==Mollusca==
[[Image:Shells01.jpg|thumb|100px|left|A group of Gastropod shells, Phylum Mollusca.]]
[[/Mollusca/]]

Name Meaning: Thin shell

English Common Name: Mollusks or molluscs

Major distinguishing characteristics: Muscular foot and Mantle, round shell

Approximate number of species described: 85,000


==Nematoda==
[[Image:Mermis nigrescens beentree.jpg|thumb|100px|left|''Mermis nigrescens beentree'', a nematode worm.]]
[[/Nematoda/]]

Name Meaning: Thread like

English Common Name: Round worms, Nematodes

Major distinguishing characteristics: Round cross section, keratin, cuticle

Approximate number of species described: 80 000 - 1 million
==Nematomorpha==
[[Image:Gordiidae A MRKVICKA.JPG|thumb|100px|left|A Gordian worm, Phylum Nematomorpha.]]
[[/Nematomorpha/]]

Name Meaning: Thread form

English Common Name: Horsehair worms

Major distinguishing characteristics:

Approximate number of species described: about 320
==Nemertea==
[[Image:Micrura alaskensis.png|thumb|100px|left|Micrura alaskensis, a ribbon worm.]]
[[/Nemertea/]]

Name Meaning: A sea nymph

English Common Name: Ribbon worms

Major distinguishing characteristics:

Approximate number of species described: about 1200
==Onychophora==
[[Image:Euperipatoides kanangrensis crop.jpg|thumb|100px|left|''Euperipatoides kanangrensis'', a velvet worm.]]
[[/Onychophora/]]

Name Meaning: Claw bearer

English Common Name: Velvet worms

Major distinguishing characteristics: Legs tipped by chitinous claws

Approximate number of species described: about 200 modern
==Orthonectida==
&lt;div id=&quot;Orthonectida&quot;&gt;&lt;/div&gt;
[[Image:Orthonetida dict flat and cylinder.png|thumb|100px|left|Orthonetida, an Orthonectidan.]]
[[/Orthonectida/]]

Name Meaning: Straight swim

English Common Name: Orthonectida

Major distinguishing characteristics:

Approximate number of species described: about 20

==Phoronida==
[[Image:Phoronis Maria Grazia Montanucci2.jpg|thumb|100px|left|'' Phoronis hippocrepis'', a species of horseshoe worm.]]
[[/Phoronida/]]

Name Meaning: Zeus' mistress

English Common Name: Horseshoe worms

Major distinguishing characteristics: U-shaped gut

Approximate number of species described: 20
==Placozoa==
[[Image:Trichoplax adhaerens photograph.png|thumb|100px|left|''Trichoplax adhaerens'', the only Placozoan.]]
[[/Placozoa/]]

Name Meaning: Plate animals

English Common Name: none

Major distinguishing characteristics:

Approximate number of species described: 1
==Platyhelminthes==
[[Image:Gigantolina.elongata.in.vivo.png|thumb|100px|left|''Gigantolina elongata'', a flat worm.]]
[[/Platyhelminthes/]]

Name Meaning: Flat worms

English Common Name: Flat worms

Major distinguishing characteristics:

Approximate number of species described: about 25,000
==Porifera==
[[Image:Eponge à déterminer (1).jpg|thumb|100px|left|An unidentified sponge.]]
[[/Porifera/]]

Name Meaning: Pore bearer

English Common Name: Sponges

Major distinguishing characteristics: Perforated interior wall

Approximate number of species described: over 5,000 modern
==Priapulida==
[[Image:Adult priapulid.jpg|thumb|100px|left|''Priapulus caudatus'', a Priapulid worm.]]
[[/Priapulida/]]

Name Meaning: Penis

English Common Name: Priapulid worms

Major distinguishing characteristics: Retractable proboscis surrounded by papillae

Approximate number of species described: 17
==Rhombozoa==
&lt;div id=&quot;Rhombozoa&quot;&gt;&lt;/div&gt;
[[Image:Dicyema japonicum.png |thumb|100px|left|''Dicyema japonicum'', a rhombozoan.]]
[[/Rhombozoa/]]

Name Meaning: Rhombus animal

English Common Name: Rhombozoans

Major distinguishing characteristics: Single axial cell surrounded by ciliated cells

Approximate number of species described: 75

==Rotifera==
[[Image:20090730 020239 Rotifer.jpg|thumb|100px|left|An unidentified rotifer.]]
[[/Rotifera/]]

Name Meaning: Wheel bearer

English Common Name: Rotifers

Major distinguishing characteristics: Anterior crown of cilia

Approximate number of species described: about 2000
==Tardigrada==
[[Image:SEM image of Milnesium tardigradum in active state - journal.pone.0045682.g001-2.png|thumb|100px|left|Tardigrade ''Milnesium tardigradum'' in active state.]]
[[/Tardigrada/]]

Name Meaning: Slow step

English Common Name: Water bears

Major distinguishing characteristics: Four segmented body and head

Approximate number of species described: 1,000+
==Xenoturbellida==
[[Image:Xenoturbella bockii longitudinal section.svg|thumb|100px|left|''Xenoturbella bockii'' longitudinal section.]]
[[/Xenoturbellida/]]

Name Meaning: Strange flatworm

English Common Name: none

Major distinguishing characteristics: Ciliated deuterostome

Approximate number of species described: 2
==Quizzes==
* [[/Quiz/|Animal Phyla Quiz]]

==References==
{{reflist}}
*Brusca, Richard C., Wendy Moore, Stephen M. Shuster. Invertebrate Zoology 3rd ed. 2016. Sinauer. 1104 pp.
*[https://en.wikipedia.org/wiki/Phylum Phylum] on Wikipedia
[[Category:Lists]]
[[Category:Taxonomy]]
[[Category:Zoology]]
[[Category:Animals]]
{{science}} {{biology}}</text>
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      <text bytes="12838" sha1="h52gqhi1wbjfqd1o2lmzcatbxoqcgm4" xml:space="preserve">[[Image:Animalia diversity.jpg|thumb|300px|right|Some examples of animal diversity.]]
A Phylum (pl. Phyla) is the largest formal major grouping within animal taxonomy.
This list is presented in alphabetical order, and not in any systematic/evolutionary arrangement.
This list is also available in [[/Table/|table form]]. Science is by no means static. There are arguments of all sizes and shapes about the taxonomy of the Animal Phyla. Other sources may combine or split these listed Phyla. However, at this time, the list presented here should stand in good stead for an introduction to the topic of animal diversity.

There are approximately 1.9 million animal species that have been described by science.

This list tries to give the following information on each Phylum:
*Phyllum Name
*A link to a sub-page discussing that Phylum in more detail (if it yet exists)
*Name Meaning (in English)
*An English Common Name, where one is in regular use
*Distinguishing characteristics of animals within the Phylum
*An approximate number of species described within that Phylum. Since zoology fortunately refuses to stand still, this number can change.

Oh! And there's a quiz at the end.
See also [[/Lesson Plan for Animal Phyla/]]. Or head to [[Introduction to Taxonomy]] for more on that topic. You can also visit [[Plant Divisions (Phyla)]], the equivalent page for plants.

==Acanthocephalae==
[[Image:Macracanthorhynchus_hirudinaceus_adult_BAM1.jpg|thumb|100px|left|An Acanthocephalan, ''Macracanthorhynchus hirudinaceus'', adult.]]
[[/Acanthocephala/]]

Name Meaning: Horny head

English Common Name: Horny-headed worms

Major distinguishing characteristics: Reversible spiny proboscis

Approximate number of species described: 1,151

==Acoelomorpha==
[[File:Acoelomorpha.jpg|thumb|100px|left|Acoelomorpha]]
[[/Acoelomorpha/]]

Name Meaning: Without gut

English Common Name: Acoels

Major distinguishing characteristics: No mouth or alimentary canal

Approximate number of species described: 50,000

== Annelida ==
&lt;div id=&quot;Annelida&quot;&gt;&lt;/div&gt;
[[Image:Reef0200.jpg|thumb|100px|left|An feather duster worm of the family Sabellidae in parchment tube.]]
[[/Annelida/]]

Name Meaning: Little ring

English Common Name: Segmented worms, annelids

Major distinguishing characteristics: Multiple circular segments

Approximate number of species described: 22,000 modern

==gross little insects==
[[Image:Chelicerae_%26_pedipalps_%288689230685%29.jpg|thumb|100px|left|A scorpion, an example of an Arthropod]]
[[/Arthropoda/]]

Name Meaning: Jointed foot

English Common Name: Arthropods

Major distinguishing characteristics: Chitin exoskeleton

Approximate number of species described: 1,134,000+
==Brachiopoda==
[[Image:Isocrania_costata_Sowerby_1823.jpg|thumb|100px|left|Brachiopod ''Isocrania costata''.]]
[[/Brachiopoda/]]

Name Meaning: Arm foot

English Common Name: Lamp shells, brachiopod

Major distinguishing characteristics: Lophophore and pedicle

Approximate number of species described: between 300 and 500 extant
==Bryozoa==
[[Image:Freshwater_Bryozoan234.JPG|thumb|100px|left|A freshwater Bryozoan, species unknown.]]
[[/Bryozoa/]]

Name Meaning: Moss animals

English Common Name: Moss animals, sea mats, bryozoans

Major distinguishing characteristics: Lophophore, no pedicle, ciliated tentacles

Approximate number of species described: about 5,000 living species
==Chaetognatha==
[[Image:Chaetognatha.PNG|thumb|100px|left|Chaetognathans.]]
[[/Chaetognatha/]]

Name Meaning: Longhair jaw

English Common Name: Arrow worms

Major distinguishing characteristics: Chitinous spines either side of head, fins

Approximate number of species described: about 100 modern species
==Chordata==
[[Image:Clavelina lepadiformis (Müller, 1776) - Banyuls-sur-Mer - 04.83.jpg|thumb|100px|left|''Clavelina lepadiformis'', a non-vertebrate chordates.]]
[[/Chordata/]]

Name Meaning: Cord

English Common Name: Chordates

Major distinguishing characteristics: Hollow dorsal nervous chord

Approximate number of species described: about 100,000+
==Nigeria==
[[Image:Cynarina_lacrymalis.jpeg|thumb|100px|left|''Cynarina lacrymalis'' an anthozoan member of the Phylum Cnidaria.]]
[[/Cnidaria/|Nigerian]]

FROM NIGERIA

English Common Name: Coelenterates, cnidarians, sea anemones, jellies, hydra

Major distinguishing characteristics: Cnidocytes (stinging cells)

Approximate number of species described: about 11,000

==Ctenophora==
[[Image:LightRefractsOf comb-rows of ctenophore Mertensia ovum.jpg|thumb|100px|left|''Mertensia'', a Ctenophore.]]
[[/Ctenophora/]]

Name Meaning: Comb bearer

English Common Name: Comb jellies, Ctenophores

Major distinguishing characteristics: Eight &quot;comb rows&quot; of fused cilia

Approximate number of species described: about 100 modern species
==Cycliophora==
[[Image:Cycliophora - Symbion pandora.png|thumb|100px|left|''Symbion pandora'', a Cycliphoran.]]
[[/Cycliophora/]]

Name Meaning: Wheel carrying

English Common Name: Symbion

Major distinguishing characteristics: Circular mouth surrounded by small cilia

Approximate number of species described: at least 3
==Echinodermata==
[[Image:Crinoideos.jpg|thumb|100px|left|''Crinoideos'', an example of Ecinoderms.]]
[[/Echinodermata/]]

Name Meaning: Spiny skin(Body)

English Common Name: Echinoderms

Major distinguishing characteristics: Five-fold radial symmetry, mesodermal layer, calcified spines

Approximate number of species described: about 7,000 living species and 13,000 extinct ones
==Entoprocta==
[[Image:Barentsa discreta suzukokemusi01.JPG|thumb|100px|left|''Barentsa discreta suzukokemusi'', a species of goblet worm.]]
[[/Entoprocta/]]

Name Meaning: Inside anus

English Common Name: Goblet worm

Major distinguishing characteristics: Anus inside ring of cilia

Approximate number of species described: about 150
==Gastrotricha==
[[Image:Chaetonotus (Chaetonotus) polyspinosus.jpg|thumb|100px|left|''Chaetonotus polyspinosus'' a species of meiofauna.]]
[[/Gastrotricha/]]

Name Meaning: Hair stomach

English Common Name: Hairybellies, hairybacks

Major Distinguishing Characteristics: Two terminal adhesive tubes

Approximate number of species described: about 690

==Gnathostomulida==
[[Image:Gnathostomula paradoxa Sylt.tif|thumb|100px|left|''Gnathostomula paradoxa'', a jaw worm.]]
[[/Gnathostomulida/]]

Name Meaning: Jaw orifice

English Common Name: Jaw worms

Major distinguishing characteristics: 

Approximate number of species described: about 100
==Hemichordata==
[[Image:Glossograptus whitfieldii 01.jpg|thumb|100px|left|Glossograptus whitfieldii, a fossil hemichordate.]]
[[/Hemichordata/]]

Name Meaning: Half cord

English Common Name: Acorn worms

Major distinguishing characteristics: Stomochord in collar

Approximate number of species described: about 100 living species
==Kinorhyncha==
[[Image:Paracentrophyes quadridentatus.jpg|thumb|100px|left|''Paracentrophyes quadridentatus'', a mud dragon.]]
[[/Kinorhyncha/]]

Name Meaning: Motion snout

English Common Name: Mud dragons

Major distinguishing characteristics: Eleven segments, each with a dorsal plate

Approximate number of species described: about 150
==Loricifera==
[[Image:Pliciloricus enigmatus.jpg|thumb|100px|left|A member of the Phylum Loricifera, ''Pliciloricus enigmatus''.]]
[[/Loricifera/]]

Name Meaning: Corset bearer

English Common Name: Loriciferans

Major distinguishing characteristics: Umbrella-like scales at each end

Approximate number of species described: about 122

==Micrognathozoa==
[[Image:Limnonathia, drawing.tif|thumb|100px|left|''Limnonathia'', drawing, a Micrognathozoan.]]
[[/Micrognathozoa/]] (sometimes called Phylum Gnathifera)

Name Meaning: Tiny jaw animals

English Common Name: Micrognathozoans

Major distinguishing characteristics: Accordion like extensible thorax

Approximate number of species described: 1

==Mollusca==
[[Image:Shells01.jpg|thumb|100px|left|A group of Gastropod shells, Phylum Mollusca.]]
[[/Mollusca/]]

Name Meaning: Thin shell

English Common Name: Mollusks or molluscs

Major distinguishing characteristics: Muscular foot and Mantle, round shell

Approximate number of species described: 85,000


==Nematoda==
[[Image:Mermis nigrescens beentree.jpg|thumb|100px|left|''Mermis nigrescens beentree'', a nematode worm.]]
[[/Nematoda/]]

Name Meaning: Thread like

English Common Name: Round worms, Nematodes

Major distinguishing characteristics: Round cross section, keratin, cuticle

Approximate number of species described: 80 000 - 1 million
==Nematomorpha==
[[Image:Gordiidae A MRKVICKA.JPG|thumb|100px|left|A Gordian worm, Phylum Nematomorpha.]]
[[/Nematomorpha/]]

Name Meaning: Thread form

English Common Name: Horsehair worms

Major distinguishing characteristics:

Approximate number of species described: about 320
==Nemertea==
[[Image:Micrura alaskensis.png|thumb|100px|left|Micrura alaskensis, a ribbon worm.]]
[[/Nemertea/]]

Name Meaning: A sea nymph

English Common Name: Ribbon worms

Major distinguishing characteristics:

Approximate number of species described: about 1200
==Onychophora==
[[Image:Euperipatoides kanangrensis crop.jpg|thumb|100px|left|''Euperipatoides kanangrensis'', a velvet worm.]]
[[/Onychophora/]]

Name Meaning: Claw bearer

English Common Name: Velvet worms

Major distinguishing characteristics: Legs tipped by chitinous claws

Approximate number of species described: about 200 modern
==Orthonectida==
&lt;div id=&quot;Orthonectida&quot;&gt;&lt;/div&gt;
[[Image:Orthonetida dict flat and cylinder.png|thumb|100px|left|Orthonetida, an Orthonectidan.]]
[[/Orthonectida/]]

Name Meaning: Straight swim

English Common Name: Orthonectida

Major distinguishing characteristics:

Approximate number of species described: about 20

==Phoronida==
[[Image:Phoronis Maria Grazia Montanucci2.jpg|thumb|100px|left|'' Phoronis hippocrepis'', a species of horseshoe worm.]]
[[/Phoronida/]]

Name Meaning: Zeus' mistress

English Common Name: Horseshoe worms

Major distinguishing characteristics: U-shaped gut

Approximate number of species described: 20
==Placozoa==
[[Image:Trichoplax adhaerens photograph.png|thumb|100px|left|''Trichoplax adhaerens'', the only Placozoan.]]
[[/Placozoa/]]

Name Meaning: Plate animals

English Common Name: none

Major distinguishing characteristics:

Approximate number of species described: 1
==Platyhelminthes==
[[Image:Gigantolina.elongata.in.vivo.png|thumb|100px|left|''Gigantolina elongata'', a flat worm.]]
[[/Platyhelminthes/]]

Name Meaning: Flat worms

English Common Name: Flat worms

Major distinguishing characteristics:

Approximate number of species described: about 25,000
==Porifera==
[[Image:Eponge à déterminer (1).jpg|thumb|100px|left|An unidentified sponge.]]
[[/Porifera/]]

Name Meaning: Pore bearer

English Common Name: Sponges

Major distinguishing characteristics: Perforated interior wall

Approximate number of species described: over 5,000 modern
==Priapulida==
[[Image:Adult priapulid.jpg|thumb|100px|left|''Priapulus caudatus'', a Priapulid worm.]]
[[/Priapulida/]]

Name Meaning: Penis

English Common Name: Priapulid worms

Major distinguishing characteristics: Retractable proboscis surrounded by papillae

Approximate number of species described: 17
==Rhombozoa==
&lt;div id=&quot;Rhombozoa&quot;&gt;&lt;/div&gt;
[[Image:Dicyema japonicum.png |thumb|100px|left|''Dicyema japonicum'', a rhombozoan.]]
[[/Rhombozoa/]]

Name Meaning: Rhombus animal

English Common Name: Rhombozoans

Major distinguishing characteristics: Single axial cell surrounded by ciliated cells

Approximate number of species described: 75

==Rotifera==
[[Image:20090730 020239 Rotifer.jpg|thumb|100px|left|An unidentified rotifer.]]
[[/Rotifera/]]

Name Meaning: Wheel bearer

English Common Name: Rotifers

Major distinguishing characteristics: Anterior crown of cilia

Approximate number of species described: about 2000
==Tardigrada==
[[Image:SEM image of Milnesium tardigradum in active state - journal.pone.0045682.g001-2.png|thumb|100px|left|Tardigrade ''Milnesium tardigradum'' in active state.]]
[[/Tardigrada/]]

Name Meaning: Slow step

English Common Name: Water bears

Major distinguishing characteristics: Four segmented body and head

Approximate number of species described: 1,000+
==Xenoturbellida==
[[Image:Xenoturbella bockii longitudinal section.svg|thumb|100px|left|''Xenoturbella bockii'' longitudinal section.]]
[[/Xenoturbellida/]]

Name Meaning: Strange flatworm

English Common Name: none

Major distinguishing characteristics: Ciliated deuterostome

Approximate number of species described: 2
==Quizzes==
* [[/Quiz/|Animal Phyla Quiz]]

==References==
{{reflist}}
*Brusca, Richard C., Wendy Moore, Stephen M. Shuster. Invertebrate Zoology 3rd ed. 2016. Sinauer. 1104 pp.
*[https://en.wikipedia.org/wiki/Phylum Phylum] on Wikipedia
[[Category:Lists]]
[[Category:Taxonomy]]
[[Category:Zoology]]
[[Category:Animals]]
{{science}} {{biology}}</text>
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      <comment>Reverted edits by [[Special:Contributions/~2026-22056-68|~2026-22056-68]] ([[User_talk:~2026-22056-68|talk]]) to last version by [[User:SHB2000|SHB2000]] using [[Wikiversity:Rollback|rollback]]</comment>
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      <text bytes="12837" sha1="rn288oh18cngo7z2g38hyyczmbqyn61" xml:space="preserve">[[Image:Animalia diversity.jpg|thumb|300px|right|Some examples of animal diversity.]]
A Phylum (pl. Phyla) is the largest formal major grouping within animal taxonomy.
This list is presented in alphabetical order, and not in any systematic/evolutionary arrangement.
This list is also available in [[/Table/|table form]]. Science is by no means static. There are arguments of all sizes and shapes about the taxonomy of the Animal Phyla. Other sources may combine or split these listed Phyla. However, at this time, the list presented here should stand in good stead for an introduction to the topic of animal diversity.

There are approximately 1.9 million animal species that have been described by science.

This list tries to give the following information on each Phylum:
*Phyllum Name
*A link to a sub-page discussing that Phylum in more detail (if it yet exists)
*Name Meaning (in English)
*An English Common Name, where one is in regular use
*Distinguishing characteristics of animals within the Phylum
*An approximate number of species described within that Phylum. Since zoology fortunately refuses to stand still, this number can change.

Oh! And there's a quiz at the end.
See also [[/Lesson Plan for Animal Phyla/]]. Or head to [[Introduction to Taxonomy]] for more on that topic. You can also visit [[Plant Divisions (Phyla)]], the equivalent page for plants.

==Acanthocephalae==
[[Image:Macracanthorhynchus_hirudinaceus_adult_BAM1.jpg|thumb|100px|left|An Acanthocephalan, ''Macracanthorhynchus hirudinaceus'', adult.]]
[[/Acanthocephala/]]

Name Meaning: Horny head

English Common Name: Horny-headed worms

Major distinguishing characteristics: Reversible spiny proboscis

Approximate number of species described: 1,151

==Acoelomorpha==
[[File:Acoelomorpha.jpg|thumb|100px|left|Acoelomorpha]]
[[/Acoelomorpha/]]

Name Meaning: Without gut

English Common Name: Acoels

Major distinguishing characteristics: No mouth or alimentary canal

Approximate number of species described: 50,000

== Annelida ==
&lt;div id=&quot;Annelida&quot;&gt;&lt;/div&gt;
[[Image:Reef0200.jpg|thumb|100px|left|An feather duster worm of the family Sabellidae in parchment tube.]]
[[/Annelida/]]

Name Meaning: Little ring

English Common Name: Segmented worms, annelids

Major distinguishing characteristics: Multiple circular segments

Approximate number of species described: 22,000 modern

==Arthropoda==
[[Image:Chelicerae_%26_pedipalps_%288689230685%29.jpg|thumb|100px|left|A scorpion, an example of an Arthropod]]
[[/Arthropoda/]]

Name Meaning: Jointed foot

English Common Name: Arthropods

Major distinguishing characteristics: Chitin exoskeleton

Approximate number of species described: 1,134,000+
==Brachiopoda==
[[Image:Isocrania_costata_Sowerby_1823.jpg|thumb|100px|left|Brachiopod ''Isocrania costata''.]]
[[/Brachiopoda/]]

Name Meaning: Arm foot

English Common Name: Lamp shells, brachiopod

Major distinguishing characteristics: Lophophore and pedicle

Approximate number of species described: between 300 and 500 extant
==Bryozoa==
[[Image:Freshwater_Bryozoan234.JPG|thumb|100px|left|A freshwater Bryozoan, species unknown.]]
[[/Bryozoa/]]

Name Meaning: Moss animals

English Common Name: Moss animals, sea mats, bryozoans

Major distinguishing characteristics: Lophophore, no pedicle, ciliated tentacles

Approximate number of species described: about 5,000 living species
==Chaetognatha==
[[Image:Chaetognatha.PNG|thumb|100px|left|Chaetognathans.]]
[[/Chaetognatha/]]

Name Meaning: Longhair jaw

English Common Name: Arrow worms

Major distinguishing characteristics: Chitinous spines either side of head, fins

Approximate number of species described: about 100 modern species
==Chordata==
[[Image:Clavelina lepadiformis (Müller, 1776) - Banyuls-sur-Mer - 04.83.jpg|thumb|100px|left|''Clavelina lepadiformis'', a non-vertebrate chordates.]]
[[/Chordata/]]

Name Meaning: Cord

English Common Name: Chordates

Major distinguishing characteristics: Hollow dorsal nervous chord

Approximate number of species described: about 100,000+
==Cnidaria==
[[Image:Cynarina_lacrymalis.jpeg|thumb|100px|left|''Cynarina lacrymalis'' an anthozoan member of the Phylum Cnidaria.]]
[[/Cnidaria/]]

Name Meaning: Stinging nettle

English Common Name: Coelenterates, cnidarians, sea anemones, jellies, hydra

Major distinguishing characteristics: Cnidocytes (stinging cells)

Approximate number of species described: about 11,000

==Ctenophora==
[[Image:LightRefractsOf comb-rows of ctenophore Mertensia ovum.jpg|thumb|100px|left|''Mertensia'', a Ctenophore.]]
[[/Ctenophora/]]

Name Meaning: Comb bearer

English Common Name: Comb jellies, Ctenophores

Major distinguishing characteristics: Eight &quot;comb rows&quot; of fused cilia

Approximate number of species described: about 100 modern species
==Cycliophora==
[[Image:Cycliophora - Symbion pandora.png|thumb|100px|left|''Symbion pandora'', a Cycliphoran.]]
[[/Cycliophora/]]

Name Meaning: Wheel carrying

English Common Name: Symbion

Major distinguishing characteristics: Circular mouth surrounded by small cilia

Approximate number of species described: at least 3
==Echinodermata==
[[Image:Crinoideos.jpg|thumb|100px|left|''Crinoideos'', an example of Ecinoderms.]]
[[/Echinodermata/]]

Name Meaning: Spiny skin(Body)

English Common Name: Echinoderms

Major distinguishing characteristics: Five-fold radial symmetry, mesodermal layer, calcified spines

Approximate number of species described: about 7,000 living species and 13,000 extinct ones
==Entoprocta==
[[Image:Barentsa discreta suzukokemusi01.JPG|thumb|100px|left|''Barentsa discreta suzukokemusi'', a species of goblet worm.]]
[[/Entoprocta/]]

Name Meaning: Inside anus

English Common Name: Goblet worm

Major distinguishing characteristics: Anus inside ring of cilia

Approximate number of species described: about 150
==Gastrotricha==
[[Image:Chaetonotus (Chaetonotus) polyspinosus.jpg|thumb|100px|left|''Chaetonotus polyspinosus'' a species of meiofauna.]]
[[/Gastrotricha/]]

Name Meaning: Hair stomach

English Common Name: Hairybellies, hairybacks

Major Distinguishing Characteristics: Two terminal adhesive tubes

Approximate number of species described: about 690

==Gnathostomulida==
[[Image:Gnathostomula paradoxa Sylt.tif|thumb|100px|left|''Gnathostomula paradoxa'', a jaw worm.]]
[[/Gnathostomulida/]]

Name Meaning: Jaw orifice

English Common Name: Jaw worms

Major distinguishing characteristics: 

Approximate number of species described: about 100
==Hemichordata==
[[Image:Glossograptus whitfieldii 01.jpg|thumb|100px|left|Glossograptus whitfieldii, a fossil hemichordate.]]
[[/Hemichordata/]]

Name Meaning: Half cord

English Common Name: Acorn worms

Major distinguishing characteristics: Stomochord in collar

Approximate number of species described: about 100 living species
==Kinorhyncha==
[[Image:Paracentrophyes quadridentatus.jpg|thumb|100px|left|''Paracentrophyes quadridentatus'', a mud dragon.]]
[[/Kinorhyncha/]]

Name Meaning: Motion snout

English Common Name: Mud dragons

Major distinguishing characteristics: Eleven segments, each with a dorsal plate

Approximate number of species described: about 150
==Loricifera==
[[Image:Pliciloricus enigmatus.jpg|thumb|100px|left|A member of the Phylum Loricifera, ''Pliciloricus enigmatus''.]]
[[/Loricifera/]]

Name Meaning: Corset bearer

English Common Name: Loriciferans

Major distinguishing characteristics: Umbrella-like scales at each end

Approximate number of species described: about 122

==Micrognathozoa==
[[Image:Limnonathia, drawing.tif|thumb|100px|left|''Limnonathia'', drawing, a Micrognathozoan.]]
[[/Micrognathozoa/]] (sometimes called Phylum Gnathifera)

Name Meaning: Tiny jaw animals

English Common Name: Micrognathozoans

Major distinguishing characteristics: Accordion like extensible thorax

Approximate number of species described: 1

==Mollusca==
[[Image:Shells01.jpg|thumb|100px|left|A group of Gastropod shells, Phylum Mollusca.]]
[[/Mollusca/]]

Name Meaning: Thin shell

English Common Name: Mollusks or molluscs

Major distinguishing characteristics: Muscular foot and Mantle, round shell

Approximate number of species described: 85,000


==Nematoda==
[[Image:Mermis nigrescens beentree.jpg|thumb|100px|left|''Mermis nigrescens beentree'', a nematode worm.]]
[[/Nematoda/]]

Name Meaning: Thread like

English Common Name: Round worms, Nematodes

Major distinguishing characteristics: Round cross section, keratin, cuticle

Approximate number of species described: 80 000 - 1 million
==Nematomorpha==
[[Image:Gordiidae A MRKVICKA.JPG|thumb|100px|left|A Gordian worm, Phylum Nematomorpha.]]
[[/Nematomorpha/]]

Name Meaning: Thread form

English Common Name: Horsehair worms

Major distinguishing characteristics:

Approximate number of species described: about 320
==Nemertea==
[[Image:Micrura alaskensis.png|thumb|100px|left|Micrura alaskensis, a ribbon worm.]]
[[/Nemertea/]]

Name Meaning: A sea nymph

English Common Name: Ribbon worms

Major distinguishing characteristics:

Approximate number of species described: about 1200
==Onychophora==
[[Image:Euperipatoides kanangrensis crop.jpg|thumb|100px|left|''Euperipatoides kanangrensis'', a velvet worm.]]
[[/Onychophora/]]

Name Meaning: Claw bearer

English Common Name: Velvet worms

Major distinguishing characteristics: Legs tipped by chitinous claws

Approximate number of species described: about 200 modern
==Orthonectida==
&lt;div id=&quot;Orthonectida&quot;&gt;&lt;/div&gt;
[[Image:Orthonetida dict flat and cylinder.png|thumb|100px|left|Orthonetida, an Orthonectidan.]]
[[/Orthonectida/]]

Name Meaning: Straight swim

English Common Name: Orthonectida

Major distinguishing characteristics:

Approximate number of species described: about 20

==Phoronida==
[[Image:Phoronis Maria Grazia Montanucci2.jpg|thumb|100px|left|'' Phoronis hippocrepis'', a species of horseshoe worm.]]
[[/Phoronida/]]

Name Meaning: Zeus' mistress

English Common Name: Horseshoe worms

Major distinguishing characteristics: U-shaped gut

Approximate number of species described: 20
==Placozoa==
[[Image:Trichoplax adhaerens photograph.png|thumb|100px|left|''Trichoplax adhaerens'', the only Placozoan.]]
[[/Placozoa/]]

Name Meaning: Plate animals

English Common Name: none

Major distinguishing characteristics:

Approximate number of species described: 1
==Platyhelminthes==
[[Image:Gigantolina.elongata.in.vivo.png|thumb|100px|left|''Gigantolina elongata'', a flat worm.]]
[[/Platyhelminthes/]]

Name Meaning: Flat worms

English Common Name: Flat worms

Major distinguishing characteristics:

Approximate number of species described: about 25,000
==Porifera==
[[Image:Eponge à déterminer (1).jpg|thumb|100px|left|An unidentified sponge.]]
[[/Porifera/]]

Name Meaning: Pore bearer

English Common Name: Sponges

Major distinguishing characteristics: Perforated interior wall

Approximate number of species described: over 5,000 modern
==Priapulida==
[[Image:Adult priapulid.jpg|thumb|100px|left|''Priapulus caudatus'', a Priapulid worm.]]
[[/Priapulida/]]

Name Meaning: Penis

English Common Name: Priapulid worms

Major distinguishing characteristics: Retractable proboscis surrounded by papillae

Approximate number of species described: 17
==Rhombozoa==
&lt;div id=&quot;Rhombozoa&quot;&gt;&lt;/div&gt;
[[Image:Dicyema japonicum.png |thumb|100px|left|''Dicyema japonicum'', a rhombozoan.]]
[[/Rhombozoa/]]

Name Meaning: Rhombus animal

English Common Name: Rhombozoans

Major distinguishing characteristics: Single axial cell surrounded by ciliated cells

Approximate number of species described: 75

==Rotifera==
[[Image:20090730 020239 Rotifer.jpg|thumb|100px|left|An unidentified rotifer.]]
[[/Rotifera/]]

Name Meaning: Wheel bearer

English Common Name: Rotifers

Major distinguishing characteristics: Anterior crown of cilia

Approximate number of species described: about 2000
==Tardigrada==
[[Image:SEM image of Milnesium tardigradum in active state - journal.pone.0045682.g001-2.png|thumb|100px|left|Tardigrade ''Milnesium tardigradum'' in active state.]]
[[/Tardigrada/]]

Name Meaning: Slow step

English Common Name: Water bears

Major distinguishing characteristics: Four segmented body and head

Approximate number of species described: 1,000+
==Xenoturbellida==
[[Image:Xenoturbella bockii longitudinal section.svg|thumb|100px|left|''Xenoturbella bockii'' longitudinal section.]]
[[/Xenoturbellida/]]

Name Meaning: Strange flatworm

English Common Name: none

Major distinguishing characteristics: Ciliated deuterostome

Approximate number of species described: 2
==Quizzes==
* [[/Quiz/|Animal Phyla Quiz]]

==References==
{{reflist}}
*Brusca, Richard C., Wendy Moore, Stephen M. Shuster. Invertebrate Zoology 3rd ed. 2016. Sinauer. 1104 pp.
*[https://en.wikipedia.org/wiki/Phylum Phylum] on Wikipedia
[[Category:Lists]]
[[Category:Taxonomy]]
[[Category:Zoology]]
[[Category:Animals]]
{{science}} {{biology}}</text>
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Salvēte omnēs! Welcome back to Latin for Wikiversity. Here you can peruse a new lesson in Latin, in a simple format. If you would like to catch up, you can find a directory of lessons, a classified vocabulary list, and Memrise courses at the links on the right. 
==New Grammar==

In this lesson we begin our study of the perfect tense in Latin. You’ll remember we’ve studied three tenses so far, present, imperfect, and future, which together make up the “present system” and are formed with the “present stem.” The perfect tense describes completed past action, while the imperfect tense describes continuous, ongoing, or habitual past action. “Perfectus” in Latin means “finished/completed.” The perfect tense is the most common past tense in Latin.

It is formed very regularly for all four conjugations and even irregular verbs, but because it requires the third principal part of the verb (the “perfect stem”) it demands more advanced vocabulary study and memorization than most beginning students realize. Now is an excellent time to get busy with vocabulary cards: it’s not enough to know that ''dō'' = give; try memorizing: 
:''[[wiktionary:do#Latin|dō]], dare, dedī, datus'' (1) = give. 

You’ll need that 3rd form, dedī, to form the perfect tense.

Now taking the stem of that 3rd principal part (everything but the ī), add the endings ī, istī, it, imus, istis, ērunt:
{| class=&quot;wikitable&quot;
! Part
! Formation
! English
|-
| 1st person singular || -ī -&gt; dedī || I have given, I gave, I did give
|-
| 2nd person singular || -istī -&gt; dedistī || you have given, you gave, you did give
|-
| 3rd person singular ||  -it -&gt; dedit || he/she/it has given, gave, did give
|-
| 1st person plural ||  imus -&gt; dedimus || we have given, we gave, we did give
|-
| 2nd person plural || istis -&gt; dedistis || you pl. have given, you gave, you did give
|-
| 3rd person plural || ērunt -&gt; dedērunt || they have given, they gave, they did give
|}
You’ll notice that the 1st person singular of the perfect tense ''is'' the 3rd principal part, so remember the ''–ī'' is not part of the stem. You’ll use that same stem to form the pluperfect and future perfect, further on down the line.

Teachers may often feel like they are nagging their students to study vocabulary when we reach the perfect tense, but it really does help. For this lesson we’ll add in a list of the verbs we’re using, but you may want to go to the above link to the vocabulary list and scroll down to study a whole bunch of verbs at once.

Also, the 3rd person singular and 1st person plural of some verbs are identical in present and perfect tenses when written without macrons, as most texts are. For example, ''venit'' can mean he comes, or he came; ''edimus'' = we eat, we ate. The imperative singular and the 1st person singular perfect of some verbs are identical when written without macrons; ''Veni'' can mean either “Come!” or “I came.” Fortunately this doesn’t happen too often and context will solve most issues.

In case this wasn’t enough of a grammar explanation for you, there is more [[wikibooks:Latin/Lesson_5-Perfect_Indicative|here]].

==Verbs in this lesson==
{| class=&quot;wikitable&quot; 
! | Latin 
! | English 
! | Audio (Classical)
! | Notes
|-
| [[wiktionary:do#Latin|dō]], dare, dedī, datus, 1 ||  give || [[File:la-cls-do.ogg|thumb|]] ||
|- 
| [[wiktionary:habeo#Latin|habeō]], habēre, habuī, habitus, 2 ||  have || [[File:la-cls-habeo.ogg|thumb|]] ||
|- 
| [[wiktionary:video#Latin|videō]], vidēre, vīdī, visus, 2 ||  see || [[File:la-cls-video.ogg|thumb|]] ||
|- 
| [[wiktionary:bibo#Latin|bibō]], bibere, bibī, (bibus/bibitum), 3 ||  drink || &lt;!--[[File:la-cls-bibo.ogg|thumb|]]--&gt; ||
|- 
| [[wiktionary:edo#Latin|edō]], edere, ēdī, ēsum, 3 ||  eat || &lt;!--[[File:la-cls-edo.ogg|thumb|]]--&gt; ||
|- 
| [[wiktionary:lego#Latin|legō]], legere, lēgī, lēctus, 3 ||  read (gather, collect) || &lt;!--[[File:la-cls-lego.ogg|thumb|]]--&gt; ||
|- 
| [[wiktionary:venio#Latin|veniō]], venīre, vēnī, ventus, 4 ||  come  || [[File:la-cls-venio.ogg|thumb|]] ||
|- 
| [[wiktionary:vinco#Latin|vincō]], vincere, vīcī, victus, 3 ||  conquer, win || &lt;!--[[File:la-cls-vinco.ogg|thumb|]]--&gt; ||
|- 
| [[wiktionary:possum#Latin|possum]], posse, potuī, irreg. ||  am able, can || [[File:la-cls-possum.ogg|thumb|]] ||
|- 
| [[wiktionary:sum#Latin|sum]], esse, fuī, futūrus, irreg. ||  I am || [[File:la-cls-sum.ogg|thumb|]] ||
|}

==New Sentences==
{| class=&quot;wikitable&quot; style=&quot;width: 70%;&quot;
! style=&quot;width: 30%;&quot; | Latin 
! style=&quot;width: 30%;&quot; | English 
! style=&quot;width: 40%;&quot; | Notes
|-
| Cervisiam bibistī, sed Mārcus aquam bibit. ||  You drank beer, but Marcus drank water. ||
|- 
| Discipuli pānem ēdērunt et lac bibērunt. ||  The students ate bread and drank milk. ||
|- 
| Mālum ēdī, sed Lūcia frāgum ēdit. ||  I ate an apple, but Lucia ate a strawberry. ||
|- 
| In caupōnā herī ēdimus. ||  We ate at a restaurant yesterday. ||
|- 
| Raedam numquam habuī. ||  I have never had a car. ||
|- 
| Mārcus et Lūcia pecūniam nōn habuērunt. ||  Marcus and Lucia did not have money. ||
|- 
| Paula duōs filiōs habuit. ||  Paula had two sons. ||
|- 
| Ubi fuistī (fuistis)? ||  Where were you?  ||
|- 
| Fēlīcēs fuimus. ||  We were fortunate. ||
|- 
| Paula fuit magistra; Mārcus et Gāius discipulī fuērunt. ||  Paula was the teacher; Marcus and Gaius were students. ||
|- 
| Cum parvus puer fuī, rēgem vīdī. ||  When I was a little boy, I saw the king. ||
|- 
| Simiās in vīvāriō vīdimus. ||  We saw monkeys in the zoo. ||
|- 
| Vīdistīne eam? ||  Have you seen her? ||
|- 
| Quandō vēnistī? ||  When did you come? ||
|- 
| Paula domum vēnit, cenam ēdit, et diārium lēgit. ||  Paula came home, ate dinner, and read the newspaper. || OR (without macrons) Paula comes home, eats dinner, and reads the newspaper.
|- 
| [[wiktionary:veni, vidi, vici#Latin|Vēnī, vīdī, vīcī]]. ||  I came, I saw, I conquered. || Julius Caesar
|- 
| Lēgēruntne librum? ||  Did they read the book? ||
|- 
| Vidēre potuī. ||  I was able to see. ||
|- 
| Potuistīne venīre? ||  Were you able to come? ||
|- 
| Invenīre librōs nōn potuimus. ||  We could not find the books. ||
|- 
| Librum tibi dedī. ||  I gave you a book. ||
|- 
| Librum mihi dedistī (dedistis). ||  You gave me a book.  ||
|- 
| Pecūniam nōbīs dedit. ||  He gave us money. ||
|- 
| Pecūniam eīs dedimus. ||  We gave them money. ||
|- 
| Pecūniam eī dedērunt. ||  They gave him (her) money. ||
|}

==Practice==
{| class=&quot;wikitable style=&quot;width: 70%;&quot;
! colspan=&quot;2&quot; | Practice and learn the words and phrases in this lesson
|-
| '''Step one''' || First learn the words using this lesson:
* [https://community-courses.memrise.com/community/course/748509/carpe-lanams-latin/34/ Perfect Tense vocabulary]
|-
| '''Step two''' || Next try learning and writing the sentencing using this:
* [https://community-courses.memrise.com/community/course/906792/carpe-lanams-latin-sentences/34/ Perfect Tense Sentences]
|-
| colspan=&quot;2&quot; | Note that the Memrise stage covers the content for all lessons in each stage. &lt;br/&gt;If you are skipping previous stages you may need to manually &quot;ignore&quot; the words in previous levels (use the 'select all' function)
|}
Those are probably enough sentences to start with. Until next lesson on the perfect tense, ''valēte!''


{{subpage navbar}}

{{CourseCat}}

[[Category:Grammatical tenses]]</text>
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      <contributor>
        <username>Jtneill</username>
        <id>10242</id>
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      <comment>+  File:Emotion Recognition Deficit.jpg</comment>
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      <text bytes="1136" sha1="2eqc6v4nt9e9jm8967mr7hnyrkxwx0d" xml:space="preserve">==Images==
&lt;gallery&gt;
File:Emotion Categories.png
File:Font Awesome 5 solid car-crash.svg
File:Emotion Recognition Deficit.jpg
&lt;!-- File:Personality Question 7741.svg --&gt;
File:Emotion collage.png
File:Scared Girl.jpg
File:Angry woman.jpg
File:Disgust expression cropped.jpg
File:Contempt.jpg
&lt;!-- File:PSM V36 D704 Facial expression of contempt.jpg --&gt;
File:Sad girl cropped.jpg
File:Interest.jpg
File:Happiness cropped.jpg
File:Taunting 0001 cropped.jpg
File:Daddy, what did You do in the Great War cropped.jpg
File:Embarrassed woman.jpg
File:US Navy 061224-N-9909C-009 A proud father and Sailor from the destroyer USS Halsey (DDG 97) holds his child for the first time.jpg
File:Subtle envy.jpg
File:Wikimania Volunteers Gratitude Meetup P1050338 cropped.jpg
File:1868 Renoir Summer anagoria cropped.jpg
File:Regret cropped.jpg
File:Hopeful child.jpg
File:Schadenfreude.png
&lt;!-- File:Smug face cropped.jpg --&gt;
File:Evstafiev-bosnia-sarajevo-funeral-reaction cropped.jpg
File:US specialist helping Afghan nomads cropped.jpg
&lt;/gallery&gt;

[[Motivation and emotion/Lectures/Individual emotions]]

[[Category:Motivation and emotion/Lectures]]</text>
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        <id>10242</id>
      </contributor>
      <comment>+ File:Fear facial expression.jpg</comment>
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&lt;gallery&gt;
File:Emotion Categories.png
File:Font Awesome 5 solid car-crash.svg
File:Emotion Recognition Deficit.jpg
&lt;!-- File:Personality Question 7741.svg --&gt;
File:Emotion collage.png
&lt;!-- File:Scared Girl.jpg Good image but hands cover face, so can't see facial expression --&gt;
File:Fear facial expression.jpg
File:Angry woman.jpg
File:Disgust expression cropped.jpg
File:Contempt.jpg
&lt;!-- File:PSM V36 D704 Facial expression of contempt.jpg --&gt;
File:Sad girl cropped.jpg
File:Interest.jpg
File:Happiness cropped.jpg
File:Taunting 0001 cropped.jpg
File:Daddy, what did You do in the Great War cropped.jpg
File:Embarrassed woman.jpg
File:US Navy 061224-N-9909C-009 A proud father and Sailor from the destroyer USS Halsey (DDG 97) holds his child for the first time.jpg
File:Subtle envy.jpg
File:Wikimania Volunteers Gratitude Meetup P1050338 cropped.jpg
File:1868 Renoir Summer anagoria cropped.jpg
File:Regret cropped.jpg
File:Hopeful child.jpg
File:Schadenfreude.png
&lt;!-- File:Smug face cropped.jpg --&gt;
File:Evstafiev-bosnia-sarajevo-funeral-reaction cropped.jpg
File:US specialist helping Afghan nomads cropped.jpg
&lt;/gallery&gt;

[[Motivation and emotion/Lectures/Individual emotions]]

[[Category:Motivation and emotion/Lectures]]</text>
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      <contributor>
        <username>Jtneill</username>
        <id>10242</id>
      </contributor>
      <comment>/* Images */ + File:Triumphant newlyweds.jpg</comment>
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      <text bytes="1271" sha1="4s3fv86hq2jtdh7di9uoqyhe0wmitgd" xml:space="preserve">==Images==
&lt;gallery&gt;
File:Emotion Categories.png
File:Font Awesome 5 solid car-crash.svg
File:Emotion Recognition Deficit.jpg
&lt;!-- File:Personality Question 7741.svg --&gt;
File:Emotion collage.png
&lt;!-- File:Scared Girl.jpg Good image but hands cover face, so can't see facial expression --&gt;
File:Fear facial expression.jpg
File:Angry woman.jpg
File:Disgust expression cropped.jpg
File:Contempt.jpg
&lt;!-- File:PSM V36 D704 Facial expression of contempt.jpg --&gt;
File:Sad girl cropped.jpg
File:Interest.jpg
File:Happiness cropped.jpg
File:Taunting 0001 cropped.jpg
File:Daddy, what did You do in the Great War cropped.jpg
File:Embarrassed woman.jpg
File:US Navy 061224-N-9909C-009 A proud father and Sailor from the destroyer USS Halsey (DDG 97) holds his child for the first time.jpg
File:Triumphant newlyweds.jpg
File:Subtle envy.jpg
File:Wikimania Volunteers Gratitude Meetup P1050338 cropped.jpg
File:1868 Renoir Summer anagoria cropped.jpg
File:Regret cropped.jpg
File:Hopeful child.jpg
File:Schadenfreude.png
&lt;!-- File:Smug face cropped.jpg --&gt;
File:Evstafiev-bosnia-sarajevo-funeral-reaction cropped.jpg
File:US specialist helping Afghan nomads cropped.jpg
&lt;/gallery&gt;

[[Motivation and emotion/Lectures/Individual emotions]]

[[Category:Motivation and emotion/Lectures]]</text>
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      <timestamp>2026-04-10T11:50:50Z</timestamp>
      <contributor>
        <username>Jtneill</username>
        <id>10242</id>
      </contributor>
      <comment>+ File:Boy begging in Agra.jpg</comment>
      <origin>2804137</origin>
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      <format>text/x-wiki</format>
      <text bytes="1309" sha1="ckmmodgkx8g0wjykbpokfduohg1tx9b" xml:space="preserve">==Images==
&lt;gallery&gt;
File:Emotion Categories.png
File:Font Awesome 5 solid car-crash.svg
File:Emotion Recognition Deficit.jpg
&lt;!-- File:Personality Question 7741.svg --&gt;
File:Emotion collage.png
&lt;!-- File:Scared Girl.jpg Good image but hands cover face, so can't see facial expression --&gt;
File:Fear facial expression.jpg
File:Angry woman.jpg
File:Disgust expression cropped.jpg
File:Contempt.jpg
&lt;!-- File:PSM V36 D704 Facial expression of contempt.jpg --&gt;
File:Sad girl cropped.jpg
File:Interest.jpg
File:Happiness cropped.jpg
File:Taunting 0001 cropped.jpg
File:Daddy, what did You do in the Great War cropped.jpg
File:Embarrassed woman.jpg
File:US Navy 061224-N-9909C-009 A proud father and Sailor from the destroyer USS Halsey (DDG 97) holds his child for the first time.jpg
File:Triumphant newlyweds.jpg
File:Subtle envy.jpg
File:Boy begging in Agra.jpg
&lt;!-- File:Wikimania Volunteers Gratitude Meetup P1050338 cropped.jpg
File:1868 Renoir Summer anagoria cropped.jpg --&gt;
File:Regret cropped.jpg
File:Hopeful child.jpg
File:Schadenfreude.png
&lt;!-- File:Smug face cropped.jpg --&gt;
File:Evstafiev-bosnia-sarajevo-funeral-reaction cropped.jpg
File:US specialist helping Afghan nomads cropped.jpg
&lt;/gallery&gt;

[[Motivation and emotion/Lectures/Individual emotions]]

[[Category:Motivation and emotion/Lectures]]</text>
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      <text bytes="2251" sha1="cue2rtwqesrfuhw5mqac5h86tv51gg4" xml:space="preserve">&lt;noinclude&gt;{{title|Figures}}&lt;/noinclude&gt;
[[File:Example.jpg|150px|right|thumb|''Figure X''. An example image with an APA style caption, right justified and 150px in size.]]

The easiest/simplest way of embedding an image is to use what is already available in [[commons:Wiki commons|Wikimedia Commons]].

You can upload an image to Commons if the copyright owner gives permission for such re-use.

Do not upload images to Wikiversity. Upload to Wikimedia Commons instead.

==Image search options==
# [[commons:Wiki commons|Wikimedia Commons]]
## The search results can be varied and might include:
### A page containing thumbnails of relevant images (e.g., [[commons:Psychology|Psychology]]
### A category containing links to sub-categories and thumbnails (e.g., [[commons:Category:Emotions|Category:Emotions]])
### A list of search results with thumbnails (e.g., [https://commons.wikimedia.org/w/index.php?search=worried worried])
## Wikimedia Commons can also be searched through the Visual Editor, Insert - Image - enter search text into the File name field.
# [https://www.google.com/advanced_image_search Google Images Advanced Search] with license filtering (Creative Commons licenses) can be used to identify free to use images (Tools - Usage rights)
# [https://search.creativecommons.org/ Creative Commons]

==Embedding an image==
# Edit a Wikiversity page and add insert an image using the Visual Editor (Edit - Insert - Media - File name). Adjust the:
## Caption
## Position
## Size 
# Repeat for a second image

==Uploading to Wikimedia Commons==
# Who is the copyright owner?
# What is the copyright license?
# If appropriate (e.g., you own the copyright or it is a free to use image with a suitable license), [[commons:Special:UploadWizard|upload]] images to Wiki Commons - [https://www.youtube.com/watch?v=pAy_kBBqs0U how to video]&lt;noinclude&gt;
[[Category:Motivation and emotion/Wikiversity]]&lt;/noinclude&gt;

==Examples==
* [[Motivation and emotion/Gallery|Motivation and emotion gallery]]

==See also==
* [[Motivation and emotion/Assessment/Chapter/Figures|Figures]] (Motivation and emotion book chapters)
* [[Help:Media]]
* [[Help:Wikitext quick reference#Images, tables, video, and sounds]]

[[Category:Motivation and emotion/Wikiversity]]</text>
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        <id>10242</id>
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      <comment>Update</comment>
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      <text bytes="2595" sha1="6ivby0yhs2pxdtwle3uknblwt7ch596" xml:space="preserve">&lt;noinclude&gt;{{title|Figures}}&lt;/noinclude&gt;
[[File:Example.jpg|150px|right|thumb|''Figure X''. An example image with an APA style caption, right justified and 150px in size.]]

The easiest/simplest way of embedding an image is to use what is already available in [[commons:Wiki commons|Wikimedia Commons]].

If there is not a suitable image to illustrate a topic, you can upload an image to Commons as long as the copyright owner gives permission for such re-use. The images should be educational.

Do not upload images to Wikiversity. Upload to Wikimedia Commons instead.

==Image search options==
# [[commons:Wiki commons|Wikimedia Commons]]
## Search quality results are mediocre but can be useful and might include the following results:
### A page with thumbnails of relevant images (e.g., [[commons:Psychology|Psychology]]
### A category (with links to sub-categories) and thumbnails (e.g., [[commons:Category:Emotions|Category:Emotions]])
### A list of search results with thumbnails (e.g., [https://commons.wikimedia.org/w/index.php?search=worried worried])
## Wikimedia Commons can also be searched through the Visual Editor on Wikiversity: Insert - Image - enter search text into the File name field.
# [https://www.google.com/advanced_image_search Google Images Advanced Search] with license filtering (Creative Commons licenses) can be used to identify free to use images (Tools - Usage rights). This provides highly quality search results.
# [https://search.creativecommons.org/ Creative Commons] provides a free image search tool.

==Embedding an image==
# Edit a Wikiversity page and add insert an image using the Visual Editor (Edit - Insert - Media - File name). Adjust the:
## Caption
## Position
## Size 
# Repeat for a second image

==Uploading to Wikimedia Commons==
If you own the copyright or it is a free to use image with a suitable license), then [[commons:Special:UploadWizard|upload]] to Commons - [https://www.youtube.com/watch?v=pAy_kBBqs0U how to video]. You will need to provide meta-data including:
# Who is the copyright owner?
# What is the copyright license?

and a description of the image.

Then you'll be able to [[#Embedding an image|embed the image]].&lt;noinclude&gt;
[[Category:Motivation and emotion/Wikiversity]]&lt;/noinclude&gt;

==Examples==
* [[Motivation and emotion/Gallery|Motivation and emotion gallery]]

==See also==
* [[Motivation and emotion/Assessment/Chapter/Figures|Figures]] (Motivation and emotion book chapters)
* [[Help:Media]]
* [[Help:Wikitext quick reference#Images, tables, video, and sounds]]

[[Category:Motivation and emotion/Wikiversity]]</text>
      <sha1>6ivby0yhs2pxdtwle3uknblwt7ch596</sha1>
    </revision>
    <revision>
      <id>2804080</id>
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      <timestamp>2026-04-10T04:11:30Z</timestamp>
      <contributor>
        <username>Jtneill</username>
        <id>10242</id>
      </contributor>
      <comment>Figures can be a powerful way to communicate and illustrate concepts in [[Motivation and emotion/Book|motivation and emotion book chapters]].</comment>
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      <text bytes="2739" sha1="0l6vcpgj39lxg3ccrg5ypleuortuuu9" xml:space="preserve">&lt;noinclude&gt;{{title|Figures}}&lt;/noinclude&gt;
[[File:Example.jpg|150px|right|thumb|''Figure X''. An example image with an APA style caption, right justified and 150px in size.]]

Figures can be a powerful way to communicate and illustrate concepts in [[Motivation and emotion/Book|motivation and emotion book chapters]]. 

The easiest/simplest way of embedding an image is to use what is already available in [[commons:Wiki commons|Wikimedia Commons]].

If there is not a suitable image to illustrate a topic, you can upload an image to Commons as long as the copyright owner gives permission for such re-use. The images should be educational.

Do not upload images to Wikiversity. Upload to Wikimedia Commons instead.

==Image search options==
# [[commons:Wiki commons|Wikimedia Commons]]
## Search quality results are mediocre but can be useful and might include the following results:
### A page with thumbnails of relevant images (e.g., [[commons:Psychology|Psychology]]
### A category (with links to sub-categories) and thumbnails (e.g., [[commons:Category:Emotions|Category:Emotions]])
### A list of search results with thumbnails (e.g., [https://commons.wikimedia.org/w/index.php?search=worried worried])
## Wikimedia Commons can also be searched through the Visual Editor on Wikiversity: Insert - Image - enter search text into the File name field.
# [https://www.google.com/advanced_image_search Google Images Advanced Search] with license filtering (Creative Commons licenses) can be used to identify free to use images (Tools - Usage rights). This provides highly quality search results.
# [https://search.creativecommons.org/ Creative Commons] provides a free image search tool.

==Embedding an image==
# Edit a Wikiversity page and add insert an image using the Visual Editor (Edit - Insert - Media - File name). Adjust the:
## Caption
## Position
## Size 
# Repeat for a second image

==Uploading to Wikimedia Commons==
If you own the copyright or it is a free to use image with a suitable license), then [[commons:Special:UploadWizard|upload]] to Commons - [https://www.youtube.com/watch?v=pAy_kBBqs0U how to video]. You will need to provide meta-data including:
# Who is the copyright owner?
# What is the copyright license?

and a description of the image.

Then you'll be able to [[#Embedding an image|embed the image]].&lt;noinclude&gt;
[[Category:Motivation and emotion/Wikiversity]]&lt;/noinclude&gt;

==Examples==
* [[Motivation and emotion/Gallery|Motivation and emotion gallery]]

==See also==
* [[Motivation and emotion/Assessment/Chapter/Figures|Figures]] (Motivation and emotion book chapters)
* [[Help:Media]]
* [[Help:Wikitext quick reference#Images, tables, video, and sounds]]

[[Category:Motivation and emotion/Wikiversity]]</text>
      <sha1>0l6vcpgj39lxg3ccrg5ypleuortuuu9</sha1>
    </revision>
    <revision>
      <id>2804081</id>
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[[File:Example.jpg|150px|right|thumb|''Figure X''. An example image with an APA style caption, right justified and 150px in size.]]

Figures can be a powerful way to communicate and illustrate concepts in [[Motivation and emotion/Book|motivation and emotion book chapters]]. 

The easiest/simplest way of embedding an image is to use what is already available in [[commons:Wiki commons|Wikimedia Commons]].

If there is not a suitable image to illustrate a topic, you can upload an image to Commons as long as the copyright owner gives permission for such re-use. The images should be educational.

Do not upload images to Wikiversity. Upload to Wikimedia Commons instead.

==Image search options==
# [[commons:Wiki commons|Wikimedia Commons]]
## Search quality results are mediocre but can be useful and might include the following results:
### A page with thumbnails of relevant images (e.g., [[commons:Psychology|Psychology]]
### A category (with links to sub-categories) and thumbnails (e.g., [[commons:Category:Emotions|Category:Emotions]])
### A list of search results with thumbnails (e.g., [https://commons.wikimedia.org/w/index.php?search=worried worried])
## Wikimedia Commons can also be searched through the Visual Editor on Wikiversity: Insert - Image - enter search text into the File name field.
# [https://www.google.com/advanced_image_search Google Images Advanced Search] with license filtering (Creative Commons licenses) can be used to identify free to use images (Tools - Usage rights). This provides highly quality search results.
# [https://search.creativecommons.org/ Creative Commons] provides a free image search tool.

==Embedding an image==
# Edit a Wikiversity page and add insert an image using the Visual Editor (Edit - Insert - Media - File name). Adjust the:
## Caption
## Position
## Size 
# Repeat for a second image

==Uploading to Wikimedia Commons==
If you own the copyright or it is a free to use image with a suitable license), then [[commons:Special:UploadWizard|upload]] to Commons - [https://www.youtube.com/watch?v=pAy_kBBqs0U how to video]. You will need to provide meta-data including:
# Who is the copyright owner?
# What is the copyright license?

and a description of the image.

Then you'll be able to [[#Embedding an image|embed the image]].&lt;noinclude&gt;
[[Category:Motivation and emotion/Wikiversity]]&lt;/noinclude&gt;

==Examples==
* [[Motivation and emotion/Gallery|Motivation and emotion gallery]]

==See also==
* [[Motivation and emotion/Assessment/Chapter/Figures|Figures]] (Motivation and emotion book chapters)
* [[Help:Media]]
* [[Help:Wikitext quick reference#Images, tables, video, and sounds]]

[[Category:Motivation and emotion/Wikiversity]]</text>
      <sha1>8qctglhoh7kj3425ox21ywoutpyjqvq</sha1>
    </revision>
  </page>
  <page>
    <title>C language in plain view</title>
    <ns>0</ns>
    <id>285380</id>
    <revision>
      <id>2803936</id>
      <parentid>2803332</parentid>
      <timestamp>2026-04-09T14:21:17Z</timestamp>
      <contributor>
        <username>Young1lim</username>
        <id>21186</id>
      </contributor>
      <comment>/* Applications */</comment>
      <origin>2803936</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="9878" sha1="mmdnvdnbbnnfksac0t3iq2gie7o26cn" xml:space="preserve">=== Introduction ===
* Overview ([[Media:C01.Intro1.Overview.1.A.20170925.pdf |A.pdf]], [[Media:C01.Intro1.Overview.1.B.20170901.pdf |B.pdf]], [[Media:C01.Intro1.Overview.1.C.20170904.pdf |C.pdf]])
* Number System ([[Media:C01.Intro2.Number.1.A.20171023.pdf |A.pdf]], [[Media:C01.Intro2.Number.1.B.20170909.pdf |B.pdf]], [[Media:C01.Intro2.Number.1.C.20170914.pdf |C.pdf]])
* Memory System ([[Media:C01.Intro2.Memory.1.A.20170907.pdf |A.pdf]], [[Media:C01.Intro3.Memory.1.B.20170909.pdf |B.pdf]], [[Media:C01.Intro3.Memory.1.C.20170914.pdf |C.pdf]])

=== Handling Repetition ===
* Control ([[Media:C02.Repeat1.Control.1.A.20170925.pdf |A.pdf]], [[Media:C02.Repeat1.Control.1.B.20170918.pdf |B.pdf]], [[Media:C02.Repeat1.Control.1.C.20170926.pdf |C.pdf]])
* Loop ([[Media:C02.Repeat2.Loop.1.A.20170925.pdf |A.pdf]], [[Media:C02.Repeat2.Loop.1.B.20170918.pdf |B.pdf]])

=== Handling a Big Work ===
* Function Overview ([[Media:C03.Func1.Overview.1.A.20171030.pdf |A.pdf]], [[Media:C03.Func1.Oerview.1.B.20161022.pdf |B.pdf]])
* Functions &amp; Variables ([[Media:C03.Func2.Variable.1.A.20161222.pdf |A.pdf]], [[Media:C03.Func2.Variable.1.B.20161222.pdf |B.pdf]])
* Functions &amp; Pointers ([[Media:C03.Func3.Pointer.1.A.20161122.pdf |A.pdf]], [[Media:C03.Func3.Pointer.1.B.20161122.pdf |B.pdf]])
* Functions &amp; Recursions ([[Media:C03.Func4.Recursion.1.A.20161214.pdf |A.pdf]], [[Media:C03.Func4.Recursion.1.B.20161214.pdf |B.pdf]])

=== Handling Series of Data ===

==== Background ==== 
* Background ([[Media:C04.Series0.Background.1.A.20180727.pdf |A.pdf]])
 
==== Basics ====
* Pointers ([[Media:C04.S1.Pointer.1A.20240524.pdf |A.pdf]], [[Media:C04.Series2.Pointer.1.B.20161115.pdf |B.pdf]])
* Arrays ([[Media:C04.S2.Array.1A.20240514.pdf |A.pdf]], [[Media:C04.Series1.Array.1.B.20161115.pdf |B.pdf]])
* Array Pointers ([[Media:C04.S3.ArrayPointer.1A.20240208.pdf |A.pdf]], [[Media:C04.Series3.ArrayPointer.1.B.20181203.pdf |B.pdf]])
* Multi-dimensional Arrays ([[Media:C04.Series4.MultiDim.1.A.20221130.pdf |A.pdf]], [[Media:C04.Series4.MultiDim.1.B.1111.pdf |B.pdf]])
* Array Access Methods ([[Media:C04.Series4.ArrayAccess.1.A.20190511.pdf |A.pdf]], [[Media:C04.Series3.ArrayPointer.1.B.20181203.pdf |B.pdf]])
* Structures ([[Media:C04.Series3.Structure.1.A.20171204.pdf |A.pdf]], [[Media:C04.Series2.Structure.1.B.20161130.pdf |B.pdf]])

==== Examples ==== 
* Spreadsheet Example Programs
:: Example 1 ([[Media:C04.Series7.Example.1.A.20171213.pdf |A.pdf]], [[Media:C04.Series7.Example.1.C.20171213.pdf |C.pdf]])
:: Example 2 ([[Media:C04.Series7.Example.2.A.20171213.pdf |A.pdf]], [[Media:C04.Series7.Example.2.C.20171213.pdf |C.pdf]])
:: Example 3 ([[Media:C04.Series7.Example.3.A.20171213.pdf |A.pdf]], [[Media:C04.Series7.Example.3.C.20171213.pdf |C.pdf]])
:: Bubble Sort ([[Media:C04.Series7.BubbleSort.1.A.20171211.pdf |A.pdf]])

==== Applications ==== 
* Address-of and de-reference operators ([[Media:C04.SA0.PtrOperator.1A.20260408.pdf |A.pdf]])
* Applications of Pointers ([[Media:C04.SA1.AppPointer.1A.20241121.pdf |A.pdf]])
* Applications of Arrays ([[Media:C04.SA2.AppArray.1A.20240715.pdf |A.pdf]])
* Applications of Array Pointers ([[Media:C04.SA3.AppArrayPointer.1A.20240210.pdf |A.pdf]])
* Applications of Multi-dimensional Arrays ([[Media:C04.Series4App.MultiDim.1.A.20210719.pdf |A.pdf]])
* Applications of Array Access Methods ([[Media:C04.Series9.AppArrAcess.1.A.20190511.pdf |A.pdf]])
* Applications of Structures ([[Media:C04.Series6.AppStruct.1.A.20190423.pdf |A.pdf]])

=== Handling Various Kinds of Data ===
* Types ([[Media:C05.Data1.Type.1.A.20180217.pdf |A.pdf]], [[Media:C05.Data1.Type.1.B.20161212.pdf |B.pdf]])
* Typecasts ([[Media:C05.Data2.TypeCast.1.A.20180217.pdf |A.pdf]], [[Media:C05.Data2.TypeCast.1.B.20161216.pdf |A.pdf]])
* Operators ([[Media:C05.Data3.Operators.1.A.20161219.pdf |A.pdf]], [[Media:C05.Data3.Operators.1.B.20161216.pdf |B.pdf]])
* Files ([[Media:C05.Data4.File.1.A.20161124.pdf |A.pdf]], [[Media:C05.Data4.File.1.B.20161212.pdf |B.pdf]])

=== Handling Low Level Operations ===
* Bitwise Operations ([[Media:BitOp.1.B.20161214.pdf |A.pdf]], [[Media:BitOp.1.B.20161203.pdf |B.pdf]])
* Bit Field ([[Media:BitField.1.A.20161214.pdf |A.pdf]], [[Media:BitField.1.B.20161202.pdf |B.pdf]])
* Union ([[Media:Union.1.A.20161221.pdf |A.pdf]], [[Media:Union.1.B.20161111.pdf |B.pdf]])
* Accessing IO Registers ([[Media:IO.1.A.20141215.pdf |A.pdf]], [[Media:IO.1.B.20161217.pdf |B.pdf]])

=== Declarations ===
* Type Specifiers and Qualifiers ([[Media:C07.Spec1.Type.1.A.20171004.pdf |pdf]])
* Storage Class Specifiers ([[Media:C07.Spec2.Storage.1.A.20171009.pdf |pdf]])
* Scope 


=== Class Notes ===

* TOC ([[Media:TOC.20171007.pdf |TOC.pdf]])
* Day01 ([[Media:Day01.A.20171007.pdf |A.pdf]], [[Media:Day01.B.20171209.pdf |B.pdf]], [[Media:Day01.C.20171211.pdf |C.pdf]]) ...... Introduction (1) Standard Library
* Day02 ([[Media:Day02.A.20171007.pdf |A.pdf]], [[Media:Day02.B.20171209.pdf |B.pdf]], [[Media:Day02.C.20171209.pdf |C.pdf]]) ...... Introduction (2) Basic Elements
* Day03 ([[Media:Day03.A.20171007.pdf |A.pdf]], [[Media:Day03.B.20170908.pdf |B.pdf]], [[Media:Day03.C.20171209.pdf |C.pdf]]) ...... Introduction (3) Numbers
* Day04 ([[Media:Day04.A.20171007.pdf |A.pdf]], [[Media:Day04.B.20170915.pdf |B.pdf]], [[Media:Day04.C.20171209.pdf |C.pdf]]) ...... Structured Programming (1) Flowcharts
* Day05 ([[Media:Day05.A.20171007.pdf |A.pdf]], [[Media:Day05.B.20170915.pdf |B.pdf]], [[Media:Day05.C.20171209.pdf |C.pdf]]) ...... Structured Programming (2) Conditions and Loops
* Day06 ([[Media:Day06.A.20171007.pdf |A.pdf]], [[Media:Day06.B.20170923.pdf |B.pdf]], [[Media:Day06.C.20171209.pdf |C.pdf]]) ...... Program Control
* Day07 ([[Media:Day07.A.20171007.pdf |A.pdf]], [[Media:Day07.B.20170926.pdf |B.pdf]], [[Media:Day07.C.20171209.pdf |C.pdf]]) ...... Function (1) Definitions
* Day08 ([[Media:Day08.A.20171028.pdf |A.pdf]], [[Media:Day08.B.20171016.pdf |B.pdf]], [[Media:Day08.C.20171209.pdf |C.pdf]]) ...... Function (2) Storage Class and Scope
* Day09 ([[Media:Day09.A.20171007.pdf |A.pdf]], [[Media:Day09.B.20171017.pdf |B.pdf]], [[Media:Day09.C.20171209.pdf |C.pdf]]) ...... Function (3) Recursion
* Day10 ([[Media:Day10.A.20171209.pdf |A.pdf]], [[Media:Day10.B.20171017.pdf |B.pdf]], [[Media:Day10.C.20171209.pdf |C.pdf]]) ...... Arrays (1) Definitions
* Day11 ([[Media:Day11.A.20171024.pdf |A.pdf]], [[Media:Day11.B.20171017.pdf |B.pdf]], [[Media:Day11.C.20171212.pdf |C.pdf]]) ...... Arrays (2) Applications
* Day12 ([[Media:Day12.A.20171024.pdf |A.pdf]], [[Media:Day12.B.20171020.pdf |B.pdf]], [[Media:Day12.C.20171209.pdf |C.pdf]]) ...... Pointers (1) Definitions
* Day13 ([[Media:Day13.A.20171025.pdf |A.pdf]], [[Media:Day13.B.20171024.pdf |B.pdf]], [[Media:Day13.C.20171209.pdf |C.pdf]]) ...... Pointers (2) Applications
* Day14 ([[Media:Day14.A.20171226.pdf |A.pdf]], [[Media:Day14.B.20171101.pdf |B.pdf]], [[Media:Day14.C.20171209.pdf |C.pdf]]) ...... C String (1) 
* Day15 ([[Media:Day15.A.20171209.pdf |A.pdf]], [[Media:Day15.B.20171124.pdf |B.pdf]], [[Media:Day15.C.20171209.pdf |C.pdf]]) ...... C String (2)
* Day16 ([[Media:Day16.A.20171208.pdf |A.pdf]], [[Media:Day16.B.20171114.pdf |B.pdf]], [[Media:Day16.C.20171209.pdf |C.pdf]]) ...... C Formatted IO
* Day17 ([[Media:Day17.A.20171031.pdf |A.pdf]], [[Media:Day17.B.20171111.pdf |B.pdf]], [[Media:Day17.C.20171209.pdf |C.pdf]]) ...... Structure (1) Definitions
* Day18 ([[Media:Day18.A.20171206.pdf |A.pdf]], [[Media:Day18.B.20171128.pdf |B.pdf]], [[Media:Day18.C.20171212.pdf |C.pdf]]) ...... Structure (2) Applications
* Day19 ([[Media:Day19.A.20171205.pdf |A.pdf]], [[Media:Day19.B.20171121.pdf |B.pdf]], [[Media:Day19.C.20171209.pdf |C.pdf]]) ...... Union, Bitwise Operators, Enum
* Day20 ([[Media:Day20.A.20171205.pdf |A.pdf]], [[Media:Day20.B.20171201.pdf |B.pdf]], [[Media:Day20.C.20171212.pdf |C.pdf]]) ...... Linked List 
* Day21 ([[Media:Day21.A.20171206.pdf |A.pdf]], [[Media:Day21.B.20171208.pdf |B.pdf]], [[Media:Day21.C.20171212.pdf |C.pdf]]) ...... File Processing
* Day22 ([[Media:Day22.A.20171212.pdf |A.pdf]], [[Media:Day22.B.20171213.pdf |B.pdf]], [[Media:Day22.C.20171212.pdf |C.pdf]]) ...... Preprocessing


&lt;!----------------------------------------------------------------------&gt;
&lt;/br&gt;
See also https://cprogramex.wordpress.com/

== '''Old Materials '''==

until 201201
* Intro.Overview.1.A ([[Media:C.Intro.Overview.1.A.20120107.pdf |pdf]])
* Intro.Memory.1.A ([[Media:C.Intro.Memory.1.A.20120107.pdf |pdf]])
* Intro.Number.1.A ([[Media:C.Intro.Number.1.A.20120107.pdf |pdf]])
* Repeat.Control.1.A ([[Media:C.Repeat.Control.1.A.20120109.pdf |pdf]])
* Repeat.Loop.1.A ([[Media:C.Repeat.Loop.1.A.20120113.pdf |pdf]])
* Work.Function.1.A ([[Media:C.Work.Function.1.A.20120117.pdf |pdf]])
* Work.Scope.1.A ([[Media:C.Work.Scope.1.A.20120117.pdf |pdf]])
* Series.Array.1.A ([[Media:Series.Array.1.A.20110718.pdf |pdf]])
* Series.Pointer.1.A ([[Media:Series.Pointer.1.A.20110719.pdf |pdf]])
* Series.Structure.1.A ([[Media:Series.Structure.1.A.20110805.pdf |pdf]])
* Data.Type.1.A ([[Media:C05.Data2.TypeCast.1.A.20130813.pdf |pdf]])
* Data.TypeCast.1.A ([[Media:Data.TypeCast.1.A.pdf |pdf]])
* Data.Operators.1.A ([[Media:Data.Operators.1.A.20110712.pdf |pdf]])
 
&lt;br&gt;

until 201107
* Intro.1.A ([[Media:Intro.1.A.pdf |pdf]])
* Control.1.A ([[Media:Control.1.A.20110706.pdf |pdf]])
* Iteration.1.A ([[Media:Iteration.1.A.pdf |pdf]])
* Function.1.A ([[Media:Function.1.A.20110705.pdf |pdf]])
* Variable.1.A ([[Media:Variable.1.A.20110708.pdf |pdf]])
* Operators.1.A ([[Media:Operators.1.A.20110712.pdf |pdf]])
* Pointer.1.A ([[Media:Pointer.1.A.pdf |pdf]])
* Pointer.2.A ([[Media:Pointer.2.A.pdf |pdf]])
* Array.1.A ([[Media:Array.1.A.pdf |pdf]])
* Type.1.A ([[Media:Type.1.A.pdf |pdf]])
* Structure.1.A ([[Media:Structure.1.A.pdf |pdf]])


go to [ [[C programming in plain view]] ]

[[Category:C programming language]]

&lt;/br&gt;</text>
      <sha1>mmdnvdnbbnnfksac0t3iq2gie7o26cn</sha1>
    </revision>
    <revision>
      <id>2803938</id>
      <parentid>2803936</parentid>
      <timestamp>2026-04-09T14:22:14Z</timestamp>
      <contributor>
        <username>Young1lim</username>
        <id>21186</id>
      </contributor>
      <comment>/* Applications */</comment>
      <origin>2803938</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="9878" sha1="p03ue6j96t9lag4aqq2dedvfnuld160" xml:space="preserve">=== Introduction ===
* Overview ([[Media:C01.Intro1.Overview.1.A.20170925.pdf |A.pdf]], [[Media:C01.Intro1.Overview.1.B.20170901.pdf |B.pdf]], [[Media:C01.Intro1.Overview.1.C.20170904.pdf |C.pdf]])
* Number System ([[Media:C01.Intro2.Number.1.A.20171023.pdf |A.pdf]], [[Media:C01.Intro2.Number.1.B.20170909.pdf |B.pdf]], [[Media:C01.Intro2.Number.1.C.20170914.pdf |C.pdf]])
* Memory System ([[Media:C01.Intro2.Memory.1.A.20170907.pdf |A.pdf]], [[Media:C01.Intro3.Memory.1.B.20170909.pdf |B.pdf]], [[Media:C01.Intro3.Memory.1.C.20170914.pdf |C.pdf]])

=== Handling Repetition ===
* Control ([[Media:C02.Repeat1.Control.1.A.20170925.pdf |A.pdf]], [[Media:C02.Repeat1.Control.1.B.20170918.pdf |B.pdf]], [[Media:C02.Repeat1.Control.1.C.20170926.pdf |C.pdf]])
* Loop ([[Media:C02.Repeat2.Loop.1.A.20170925.pdf |A.pdf]], [[Media:C02.Repeat2.Loop.1.B.20170918.pdf |B.pdf]])

=== Handling a Big Work ===
* Function Overview ([[Media:C03.Func1.Overview.1.A.20171030.pdf |A.pdf]], [[Media:C03.Func1.Oerview.1.B.20161022.pdf |B.pdf]])
* Functions &amp; Variables ([[Media:C03.Func2.Variable.1.A.20161222.pdf |A.pdf]], [[Media:C03.Func2.Variable.1.B.20161222.pdf |B.pdf]])
* Functions &amp; Pointers ([[Media:C03.Func3.Pointer.1.A.20161122.pdf |A.pdf]], [[Media:C03.Func3.Pointer.1.B.20161122.pdf |B.pdf]])
* Functions &amp; Recursions ([[Media:C03.Func4.Recursion.1.A.20161214.pdf |A.pdf]], [[Media:C03.Func4.Recursion.1.B.20161214.pdf |B.pdf]])

=== Handling Series of Data ===

==== Background ==== 
* Background ([[Media:C04.Series0.Background.1.A.20180727.pdf |A.pdf]])
 
==== Basics ====
* Pointers ([[Media:C04.S1.Pointer.1A.20240524.pdf |A.pdf]], [[Media:C04.Series2.Pointer.1.B.20161115.pdf |B.pdf]])
* Arrays ([[Media:C04.S2.Array.1A.20240514.pdf |A.pdf]], [[Media:C04.Series1.Array.1.B.20161115.pdf |B.pdf]])
* Array Pointers ([[Media:C04.S3.ArrayPointer.1A.20240208.pdf |A.pdf]], [[Media:C04.Series3.ArrayPointer.1.B.20181203.pdf |B.pdf]])
* Multi-dimensional Arrays ([[Media:C04.Series4.MultiDim.1.A.20221130.pdf |A.pdf]], [[Media:C04.Series4.MultiDim.1.B.1111.pdf |B.pdf]])
* Array Access Methods ([[Media:C04.Series4.ArrayAccess.1.A.20190511.pdf |A.pdf]], [[Media:C04.Series3.ArrayPointer.1.B.20181203.pdf |B.pdf]])
* Structures ([[Media:C04.Series3.Structure.1.A.20171204.pdf |A.pdf]], [[Media:C04.Series2.Structure.1.B.20161130.pdf |B.pdf]])

==== Examples ==== 
* Spreadsheet Example Programs
:: Example 1 ([[Media:C04.Series7.Example.1.A.20171213.pdf |A.pdf]], [[Media:C04.Series7.Example.1.C.20171213.pdf |C.pdf]])
:: Example 2 ([[Media:C04.Series7.Example.2.A.20171213.pdf |A.pdf]], [[Media:C04.Series7.Example.2.C.20171213.pdf |C.pdf]])
:: Example 3 ([[Media:C04.Series7.Example.3.A.20171213.pdf |A.pdf]], [[Media:C04.Series7.Example.3.C.20171213.pdf |C.pdf]])
:: Bubble Sort ([[Media:C04.Series7.BubbleSort.1.A.20171211.pdf |A.pdf]])

==== Applications ==== 
* Address-of and de-reference operators ([[Media:C04.SA0.PtrOperator.1A.20260409.pdf |A.pdf]])
* Applications of Pointers ([[Media:C04.SA1.AppPointer.1A.20241121.pdf |A.pdf]])
* Applications of Arrays ([[Media:C04.SA2.AppArray.1A.20240715.pdf |A.pdf]])
* Applications of Array Pointers ([[Media:C04.SA3.AppArrayPointer.1A.20240210.pdf |A.pdf]])
* Applications of Multi-dimensional Arrays ([[Media:C04.Series4App.MultiDim.1.A.20210719.pdf |A.pdf]])
* Applications of Array Access Methods ([[Media:C04.Series9.AppArrAcess.1.A.20190511.pdf |A.pdf]])
* Applications of Structures ([[Media:C04.Series6.AppStruct.1.A.20190423.pdf |A.pdf]])

=== Handling Various Kinds of Data ===
* Types ([[Media:C05.Data1.Type.1.A.20180217.pdf |A.pdf]], [[Media:C05.Data1.Type.1.B.20161212.pdf |B.pdf]])
* Typecasts ([[Media:C05.Data2.TypeCast.1.A.20180217.pdf |A.pdf]], [[Media:C05.Data2.TypeCast.1.B.20161216.pdf |A.pdf]])
* Operators ([[Media:C05.Data3.Operators.1.A.20161219.pdf |A.pdf]], [[Media:C05.Data3.Operators.1.B.20161216.pdf |B.pdf]])
* Files ([[Media:C05.Data4.File.1.A.20161124.pdf |A.pdf]], [[Media:C05.Data4.File.1.B.20161212.pdf |B.pdf]])

=== Handling Low Level Operations ===
* Bitwise Operations ([[Media:BitOp.1.B.20161214.pdf |A.pdf]], [[Media:BitOp.1.B.20161203.pdf |B.pdf]])
* Bit Field ([[Media:BitField.1.A.20161214.pdf |A.pdf]], [[Media:BitField.1.B.20161202.pdf |B.pdf]])
* Union ([[Media:Union.1.A.20161221.pdf |A.pdf]], [[Media:Union.1.B.20161111.pdf |B.pdf]])
* Accessing IO Registers ([[Media:IO.1.A.20141215.pdf |A.pdf]], [[Media:IO.1.B.20161217.pdf |B.pdf]])

=== Declarations ===
* Type Specifiers and Qualifiers ([[Media:C07.Spec1.Type.1.A.20171004.pdf |pdf]])
* Storage Class Specifiers ([[Media:C07.Spec2.Storage.1.A.20171009.pdf |pdf]])
* Scope 


=== Class Notes ===

* TOC ([[Media:TOC.20171007.pdf |TOC.pdf]])
* Day01 ([[Media:Day01.A.20171007.pdf |A.pdf]], [[Media:Day01.B.20171209.pdf |B.pdf]], [[Media:Day01.C.20171211.pdf |C.pdf]]) ...... Introduction (1) Standard Library
* Day02 ([[Media:Day02.A.20171007.pdf |A.pdf]], [[Media:Day02.B.20171209.pdf |B.pdf]], [[Media:Day02.C.20171209.pdf |C.pdf]]) ...... Introduction (2) Basic Elements
* Day03 ([[Media:Day03.A.20171007.pdf |A.pdf]], [[Media:Day03.B.20170908.pdf |B.pdf]], [[Media:Day03.C.20171209.pdf |C.pdf]]) ...... Introduction (3) Numbers
* Day04 ([[Media:Day04.A.20171007.pdf |A.pdf]], [[Media:Day04.B.20170915.pdf |B.pdf]], [[Media:Day04.C.20171209.pdf |C.pdf]]) ...... Structured Programming (1) Flowcharts
* Day05 ([[Media:Day05.A.20171007.pdf |A.pdf]], [[Media:Day05.B.20170915.pdf |B.pdf]], [[Media:Day05.C.20171209.pdf |C.pdf]]) ...... Structured Programming (2) Conditions and Loops
* Day06 ([[Media:Day06.A.20171007.pdf |A.pdf]], [[Media:Day06.B.20170923.pdf |B.pdf]], [[Media:Day06.C.20171209.pdf |C.pdf]]) ...... Program Control
* Day07 ([[Media:Day07.A.20171007.pdf |A.pdf]], [[Media:Day07.B.20170926.pdf |B.pdf]], [[Media:Day07.C.20171209.pdf |C.pdf]]) ...... Function (1) Definitions
* Day08 ([[Media:Day08.A.20171028.pdf |A.pdf]], [[Media:Day08.B.20171016.pdf |B.pdf]], [[Media:Day08.C.20171209.pdf |C.pdf]]) ...... Function (2) Storage Class and Scope
* Day09 ([[Media:Day09.A.20171007.pdf |A.pdf]], [[Media:Day09.B.20171017.pdf |B.pdf]], [[Media:Day09.C.20171209.pdf |C.pdf]]) ...... Function (3) Recursion
* Day10 ([[Media:Day10.A.20171209.pdf |A.pdf]], [[Media:Day10.B.20171017.pdf |B.pdf]], [[Media:Day10.C.20171209.pdf |C.pdf]]) ...... Arrays (1) Definitions
* Day11 ([[Media:Day11.A.20171024.pdf |A.pdf]], [[Media:Day11.B.20171017.pdf |B.pdf]], [[Media:Day11.C.20171212.pdf |C.pdf]]) ...... Arrays (2) Applications
* Day12 ([[Media:Day12.A.20171024.pdf |A.pdf]], [[Media:Day12.B.20171020.pdf |B.pdf]], [[Media:Day12.C.20171209.pdf |C.pdf]]) ...... Pointers (1) Definitions
* Day13 ([[Media:Day13.A.20171025.pdf |A.pdf]], [[Media:Day13.B.20171024.pdf |B.pdf]], [[Media:Day13.C.20171209.pdf |C.pdf]]) ...... Pointers (2) Applications
* Day14 ([[Media:Day14.A.20171226.pdf |A.pdf]], [[Media:Day14.B.20171101.pdf |B.pdf]], [[Media:Day14.C.20171209.pdf |C.pdf]]) ...... C String (1) 
* Day15 ([[Media:Day15.A.20171209.pdf |A.pdf]], [[Media:Day15.B.20171124.pdf |B.pdf]], [[Media:Day15.C.20171209.pdf |C.pdf]]) ...... C String (2)
* Day16 ([[Media:Day16.A.20171208.pdf |A.pdf]], [[Media:Day16.B.20171114.pdf |B.pdf]], [[Media:Day16.C.20171209.pdf |C.pdf]]) ...... C Formatted IO
* Day17 ([[Media:Day17.A.20171031.pdf |A.pdf]], [[Media:Day17.B.20171111.pdf |B.pdf]], [[Media:Day17.C.20171209.pdf |C.pdf]]) ...... Structure (1) Definitions
* Day18 ([[Media:Day18.A.20171206.pdf |A.pdf]], [[Media:Day18.B.20171128.pdf |B.pdf]], [[Media:Day18.C.20171212.pdf |C.pdf]]) ...... Structure (2) Applications
* Day19 ([[Media:Day19.A.20171205.pdf |A.pdf]], [[Media:Day19.B.20171121.pdf |B.pdf]], [[Media:Day19.C.20171209.pdf |C.pdf]]) ...... Union, Bitwise Operators, Enum
* Day20 ([[Media:Day20.A.20171205.pdf |A.pdf]], [[Media:Day20.B.20171201.pdf |B.pdf]], [[Media:Day20.C.20171212.pdf |C.pdf]]) ...... Linked List 
* Day21 ([[Media:Day21.A.20171206.pdf |A.pdf]], [[Media:Day21.B.20171208.pdf |B.pdf]], [[Media:Day21.C.20171212.pdf |C.pdf]]) ...... File Processing
* Day22 ([[Media:Day22.A.20171212.pdf |A.pdf]], [[Media:Day22.B.20171213.pdf |B.pdf]], [[Media:Day22.C.20171212.pdf |C.pdf]]) ...... Preprocessing


&lt;!----------------------------------------------------------------------&gt;
&lt;/br&gt;
See also https://cprogramex.wordpress.com/

== '''Old Materials '''==

until 201201
* Intro.Overview.1.A ([[Media:C.Intro.Overview.1.A.20120107.pdf |pdf]])
* Intro.Memory.1.A ([[Media:C.Intro.Memory.1.A.20120107.pdf |pdf]])
* Intro.Number.1.A ([[Media:C.Intro.Number.1.A.20120107.pdf |pdf]])
* Repeat.Control.1.A ([[Media:C.Repeat.Control.1.A.20120109.pdf |pdf]])
* Repeat.Loop.1.A ([[Media:C.Repeat.Loop.1.A.20120113.pdf |pdf]])
* Work.Function.1.A ([[Media:C.Work.Function.1.A.20120117.pdf |pdf]])
* Work.Scope.1.A ([[Media:C.Work.Scope.1.A.20120117.pdf |pdf]])
* Series.Array.1.A ([[Media:Series.Array.1.A.20110718.pdf |pdf]])
* Series.Pointer.1.A ([[Media:Series.Pointer.1.A.20110719.pdf |pdf]])
* Series.Structure.1.A ([[Media:Series.Structure.1.A.20110805.pdf |pdf]])
* Data.Type.1.A ([[Media:C05.Data2.TypeCast.1.A.20130813.pdf |pdf]])
* Data.TypeCast.1.A ([[Media:Data.TypeCast.1.A.pdf |pdf]])
* Data.Operators.1.A ([[Media:Data.Operators.1.A.20110712.pdf |pdf]])
 
&lt;br&gt;

until 201107
* Intro.1.A ([[Media:Intro.1.A.pdf |pdf]])
* Control.1.A ([[Media:Control.1.A.20110706.pdf |pdf]])
* Iteration.1.A ([[Media:Iteration.1.A.pdf |pdf]])
* Function.1.A ([[Media:Function.1.A.20110705.pdf |pdf]])
* Variable.1.A ([[Media:Variable.1.A.20110708.pdf |pdf]])
* Operators.1.A ([[Media:Operators.1.A.20110712.pdf |pdf]])
* Pointer.1.A ([[Media:Pointer.1.A.pdf |pdf]])
* Pointer.2.A ([[Media:Pointer.2.A.pdf |pdf]])
* Array.1.A ([[Media:Array.1.A.pdf |pdf]])
* Type.1.A ([[Media:Type.1.A.pdf |pdf]])
* Structure.1.A ([[Media:Structure.1.A.pdf |pdf]])


go to [ [[C programming in plain view]] ]

[[Category:C programming language]]

&lt;/br&gt;</text>
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      <text bytes="29485" sha1="810vbut22nitvp7wc8kk7ygy4rm11m1" xml:space="preserve">{{title|Disappointment:&lt;br&gt;What is disappointment, what causes it, and how can it be managed?}}
{{MECR3|1=https://youtu.be/BVUPkwnCYao}}
__TOC__

==Overview==
[[File:Wayuu woman with sad face in the market buying.jpg|alt=Older woman with a disappointed look on her face in a busy market place.|thumb|''Figure 1.'' Person expressing disappointment through facial features.]]

Have you ever received a lower grade than you expected? Have you ever been let down by someone? If so, you may have experienced disappointment. Disappointment is one of the most common and frequently experienced negative [[wikipedia:Emotion|emotions]] (Van Dijk &amp; Zeelenberg, 2002). Emotions are complex, coordinated, [[wiktionary:multidimensional|multidimensional]] responses that help us in our everyday lives (Izard, 2010); they motivate us to cope, communicate, and [[wiktionary:adapt|adapt]] to the world around us (Izard, 2010). Although there is no official definition for the word 'emotion' (see Mulligan &amp; Scherer, 2012), it is agreed that emotions also involve feelings, bodily arousal, purpose, and expression (see Figure 1) (Izard, 2010). This chapter describes disappointment, explores the causes of disappointment, and discusses what can be done to manage disappointment.      

{{RoundBoxTop|theme=13}}
[[File:Crystal Clear app ktip.svg|right|90px|]] '''Key questions:'''
* What is disappointment?
* What causes disappointment? 
* How can disappointment be managed?
{{RoundBoxBottom}}

==What is disappointment?==
	
[[File:Disappointment facial expression.jpg|right|200px|thumb|'''Figure 1'''. AI-generated depiction of a facial expression consistent with disappointment, characterised by downcast gaze, lowered lip corners, and subtle brow contraction.]]

Disappointment (see Figure 1) is an emotion that occurs when someone compares an actual outcome to the perceived better outcome that did not occur, or when one's expectations are not met (Zeelenberg et al., 1998a, b). In the context of disappointment, outcomes could be anything, for example, a friend forgetting to do the task you asked them to do, receiving a lower mark on an assignment than you expected, or listening to the new album of your favourite artist and discovering that you don't like any of the songs. Disappointment is all about expectations, and reflecting on what ''could'' have happened (Zeleenberg et al., 1998a, b).  

Disappointment is a decision-making emotion and has historically been researched using forced choice tasks, where participants are forced to choose between two options, or asking participants to recall moments when they have experienced disappointment (Zeleenberg et al., 1998a; see [[The Regret and Disappointment Scale|the regret and disappointment scale]] for a way to measure disappointment). Researchers generally use choice tasks when researching how disappointment works and various aspects of disappointment, and recall tasks are generally used to define or gain insight on everyday disappointment. One downside to researching disappointment in this way is that disappointment has been shown to increase in forced choice tasks (Matarazzo et al., 2021). However, Matarazzo et al. (2021) found that the thinking, action tendencies, and feelings of disappointment in forced choice tasks are possibly due to the nature of forced choice tasks.    

Like [[wikipedia:Envy|envy]] or [[wikipedia:Empathy|empathy]], disappointment is a cognitively complex emotion (Ramachandran &amp; Jalal, 2017). Disappointment typically involves feeling powerless, a tendency to remove oneself from the situation, and a desire to do nothing (van Dijk et al., 1999). In some cases, disappointment can look like [[wikipedia:Depression_(mood)|depression]], [[wikipedia:Sadness|sadness]], [[wikipedia:Embarrassment|embarrassment]], or [[wikipedia:Extraversion_and_introversion|introversion]]; as the disappointed individual may withdraw from social situations, feel as if they have experienced a loss, try to avoid similar situations, or not want to participate in general. Disappointment can be paralysing, especially experiencing a string of disappointing events back-to-back, however, people are less likely to hold on to their disappointment and are more likely to move on from the experience in a relatively short amount of time (Zeleenberg et al., 1998a, b). See Table 1 for examples of emotions similar to disappointment.

Table 1

''Emotions Similar to Disappointment''

{| border=1 cellpadding=5 cellspacing=&quot;0&quot; background:transparent style=&quot;width:100%;&quot;
|-
| style=&quot;width:10%;&quot; | '''Emotion'''
| style=&quot;width:90%;&quot; | '''Definition''' 
|-
|[[w:Regret|Regret]]
|A cognitively complex negative emotion that occurs when you know that the outcome that occurred could have been better if you made a different choice (Zeelenberg et al., 1998a). &quot;Regret stems from bad decisions&quot; (Zeelenberg et al., 1998a, p.222). 
|-
|[[w:Anger|Anger]]
|A simple negative emotion that occurs when you cannot achieve your goals and you blame someone or something else for it (Lelieveld et al., 2011). Anger can be the result of disappointment (van Dijk et al.,1999).
|-
|[[wiktionary:disillusionment|Disillusionment]]
|A complex negative emotion that occurs when you realise that what you believe or know is false (Maher et al., 2020). Disappointment is a key feature of disillusionment.
|}

{{Robelbox|theme={{{theme|2}}}|title=Spotlight: The history of disappointment}}

The history of disappointment research begins with regret. Many researchers, including David Bell, [[wikipedia:Graham_Loomes|Graham Loomes]], and [[wikipedia:Robert_Sugden_(economist)|Robert Sugden]], were exploring decision making under uncertainty and the emotions that accompany these decisions. After simultaneously publishing their regret theories in 1982, Bell (1985), and Loomes and Sugden (1986) developed their theories of disappointment. A key assumption these theories make is that decision makers anticipate emotions and take them into account when making a decision (Zeleenberg et al., 1998b, 2000).

According to Bell (1985), disappointment &quot;is a psychological reaction to an outcome that does not match up with expectations&quot; (p. 1). Bell (1985) believed that perceived disappointment changes the desirability of the outcome and influences how people will act. According to Loomes and Sugden (1986), &quot;when considering any uncertain prospect, an individual forms some ''prior expectation'' ... if that consequence falls short of the prior expectation... the individual... experiences some degree of disappointment&quot; (p.271). Loomes and Sugden (1986) have acknowledged that they share the same basic intuition about disappointment as Bell (1985).  

{{Robelbox/close}}

=== Types of disappointment ===
There are two widely recognised types of disappointment. These are outcome-related disappointment [ORD] and person-related disappointment [PRD] (van Dijk &amp; Zeelenberg, 2002). ORD occurs when the expected pleasurable outcome does not occur (van Dijk &amp; Zeelenberg, 2002). This type of disappointment is often researched using forced choice tasks. People who experience ORD may feel [[wiktionary:hopeless|hopeless]] or empty, want a second chance, or try harder to change the outcome next time (van Dijk &amp; Zeelenberg, 2002). PRD occurs when you attribute the undesirable outcome to another person (van Dijk &amp; Zeelenberg, 2002). This type of disappointment is not often focused upon, however, it is probably the most commonly experienced type. People who experience PRD may feel abandoned or distanced from the other person, disapprove of them, and ignore or avoid them (van Dijk &amp; Zeelenberg, 2002). One important consideration is that van Dijk and Zeelenberg (2002) assume that PRD is cause by another person, however, one can be disappointed in themselves. While there has not been research into dimensions of PRD, it would be useful to refine the idea of PRD or research self-disappointment and determine if it should be included in PRD or if it should be considered self-related disappointment. 

=== Test yourself ===
&lt;quiz display=&quot;simple&quot;&gt;
{Mary's boss received a complaint from a customer about Mary. Mary was made aware of the complaint and then fired. Mary is likely to experience:
|type=&quot;()&quot;}
+ PRD
- ORD

{Alex is trying to get a snack from a vending machine. Alex put their money into the vending machine and typed in the code for lemonade. The vending machine did not give Alex lemonade, and took their money. Alex is likely to experience:
|type=&quot;()&quot;}
- PRD
+ ORD
&lt;/quiz&gt;

== What causes disappointment? ==
[[File:Insula structure.png|alt=Structure of the three sections of the insula|thumb|''Figure 2.'' Brain image highlighting the posterior, mid, and anterior insula.]]

Disappointment is caused by thoughts and [[wikipedia:Cognition|mental processes]] that originate in the [[wikipedia:Cerebral_cortex|cerebral cortex]]. Multiple brain regions have been shown to be active during disappointment or to contribute to the process of disappointment, namely the [[wikipedia:Insular_cortex|insula]] (see Figure 3), and various regions of the [[wikipedia:Prefrontal_cortex|prefrontal cortex]] (see Figure 4) (Chua et al., 2009; Kalat, 2019; Mohr et al., 2010). Due to the complexity of disappointment, some brain regions work together to produce disappointment.

=== Insula ===
The insula is the brain region responsible for knowing what actions are caused by the self and what actions are not, as well as learning and processing risk and uncertainty (Farrer &amp; Frith, 2002). The [[wikipedia:Anatomical_terms_of_location#Anterior_and_posterior|anterior]] insula monitors, evaluates, and consciously represents emotions and feelings that arise from bodily states monitored by the [[wikipedia:Anatomical_terms_of_location#Anterior_and_posterior\|posterior]] insula, including risk (Craig, 2009). When individuals experience disappointment their anterior insula becomes active (Chua et al., 2009; Mohr et al., 2010); it is also active in the presence of potential loss (Mohr et al., 2010). This could be because individuals can predict that they will feel disappointed if loss was to occur.

=== Prefrontal cortex ===
[[File:Prefrontal cortex (left) animation.gif|alt=Rotating skull containing left Prefrontal cortex. The prefrontal cortex is highlighted |thumb|''Figure 4.'' Brain image highlighting the prefrontal cortex (PFC).]]

The prefrontal cortex [PFC] is a large section of the brain that is involved various processes, including decision making, working memory, emotional reactions, and movement (Kalat, 2019). It has been shown that the anterior regions of the PFC are responsible for decision making, evaluating which course will provide the best outcome, and determining the probability of achieving a good outcome (Kalat, 2019). This is why [[wikipedia:Lateralization_of_brain_function|hemispherical differences]], the [[wikipedia:Ventromedial_prefrontal_cortex|ventromedial PFC]] (see Figure 5), [[wikipedia:Orbitofrontal_cortex|orbitofrontal cortex]] (see Figure 6), and [[wikipedia:Dorsomedial_prefrontal_cortex|dorsomedial PFC]] (see Figure 5) are considered to be contributing factors to the experience of disappointment (Chua et al., 2009; Davidson, 2004; Kalat, 2019).  

==== Hemispherical differences ====
The right PFC is sensitive to punishment and controls impulsive behaviour, and the left is associated with coping, resilience, and psychological wellbeing (Davidson, 2004). When an individual experiences damage to their right PFC, cues that would normally signal danger are no longer received and the individual acts impulsively (Davidson, 2004). Therefore, when an individual encounters a risky or potentially disappointing situation, the right PFC activates and sends a &quot;no-go&quot; message to avoid the situation and perceived disappointment.   

==== Ventromedial prefrontal cortex ====
[[File:Cortical midline structures.png|thumb|''Figure 5.'' Brain image highlighting various cortical regions, including the ventromedial prefrontal cortex (VMPFC),  and the dorsomedial prefrontal cortex (DMPFC).]]

The ventromedial PFC [VMPFC] learns what choices are beneficial and what choices are not, adjusting decision making accordingly (Kalat, 2019). The VMPFC also monitors confidence in one's decisions (Kalat, 2019). As the VMPFC is connected to the insula, it is able to attach emotions to choices and other stimuli that is being considered (Craig, 2009). For example, if you feel confident that you have made the right decision and will achieve a good outcome, you will feel more disappointed than you would have felt if you were less confident that you will achieve a good outcome.  

Damage to the VMPFC has been shown to cause impairments in the ability to make considered decisions. Individuals with VMPFC damage tend to make impulsive decisions based on probability, rather than making considered decisions based on reality (Kalat, 2019). This can lead to constant or [[wiktionary:chronic|chronic]] disappointment as the VMPFC cannot adjust decision making based on previous experience. Below is an example of how the VMPFC works.

{{Robelbox|theme=6|title= Case study|width=1000px}}&lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
You are playing [[w:Uno|Uno]]. You have 5 cards to play, and so do your four opponents. You only have number cards, and based off of the cards that have already been played, your opponents must have at least one draw 4 card. You strategically match the number that was last played so that you change the colour of the deck; this makes it more likely that a draw 4 card will be played after your turn, and not used on you. If the draw 4 card is used on you, you will feel more disappointed as your strategy did not work. If the draw 4 card is not used on you, you will feel good about your strategy and continue to use it in the future. 
&lt;/div&gt; 
{{Robelbox-close}}

==== Orbitofrontal cortex ====
[[File:MRI of orbitofrontal cortex.jpg|alt=Orbitofrontal cortex highlighted on brain MRI|thumb|''Figure 6.'' Approximate location of the orbitofrontal cortex (OFC) on an MRI.]]

The orbitofrontal cortex [OFC] responds to information from the VMPFC. It is the part of the brain that changes and updates expected outcomes of our actions based on current circumstances (Kalat, 2019). The OFC actively differentiates between 'disappointing' (not good) and 'not disappointing' (good) options or outcomes, and chooses the option that is most likely to lead to a 'not disappointing' outcome (O'Doherty, 2004). Damage or inactivity of the OFC is associated with impulsive and otherwise poor decision making, leading to disappointing outcomes (Kalat, 2019). Below is an example of how the OFC decides what to do.

{{Robelbox|theme=6|title= Case study|width=1000px}}&lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
You decide to go to 54 Benjamin for breakfast. When you arrive, you remember that the last time you went there you didn't like the drink you ordered. You also remember that when you were there your friend ordered a drink that you liked the look of, and your friend said it was quite good. This time you order what your friend had last time and you are not disappointed.
&lt;/div&gt; 
{{Robelbox-close}}

==== Dorsomedial prefrontal cortex ====
The dorsomedial PFC [DMPFC] plays a role in both cognition and emotion (Eickhoff et al., 2016). The DMPFC is responsible for anticipating rewards, monitoring performance, selecting actions, and signalling errors and [[wiktionary:adverse|adverse]] outcomes (Taren et al., 2011); and is activated when individuals experience disappointment (Chua et al., 2009). The DMPFC regulates responses to unpredictable negative [[w:Stimulus (psychology)|stimuli]] and regulates [[wiktionary:reappraisal|reappraisal]] and [[wikipedia:Distraction|distraction]] (Helion et al., 2019). Once an emotion is identified, the DMPFC shapes the intensity of the emotion based on the individual's goals (Helion, Krueger, &amp; Ochsner, 2019). The more invested or important the outcome is, and the more adverse the opposite outcome is, the more disappointment is experienced. Below is an example of how the DMPFC works. 
      
{{Robelbox|theme=6|title= Case study}}&lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
Your assignment is finally graded and you receive a lower grade than you expected. You feel disappointed in yourself for achieving a lower grade than usual. However, your disappointment starts to disappear when you think about how important the class is to you. You know that it is important to do well, but this particular class is a major, not a core class, so you know that as long as you pass the class you are doing well.   
&lt;/div&gt; 
{{Robelbox-close}}

=== Test yourself ===
&lt;quiz display=&quot;simple&quot;&gt;
{Which brain region monitors who causes what action?
|type=&quot;()&quot;}
+ Insula
- OFC

{Which brain region modifies emotion intensity?
|type=&quot;()&quot;}
- PFC
+ DMPFC

{Damage to which brain region causes people to confidently make poor decisions?
|type=&quot;()&quot;}
- OFC
+ VMPFC

&lt;/quiz&gt;

==How can disappointment be managed?==
After learning about the mental processes that contribute to disappointment, it may feel as if disappointment is inevitable. After all, if you were to take a minute to think of the last time you felt disappointed, you would probably be able to think of an event that occurred in the last month. Because disappointment is so unpleasant, researchers have found different ways to manage disappointment. The main three strategies to manage disappointment are lowering expectations, living up to expectations, and avoiding risk-taking (van Dijk et al., 2003; Zeleenberg et al., 1998a, 2000). But should disappointment be managed?

=== Lowering expectations ===
When an unfavourable outcome occurs, so does disappointment. One way to combat disappointment is to lower expectations (van Dijk et al., 2003). In general, people tend to lower their expectations when feedback or the outcome is anticipated in the near future. For example, as a patient gets closer to their surgery, their expectations of a positive outcome could reduce until the patient no longer wants surgery (van Dijk et al., 2003). de Meza and Dawson (2021) have found that people with mistaken expectations or unrealistic expectations (i.e., unrealistic optimism) experience lower levels of [[wikipedia:Well-being|well-being]]. In the long-run, realists (people who have a realistic world view) have significantly higher wellbeing than both [[wikipedia:Pessimism|pessimists]] and [[wikipedia:Optimism|optimists]] (de Meza &amp; Dawson, 2021). Overall, lowering expectations leads to a lower chance of experiencing disappointment, however, it is important to keep in mind that this can lower your overall wellbeing if you gain a pessimistic outlook (de Meza &amp; Dawson, 2021; van Dijk et al., 2003).

=== Living up to expectations ===
Disappointment, like many other emotions, can be anticipated. If disappointment is anticipated, people attempt to avoid it by living up to expectations (Zeleenberg et al., 2000). In this instance, disappointment is a motivator, either to decrease the likelihood of disappointment, or to increase the likelihood of a desired outcome (Zeleenberg et al., 2000). To live up to expectations, the amount of effort that an individual puts in must be able to increase the likelihood of a good outcome. Therefore, this method is only useful when an individual's effort is able to decrease the probability of disappointment and is only appropriate when effort or something controlled by the individual can lead to obtaining the desired outcome (van Dijk et al., 2003). For example, extra study and preparation can result in a better chance at passing a test which would decrease disappointment, but extra time studying a dice will not result in a better chance at predicting which number it will land on.    

=== Avoid risk-taking ===
A more proactive approach to managing disappointment is avoiding it. Choosing safe alternatives that lead to known outcomes do not risk disappointment (Zeleenberg et al., 1998a, b, 2000). This approach could be called [[wikipedia:Risk_aversion|risk aversion]] (Zeleenberg et al., 1998b, 2000). Below is an example of how risk-taking can be avoided, however, disappointment is not always avoidable. This begs the question, should disappointment be managed or avoided?
     
{{Robelbox|theme=6|title= Case study}}&lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
You are picking ice cream at a new restaurant and you have three options, vanilla, chocolate, and strawberry. You like all three options, however, you find that some chocolate ice creams are disgusting, and you only like specific strawberry ice creams. Vanilla is not your favourite flavour but you find it edible even if you do not completely like it. You pick the vanilla ice cream.  
&lt;/div&gt; 
{{Robelbox-close}}

===  Should disappointment be managed? ===
Disappointment helps us improve our circumstances, improve ourselves, and alerts us to our own expectations and from this we readjust our expectations or adapt to avoid similar disappointing experiences in the future. For example, if someone continually disappoints us we then decide to distance ourselves from that person, or if we are disappointed in the feedback we receive we then work to achieve an acceptable standard, and if we travel with a specific company and their service is disappointing the next time we travel we will most likely try a different company. If disappointment is interpreted as a message that needs to be heard and acted upon, then disappointment occurs less and is perceived as less detrimental (Grainger, 1991).

{{RoundBoxTop|theme=5}}
'''Questions to consider:'''

* What do you think about disappointment?
* Is disappointment good or bad? Why?
{{RoundBoxBottom}}

==Conclusion==
Disappointment is a cognitively complex emotion that occurs when your expectations are not met (Zeleenberg et al., 1998a). Whether you experience ORD or PRD, the insula, VMPFC, OFC, and DMPFC work together to choose the most beneficial choice, determine how likely the beneficial option is, and signal when adverse outcomes occur (Craig, 2009; Kalat, 2019; Taren et al., 2011). Sometimes disappointment is unexpected, however, when it is anticipated, techniques such as lowering expectations, living up to expectations, and avoiding risk-taking are effective in reducing disappointment (van Dijk et al., 2003; Zeleenberg et al., 1998a, 2000). Although disappointment is a negative emotion, it helps us to adapt, avoid negative outcomes, and improve ourselves (Grainger, 1991). Overall, successfully managing expectations is a difficult task, but when done well, reduces disappointment.   

== See also ==
* [[Motivation and emotion/Book/2011/Anger|Anger]] (Book chapter, 2011)
* [[wikipedia:Disappointment|Disappointment]] (Wikipedia)
* [[Motivation and emotion/Book/2016/Regret|Regret]] (Book chapter, 2016)
* [[Motivation and emotion/Book/2022/Resentment|Resentment]] (Book chapter, 2022)

==References==
{{Hanging indent|1=

Bell, D. E. (1985). Disappointment in decision making under uncertainty. ''Operations Research, 33''(1), 1–27. https://doi.org/10.1287/opre.33.1.1 

Chua, H. F., Gonzalez, R., Taylor, S. F., Welsh, R. C., &amp; Liberzon, I. (2009). Decision-related loss: Regret and disappointment. ''NeuroImage, 47''(4), 2031–2040. https://doi.org/10.1016/j.neuroimage.2009.06.006 

Craig, A. D. (2009). How do you feel - now? The anterior insula and human awareness. ''Nature Reviews: Neuroscience, 10''(1), 59–70. https://doi.org/10.1038/nrn2555

Davidson, R. J. (2004). What does the prefrontal cortex “do” in affect: Perspectives on frontal EEG asymmetry research. ''Biological Psychology, 67''(1), 219–234. https://doi.org/10.1016/j.biopsycho.2004.03.008 

de Meza, D., &amp; Dawson, C. (2021). Neither an optimist nor a pessimist be: Mistaken expectations lower well-being. ''Personality &amp; Social Psychology Bulletin'', ''47''(4), 540–550. https://doi.org/10.1177/0146167220934577

Eickhoff, S. B., Laird, A. R., Fox, P. T., Bzdok, D., &amp; Hensel, L. (2016). Functional segregation of the human dorsomedial prefrontal cortex. ''Cerebral Cortex, 26''(1), 304-321. https://doi.org/10.1093/cercor/bhu250

Farrer, C., &amp; Frith, C. D. (2002). Experiencing oneself vs another person as being the cause of an action: The neural correlates of the experience of agency. ''NeuroImage, 15''(3), 596–603. https://doi.org/10.1006/nimg.2001.1009 

Grainger, R. D. (1991). Dealing with feelings: The disguise of disappointment. ''The American Journal of Nursing, 91''(11), Article 10. https://www.jstor.org/stable/3426784 

Helion, C., Krueger, S. M., &amp; Ochsner, K. N. (2019). Emotion regulation across the lifespan. In D’Esposito, M., &amp; Grafman, J. H. (Eds.), ''Handbook of clinical neurology'' (pp.257-280). Elsevier. https://doi.org/10.1016/B978-0-12-804281-6.00014-8.

Izard, C. E. (2010). The many meanings/aspects of emotion: Definitions, functions, activation, and regulation. ''Emotion Review, 2''(4), 363–370. https://doi.org/10.1177/1754073910374661

Kalat, J. W. (2019). ''Biological psychology'' (13th ed.). Cengage

Lelieveld, G. J., Van Dijk, E., Van Beest, I., Steinel, W., &amp; Van Kleef, G. A. (2011). Disappointed in you, angry about your offer: Distinct negative emotions induce concessions via different mechanisms. ''Journal of Experimental Social Psychology, 47''(3), 635–641. https://doi.org/10.1016/j.jesp.2010.12.015 

Loomes, G., &amp; Sugden, R. (1986). Disappointment and dynamic consistency in choice under uncertainty. ''The Review of Economic Studies, 53''(2), 271–282. https://doi.org/10.2307/2297651 

Maher, P. J., Igou, E. R., &amp; van Tilburg, W. A. P. (2020). Disillusionment: A prototype analysis. ''Cognition and Emotion, 34''(5), 947–959. https://doi.org/10.1080/02699931.2019.1705764

Matarazzo, O., Abbamonte, L., Greco, C., Pizzini, B., &amp; Nigro, G. (2021). Regret and other emotions related to decision-making: Antecedents, appraisals, and phenomenological aspects. ''Frontiers in Psychology, 12'', Article 783248. https://doi.org/10.3389/fpsyg.2021.783248 

Mohr, P. N. C., Biele, G., &amp; Heekeren, H. R. (2010). Neural processing of risk. ''The Journal of Neuroscience, 30''(19), 6613–6619. https://doi.org/10.1523/JNEUROSCI.0003-10.2010

Mulligan, K., &amp; Scherer, K. R. (2012). Toward a working definition of emotion. ''Emotion Review, 4''(4), 345–357. https://doi.org/10.1177/1754073912445818 

O’Doherty, J. P. (2004). Reward representations and reward-related learning in the human brain: Insights from neuroimaging. ''Current Opinion in Neurobiology, 14''(6), 769–776. https://doi.org/10.1016/j.conb.2004.10.016 

Ramachandran, V.S., &amp; Jalal, B. (2017). The evolutionary psychology of envy and jealousy. ''Frontiers in Psychology, 8'', Article 1619. https://doi.org/10.3389/fpsyg.2017.01619 

Taren, A. A., Venkatraman, V., &amp; Huettel, S. A. (2011). A parallel functional topography between medial and lateral prefrontal cortex: Evidence and implications for cognitive control. ''The Journal of Neuroscience, 31''(13), 5026–5031. https://doi.org/10.1523/JNEUROSCI.5762-10.2011 

van Dijk, W. W., &amp; Zeelenberg, M. (2002). What do we talk about when we talk about disappointment? Distinguishing outcome-related disappointment from person-related disappointment. ''Cognition and Emotion, 16''(6), 787–807. https://doi.org/10.1080/02699930143000563

van Dijk, W. W., Zeelenberg, M., &amp; van der Pligt, J. (1999). Not having what you want versus having what you do not want: The impact of type of negative outcome on the experience of disappointment and related emotions. ''Cognition and Emotion, 13''(2), 129–148. https://doi.org/10.1080/026999399379302 

van Dijk, W. W., Zeelenberg, M., &amp; van der Pligt, J. (2003). Blessed are those who expect nothing: Lowering expectations as a way of avoiding disappointment. ''Journal of Economic Psychology, 24''(4), 505–516. https://doi.org/10.1016/S0167-4870(02)00211-8

Zeelenberg, M., van Dijk, W. W., Manstead, A. S. R., &amp; van der Pligt, J. (1998a). The experience of regret and disappointment. ''Cognition and Emotion, 12''(2), 221–230. https://doi.org/10.1080/026999398379727

Zeelenberg, M., van Dijk, W. W., Manstead, A. S. R., &amp; van der Pligt, J. (2000). On bad decisions and disconfirmed expectancies: The psychology of regret and disappointment. ''Cognition and Emotion, 14''(4), 521–541. https://doi.org/10.1080/026999300402781 

Zeelenberg, M., van Dijk, W. W., van der Pligt, J., Manstead, A. S. R., van Empelen, P., &amp; Reinderman, D. (1998b). Emotional reactions to the outcomes of decisions: The role of counterfactual thought in the experience of regret and disappointment. ''Organizational Behavior and Human Decision Processes, 75''(2), 117–141. https://doi.org/10.1006/obhd.1998.2784
}}

==External links==
* [https://www.youtube.com/watch?v=gAMbkJk6gnE Feeling all the feels: Crash course psychology #25] (YouTube)
* [https://mensline.org.au/how-to-deal-with-anger/how-to-deal-with-disappointment/ How to deal with disappointment] (MensLine.org)
* [https://www.youtube.com/watch?v=8KgUFMN7aJQ The value of disappointment] (TEDxPCC)
* [https://www.ted.com/talks/dan_gilbert_why_we_make_bad_decisions Why we make bad decisions] (TED.com)
* [https://www.youtube.com/watch?v=0gks6ceq4eQ You aren't at the mercy of your emotions -- your brain creates them | Lisa Feldman Barrett] (YouTube)  

[[Category:{{#titleparts:{{PAGENAME}}|3}}]]
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[[Category:Motivation and emotion/Book/Disappointment]]</text>
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    <title>User:Dc.samizdat/Real Euclidean four-dimensional space R⁴</title>
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      <text bytes="122127" sha1="jz30r7xq19lrv6nr2750yv2uxrkdgbn" xml:space="preserve">= Real Euclidean four-dimensional space R⁴ =
{{align|center|David Brooks Christie}}
{{align|center|dc@samizdat.org}}
{{align|center|Draft in progress}}
{{align|center|June 2023 - March 2026}}

&lt;blockquote&gt;'''Abstract:''' The physical universe is properly visualized as a Euclidean space of four orthogonal spatial dimensions. Space itself has a fourth orthogonal dimension, of which we are unaware in ordinary life. Atoms are 4-polytopes, small round 4-dimensional objects, and stars are 4-balls of atomic plasma, large round 4-dimensional objects. We ourselves and our planet are only 3-dimensional objects, but nonetheless we can see in four dimensions of space. We have been unaware that when we look up at night we see stars and galaxies, themselves large 4-dimensional objects, distributed all around us in 4-dimensional Euclidean space, and moving through it, like us, at the constant velocity &lt;math&gt;c&lt;/math&gt;. Light from them reaches us directly, on straight lines through 4-space. This view of the observed universe is compatible with special and general relativity, and with quantum mechanics. It furnishes those theories with an explanatory geometric model.&lt;/blockquote&gt;

== Summary ==
We observe that physical space has four perpendicular dimensions, not just three; atoms are [[W:4-polytope|4-polytopes]]; the sun is a 4-ball that is round in four dimensions; everything of intermediate size between an atom and a star, including us and our planet, lies in a 3-dimensional manifold of ordinary space; and our entire 3-space manifold is translating through Euclidean 4-space at the speed of light, in a direction perpendicular to its three interior dimensions.

== A theory of the Euclidean cosmos ==
The physical universe is properly visualized as a [[w:Four-dimensional_space|Euclidean space of four orthogonal spatial dimensions]]. Space itself has a fourth orthogonal dimension, of which we are unaware in ordinary life. Atoms are [[w:4-polytope|4-polytopes]], small round 4-dimensional objects, and stars are 4-balls of atomic plasma, large round 4-dimensional objects. Objects intermediate in size between atoms and stars, including molecules, people, and planets, are so flat as to be essentially 3-dimensional, having only the thickness of an atom in the orthogonal fourth dimension. 

All objects with mass move through Euclidean 4-space at velocity &lt;math&gt;c&lt;/math&gt; as long as they exist, and acceleration only varies their direction. Objects moving in the same direction are in the same inertial reference frame. Their direction of motion through 4-space at velocity &lt;math&gt;c&lt;/math&gt; is their proper time dimension, simply because their direction and velocity of motion through time is the same as their direction and velocity of motion through space.

A typical spiral galaxy such as ours is a 4-ball of mostly empty space, with stars and other objects distributed non-uniformly within it. The galaxy's orbital center may be nothing: a smaller 4-ball of empty space they surround. The stars in our galaxy appear from our viewpoint to be distributed in a cloud of elliptical spirals  occupying a flattened ellipsoid region of 3-dimensional space, but they are not so confined: they are distributed within a spherical region of 4-dimensional space. The galaxy's actual shape is spherical, not a flattened ellipsoid, but it is rounder than round can be in our ordinary experience: it occupies a hyperspherical region of space. The concentric spirals of stars that we observe lie in concentric [[W:3-sphere|3-sphere]]s (4-dimensional spheres), not in concentric 2-ellipsoids (3-dimensional elliptical spirals). Our sun and solar system lies in one of those concentric 3-spheres.

...rotating illustration of the 4-ball galaxy showimg its spirals of star clouds on the surface of concentric 3-spheres...obtained by reverse sterographic projection from 3D images of the galaxy...

The galaxy as a whole, or more properly its orbital center point, is translating through 4-space at velocity &lt;math&gt;c&lt;/math&gt;, in a distinct direction orthogonal to all three dimensions of our ordinary proper 3-space. Stars within the galaxy are translating with it at the same velocity &lt;math&gt;c&lt;/math&gt; in the same direction, but on spiral trajectories relative to the galaxy's linear trajectory, as they pursue their various orbits within the galaxy. The spherical galaxy as a whole occupies a 4-ball within its proper inertial reference frame (that is, in the moving frame of reference in which the galaxy considers itself to be a stationary rotating 4-ball). Over time, the galaxy occupies a 4-dimensional cylinder and progresses along the cylinder's axis at velocity &lt;math&gt;c&lt;/math&gt;. In this more universal inertial reference frame, the stars in the galaxy follow helical geodesic paths through the cylinder; their trajectories are screw-displacements. 

The gravitational force and the inertial tendency to follow a geodesic are the same phenomenon, by the equivalence principle. That said, they can be distinguished, and the galaxy is held together primarily by gravity as inertia, not by gravity as attraction to a central mass toward which objects fall in orbit. There is not enough mass in the galaxy to hold it together by attraction, there is just enough to bend the stars' trajectories toward each other, in helical orbits around a barycentric axis. It is the tremendous inertial force of stars in motion at velocity &lt;math&gt;c&lt;/math&gt; that holds the cylinder of motion together. 

The observed universe as a whole appears to be a 3-sphere expanding radially from a central origin point at velocity &lt;math&gt;c&lt;/math&gt;, the invariant velocity of mass-carrying objects through 4-space, also the propagation speed of light relative to any moving 3-space manifold, as measured by all observers. For all observers, the conjectured origin point of the universe corresponds not only to a now-distant point in their proper time past, it also corresponds to a distinct now-distant point in 4-dimensional space (the same point in the same Euclidean 4-space for all observers). The big bang had a distinct origin point in real space as well as in real time. More generally, time and Euclidean 4-space can be measured separately, just as time and Euclidean 3-space were measured classically, without the necessity to combine them as spacetime. 

The same inertial force which holds the galactic cylinder of motion together also confines us physically to an exceedingly thin three-dimensional surface manifold moving through 4-space at velocity &lt;math&gt;c&lt;/math&gt;. All objects in our solar system except the sun itself lie within this thinest three-dimensional manifold. That is why we are 3-dimensional objects ourselves, and why we cannot construct more than three perpendiculars through a single point in our local 3-dimensional space.   

The enclosing surface of a spherical region of 4-space is itself a finite, curved (non-Euclidean) 3-dimensional space called a [[w:3-sphere|3-sphere]]. We live within such a 3-space, in an infinitesimally curved 3-manifold surface embedded in Euclidean 4-space. That surface is the ordinary 3-dimensional space we experience, and it contains the earth, all the planets and the 3-dimensional space between them. Our solar system is only a small patch on the surface of a dimensionally rounder space, although that surface is not infinite. It is curved, and finite, analogous to the way the 2-dimensional surface of the earth -- once thought to be flat -- is curved and finite. Our particular 3-sphere is one of the galaxy's concentric 3-spheres of spiral star-clouds. The solar system occupies a tiny patch of this filmy 4-dimensional soap-bubble of galactic size, that is thicker-skinned than the diameter of an atom only in the interior of stars and supermassive objects.  

Our entire 3-sphere manifold, as a spherical shell within the moving galaxy, is translating through 4-space at velocity &lt;math&gt;c&lt;/math&gt; with the galaxy in a distinct direction that is orthogonal to the manifold's three orthogonal dimensions of interior space. At every material point in the manifold (at every atom), the galaxy's translation is following a geometric law of motion discovered by Coxeter that governs the propagation of rotating objects through space by screw translation. The solar system's atoms of mass are 4-polytopes that are simultaneously rotating and translating, and as they advance together they define a moving 3-dimensional manifold by their own inertia, also called gravity, the property of matter's ceaseless propagation through 4-space at the constant velocity &lt;math&gt;c&lt;/math&gt;, the universal rate of causality at which quantum events occur, all objects move, and the universe evolves. 

Any moving 3-dimensional manifold that is such an evolving surface boundary is empty in most places, occupied by single atoms in comparatively fewer places, and occupied by bound complexes of multiple atoms (molecules) in still fewer places. In all these places it is no thicker than one atom in the dimension corresponding to its direction of translation, because molecules are 3-dimensional complexes of atoms that add no thickness to the manifold. Every object which we find occurring naturally in the solar system other than the sun itself, even the largest of 3-dimensional objects a planet, is a three-dimensional smear of atoms no thicker than one atom in its fourth dimension, which is the direction of movement through 4-space at velocity &lt;math&gt;c&lt;/math&gt; of the solar system's 3-manifold container, which is one of the galaxy's concentric 3-sphere shells.

The moving surface manifold cannot be thicker than one atom at any point unless and until there is enough mass near that point for the force of gravity as attraction to overcome the force of gravity as inertia, allowing atoms to be &quot;heaped up&quot; into larger 4-dimensional objects that form a lump in its moving surface. We have little understanding of such 4-dimensional lumps thicker than one atom, since they occur naturally in our vicinity only in the interior of the sun. In fact the sun is the only such lump occurring naturally in our solar system. We refer to 4-dimensional lumps of matter as plasma, and have little experimental knowledge of their geometry or structure. We know that such a lump as the sun burns at its surface 3-sphere and emits radiation, and we know a good deal about those surface processes which are nuclear atomic processes, but we know nothing about its interior 4-ball.

Every such 3-dimensional surface boundary of matter in the observed universe is moving and evolving in four dimensions at velocity &lt;math&gt;c&lt;/math&gt;. Its current location in 4-space corresponds to the present moment in the proper time of its inertial reference frame. Its direction of movement at velocity &lt;math&gt;c&lt;/math&gt; corresponds to its proper time dimension, which is a spiral over time, not a Euclidean (straight-line) dimension, since its direction is changing in its orbit. Objects with mass of all sizes, from atoms to the largest objects observed in the cosmos, are perpetually in inertial rotational motion in some orbit, and simultaneously in inertial translational motion propagating themselves through 4-space, two orthogonal motions each at the constant universal rate of transformation &lt;math&gt;c&lt;/math&gt;. Every object moves on its own distinct geodesic spiral.  

Objects without mass such as photons lie off such surface boundaries of matter from which they were emitted, and their motion is of a different nature. They are in motion at velocity &lt;math&gt;c&lt;/math&gt; in all four dimensions concurrently, so they move diagonally through 4-space on straight lines at a compound velocity. The propagation speed of light measured on a straight line through Euclidean 4-space is &lt;math&gt;c^\prime = 2c&lt;/math&gt;, so we can see in 4 dimensions, even though we are physically confined to a moving 3-dimensional manifold. For example, we can look across the center of our mostly-empty 4-ball galaxy and see stars in the opposite sides of its concentric 3-sphere surfaces. We have been unaware that when we look up at night we see stars and galaxies, themselves large 4-dimensional objects, distributed all around us in 4-dimensional Euclidean space, and moving through it, like us, at the constant velocity &lt;math&gt;c&lt;/math&gt; in the 4-space direction corresponding to their proper time, which is perpendicular to all three dimensions of their proper space. Light from them reaches us directly, propagating on straight lines through 4-space at twice the velocity at which they, and we ourselves, are propagating through 4-space. 

This physical model of the observed universe is compatible with the theories of special and general relativity, and with the atomic theory of quantum mechanics. It explains those theories geometrically, as expressions of intrinsic symmetries in Euclidean space.

== Symmetries ==

It is common to speak of nature as a web, and so it is, the great web of our physical experiences. Every web must have its root systems somewhere, and nature in this sense must be rooted in the symmetries which underlie physics and geometry, the [[W:Group (mathematics)|mathematics of groups]].{{Sfn|Conway, Burgiel &amp; Goodman-Strauss|2008}}

As I understand [[W:Noether's theorem|Noether's theorem]] (which is not mathematically), hers is the deepest meta-theory of nature yet, deeper than [[W:Theory of relativity|Einstein's relativity]] or [[W:Evolution|Darwin's evolution]] or [[W:Euclidean geometry|Euclid's geometry]]. It finds that all fundamental findings in physics are based on conservation laws which can be laid at the doors of distinct [[W:symmetry group |symmetry group]]s. Thus all fundamental systems in physics, as examples [[W:quantum chromodynamics|quantum chromodynamics]] (QCD) the theory of the strong force binding the atomic nucleus and [[W:quantum electrodynamics|quantum electrodynamics]] (QED) the theory of the electromagnetic force, each have a corresponding symmetry [[W:group theory|group theory]] of which they are an expression. 

[[W:Coxeter group|Coxeter's theory of symmetry groups]] generated by reflections did for geometry what Noether's theorem and Einstein's relativity did for physics. [[W:Coxeter|Coxeter]] showed that Euclidean geometry is based on conservation laws that correspond to distinct symmetry groups, and their group actions express the principle of relativity. Here is Coxeter's formulation of the motions of objects (congruent transformations) possible in an ''n''-dimensional Euclidean space, excerpted:{{Sfn|Coxeter|1973|pp=217-218|loc=§12.2 Congruent transformations}}
&lt;blockquote&gt;Let &lt;small&gt;&lt;math&gt;\mathrm{Q}&lt;/math&gt;&lt;/small&gt; denote a rotation, &lt;small&gt;&lt;math&gt;\mathrm{R}&lt;/math&gt;&lt;/small&gt; a reflection, &lt;small&gt;&lt;math&gt;\mathrm{T}&lt;/math&gt;&lt;/small&gt; a translation, and let &lt;small&gt;&lt;math&gt;\mathrm{Q}^q \mathrm{R}^r\mathrm{T}&lt;/math&gt;&lt;/small&gt; denote a product of several such transformations, all commutative with one another. Then &lt;small&gt;&lt;math&gt;\mathrm{RT}&lt;/math&gt;&lt;/small&gt; is a glide-reflection (in two or three dimensions), &lt;small&gt;&lt;math&gt;\mathrm{QR}&lt;/math&gt;&lt;/small&gt; is a rotary-reflection, &lt;small&gt;&lt;math&gt;\mathrm{QT}&lt;/math&gt;&lt;/small&gt; is a screw-displacement, and &lt;small&gt;&lt;math&gt;\mathrm{Q^2}&lt;/math&gt;&lt;/small&gt; is a double rotation (in four dimensions).&lt;br&gt;
Every orthogonal transformation is expressible as:&lt;br&gt;
:&lt;small&gt;&lt;math&gt;\mathrm{Q}^q \mathrm{R}^r&lt;/math&gt;&lt;/small&gt;&lt;br&gt;
where &lt;small&gt;&lt;math&gt;(2^q + r \le n)&lt;/math&gt;&lt;/small&gt;, the number of dimensions.&lt;br&gt;
Transformations involving a translation are expressible as:&lt;br&gt;
:&lt;small&gt;&lt;math&gt;\mathrm{Q}^q \mathrm{R}^r \mathrm{T}&lt;/math&gt;&lt;/small&gt;&lt;br&gt;
where &lt;small&gt;&lt;math&gt;(2^q + r + 1 \le n)&lt;/math&gt;&lt;/small&gt;.&lt;br&gt;
For &lt;small&gt;&lt;math&gt;(n = 4)&lt;/math&gt;&lt;/small&gt; in particular, every displacement is either a double rotation &lt;small&gt;&lt;math&gt;\mathrm{Q}^2&lt;/math&gt;&lt;/small&gt;, or a screw-displacement &lt;small&gt;&lt;math&gt;\mathrm{QT}&lt;/math&gt;&lt;/small&gt; [where the rotation component &lt;small&gt;&lt;math&gt;\mathrm{Q}&lt;/math&gt;&lt;/small&gt; is a simple rotation, but the &lt;small&gt;&lt;math&gt;\mathrm{QT}&lt;/math&gt;&lt;/small&gt; is chiral like a &lt;small&gt;&lt;math&gt;\mathrm{Q^2}&lt;/math&gt;&lt;/small&gt;]. Every enantiomorphous transformation in 4-space (reversing chirality) is a &lt;small&gt;&lt;math&gt;\mathrm{QRT}&lt;/math&gt;&lt;/small&gt;.&lt;/blockquote&gt;
If we begin with this most elemental [[w:Kinematics|kinematics]] of Coxeter's, and also assume the [[W:Galilean relativity|Galilean principle of relativity]], every displacement in 4-space can be viewed as either a &lt;small&gt;&lt;math&gt;\mathrm{Q^2}&lt;/math&gt;&lt;/small&gt; or a &lt;small&gt;&lt;math&gt;\mathrm{QT}&lt;/math&gt;&lt;/small&gt;, because we can view any &lt;small&gt;&lt;math&gt;\mathrm{QT}&lt;/math&gt;&lt;/small&gt; as a &lt;small&gt;&lt;math&gt;\mathrm{Q^2}&lt;/math&gt;&lt;/small&gt; in a linearly moving (translating) reference frame. Therefore any transformation from one inertial reference frame to another is expressable as a &lt;small&gt;&lt;math&gt;\mathrm{Q^2}&lt;/math&gt;&lt;/small&gt;. By the same principle, we can view any &lt;small&gt;&lt;math&gt;\mathrm{QT}&lt;/math&gt;&lt;/small&gt; or &lt;small&gt;&lt;math&gt;\mathrm{Q^2}&lt;/math&gt;&lt;/small&gt; as an isoclinic (equi-angled) &lt;small&gt;&lt;math&gt;\mathrm{Q^2}&lt;/math&gt;&lt;/small&gt; by proper choice of reference frame.{{Efn|[[W:Arthur Cayley|Cayley]] showed that any rotation in 4-space can be decomposed into two isoclinic rotations, which intuitively we might see follows from the fact that any transformation from one inertial reference frame to another is expressable as a [[W:SO(4)|rotation in 4-dimensional Euclidean space]].|name=Cayley's rotation factorization into two isoclinic reference frame transformations}} Coxeter's relation is thus a mathematical statement of the principle of relativity, on group-theoretic grounds. It correctly captures the limits to [[W:General relativity|general relativity]], in that we can only exchange the translation (&lt;small&gt;&lt;math&gt;\mathrm{T}&lt;/math&gt;&lt;/small&gt;) for ''one'' of the two rotations (&lt;small&gt;&lt;math&gt;\mathrm{Q}&lt;/math&gt;&lt;/small&gt;). An observer in any inertial reference frame can always measure the presence, direction and velocity of ''one'' rotation (&lt;small&gt;&lt;math&gt;\mathrm{Q}&lt;/math&gt;&lt;/small&gt;) up to uncertainty, and can always distinguish the direction of their own proper time translation (&lt;small&gt;&lt;math&gt;\mathrm{T}&lt;/math&gt;&lt;/small&gt;).

As I understand Coxeter theory (which is not mathematically), the symmetry groups underlying physics seem to have an expression in a [[W:Euclidean space|Euclidean space]] of four [[W:dimension|dimension]]s, that is, they are [[W:Euclidean geometry#Higher dimensions|four-dimensional Euclidean geometry]]. Therefore as I understand that geometry (which is entirely by synthetic methods rather than by Clifford's algebraic methods), the [[W:Atom|atom]] seems to have a distinct Euclidean geometry, such that atoms and their constituent particles are four-dimensional geometric objects (4-polytopes), and nature can be understood in terms of their [[W:group action|group actions]], including centrally their group &lt;small&gt;&lt;math&gt;SO(4)&lt;/math&gt;&lt;/small&gt; [[W:rotations in 4-dimensional Euclidean space|rotations in 4-dimensional Euclidean space]]. The distinct Coxeter symmetry groups have characteristic &lt;small&gt;&lt;math&gt;SO(4)&lt;/math&gt;&lt;/small&gt; rotational expressions as the [[W:Regular_4-polytope|regular 4-polytopes]]. Their discrete isoclinic rotations are distinguishing properties of fundamental objects in geometry, relativity and quantum mechanics. For example, we shall see that stationary atoms exhibit the &lt;small&gt;&lt;math&gt;SO(4)&lt;/math&gt;&lt;/small&gt; symmetries of the discrete isoclinic (equi-angled) double rotations (&lt;small&gt;&lt;math&gt;\mathrm{Q^2}&lt;/math&gt;&lt;/small&gt;) of a set of regular 4-polytopes that is characteristic of their [[w:Atomic_number|atomic number]].

== Special relativity describes Euclidean 4-space ==

&lt;blockquote&gt;Our entire model of the universe is built on symmetries. Some, like isotropy (the laws are the same in all directions), homogeneity (same in all places), and time invariance (same at all times) seem natural enough. Even relativity, the Lorentz Invariance that allows everyone to observe a constant speed of light, has an elegance to it that makes it seem natural.&lt;ref&gt;{{Cite book|first=Dave|last=Goldberg|title=The Universe in the Rearview Mirror: How Hidden Symmetries Shape Reality|chapter=§10. Hidden Symmetries: Why some symmetries but not others?|year=2013|publisher=Dutton Penguin Group|isbn=978-0-525-95366-1|ref={{SfnRef|Goldberg|2013}}}}&lt;/ref&gt;&lt;/blockquote&gt;

Although the Minkowski spacetime of relativity is a non-Euclidean 4-dimensional space,{{Efn|Spacetime is a non-Euclidean (curved) 4-dimensional &quot;space&quot; because it consists of three orthogonal space dimensions and a time dimension. The time dimension is not orthogonal to the three spatial dimensions; the time coordinate has the opposite sign to the three space coordinates so spacetime is hyperbolic, not a flat Euclidean 4-space at all.}} it has been noticed that its 3-dimensional space component could be modeled as a [[W:3-sphere|3-sphere]] embedded in 4-dimensional Euclidean (flat) space. That is, we could imagine that the ordinary 3-dimensional space we perceive is the curved 3-dimensional surface of a 4-dimensional ball (since the surface of a 4-ball is a curved 3-dimensional space called a 3-sphere, just as the surface of a 3-ball like the earth is a curved 2-dimensional space called a 2-sphere). This was first described by Einstein himself in 1921, as a thought experiment in which he carefully described his fourth orthogonal spatial dimension as merely a mathematical abstraction.

Subsequently it was noticed by others (not mainstream physicists) that if physical space were really embedded in Euclidean 4-dimensional space (with our 3-dimensional space embedded in 4-space as some 3-manifold, not necessarily a 3-sphere), then the Lorentz transformations of special relativity (spatial forshortenings and time dilations and so forth) could all be explained by ordinary perspective geometry in 4-dimensional Euclidean space. Special relativity reduces to classical geometry (based on the 4-dimensional version of the Pythagorean theorem), but if and only if every observer is moving through 4-space at a universal constant velocity ''c'', in some 4-space direction. 

This counter-intuitive alternative geometric model of relativity, which has usually been called [[W:Formulations of special relativity#Euclidean relativity|Euclidean relativity]], is motivated by the fact that in every kind of relativity, but originally in Einstein's special relativity, each observer moves on a vector through a four-dimensional space consisting of their three proper spatial dimensions and their proper time dimension, and the Pythagorean vector-sum of their motion through this kind of proper 4-space is always ''c'', as measured by all observers in any inertial reference frame. This is the Lorentz invariant, that allows everyone to observe a constant speed of light, regardless of their motion relative to the light source. But no physicists have taken the leap of claiming that therefore, our universe is physically [[W:Euclidean geometry#Higher dimensions|this kind of Euclidean 4-space]], and that observers are actually moving through it at velocity ''c''. In physics as it has been universally understood, observers are not supposed to be able to move at velocity ''c''. Their motion takes place in 3-space and in universal coordinate time (in Minkowski spacetime), and the cosmos is considered to be a non-Euclidean 3-space, generally a closed (finite) expanding 3-space, but with only three spatial dimensions, not four.

In the Euclidean relativity alternative view, however, every observer is always moving at velocity ''c'' through the universe, which is real Euclidean 4-dimensional space &lt;small&gt;&lt;math&gt;\mathbb{R^4}&lt;/math&gt;&lt;/small&gt;. The direction in which they are moving is called their proper time axis.{{Efn|Time in spacetime is universal coordinate time, but there is another kind of time in relativity, the proper time in each inertial reference frame. Your proper time is the time you experience, and every observer has his own proper time; proper time runs at different rates in different inertial reference frames. It runs slower (compared to universal coordinate time) in a gravitational field (according to general relativity), and observers in motion with respect to each other view each other's clocks as running slower than their own clocks (according to special relativity).}} Their movement in time is not just modelled as movement in an abstract fourth dimension (as it is in Minkowski spacetime), their movement in time is isomorphic to their movement through physical space in a distinct direction at velocity ''c''. Their direction of movement through space may be different for different observers (or not, if they happen to be going in the same direction). Your proper time dimension is whichever direction you are moving. The other three directions perpendicular to your proper time axis are the three dimensions of your proper space, which again, may be different directions for you than for other observers moving in a different direction.  There are four orthogonal spatial dimensions which we all share, but we share the same orthogonal proper time axis and proper space axes only if we are at rest with respect to each other, actually moving in the same direction at velocity ''c'', in the same inertial reference frame. Your proper 4-space is rotated with respect to another observer's proper 4-space, precisely as your vectors (directions of motion) are rotated in Euclidean 4-space with respect to each other.{{Efn|The angular divergence between two observer's motion vectors is proportional to their relative velocity: the more they diverge, the greater their relative velocity, up to the maximum divergence possible in the space. In Euclidean relativity all observers are in motion at velocity ''c'' relative to universal 4-coordinate space, so the maximum relative velocity between two observers is 2''c'' when they are moving in exactly opposite directions in 4-space. This is not a contradiction of special relativity, which limits the maximum relative velocity between two observers to ''c'', it is the same measurement in different units. Special relativity measures all velocities in a 3-space of Minkowski spacetime. Euclidean relativity measures all velocities in Euclidean 4-space.}}

So in this novel alternate view of relativity, every mass in the universe must be perpetually in motion at velocity ''c'' in Euclidean 4-space, along with all the masses in its vicinity that are going in (nearly) the same direction. The entire solar system, for example, must be translating in the fourth dimension at the &quot;speed of light&quot; ''c'', although we do not notice it, since we are all moving in that same direction together. Acceleration of an object varies its direction of motion through 4-space, but never its velocity, which is invariant for all objects with mass. Two objects which are in motion relative to each other are both actually in motion at the same velocity ''c'', but in at least slightly different directions. In Einstein's relativity, the invariant ''c'' is the speed of light through 3-space. In Euclidean relativity, the invariant ''c'' is the speed of matter through 4-space! The speed of light through 3-space is also perceived as ''c'' by all observers, because they are each living in a moving 3-manifold that is moving through 4-space at velocity ''c''. 

Despite their extreme differences in viewpoint, Einstein's relativity and Euclidean relativity are equivalent theories in complete agreement with each other, by definition. The two theories make exactly the same predictions about how observers in different reference frames will perceive each other's motions in time and space, and we shall see that they also agree on the predictions of general relativity. They both describe the same geometric relations of space and time, but they describe that geometry as embedded in two very different universal host spaces: Minkowski spacetime versus Euclidean 4-space.

...cite Lewis Epstein's elegant explanation of the Lorentz Invariance as observers moving at constant velocity &lt;math&gt;c&lt;/math&gt; through space and proper time

...cite Yamashita{{Sfn|Yamashita|2023}} on the equivalence of special relativity and Euclidean 4-space relativity

...cite Kappraff &amp; Adamson's 2003 paper on The Relationship of the Cotangent Function to Special Relativity Theory, geometry and properties of number,{{Sfn|Kappraff &amp; Adamson|2003|loc=Special Relativity Theory, Geometry and properties of number}} which shows how the Lorentz coefficient is a function of a deep geometric property of number{{Sfn|Kappraff &amp; Adamson|2000|loc=A Fresh Look at Number}} discovered by Steinbach,{{Sfn|Steinbach|1997|loc=Golden Fields: A Case for the Heptagon}} by means of which the root formula of geometry in any Euclidean dimension, the Pythagorean theorem, may be derived solely in terms of the addition of polygon side lengths, without recourse to their products or squares. More generally, Steinbach found that in the relations among regular polytope chords, to add is to multiply; every chord is both the product (quotient) of a pair of chords and the sum (difference) of another pair of chords.

Euclidean relativity is not even a fringe theory; no physicists have adopted it. There are many good reasons why the revolutionary leap to a four orthogonal spatial dimensions viewpoint has not been taken, beginning with the universally observed fact that we can only construct three perpendiculars through a point in our immediate space, which appears to be resolutely 3-dimensional, not 4-dimensional. Euclidean relativity offers a nice geometric explanation of the reasons for the Lorentz transformations, but only at the cost of raising other mysteries, which have been difficult for its aficionados to explain. Another mystery is how light signals between observers in relative motion could &quot;catch up&quot; with the receiver moving on a diverging path through 4-space from the emitter. If both observers are already moving at ''c'' (on diverging paths), the propagation speed of light through 4-space between them would have to be greater than ''c''. Euclidean relativity is a revolutionary theory indeed, in which ''c'' cannot possibly be the speed of light!

We conclude that, for a theory of Euclidean 4-space to be physically viable (that is, for it to be our real space and not merely an abstract mathematical space), the speed of light through Euclidean 4-space must be &lt;math&gt;c^\prime = 2c&lt;/math&gt;, with massless photons translating through 4-space at twice the speed of mass-carrying objects. Photons must translate the diagonal distance through 4-space along the long diameter of a unit 4-hypercube, in the same time that massive particles translate linearly along the edge of a unit 4-hypercube. This is conceivable in 4-space (and in no other Euclidean space of any dimensionality) because the diagonal of the unit 4-hypercube is the natural number &lt;small&gt;&lt;math&gt;\sqrt{4}&lt;/math&gt;&lt;/small&gt;.

== An object's motion in space is the product of its discrete self-reflections ==
Coxeter theory describes all the possible motions of an object in space as local functions of the object's discrete geometry (its shape). Coxeter observed that in a Euclidean space of any number of dimensions, any displacement of a geometric object from one place to another, and any rotation of the object from one orientation to another, can be broken down into the product of a small number of discrete self-reflections. Any action of a geometric object that transforms its position and orientation in space may be measured as a distinct group of self-reflections of the object in its own surfaces. Any motion of the object whatsoever may be precisely described as the object propagating itself through space by a discrete set of local self-reflections.

Coxeter found that both changes in position (translations) and changes in orientation (rotations) can be broken down into the simplest of all displacements (self-reflections). A translation occurs when an object self-reflects twice, in two distinct surfaces which are parallel to each other. A rotation also occurs when an object self-reflects twice, but in two distinct surfaces which touch (intersect each other). When a  object self-reflects once, it turns itself inside out (it reverses its chirality), but in translations and rotations it self-reflects twice, leaving itself right-side-out again.

Coxeter's laws of motion are a geometric counterpart to Newton's laws of motion in three dimensional Euclidean space. They are helpful because they can be understood as simple geometric pictures, by anyone baffled by algebraic formulas. But they are also a revolutionary advance beyond Newton's laws, because Coxeter formulated them in Euclidean spaces of any number of dimensions. For example, they give us simple geometric pictures of all the possible motions of objects in four dimensional Euclidean space:

&lt;blockquote&gt;Every orthogonal transformation in 4-space is expressible as:&lt;br&gt;
:&lt;small&gt;&lt;math&gt;\mathrm{Q}^q \mathrm{R}^r \mathrm{T}^t&lt;/math&gt;&lt;/small&gt;&lt;br&gt;
where &lt;small&gt;&lt;math&gt;(2^q + r + t \le 4)&lt;/math&gt;&lt;/small&gt;. Every displacement is either a double rotation &lt;small&gt;&lt;math&gt;\mathrm{Q}^2&lt;/math&gt;&lt;/small&gt;, or a screw-displacement &lt;small&gt;&lt;math&gt;\mathrm{QT}&lt;/math&gt;&lt;/small&gt; [where the rotation component &lt;small&gt;&lt;math&gt;\mathrm{Q}&lt;/math&gt;&lt;/small&gt; is a simple rotation, but the &lt;small&gt;&lt;math&gt;\mathrm{QT}&lt;/math&gt;&lt;/small&gt; is chiral like a &lt;small&gt;&lt;math&gt;\mathrm{Q^2}&lt;/math&gt;&lt;/small&gt;]. Every enantiomorphous transformation in 4-space (reversing chirality) is a &lt;small&gt;&lt;math&gt;\mathrm{QRT}&lt;/math&gt;&lt;/small&gt;.&lt;/blockquote&gt;

While this description may be understood as simple geometric pictures, some of the pictures may not be easy for us to visualize, since we have no physical experience in 4-dimensional space. &lt;small&gt;&lt;math&gt;\mathrm{R}, \mathrm{T}, \mathrm{Q}&lt;/math&gt;&lt;/small&gt; are just what they are in three-dimensional space, but &lt;small&gt;&lt;math&gt;\mathrm{Q}^2&lt;/math&gt;&lt;/small&gt; is something new and unprecedented in our physical experience, because double rotations do not occur until you have four or more dimensions of space to rotate in.

...to readers who have not studied Coxeter (almost all readers including TAC), the blockquote above is &quot;just math&quot;, not visualizable geometry...but I could describe Coxeter's congruent transformations in 4-space here geometrically: I could say clearly what they mean in spatial terms, in language anyone can understand, because they don't require any math to be understood; the &quot;math&quot; here is really just simple pictures (reflections and rotations); even double rotations can be visualized by dimensional analogy, as compounds of simple rotations...since even most physicists are unacquainted with Coxeter geometry, it really is important that I do this here...

== Light propagates through 4-space at twice its apparent velocity ''c''==
Coxeter's geometric laws of motion apply to all objects with mass in 4-dimensional Euclidean space, but we find there is an additional kind of displacement which applies only to massless particles such as photons. Light quanta (photons) translate through 4-space by 4-dimensional reflection &lt;small&gt;&lt;math&gt;\mathrm{R}^4&lt;/math&gt;&lt;/small&gt;, which may be termed a double translation &lt;small&gt;&lt;math&gt;\mathrm{T}^2&lt;/math&gt;&lt;/small&gt;, a pure translation via two pairs of parallel reflections, without any rotation component &lt;small&gt;&lt;math&gt;\mathrm{Q}&lt;/math&gt;&lt;/small&gt;.

Matter (atoms and all particles with mass) are perpetually rotating and translating through 4-space by &lt;small&gt;&lt;math&gt;\mathrm{QT}&lt;/math&gt;&lt;/small&gt;, a screw translation of a rotating object, which is relativistically equivalent to a stationary isoclinic &lt;small&gt;&lt;math&gt;\mathrm{Q^2}&lt;/math&gt;&lt;/small&gt;, an isoclinically rotating object such as an atom. A simple rotation &lt;small&gt;&lt;math&gt;\mathrm{Q}&lt;/math&gt;&lt;/small&gt; or simple translation &lt;small&gt;&lt;math&gt;\mathrm{T}&lt;/math&gt;&lt;/small&gt; is a double reflection &lt;small&gt;&lt;math&gt;\mathrm{R^2}&lt;/math&gt;&lt;/small&gt;, so a &lt;small&gt;&lt;math&gt;\mathrm{QT}&lt;/math&gt;&lt;/small&gt; or &lt;small&gt;&lt;math&gt;\mathrm{Q^2}&lt;/math&gt;&lt;/small&gt; is also an &lt;small&gt;&lt;math&gt;\mathrm{R^4}&lt;/math&gt;&lt;/small&gt;, but not with the same group of reflection angles as a light signal &lt;small&gt;&lt;math&gt;\mathrm{R^4}&lt;/math&gt;&lt;/small&gt;. A translation &lt;small&gt;&lt;math&gt;\mathrm{T = R^2}&lt;/math&gt;&lt;/small&gt; is a double reflection in two parallel planes, and a rotation &lt;small&gt;&lt;math&gt;\mathrm{Q = R^2}&lt;/math&gt;&lt;/small&gt; is a double reflection in two intersecting planes, as in a &lt;small&gt;&lt;math&gt;\mathrm{QT = R^4}&lt;/math&gt;&lt;/small&gt; which is both at once. A double translation &lt;small&gt;&lt;math&gt;\mathrm{T^2 = R^4}&lt;/math&gt;&lt;/small&gt; is two or more double reflections in pairs of parallel planes at once, a reflection in four or more non-intersecting parallel planes; it is all translation and no rotation. In a &lt;small&gt;&lt;math&gt;\mathrm{T^2}&lt;/math&gt;&lt;/small&gt; all the motion goes to translation, so the translation goes twice as far as the simple translation &lt;small&gt;&lt;math&gt;\mathrm{T}&lt;/math&gt;&lt;/small&gt; in a &lt;small&gt;&lt;math&gt;\mathrm{QT}&lt;/math&gt;&lt;/small&gt;. A double translation &lt;small&gt;&lt;math&gt;\mathrm{T^2 = R^4}&lt;/math&gt;&lt;/small&gt; is the opposite of a double rotation &lt;small&gt;&lt;math&gt;\mathrm{Q^2 = R^4}&lt;/math&gt;&lt;/small&gt;, which is stationary but rotates twice as fast as the simple rotation &lt;small&gt;&lt;math&gt;\mathrm{Q}&lt;/math&gt;&lt;/small&gt; in a &lt;small&gt;&lt;math&gt;\mathrm{QT}&lt;/math&gt;&lt;/small&gt;. 

The product of the two translations in a &lt;small&gt;&lt;math&gt;\mathrm{T^2}&lt;/math&gt;&lt;/small&gt; is a diagonal 4-space translation over the long diameter of the unit 4-hypercube, exactly twice the distance of a simple &lt;small&gt;&lt;math&gt;\mathrm{T}&lt;/math&gt;&lt;/small&gt; over the edge length (or radius) of the unit 4-hypercube.{{Efn|The 4-hypercube (also known as the 8-cell or tesseract) is ''radially equilateral'', which means its edge length is equal to its radius, like the hexagon. So its long diameter (twice its radius) is exactly twice its edge length.}} The photon moves an equal distance in four orthogonal directions. By the four-dimensional Pythagorean theorem, each of those four distances is half the total distance the photon moves: one edge length (one radius) is half the total diagonal distance moved (the long diameter). That total movement is a double-the-distance translation, but without any rotation component, so it cannot carry any mass with it. A &lt;small&gt;&lt;math&gt;\mathrm{T^2}&lt;/math&gt;&lt;/small&gt; cannot reposition a 4-polytope the way a &lt;small&gt;&lt;math&gt;\mathrm{QT}&lt;/math&gt;&lt;/small&gt; does, it can only reposition a quantum of energy that has no distinguishing rotational symmetry, such as a photon. That is the price light pays to move exactly twice as fast as matter.

...lensing of double translations &lt;small&gt;&lt;math&gt;\mathrm{T^2 = R^4}&lt;/math&gt;&lt;/small&gt; in more than two pairs of parallel planes at once...relationship to the frequency of light emitted and the coherence length of the wave packet...

== The Kepler problem is framed in Euclidean 4-space ==

The [[W:Kepler problem|Kepler problem]] is named for [[W:Johannes Kepler|Johannes Kepler]], the greatest geometer since the ancients up to [[w:Ludwig Schläfli|Ludwig Schläfli]], who proposed [[W:Kepler's laws of planetary motion|Kepler's laws of planetary motion]] which solved the problem of the orbits of the planets, and investigated the types of forces that would result in orbits obeying those laws. Those forces were later identified by [[W:Isaac Newton|Isaac Newton]] in his[[W:Philosophiæ Naturalis Principia Mathematica| Principia]], where he proves what today might be called the &quot;inverse Kepler problem&quot;: the orbit characteristics require the force to depend on the inverse square of the distance.&lt;ref&gt;{{Cite book|last=Feynman|first=Richard|title=Feynman's Lost Lecture: The Motion of Planets Around the Sun|date=1996|publisher=W. W. Norton &amp; Company|isbn=978-0393039184}}&lt;/ref&gt; 

The inverse square law behind the Kepler problem is the [[W:Central force|central force]] law which governs not only [[W:Newtonian gravity|Newtonian gravity]] and celestial orbits, but also the motion of two charged particles in [[W:Coulomb’s law|Coulomb’s law]] of [[W:Electrostatics|electrostatics]]; it applies to attractive or repulsive forces. Problems in which two bodies interact by a central force that varies as the [[W:Inverse square law|inverse square]] of the distance between them are called Kepler problems. Thus the [[W:Hydrogen atom|hydrogen atom]] is a Kepler problem, since it comprises two charged particles interacting by Coulomb's law, another inverse-square central force. 

Using classical mechanics, the solution to a Kepler problem can be expressed as a [[W:Kepler orbit|Kepler orbit]] using six kinematical variables or [[W:Orbital elements|orbital elements]]. The solution conserves an orbital element called the [[W:Laplace–Runge–Lenz vector|Laplace–Runge–Lenz (LRL) vector]], a [[W:Constant of motion|constant of motion]], meaning that it is the same no matter where it is calculated on the orbit. The LRL vector was essential in the first quantum mechanical derivation of the [[W:Atomic emission spectrum|spectrum]] of the hydrogen atom, but this approach has rarely been used since the development of the [[W:Schrödinger equation|Schrödinger equation]]. The conservation of the LRL vector corresponds to the &lt;small&gt;&lt;math&gt;SO(4)&lt;/math&gt;&lt;/small&gt; symmetry, by Nother's theorem. The LRL vector lies orthogonal to both the orbital plane and the angular momentum vector of the Kepler orbit, in a fourth orthogonal dimension. Fock in 1935&lt;ref&gt;V. Fock, Zur Theorie des Wasserstoffatoms, Zeitschrift für Physik. 98 (3-4) (1935), 145–154.&lt;/ref&gt; and Moser in 1970&lt;ref&gt;J. Moser, Regularization of Kepler’s problem and the averaging method on a manifold, Commun. Pure Appl. 23 (1970), 609–636&lt;/ref&gt; observed that the Kepler problem is mathematically equivalent to non-affine geodesic motion (a particle moving freely) on the surface of a 3-sphere, so that the whole problem is symmetric under certain rotations of the four-dimensional space. This higher-dimensional symmetry results in two well-known properties of the Kepler problem: the momentum vector always moves in a perfect circle and, for a given total energy, all such velocity circles intersect each other in the same two points. 

...

Relativity establishes that an orbit in space is viewed in a different way in each distinct inertial reference frame. Depending on the choice of reference frame, the same Kepler system may be seen to be performing any one of a sequence of relativistically equivalent rotations in 4-space, on a continuum from an isoclinic rotation (Q&lt;sup&gt;2&lt;/sup&gt;) in the orbit's proper reference frame, to a screw transfer (QT) with a simple rotation component (Q) and a translation component (T) at velocity &lt;math&gt;c&lt;/math&gt;, in the universal reference frame of 4-coordinate space wherein every object is seen to be translating at velocity &lt;math&gt;c&lt;/math&gt;. In reference frames between these two limit cases, the orbit is seen to be performing a double rotation (Q&lt;sup&gt;2&lt;/sup&gt;) at two unequal, completely orthogonal angular rates of rotation: an elliptical double rotation. These include the reference frames of most typical observers, who are moving slowly relative to the observed orbital system's reference frame (their relative motion is a small fraction of the speed of light). In these cases the non-isoclinic elliptical (Q&lt;sup&gt;2&lt;/sup&gt;) resembles a (QT), because one of its two completely orthogonal rotations (Q) has such a long period that it is almost indistinguishable from a straight translation (T).

All orbits in 4-space are isoclinic in their own reference frame. Orbiting objects in their own proper Kepler systems follow circular geodesic isoclines through 4-space. Orbits in 4-space are perfectly circular in their own reference frame, as Copernicus assumed the orbits of planets to be. It is the orbit's path through the 3-space of its elliptic hyperplane that is an ellipse, as Kepler found it to be.

The geodesic circle that an orbiting object follows through 4-space in the proper reference frame of its own Kepler system is not a simple great circle which turns in two orthogonal dimensions. It is a helical great circle that turns in four orthogonal dimensions at once.{{Efn|Geodesic orbits in 4-space are not simple 2-dimensional great circles; they are helical 4-dimensional great circles that curve in all four dimensions at once. Their circular trajectories are helixes which we call ''isoclines'', since they are the paths taken by points on a rigid object undergoing isoclinic rotation.}} Such circles lie outside our physical experience, since our local space has only three orthogonal dimensions. Nonetheless we can visualize them in imagination, because their helical, circular shape is perfectly well defined by the kinematical variables of the Kepler orbit. 

Moreover, the real physical correlates of abstract orthogonal planes and rotation angles are very familiar to us viscerally in our body-language of physical experience, and we are also endowed with highly evolved visual signal processing engines. These enable us to see and understand spatial relations and motions including rotations without even thinking about angles and orthogonal planes. This physical endowment amounts to an inborn capacity for dimensional analogy, since all our instinctive spatial reasoning is by dimensional analogy from flat 2-dimensional retinal images to 3-dimensional scenes, using our powerful instinctive  visualization capacities of reverse stereographic projection and pattern recognition. We humans are thus very well equipped with everything we need to see in four-dimensional space...

...cite Jesper Goransson's very concise paper

...

Recently Anco and Moghadam found that through Noether’s theorem in reverse, the LRL vector gives rise to a corresponding infinitesimal dynamical symmetry on the kinematical variables, which they show to be the semi-direct product of &lt;small&gt;&lt;math&gt;SO(3)&lt;/math&gt;&lt;/small&gt; and &lt;small&gt;&lt;math&gt;\mathbb{R^3}&lt;/math&gt;&lt;/small&gt;, in contrast to the &lt;small&gt;&lt;math&gt;SO(4)&lt;/math&gt;&lt;/small&gt; symmetry group generated by the LRL symmetries and the rotations.{{Sfn|Anco|Moghadam|2026|ps=; The physically relevant part of the LRL vector is its direction  ... since its magnitude is just a function of energy and angular momentum.}} This remarkable symmetry breaking is expressive of the ''dimensional relativity'' between ordinary 3-space &lt;small&gt;&lt;math&gt;\mathbb{R^3}&lt;/math&gt;&lt;/small&gt;, spherical space &lt;small&gt;&lt;math&gt;S^3&lt;/math&gt;&lt;/small&gt; and Euclidean space &lt;small&gt;&lt;math&gt;\mathbb{R^4}&lt;/math&gt;&lt;/small&gt;.

Consider a hydrogen atom in a Kepler orbit: for example, a hydrogen atom moving freely in space in an orbit around the sun. It is a ''double'' Kepler problem: an electrostatic Kepler problem within itself, and a gravitational Kepler problem in its environment. 

The ''single'' electrostatic Kepler problem of a hydrogen atom moving freely in space beyond any gravitational influence is a problem in special relativity. In our Euclidean 4-space model, this atom viewed as stationary in its own proper reference frame exhibits an &lt;small&gt;&lt;math&gt;SO(4)&lt;/math&gt;&lt;/small&gt; rotation symmetry corresponding to an isoclinic double rotation (&lt;small&gt;&lt;math&gt;\mathrm{Q^2}&lt;/math&gt;&lt;/small&gt;). The fourth dimension in this reference frame is the atom's proper time vector; it has constant velocity &lt;math&gt;c&lt;/math&gt; and constant direction. From the point of view of our universal 4-coordinate space (which cannot be the proper inertial reference frame of any physical observer, all of whom are moving relative to it at velocity ''c''), the entire Kepler system (the atom) is translating through 4-space via a screw translation (&lt;small&gt;&lt;math&gt;\mathrm{QT}&lt;/math&gt;&lt;/small&gt;) at constant velocity &lt;math&gt;c&lt;/math&gt;. From this viewpoint the atom has only a simple &lt;small&gt;&lt;math&gt;SO(3)&lt;/math&gt;&lt;/small&gt; rotation component (&lt;small&gt;&lt;math&gt;\mathrm{Q}&lt;/math&gt;&lt;/small&gt;), breaking its stationary &lt;small&gt;&lt;math&gt;SO(4)&lt;/math&gt;&lt;/small&gt; isoclinic rotation symmetry (&lt;small&gt;&lt;math&gt;\mathrm{Q^2}&lt;/math&gt;&lt;/small&gt;). Because each discrete part of the rotating atom moves along a helical trajectory through 4-space, the atom is in orbit around a barycentric axis (like a star in a galaxy), but only in a tiny orbit within its own radius, which is its inertial domain of rotation. The straight 4-dimensional cylinder it progresses along at velocity &lt;math&gt;c&lt;/math&gt; is very narrow: only the diameter of the rotating atom itself.

The gravitational Kepler problem of a hydrogen atom in a Kepler orbit around the sun is a problem in general relativity. In our 4-space model, this atom viewed in its own proper reference frame exhibits the same &lt;small&gt;&lt;math&gt;SO(4)&lt;/math&gt;&lt;/small&gt; rotation symmetry as it did in the electrostatic Kepler problem where the atom was translating linearly through space. The Kepler system in this case is not just the atom; it is the entire solar system. The LRL vector of this Kepler system is the proper time vector of the atom's inertial reference frame; once again it has constant velocity ''and constant direction''. Although the momentum vector moves in a perfect circle as the atom orbits the sun, the 4-space LRL vector does not move at all: it is a constant of motion, of linear motion (&lt;small&gt;&lt;math&gt;\mathrm{T}&lt;/math&gt;&lt;/small&gt;) of the Kepler system (the entire solar system in this case) in a constant 4-space direction, the proper time direction of the system. The direction of the system's proper time vector would vary under some kinds of acceleration of the atom, but it is constant under this kind of orbital acceleration. It continues to point in the same direction, like a 4-space compass needle, as the atom winds its way along its spiral path around the axis of the sun's straight-line translation through 4-space at velocity &lt;math&gt;c&lt;/math&gt;. This compass needle always points in the direction the sun is moving, not the direction the atom is moving at any instant.

...Its Kepler orbit around the sun is its &lt;small&gt;&lt;math&gt;SO(3)&lt;/math&gt;&lt;/small&gt; rotation component (&lt;small&gt;&lt;math&gt;\mathrm{Q}&lt;/math&gt;&lt;/small&gt;).

Although the atom is moving on a geodesic circle in the second problem, by the [[equivalence principle]] the difference in the state of the atomic systems in these two problems cannot be observed by examining the atoms alone. Even from another inertial reference frame, where the atom in the second problem is seen to be translating through 4-space via a wide screw translation (&lt;small&gt;&lt;math&gt;\mathrm{QT}&lt;/math&gt;&lt;/small&gt;) around the sun's axis of motion, there is still no difference between the two problems which can be detected by examining only the atoms within their own proper reference frames (even over time), because the LRL vector (&lt;small&gt;&lt;math&gt;\mathrm{T}&lt;/math&gt;&lt;/small&gt;) is a constant of motion of the entire system in both cases.

...Anco and Maghadam found that &lt;small&gt;&lt;math&gt;SO(4)&lt;/math&gt;&lt;/small&gt;) breaks to ... &lt;small&gt;&lt;math&gt;S^3&lt;/math&gt;&lt;/small&gt;)... if the energy in the Kepler orbit is negative (an elliptical orbit), and to ... &lt;small&gt;&lt;math&gt;H^3&lt;/math&gt;&lt;/small&gt;) ... Minkowski spacetime if the energy is positive (a hyperbolic orbit).

...

Finally we consider a third problem in which a hydrogen atom enters the solar system as a comet, loops around the sun and exits the solar system again. This atom...

...

As Hamilton found when he discovered the quaternions, we see that it is necessary to admit a fourth dimension to the system in order to properly model the problem: in Hamilton's case the general problem of ..., and in our case the Kepler problem. These are instances of the same problem in 4-dimensional Euclidean geometry, and indeed a solution to the Kepler problem in quaternions (the four Cartesian coordinates of Euclidean 4-space) is a solution to it in our model of the 4-coordinate Euclidean cosmos.

== Distribution of stars in our galaxy ==

The stars in our own galaxy appear to us to be a rotating spiral cluster in 3-dimensional space. By assuming that light from them reaches us on straight lines through space, by assuming that we can measure their distance from us by its red shift, and by assuming that they are distributed in three dimensions of space, we have plotted their locations in 3-space. If we abandon the last of those three assumptions, we can just as easily reinterpret that dataset to plot their distribution around us in 4-dimensional space, and see how they actually lie. 

When we perform this experiment on the data for the stars in our galaxy, do we indeed find that they are distributed non-uniformly in various concentric spirals, but the spirals lie on the surface of various 3-spheres, rather than in elliptical orbits as we saw them in 3-space? That would be an expected consequence of the special rotational symmetry group of 4-space &lt;small&gt;&lt;math&gt;SO(4)&lt;/math&gt;&lt;/small&gt;, in which circular (isoclinic) orbits are the geodesics (shortest rotational paths) rather than elliptical (non-equi-angled double rotation) orbits.

...have to perform this experiment somehow, at least as a conclusive thought experiment, before I publish this paper...

== Rotations ==
The [[W:Rotations in 4-dimensional Euclidean space#Isoclinic rotations|isoclinic rotations]] of the convex [[W:regular 4-polytope|regular 4-polytope]]s are usually described as discrete rotations of a rigid object. For example, the rigid [[24-cell]] can rotate in a [[24-cell#Great hexagons|hexagonal]] (6-vertex) central [[24-cell#Planes of rotation|plane of rotation]]. A 4-dimensional [[24-cell#Isoclinic rotations|''isoclinic'' rotation]] (as distinct from a [[24-cell#Simple rotations|''simple'' rotation]] like the ones that occur in 3-dimensional space) is a ''diagonal'' rotation in multiple [[W:Clifford parallel|Clifford parallel]] [[24-cell#Geodesics|central planes]] of rotation at once. It is diagonal because it is a [[W:SO(4)#Double rotations|double rotation]]: in addition to rotating in parallel (like wheels), the multiple planes of rotation also tilt sideways in the completely orthogonal plane of rotation (like coins flipping) into each other's planes. Consequently, the path taken by each vertex is a [[24-cell#Helical hexagrams and their isoclines|twisted helical circle]], rather than the ordinary flat great circle a vertex follows in a simple rotation. In a rigid 4-polytope rotating isoclinically, ''all'' the vertices lie in one of the parallel planes of rotation, so all the vertices move in parallel along Clifford parallel twisting circular paths. [[24-cell#Clifford parallel polytopes|Clifford parallel planes]] are not parallel in the normal sense of parallel planes in three dimensions; the vertices are all moving in different directions around the [[W:3-sphere|3-sphere]]. In one complete 360° isoclinic revolution, a rigid 4-polytope turns itself inside out.

This is sufficiently different from the simple rotations of rigid bodies in our 3-dimensional experience that a [[24-cell#Rotations|detailed description]] enabling the reader to properly visualize its counter-intuitive consequences runs to many pages and illustrations, with many accompanying pages of explanatory notes on surprising phenomena that arise in 4-dimensional space: [[24-cell#Great squares|completely orthogonal planes]], [[24-cell#Clifford parallel polytopes|Clifford parallelism]]{{Efn|name=Clifford parallels}} and [[W:Hopf fibration|Hopf fiber bundles]], [[24-cell#Isoclinic rotations|isoclinic geodesic paths]], and [[24-cell#Double rotations|chiral (mirror image) pairs of rotations]], among other complexities. Moreover, the characteristic rotations of the various regular 4-polytopes are all different; each is a unique surprise. [[User:Dc.samizdat/Rotations#Sequence of regular 4-polytopes|The 6 regular convex 4-polytopes]] have different numbers of vertices (5, 8, 16, 24, 120 and 600 respectively) and those with fewer vertices occur inscribed in those with more vertices (with one exception), with the result that the more complex 4-polytopes subsume the kinds of rotations characteristic of their less complex predecessors, as well as each having a characteristic kind of rotation not found in their predecessors. None of these symmetries is to be found in 3-dimensional space, although their simpler 3-dimensional analogues are all present there. [[W:Euclidean geometry#Higher dimensions|Four dimensional Euclidean space]] is more complicated (and more interesting) than three dimensional space because there is more room in it, in which unprecedented things can happen. It subsumes 3-dimensional space, with all of the symmetries we are accustomed to, and adds astonishing new surprises. These are hard for us to visualize, because the only way we can experience them is in our imagination; we have no body of sensory experience in 4-dimensional space to draw upon, other than our evolution in time.

For that reason (our difficulty in visualizing them), descriptions of isoclinic rotations usually begin and end with rigid rotations: [[24-cell#Isoclinic rotations|for example]], all 24 vertices of a single rigid 24-cell rotating in unison, with 6 vertices evenly spaced around each of 4 Clifford parallel twisted circles.{{Efn|name=360 degree geodesic path visiting 3 hexagonal planes}} But that is only the simplest case, which is easiest for us to understand. Compound and [[W:Kinematics|kinematic]] 24-cells (with moving parts) are even more interesting (and more complicated) than the rotation of a single rigid 24-cell. 

To begin with, when we examine the individual parts of a single rigid 24-cell that are moving in an isoclinic rotation, such as the orbits of individual vertices, we can imagine a case where fewer than 24 point-objects are orbiting on those twisted circular paths at once. [[24-cell#Reflections|For example]], if we imagine just 8 point-objects, evenly spaced around the 24-cell at [[24-cell#Reciprocal constructions from 8-cell and 16-cell|the 8 vertices that lie on the 4 coordinate axes]], and rotate them isoclinically along exactly the same orbits they would take in the above-mentioned rotation of a rigid 24-cell, then in the course of a single 360° rotation the 8 point-objects will trace out the whole 24-cell, with just one point-object reaching each of the 24 vertex positions just once, and no point-object colliding with (or even crossing the path of) any other at any time. This is an example of a discrete Hopf fibration. But it is still an example of a rigid object in a discrete isoclinic rotation: a rigid 8-vertex object (called the 4-[[W:orthoplex|orthoplex]] or [[16-cell]]) performing one half of the characteristic rotation of the 24-cell. 

We can also imagine ''combining'' distinct isoclinic rotations. What happens when multiple point-objects are orbiting at once, but do ''not'' all follow the Clifford parallel paths characteristic of the ''same'' distinct rigid rotation? What happens when we combine orbits from distinct rotations characteristic of different 4-polytopes, for example when different rigid 4-polytopes are concentric and rotating simultaneously in their characteristic ways? What kinds of such hybrid rotations are possible in the same 3-sphere shell without collisions? In adjacent concentric shells without asymmetric imbalance? What sort of [[Kinematics of the cuboctahedron|kinematic polytopes]] do they trace out, and how do their [[24-cell#Clifford parallel polytopes|component parts]] relate to each other as they move? Is there (sometimes) some kind of mutual stability amid their lack of combined rigidity? Visualizing isoclinic rotations (rigid and otherwise) allows us to explore such questions of [[W:kinematics|kinematics]], and where dynamic stabilities arise, of [[wikipedia:kinetics (physics)|kinetics]].

In four dimensions, we discover that space has more room in it than we have experienced, which permits previously unimagined motions. Even 3-space is more commodious than we thought; when it is curved and lies embedded in a higher-dimensional space, it permits previously impossible symmetric packings. Sadoc studied double-twisted 3-dimensional molecules, and imagined them embedded in 4-dimensional space as the Hopf fibrations of regular 4-polytopes. He found that these molecules would close-pack on the 3-sphere perfectly without exhibiting any torsion, although their packing in ordinary flat 3-space is imperfect, &quot;frustrated&quot; by their twisted geometry.
&lt;blockquote&gt;The frustration, which arises when the molecular orientation is transported along the two [spiral] AB paths of figure 1 [double twist helix], is imposed by the very topological nature of the Euclidean space R&lt;sup&gt;3&lt;/sup&gt;. It would not occur if the molecules were embedded in the non-Euclidean space of the [[W:3-sphere|3-sphere]] S&lt;sup&gt;3&lt;/sup&gt;, or hypersphere. This space with a homogeneous positive curvature can indeed be described by equidistant and uniformly twisted fibers, along which the molecules can be aligned without any conflict between compactness and [[W:torsion of a curve|torsion]].... The fibres of this [[W:Hopf fibration|Hopf fibration]] are great circles of S&lt;sup&gt;3&lt;/sup&gt;, the whole family of which is also called the [[W:Clifford parallel|Clifford parallel]]s.{{Efn|name=Clifford parallels}} Two of these fibers are C&lt;sub&gt;∞&lt;/sub&gt; symmetry axes for the whole fibration; each fibre makes one turn around each axis and regularly rotates when moving from one axis to another.{{Efn|name=helical geodesic}} These fibers build a double twist configuration while staying parallel, i.e. without any frustration, in the whole volume of S&lt;sup&gt;3&lt;/sup&gt;.{{Efn|name=Petrie polygon of a honeycomb}} They can therefore be used as models to study the condensation of long molecules in the presence of a double twist constraint.{{Sfn|Sadoc &amp; Charvolin|2009|loc=§1.2 The curved space approach|ps=; studies the helical orientation of molecules in crystal structures and their imperfect packings (&quot;frustrations&quot;) in 3-dimensional space.}}&lt;/blockquote&gt;

Of course we do not find molecules condensing to close-pack the 3-sphere in our experience, and Sadoc does not say that we do. We find 3-spheres in the atomic realm (if atoms are 4-polytopes), and in the cosmic realm (as the surface boundaries of stars, and the concentric surfaces of galaxies). But in between, in the realm of ordinary experience which includes the molecular realm, ourselves and all the objects we can materially handle or observe up close including the planets, we are confined together by gravity as inertia within a curved 3-dimensional space that is no more than one atom thick in the fourth spatial dimension. That is why in the molecular realm we find only objects that occupy 3-spaces which, though infinitesimally curved in the fourth dimension, are tiny patches on whole 3-spheres of galactic size. So Sadoc's exercise is a thought experiment, like Einstein's gedankenexperiments about railroad embankments and trains moving at nearly the speed of light. It is no less illuminating, despite the symmetry it reveals not having a realization as an actual 3-sphere of actual molecules. And might not something very like it have an actual realization in the atomic realm? 

We know that atoms have their own complex internal structure, which we are unable to model geometrically in ordinary 3-dimensional space. Suppose such a model is impossible because an atom is actually a 4-polytope occupying a tiny spherical region of 4-dimensional space, and so we only find its constituent particles in close-packed helical orbits on the 3-sphere, in the manner of Sadoc's imaginary twisted molecules, but as real 4-dimensional helices of atomic scale. We would expect to find the atomic orbit of a fundamental particle in some discrete Hopf fibration characteristic of a symmetry group, that is, on the maximally symmetric isoclines of a discrete isoclinic rotation characteristic of some regular 4-polytope and the particle.

== A theory of the Euclidean atom ==
...

== Light and Mass are Reflection and Rotation ==

The phenomena of light and mass are expressions of reflection symmetries and rotation symmetries, respectively.

...

Atoms are 4-polytopes, elementary objects with SO(4) rotational symmetry.

Light is ....

Motion in space is the propagation of the elementary objects of light and matter in Coxeter congruent transformations by kaleidoscopic self-reflections, like the motion of self-reproducing cellular automata in [[Conway's Game of Life|Conway's game of life]].

...

=== Atoms are 4-polytopes ===

...

== Relativity in real space of four or more orthogonal dimensions ==

Special relativity is Galilean relativity in a Euclidean space of four orthogonal dimensions.

General relativity is Galilean relativity in a general space of four or more orthogonal dimensions, e.g. in Euclidean 4-space &lt;math&gt;R^4&lt;/math&gt;, spherical 4-space &lt;math&gt;S^4&lt;/math&gt;, and any orthogonal 4-manifold.

Light is a consequence of symmetry group reflections at quantum scale. Gravity and the other fundamental forces are consequences of rotations, which are consequences of quantum reflections. Both kinds of motion are group actions, expressions of intrinsic symmetries. That is all of physics.

Every observer may properly see themself as stationary and the universe as an ''n''-sphere with themself at the center. The curvature of these spheres is a function of the rate at which causality evolves, and can be measured by the observer as the speed of light.

=== Special relativity is Galilean relativity in a Euclidean space of four orthogonal dimensions ===

...TAC suggests this section is needed sooner, i.e. in the preceding Special Relativity section, as it explains how Euclidean relativity reduces special relativity to 4D perspective geometry...it's misplaced (too late) here...

Perspective effects known as the Lorentz transformations occur because each observer's proper 3-dimensional space is a moving curved manifold embedded in flat 4-dimensional Euclidean space. The curvature of their 3-space complicates sightline calculations for observers; they sometimes require Lorentz transformations to produce the actual 4-space Cartesian coordinates of objects in the scene being observed. But if all four spatial dimensions are considered, no Lorentz transformations are required (or permitted) in correct scene construction, except when an observer wants to calculate a projection, that is, the shadow of how things will appear to them from a three-dimensional viewpoint (not how they really are).{{Sfn|Yamashita|2023}} Space really has four orthogonal dimensions, and space and time behave there just as they do in a classical vector space, only bigger by one dimension. 

It is not necessary to combine 4-space with time in a unified spacetime to explain 4-dimensional perspective effects at high relative velocities, because Euclidean 4-space is already 4-dimensional, and those effects fall out naturally from the 4-dimensional Pythagorean theorem, exactly as ordinary visual perspective does in three dimensions from the 3-dimensional Pythagorean theorem. Because one of the four spatial dimensions corresponds to an observer's direction of motion (in both space and proper time), and all observers and all scenes being observed are in motion (at constant velocity) in their respective proper time directions, we observe perspective foreshortenings in time as well as in three spatial dimensions. In special relativity these perspective effects are reciprocal, precisely because they are only apparent, not actual, changes in size and duration. (In general relativity, discussed below, the actual rate of physical processes varies from place to place, and those differences are neither reciprocal nor illusory.)

None of these Lorentz effects are beyond geometric explanation or paradoxical.  The universe is unexpectedly strange to us in precisely the ways the Euclidean fourth dimension is strange to us; but that does hold many surprises. Euclidean 4-space is much more interesting than Euclidean 3-space, analogous to the way 3-space is much more interesting and deeply explanatory to us than it would be if we experienced it only as a 2-space with many folds and curves, as perhaps an ant does. 

The emergent properties of 4-space are hard for us to visualize because they lie so wholly beyond our physical experience, just as it was hard for our ancestors to imagine the earth as round like a ball. However, successive Euclidean spaces are dimensionally analogous, and so higher dimensional spaces can be anticipated and explored: that is Schläfli's great discovery. Moreover dimensional analogy itself, like everything else in nature, is an exact expression of intrinsic symmetries: that is Nother's great discovery.

=== General relativity is Galilean relativity in a general space of four orthogonal dimensions ===

...

== Dimensional relativity ==
Coxeter's kinetic law of &lt;math&gt;n&lt;/math&gt;-dimensional congruent Euclidean transformations may be called ''dimensional relativity'', since it captures the theories of special and general relativity entire, and has its roots in dimensional analogy.

Dimensional analogy is the exploration of [[w:Hermann_Grassmann#Mathematician|Hermann Grassmann's vector space principle]], in which space cannot be limited to any finite number of dimensions. The geometry of higher-dimensional space is accessable by reason of direct analogy, as [[w:Ludwig Schläfli|Ludwig Schläfli]] subsequently demonstrated.

By analogy to the surface of the earth, the bounding surface of a spherical region of &lt;math&gt;n&lt;/math&gt;-dimensional Euclidean space is an &lt;math&gt;(n-1)&lt;/math&gt;-sphere, a spherical space of one fewer dimensions than the &lt;math&gt;n&lt;/math&gt;-ball of Euclidean space it surrounds. In dimensional relativity the sky is not a ceiling, but an infinite regress of alternating spherical and Euclidean &lt;math&gt;n&lt;/math&gt;-spaces of increasing &lt;math&gt;n&lt;/math&gt;, accessible from each observer's point of view. By dimensional analogy, each observer looks up into their own reference frame's regress of concentric alternating &lt;math&gt;n&lt;/math&gt;-spaces. By the degree of dimensional analogy of which they are capable, some observers see deeper into &lt;math&gt;n&lt;/math&gt;-dimensional space than others.

== Polycentric spherical relativity ==

An intelligent observer equipped with the principle of relativity may perceive the universe from any inertial reference frame, not only from their own proper perspective. We see that every observer may properly view themself as stationary and the universe as an ''n''-sphere with themself at the center observing it, perceptually equidistant from all points on its surface, including their own physical location which is one of those surface points, distinguished to them but moving on the surface, and not the center of anything. 

This ''polycentric model'' of the universe is a further restatement of the principle of relativity. It is compatible with Galileo's relativity of uniformly moving objects in ordinary space, Einstein's special relativity of inertial reference frames in 4-dimensional spacetime, Einstein's general relativity of all reference frames in non-Euclidean spacetime, and Coxeter's dimensional relativity of orthogonal group actions in Euclidean and spherical spaces of any number of dimensions. 

It should be known as Thoreau's principle of ''spherical relativity'', since the first precise written statement of it appears in 1849: &quot;The universe is a sphere whose center is wherever there is intelligence.&quot;{{Sfn|Thoreau|1849|p=349|ps=; &quot;The universe is a sphere whose center is wherever there is intelligence.&quot; [Contemporaneous and independent of [[W:Ludwig Schlafli|Ludwig Schlafli]]'s pioneering work enumerating the complete set of regular polyschemes in any number of dimensions.]}}

== Revolutions ==

The original Copernican revolution in 1543 displaced the center of the universe from the center of the earth to a point farther away, the center of the sun, with the earth performing a ''revolution'' around the sun, and the stars remaining on a fixed 2-sphere around the sun instead of around the earth. But this led inevitably to the recognition that the sun must be a star itself, not equidistant from all the stars, and the center of but one of many spheres, no monotheistic center at all. 

In such fashion the Euclidean four-dimensional revolution, emerging three to five centuries later, initially lends itself to the big bang theory of a single origin of the whole universe, but leads inevitably to the recognition that all the galaxies need not be equidistant from a single origin in time, any more than all the stars lie in the same galaxy, equidistant from a single center in space. The expanding sphere of matter on the surface of which we find ourselves living is likely to be one of many 3-spheres expanding at velocity ''c'', with their big bang origins occurring at distinct times and places in the ''n''-dimensional universe. The most distant objects we see when we look up at night may, or may not, all have the same origin in space and time.

As recently as Copernicus we believed all the stars lay on a single 2-sphere embedded in Euclidean 3-space, with our sun at its center. During the enlightenment we dispersed those stars into an infinite Euclidean 3-space, and relinquished our privileged position at the center. Then Einstein showed us that our 3-space could not be Euclidean, that it must be a 3-manifold curved in every place in obedience to Newton's inverse-square law of gravity; and in a sense related to time, at least, it must be 4-dimensional. In this work we suggest a theory of ''n''-dimensional real space and how light travels in it, a theory which says we can see into four orthogonal dimensions of Euclidean space, and so when we look up at night we see cosmological objects distributed in at least four dimensions of space around us, rather than all located in our own local 3-space.

Looking still deeper and farther out, the universe viewed as a 4-sphere might, or might not, be expanding, and the most distant objects we see when we look up at night may, or may not, lie in our 4-dimensional hyperplane. Real space has ''n'' dimensions as [[w:Hermann_Grassmann|Grassmann]] and [[w:Schläfli|Schläfli]] showed, and we do not know how many dimensions the most distant objects we see may be distributed in. They need not all lie within the four spatial dimensions in which we now observe them, any more than they lie in the three dimensional hyperplane of local space in which we find everything residing in our solar system.

When we look up at the objects that surround us, we have no way of discerning how many dimensions beyond three the space we are looking into has. We know their distance from us only by virtue of how long it takes their light to reach us. We can measure their distribution around us in 4-space, but that is simply how we choose to measure them, not a finding of how they are actually distributed. Even if it is now evident that they do not all lie in the same 3-space, how many more dimensions than three are needed to contain them? We observe that our 4-ball galaxy is embedded in Euclidean ''n''-space as one of many 4-ball galaxies, each translating in a distinct direction through 4-space at velocity &lt;math&gt;c&lt;/math&gt;, on more or less divergent paths from each other. But only much closer observation will reveal evidence of whether everything we see lies in the same 4-space, or if it is distributed in five or more dimensions, and how it is moving there. 

To remain in agreement with the theory of relativity, the Euclidean four-dimensional viewpoint requires that all mass-carrying objects be in motion in some distinct direction through 4-space at the constant velocity &lt;math&gt;c&lt;/math&gt;, although the relative velocity between nearby objects is much smaller since they move on similar vectors, aimed away from a common origin point in the past. It is natural to expect that objects moving at constant velocity away from a common origin will be distributed roughly on the surface of an expanding 3-sphere. Although their paths away from their origin are not straight lines but various helical isoclines (screw displacements), nearby objects must be translating radially at the same velocity, since the objects in a system (such as our solar system or galaxy) do not separate rapidly over time but remain in orbital formation. Each system's screw displacement has ''two'' [[w:Completely_orthogonal|completely orthogonal]] components of motion in 4-space, an orbital rotation (such as the earth's around our sun) and a linear translation of the entire system at velocity &lt;math&gt;c&lt;/math&gt; in the direction of the original 3-sphere's radial expansion (along the system's proper time vector). Of course the view from our solar system does not suggest that each galaxy's own distinct 3-sphere is expanding at this great rate from its galactic center. The standard theory has been that the entire observable universe is expanding from a single big bang origin in time, with galaxies forming later. While the Euclidean four-dimensional viewpoint lends itself to that standard theory, it also supports theories which require no single origin point in space and time. 

These are the voyages of starship Earth, to boldly go where no one has gone before. We made the jump to lightspeed long ago, in whatever big bang our atoms emerged from, and have never slowed down since.

== Origins of the theory ==

Einstein himself may have been the first to imagine the universe as the three-dimensional surface of a four-dimensional Euclidean 3-sphere, in what was narrowly the first written articulation of the geometry of Euclidean 4-space relativity, contemporaneous with the teen-aged Coxeter's (quoted below).{{Efn|[[W:William Rowan Hamilton|Hamilton]]'s algebra '''H''' of [[W:Quaternions|quaternions]] contains the notion of a [[W:Three-dimensional sphere|three-dimensional sphere]] embedded in a four-dimensional space, but Hamilton did not conceive of the quaternions as the Cartesian 4-coordinates of a Euclidean 4-space, and did not describe our ordinary 3-space embedded in Euclidean 4-space.}} Einstein did this as a [[W:Gedankenexperiment|gedankenexperiment]] in the context of investigating whether his equations of general relativity predicted an infinite or a finite universe, in his 1921 Princeton lecture.&lt;ref&gt;{{Cite book|url=http://www.gutenberg.org/ebooks/36276|title=The Meaning of Relativity|last=Einstein|first=Albert|publisher=Princeton University Press|year=1923|isbn=|location=|pages=110-111}}&lt;/ref&gt; He invited us to imagine &quot;A spherical manifold of three dimensions, embedded in a Euclidean continuum of four dimensions&quot;, but he was careful to disclaim parenthetically that &quot;The aid of a fourth space dimension has naturally no significance except that of a mathematical artifice.&quot;

Informally, the Euclidean 4-dimensional theory of relativity may be given as a sort of reciprocal of that disclaimer of Einstein's: ''The Minkowski spacetime has naturally no significance except that of a mathematical artifice, as an aid to understanding how things will appear to an observer from their perspective; the foreshortenings, clock desynchronizations and other Lorentz transformations it predicts are proper calculations of actual perspective effects; but real space is a flat, Euclidean continuum of four orthogonal spatial dimensions, and in it the ordinary laws of a flat vector space hold (such as the Pythagorean theorem), and all sightline calculations work classically, so long as you consider all four spatial dimensions.''

The Euclidean theory of relativity differs from the special theory of relativity in ascribing to the physical universe a geometry of four or more orthogonal spatial dimensions, rather than the special theory's [[w:Minkowski spacetime|Minkowski spacetime]] geometry, in which three spatial dimensions and a time dimension comprise a unified spacetime of four dimensions. 

Anco and Maghadam found that &lt;small&gt;&lt;math&gt;SO(4)&lt;/math&gt;&lt;/small&gt; breaks to ... &lt;small&gt;&lt;math&gt;S^3&lt;/math&gt;&lt;/small&gt;... if the energy in the Kepler orbit is negative (an elliptical orbit), and to ... &lt;small&gt;&lt;math&gt;H^3&lt;/math&gt;&lt;/small&gt; ... Minkowski spacetime if the energy is positive (a hyperbolic orbit). Because the planets orbit on ellipses in our 3-space, Euclidean 4-space is the actual geometry of our physical universe, and Minkowski spacetime is an abstraction; the reciprocal of Einstein's disclaimer is the truer model. Of course spacetime remains a true and useful abstraction, although it must relinquish its privileged position of centrality as our exclusive conception of our place in space.

...origins of the Euclidean 4-space insight in the observations of Fock, Atkinson, Moser and others.

The invention of Euclidean geometry of more than three spatial dimensions preceded Einstein's theories by more than fifty years, when it was worked out originally by the Swiss mathematician [[w:Ludwig Schläfli|Ludwig Schläfli]] before 1853.{{Sfn|Coxeter|1973|loc=§7. Ordinary Polytopes in Higher Space; §7.x. Historical remarks|pp=141-144|ps=; &quot;Practically all the ideas in this chapter ... are due to Schläfli, who discovered them before 1853 — a time when Cayley, Grassmann and Möbius were the only other people who had ever conceived the possibility of geometry in more than three dimensions.&quot;}} Schläfli extended Euclid's geometry of one, two, and three dimensions in a direct way to four or more dimensions, generalizing the rules and terms of [[w:Euclidean geometry|Euclidean geometry]] to spaces of any number of dimensions. He coined the general term ''[[polyscheme]]'' to mean geometric forms of any number of dimensions, including two-dimensional [[w:polygon|polygons]], three-dimensional [[w:polyhedron|polyhedra]], four dimensional [[w:polychoron|polychora]], and so on, and in the process he found all of the [[w:Regular polytope|regular polyschemes]] that are possible in every dimension, including in particular the [[User:Dc.samizdat/Rotations#Sequence of regular 4-polytopes|six convex regular polychora]] which can be constructed in a Euclidean space of four dimensions (the set analogous to the five [[w:Platonic solid|Platonic solids]] the ancients found in three dimensional space). Thus Schläfli was the first to explore the fourth dimension, reveal its emergent geometric properties, and discover its astonishing regular objects. Because his work was only published posthumously in 1901, and remained almost completely unknown until Coxeter published [[w:Regular_Polytopes_(book)|Regular Polytopes]] in 1947, other researchers had more than fifty years to rediscover the regular polychora, and competing terms were coined; today [[w:Reinhold_Hoppe|Reinhold Hoppe]]'s word ''[[w:Polytope|polytope]]'' is the commonly used term for ''polyscheme.''{{Efn|[[w:Reinhold_Hoppe|Reinhold Hoppe]]'s German word ''polytop'' was introduced into English by [[W:Alicia Boole Stott|Alicia Boole Stott]], who like Hoppe and [[W:Thorold Gosset|Thorold Gosset]] rediscovered Schlafli's six regular convex 4-polytopes, with no knowledge of their prior discovery. Today Schläfli's original ''polyschem'', with its echo of ''schema'' as in the configurations of information structures, seems even more fitting in its generality than ''polytope'' -- perhaps analogously as information software (programming) is even more general than information hardware (computers).}} Because of this century-long lag in the dissemination of a scientific discovery, the regular 4-polytopes appear to have played no role at all, by any name, in the twentieth century discovery and evolution of the theories of relativity and quantum mechanics.{{Efn|One could argue that the higher-dimensional polytopes have barely influenced science or culture at all thus far. The physicist John Edward Huth's comprehensive deep dive through the history of cultural and scientific concepts of physical space, from ancient flatland models of the world through general relativity and quantum mechancs, shows exactly how we got to our present standard model of the universe, although it includes no mention of higher-dimensional Euclidean space.&lt;ref&gt;{{Cite book|last=Huth|first=John Edward|title=A Sense of Space: A local's guide to a flat earth, the edge of the cosmos, and other curious places|year=2025|publisher=University of Chicago Press}}&lt;/ref&gt;}}

== Boundaries ==

&lt;blockquote&gt;Ever since we discovered that Earth is round and turns like a mad-spinning top, we have understood that reality is not as it appears to us: every time we glimpse a new aspect of it, it is a deeply emotional experience. Another veil has fallen.&lt;ref&gt;{{Cite book|author=Carlo Rovelli|author-link=W:Carlo Rovelli|title=Seven Brief Lessons on Physics|publisher=Riverhead|year=2016|isbn=978-0399184413}}&lt;/ref&gt;&lt;/blockquote&gt;

Of course it is strange to consciously contemplate this world we inhabit, our planet, our solar system, our vast galaxy, as the merest film, a boundary no thicker in the places we inhabit than the diameter of an electron (though much thicker in some places we cannot inhabit, such as the interior of stars). But is not our unconscious traditional concept of the boundary of our world even stranger? Since the enlightenment we are accustomed to thinking that there is nothing beyond three dimensional space: no boundary, because there is nothing else to separate us from. But anyone who knows the [[polyscheme]]s Schläfli discovered knows that space can have any number of dimensions, and that there are fundamental objects and motions to be discovered in four dimensions that are even more various and interesting than those we can discover in three. The strange thing, when we think about it that way, is that there ''is'' a boundary between three and four dimensional space. ''Why'' can't we move (or apparently, see) in more than three dimensions? Why is our physical world apparently only three dimensional? Why would it have just ''three'' dimensions, and not four, or five, or the ''n'' dimensions that Schläfli mapped? ''What is the nature of the boundary which confines us to just three dimensions?'' 

We know that in Euclidean geometry the boundary between three and four dimensions is itself a spherical three dimensional space, so we should suspect that we are materially confined within such a curved boundary surface. Light need not be confined with us within our three dimensional boundary space. We would look directly through four dimensional space in our natural way, by receiving light signals that travelled through it to us on straight lines. In that case the reason we do not observe a fourth spatial dimension in our vicinity is that there are no nearby objects in it, just off our hyperplane in the wild. The nearest four-dimensional object we can see with our eyes is our sun, which lies equatorially in our own hyperplane, though it bulges out of it above and below. But when we look up at the heavens, every pinprick of light we observe is itself a four-dimensional object off our hyperplane, and they are distributed all around us in four-dimensional space through which we gaze. We are four-dimensionally sighted creatures, even though our bodies are three-dimensional objects, thin as an atom in the fourth dimension. But that should not perplex us: we can see into three dimensional space even though our retinas are two dimensional objects, thin as a photoreceptor cell.

Our unconscious provincial concept is that there is nothing else outside our three dimensional world: no boundary, because there is nothing else to separate us from. But Schläfli discovered something else: all the astonishing regular objects that exist in higher dimensions, which vastly extend our notions of the beauty and mystery of space itself, and the intrinsic spatial symmetries of our universe which geometry reveals. Space is more commodious than we thought it was, and permits previously unimagined motions and objects. So our provincial conception of our place in it now has the same kind of status as our idea that the sun rises in the east and passes overhead: it is mere appearance, not a true model and no longer a proper explanation. A boundary is an explanation, be it ever so thin. And would a boundary of ''no'' thickness, a mere abstraction with no physical power to separate, be a more suitable explanation? We must look for a physically powerful explanation in the geometry of space itself, which general relativity properly associates with the gravitational or inertial force.

&lt;blockquote&gt;The number of dimensions possessed by a figure is the number of straight lines each perpendicular to all the others which can be drawn on it. Thus a point has no dimensions, a straight line one, a plane surface two, and a solid three ....

In space as we now know it only three lines can be imagined perpendicular to each other. A fourth line, perpendicular to all the other three would be quite invisible and unimaginable to us. We ourselves and all the material things around us probably possess a fourth dimension, of which we are quite unaware. If not, from a four-dimensional point of view we are mere geometrical abstractions, like geometrical surfaces, lines, and points are to us. But this thickness in the fourth dimension must be exceedingly minute, if it exists at all. That is, we could only draw an exceedingly small line perpendicular to our three perpendicular lines, length, breadth and thickness, so small that no microscope could ever perceive it.

We can find out something about the conditions of the fourth and higher dimensions if they exist, without being certain that they do exist, by a process which I have termed &quot;Dimensional Analogy.&quot;&lt;ref&gt;{{Citation|title=Dimensional Analogy|last=Coxeter|first=Donald|date=February 1923|publisher=Coxeter Fonds, University of Toronto Archives|authorlink=W:Harold Scott MacDonald Coxeter|series=|postscript=|work=}}&lt;/ref&gt;&lt;/blockquote&gt;

I believe, but I cannot prove, that we live in real space, which is Schläfli's and Coxeter's Euclidean space of ''n'' analogous dimensions. As Grassmann showed first, space cannot be limited to any finite number of dimensions. There will always be higher dimensions to discover in imagination and then explore physically, each an astonishing new enlightenment.&lt;ref&gt;{{Cite book|first=T.S.|last=Eliot|title=Little Gidding|volume=Four Quartets|year=1943}}&lt;blockquote&gt;
:We shall not cease from exploration
:And the end of all our exploring
:Will be to arrive where we started
:And know the place for the first time.
:Through the unknown, remembered gate
:When the last of earth left to discover
:Is that which was the beginning;
:At the source of the longest river
:The voice of the hidden waterfall
:And the children in the apple-tree
:Not known, because not looked for
:But heard, half-heard, in the stillness
:Between two waves of the sea.
&lt;/blockquote&gt;&lt;/ref&gt;

Schläfli discovered every regular convex polytope that exists in any dimension, but that was only the beginning of the story of dimensional analogy, not its end or even the end of its beginning. This project is forever beginning anew. Coxeter showed us that Schläfli's Euclidean space is an expression of intrinsic symmetries, as Noether showed us all of physics is. Kappraff and Adamson discovered that even the sequences of humble regular polygons have fractal complexity, and Conway found that symmetry itself is chaotic, always reachable but forever beyond our complete grasp. We are on a Wilderness Project, just at its beginning, but already we observe a Euclidean space of four or more orthogonal spatial dimensions, in which all objects with mass move ceaselessly at the constant velocity &lt;math&gt;c&lt;/math&gt;, the universal rate at which everything moves, quantum events occur, and each of our proper times evolves. 

I believe these facts explain the experimentally verified theories of relativity and quantum mechanics, by revealing their unified polycentric geometry, the same way the facts about Copernicus's heliocentric solar system explained the observed motions of the planets, by revealing the geometry of gravity. But others will have to do the math, work out the physics, and perform experiments to prove or disprove all of this, because I don't have the mathematics; entirely unlike Coxeter and Einstein, I am illiterate in those languages.

&lt;blockquote&gt;
::::::BEECH

:Where my imaginary line
:Bends square in woods, an iron spine
:And pile of real rocks have been founded.
:And off this corner in the wild,
:Where these are driven in and piled,
:One tree, by being deeply wounded,
:Has been impressed as Witness Tree
:And made commit to memory
:My proof of being not unbounded.
:Thus truth's established and borne out,
:Though circumstanced with dark and doubt—
:Though by a world of doubt surrounded.

:::::::—''The Moodie Forester''&lt;ref&gt;{{Cite book|title=A Witness Tree|last=Frost|first=Robert|year=1942|series=The Poetry of Robert Frost|publisher=Holt, Rinehart and Winston|edition=1969|}}&lt;/ref&gt;
&lt;/blockquote&gt;

== Appendix: Sequence of regular 4-polytopes ==
{{Regular convex 4-polytopes|wiki=W:|columns=7}}

== ... ==
{{Efn|In a ''[[W:William Kingdon Clifford|Clifford]] displacement'', also known as an [[W:Rotations in 4-dimensional Euclidean space#Isoclinic rotations|isoclinic rotation]], all the Clifford parallel{{Efn|name=Clifford parallels}} invariant planes are displaced in four orthogonal directions (two completely orthogonal planes) at once: they are rotated by the same angle, and at the same time they are tilted ''sideways'' by that same angle. A [[W:Rotations in 4-dimensional Euclidean space#Isoclinic rotations|Clifford displacement]] is [[W:8-cell#Radial equilateral symmetry|4-dimensionally diagonal]].{{Efn|name=isoclinic 4-dimensional diagonal}} Every plane that is Clifford parallel to one of the completely orthogonal planes (including in this case an entire Clifford parallel bundle of 4 hexagons, but not all 16 hexagons) is invariant under the isoclinic rotation: all the points in the plane rotate in circles but remain in the plane, even as the whole plane tilts sideways. All 16 hexagons rotate by the same angle (though only 4 of them do so invariantly). All 16 hexagons are rotated by 60 degrees, and also displaced sideways by 60 degrees to a Clifford parallel hexagon. All of the other central polygons (e.g. squares) are also displaced to a Clifford parallel polygon 60 degrees away.|name=Clifford displacement}}

{{Efn|It is not difficult to visualize four hexagonal planes intersecting at 60 degrees to each other, even in three dimensions. Four hexagonal central planes intersect at 60 degrees in the [[W:cuboctahedron|cuboctahedron]]. Four of the 24-cell's 16 hexagonal central planes (lying in the same 3-dimensional hyperplane) intersect at each of the 24-cell's vertices exactly the way they do at the center of a cuboctahedron. But the ''edges'' around the vertex do not meet as the radii do at the center of a cuboctahedron; the 24-cell has 8 edges around each vertex, not 12, so its vertex figure is the cube, not the cuboctahedron. The 8 edges meet exactly the way 8 edges do at the apex of a canonical [[W:cubic pyramid]|cubic pyramid]].{{Efn|name=24-cell vertex figure}}|name=cuboctahedral hexagons}}

{{Efn|The long radius (center to vertex) of the 24-cell is equal to its edge length; thus its long diameter (vertex to opposite vertex) is 2 edge lengths. Only a few uniform polytopes have this property, including the four-dimensional 24-cell and [[W:Tesseract#Radial equilateral symmetry|tesseract]], the three-dimensional [[W:Cuboctahedron#Radial equilateral symmetry|cuboctahedron]], and the two-dimensional [[W:Hexagon#Regular hexagon|hexagon]]. (The cuboctahedron is the equatorial cross section of the 24-cell, and the hexagon is the equatorial cross section of the cuboctahedron.) '''Radially equilateral''' polytopes are those which can be constructed, with their long radii, from equilateral triangles which meet at the center of the polytope, each contributing two radii and an edge.|name=radially equilateral|group=}}

{{Efn|Eight {{sqrt|1}} edges converge in curved 3-dimensional space from the corners of the 24-cell's cubical vertex figure{{Efn|The [[W:vertex figure|vertex figure]] is the facet which is made by truncating a vertex; canonically, at the mid-edges incident to the vertex. But one can make similar vertex figures of different radii by truncating at any point along those edges, up to and including truncating at the adjacent vertices to make a ''full size'' vertex figure. Stillwell defines the vertex figure as &quot;the convex hull of the neighbouring vertices of a given vertex&quot;.{{Sfn|Stillwell|2001|p=17}} That is what serves the illustrative purpose here.|name=full size vertex figure}} and meet at its center (the vertex), where they form 4 straight lines which cross there. The 8 vertices of the cube are the eight nearest other vertices of the 24-cell. The straight lines are geodesics: two {{sqrt|1}}-length segments of an apparently straight line (in the 3-space of the 24-cell's curved surface) that is bent in the 4th dimension into a great circle hexagon (in 4-space). Imagined from inside this curved 3-space, the bends in the hexagons are invisible. From outside (if we could view the 24-cell in 4-space), the straight lines would be seen to bend in the 4th dimension at the cube centers, because the center is displaced outward in the 4th dimension, out of the hyperplane defined by the cube's vertices. Thus the vertex cube is actually a [[W:cubic pyramid|cubic pyramid]]. Unlike a cube, it seems to be radially equilateral (like the tesseract and the 24-cell itself): its &quot;radius&quot; equals its edge length.{{Efn|The vertex cubic pyramid is not actually radially equilateral,{{Efn|name=radially equilateral}} because the edges radiating from its apex are not actually its radii: the apex of the [[W:cubic pyramid|cubic pyramid]] is not actually its center, just one of its vertices.}}|name=24-cell vertex figure}}

{{Efn|The hexagons are inclined (tilted) at 60 degrees with respect to the unit radius coordinate system's orthogonal planes. Each hexagonal plane contains only ''one'' of the 4 coordinate system axes.{{Efn|Each great hexagon of the 24-cell contains one axis (one pair of antipodal vertices) belonging to each of the three inscribed 16-cells. The 24-cell contains three disjoint inscribed 16-cells, rotated 60° isoclinically{{Efn|name=isoclinic 4-dimensional diagonal}} with respect to each other (so their corresponding vertices are 120° {{=}} {{radic|3}} apart). A [[16-cell#Coordinates|16-cell is an orthonormal ''basis'']] for a 4-dimensional coordinate system, because its 8 vertices define the four orthogonal axes. In any choice of a vertex-up coordinate system (such as the unit radius coordinates used in this article), one of the three inscribed 16-cells is the basis for the coordinate system, and each hexagon has only ''one'' axis which is a coordinate system axis.|name=three basis 16-cells}} The hexagon consists of 3 pairs of opposite vertices (three 24-cell diameters): one opposite pair of ''integer'' coordinate vertices (one of the four coordinate axes), and two opposite pairs of ''half-integer'' coordinate vertices (not coordinate axes). For example:
{{indent|17}}({{spaces|2}}0,{{spaces|2}}0,{{spaces|2}}1,{{spaces|2}}0)
{{indent|5}}({{spaces|2}}&lt;small&gt;{{sfrac|1|2}}&lt;/small&gt;,–&lt;small&gt;{{sfrac|1|2}}&lt;/small&gt;,{{spaces|2}}&lt;small&gt;{{sfrac|1|2}}&lt;/small&gt;,–&lt;small&gt;{{sfrac|1|2}}&lt;/small&gt;){{spaces|3}}({{spaces|2}}&lt;small&gt;{{sfrac|1|2}}&lt;/small&gt;,{{spaces|2}}&lt;small&gt;{{sfrac|1|2}}&lt;/small&gt;,{{spaces|2}}&lt;small&gt;{{sfrac|1|2}}&lt;/small&gt;,{{spaces|2}}&lt;small&gt;{{sfrac|1|2}}&lt;/small&gt;)
{{indent|5}}(–&lt;small&gt;{{sfrac|1|2}}&lt;/small&gt;,–&lt;small&gt;{{sfrac|1|2}}&lt;/small&gt;,–&lt;small&gt;{{sfrac|1|2}}&lt;/small&gt;,–&lt;small&gt;{{sfrac|1|2}}&lt;/small&gt;){{spaces|3}}(–&lt;small&gt;{{sfrac|1|2}}&lt;/small&gt;,{{spaces|2}}&lt;small&gt;{{sfrac|1|2}}&lt;/small&gt;,–&lt;small&gt;{{sfrac|1|2}}&lt;/small&gt;,{{spaces|2}}&lt;small&gt;{{sfrac|1|2}}&lt;/small&gt;)
{{indent|17}}({{spaces|2}}0,{{spaces|2}}0,–1,{{spaces|2}}0)&lt;br&gt;
is a hexagon on the ''y'' axis. Unlike the {{sqrt|2}} squares, the hexagons are actually made of 24-cell edges, so they are visible features of the 24-cell.|name=non-orthogonal hexagons|group=}}

{{Efn|Visualize the three [[16-cell]]s inscribed in the 24-cell (left, right, and middle), and the rotation which takes them to each other. [[24-cell#Reciprocal constructions from 8-cell and 16-cell|The vertices of the middle 16-cell lie on the (w, x, y, z) coordinate axes]];{{Efn|name=six orthogonal planes of the Cartesian basis}} the other two are rotated 60° [[W:Rotations in 4-dimensional Euclidean space#Isoclinic rotations|isoclinically]] to its left and its right. The 24-vertex 24-cell is a compound of three 16-cells, whose three sets of 8 vertices are distributed around the 24-cell symmetrically; each vertex is surrounded by 8 others (in the 3-dimensional space of the 4-dimensional 24-cell's ''surface''), the way the vertices of a cube surround its center.{{Efn|name=24-cell vertex figure}} The 8 surrounding vertices (the cube corners) lie in other 16-cells: 4 in the other 16-cell to the left, and 4 in the other 16-cell to the right. They are the vertices of two tetrahedra inscribed in the cube, one belonging (as a cell) to each 16-cell. If the 16-cell edges are {{radic|2}}, each vertex of the compound of three 16-cells is {{radic|1}} away from its 8 surrounding vertices in other 16-cells. Now visualize those {{radic|1}} distances as the edges of the 24-cell (while continuing to visualize the disjoint 16-cells). The {{radic|1}} edges form great hexagons of 6 vertices which run around the 24-cell in a central plane. ''Four'' hexagons cross at each vertex (and its antipodal vertex), inclined at 60° to each other.{{Efn|name=cuboctahedral hexagons}} The [[24-cell#Hexagons|hexagons]] are not perpendicular to each other, or to the 16-cells' perpendicular [[24-cell#Squares|square central planes]].{{Efn|name=non-orthogonal hexagons}} The left and right 16-cells form a tesseract.{{Efn|Each pair of the three 16-cells inscribed in the 24-cell forms a 4-dimensional [[W:tesseract|hypercube (a tesseract or 8-cell)]], in [[24-cell#Relationships among interior polytopes|dimensional analogy]] to the way two tetrahedra form a cube: the two 8-vertex 16-cells are inscribed in the 16-vertex tesseract, occupying its alternate vertices. The third 16-cell does not lie within the tesseract; its 8 vertices protrude from the sides of the tesseract, forming a cubic pyramid on each of the tesseract's cubic cells. The three pairs of 16-cells form three tesseracts.{{Efn|name=three 8-cells}} The tesseracts share vertices, but the 16-cells are completely disjoint.{{Efn|name=completely disjoint}}|name=three 16-cells form three tesseracts}} Two 16-cells have vertex-pairs which are one {{radic|1}} edge (one hexagon edge) apart. But a [[24-cell#Simple rotations|''simple'' rotation]] of 60° will not take one whole 16-cell to another 16-cell, because their vertices are 60° apart in different directions, and a simple rotation has only one hexagonal plane of rotation. One 16-cell ''can'' be taken to another 16-cell by a 60° [[24-cell#Isoclinic rotations|''isoclinic'' rotation]], because an isoclinic rotation is [[3-sphere]] symmetric: four [[24-cell#Clifford parallel polytopes|Clifford parallel hexagonal planes]] rotate together, but in four different rotational directions,{{Efn|name=Clifford displacement}} taking each 16-cell to another 16-cell. But since an isoclinic 60°  rotation is a ''diagonal'' rotation by 60° in ''two'' completely orthogonal directions at once,{{Efn|name=isoclinic geodesic}} the corresponding vertices of the 16-cell and the 16-cell it is taken to are 120° apart: ''two'' {{radic|1}} hexagon edges (or one {{radic|3}} hexagon chord) apart, not one {{radic|1}} edge (60°) apart as in a simple rotation.{{Efn|name=isoclinic 4-dimensional diagonal}} By the [[W:chiral|chiral]] diagonal nature of isoclinic rotations, the 16-cell ''cannot'' reach the adjacent 16-cell by rotating toward it; it can only reach the 16-cell ''beyond'' it. But of course, the 16-cell beyond the 16-cell to its right is the 16-cell to its left. So a 60° isoclinic  rotation ''will'' take every 16-cell to another 16-cell: a 60° ''right'' isoclinic rotation will take the middle 16-cell to the 16-cell we may have originally visualized as the ''left'' 16-cell, and a 60° ''left'' isoclinic rotation will take the middle 16-cell to the 16-cell we visualized as the ''right'' 16-cell. (If so, that was our error in visualization; the 16-cell to the &quot;left&quot; is in fact the one reached by the left isoclinic rotation, as that is the only sense in which the two 16-cells are left or right of each other.)|name=three isoclinic 16-cells}}

{{Efn|In a double rotation each vertex can be said to move along two completely orthogonal great circles at the same time, but it does not stay within the central plane of either of those original great circles; rather, it moves along a helical geodesic that traverses diagonally between great circles. The two completely orthogonal planes of rotation are said to be ''invariant'' because the points in each stay in the plane ''as the plane moves'', tilting sideways by the same angle that the other plane rotates.|name=helical geodesic}}

{{Efn|A point under isoclinic rotation traverses the diagonal{{Efn|name=isoclinic 4-dimensional diagonal}} straight line of a single '''isoclinic geodesic''', reaching its destination directly, instead of the bent line of two successive '''simple geodesics'''. A '''[[W:geodesic|geodesic]]''' is the ''shortest path'' through a space (intuitively, a string pulled taught between two points). Simple geodesics are great circles lying in a central plane (the only kind of geodesics that occur in 3-space on the 2-sphere). Isoclinic geodesics are different: they do ''not'' lie in a single plane; they are 4-dimensional [[W:helix|spirals]] rather than simple 2-dimensional circles.{{Efn|name=helical geodesic}} But they are not like 3-dimensional [[W:screw threads|screw threads]] either, because they form a closed loop like any circle (after ''two'' revolutions). Isoclinic geodesics are ''4-dimensional great circles'', and they are just as circular as 2-dimensional circles: in fact, twice as circular, because they curve in a circle in two completely orthogonal directions at once.{{Efn|Isoclinic geodesics are ''4-dimensional great circles'' in the sense that they are 1-dimensional geodesic ''lines'' that curve in 4-space in two completely orthogonal planes at once. They should not be confused with ''great 2-spheres'',{{Sfn|Stillwell|2001|p=24}} which are the 4-dimensional analogues of 2-dimensional great circles (great 1-spheres).}} These '''isoclines''' are geodesic 1-dimensional lines embedded in a 4-dimensional space. On the 3-sphere{{Efn|All isoclines are geodesics, and isoclines on the 3-sphere are circles (curving equally in each dimension), but not all isoclines on 3-manifolds in 4-space are circles.}} they always occur in [[W:chiral|chiral]] pairs and form a pair of [[W:Villarceau circle|Villarceau circle]]s on the [[W:Clifford torus|Clifford torus]],{{Efn|Isoclines on the 3-sphere occur in non-intersecting chiral pairs. A left and a right isocline form a [[W:Hopf link|Hopf link]] called the {1,1} torus knot{{Sfn|Dorst|2019|loc=§1. Villarceau Circles|p=44|ps=; &quot;In mathematics, the path that the (1, 1) knot on the torus traces is also
known as a [[W:Villarceau circle|Villarceau circle]]. Villarceau circles are usually introduced as two
intersecting circles that are the cross-section of a torus by a well-chosen plane
cutting it. Picking one such circle and rotating it around the torus
axis, the resulting family of circles can be used to rule the torus. By nesting
tori smartly, the collection of all such circles then form a [[W:Hopf fibration|Hopf fibration]].... we prefer to consider the Villarceau circle as the
(1, 1) torus knot [a [[W:Hopf link|Hopf link]]] rather than as a planar cut [two intersecting circles].&quot;}} in which ''each'' of the two linked circles traverses all four dimensions.}} the paths of the left and the right [[W:Rotations in 4-dimensional Euclidean space#Double rotations|isoclinic rotation]]. They are [[W:Helix|helices]] bent into a [[W:Möbius strip|Möbius loop]] in the fourth dimension, taking a diagonal [[W:Winding number|winding route]] twice around the 3-sphere through the non-adjacent vertices of a 4-polytope's [[W:Skew polygon#Regular skew polygons in four dimensions|skew polygon]].|name=isoclinic geodesic}}

{{Efn|[[File:Hopf band wikipedia.png|thumb|150px|Two [[W:Clifford parallel|Clifford parallel]] great circles spanned by a twisted [[W:Annulus (mathematics)|annulus]].]][[W:Clifford parallel|Clifford parallel]]s are non-intersecting curved lines that are parallel in the sense that the perpendicular (shortest) distance between them is the same at each point. A double helix is an example of Clifford parallelism in ordinary 3-dimensional Euclidean space. In 4-space Clifford parallels occur as geodesic great circles on the [[W:3-sphere|3-sphere]].{{Sfn|Kim|Rote|2016|pp=8-10|loc=Relations to Clifford Parallelism}} Whereas in 3-dimensional space, any two geodesic great circles on the [[W:2-sphere|2-sphere]] will always intersect at two antipodal points, in 4-dimensional space not all great circles intersect. In 4-polytopes various discrete sets of Clifford parallel non-intersecting geodesic great circles can be found on the 3-sphere. They spiral around each other in [[W:Hopf fibration|Hopf fiber bundles]] which visit all the vertices just once. The simplest example is that six mutually orthogonal great circles can be drawn on the 3-sphere, as three pairs of completely orthogonal great circles, intersecting at 8 points defining a [[16-cell]]. Each completely orthogonal pair of circles is Clifford parallel. They cannot intersect at all, because they lie in planes which intersect at only one point: the center of the 16-cell. Because they are perpendicular and share a common center, the two circles are obviously not parallel and separate in the usual way of parallel circles in 3 dimensions; rather they are connected like adjacent links in a chain, each passing through the other without intersecting at any points, forming a [[W:Hopf link|Hopf link]]|name=Clifford parallels}}

{{Efn|In the 24-cell each great square plane is completely orthogonal{{Efn|name=completely orthogonal planes}} to another great square plane, and each great hexagon plane is completely orthogonal to a plane which intersects only two vertices: a great [[W:digon|digon]] plane.|name=pairs of completely orthogonal planes}}

{{Efn|In an [[24-cell#Isoclinic rotations|isoclinic rotation]], each point anywhere in the 4-polytope moves an equal distance in four orthogonal directions at once, on a [[W:8-cell#Radial equilateral symmetry|4-dimensional diagonal]]. The point is displaced a total [[W:Pythagorean distance]] equal to the square root of four times the square of that distance. For example, when the unit-radius 24-cell rotates isoclinically 60° in a hexagon invariant plane and 60° in its completely orthogonal invariant plane,{{Efn|name=pairs of completely orthogonal planes}} all vertices are displaced to a vertex two edge lengths away. Each vertex is displaced to another vertex {{radic|3}} (120°) away, moving {{radic|3/4}} in four orthogonal coordinate directions.|name=isoclinic 4-dimensional diagonal}}

{{Efn|Each square plane is isoclinic (Clifford parallel) to five other square planes but completely orthogonal{{Efn|name=completely orthogonal planes}} to only one of them.{{Efn|name=Clifford parallel squares in the 16-cell and 24-cell}} Every pair of completely orthogonal planes has Clifford parallel great circles, but not all Clifford parallel great circles are orthogonal (e.g., none of the hexagonal geodesics in the 24-cell are mutually orthogonal).|name=only some Clifford parallels are orthogonal}}

{{Efn|In the [[16-cell#Rotations|16-cell]] the 6 orthogonal great squares form 3 pairs of completely orthogonal great circles; each pair is Clifford parallel. In the 24-cell, the 3 inscribed 16-cells lie rotated 60 degrees isoclinically{{Efn|name=isoclinic 4-dimensional diagonal}} with respect to each other; consequently their corresponding vertices are 120 degrees apart on a hexagonal great circle. Pairing their vertices which are 90 degrees apart reveals corresponding square great circles which are Clifford parallel. Each of the 18 square great circles is Clifford parallel not only to one other square great circle in the same 16-cell (the completely orthogonal one), but also to two square great circles (which are completely orthogonal to each other) in each of the other two 16-cells. (Completely orthogonal great circles are Clifford parallel, but not all Clifford parallels are orthogonal.{{Efn|name=only some Clifford parallels are orthogonal}}) A 60 degree isoclinic rotation of the 24-cell in hexagonal invariant planes takes each square great circle to a Clifford parallel (but non-orthogonal) square great circle in a different 16-cell.|name=Clifford parallel squares in the 16-cell and 24-cell}}

{{Efn|In 4 dimensional space we can construct 4 perpendicular axes and 6 perpendicular planes through a point. Without loss of generality, we may take these to be the axes and orthogonal central planes of a (w, x, y, z) Cartesian coordinate system. In 4 dimensions we have the same 3 orthogonal planes (xy, xz, yz) that we have in 3 dimensions, and also 3 others (wx, wy, wz). Each of the 6 orthogonal planes shares an axis with 4 of the others, and is ''completely orthogonal'' to just one of the others: the only one with which it does not share an axis. Thus there are 3 pairs of completely orthogonal planes: xy and wz intersect only at the origin; xz and wy intersect only at the origin; yz and wx intersect only at the origin.|name=six orthogonal planes of the Cartesian basis}}

{{Efn|Two planes in 4-dimensional space can have four possible reciprocal positions: (1) they can coincide (be exactly the same plane); (2) they can be parallel (the only way they can fail to intersect at all); (3) they can intersect in a single line, as two non-parallel planes do in 3-dimensional space; or (4) '''they can intersect in a single point'''{{Efn|To visualize how two planes can intersect in a single point in a four dimensional space, consider the Euclidean space (w, x, y, z) and imagine that the w dimension represents time rather than a spatial dimension. The xy central plane (where w{{=}}0, z{{=}}0) shares no axis with the wz central plane (where x{{=}}0, y{{=}}0). The xy plane exists at only a single instant in time (w{{=}}0); the wz plane (and in particular the w axis) exists all the time. Thus their only moment and place of intersection is at the origin point (0,0,0,0).|name=how planes intersect at a single point}} (and they ''must'', if they are completely orthogonal).{{Efn|Two flat planes A and B of a Euclidean space of four dimensions are called ''completely orthogonal'' if and only if every line in A is orthogonal to every line in B. In that case the planes A and B intersect at a single point O, so that if a line in A intersects with a line in B, they intersect at O.{{Efn|name=six orthogonal planes of the Cartesian basis}}|name=completely orthogonal planes}}|name=how planes intersect}}

{{Efn|Polytopes are '''completely disjoint''' if all their ''element sets'' are disjoint: they do not share any vertices, edges, faces or cells. They may still overlap in space, sharing 4-content, volume, area, or lineage.|name=completely disjoint}}

{{Efn|If the [[W:Euclidean distance|Pythagorean distance]] between any two vertices is {{sqrt|1}}, their geodesic distance is 1; they may be two adjacent vertices (in the curved 3-space of the surface), or a vertex and the center (in 4-space). If their Pythagorean distance is {{sqrt|2}}, their geodesic distance is 2 (whether via 3-space or 4-space, because the path along the edges is the same straight line with one 90&lt;sup&gt;o&lt;/sup&gt; bend in it as the path through the center). If their Pythagorean distance is {{sqrt|3}}, their geodesic distance is still 2 (whether on a hexagonal great circle past one 60&lt;sup&gt;o&lt;/sup&gt; bend, or as a straight line with one 60&lt;sup&gt;o&lt;/sup&gt; bend in it through the center). Finally, if their Pythagorean distance is {{sqrt|4}}, their geodesic distance is still 2 in 4-space (straight through the center), but it reaches 3 in 3-space (by going halfway around a hexagonal great circle).|name=Geodesic distance}}

{{Efn|Two angles are required to fix the relative positions of two planes in 4-space.{{Sfn|Kim|Rote|2016|p=7|loc=§6 Angles between two Planes in 4-Space|ps=; &quot;In four (and higher) dimensions, we need two angles to fix the relative position between two planes. (More generally, ''k'' angles are defined between ''k''-dimensional subspaces.)&quot;}} Since all planes in the same [[W:hyperplane|hyperplane]] are 0 degrees apart in one of the two angles, only one angle is required in 3-space. Great hexagons in different hyperplanes are 60 degrees apart in ''both'' angles. Great squares in different hyperplanes are 90 degrees apart in ''both'' angles (completely orthogonal){{Efn|name=completely orthogonal planes}} or 60 degrees apart in ''both'' angles.{{Efn||name=Clifford parallel squares in the 16-cell and 24-cell}} Planes which are separated by two equal angles are called ''isoclinic''. Planes which are isoclinic have [[W:Clifford parallel|Clifford parallel]] great circles.{{Efn|name=Clifford parallels}} A great square and a great hexagon in different hyperplanes are neither isoclinic nor Clifford parallel; they are separated by a 90 degree angle ''and'' a 60 degree angle.|name=two angles between central planes}}

{{Efn|The 24-cell contains 3 distinct 8-cells (tesseracts), rotated 60° isoclinically with respect to each other. The corresponding vertices of two 8-cells are {{radic|3}} (120°) apart. Each 8-cell contains 8 cubical cells, and each cube contains four {{radic|3}} chords (its long diagonals). The 8-cells are not completely disjoint{{Efn|name=completely disjoint}} (they share vertices), but each cube and each {{radic|3}} chord belongs to just one 8-cell. The {{radic|3}} chords joining the corresponding vertices of two 8-cells belong to the third 8-cell.|name=three 8-cells}}

{{Efn|Departing from any vertex V&lt;sub&gt;0&lt;/sub&gt; in the original great hexagon plane of isoclinic rotation P&lt;sub&gt;0&lt;/sub&gt;, the first vertex reached V&lt;sub&gt;1&lt;/sub&gt; is 120 degrees away along a {{radic|3}} chord lying in a different hexagonal plane P&lt;sub&gt;1&lt;/sub&gt;. P&lt;sub&gt;1&lt;/sub&gt; is inclined to P&lt;sub&gt;0&lt;/sub&gt; at a 60° angle.{{Efn|P&lt;sub&gt;0&lt;/sub&gt; and P&lt;sub&gt;1&lt;/sub&gt; lie in the same hyperplane (the same central cuboctahedron) so their other angle of separation is 0.{{Efn|name=two angles between central planes}}}} The second vertex reached V&lt;sub&gt;2&lt;/sub&gt; is 120 degrees beyond V&lt;sub&gt;1&lt;/sub&gt; along a second {{radic|3}} chord lying in another hexagonal plane P&lt;sub&gt;2&lt;/sub&gt; that is Clifford parallel to P&lt;sub&gt;0&lt;/sub&gt;.{{Efn|P&lt;sub&gt;0&lt;/sub&gt; and P&lt;sub&gt;2&lt;/sub&gt; are 60° apart in ''both'' angles of separation.{{Efn|name=two angles between central planes}} Clifford parallel planes are isoclinic (which means they are separated by two equal angles), and their corresponding vertices are all the same distance apart. Although V&lt;sub&gt;0&lt;/sub&gt; and V&lt;sub&gt;2&lt;/sub&gt; are ''two'' {{radic|3}} chords apart{{Efn|V&lt;sub&gt;0&lt;/sub&gt; and V&lt;sub&gt;2&lt;/sub&gt; are two {{radic|3}} chords apart on the geodesic path of this rotational isocline, but that is not the shortest geodesic path between them. In the 24-cell, it is impossible for two vertices to be more distant than ''one'' {{radic|3}} chord, unless they are antipodal vertices {{radic|4}} apart.{{Efn|name=Geodesic distance}} V&lt;sub&gt;0&lt;/sub&gt; and V&lt;sub&gt;2&lt;/sub&gt; are ''one'' {{radic|3}} chord apart on some other isocline. More generally, isoclines are geodesics because the distance between their ''adjacent'' vertices is the shortest distance between those two vertices, but a path between two vertices along a geodesic is not always the shortest distance between them (even on ordinary great circle geodesics).}}, P&lt;sub&gt;0&lt;/sub&gt; and P&lt;sub&gt;2&lt;/sub&gt; are just one {{radic|1}} edge apart (at every pair of ''nearest'' vertices).}} (Notice that V&lt;sub&gt;1&lt;/sub&gt; lies in both intersecting planes P&lt;sub&gt;1&lt;/sub&gt; and P&lt;sub&gt;2&lt;/sub&gt;, as V&lt;sub&gt;0&lt;/sub&gt; lies in both P&lt;sub&gt;0&lt;/sub&gt; and P&lt;sub&gt;1&lt;/sub&gt;. But P&lt;sub&gt;0&lt;/sub&gt; and P&lt;sub&gt;2&lt;/sub&gt; have ''no'' vertices in common; they do not intersect.) The third vertex reached V&lt;sub&gt;3&lt;/sub&gt; is 120 degrees beyond V&lt;sub&gt;2&lt;/sub&gt; along a third {{radic|3}} chord lying in another hexagonal plane P&lt;sub&gt;3&lt;/sub&gt; that is Clifford parallel to P&lt;sub&gt;1&lt;/sub&gt;. The three {{radic|3}} chords lie in different 8-cells.{{Efn|name=three 8-cells}} V&lt;sub&gt;0&lt;/sub&gt; to V&lt;sub&gt;3&lt;/sub&gt; is a 360° isoclinic rotation.|name=360 degree geodesic path visiting 3 hexagonal planes}}

{{Sfn|Mamone, Pileio &amp; Levitt|2010|loc=§4.5 Regular Convex 4-Polytopes|pp=1438-1439|ps=; the 24-cell has 1152 symmetry operations (rotations and reflections) as enumerated in Table 2, symmetry group 𝐹&lt;sub&gt;4&lt;/sub&gt;.}}

==Notes==
{{Regular convex 4-polytopes Notelist|wiki=W:}}

==Citations==
{{Regular convex 4-polytopes Reflist|wiki=W:}}

==References==
{{Refbegin}}
* {{Cite book|title=A Week on the Concord and Merrimack Rivers|last=Thoreau|first=Henry David|author-link=W:Thoreau|publisher=James Munroe and Company|year=1849|isbn=|location=Boston|ref={{SfnRef|Thoreau|1849}}}}
* {{Cite journal|title=Theoretical Evidence for Principles of Special Relativity Based on Isotropic and Uniform Four-Dimensional Space|first=Takuya|last=Yamashita|date=25 May 2023|doi= 10.20944/preprints202305.1785.v1|journal=Preprints|volume=2023|issue=2023051785|url=https://doi.org/10.20944/preprints202305.1785.v1}}
* {{Cite_arXiv | arxiv=2512.02903v2 | date=2 January 2026 | title=Symmetry transformation group arising from the Laplace–Runge–Lenz vector | first1=Stephen C. | last1=Anco | first2=Mahdieh Gol Bashmani | last2=Moghadam | class=math-ph}}

=== [[Polyscheme|Polyschemes]] ===
{{Regular convex 4-polytopes Refs|wiki=W:}}
{{Refend}}</text>
      <sha1>jz30r7xq19lrv6nr2750yv2uxrkdgbn</sha1>
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    <revision>
      <id>2804002</id>
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      <timestamp>2026-04-10T00:03:09Z</timestamp>
      <contributor>
        <username>Dc.samizdat</username>
        <id>2856930</id>
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      <comment>/* A theory of the Euclidean atom */quote Sebastion Junger</comment>
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      <text bytes="122336" sha1="jb3kn85by8axzoh2bdoxu34kgvvevvm" xml:space="preserve">= Real Euclidean four-dimensional space R⁴ =
{{align|center|David Brooks Christie}}
{{align|center|dc@samizdat.org}}
{{align|center|Draft in progress}}
{{align|center|June 2023 - March 2026}}

&lt;blockquote&gt;'''Abstract:''' The physical universe is properly visualized as a Euclidean space of four orthogonal spatial dimensions. Space itself has a fourth orthogonal dimension, of which we are unaware in ordinary life. Atoms are 4-polytopes, small round 4-dimensional objects, and stars are 4-balls of atomic plasma, large round 4-dimensional objects. We ourselves and our planet are only 3-dimensional objects, but nonetheless we can see in four dimensions of space. We have been unaware that when we look up at night we see stars and galaxies, themselves large 4-dimensional objects, distributed all around us in 4-dimensional Euclidean space, and moving through it, like us, at the constant velocity &lt;math&gt;c&lt;/math&gt;. Light from them reaches us directly, on straight lines through 4-space. This view of the observed universe is compatible with special and general relativity, and with quantum mechanics. It furnishes those theories with an explanatory geometric model.&lt;/blockquote&gt;

== Summary ==
We observe that physical space has four perpendicular dimensions, not just three; atoms are [[W:4-polytope|4-polytopes]]; the sun is a 4-ball that is round in four dimensions; everything of intermediate size between an atom and a star, including us and our planet, lies in a 3-dimensional manifold of ordinary space; and our entire 3-space manifold is translating through Euclidean 4-space at the speed of light, in a direction perpendicular to its three interior dimensions.

== A theory of the Euclidean cosmos ==
The physical universe is properly visualized as a [[w:Four-dimensional_space|Euclidean space of four orthogonal spatial dimensions]]. Space itself has a fourth orthogonal dimension, of which we are unaware in ordinary life. Atoms are [[w:4-polytope|4-polytopes]], small round 4-dimensional objects, and stars are 4-balls of atomic plasma, large round 4-dimensional objects. Objects intermediate in size between atoms and stars, including molecules, people, and planets, are so flat as to be essentially 3-dimensional, having only the thickness of an atom in the orthogonal fourth dimension. 

All objects with mass move through Euclidean 4-space at velocity &lt;math&gt;c&lt;/math&gt; as long as they exist, and acceleration only varies their direction. Objects moving in the same direction are in the same inertial reference frame. Their direction of motion through 4-space at velocity &lt;math&gt;c&lt;/math&gt; is their proper time dimension, simply because their direction and velocity of motion through time is the same as their direction and velocity of motion through space.

A typical spiral galaxy such as ours is a 4-ball of mostly empty space, with stars and other objects distributed non-uniformly within it. The galaxy's orbital center may be nothing: a smaller 4-ball of empty space they surround. The stars in our galaxy appear from our viewpoint to be distributed in a cloud of elliptical spirals  occupying a flattened ellipsoid region of 3-dimensional space, but they are not so confined: they are distributed within a spherical region of 4-dimensional space. The galaxy's actual shape is spherical, not a flattened ellipsoid, but it is rounder than round can be in our ordinary experience: it occupies a hyperspherical region of space. The concentric spirals of stars that we observe lie in concentric [[W:3-sphere|3-sphere]]s (4-dimensional spheres), not in concentric 2-ellipsoids (3-dimensional elliptical spirals). Our sun and solar system lies in one of those concentric 3-spheres.

...rotating illustration of the 4-ball galaxy showimg its spirals of star clouds on the surface of concentric 3-spheres...obtained by reverse sterographic projection from 3D images of the galaxy...

The galaxy as a whole, or more properly its orbital center point, is translating through 4-space at velocity &lt;math&gt;c&lt;/math&gt;, in a distinct direction orthogonal to all three dimensions of our ordinary proper 3-space. Stars within the galaxy are translating with it at the same velocity &lt;math&gt;c&lt;/math&gt; in the same direction, but on spiral trajectories relative to the galaxy's linear trajectory, as they pursue their various orbits within the galaxy. The spherical galaxy as a whole occupies a 4-ball within its proper inertial reference frame (that is, in the moving frame of reference in which the galaxy considers itself to be a stationary rotating 4-ball). Over time, the galaxy occupies a 4-dimensional cylinder and progresses along the cylinder's axis at velocity &lt;math&gt;c&lt;/math&gt;. In this more universal inertial reference frame, the stars in the galaxy follow helical geodesic paths through the cylinder; their trajectories are screw-displacements. 

The gravitational force and the inertial tendency to follow a geodesic are the same phenomenon, by the equivalence principle. That said, they can be distinguished, and the galaxy is held together primarily by gravity as inertia, not by gravity as attraction to a central mass toward which objects fall in orbit. There is not enough mass in the galaxy to hold it together by attraction, there is just enough to bend the stars' trajectories toward each other, in helical orbits around a barycentric axis. It is the tremendous inertial force of stars in motion at velocity &lt;math&gt;c&lt;/math&gt; that holds the cylinder of motion together. 

The observed universe as a whole appears to be a 3-sphere expanding radially from a central origin point at velocity &lt;math&gt;c&lt;/math&gt;, the invariant velocity of mass-carrying objects through 4-space, also the propagation speed of light relative to any moving 3-space manifold, as measured by all observers. For all observers, the conjectured origin point of the universe corresponds not only to a now-distant point in their proper time past, it also corresponds to a distinct now-distant point in 4-dimensional space (the same point in the same Euclidean 4-space for all observers). The big bang had a distinct origin point in real space as well as in real time. More generally, time and Euclidean 4-space can be measured separately, just as time and Euclidean 3-space were measured classically, without the necessity to combine them as spacetime. 

The same inertial force which holds the galactic cylinder of motion together also confines us physically to an exceedingly thin three-dimensional surface manifold moving through 4-space at velocity &lt;math&gt;c&lt;/math&gt;. All objects in our solar system except the sun itself lie within this thinest three-dimensional manifold. That is why we are 3-dimensional objects ourselves, and why we cannot construct more than three perpendiculars through a single point in our local 3-dimensional space.   

The enclosing surface of a spherical region of 4-space is itself a finite, curved (non-Euclidean) 3-dimensional space called a [[w:3-sphere|3-sphere]]. We live within such a 3-space, in an infinitesimally curved 3-manifold surface embedded in Euclidean 4-space. That surface is the ordinary 3-dimensional space we experience, and it contains the earth, all the planets and the 3-dimensional space between them. Our solar system is only a small patch on the surface of a dimensionally rounder space, although that surface is not infinite. It is curved, and finite, analogous to the way the 2-dimensional surface of the earth -- once thought to be flat -- is curved and finite. Our particular 3-sphere is one of the galaxy's concentric 3-spheres of spiral star-clouds. The solar system occupies a tiny patch of this filmy 4-dimensional soap-bubble of galactic size, that is thicker-skinned than the diameter of an atom only in the interior of stars and supermassive objects.  

Our entire 3-sphere manifold, as a spherical shell within the moving galaxy, is translating through 4-space at velocity &lt;math&gt;c&lt;/math&gt; with the galaxy in a distinct direction that is orthogonal to the manifold's three orthogonal dimensions of interior space. At every material point in the manifold (at every atom), the galaxy's translation is following a geometric law of motion discovered by Coxeter that governs the propagation of rotating objects through space by screw translation. The solar system's atoms of mass are 4-polytopes that are simultaneously rotating and translating, and as they advance together they define a moving 3-dimensional manifold by their own inertia, also called gravity, the property of matter's ceaseless propagation through 4-space at the constant velocity &lt;math&gt;c&lt;/math&gt;, the universal rate of causality at which quantum events occur, all objects move, and the universe evolves. 

Any moving 3-dimensional manifold that is such an evolving surface boundary is empty in most places, occupied by single atoms in comparatively fewer places, and occupied by bound complexes of multiple atoms (molecules) in still fewer places. In all these places it is no thicker than one atom in the dimension corresponding to its direction of translation, because molecules are 3-dimensional complexes of atoms that add no thickness to the manifold. Every object which we find occurring naturally in the solar system other than the sun itself, even the largest of 3-dimensional objects a planet, is a three-dimensional smear of atoms no thicker than one atom in its fourth dimension, which is the direction of movement through 4-space at velocity &lt;math&gt;c&lt;/math&gt; of the solar system's 3-manifold container, which is one of the galaxy's concentric 3-sphere shells.

The moving surface manifold cannot be thicker than one atom at any point unless and until there is enough mass near that point for the force of gravity as attraction to overcome the force of gravity as inertia, allowing atoms to be &quot;heaped up&quot; into larger 4-dimensional objects that form a lump in its moving surface. We have little understanding of such 4-dimensional lumps thicker than one atom, since they occur naturally in our vicinity only in the interior of the sun. In fact the sun is the only such lump occurring naturally in our solar system. We refer to 4-dimensional lumps of matter as plasma, and have little experimental knowledge of their geometry or structure. We know that such a lump as the sun burns at its surface 3-sphere and emits radiation, and we know a good deal about those surface processes which are nuclear atomic processes, but we know nothing about its interior 4-ball.

Every such 3-dimensional surface boundary of matter in the observed universe is moving and evolving in four dimensions at velocity &lt;math&gt;c&lt;/math&gt;. Its current location in 4-space corresponds to the present moment in the proper time of its inertial reference frame. Its direction of movement at velocity &lt;math&gt;c&lt;/math&gt; corresponds to its proper time dimension, which is a spiral over time, not a Euclidean (straight-line) dimension, since its direction is changing in its orbit. Objects with mass of all sizes, from atoms to the largest objects observed in the cosmos, are perpetually in inertial rotational motion in some orbit, and simultaneously in inertial translational motion propagating themselves through 4-space, two orthogonal motions each at the constant universal rate of transformation &lt;math&gt;c&lt;/math&gt;. Every object moves on its own distinct geodesic spiral.  

Objects without mass such as photons lie off such surface boundaries of matter from which they were emitted, and their motion is of a different nature. They are in motion at velocity &lt;math&gt;c&lt;/math&gt; in all four dimensions concurrently, so they move diagonally through 4-space on straight lines at a compound velocity. The propagation speed of light measured on a straight line through Euclidean 4-space is &lt;math&gt;c^\prime = 2c&lt;/math&gt;, so we can see in 4 dimensions, even though we are physically confined to a moving 3-dimensional manifold. For example, we can look across the center of our mostly-empty 4-ball galaxy and see stars in the opposite sides of its concentric 3-sphere surfaces. We have been unaware that when we look up at night we see stars and galaxies, themselves large 4-dimensional objects, distributed all around us in 4-dimensional Euclidean space, and moving through it, like us, at the constant velocity &lt;math&gt;c&lt;/math&gt; in the 4-space direction corresponding to their proper time, which is perpendicular to all three dimensions of their proper space. Light from them reaches us directly, propagating on straight lines through 4-space at twice the velocity at which they, and we ourselves, are propagating through 4-space. 

This physical model of the observed universe is compatible with the theories of special and general relativity, and with the atomic theory of quantum mechanics. It explains those theories geometrically, as expressions of intrinsic symmetries in Euclidean space.

== Symmetries ==

It is common to speak of nature as a web, and so it is, the great web of our physical experiences. Every web must have its root systems somewhere, and nature in this sense must be rooted in the symmetries which underlie physics and geometry, the [[W:Group (mathematics)|mathematics of groups]].{{Sfn|Conway, Burgiel &amp; Goodman-Strauss|2008}}

As I understand [[W:Noether's theorem|Noether's theorem]] (which is not mathematically), hers is the deepest meta-theory of nature yet, deeper than [[W:Theory of relativity|Einstein's relativity]] or [[W:Evolution|Darwin's evolution]] or [[W:Euclidean geometry|Euclid's geometry]]. It finds that all fundamental findings in physics are based on conservation laws which can be laid at the doors of distinct [[W:symmetry group |symmetry group]]s. Thus all fundamental systems in physics, as examples [[W:quantum chromodynamics|quantum chromodynamics]] (QCD) the theory of the strong force binding the atomic nucleus and [[W:quantum electrodynamics|quantum electrodynamics]] (QED) the theory of the electromagnetic force, each have a corresponding symmetry [[W:group theory|group theory]] of which they are an expression. 

[[W:Coxeter group|Coxeter's theory of symmetry groups]] generated by reflections did for geometry what Noether's theorem and Einstein's relativity did for physics. [[W:Coxeter|Coxeter]] showed that Euclidean geometry is based on conservation laws that correspond to distinct symmetry groups, and their group actions express the principle of relativity. Here is Coxeter's formulation of the motions of objects (congruent transformations) possible in an ''n''-dimensional Euclidean space, excerpted:{{Sfn|Coxeter|1973|pp=217-218|loc=§12.2 Congruent transformations}}
&lt;blockquote&gt;Let &lt;small&gt;&lt;math&gt;\mathrm{Q}&lt;/math&gt;&lt;/small&gt; denote a rotation, &lt;small&gt;&lt;math&gt;\mathrm{R}&lt;/math&gt;&lt;/small&gt; a reflection, &lt;small&gt;&lt;math&gt;\mathrm{T}&lt;/math&gt;&lt;/small&gt; a translation, and let &lt;small&gt;&lt;math&gt;\mathrm{Q}^q \mathrm{R}^r\mathrm{T}&lt;/math&gt;&lt;/small&gt; denote a product of several such transformations, all commutative with one another. Then &lt;small&gt;&lt;math&gt;\mathrm{RT}&lt;/math&gt;&lt;/small&gt; is a glide-reflection (in two or three dimensions), &lt;small&gt;&lt;math&gt;\mathrm{QR}&lt;/math&gt;&lt;/small&gt; is a rotary-reflection, &lt;small&gt;&lt;math&gt;\mathrm{QT}&lt;/math&gt;&lt;/small&gt; is a screw-displacement, and &lt;small&gt;&lt;math&gt;\mathrm{Q^2}&lt;/math&gt;&lt;/small&gt; is a double rotation (in four dimensions).&lt;br&gt;
Every orthogonal transformation is expressible as:&lt;br&gt;
:&lt;small&gt;&lt;math&gt;\mathrm{Q}^q \mathrm{R}^r&lt;/math&gt;&lt;/small&gt;&lt;br&gt;
where &lt;small&gt;&lt;math&gt;(2^q + r \le n)&lt;/math&gt;&lt;/small&gt;, the number of dimensions.&lt;br&gt;
Transformations involving a translation are expressible as:&lt;br&gt;
:&lt;small&gt;&lt;math&gt;\mathrm{Q}^q \mathrm{R}^r \mathrm{T}&lt;/math&gt;&lt;/small&gt;&lt;br&gt;
where &lt;small&gt;&lt;math&gt;(2^q + r + 1 \le n)&lt;/math&gt;&lt;/small&gt;.&lt;br&gt;
For &lt;small&gt;&lt;math&gt;(n = 4)&lt;/math&gt;&lt;/small&gt; in particular, every displacement is either a double rotation &lt;small&gt;&lt;math&gt;\mathrm{Q}^2&lt;/math&gt;&lt;/small&gt;, or a screw-displacement &lt;small&gt;&lt;math&gt;\mathrm{QT}&lt;/math&gt;&lt;/small&gt; [where the rotation component &lt;small&gt;&lt;math&gt;\mathrm{Q}&lt;/math&gt;&lt;/small&gt; is a simple rotation, but the &lt;small&gt;&lt;math&gt;\mathrm{QT}&lt;/math&gt;&lt;/small&gt; is chiral like a &lt;small&gt;&lt;math&gt;\mathrm{Q^2}&lt;/math&gt;&lt;/small&gt;]. Every enantiomorphous transformation in 4-space (reversing chirality) is a &lt;small&gt;&lt;math&gt;\mathrm{QRT}&lt;/math&gt;&lt;/small&gt;.&lt;/blockquote&gt;
If we begin with this most elemental [[w:Kinematics|kinematics]] of Coxeter's, and also assume the [[W:Galilean relativity|Galilean principle of relativity]], every displacement in 4-space can be viewed as either a &lt;small&gt;&lt;math&gt;\mathrm{Q^2}&lt;/math&gt;&lt;/small&gt; or a &lt;small&gt;&lt;math&gt;\mathrm{QT}&lt;/math&gt;&lt;/small&gt;, because we can view any &lt;small&gt;&lt;math&gt;\mathrm{QT}&lt;/math&gt;&lt;/small&gt; as a &lt;small&gt;&lt;math&gt;\mathrm{Q^2}&lt;/math&gt;&lt;/small&gt; in a linearly moving (translating) reference frame. Therefore any transformation from one inertial reference frame to another is expressable as a &lt;small&gt;&lt;math&gt;\mathrm{Q^2}&lt;/math&gt;&lt;/small&gt;. By the same principle, we can view any &lt;small&gt;&lt;math&gt;\mathrm{QT}&lt;/math&gt;&lt;/small&gt; or &lt;small&gt;&lt;math&gt;\mathrm{Q^2}&lt;/math&gt;&lt;/small&gt; as an isoclinic (equi-angled) &lt;small&gt;&lt;math&gt;\mathrm{Q^2}&lt;/math&gt;&lt;/small&gt; by proper choice of reference frame.{{Efn|[[W:Arthur Cayley|Cayley]] showed that any rotation in 4-space can be decomposed into two isoclinic rotations, which intuitively we might see follows from the fact that any transformation from one inertial reference frame to another is expressable as a [[W:SO(4)|rotation in 4-dimensional Euclidean space]].|name=Cayley's rotation factorization into two isoclinic reference frame transformations}} Coxeter's relation is thus a mathematical statement of the principle of relativity, on group-theoretic grounds. It correctly captures the limits to [[W:General relativity|general relativity]], in that we can only exchange the translation (&lt;small&gt;&lt;math&gt;\mathrm{T}&lt;/math&gt;&lt;/small&gt;) for ''one'' of the two rotations (&lt;small&gt;&lt;math&gt;\mathrm{Q}&lt;/math&gt;&lt;/small&gt;). An observer in any inertial reference frame can always measure the presence, direction and velocity of ''one'' rotation (&lt;small&gt;&lt;math&gt;\mathrm{Q}&lt;/math&gt;&lt;/small&gt;) up to uncertainty, and can always distinguish the direction of their own proper time translation (&lt;small&gt;&lt;math&gt;\mathrm{T}&lt;/math&gt;&lt;/small&gt;).

As I understand Coxeter theory (which is not mathematically), the symmetry groups underlying physics seem to have an expression in a [[W:Euclidean space|Euclidean space]] of four [[W:dimension|dimension]]s, that is, they are [[W:Euclidean geometry#Higher dimensions|four-dimensional Euclidean geometry]]. Therefore as I understand that geometry (which is entirely by synthetic methods rather than by Clifford's algebraic methods), the [[W:Atom|atom]] seems to have a distinct Euclidean geometry, such that atoms and their constituent particles are four-dimensional geometric objects (4-polytopes), and nature can be understood in terms of their [[W:group action|group actions]], including centrally their group &lt;small&gt;&lt;math&gt;SO(4)&lt;/math&gt;&lt;/small&gt; [[W:rotations in 4-dimensional Euclidean space|rotations in 4-dimensional Euclidean space]]. The distinct Coxeter symmetry groups have characteristic &lt;small&gt;&lt;math&gt;SO(4)&lt;/math&gt;&lt;/small&gt; rotational expressions as the [[W:Regular_4-polytope|regular 4-polytopes]]. Their discrete isoclinic rotations are distinguishing properties of fundamental objects in geometry, relativity and quantum mechanics. For example, we shall see that stationary atoms exhibit the &lt;small&gt;&lt;math&gt;SO(4)&lt;/math&gt;&lt;/small&gt; symmetries of the discrete isoclinic (equi-angled) double rotations (&lt;small&gt;&lt;math&gt;\mathrm{Q^2}&lt;/math&gt;&lt;/small&gt;) of a set of regular 4-polytopes that is characteristic of their [[w:Atomic_number|atomic number]].

== Special relativity describes Euclidean 4-space ==

&lt;blockquote&gt;Our entire model of the universe is built on symmetries. Some, like isotropy (the laws are the same in all directions), homogeneity (same in all places), and time invariance (same at all times) seem natural enough. Even relativity, the Lorentz Invariance that allows everyone to observe a constant speed of light, has an elegance to it that makes it seem natural.&lt;ref&gt;{{Cite book|first=Dave|last=Goldberg|title=The Universe in the Rearview Mirror: How Hidden Symmetries Shape Reality|chapter=§10. Hidden Symmetries: Why some symmetries but not others?|year=2013|publisher=Dutton Penguin Group|isbn=978-0-525-95366-1|ref={{SfnRef|Goldberg|2013}}}}&lt;/ref&gt;&lt;/blockquote&gt;

Although the Minkowski spacetime of relativity is a non-Euclidean 4-dimensional space,{{Efn|Spacetime is a non-Euclidean (curved) 4-dimensional &quot;space&quot; because it consists of three orthogonal space dimensions and a time dimension. The time dimension is not orthogonal to the three spatial dimensions; the time coordinate has the opposite sign to the three space coordinates so spacetime is hyperbolic, not a flat Euclidean 4-space at all.}} it has been noticed that its 3-dimensional space component could be modeled as a [[W:3-sphere|3-sphere]] embedded in 4-dimensional Euclidean (flat) space. That is, we could imagine that the ordinary 3-dimensional space we perceive is the curved 3-dimensional surface of a 4-dimensional ball (since the surface of a 4-ball is a curved 3-dimensional space called a 3-sphere, just as the surface of a 3-ball like the earth is a curved 2-dimensional space called a 2-sphere). This was first described by Einstein himself in 1921, as a thought experiment in which he carefully described his fourth orthogonal spatial dimension as merely a mathematical abstraction.

Subsequently it was noticed by others (not mainstream physicists) that if physical space were really embedded in Euclidean 4-dimensional space (with our 3-dimensional space embedded in 4-space as some 3-manifold, not necessarily a 3-sphere), then the Lorentz transformations of special relativity (spatial forshortenings and time dilations and so forth) could all be explained by ordinary perspective geometry in 4-dimensional Euclidean space. Special relativity reduces to classical geometry (based on the 4-dimensional version of the Pythagorean theorem), but if and only if every observer is moving through 4-space at a universal constant velocity ''c'', in some 4-space direction. 

This counter-intuitive alternative geometric model of relativity, which has usually been called [[W:Formulations of special relativity#Euclidean relativity|Euclidean relativity]], is motivated by the fact that in every kind of relativity, but originally in Einstein's special relativity, each observer moves on a vector through a four-dimensional space consisting of their three proper spatial dimensions and their proper time dimension, and the Pythagorean vector-sum of their motion through this kind of proper 4-space is always ''c'', as measured by all observers in any inertial reference frame. This is the Lorentz invariant, that allows everyone to observe a constant speed of light, regardless of their motion relative to the light source. But no physicists have taken the leap of claiming that therefore, our universe is physically [[W:Euclidean geometry#Higher dimensions|this kind of Euclidean 4-space]], and that observers are actually moving through it at velocity ''c''. In physics as it has been universally understood, observers are not supposed to be able to move at velocity ''c''. Their motion takes place in 3-space and in universal coordinate time (in Minkowski spacetime), and the cosmos is considered to be a non-Euclidean 3-space, generally a closed (finite) expanding 3-space, but with only three spatial dimensions, not four.

In the Euclidean relativity alternative view, however, every observer is always moving at velocity ''c'' through the universe, which is real Euclidean 4-dimensional space &lt;small&gt;&lt;math&gt;\mathbb{R^4}&lt;/math&gt;&lt;/small&gt;. The direction in which they are moving is called their proper time axis.{{Efn|Time in spacetime is universal coordinate time, but there is another kind of time in relativity, the proper time in each inertial reference frame. Your proper time is the time you experience, and every observer has his own proper time; proper time runs at different rates in different inertial reference frames. It runs slower (compared to universal coordinate time) in a gravitational field (according to general relativity), and observers in motion with respect to each other view each other's clocks as running slower than their own clocks (according to special relativity).}} Their movement in time is not just modelled as movement in an abstract fourth dimension (as it is in Minkowski spacetime), their movement in time is isomorphic to their movement through physical space in a distinct direction at velocity ''c''. Their direction of movement through space may be different for different observers (or not, if they happen to be going in the same direction). Your proper time dimension is whichever direction you are moving. The other three directions perpendicular to your proper time axis are the three dimensions of your proper space, which again, may be different directions for you than for other observers moving in a different direction.  There are four orthogonal spatial dimensions which we all share, but we share the same orthogonal proper time axis and proper space axes only if we are at rest with respect to each other, actually moving in the same direction at velocity ''c'', in the same inertial reference frame. Your proper 4-space is rotated with respect to another observer's proper 4-space, precisely as your vectors (directions of motion) are rotated in Euclidean 4-space with respect to each other.{{Efn|The angular divergence between two observer's motion vectors is proportional to their relative velocity: the more they diverge, the greater their relative velocity, up to the maximum divergence possible in the space. In Euclidean relativity all observers are in motion at velocity ''c'' relative to universal 4-coordinate space, so the maximum relative velocity between two observers is 2''c'' when they are moving in exactly opposite directions in 4-space. This is not a contradiction of special relativity, which limits the maximum relative velocity between two observers to ''c'', it is the same measurement in different units. Special relativity measures all velocities in a 3-space of Minkowski spacetime. Euclidean relativity measures all velocities in Euclidean 4-space.}}

So in this novel alternate view of relativity, every mass in the universe must be perpetually in motion at velocity ''c'' in Euclidean 4-space, along with all the masses in its vicinity that are going in (nearly) the same direction. The entire solar system, for example, must be translating in the fourth dimension at the &quot;speed of light&quot; ''c'', although we do not notice it, since we are all moving in that same direction together. Acceleration of an object varies its direction of motion through 4-space, but never its velocity, which is invariant for all objects with mass. Two objects which are in motion relative to each other are both actually in motion at the same velocity ''c'', but in at least slightly different directions. In Einstein's relativity, the invariant ''c'' is the speed of light through 3-space. In Euclidean relativity, the invariant ''c'' is the speed of matter through 4-space! The speed of light through 3-space is also perceived as ''c'' by all observers, because they are each living in a moving 3-manifold that is moving through 4-space at velocity ''c''. 

Despite their extreme differences in viewpoint, Einstein's relativity and Euclidean relativity are equivalent theories in complete agreement with each other, by definition. The two theories make exactly the same predictions about how observers in different reference frames will perceive each other's motions in time and space, and we shall see that they also agree on the predictions of general relativity. They both describe the same geometric relations of space and time, but they describe that geometry as embedded in two very different universal host spaces: Minkowski spacetime versus Euclidean 4-space.

...cite Lewis Epstein's elegant explanation of the Lorentz Invariance as observers moving at constant velocity &lt;math&gt;c&lt;/math&gt; through space and proper time

...cite Yamashita{{Sfn|Yamashita|2023}} on the equivalence of special relativity and Euclidean 4-space relativity

...cite Kappraff &amp; Adamson's 2003 paper on The Relationship of the Cotangent Function to Special Relativity Theory, geometry and properties of number,{{Sfn|Kappraff &amp; Adamson|2003|loc=Special Relativity Theory, Geometry and properties of number}} which shows how the Lorentz coefficient is a function of a deep geometric property of number{{Sfn|Kappraff &amp; Adamson|2000|loc=A Fresh Look at Number}} discovered by Steinbach,{{Sfn|Steinbach|1997|loc=Golden Fields: A Case for the Heptagon}} by means of which the root formula of geometry in any Euclidean dimension, the Pythagorean theorem, may be derived solely in terms of the addition of polygon side lengths, without recourse to their products or squares. More generally, Steinbach found that in the relations among regular polytope chords, to add is to multiply; every chord is both the product (quotient) of a pair of chords and the sum (difference) of another pair of chords.

Euclidean relativity is not even a fringe theory; no physicists have adopted it. There are many good reasons why the revolutionary leap to a four orthogonal spatial dimensions viewpoint has not been taken, beginning with the universally observed fact that we can only construct three perpendiculars through a point in our immediate space, which appears to be resolutely 3-dimensional, not 4-dimensional. Euclidean relativity offers a nice geometric explanation of the reasons for the Lorentz transformations, but only at the cost of raising other mysteries, which have been difficult for its aficionados to explain. Another mystery is how light signals between observers in relative motion could &quot;catch up&quot; with the receiver moving on a diverging path through 4-space from the emitter. If both observers are already moving at ''c'' (on diverging paths), the propagation speed of light through 4-space between them would have to be greater than ''c''. Euclidean relativity is a revolutionary theory indeed, in which ''c'' cannot possibly be the speed of light!

We conclude that, for a theory of Euclidean 4-space to be physically viable (that is, for it to be our real space and not merely an abstract mathematical space), the speed of light through Euclidean 4-space must be &lt;math&gt;c^\prime = 2c&lt;/math&gt;, with massless photons translating through 4-space at twice the speed of mass-carrying objects. Photons must translate the diagonal distance through 4-space along the long diameter of a unit 4-hypercube, in the same time that massive particles translate linearly along the edge of a unit 4-hypercube. This is conceivable in 4-space (and in no other Euclidean space of any dimensionality) because the diagonal of the unit 4-hypercube is the natural number &lt;small&gt;&lt;math&gt;\sqrt{4}&lt;/math&gt;&lt;/small&gt;.

== An object's motion in space is the product of its discrete self-reflections ==
Coxeter theory describes all the possible motions of an object in space as local functions of the object's discrete geometry (its shape). Coxeter observed that in a Euclidean space of any number of dimensions, any displacement of a geometric object from one place to another, and any rotation of the object from one orientation to another, can be broken down into the product of a small number of discrete self-reflections. Any action of a geometric object that transforms its position and orientation in space may be measured as a distinct group of self-reflections of the object in its own surfaces. Any motion of the object whatsoever may be precisely described as the object propagating itself through space by a discrete set of local self-reflections.

Coxeter found that both changes in position (translations) and changes in orientation (rotations) can be broken down into the simplest of all displacements (self-reflections). A translation occurs when an object self-reflects twice, in two distinct surfaces which are parallel to each other. A rotation also occurs when an object self-reflects twice, but in two distinct surfaces which touch (intersect each other). When a  object self-reflects once, it turns itself inside out (it reverses its chirality), but in translations and rotations it self-reflects twice, leaving itself right-side-out again.

Coxeter's laws of motion are a geometric counterpart to Newton's laws of motion in three dimensional Euclidean space. They are helpful because they can be understood as simple geometric pictures, by anyone baffled by algebraic formulas. But they are also a revolutionary advance beyond Newton's laws, because Coxeter formulated them in Euclidean spaces of any number of dimensions. For example, they give us simple geometric pictures of all the possible motions of objects in four dimensional Euclidean space:

&lt;blockquote&gt;Every orthogonal transformation in 4-space is expressible as:&lt;br&gt;
:&lt;small&gt;&lt;math&gt;\mathrm{Q}^q \mathrm{R}^r \mathrm{T}^t&lt;/math&gt;&lt;/small&gt;&lt;br&gt;
where &lt;small&gt;&lt;math&gt;(2^q + r + t \le 4)&lt;/math&gt;&lt;/small&gt;. Every displacement is either a double rotation &lt;small&gt;&lt;math&gt;\mathrm{Q}^2&lt;/math&gt;&lt;/small&gt;, or a screw-displacement &lt;small&gt;&lt;math&gt;\mathrm{QT}&lt;/math&gt;&lt;/small&gt; [where the rotation component &lt;small&gt;&lt;math&gt;\mathrm{Q}&lt;/math&gt;&lt;/small&gt; is a simple rotation, but the &lt;small&gt;&lt;math&gt;\mathrm{QT}&lt;/math&gt;&lt;/small&gt; is chiral like a &lt;small&gt;&lt;math&gt;\mathrm{Q^2}&lt;/math&gt;&lt;/small&gt;]. Every enantiomorphous transformation in 4-space (reversing chirality) is a &lt;small&gt;&lt;math&gt;\mathrm{QRT}&lt;/math&gt;&lt;/small&gt;.&lt;/blockquote&gt;

While this description may be understood as simple geometric pictures, some of the pictures may not be easy for us to visualize, since we have no physical experience in 4-dimensional space. &lt;small&gt;&lt;math&gt;\mathrm{R}, \mathrm{T}, \mathrm{Q}&lt;/math&gt;&lt;/small&gt; are just what they are in three-dimensional space, but &lt;small&gt;&lt;math&gt;\mathrm{Q}^2&lt;/math&gt;&lt;/small&gt; is something new and unprecedented in our physical experience, because double rotations do not occur until you have four or more dimensions of space to rotate in.

...to readers who have not studied Coxeter (almost all readers including TAC), the blockquote above is &quot;just math&quot;, not visualizable geometry...but I could describe Coxeter's congruent transformations in 4-space here geometrically: I could say clearly what they mean in spatial terms, in language anyone can understand, because they don't require any math to be understood; the &quot;math&quot; here is really just simple pictures (reflections and rotations); even double rotations can be visualized by dimensional analogy, as compounds of simple rotations...since even most physicists are unacquainted with Coxeter geometry, it really is important that I do this here...

== Light propagates through 4-space at twice its apparent velocity ''c''==
Coxeter's geometric laws of motion apply to all objects with mass in 4-dimensional Euclidean space, but we find there is an additional kind of displacement which applies only to massless particles such as photons. Light quanta (photons) translate through 4-space by 4-dimensional reflection &lt;small&gt;&lt;math&gt;\mathrm{R}^4&lt;/math&gt;&lt;/small&gt;, which may be termed a double translation &lt;small&gt;&lt;math&gt;\mathrm{T}^2&lt;/math&gt;&lt;/small&gt;, a pure translation via two pairs of parallel reflections, without any rotation component &lt;small&gt;&lt;math&gt;\mathrm{Q}&lt;/math&gt;&lt;/small&gt;.

Matter (atoms and all particles with mass) are perpetually rotating and translating through 4-space by &lt;small&gt;&lt;math&gt;\mathrm{QT}&lt;/math&gt;&lt;/small&gt;, a screw translation of a rotating object, which is relativistically equivalent to a stationary isoclinic &lt;small&gt;&lt;math&gt;\mathrm{Q^2}&lt;/math&gt;&lt;/small&gt;, an isoclinically rotating object such as an atom. A simple rotation &lt;small&gt;&lt;math&gt;\mathrm{Q}&lt;/math&gt;&lt;/small&gt; or simple translation &lt;small&gt;&lt;math&gt;\mathrm{T}&lt;/math&gt;&lt;/small&gt; is a double reflection &lt;small&gt;&lt;math&gt;\mathrm{R^2}&lt;/math&gt;&lt;/small&gt;, so a &lt;small&gt;&lt;math&gt;\mathrm{QT}&lt;/math&gt;&lt;/small&gt; or &lt;small&gt;&lt;math&gt;\mathrm{Q^2}&lt;/math&gt;&lt;/small&gt; is also an &lt;small&gt;&lt;math&gt;\mathrm{R^4}&lt;/math&gt;&lt;/small&gt;, but not with the same group of reflection angles as a light signal &lt;small&gt;&lt;math&gt;\mathrm{R^4}&lt;/math&gt;&lt;/small&gt;. A translation &lt;small&gt;&lt;math&gt;\mathrm{T = R^2}&lt;/math&gt;&lt;/small&gt; is a double reflection in two parallel planes, and a rotation &lt;small&gt;&lt;math&gt;\mathrm{Q = R^2}&lt;/math&gt;&lt;/small&gt; is a double reflection in two intersecting planes, as in a &lt;small&gt;&lt;math&gt;\mathrm{QT = R^4}&lt;/math&gt;&lt;/small&gt; which is both at once. A double translation &lt;small&gt;&lt;math&gt;\mathrm{T^2 = R^4}&lt;/math&gt;&lt;/small&gt; is two or more double reflections in pairs of parallel planes at once, a reflection in four or more non-intersecting parallel planes; it is all translation and no rotation. In a &lt;small&gt;&lt;math&gt;\mathrm{T^2}&lt;/math&gt;&lt;/small&gt; all the motion goes to translation, so the translation goes twice as far as the simple translation &lt;small&gt;&lt;math&gt;\mathrm{T}&lt;/math&gt;&lt;/small&gt; in a &lt;small&gt;&lt;math&gt;\mathrm{QT}&lt;/math&gt;&lt;/small&gt;. A double translation &lt;small&gt;&lt;math&gt;\mathrm{T^2 = R^4}&lt;/math&gt;&lt;/small&gt; is the opposite of a double rotation &lt;small&gt;&lt;math&gt;\mathrm{Q^2 = R^4}&lt;/math&gt;&lt;/small&gt;, which is stationary but rotates twice as fast as the simple rotation &lt;small&gt;&lt;math&gt;\mathrm{Q}&lt;/math&gt;&lt;/small&gt; in a &lt;small&gt;&lt;math&gt;\mathrm{QT}&lt;/math&gt;&lt;/small&gt;. 

The product of the two translations in a &lt;small&gt;&lt;math&gt;\mathrm{T^2}&lt;/math&gt;&lt;/small&gt; is a diagonal 4-space translation over the long diameter of the unit 4-hypercube, exactly twice the distance of a simple &lt;small&gt;&lt;math&gt;\mathrm{T}&lt;/math&gt;&lt;/small&gt; over the edge length (or radius) of the unit 4-hypercube.{{Efn|The 4-hypercube (also known as the 8-cell or tesseract) is ''radially equilateral'', which means its edge length is equal to its radius, like the hexagon. So its long diameter (twice its radius) is exactly twice its edge length.}} The photon moves an equal distance in four orthogonal directions. By the four-dimensional Pythagorean theorem, each of those four distances is half the total distance the photon moves: one edge length (one radius) is half the total diagonal distance moved (the long diameter). That total movement is a double-the-distance translation, but without any rotation component, so it cannot carry any mass with it. A &lt;small&gt;&lt;math&gt;\mathrm{T^2}&lt;/math&gt;&lt;/small&gt; cannot reposition a 4-polytope the way a &lt;small&gt;&lt;math&gt;\mathrm{QT}&lt;/math&gt;&lt;/small&gt; does, it can only reposition a quantum of energy that has no distinguishing rotational symmetry, such as a photon. That is the price light pays to move exactly twice as fast as matter.

...lensing of double translations &lt;small&gt;&lt;math&gt;\mathrm{T^2 = R^4}&lt;/math&gt;&lt;/small&gt; in more than two pairs of parallel planes at once...relationship to the frequency of light emitted and the coherence length of the wave packet...

== The Kepler problem is framed in Euclidean 4-space ==

The [[W:Kepler problem|Kepler problem]] is named for [[W:Johannes Kepler|Johannes Kepler]], the greatest geometer since the ancients up to [[w:Ludwig Schläfli|Ludwig Schläfli]], who proposed [[W:Kepler's laws of planetary motion|Kepler's laws of planetary motion]] which solved the problem of the orbits of the planets, and investigated the types of forces that would result in orbits obeying those laws. Those forces were later identified by [[W:Isaac Newton|Isaac Newton]] in his[[W:Philosophiæ Naturalis Principia Mathematica| Principia]], where he proves what today might be called the &quot;inverse Kepler problem&quot;: the orbit characteristics require the force to depend on the inverse square of the distance.&lt;ref&gt;{{Cite book|last=Feynman|first=Richard|title=Feynman's Lost Lecture: The Motion of Planets Around the Sun|date=1996|publisher=W. W. Norton &amp; Company|isbn=978-0393039184}}&lt;/ref&gt; 

The inverse square law behind the Kepler problem is the [[W:Central force|central force]] law which governs not only [[W:Newtonian gravity|Newtonian gravity]] and celestial orbits, but also the motion of two charged particles in [[W:Coulomb’s law|Coulomb’s law]] of [[W:Electrostatics|electrostatics]]; it applies to attractive or repulsive forces. Problems in which two bodies interact by a central force that varies as the [[W:Inverse square law|inverse square]] of the distance between them are called Kepler problems. Thus the [[W:Hydrogen atom|hydrogen atom]] is a Kepler problem, since it comprises two charged particles interacting by Coulomb's law, another inverse-square central force. 

Using classical mechanics, the solution to a Kepler problem can be expressed as a [[W:Kepler orbit|Kepler orbit]] using six kinematical variables or [[W:Orbital elements|orbital elements]]. The solution conserves an orbital element called the [[W:Laplace–Runge–Lenz vector|Laplace–Runge–Lenz (LRL) vector]], a [[W:Constant of motion|constant of motion]], meaning that it is the same no matter where it is calculated on the orbit. The LRL vector was essential in the first quantum mechanical derivation of the [[W:Atomic emission spectrum|spectrum]] of the hydrogen atom, but this approach has rarely been used since the development of the [[W:Schrödinger equation|Schrödinger equation]]. The conservation of the LRL vector corresponds to the &lt;small&gt;&lt;math&gt;SO(4)&lt;/math&gt;&lt;/small&gt; symmetry, by Nother's theorem. The LRL vector lies orthogonal to both the orbital plane and the angular momentum vector of the Kepler orbit, in a fourth orthogonal dimension. Fock in 1935&lt;ref&gt;V. Fock, Zur Theorie des Wasserstoffatoms, Zeitschrift für Physik. 98 (3-4) (1935), 145–154.&lt;/ref&gt; and Moser in 1970&lt;ref&gt;J. Moser, Regularization of Kepler’s problem and the averaging method on a manifold, Commun. Pure Appl. 23 (1970), 609–636&lt;/ref&gt; observed that the Kepler problem is mathematically equivalent to non-affine geodesic motion (a particle moving freely) on the surface of a 3-sphere, so that the whole problem is symmetric under certain rotations of the four-dimensional space. This higher-dimensional symmetry results in two well-known properties of the Kepler problem: the momentum vector always moves in a perfect circle and, for a given total energy, all such velocity circles intersect each other in the same two points. 

...

Relativity establishes that an orbit in space is viewed in a different way in each distinct inertial reference frame. Depending on the choice of reference frame, the same Kepler system may be seen to be performing any one of a sequence of relativistically equivalent rotations in 4-space, on a continuum from an isoclinic rotation (Q&lt;sup&gt;2&lt;/sup&gt;) in the orbit's proper reference frame, to a screw transfer (QT) with a simple rotation component (Q) and a translation component (T) at velocity &lt;math&gt;c&lt;/math&gt;, in the universal reference frame of 4-coordinate space wherein every object is seen to be translating at velocity &lt;math&gt;c&lt;/math&gt;. In reference frames between these two limit cases, the orbit is seen to be performing a double rotation (Q&lt;sup&gt;2&lt;/sup&gt;) at two unequal, completely orthogonal angular rates of rotation: an elliptical double rotation. These include the reference frames of most typical observers, who are moving slowly relative to the observed orbital system's reference frame (their relative motion is a small fraction of the speed of light). In these cases the non-isoclinic elliptical (Q&lt;sup&gt;2&lt;/sup&gt;) resembles a (QT), because one of its two completely orthogonal rotations (Q) has such a long period that it is almost indistinguishable from a straight translation (T).

All orbits in 4-space are isoclinic in their own reference frame. Orbiting objects in their own proper Kepler systems follow circular geodesic isoclines through 4-space. Orbits in 4-space are perfectly circular in their own reference frame, as Copernicus assumed the orbits of planets to be. It is the orbit's path through the 3-space of its elliptic hyperplane that is an ellipse, as Kepler found it to be.

The geodesic circle that an orbiting object follows through 4-space in the proper reference frame of its own Kepler system is not a simple great circle which turns in two orthogonal dimensions. It is a helical great circle that turns in four orthogonal dimensions at once.{{Efn|Geodesic orbits in 4-space are not simple 2-dimensional great circles; they are helical 4-dimensional great circles that curve in all four dimensions at once. Their circular trajectories are helixes which we call ''isoclines'', since they are the paths taken by points on a rigid object undergoing isoclinic rotation.}} Such circles lie outside our physical experience, since our local space has only three orthogonal dimensions. Nonetheless we can visualize them in imagination, because their helical, circular shape is perfectly well defined by the kinematical variables of the Kepler orbit. 

Moreover, the real physical correlates of abstract orthogonal planes and rotation angles are very familiar to us viscerally in our body-language of physical experience, and we are also endowed with highly evolved visual signal processing engines. These enable us to see and understand spatial relations and motions including rotations without even thinking about angles and orthogonal planes. This physical endowment amounts to an inborn capacity for dimensional analogy, since all our instinctive spatial reasoning is by dimensional analogy from flat 2-dimensional retinal images to 3-dimensional scenes, using our powerful instinctive  visualization capacities of reverse stereographic projection and pattern recognition. We humans are thus very well equipped with everything we need to see in four-dimensional space...

...cite Jesper Goransson's very concise paper

...

Recently Anco and Moghadam found that through Noether’s theorem in reverse, the LRL vector gives rise to a corresponding infinitesimal dynamical symmetry on the kinematical variables, which they show to be the semi-direct product of &lt;small&gt;&lt;math&gt;SO(3)&lt;/math&gt;&lt;/small&gt; and &lt;small&gt;&lt;math&gt;\mathbb{R^3}&lt;/math&gt;&lt;/small&gt;, in contrast to the &lt;small&gt;&lt;math&gt;SO(4)&lt;/math&gt;&lt;/small&gt; symmetry group generated by the LRL symmetries and the rotations.{{Sfn|Anco|Moghadam|2026|ps=; The physically relevant part of the LRL vector is its direction  ... since its magnitude is just a function of energy and angular momentum.}} This remarkable symmetry breaking is expressive of the ''dimensional relativity'' between ordinary 3-space &lt;small&gt;&lt;math&gt;\mathbb{R^3}&lt;/math&gt;&lt;/small&gt;, spherical space &lt;small&gt;&lt;math&gt;S^3&lt;/math&gt;&lt;/small&gt; and Euclidean space &lt;small&gt;&lt;math&gt;\mathbb{R^4}&lt;/math&gt;&lt;/small&gt;.

Consider a hydrogen atom in a Kepler orbit: for example, a hydrogen atom moving freely in space in an orbit around the sun. It is a ''double'' Kepler problem: an electrostatic Kepler problem within itself, and a gravitational Kepler problem in its environment. 

The ''single'' electrostatic Kepler problem of a hydrogen atom moving freely in space beyond any gravitational influence is a problem in special relativity. In our Euclidean 4-space model, this atom viewed as stationary in its own proper reference frame exhibits an &lt;small&gt;&lt;math&gt;SO(4)&lt;/math&gt;&lt;/small&gt; rotation symmetry corresponding to an isoclinic double rotation (&lt;small&gt;&lt;math&gt;\mathrm{Q^2}&lt;/math&gt;&lt;/small&gt;). The fourth dimension in this reference frame is the atom's proper time vector; it has constant velocity &lt;math&gt;c&lt;/math&gt; and constant direction. From the point of view of our universal 4-coordinate space (which cannot be the proper inertial reference frame of any physical observer, all of whom are moving relative to it at velocity ''c''), the entire Kepler system (the atom) is translating through 4-space via a screw translation (&lt;small&gt;&lt;math&gt;\mathrm{QT}&lt;/math&gt;&lt;/small&gt;) at constant velocity &lt;math&gt;c&lt;/math&gt;. From this viewpoint the atom has only a simple &lt;small&gt;&lt;math&gt;SO(3)&lt;/math&gt;&lt;/small&gt; rotation component (&lt;small&gt;&lt;math&gt;\mathrm{Q}&lt;/math&gt;&lt;/small&gt;), breaking its stationary &lt;small&gt;&lt;math&gt;SO(4)&lt;/math&gt;&lt;/small&gt; isoclinic rotation symmetry (&lt;small&gt;&lt;math&gt;\mathrm{Q^2}&lt;/math&gt;&lt;/small&gt;). Because each discrete part of the rotating atom moves along a helical trajectory through 4-space, the atom is in orbit around a barycentric axis (like a star in a galaxy), but only in a tiny orbit within its own radius, which is its inertial domain of rotation. The straight 4-dimensional cylinder it progresses along at velocity &lt;math&gt;c&lt;/math&gt; is very narrow: only the diameter of the rotating atom itself.

The gravitational Kepler problem of a hydrogen atom in a Kepler orbit around the sun is a problem in general relativity. In our 4-space model, this atom viewed in its own proper reference frame exhibits the same &lt;small&gt;&lt;math&gt;SO(4)&lt;/math&gt;&lt;/small&gt; rotation symmetry as it did in the electrostatic Kepler problem where the atom was translating linearly through space. The Kepler system in this case is not just the atom; it is the entire solar system. The LRL vector of this Kepler system is the proper time vector of the atom's inertial reference frame; once again it has constant velocity ''and constant direction''. Although the momentum vector moves in a perfect circle as the atom orbits the sun, the 4-space LRL vector does not move at all: it is a constant of motion, of linear motion (&lt;small&gt;&lt;math&gt;\mathrm{T}&lt;/math&gt;&lt;/small&gt;) of the Kepler system (the entire solar system in this case) in a constant 4-space direction, the proper time direction of the system. The direction of the system's proper time vector would vary under some kinds of acceleration of the atom, but it is constant under this kind of orbital acceleration. It continues to point in the same direction, like a 4-space compass needle, as the atom winds its way along its spiral path around the axis of the sun's straight-line translation through 4-space at velocity &lt;math&gt;c&lt;/math&gt;. This compass needle always points in the direction the sun is moving, not the direction the atom is moving at any instant.

...Its Kepler orbit around the sun is its &lt;small&gt;&lt;math&gt;SO(3)&lt;/math&gt;&lt;/small&gt; rotation component (&lt;small&gt;&lt;math&gt;\mathrm{Q}&lt;/math&gt;&lt;/small&gt;).

Although the atom is moving on a geodesic circle in the second problem, by the [[equivalence principle]] the difference in the state of the atomic systems in these two problems cannot be observed by examining the atoms alone. Even from another inertial reference frame, where the atom in the second problem is seen to be translating through 4-space via a wide screw translation (&lt;small&gt;&lt;math&gt;\mathrm{QT}&lt;/math&gt;&lt;/small&gt;) around the sun's axis of motion, there is still no difference between the two problems which can be detected by examining only the atoms within their own proper reference frames (even over time), because the LRL vector (&lt;small&gt;&lt;math&gt;\mathrm{T}&lt;/math&gt;&lt;/small&gt;) is a constant of motion of the entire system in both cases.

...Anco and Maghadam found that &lt;small&gt;&lt;math&gt;SO(4)&lt;/math&gt;&lt;/small&gt;) breaks to ... &lt;small&gt;&lt;math&gt;S^3&lt;/math&gt;&lt;/small&gt;)... if the energy in the Kepler orbit is negative (an elliptical orbit), and to ... &lt;small&gt;&lt;math&gt;H^3&lt;/math&gt;&lt;/small&gt;) ... Minkowski spacetime if the energy is positive (a hyperbolic orbit).

...

Finally we consider a third problem in which a hydrogen atom enters the solar system as a comet, loops around the sun and exits the solar system again. This atom...

...

As Hamilton found when he discovered the quaternions, we see that it is necessary to admit a fourth dimension to the system in order to properly model the problem: in Hamilton's case the general problem of ..., and in our case the Kepler problem. These are instances of the same problem in 4-dimensional Euclidean geometry, and indeed a solution to the Kepler problem in quaternions (the four Cartesian coordinates of Euclidean 4-space) is a solution to it in our model of the 4-coordinate Euclidean cosmos.

== Distribution of stars in our galaxy ==

The stars in our own galaxy appear to us to be a rotating spiral cluster in 3-dimensional space. By assuming that light from them reaches us on straight lines through space, by assuming that we can measure their distance from us by its red shift, and by assuming that they are distributed in three dimensions of space, we have plotted their locations in 3-space. If we abandon the last of those three assumptions, we can just as easily reinterpret that dataset to plot their distribution around us in 4-dimensional space, and see how they actually lie. 

When we perform this experiment on the data for the stars in our galaxy, do we indeed find that they are distributed non-uniformly in various concentric spirals, but the spirals lie on the surface of various 3-spheres, rather than in elliptical orbits as we saw them in 3-space? That would be an expected consequence of the special rotational symmetry group of 4-space &lt;small&gt;&lt;math&gt;SO(4)&lt;/math&gt;&lt;/small&gt;, in which circular (isoclinic) orbits are the geodesics (shortest rotational paths) rather than elliptical (non-equi-angled double rotation) orbits.

...have to perform this experiment somehow, at least as a conclusive thought experiment, before I publish this paper...

== Rotations ==
The [[W:Rotations in 4-dimensional Euclidean space#Isoclinic rotations|isoclinic rotations]] of the convex [[W:regular 4-polytope|regular 4-polytope]]s are usually described as discrete rotations of a rigid object. For example, the rigid [[24-cell]] can rotate in a [[24-cell#Great hexagons|hexagonal]] (6-vertex) central [[24-cell#Planes of rotation|plane of rotation]]. A 4-dimensional [[24-cell#Isoclinic rotations|''isoclinic'' rotation]] (as distinct from a [[24-cell#Simple rotations|''simple'' rotation]] like the ones that occur in 3-dimensional space) is a ''diagonal'' rotation in multiple [[W:Clifford parallel|Clifford parallel]] [[24-cell#Geodesics|central planes]] of rotation at once. It is diagonal because it is a [[W:SO(4)#Double rotations|double rotation]]: in addition to rotating in parallel (like wheels), the multiple planes of rotation also tilt sideways in the completely orthogonal plane of rotation (like coins flipping) into each other's planes. Consequently, the path taken by each vertex is a [[24-cell#Helical hexagrams and their isoclines|twisted helical circle]], rather than the ordinary flat great circle a vertex follows in a simple rotation. In a rigid 4-polytope rotating isoclinically, ''all'' the vertices lie in one of the parallel planes of rotation, so all the vertices move in parallel along Clifford parallel twisting circular paths. [[24-cell#Clifford parallel polytopes|Clifford parallel planes]] are not parallel in the normal sense of parallel planes in three dimensions; the vertices are all moving in different directions around the [[W:3-sphere|3-sphere]]. In one complete 360° isoclinic revolution, a rigid 4-polytope turns itself inside out.

This is sufficiently different from the simple rotations of rigid bodies in our 3-dimensional experience that a [[24-cell#Rotations|detailed description]] enabling the reader to properly visualize its counter-intuitive consequences runs to many pages and illustrations, with many accompanying pages of explanatory notes on surprising phenomena that arise in 4-dimensional space: [[24-cell#Great squares|completely orthogonal planes]], [[24-cell#Clifford parallel polytopes|Clifford parallelism]]{{Efn|name=Clifford parallels}} and [[W:Hopf fibration|Hopf fiber bundles]], [[24-cell#Isoclinic rotations|isoclinic geodesic paths]], and [[24-cell#Double rotations|chiral (mirror image) pairs of rotations]], among other complexities. Moreover, the characteristic rotations of the various regular 4-polytopes are all different; each is a unique surprise. [[User:Dc.samizdat/Rotations#Sequence of regular 4-polytopes|The 6 regular convex 4-polytopes]] have different numbers of vertices (5, 8, 16, 24, 120 and 600 respectively) and those with fewer vertices occur inscribed in those with more vertices (with one exception), with the result that the more complex 4-polytopes subsume the kinds of rotations characteristic of their less complex predecessors, as well as each having a characteristic kind of rotation not found in their predecessors. None of these symmetries is to be found in 3-dimensional space, although their simpler 3-dimensional analogues are all present there. [[W:Euclidean geometry#Higher dimensions|Four dimensional Euclidean space]] is more complicated (and more interesting) than three dimensional space because there is more room in it, in which unprecedented things can happen. It subsumes 3-dimensional space, with all of the symmetries we are accustomed to, and adds astonishing new surprises. These are hard for us to visualize, because the only way we can experience them is in our imagination; we have no body of sensory experience in 4-dimensional space to draw upon, other than our evolution in time.

For that reason (our difficulty in visualizing them), descriptions of isoclinic rotations usually begin and end with rigid rotations: [[24-cell#Isoclinic rotations|for example]], all 24 vertices of a single rigid 24-cell rotating in unison, with 6 vertices evenly spaced around each of 4 Clifford parallel twisted circles.{{Efn|name=360 degree geodesic path visiting 3 hexagonal planes}} But that is only the simplest case, which is easiest for us to understand. Compound and [[W:Kinematics|kinematic]] 24-cells (with moving parts) are even more interesting (and more complicated) than the rotation of a single rigid 24-cell. 

To begin with, when we examine the individual parts of a single rigid 24-cell that are moving in an isoclinic rotation, such as the orbits of individual vertices, we can imagine a case where fewer than 24 point-objects are orbiting on those twisted circular paths at once. [[24-cell#Reflections|For example]], if we imagine just 8 point-objects, evenly spaced around the 24-cell at [[24-cell#Reciprocal constructions from 8-cell and 16-cell|the 8 vertices that lie on the 4 coordinate axes]], and rotate them isoclinically along exactly the same orbits they would take in the above-mentioned rotation of a rigid 24-cell, then in the course of a single 360° rotation the 8 point-objects will trace out the whole 24-cell, with just one point-object reaching each of the 24 vertex positions just once, and no point-object colliding with (or even crossing the path of) any other at any time. This is an example of a discrete Hopf fibration. But it is still an example of a rigid object in a discrete isoclinic rotation: a rigid 8-vertex object (called the 4-[[W:orthoplex|orthoplex]] or [[16-cell]]) performing one half of the characteristic rotation of the 24-cell. 

We can also imagine ''combining'' distinct isoclinic rotations. What happens when multiple point-objects are orbiting at once, but do ''not'' all follow the Clifford parallel paths characteristic of the ''same'' distinct rigid rotation? What happens when we combine orbits from distinct rotations characteristic of different 4-polytopes, for example when different rigid 4-polytopes are concentric and rotating simultaneously in their characteristic ways? What kinds of such hybrid rotations are possible in the same 3-sphere shell without collisions? In adjacent concentric shells without asymmetric imbalance? What sort of [[Kinematics of the cuboctahedron|kinematic polytopes]] do they trace out, and how do their [[24-cell#Clifford parallel polytopes|component parts]] relate to each other as they move? Is there (sometimes) some kind of mutual stability amid their lack of combined rigidity? Visualizing isoclinic rotations (rigid and otherwise) allows us to explore such questions of [[W:kinematics|kinematics]], and where dynamic stabilities arise, of [[wikipedia:kinetics (physics)|kinetics]].

In four dimensions, we discover that space has more room in it than we have experienced, which permits previously unimagined motions. Even 3-space is more commodious than we thought; when it is curved and lies embedded in a higher-dimensional space, it permits previously impossible symmetric packings. Sadoc studied double-twisted 3-dimensional molecules, and imagined them embedded in 4-dimensional space as the Hopf fibrations of regular 4-polytopes. He found that these molecules would close-pack on the 3-sphere perfectly without exhibiting any torsion, although their packing in ordinary flat 3-space is imperfect, &quot;frustrated&quot; by their twisted geometry.
&lt;blockquote&gt;The frustration, which arises when the molecular orientation is transported along the two [spiral] AB paths of figure 1 [double twist helix], is imposed by the very topological nature of the Euclidean space R&lt;sup&gt;3&lt;/sup&gt;. It would not occur if the molecules were embedded in the non-Euclidean space of the [[W:3-sphere|3-sphere]] S&lt;sup&gt;3&lt;/sup&gt;, or hypersphere. This space with a homogeneous positive curvature can indeed be described by equidistant and uniformly twisted fibers, along which the molecules can be aligned without any conflict between compactness and [[W:torsion of a curve|torsion]].... The fibres of this [[W:Hopf fibration|Hopf fibration]] are great circles of S&lt;sup&gt;3&lt;/sup&gt;, the whole family of which is also called the [[W:Clifford parallel|Clifford parallel]]s.{{Efn|name=Clifford parallels}} Two of these fibers are C&lt;sub&gt;∞&lt;/sub&gt; symmetry axes for the whole fibration; each fibre makes one turn around each axis and regularly rotates when moving from one axis to another.{{Efn|name=helical geodesic}} These fibers build a double twist configuration while staying parallel, i.e. without any frustration, in the whole volume of S&lt;sup&gt;3&lt;/sup&gt;.{{Efn|name=Petrie polygon of a honeycomb}} They can therefore be used as models to study the condensation of long molecules in the presence of a double twist constraint.{{Sfn|Sadoc &amp; Charvolin|2009|loc=§1.2 The curved space approach|ps=; studies the helical orientation of molecules in crystal structures and their imperfect packings (&quot;frustrations&quot;) in 3-dimensional space.}}&lt;/blockquote&gt;

Of course we do not find molecules condensing to close-pack the 3-sphere in our experience, and Sadoc does not say that we do. We find 3-spheres in the atomic realm (if atoms are 4-polytopes), and in the cosmic realm (as the surface boundaries of stars, and the concentric surfaces of galaxies). But in between, in the realm of ordinary experience which includes the molecular realm, ourselves and all the objects we can materially handle or observe up close including the planets, we are confined together by gravity as inertia within a curved 3-dimensional space that is no more than one atom thick in the fourth spatial dimension. That is why in the molecular realm we find only objects that occupy 3-spaces which, though infinitesimally curved in the fourth dimension, are tiny patches on whole 3-spheres of galactic size. So Sadoc's exercise is a thought experiment, like Einstein's gedankenexperiments about railroad embankments and trains moving at nearly the speed of light. It is no less illuminating, despite the symmetry it reveals not having a realization as an actual 3-sphere of actual molecules. And might not something very like it have an actual realization in the atomic realm? 

We know that atoms have their own complex internal structure, which we are unable to model geometrically in ordinary 3-dimensional space. Suppose such a model is impossible because an atom is actually a 4-polytope occupying a tiny spherical region of 4-dimensional space, and so we only find its constituent particles in close-packed helical orbits on the 3-sphere, in the manner of Sadoc's imaginary twisted molecules, but as real 4-dimensional helices of atomic scale. We would expect to find the atomic orbit of a fundamental particle in some discrete Hopf fibration characteristic of a symmetry group, that is, on the maximally symmetric isoclines of a discrete isoclinic rotation characteristic of some regular 4-polytope and the particle.

== A theory of the Euclidean atom ==
&lt;blockquote&gt;Because quantum physics could be tested without being understood, it allowed humans to see how the universe worked without knowing why.&lt;ref&gt;Sebastian Junger, In My Time of Dying&lt;/ref&gt;&lt;/blockquote&gt;
...

== Light and Mass are Reflection and Rotation ==

The phenomena of light and mass are expressions of reflection symmetries and rotation symmetries, respectively.

...

Atoms are 4-polytopes, elementary objects with SO(4) rotational symmetry.

Light is ....

Motion in space is the propagation of the elementary objects of light and matter in Coxeter congruent transformations by kaleidoscopic self-reflections, like the motion of self-reproducing cellular automata in [[Conway's Game of Life|Conway's game of life]].

...

=== Atoms are 4-polytopes ===

...

== Relativity in real space of four or more orthogonal dimensions ==

Special relativity is Galilean relativity in a Euclidean space of four orthogonal dimensions.

General relativity is Galilean relativity in a general space of four or more orthogonal dimensions, e.g. in Euclidean 4-space &lt;math&gt;R^4&lt;/math&gt;, spherical 4-space &lt;math&gt;S^4&lt;/math&gt;, and any orthogonal 4-manifold.

Light is a consequence of symmetry group reflections at quantum scale. Gravity and the other fundamental forces are consequences of rotations, which are consequences of quantum reflections. Both kinds of motion are group actions, expressions of intrinsic symmetries. That is all of physics.

Every observer may properly see themself as stationary and the universe as an ''n''-sphere with themself at the center. The curvature of these spheres is a function of the rate at which causality evolves, and can be measured by the observer as the speed of light.

=== Special relativity is Galilean relativity in a Euclidean space of four orthogonal dimensions ===

...TAC suggests this section is needed sooner, i.e. in the preceding Special Relativity section, as it explains how Euclidean relativity reduces special relativity to 4D perspective geometry...it's misplaced (too late) here...

Perspective effects known as the Lorentz transformations occur because each observer's proper 3-dimensional space is a moving curved manifold embedded in flat 4-dimensional Euclidean space. The curvature of their 3-space complicates sightline calculations for observers; they sometimes require Lorentz transformations to produce the actual 4-space Cartesian coordinates of objects in the scene being observed. But if all four spatial dimensions are considered, no Lorentz transformations are required (or permitted) in correct scene construction, except when an observer wants to calculate a projection, that is, the shadow of how things will appear to them from a three-dimensional viewpoint (not how they really are).{{Sfn|Yamashita|2023}} Space really has four orthogonal dimensions, and space and time behave there just as they do in a classical vector space, only bigger by one dimension. 

It is not necessary to combine 4-space with time in a unified spacetime to explain 4-dimensional perspective effects at high relative velocities, because Euclidean 4-space is already 4-dimensional, and those effects fall out naturally from the 4-dimensional Pythagorean theorem, exactly as ordinary visual perspective does in three dimensions from the 3-dimensional Pythagorean theorem. Because one of the four spatial dimensions corresponds to an observer's direction of motion (in both space and proper time), and all observers and all scenes being observed are in motion (at constant velocity) in their respective proper time directions, we observe perspective foreshortenings in time as well as in three spatial dimensions. In special relativity these perspective effects are reciprocal, precisely because they are only apparent, not actual, changes in size and duration. (In general relativity, discussed below, the actual rate of physical processes varies from place to place, and those differences are neither reciprocal nor illusory.)

None of these Lorentz effects are beyond geometric explanation or paradoxical.  The universe is unexpectedly strange to us in precisely the ways the Euclidean fourth dimension is strange to us; but that does hold many surprises. Euclidean 4-space is much more interesting than Euclidean 3-space, analogous to the way 3-space is much more interesting and deeply explanatory to us than it would be if we experienced it only as a 2-space with many folds and curves, as perhaps an ant does. 

The emergent properties of 4-space are hard for us to visualize because they lie so wholly beyond our physical experience, just as it was hard for our ancestors to imagine the earth as round like a ball. However, successive Euclidean spaces are dimensionally analogous, and so higher dimensional spaces can be anticipated and explored: that is Schläfli's great discovery. Moreover dimensional analogy itself, like everything else in nature, is an exact expression of intrinsic symmetries: that is Nother's great discovery.

=== General relativity is Galilean relativity in a general space of four orthogonal dimensions ===

...

== Dimensional relativity ==
Coxeter's kinetic law of &lt;math&gt;n&lt;/math&gt;-dimensional congruent Euclidean transformations may be called ''dimensional relativity'', since it captures the theories of special and general relativity entire, and has its roots in dimensional analogy.

Dimensional analogy is the exploration of [[w:Hermann_Grassmann#Mathematician|Hermann Grassmann's vector space principle]], in which space cannot be limited to any finite number of dimensions. The geometry of higher-dimensional space is accessable by reason of direct analogy, as [[w:Ludwig Schläfli|Ludwig Schläfli]] subsequently demonstrated.

By analogy to the surface of the earth, the bounding surface of a spherical region of &lt;math&gt;n&lt;/math&gt;-dimensional Euclidean space is an &lt;math&gt;(n-1)&lt;/math&gt;-sphere, a spherical space of one fewer dimensions than the &lt;math&gt;n&lt;/math&gt;-ball of Euclidean space it surrounds. In dimensional relativity the sky is not a ceiling, but an infinite regress of alternating spherical and Euclidean &lt;math&gt;n&lt;/math&gt;-spaces of increasing &lt;math&gt;n&lt;/math&gt;, accessible from each observer's point of view. By dimensional analogy, each observer looks up into their own reference frame's regress of concentric alternating &lt;math&gt;n&lt;/math&gt;-spaces. By the degree of dimensional analogy of which they are capable, some observers see deeper into &lt;math&gt;n&lt;/math&gt;-dimensional space than others.

== Polycentric spherical relativity ==

An intelligent observer equipped with the principle of relativity may perceive the universe from any inertial reference frame, not only from their own proper perspective. We see that every observer may properly view themself as stationary and the universe as an ''n''-sphere with themself at the center observing it, perceptually equidistant from all points on its surface, including their own physical location which is one of those surface points, distinguished to them but moving on the surface, and not the center of anything. 

This ''polycentric model'' of the universe is a further restatement of the principle of relativity. It is compatible with Galileo's relativity of uniformly moving objects in ordinary space, Einstein's special relativity of inertial reference frames in 4-dimensional spacetime, Einstein's general relativity of all reference frames in non-Euclidean spacetime, and Coxeter's dimensional relativity of orthogonal group actions in Euclidean and spherical spaces of any number of dimensions. 

It should be known as Thoreau's principle of ''spherical relativity'', since the first precise written statement of it appears in 1849: &quot;The universe is a sphere whose center is wherever there is intelligence.&quot;{{Sfn|Thoreau|1849|p=349|ps=; &quot;The universe is a sphere whose center is wherever there is intelligence.&quot; [Contemporaneous and independent of [[W:Ludwig Schlafli|Ludwig Schlafli]]'s pioneering work enumerating the complete set of regular polyschemes in any number of dimensions.]}}

== Revolutions ==

The original Copernican revolution in 1543 displaced the center of the universe from the center of the earth to a point farther away, the center of the sun, with the earth performing a ''revolution'' around the sun, and the stars remaining on a fixed 2-sphere around the sun instead of around the earth. But this led inevitably to the recognition that the sun must be a star itself, not equidistant from all the stars, and the center of but one of many spheres, no monotheistic center at all. 

In such fashion the Euclidean four-dimensional revolution, emerging three to five centuries later, initially lends itself to the big bang theory of a single origin of the whole universe, but leads inevitably to the recognition that all the galaxies need not be equidistant from a single origin in time, any more than all the stars lie in the same galaxy, equidistant from a single center in space. The expanding sphere of matter on the surface of which we find ourselves living is likely to be one of many 3-spheres expanding at velocity ''c'', with their big bang origins occurring at distinct times and places in the ''n''-dimensional universe. The most distant objects we see when we look up at night may, or may not, all have the same origin in space and time.

As recently as Copernicus we believed all the stars lay on a single 2-sphere embedded in Euclidean 3-space, with our sun at its center. During the enlightenment we dispersed those stars into an infinite Euclidean 3-space, and relinquished our privileged position at the center. Then Einstein showed us that our 3-space could not be Euclidean, that it must be a 3-manifold curved in every place in obedience to Newton's inverse-square law of gravity; and in a sense related to time, at least, it must be 4-dimensional. In this work we suggest a theory of ''n''-dimensional real space and how light travels in it, a theory which says we can see into four orthogonal dimensions of Euclidean space, and so when we look up at night we see cosmological objects distributed in at least four dimensions of space around us, rather than all located in our own local 3-space.

Looking still deeper and farther out, the universe viewed as a 4-sphere might, or might not, be expanding, and the most distant objects we see when we look up at night may, or may not, lie in our 4-dimensional hyperplane. Real space has ''n'' dimensions as [[w:Hermann_Grassmann|Grassmann]] and [[w:Schläfli|Schläfli]] showed, and we do not know how many dimensions the most distant objects we see may be distributed in. They need not all lie within the four spatial dimensions in which we now observe them, any more than they lie in the three dimensional hyperplane of local space in which we find everything residing in our solar system.

When we look up at the objects that surround us, we have no way of discerning how many dimensions beyond three the space we are looking into has. We know their distance from us only by virtue of how long it takes their light to reach us. We can measure their distribution around us in 4-space, but that is simply how we choose to measure them, not a finding of how they are actually distributed. Even if it is now evident that they do not all lie in the same 3-space, how many more dimensions than three are needed to contain them? We observe that our 4-ball galaxy is embedded in Euclidean ''n''-space as one of many 4-ball galaxies, each translating in a distinct direction through 4-space at velocity &lt;math&gt;c&lt;/math&gt;, on more or less divergent paths from each other. But only much closer observation will reveal evidence of whether everything we see lies in the same 4-space, or if it is distributed in five or more dimensions, and how it is moving there. 

To remain in agreement with the theory of relativity, the Euclidean four-dimensional viewpoint requires that all mass-carrying objects be in motion in some distinct direction through 4-space at the constant velocity &lt;math&gt;c&lt;/math&gt;, although the relative velocity between nearby objects is much smaller since they move on similar vectors, aimed away from a common origin point in the past. It is natural to expect that objects moving at constant velocity away from a common origin will be distributed roughly on the surface of an expanding 3-sphere. Although their paths away from their origin are not straight lines but various helical isoclines (screw displacements), nearby objects must be translating radially at the same velocity, since the objects in a system (such as our solar system or galaxy) do not separate rapidly over time but remain in orbital formation. Each system's screw displacement has ''two'' [[w:Completely_orthogonal|completely orthogonal]] components of motion in 4-space, an orbital rotation (such as the earth's around our sun) and a linear translation of the entire system at velocity &lt;math&gt;c&lt;/math&gt; in the direction of the original 3-sphere's radial expansion (along the system's proper time vector). Of course the view from our solar system does not suggest that each galaxy's own distinct 3-sphere is expanding at this great rate from its galactic center. The standard theory has been that the entire observable universe is expanding from a single big bang origin in time, with galaxies forming later. While the Euclidean four-dimensional viewpoint lends itself to that standard theory, it also supports theories which require no single origin point in space and time. 

These are the voyages of starship Earth, to boldly go where no one has gone before. We made the jump to lightspeed long ago, in whatever big bang our atoms emerged from, and have never slowed down since.

== Origins of the theory ==

Einstein himself may have been the first to imagine the universe as the three-dimensional surface of a four-dimensional Euclidean 3-sphere, in what was narrowly the first written articulation of the geometry of Euclidean 4-space relativity, contemporaneous with the teen-aged Coxeter's (quoted below).{{Efn|[[W:William Rowan Hamilton|Hamilton]]'s algebra '''H''' of [[W:Quaternions|quaternions]] contains the notion of a [[W:Three-dimensional sphere|three-dimensional sphere]] embedded in a four-dimensional space, but Hamilton did not conceive of the quaternions as the Cartesian 4-coordinates of a Euclidean 4-space, and did not describe our ordinary 3-space embedded in Euclidean 4-space.}} Einstein did this as a [[W:Gedankenexperiment|gedankenexperiment]] in the context of investigating whether his equations of general relativity predicted an infinite or a finite universe, in his 1921 Princeton lecture.&lt;ref&gt;{{Cite book|url=http://www.gutenberg.org/ebooks/36276|title=The Meaning of Relativity|last=Einstein|first=Albert|publisher=Princeton University Press|year=1923|isbn=|location=|pages=110-111}}&lt;/ref&gt; He invited us to imagine &quot;A spherical manifold of three dimensions, embedded in a Euclidean continuum of four dimensions&quot;, but he was careful to disclaim parenthetically that &quot;The aid of a fourth space dimension has naturally no significance except that of a mathematical artifice.&quot;

Informally, the Euclidean 4-dimensional theory of relativity may be given as a sort of reciprocal of that disclaimer of Einstein's: ''The Minkowski spacetime has naturally no significance except that of a mathematical artifice, as an aid to understanding how things will appear to an observer from their perspective; the foreshortenings, clock desynchronizations and other Lorentz transformations it predicts are proper calculations of actual perspective effects; but real space is a flat, Euclidean continuum of four orthogonal spatial dimensions, and in it the ordinary laws of a flat vector space hold (such as the Pythagorean theorem), and all sightline calculations work classically, so long as you consider all four spatial dimensions.''

The Euclidean theory of relativity differs from the special theory of relativity in ascribing to the physical universe a geometry of four or more orthogonal spatial dimensions, rather than the special theory's [[w:Minkowski spacetime|Minkowski spacetime]] geometry, in which three spatial dimensions and a time dimension comprise a unified spacetime of four dimensions. 

Anco and Maghadam found that &lt;small&gt;&lt;math&gt;SO(4)&lt;/math&gt;&lt;/small&gt; breaks to ... &lt;small&gt;&lt;math&gt;S^3&lt;/math&gt;&lt;/small&gt;... if the energy in the Kepler orbit is negative (an elliptical orbit), and to ... &lt;small&gt;&lt;math&gt;H^3&lt;/math&gt;&lt;/small&gt; ... Minkowski spacetime if the energy is positive (a hyperbolic orbit). Because the planets orbit on ellipses in our 3-space, Euclidean 4-space is the actual geometry of our physical universe, and Minkowski spacetime is an abstraction; the reciprocal of Einstein's disclaimer is the truer model. Of course spacetime remains a true and useful abstraction, although it must relinquish its privileged position of centrality as our exclusive conception of our place in space.

...origins of the Euclidean 4-space insight in the observations of Fock, Atkinson, Moser and others.

The invention of Euclidean geometry of more than three spatial dimensions preceded Einstein's theories by more than fifty years, when it was worked out originally by the Swiss mathematician [[w:Ludwig Schläfli|Ludwig Schläfli]] before 1853.{{Sfn|Coxeter|1973|loc=§7. Ordinary Polytopes in Higher Space; §7.x. Historical remarks|pp=141-144|ps=; &quot;Practically all the ideas in this chapter ... are due to Schläfli, who discovered them before 1853 — a time when Cayley, Grassmann and Möbius were the only other people who had ever conceived the possibility of geometry in more than three dimensions.&quot;}} Schläfli extended Euclid's geometry of one, two, and three dimensions in a direct way to four or more dimensions, generalizing the rules and terms of [[w:Euclidean geometry|Euclidean geometry]] to spaces of any number of dimensions. He coined the general term ''[[polyscheme]]'' to mean geometric forms of any number of dimensions, including two-dimensional [[w:polygon|polygons]], three-dimensional [[w:polyhedron|polyhedra]], four dimensional [[w:polychoron|polychora]], and so on, and in the process he found all of the [[w:Regular polytope|regular polyschemes]] that are possible in every dimension, including in particular the [[User:Dc.samizdat/Rotations#Sequence of regular 4-polytopes|six convex regular polychora]] which can be constructed in a Euclidean space of four dimensions (the set analogous to the five [[w:Platonic solid|Platonic solids]] the ancients found in three dimensional space). Thus Schläfli was the first to explore the fourth dimension, reveal its emergent geometric properties, and discover its astonishing regular objects. Because his work was only published posthumously in 1901, and remained almost completely unknown until Coxeter published [[w:Regular_Polytopes_(book)|Regular Polytopes]] in 1947, other researchers had more than fifty years to rediscover the regular polychora, and competing terms were coined; today [[w:Reinhold_Hoppe|Reinhold Hoppe]]'s word ''[[w:Polytope|polytope]]'' is the commonly used term for ''polyscheme.''{{Efn|[[w:Reinhold_Hoppe|Reinhold Hoppe]]'s German word ''polytop'' was introduced into English by [[W:Alicia Boole Stott|Alicia Boole Stott]], who like Hoppe and [[W:Thorold Gosset|Thorold Gosset]] rediscovered Schlafli's six regular convex 4-polytopes, with no knowledge of their prior discovery. Today Schläfli's original ''polyschem'', with its echo of ''schema'' as in the configurations of information structures, seems even more fitting in its generality than ''polytope'' -- perhaps analogously as information software (programming) is even more general than information hardware (computers).}} Because of this century-long lag in the dissemination of a scientific discovery, the regular 4-polytopes appear to have played no role at all, by any name, in the twentieth century discovery and evolution of the theories of relativity and quantum mechanics.{{Efn|One could argue that the higher-dimensional polytopes have barely influenced science or culture at all thus far. The physicist John Edward Huth's comprehensive deep dive through the history of cultural and scientific concepts of physical space, from ancient flatland models of the world through general relativity and quantum mechancs, shows exactly how we got to our present standard model of the universe, although it includes no mention of higher-dimensional Euclidean space.&lt;ref&gt;{{Cite book|last=Huth|first=John Edward|title=A Sense of Space: A local's guide to a flat earth, the edge of the cosmos, and other curious places|year=2025|publisher=University of Chicago Press}}&lt;/ref&gt;}}

== Boundaries ==

&lt;blockquote&gt;Ever since we discovered that Earth is round and turns like a mad-spinning top, we have understood that reality is not as it appears to us: every time we glimpse a new aspect of it, it is a deeply emotional experience. Another veil has fallen.&lt;ref&gt;{{Cite book|author=Carlo Rovelli|author-link=W:Carlo Rovelli|title=Seven Brief Lessons on Physics|publisher=Riverhead|year=2016|isbn=978-0399184413}}&lt;/ref&gt;&lt;/blockquote&gt;

Of course it is strange to consciously contemplate this world we inhabit, our planet, our solar system, our vast galaxy, as the merest film, a boundary no thicker in the places we inhabit than the diameter of an electron (though much thicker in some places we cannot inhabit, such as the interior of stars). But is not our unconscious traditional concept of the boundary of our world even stranger? Since the enlightenment we are accustomed to thinking that there is nothing beyond three dimensional space: no boundary, because there is nothing else to separate us from. But anyone who knows the [[polyscheme]]s Schläfli discovered knows that space can have any number of dimensions, and that there are fundamental objects and motions to be discovered in four dimensions that are even more various and interesting than those we can discover in three. The strange thing, when we think about it that way, is that there ''is'' a boundary between three and four dimensional space. ''Why'' can't we move (or apparently, see) in more than three dimensions? Why is our physical world apparently only three dimensional? Why would it have just ''three'' dimensions, and not four, or five, or the ''n'' dimensions that Schläfli mapped? ''What is the nature of the boundary which confines us to just three dimensions?'' 

We know that in Euclidean geometry the boundary between three and four dimensions is itself a spherical three dimensional space, so we should suspect that we are materially confined within such a curved boundary surface. Light need not be confined with us within our three dimensional boundary space. We would look directly through four dimensional space in our natural way, by receiving light signals that travelled through it to us on straight lines. In that case the reason we do not observe a fourth spatial dimension in our vicinity is that there are no nearby objects in it, just off our hyperplane in the wild. The nearest four-dimensional object we can see with our eyes is our sun, which lies equatorially in our own hyperplane, though it bulges out of it above and below. But when we look up at the heavens, every pinprick of light we observe is itself a four-dimensional object off our hyperplane, and they are distributed all around us in four-dimensional space through which we gaze. We are four-dimensionally sighted creatures, even though our bodies are three-dimensional objects, thin as an atom in the fourth dimension. But that should not perplex us: we can see into three dimensional space even though our retinas are two dimensional objects, thin as a photoreceptor cell.

Our unconscious provincial concept is that there is nothing else outside our three dimensional world: no boundary, because there is nothing else to separate us from. But Schläfli discovered something else: all the astonishing regular objects that exist in higher dimensions, which vastly extend our notions of the beauty and mystery of space itself, and the intrinsic spatial symmetries of our universe which geometry reveals. Space is more commodious than we thought it was, and permits previously unimagined motions and objects. So our provincial conception of our place in it now has the same kind of status as our idea that the sun rises in the east and passes overhead: it is mere appearance, not a true model and no longer a proper explanation. A boundary is an explanation, be it ever so thin. And would a boundary of ''no'' thickness, a mere abstraction with no physical power to separate, be a more suitable explanation? We must look for a physically powerful explanation in the geometry of space itself, which general relativity properly associates with the gravitational or inertial force.

&lt;blockquote&gt;The number of dimensions possessed by a figure is the number of straight lines each perpendicular to all the others which can be drawn on it. Thus a point has no dimensions, a straight line one, a plane surface two, and a solid three ....

In space as we now know it only three lines can be imagined perpendicular to each other. A fourth line, perpendicular to all the other three would be quite invisible and unimaginable to us. We ourselves and all the material things around us probably possess a fourth dimension, of which we are quite unaware. If not, from a four-dimensional point of view we are mere geometrical abstractions, like geometrical surfaces, lines, and points are to us. But this thickness in the fourth dimension must be exceedingly minute, if it exists at all. That is, we could only draw an exceedingly small line perpendicular to our three perpendicular lines, length, breadth and thickness, so small that no microscope could ever perceive it.

We can find out something about the conditions of the fourth and higher dimensions if they exist, without being certain that they do exist, by a process which I have termed &quot;Dimensional Analogy.&quot;&lt;ref&gt;{{Citation|title=Dimensional Analogy|last=Coxeter|first=Donald|date=February 1923|publisher=Coxeter Fonds, University of Toronto Archives|authorlink=W:Harold Scott MacDonald Coxeter|series=|postscript=|work=}}&lt;/ref&gt;&lt;/blockquote&gt;

I believe, but I cannot prove, that we live in real space, which is Schläfli's and Coxeter's Euclidean space of ''n'' analogous dimensions. As Grassmann showed first, space cannot be limited to any finite number of dimensions. There will always be higher dimensions to discover in imagination and then explore physically, each an astonishing new enlightenment.&lt;ref&gt;{{Cite book|first=T.S.|last=Eliot|title=Little Gidding|volume=Four Quartets|year=1943}}&lt;blockquote&gt;
:We shall not cease from exploration
:And the end of all our exploring
:Will be to arrive where we started
:And know the place for the first time.
:Through the unknown, remembered gate
:When the last of earth left to discover
:Is that which was the beginning;
:At the source of the longest river
:The voice of the hidden waterfall
:And the children in the apple-tree
:Not known, because not looked for
:But heard, half-heard, in the stillness
:Between two waves of the sea.
&lt;/blockquote&gt;&lt;/ref&gt;

Schläfli discovered every regular convex polytope that exists in any dimension, but that was only the beginning of the story of dimensional analogy, not its end or even the end of its beginning. This project is forever beginning anew. Coxeter showed us that Schläfli's Euclidean space is an expression of intrinsic symmetries, as Noether showed us all of physics is. Kappraff and Adamson discovered that even the sequences of humble regular polygons have fractal complexity, and Conway found that symmetry itself is chaotic, always reachable but forever beyond our complete grasp. We are on a Wilderness Project, just at its beginning, but already we observe a Euclidean space of four or more orthogonal spatial dimensions, in which all objects with mass move ceaselessly at the constant velocity &lt;math&gt;c&lt;/math&gt;, the universal rate at which everything moves, quantum events occur, and each of our proper times evolves. 

I believe these facts explain the experimentally verified theories of relativity and quantum mechanics, by revealing their unified polycentric geometry, the same way the facts about Copernicus's heliocentric solar system explained the observed motions of the planets, by revealing the geometry of gravity. But others will have to do the math, work out the physics, and perform experiments to prove or disprove all of this, because I don't have the mathematics; entirely unlike Coxeter and Einstein, I am illiterate in those languages.

&lt;blockquote&gt;
::::::BEECH

:Where my imaginary line
:Bends square in woods, an iron spine
:And pile of real rocks have been founded.
:And off this corner in the wild,
:Where these are driven in and piled,
:One tree, by being deeply wounded,
:Has been impressed as Witness Tree
:And made commit to memory
:My proof of being not unbounded.
:Thus truth's established and borne out,
:Though circumstanced with dark and doubt—
:Though by a world of doubt surrounded.

:::::::—''The Moodie Forester''&lt;ref&gt;{{Cite book|title=A Witness Tree|last=Frost|first=Robert|year=1942|series=The Poetry of Robert Frost|publisher=Holt, Rinehart and Winston|edition=1969|}}&lt;/ref&gt;
&lt;/blockquote&gt;

== Appendix: Sequence of regular 4-polytopes ==
{{Regular convex 4-polytopes|wiki=W:|columns=7}}

== ... ==
{{Efn|In a ''[[W:William Kingdon Clifford|Clifford]] displacement'', also known as an [[W:Rotations in 4-dimensional Euclidean space#Isoclinic rotations|isoclinic rotation]], all the Clifford parallel{{Efn|name=Clifford parallels}} invariant planes are displaced in four orthogonal directions (two completely orthogonal planes) at once: they are rotated by the same angle, and at the same time they are tilted ''sideways'' by that same angle. A [[W:Rotations in 4-dimensional Euclidean space#Isoclinic rotations|Clifford displacement]] is [[W:8-cell#Radial equilateral symmetry|4-dimensionally diagonal]].{{Efn|name=isoclinic 4-dimensional diagonal}} Every plane that is Clifford parallel to one of the completely orthogonal planes (including in this case an entire Clifford parallel bundle of 4 hexagons, but not all 16 hexagons) is invariant under the isoclinic rotation: all the points in the plane rotate in circles but remain in the plane, even as the whole plane tilts sideways. All 16 hexagons rotate by the same angle (though only 4 of them do so invariantly). All 16 hexagons are rotated by 60 degrees, and also displaced sideways by 60 degrees to a Clifford parallel hexagon. All of the other central polygons (e.g. squares) are also displaced to a Clifford parallel polygon 60 degrees away.|name=Clifford displacement}}

{{Efn|It is not difficult to visualize four hexagonal planes intersecting at 60 degrees to each other, even in three dimensions. Four hexagonal central planes intersect at 60 degrees in the [[W:cuboctahedron|cuboctahedron]]. Four of the 24-cell's 16 hexagonal central planes (lying in the same 3-dimensional hyperplane) intersect at each of the 24-cell's vertices exactly the way they do at the center of a cuboctahedron. But the ''edges'' around the vertex do not meet as the radii do at the center of a cuboctahedron; the 24-cell has 8 edges around each vertex, not 12, so its vertex figure is the cube, not the cuboctahedron. The 8 edges meet exactly the way 8 edges do at the apex of a canonical [[W:cubic pyramid]|cubic pyramid]].{{Efn|name=24-cell vertex figure}}|name=cuboctahedral hexagons}}

{{Efn|The long radius (center to vertex) of the 24-cell is equal to its edge length; thus its long diameter (vertex to opposite vertex) is 2 edge lengths. Only a few uniform polytopes have this property, including the four-dimensional 24-cell and [[W:Tesseract#Radial equilateral symmetry|tesseract]], the three-dimensional [[W:Cuboctahedron#Radial equilateral symmetry|cuboctahedron]], and the two-dimensional [[W:Hexagon#Regular hexagon|hexagon]]. (The cuboctahedron is the equatorial cross section of the 24-cell, and the hexagon is the equatorial cross section of the cuboctahedron.) '''Radially equilateral''' polytopes are those which can be constructed, with their long radii, from equilateral triangles which meet at the center of the polytope, each contributing two radii and an edge.|name=radially equilateral|group=}}

{{Efn|Eight {{sqrt|1}} edges converge in curved 3-dimensional space from the corners of the 24-cell's cubical vertex figure{{Efn|The [[W:vertex figure|vertex figure]] is the facet which is made by truncating a vertex; canonically, at the mid-edges incident to the vertex. But one can make similar vertex figures of different radii by truncating at any point along those edges, up to and including truncating at the adjacent vertices to make a ''full size'' vertex figure. Stillwell defines the vertex figure as &quot;the convex hull of the neighbouring vertices of a given vertex&quot;.{{Sfn|Stillwell|2001|p=17}} That is what serves the illustrative purpose here.|name=full size vertex figure}} and meet at its center (the vertex), where they form 4 straight lines which cross there. The 8 vertices of the cube are the eight nearest other vertices of the 24-cell. The straight lines are geodesics: two {{sqrt|1}}-length segments of an apparently straight line (in the 3-space of the 24-cell's curved surface) that is bent in the 4th dimension into a great circle hexagon (in 4-space). Imagined from inside this curved 3-space, the bends in the hexagons are invisible. From outside (if we could view the 24-cell in 4-space), the straight lines would be seen to bend in the 4th dimension at the cube centers, because the center is displaced outward in the 4th dimension, out of the hyperplane defined by the cube's vertices. Thus the vertex cube is actually a [[W:cubic pyramid|cubic pyramid]]. Unlike a cube, it seems to be radially equilateral (like the tesseract and the 24-cell itself): its &quot;radius&quot; equals its edge length.{{Efn|The vertex cubic pyramid is not actually radially equilateral,{{Efn|name=radially equilateral}} because the edges radiating from its apex are not actually its radii: the apex of the [[W:cubic pyramid|cubic pyramid]] is not actually its center, just one of its vertices.}}|name=24-cell vertex figure}}

{{Efn|The hexagons are inclined (tilted) at 60 degrees with respect to the unit radius coordinate system's orthogonal planes. Each hexagonal plane contains only ''one'' of the 4 coordinate system axes.{{Efn|Each great hexagon of the 24-cell contains one axis (one pair of antipodal vertices) belonging to each of the three inscribed 16-cells. The 24-cell contains three disjoint inscribed 16-cells, rotated 60° isoclinically{{Efn|name=isoclinic 4-dimensional diagonal}} with respect to each other (so their corresponding vertices are 120° {{=}} {{radic|3}} apart). A [[16-cell#Coordinates|16-cell is an orthonormal ''basis'']] for a 4-dimensional coordinate system, because its 8 vertices define the four orthogonal axes. In any choice of a vertex-up coordinate system (such as the unit radius coordinates used in this article), one of the three inscribed 16-cells is the basis for the coordinate system, and each hexagon has only ''one'' axis which is a coordinate system axis.|name=three basis 16-cells}} The hexagon consists of 3 pairs of opposite vertices (three 24-cell diameters): one opposite pair of ''integer'' coordinate vertices (one of the four coordinate axes), and two opposite pairs of ''half-integer'' coordinate vertices (not coordinate axes). For example:
{{indent|17}}({{spaces|2}}0,{{spaces|2}}0,{{spaces|2}}1,{{spaces|2}}0)
{{indent|5}}({{spaces|2}}&lt;small&gt;{{sfrac|1|2}}&lt;/small&gt;,–&lt;small&gt;{{sfrac|1|2}}&lt;/small&gt;,{{spaces|2}}&lt;small&gt;{{sfrac|1|2}}&lt;/small&gt;,–&lt;small&gt;{{sfrac|1|2}}&lt;/small&gt;){{spaces|3}}({{spaces|2}}&lt;small&gt;{{sfrac|1|2}}&lt;/small&gt;,{{spaces|2}}&lt;small&gt;{{sfrac|1|2}}&lt;/small&gt;,{{spaces|2}}&lt;small&gt;{{sfrac|1|2}}&lt;/small&gt;,{{spaces|2}}&lt;small&gt;{{sfrac|1|2}}&lt;/small&gt;)
{{indent|5}}(–&lt;small&gt;{{sfrac|1|2}}&lt;/small&gt;,–&lt;small&gt;{{sfrac|1|2}}&lt;/small&gt;,–&lt;small&gt;{{sfrac|1|2}}&lt;/small&gt;,–&lt;small&gt;{{sfrac|1|2}}&lt;/small&gt;){{spaces|3}}(–&lt;small&gt;{{sfrac|1|2}}&lt;/small&gt;,{{spaces|2}}&lt;small&gt;{{sfrac|1|2}}&lt;/small&gt;,–&lt;small&gt;{{sfrac|1|2}}&lt;/small&gt;,{{spaces|2}}&lt;small&gt;{{sfrac|1|2}}&lt;/small&gt;)
{{indent|17}}({{spaces|2}}0,{{spaces|2}}0,–1,{{spaces|2}}0)&lt;br&gt;
is a hexagon on the ''y'' axis. Unlike the {{sqrt|2}} squares, the hexagons are actually made of 24-cell edges, so they are visible features of the 24-cell.|name=non-orthogonal hexagons|group=}}

{{Efn|Visualize the three [[16-cell]]s inscribed in the 24-cell (left, right, and middle), and the rotation which takes them to each other. [[24-cell#Reciprocal constructions from 8-cell and 16-cell|The vertices of the middle 16-cell lie on the (w, x, y, z) coordinate axes]];{{Efn|name=six orthogonal planes of the Cartesian basis}} the other two are rotated 60° [[W:Rotations in 4-dimensional Euclidean space#Isoclinic rotations|isoclinically]] to its left and its right. The 24-vertex 24-cell is a compound of three 16-cells, whose three sets of 8 vertices are distributed around the 24-cell symmetrically; each vertex is surrounded by 8 others (in the 3-dimensional space of the 4-dimensional 24-cell's ''surface''), the way the vertices of a cube surround its center.{{Efn|name=24-cell vertex figure}} The 8 surrounding vertices (the cube corners) lie in other 16-cells: 4 in the other 16-cell to the left, and 4 in the other 16-cell to the right. They are the vertices of two tetrahedra inscribed in the cube, one belonging (as a cell) to each 16-cell. If the 16-cell edges are {{radic|2}}, each vertex of the compound of three 16-cells is {{radic|1}} away from its 8 surrounding vertices in other 16-cells. Now visualize those {{radic|1}} distances as the edges of the 24-cell (while continuing to visualize the disjoint 16-cells). The {{radic|1}} edges form great hexagons of 6 vertices which run around the 24-cell in a central plane. ''Four'' hexagons cross at each vertex (and its antipodal vertex), inclined at 60° to each other.{{Efn|name=cuboctahedral hexagons}} The [[24-cell#Hexagons|hexagons]] are not perpendicular to each other, or to the 16-cells' perpendicular [[24-cell#Squares|square central planes]].{{Efn|name=non-orthogonal hexagons}} The left and right 16-cells form a tesseract.{{Efn|Each pair of the three 16-cells inscribed in the 24-cell forms a 4-dimensional [[W:tesseract|hypercube (a tesseract or 8-cell)]], in [[24-cell#Relationships among interior polytopes|dimensional analogy]] to the way two tetrahedra form a cube: the two 8-vertex 16-cells are inscribed in the 16-vertex tesseract, occupying its alternate vertices. The third 16-cell does not lie within the tesseract; its 8 vertices protrude from the sides of the tesseract, forming a cubic pyramid on each of the tesseract's cubic cells. The three pairs of 16-cells form three tesseracts.{{Efn|name=three 8-cells}} The tesseracts share vertices, but the 16-cells are completely disjoint.{{Efn|name=completely disjoint}}|name=three 16-cells form three tesseracts}} Two 16-cells have vertex-pairs which are one {{radic|1}} edge (one hexagon edge) apart. But a [[24-cell#Simple rotations|''simple'' rotation]] of 60° will not take one whole 16-cell to another 16-cell, because their vertices are 60° apart in different directions, and a simple rotation has only one hexagonal plane of rotation. One 16-cell ''can'' be taken to another 16-cell by a 60° [[24-cell#Isoclinic rotations|''isoclinic'' rotation]], because an isoclinic rotation is [[3-sphere]] symmetric: four [[24-cell#Clifford parallel polytopes|Clifford parallel hexagonal planes]] rotate together, but in four different rotational directions,{{Efn|name=Clifford displacement}} taking each 16-cell to another 16-cell. But since an isoclinic 60°  rotation is a ''diagonal'' rotation by 60° in ''two'' completely orthogonal directions at once,{{Efn|name=isoclinic geodesic}} the corresponding vertices of the 16-cell and the 16-cell it is taken to are 120° apart: ''two'' {{radic|1}} hexagon edges (or one {{radic|3}} hexagon chord) apart, not one {{radic|1}} edge (60°) apart as in a simple rotation.{{Efn|name=isoclinic 4-dimensional diagonal}} By the [[W:chiral|chiral]] diagonal nature of isoclinic rotations, the 16-cell ''cannot'' reach the adjacent 16-cell by rotating toward it; it can only reach the 16-cell ''beyond'' it. But of course, the 16-cell beyond the 16-cell to its right is the 16-cell to its left. So a 60° isoclinic  rotation ''will'' take every 16-cell to another 16-cell: a 60° ''right'' isoclinic rotation will take the middle 16-cell to the 16-cell we may have originally visualized as the ''left'' 16-cell, and a 60° ''left'' isoclinic rotation will take the middle 16-cell to the 16-cell we visualized as the ''right'' 16-cell. (If so, that was our error in visualization; the 16-cell to the &quot;left&quot; is in fact the one reached by the left isoclinic rotation, as that is the only sense in which the two 16-cells are left or right of each other.)|name=three isoclinic 16-cells}}

{{Efn|In a double rotation each vertex can be said to move along two completely orthogonal great circles at the same time, but it does not stay within the central plane of either of those original great circles; rather, it moves along a helical geodesic that traverses diagonally between great circles. The two completely orthogonal planes of rotation are said to be ''invariant'' because the points in each stay in the plane ''as the plane moves'', tilting sideways by the same angle that the other plane rotates.|name=helical geodesic}}

{{Efn|A point under isoclinic rotation traverses the diagonal{{Efn|name=isoclinic 4-dimensional diagonal}} straight line of a single '''isoclinic geodesic''', reaching its destination directly, instead of the bent line of two successive '''simple geodesics'''. A '''[[W:geodesic|geodesic]]''' is the ''shortest path'' through a space (intuitively, a string pulled taught between two points). Simple geodesics are great circles lying in a central plane (the only kind of geodesics that occur in 3-space on the 2-sphere). Isoclinic geodesics are different: they do ''not'' lie in a single plane; they are 4-dimensional [[W:helix|spirals]] rather than simple 2-dimensional circles.{{Efn|name=helical geodesic}} But they are not like 3-dimensional [[W:screw threads|screw threads]] either, because they form a closed loop like any circle (after ''two'' revolutions). Isoclinic geodesics are ''4-dimensional great circles'', and they are just as circular as 2-dimensional circles: in fact, twice as circular, because they curve in a circle in two completely orthogonal directions at once.{{Efn|Isoclinic geodesics are ''4-dimensional great circles'' in the sense that they are 1-dimensional geodesic ''lines'' that curve in 4-space in two completely orthogonal planes at once. They should not be confused with ''great 2-spheres'',{{Sfn|Stillwell|2001|p=24}} which are the 4-dimensional analogues of 2-dimensional great circles (great 1-spheres).}} These '''isoclines''' are geodesic 1-dimensional lines embedded in a 4-dimensional space. On the 3-sphere{{Efn|All isoclines are geodesics, and isoclines on the 3-sphere are circles (curving equally in each dimension), but not all isoclines on 3-manifolds in 4-space are circles.}} they always occur in [[W:chiral|chiral]] pairs and form a pair of [[W:Villarceau circle|Villarceau circle]]s on the [[W:Clifford torus|Clifford torus]],{{Efn|Isoclines on the 3-sphere occur in non-intersecting chiral pairs. A left and a right isocline form a [[W:Hopf link|Hopf link]] called the {1,1} torus knot{{Sfn|Dorst|2019|loc=§1. Villarceau Circles|p=44|ps=; &quot;In mathematics, the path that the (1, 1) knot on the torus traces is also
known as a [[W:Villarceau circle|Villarceau circle]]. Villarceau circles are usually introduced as two
intersecting circles that are the cross-section of a torus by a well-chosen plane
cutting it. Picking one such circle and rotating it around the torus
axis, the resulting family of circles can be used to rule the torus. By nesting
tori smartly, the collection of all such circles then form a [[W:Hopf fibration|Hopf fibration]].... we prefer to consider the Villarceau circle as the
(1, 1) torus knot [a [[W:Hopf link|Hopf link]]] rather than as a planar cut [two intersecting circles].&quot;}} in which ''each'' of the two linked circles traverses all four dimensions.}} the paths of the left and the right [[W:Rotations in 4-dimensional Euclidean space#Double rotations|isoclinic rotation]]. They are [[W:Helix|helices]] bent into a [[W:Möbius strip|Möbius loop]] in the fourth dimension, taking a diagonal [[W:Winding number|winding route]] twice around the 3-sphere through the non-adjacent vertices of a 4-polytope's [[W:Skew polygon#Regular skew polygons in four dimensions|skew polygon]].|name=isoclinic geodesic}}

{{Efn|[[File:Hopf band wikipedia.png|thumb|150px|Two [[W:Clifford parallel|Clifford parallel]] great circles spanned by a twisted [[W:Annulus (mathematics)|annulus]].]][[W:Clifford parallel|Clifford parallel]]s are non-intersecting curved lines that are parallel in the sense that the perpendicular (shortest) distance between them is the same at each point. A double helix is an example of Clifford parallelism in ordinary 3-dimensional Euclidean space. In 4-space Clifford parallels occur as geodesic great circles on the [[W:3-sphere|3-sphere]].{{Sfn|Kim|Rote|2016|pp=8-10|loc=Relations to Clifford Parallelism}} Whereas in 3-dimensional space, any two geodesic great circles on the [[W:2-sphere|2-sphere]] will always intersect at two antipodal points, in 4-dimensional space not all great circles intersect. In 4-polytopes various discrete sets of Clifford parallel non-intersecting geodesic great circles can be found on the 3-sphere. They spiral around each other in [[W:Hopf fibration|Hopf fiber bundles]] which visit all the vertices just once. The simplest example is that six mutually orthogonal great circles can be drawn on the 3-sphere, as three pairs of completely orthogonal great circles, intersecting at 8 points defining a [[16-cell]]. Each completely orthogonal pair of circles is Clifford parallel. They cannot intersect at all, because they lie in planes which intersect at only one point: the center of the 16-cell. Because they are perpendicular and share a common center, the two circles are obviously not parallel and separate in the usual way of parallel circles in 3 dimensions; rather they are connected like adjacent links in a chain, each passing through the other without intersecting at any points, forming a [[W:Hopf link|Hopf link]]|name=Clifford parallels}}

{{Efn|In the 24-cell each great square plane is completely orthogonal{{Efn|name=completely orthogonal planes}} to another great square plane, and each great hexagon plane is completely orthogonal to a plane which intersects only two vertices: a great [[W:digon|digon]] plane.|name=pairs of completely orthogonal planes}}

{{Efn|In an [[24-cell#Isoclinic rotations|isoclinic rotation]], each point anywhere in the 4-polytope moves an equal distance in four orthogonal directions at once, on a [[W:8-cell#Radial equilateral symmetry|4-dimensional diagonal]]. The point is displaced a total [[W:Pythagorean distance]] equal to the square root of four times the square of that distance. For example, when the unit-radius 24-cell rotates isoclinically 60° in a hexagon invariant plane and 60° in its completely orthogonal invariant plane,{{Efn|name=pairs of completely orthogonal planes}} all vertices are displaced to a vertex two edge lengths away. Each vertex is displaced to another vertex {{radic|3}} (120°) away, moving {{radic|3/4}} in four orthogonal coordinate directions.|name=isoclinic 4-dimensional diagonal}}

{{Efn|Each square plane is isoclinic (Clifford parallel) to five other square planes but completely orthogonal{{Efn|name=completely orthogonal planes}} to only one of them.{{Efn|name=Clifford parallel squares in the 16-cell and 24-cell}} Every pair of completely orthogonal planes has Clifford parallel great circles, but not all Clifford parallel great circles are orthogonal (e.g., none of the hexagonal geodesics in the 24-cell are mutually orthogonal).|name=only some Clifford parallels are orthogonal}}

{{Efn|In the [[16-cell#Rotations|16-cell]] the 6 orthogonal great squares form 3 pairs of completely orthogonal great circles; each pair is Clifford parallel. In the 24-cell, the 3 inscribed 16-cells lie rotated 60 degrees isoclinically{{Efn|name=isoclinic 4-dimensional diagonal}} with respect to each other; consequently their corresponding vertices are 120 degrees apart on a hexagonal great circle. Pairing their vertices which are 90 degrees apart reveals corresponding square great circles which are Clifford parallel. Each of the 18 square great circles is Clifford parallel not only to one other square great circle in the same 16-cell (the completely orthogonal one), but also to two square great circles (which are completely orthogonal to each other) in each of the other two 16-cells. (Completely orthogonal great circles are Clifford parallel, but not all Clifford parallels are orthogonal.{{Efn|name=only some Clifford parallels are orthogonal}}) A 60 degree isoclinic rotation of the 24-cell in hexagonal invariant planes takes each square great circle to a Clifford parallel (but non-orthogonal) square great circle in a different 16-cell.|name=Clifford parallel squares in the 16-cell and 24-cell}}

{{Efn|In 4 dimensional space we can construct 4 perpendicular axes and 6 perpendicular planes through a point. Without loss of generality, we may take these to be the axes and orthogonal central planes of a (w, x, y, z) Cartesian coordinate system. In 4 dimensions we have the same 3 orthogonal planes (xy, xz, yz) that we have in 3 dimensions, and also 3 others (wx, wy, wz). Each of the 6 orthogonal planes shares an axis with 4 of the others, and is ''completely orthogonal'' to just one of the others: the only one with which it does not share an axis. Thus there are 3 pairs of completely orthogonal planes: xy and wz intersect only at the origin; xz and wy intersect only at the origin; yz and wx intersect only at the origin.|name=six orthogonal planes of the Cartesian basis}}

{{Efn|Two planes in 4-dimensional space can have four possible reciprocal positions: (1) they can coincide (be exactly the same plane); (2) they can be parallel (the only way they can fail to intersect at all); (3) they can intersect in a single line, as two non-parallel planes do in 3-dimensional space; or (4) '''they can intersect in a single point'''{{Efn|To visualize how two planes can intersect in a single point in a four dimensional space, consider the Euclidean space (w, x, y, z) and imagine that the w dimension represents time rather than a spatial dimension. The xy central plane (where w{{=}}0, z{{=}}0) shares no axis with the wz central plane (where x{{=}}0, y{{=}}0). The xy plane exists at only a single instant in time (w{{=}}0); the wz plane (and in particular the w axis) exists all the time. Thus their only moment and place of intersection is at the origin point (0,0,0,0).|name=how planes intersect at a single point}} (and they ''must'', if they are completely orthogonal).{{Efn|Two flat planes A and B of a Euclidean space of four dimensions are called ''completely orthogonal'' if and only if every line in A is orthogonal to every line in B. In that case the planes A and B intersect at a single point O, so that if a line in A intersects with a line in B, they intersect at O.{{Efn|name=six orthogonal planes of the Cartesian basis}}|name=completely orthogonal planes}}|name=how planes intersect}}

{{Efn|Polytopes are '''completely disjoint''' if all their ''element sets'' are disjoint: they do not share any vertices, edges, faces or cells. They may still overlap in space, sharing 4-content, volume, area, or lineage.|name=completely disjoint}}

{{Efn|If the [[W:Euclidean distance|Pythagorean distance]] between any two vertices is {{sqrt|1}}, their geodesic distance is 1; they may be two adjacent vertices (in the curved 3-space of the surface), or a vertex and the center (in 4-space). If their Pythagorean distance is {{sqrt|2}}, their geodesic distance is 2 (whether via 3-space or 4-space, because the path along the edges is the same straight line with one 90&lt;sup&gt;o&lt;/sup&gt; bend in it as the path through the center). If their Pythagorean distance is {{sqrt|3}}, their geodesic distance is still 2 (whether on a hexagonal great circle past one 60&lt;sup&gt;o&lt;/sup&gt; bend, or as a straight line with one 60&lt;sup&gt;o&lt;/sup&gt; bend in it through the center). Finally, if their Pythagorean distance is {{sqrt|4}}, their geodesic distance is still 2 in 4-space (straight through the center), but it reaches 3 in 3-space (by going halfway around a hexagonal great circle).|name=Geodesic distance}}

{{Efn|Two angles are required to fix the relative positions of two planes in 4-space.{{Sfn|Kim|Rote|2016|p=7|loc=§6 Angles between two Planes in 4-Space|ps=; &quot;In four (and higher) dimensions, we need two angles to fix the relative position between two planes. (More generally, ''k'' angles are defined between ''k''-dimensional subspaces.)&quot;}} Since all planes in the same [[W:hyperplane|hyperplane]] are 0 degrees apart in one of the two angles, only one angle is required in 3-space. Great hexagons in different hyperplanes are 60 degrees apart in ''both'' angles. Great squares in different hyperplanes are 90 degrees apart in ''both'' angles (completely orthogonal){{Efn|name=completely orthogonal planes}} or 60 degrees apart in ''both'' angles.{{Efn||name=Clifford parallel squares in the 16-cell and 24-cell}} Planes which are separated by two equal angles are called ''isoclinic''. Planes which are isoclinic have [[W:Clifford parallel|Clifford parallel]] great circles.{{Efn|name=Clifford parallels}} A great square and a great hexagon in different hyperplanes are neither isoclinic nor Clifford parallel; they are separated by a 90 degree angle ''and'' a 60 degree angle.|name=two angles between central planes}}

{{Efn|The 24-cell contains 3 distinct 8-cells (tesseracts), rotated 60° isoclinically with respect to each other. The corresponding vertices of two 8-cells are {{radic|3}} (120°) apart. Each 8-cell contains 8 cubical cells, and each cube contains four {{radic|3}} chords (its long diagonals). The 8-cells are not completely disjoint{{Efn|name=completely disjoint}} (they share vertices), but each cube and each {{radic|3}} chord belongs to just one 8-cell. The {{radic|3}} chords joining the corresponding vertices of two 8-cells belong to the third 8-cell.|name=three 8-cells}}

{{Efn|Departing from any vertex V&lt;sub&gt;0&lt;/sub&gt; in the original great hexagon plane of isoclinic rotation P&lt;sub&gt;0&lt;/sub&gt;, the first vertex reached V&lt;sub&gt;1&lt;/sub&gt; is 120 degrees away along a {{radic|3}} chord lying in a different hexagonal plane P&lt;sub&gt;1&lt;/sub&gt;. P&lt;sub&gt;1&lt;/sub&gt; is inclined to P&lt;sub&gt;0&lt;/sub&gt; at a 60° angle.{{Efn|P&lt;sub&gt;0&lt;/sub&gt; and P&lt;sub&gt;1&lt;/sub&gt; lie in the same hyperplane (the same central cuboctahedron) so their other angle of separation is 0.{{Efn|name=two angles between central planes}}}} The second vertex reached V&lt;sub&gt;2&lt;/sub&gt; is 120 degrees beyond V&lt;sub&gt;1&lt;/sub&gt; along a second {{radic|3}} chord lying in another hexagonal plane P&lt;sub&gt;2&lt;/sub&gt; that is Clifford parallel to P&lt;sub&gt;0&lt;/sub&gt;.{{Efn|P&lt;sub&gt;0&lt;/sub&gt; and P&lt;sub&gt;2&lt;/sub&gt; are 60° apart in ''both'' angles of separation.{{Efn|name=two angles between central planes}} Clifford parallel planes are isoclinic (which means they are separated by two equal angles), and their corresponding vertices are all the same distance apart. Although V&lt;sub&gt;0&lt;/sub&gt; and V&lt;sub&gt;2&lt;/sub&gt; are ''two'' {{radic|3}} chords apart{{Efn|V&lt;sub&gt;0&lt;/sub&gt; and V&lt;sub&gt;2&lt;/sub&gt; are two {{radic|3}} chords apart on the geodesic path of this rotational isocline, but that is not the shortest geodesic path between them. In the 24-cell, it is impossible for two vertices to be more distant than ''one'' {{radic|3}} chord, unless they are antipodal vertices {{radic|4}} apart.{{Efn|name=Geodesic distance}} V&lt;sub&gt;0&lt;/sub&gt; and V&lt;sub&gt;2&lt;/sub&gt; are ''one'' {{radic|3}} chord apart on some other isocline. More generally, isoclines are geodesics because the distance between their ''adjacent'' vertices is the shortest distance between those two vertices, but a path between two vertices along a geodesic is not always the shortest distance between them (even on ordinary great circle geodesics).}}, P&lt;sub&gt;0&lt;/sub&gt; and P&lt;sub&gt;2&lt;/sub&gt; are just one {{radic|1}} edge apart (at every pair of ''nearest'' vertices).}} (Notice that V&lt;sub&gt;1&lt;/sub&gt; lies in both intersecting planes P&lt;sub&gt;1&lt;/sub&gt; and P&lt;sub&gt;2&lt;/sub&gt;, as V&lt;sub&gt;0&lt;/sub&gt; lies in both P&lt;sub&gt;0&lt;/sub&gt; and P&lt;sub&gt;1&lt;/sub&gt;. But P&lt;sub&gt;0&lt;/sub&gt; and P&lt;sub&gt;2&lt;/sub&gt; have ''no'' vertices in common; they do not intersect.) The third vertex reached V&lt;sub&gt;3&lt;/sub&gt; is 120 degrees beyond V&lt;sub&gt;2&lt;/sub&gt; along a third {{radic|3}} chord lying in another hexagonal plane P&lt;sub&gt;3&lt;/sub&gt; that is Clifford parallel to P&lt;sub&gt;1&lt;/sub&gt;. The three {{radic|3}} chords lie in different 8-cells.{{Efn|name=three 8-cells}} V&lt;sub&gt;0&lt;/sub&gt; to V&lt;sub&gt;3&lt;/sub&gt; is a 360° isoclinic rotation.|name=360 degree geodesic path visiting 3 hexagonal planes}}

{{Sfn|Mamone, Pileio &amp; Levitt|2010|loc=§4.5 Regular Convex 4-Polytopes|pp=1438-1439|ps=; the 24-cell has 1152 symmetry operations (rotations and reflections) as enumerated in Table 2, symmetry group 𝐹&lt;sub&gt;4&lt;/sub&gt;.}}

==Notes==
{{Regular convex 4-polytopes Notelist|wiki=W:}}

==Citations==
{{Regular convex 4-polytopes Reflist|wiki=W:}}

==References==
{{Refbegin}}
* {{Cite book|title=A Week on the Concord and Merrimack Rivers|last=Thoreau|first=Henry David|author-link=W:Thoreau|publisher=James Munroe and Company|year=1849|isbn=|location=Boston|ref={{SfnRef|Thoreau|1849}}}}
* {{Cite journal|title=Theoretical Evidence for Principles of Special Relativity Based on Isotropic and Uniform Four-Dimensional Space|first=Takuya|last=Yamashita|date=25 May 2023|doi= 10.20944/preprints202305.1785.v1|journal=Preprints|volume=2023|issue=2023051785|url=https://doi.org/10.20944/preprints202305.1785.v1}}
* {{Cite_arXiv | arxiv=2512.02903v2 | date=2 January 2026 | title=Symmetry transformation group arising from the Laplace–Runge–Lenz vector | first1=Stephen C. | last1=Anco | first2=Mahdieh Gol Bashmani | last2=Moghadam | class=math-ph}}

=== [[Polyscheme|Polyschemes]] ===
{{Regular convex 4-polytopes Refs|wiki=W:}}
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      <text bytes="40420" sha1="f9j7siu6q40xf4if4t1rdpaqqok831h" xml:space="preserve">{{title|Flourishing in the elderly:&lt;br&gt;How can psychological flourishing be supported in the elderly?}}
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==Overview==
&lt;br&gt;
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[[File:Elderly Woman, B&amp;W image by Chalmers Butterfield.jpg|thumb|157x196px|'''Figure 1'''. ''Sarah ...''. (image no longer visible after April 2025 due to Wiki Commons feedback and user request for deletion)]]
'''''Can you relate''''' ...

Sarah, aged 85, begins her day in a house echoing with memories. Faded photographs on the mantelpiece showcase her once pivotal role in the community. From hosting gatherings to being an active voice at the local council, she had always championed causes dear to her. But now, an overwhelming quietness envelops her heart, and she has lost touch with her sense of purpose.

Time has seen her closest friends move or pass away. Family visits, once frequent and filled with laughter, have become increasingly rare. This growing isolation weighs on Sarah, exacerbated by a society that seems to prioritise youth over experience. The fast-paced technological world further alienates her; smart devices and social media platforms feel foreign, exacerbating her deep-seated fear of irrelevance in a world that is rapidly evolving without her.

In a society increasingly centred on youth, how can seniors like Sarah reclaim their vitality and sense of meaning?
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&lt;br&gt;
[[File:Elderly Couple Eating.jpg|thumb|250x250px|'''Figure 2'''. ''An elderly couple ...'' (image no longer visible after March 2026 due to Wiki Commons feedback and user request for deletion)]]

The [[wikipedia:Ageing#Successful_ageing|ageing]] population represents an invaluable repository of [[wikipedia:Wisdom|wisdom]], [[wikipedia:Experience|experience]], and [[wikipedia:Insight|insight]] (see Figure 2). Yet, many elderly individuals, much like Sarah, face challenges related to purpose, meaning, and overall psychological [[wikipedia:Well-being|well-being]]. This raises a question; can the elderly attain a state of psychological [[Motivation and emotion/Book/2018/Flourishing|flourishing]], even in the face of age-related adversities? The domain of [[wikipedia:Positive_psychology|positive psychology]] offers evidence-based strategies. Read on to explore what these strategies are and how they can be applied to support seniors in their journey toward a life filled with purpose, meaning, and joy.

Specifically, psychological flourishing in the elderly may be supported through a combination of the following four elements, especially when tailored to individual needs and preferences:

# [[wikipedia:Social_support|Social engagement]] and meaningful activities such as community involvement or [[wikipedia:Hobby#Psychological_role|hobbies]] (Helliwell et al., 2013)
# Mental stimulation via [[wikipedia:Brain_training|cognitive training]] programs can sustain mental acuity and may delay cognitive decline (Ball et al., 2002)
# [[Motivation and emotion/Book/2013/Motivating the elderly to exercise|Physical activity]] using exercises tailored to the elderly improve mood and cognitive function (Colcombe &amp; Kramer, 2003)
# Incorporating [[Motivation and emotion/Book/2020/Coping and emotion|positive coping strategies]] from positive psychology techniques, such as gratitude exercises, builds [[wikipedia:Psychological_resilience|resilience]] and satisfaction (Seligman et al., 2005)
&lt;br&gt;
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'''Focus questions:'''
* What is psychological flourishing?
* Why is psychological flourishing important for the elderly?
* How does positive psychology foster psychological flourishing?
* What can seniors do to flourish?
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&lt;br&gt;

== What is psychological flourishing? ==
Psychological flourishing, a term frequently linked to positive psychology, has gained prominence over the years. For elderly individuals, understanding and achieving psychological flourishing is paramount, considering the myriad challenges they confront during this stage of life (Park et al., 2002). The concept of psychological flourishing and its significance, particularly in the context of ageing, will be explored in depth. Psychological theory, such as self-determination theory and resilience theory, combine with empirical evidence to underpin the suggested four-element model. It is also essential to define and distinguish psychological flourishing from broader notions of general flourishing and well-being. Through understanding this distinction, the unique facets of flourishing and its potential impact on the lives of older individuals become evident. Common misconceptions about psychological flourishing are also addressed, ensuring clarity in subsequent discussions.

Psychological flourishing, a concept closely associated with positive psychology, has gained prominence in recent years. For elderly individuals, comprehending and attaining psychological flourishing is crucial, given the diverse challenges encountered in this life stage (Park et al., 2002). The concept of psychological flourishing and its significance, particularly in the context of ageing, will be explored in depth. Psychological theories such as self-determination theory and resilience theory, as well as empirical evidence, will be used to establish a four-element model of psychological flourishing. Additionally, it is vital to delineate psychological flourishing from broader concepts of general flourishing and well-being. By grasping these distinctions, the unique facets of flourishing and their potential transformative impacts on the lives of older individuals become evident. Common misconceptions about psychological flourishing will also be addressed to ensure clarity in the discussions that follow.

=== Definitions and distinctions ===
Psychological flourishing, often simply termed &quot;flourishing&quot;, signifies a pinnacle in human functioning. It represents a well-being state that extends beyond merely being free from distress or psychological issues. More than mere survival, flourishing connotes thriving, excelling, and feeling an intense sense of purpose and contentment (Seligman et al., 2005). This condition transcends mere happiness or the absence of mental illness (Sin &amp; Lyubomirsky, 2009). Flourishing provides a holistic view, emphasising positive human functioning across various areas, from relationships to personal growth and purpose. It captures positive emotions, a sense of engagement, strong social connections, and a profound understanding of life's meaning. Distinct from general well-being, flourishing underscores not just feeling good but also functioning effectively, accentuating both [[wikipedia:Hedonic_motivation|hedonic]] (feelings about life) and [[wikipedia:Eudaimonia|eudaimonic]] (functioning in life) well-being facets (Keyes, 2007).

Positive psychology’s well-being theory, also known as the PERMA model, conceptualises well-being as a state of comfort, health, or happiness (Seligman, 2011). The model comprises five elements: positive emotion, engagement, positive relationships, meaning, and accomplishment (Seligman, 2011). However, psychological flourishing transcends the ‘feeling good’ aspect of well-being. It encompasses optimal functioning in daily life, incorporating the key principles of self-determination theory: autonomy, relatedness, and competence.

=== Importance in the context of ageing ===
Ageing often elicits feelings of apprehension and resignation, influenced by perceptions of decline or limitation, both physically and mentally. Nevertheless, research indicates that many elderly individuals experience periods of growth, insight, and enhanced well-being. For example, the Adult Development and Enrichment Project (ADEPT), conducted by researchers at Pennsylvania State University, underscored the potential for intellectual and emotional growth even in advanced age (Hultsch et al., 1999). Psychological flourishing becomes paramount in this context, assisting the elderly in navigating challenges, capitalising on opportunities, and making meaningful contributions to their communities and personal lives, thereby maintaining their autonomy, relatedness, and competence.

Psychological flourishing challenges these notions of decline or limitation, highlighting the profound possibilities for growth, enrichment, and depth in later life (Paterson &amp; Warburton, 2010). Embracing flourishing can significantly transform the way elderly individuals perceive their later years, encouraging them to view this period as an opportunity for renewed purpose, deepened relationships, and the cultivation of new passions or interests. Furthermore, as elderly individuals inevitably face challenges, resilience theory provides a framework for developing a mindset rooted in flourishing (Southwick &amp; Charney, 2012; Bonanno et al., 2004). Such a capacity and mindset act as a solid foundation, empowering seniors to approach obstacles with resilience and poise (Seligman et al., 2005).

=== Misconceptions ===
Several misconceptions exist regarding the concept of psychological flourishing. Contrary to common belief, it does not imply a perpetual state of happiness or a life devoid of adversity. Psychological flourishing is not about the absence of negative emotions or challenges. Instead, it focuses on cultivating psychological tools and strategies to navigate adversity, empowering individuals to thrive amidst difficulties (Carstensen et al., 1999). Clarifying these misconceptions paves the way for a deeper understanding of how older individuals can achieve and maintain psychological flourishing.

To truly grasp psychological flourishing in older adults, it is crucial to debunk prevalent myths about the ageing process. If left unchallenged, these misconceptions could deter the implementation of strategies promoting well-being in later life (Carstensen et al., 1999; Charles &amp; Carstensen, 2010). Table 1 presents evidence-based counters to these myths, highlighting the potential for growth and vitality among the elderly.
{| class=&quot;wikitable&quot;
|+ Table 1. ''Dispelling Common Misconceptions about the Ageing Process''&lt;br&gt;
|-
! Myth !! Fact
|-
| Ageing leads to inevitable cognitive and emotional decline. || Ageing can offer growth opportunities with the right strategies.
|-
| Ageing means mental and physical decline. || Many older adults maintain high cognitive and physical activity levels with suitable exercises (Park et al., 2002; Hultsch et al., 1999).
|-
| Social withdrawal is an ageing inevitability. || While social circles might decrease in size, relationship quality often improves, and staying socially engaged is beneficial (Carstensen et al., 1999; Charles &amp; Carstensen, 2010).
|-
| Physical activity is risky for older adults. || Moderate physical activity improves mental and physical health in the elderly, refuting the risk myth (Paterson &amp; Warburton, 2010; Chodzko-Zajko et al., 2009).
|-
| Positive thinking is naive. || Adopting a positive mindset is empirically supported, and positive psychology boosts well-being in the elderly (Seligman et al., 2005; Sin &amp; Lyubomirsky, 2009).
|}

== Significance of psychological flourishing for the elderly ==
Psychological flourishing holds a special significance for the elderly (Seligman, 2011). As they navigate the complexities of ageing, fostering a sense of purpose, joy, and well-being is essential (Bonanno et al., 2004). The importance of psychological flourishing for older adults lies in its comprehensive contributions to their emotional, cognitive, and physical domains (Emmons &amp; McCullough, 2003; Hultsch et al., 1999). Drawing upon current research, the following discussion explores the transformative effects of a flourishing mindset.

=== Emotional benefits ===
Ageing introduces challenges that can be emotionally strenuous. However, research such as that by Peterson et al. (2007) indicates that character strengths, including love, gratitude, and hope, can significantly enhance emotional well-being. A good sense of humour provides further enhancement to emotional well-being according to research conducted by Martin et al. (1993). Flourishing ensures that the elderly possess the emotional resilience required to confront challenges, nurturing feelings of contentment and fulfilment (Bonanno et al., 2004). A senior who flourishes, for instance, might derive profound joy from meaningful relationships or experience a deep sense of gratitude for life's journey. This emotional equilibrium not only improves overall life quality but also acts as a safeguard against stress, rendering the ageing experience more rewarding (Bengtson, 2001; Carstensen et al., 1999).

=== Cognitive benefits ===
Psychological flourishing has discernible effects on cognitive function. A flourishing mind is an active one, continuously engaged in stimulating activities. Various researchers have observed that aspects like mental stimulation and engagement in activities such as walking, cycling, and sports play a role in cognitive maintenance (Bonanno et al., 2004; Emmons &amp; McCullough, 2003; Hultsch et al., 1999). Cross-sectional and retrospective studies, although lacking direct causation evidence, highlight the correlation between physical activity and cognitive function (Hultsch et al., 1999; Paterson &amp; Warburton, 2010). Moreover, character strengths such as curiosity and zest, as pinpointed by Peterson et al. (2007), equip the elderly with a passion for learning, keeping their cognitive faculties sharp and agile. It is a proactive stance against cognitive decline, ensuring that the elderly remain mentally active and engaged.

=== Impact on physical health and longevity ===
The connection between the mind and body is profound, particularly in the context of ageing. Research consistently underscores the positive effects of physical activity on functional outcomes, with an emphasis on the benefits of aerobic activities and structured exercise programs (Greenfield &amp; Marks, 2004; Paterson &amp; Warburton, 2010). Notably, regular participation in these activities is linked to decreased risks of functional impairments. Beyond the immediate physical benefits, psychological flourishing, with its focus on positive behaviours and proactive approaches, may also enhance longevity (Bengtson, 2001; Peterson et al. 2007). For example, seniors who cultivate qualities such as gratitude, as identified in studies by Peterson et al. (2007), are likely to adopt more health-promoting behaviours. This symbiotic relationship between a flourishing mind and a healthy body underscores the importance of psychological well-being in the elderly.

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&lt;quiz display=simple&gt;
{Imagine you are chatting with a friend about the advantages of psychological flourishing in older adults. Which of the following is NOT a benefit of psychological flourishing in the elderly?
|type=&quot;()&quot;}
- Enhanced emotional resilience to confront challenges
+ Safeguard against financial issues
- Improved overall life quality
- Acts as a safeguard against stress

{A senior with a flourishing mindset might derive profound joy from meaningful relationships and experience a deep sense of gratitude for life's journey.
|type=&quot;()&quot;}
+ True
- False

{Research indicates that seniors who cultivate qualities like gratitude are more likely to:
|type=&quot;()&quot;}
- Avoid social interactions
- Abstain from any form of physical activity
+ Adopt additional health-promoting behaviours
- Experience rapid cognitive decline
&lt;/quiz&gt;
{{RoundBoxBottom}}

== The role of positive psychology ==
Positive psychology represents a rapidly growing field, concentrating on the cultivation of individual strengths, virtues, and peak human functioning, as highlighted by Seligman (2011). For elderly individuals, this approach provides a comprehensive viewpoint, tackling the intrinsic challenges associated with ageing while actively encouraging a flourishing life that extends past mere existence. Southwick and Charney's (2012) influential research underscores resilience, an essential aspect of positive psychology's resilience theory, as crucial in managing stress and trauma. This section explores relevant core principles of positive psychology that, illustrate its substantial utility in supporting psychological flourishing among seniors.

=== Foundational principles and theories ===
Positive psychology fundamentally examines the conditions and processes essential for optimal functioning, as investigated by Southwick and Charney (2012). It transforms the traditional focus on deficits and disorders, advocating instead for the amplification of strengths, positive emotions, and resilience. These elements are crucial for seniors, offering invaluable guidance through the complexities of later life. Core theoretical frameworks within this field, including resilience theory, self-determination theory, and well-being theory, shed light on various avenues available for seniors to discover meaning, purpose, and an elevated sense of well-being, even amidst the challenges life presents.

* '''Resilience theory''' in psychology delves into the complex processes that enable individuals to adapt positively in the face of adversity. Recognising resilience as a dynamic and developmental capacity, it encompasses both internal cognitive-affective mechanisms, such as emotion regulation and a robust sense of self-efficacy, and external factors like strong social support networks. This framework underscores the notion that resilience is not an innate trait; rather, it is a skill subject to cultivation. The theory also integrates the concept of post-traumatic growth, shedding light on how challenging experiences can contribute to personal development and a deeper sense of meaning in life. By considering individual differences and the developmental context, resilience theory provides a nuanced understanding of adaptive functioning, guiding interventions that aim to enhance resilience and promote positive psychological outcomes (Southwick &amp; Charney, 2012; Bonanno et al., 2004).
* '''Self-determination theory''' (SDT) stands as a prominent psychological framework elucidating the intrinsic and extrinsic factors driving human motivation and behaviour. Developed by Deci and Ryan, the theory posits that the fulfillment of three core psychological needs—autonomy, competence, and relatedness—is paramount for optimal functioning and well-being (Ryan &amp; Deci, 2018). Autonomy pertains to the sense of volition and self-governance in one’s actions, competence encompasses the need to master tasks and learn, and relatedness refers to the desire for meaningful connections and belongingness. In the context of flourishing, particularly among seniors, SDT offers valuable insights into how supportive environments and interventions can be crafted to nurture these fundamental needs. By emphasising the integral role of internal motivation and the social context in psychological well-being, SDT provides a nuanced and comprehensive understanding of the pathways leading to enhanced flourishing and life satisfaction. This theory, therefore, serves as a pivotal guide in the quest to foster resilient, connected, and self-determined lives in the elderly population.
* '''Well-being theory''', conceptualised by Martin Seligman, represents a pivotal shift in psychological thought, extending the focus from the mere alleviation of distress to the active cultivation of optimal living. Seligman (2011) introduced the PERMA model, which encapsulates five integral components of well-being: positive emotion, engagement, positive relationships, meaning, and accomplishment. Positive emotion emphasises the value of fostering joy and contentment, while engagement stresses the importance of deep absorption in activities, invoking a state of flow. Positive relationships highlight the necessity of nurturing supportive and enriching connections. Meaning pertains to pursuing a purpose larger than oneself, and accomplishment encompasses striving for mastery and achievement. For the elderly, these dimensions provide a comprehensive blueprint for flourishing, guiding interventions and practices aimed at enhancing life quality and fulfilment. Well-being theory thus stands as a foundational pillar in positive psychology, offering a nuanced and holistic understanding of the factors that contribute to a life well-lived, irrespective of one’s age.

=== Psychological functioning and its role ===
Research conducted by Southwick and Charney (2012) underscores the integral role of psychological resilience in combatting depression—a condition prevalent among the elderly (16.1% of 65+-year-old Australians in [https://www.abs.gov.au/statistics/health/health-conditions-and-risks/health-conditions-prevalence/latest-release 2020–21]). Resilience does not merely denote bouncing back from adversity but signifies thriving amidst it. The elderly, with a lifetime of experiences, possess unique strengths and coping mechanisms. By harnessing these, and understanding neurobiological and psychosocial factors, there is an avenue for improved psychological functioning, ultimately contributing to enhanced flourishing.

=== The resilience connection ===
Several studies highlight that resilience is intricately linked to genetics, environment, neurobiology, and psychosocial factors (Helliwell &amp; Sachs, 2013; Seligman, 2011; Southwick &amp; Charney, 2012). For seniors, building resilience becomes a pivotal tool in managing age-related stressors and traumas. Embracing resilience does not mean avoiding challenges but rather developing a robust toolkit to face them head-on. With strategies encompassing positive emotions, social support, coping skills, and more, resilience offers a protective layer, allowing seniors to remain buoyant in the face of life's trials.

=== Proactive approaches and interventions ===
Promoting flourishing among the elderly necessitates actionable steps grounded in empirical evidence. Southwick and Charney (2012) advocate for interventions such as modifying the biological and psychosocial environment, strengthening social support networks, enhancing cognitive engagements, and boosting physical health through aerobic exercises. It is crucial to tailor these approaches to the distinct needs of seniors, taking into account their physiological, cognitive, and socio-emotional states. When informed by positive psychology, the amalgamation of these interventions paves the way for a life marked by heightened contentment, purpose, and joy in the latter years. Figure 3 illustrates how the integration of these supportive interventions correlates with increased levels of psychological flourishing among the elderly.&lt;br&gt;

[[File:Psychological Flourishing - amalgamation model.png|center|thumb|400x400px|'''Figure 3'''. ''The cumulative impact of multiple interventions for supporting flourishing in the elderly''.]]

== What can seniors do to flourish? ==
Psychological flourishing in seniors is essential for their well-being and quality of life. This section delves into practical, evidence-based strategies derived from positive psychology to foster flourishing among the elderly. It emphasises the importance of social engagement, mental stimulation, physical activity, and positive coping techniques. Tailored to individual needs, these approaches aim to enhance purpose, joy, and meaningful connections, addressing the unique challenges faced by seniors in their pursuit of a fulfilling life.

=== Social engagement and meaningful activities ===	
[[File:Social Engagement Meaningful contribution.png|thumb|250x250px|'''Figure 4'''''.'' ''A group of seniors preparing meals for community service; socially engaged and contributing meaningfully''.]]

* Building social connections rejuvenates the spirit and enhances well-being.
* Social relationships have been found to significantly influence mental and emotional well-being in the elderly. A strong social network can reduce feelings of loneliness and depression, thereby promoting psychological flourishing (Cacioppo et al., 2006).
* Forming bonds across different age groups can be mutually beneficial and specifically aid the elderly in feeling more connected and less isolated (Bengtson, 2001).
* Engaging in community activities or volunteering (see Figure 4) has been shown to provide a sense of purpose and improve mental health outcomes for seniors (Greenfield &amp; Marks, 2004).

{| style=&quot;border: 1px solid #A0A0A0; border-radius: 12px; display: inline-table; background-color: transparent;padding-right: 20px;&quot;
|[[File:Crystal Clear app ktip.svg|left|30px|]]'''''Consider''''': When was the last time you made a new friend? What activities can help you meet new people?
:''Suggestions'': Engage in community activities, reconnect with old friends, or even consider pet ownership.&lt;br&gt;
::Establish regular family visits or calls, attend local gatherings, or join clubs focused on specific interests.
|}

[[File:Deeply engrossed in puzzle.png|thumb|317x317px|'''Figure 5'''''.'' ''An elderly woman deeply engrossed in her daily crossword puzzle; an excellent form of mental stimulation''.]]

=== Mental stimulation ===
* Continuous learning has been linked to cognitive vitality and emotional well-being (Park &amp; Bischof, 2013).
* Activities that require creativity, such as painting or music, not only stimulate the brain but also contribute to a greater sense of purpose and joy, enhancing the quality of life (Cohen et al., 2006).
* Research indicates that lifelong learning and mental stimulation can help prevent cognitive decline and improve overall psychological well-being. Older adults who engage in mentally stimulating activities (see Figure 5) report higher levels of happiness and lower levels of depression (Hultsch et al., 1999).
* More recent research underscores the notion that the ageing brain is capable of new neural connections when subjected to novel learning experiences, enhancing cognitive and emotional well-being (Park &amp; Bischof, 2013).

{| style=&quot;border: 1px solid #A0A0A0; border-radius: 12px; display: inline-table; background-color: transparent;padding-right: 20px;&quot;
|[[File:Crystal Clear app ktip.svg|left|30px|]]'''''Consider''''': Reflect on a skill you've always wanted to learn. What's stopping you now?
:''Suggestions'': Take up a new hobby, join an interesting class, or simply read a new book.&lt;br&gt;
::Explore online courses tailored for seniors or consider group-based activities to foster intellectual engagement.
|}

=== Physical activity ===
[[File:TaiChi-group.png|thumb|300x280px|'''Figure 6'''''.'' ''A group of elderly enjoying a tai chi class tailored for maintaining mobility and easing arthritis symptoms''.]]

* Regular physical activity boosts mental health and protects against age-related ailments such as heart disease, osteoporosis, and [https://en.wikipedia.org/wiki/Sarcopenia sarcopenia] (loss of muscle mass).
* Several studies show that regular physical exercise can improve cognitive function, thereby supporting not only physical but also mental well-being (Colcombe &amp; Kramer, 2003).
* Group exercise activities like tai chi (see Figure 6) or water aerobics offer not only physical benefits but also social interaction, which can further contribute to psychological well-being (Liu &amp; Latham, 2009).
* Improved sleep through regular physical activity is correlated with better mood and mental health, providing another pathway to psychological flourishing (Reid et al., 2010).

{| style=&quot;border: 1px solid #A0A0A0; border-radius: 12px; display: inline-table; background-color: transparent;padding-right: 20px;&quot;
|[[File:Crystal Clear app ktip.svg|left|30px|]]'''''Consider''''': Reflect on a skill you've always wanted to learn. What's stopping you now?
:''Suggestions'': Incorporate simple exercises into your daily routine, such as
::walking, yoga, or dancing, or consider joining a senior-friendly exercise group.&lt;br&gt;
:''Please note:'' Always consult your healthcare professional before starting any new exercise regimen.
|}

[[File:Meditating man-solo.png|thumb|317x317px|'''Figure 7'''''.'' ''An elderly man practicing guided meditation; an excellent positive coping strategy''.]]

=== Positive coping strategies ===
* Develop resilience against challenges by adopting positive coping mechanisms such as meditation (see Figure 7), relaxation techniques, and engaging in spirituality.
* Positive psychology interventions focus on strengths and virtues and have shown efficacy in improving well-being and reducing depressive symptoms in older adults (Seligman et al., 2005).
* Incorporating gratitude into daily routines has been associated with positive emotional states, greater well-being, and better physical health in older adults (Emmons &amp; McCullough, 2003).
* Utilising humor is shown to not only uplift mood but also serve as an effective coping strategy for stress and life challenges. This is particularly relevant for elderly individuals who may face various forms of age-related adversity (Martin et al., 1993).

{| style=&quot;border: 1px solid #A0A0A0; border-radius: 12px; display: inline-table; background-color: transparent;padding-right: 20px;&quot;
|[[File:Crystal Clear app ktip.svg|left|30px|]]'''''Consider''''': Reflect on a past challenge. How did you cope? How can you refine this strategy?
:''Suggestions'': Embrace activities that foster mindfulness and reflection, such as
::meditation, gratitude journaling, or joining a support group.&lt;br&gt;
|}

{{RoundBoxTop|theme=13}}
[[File:Elderly man-zest for life-mentoring.png|thumb|327x182px|'''Figure 8'''. ''John rediscovered his zest for life through mentoring teenagers, a program organised by his local APEX club''.]]
'''''Can you relate''''' ...

John, at 80, often sat in his armchair, lost in memories of youthful adventures. He believed his golden years had long passed, with each day echoing the sentiments of a vibrant past. Collecting his mail one day, a flyer for the local book club caught his attention, hinting at a promise of engaging discussions. Deciding to join, John discovered that the club was more than just about books; it was a community bridging generational gaps through shared stories.

A young woman from the group, impressed by John's vast life experiences, introduced him to a mentoring program hosted by the local [[w:Apex Clubs of Australia|APEX]] club. Through mentoring, John shared his life lessons, offering wisdom and guidance to the younger generation. This exchange rekindled his understanding of the value of his own journey. Far from feeling that his best years were behind him, the interactions brought about a renewed sense of purpose (see Figure 8). Through the book club and mentoring, John not only found a revived passion for literature but also tapped into a deeper zest for life, seeing his age not as a limitation but as a testament to a life rich with experiences.
{{RoundBoxBottom}}

==Conclusion==
Ageing, despite its inherent challenges, can still be a period rich in growth, connection, and profound meaning. By integrating the principles of positive psychology with tailored interventions, an environment conducive to psychological flourishing in the elderly can be cultivated. Foundational theories such as resilience theory, self-determination theory, and well-being theory offer a robust framework for understanding and nurturing the various facets of flourishing.

Translating these theories into practical strategies and interventions empowers seniors to gracefully navigate the complexities of ageing, maintaining resilience and a sustained sense of well-being. Supporting flourishing in the elderly necessitates a commitment to social engagement, enhancing emotional well-being; continuous mental stimulation, promoting cognitive vitality; regular physical activity, supporting both physical and mental health; and the adoption of positive coping strategies to foster resilience. These strategies not only enhance their quality of life but also contribute positively to the broader community, as the elderly impart their wisdom, experience, and emotional stability.

Furthermore, dispelling misconceptions surrounding ageing and psychological flourishing is paramount. Challenging societal stereotypes and adopting a holistic view of ageing is essential, acknowledging the potential for growth, development, and fulfilment in this life stage.

In conclusion, supporting psychological flourishing in the elderly is a multifaceted endeavour. It demands a collaborative effort from individuals, communities, and society at large, aiming to create environments that nurture the emotional, cognitive, and physical aspects of well-being. In doing so, the invaluable contributions of the elderly are honoured, fostering a culture of respect, appreciation, and comprehensive support, ensuring that the senior years are indeed filled with growth, connection, and a profound sense of purpose.

==See also==
# [[Motivation and emotion/Book/2014/Ageing and emotion|Ageing and emotion]] (Book chapter, 2014)
# [[Motivation and emotion/Book/2023/Ageing and motivation|Ageing and motivation]] (Book chapter, 2023)
# [[Motivation and emotion/Book/2023/Nudge_theory_and_sedentary_behaviour|Nudge theory and sedentary behaviour]] (Book chapter, 2023)
# [[wikipedia:Self-determination_theory|Self-determination theory]] (Wikipedia)
# [[Motivation and emotion/Book/2023/Death_and_meaning_in_life|Death and meaning in life]] (Book chapter, 2023)
# [[Motivation and emotion/Book/2023/Community_resilience|Community resilience]] (Book chapter, 2023)

== References ==
{{Hanging indent|1=

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Bengtson, V. L. (2001). Beyond the nuclear family: The increasing importance of multigenerational bonds. ''Journal of Marriage and Family'', ''63''(1), 1–16.  https://doi.org/10.1111/j.1741-3737.2001.00001.x

Bonanno, G. A., Wortman, C. B., &amp; Nesse, R. M. (2004). Prospective patterns of resilience and maladjustment during widowhood. ''Psychology and Aging'', ''19''(2), 260–271. https://doi.org/10.1037/0882-7974.19.2.260

Cacioppo, J. T., Hughes, M. E., Waite, L. J., Hawkley, L. C., &amp; Thisted, R. A. (2006). Loneliness as a specific risk factor for depressive symptoms: Cross-sectional and longitudinal analyses. ''Psychology and Aging'', ''21''(1), 140–151. https://doi.org/10.1037/0882-7974.21.1.140

Carstensen, L. L., Isaacowitz, D. M., &amp; Charles, S. T. (1999). Taking time seriously: A theory of socioemotional selectivity. ''American Psychologist'', ''54''(3), 165–181. https://doi.org/10.1037/0003-066X.54.3.165

Charles, S. T., &amp; Carstensen, L. L. (2010). Social and emotional aging. ''Annual Review of Psychology'', ''61'', 383–409. https://doi.org/10.1146/annurev.psych.093008.100448

Chodzko-Zajko, W. J., Proctor, D. N., Fiatarone Singh, M. A., Minson, C. T., Nigg, C. R., Salem, G. J., &amp; Skinner, J. S. (2009). Exercise and physical activity for older adults. ''Medicine &amp; Science in Sports &amp; Exercise'', ''41''(7), 1510–1530. https://doi.org/10.1249/MSS.0b013e3181a0c95c

Cohen, G. D., Perlstein, S., Chapline, J., Kelly, J., Firth, K. M., &amp; Simmens, S. (2006). The impact of professionally conducted cultural programs on the physical health, mental health, and social functioning of older adults. ''The Gerontologist'', ''46''(6), 726–734. https://doi.org/10.1093/geront/46.6.726

Colcombe, S., &amp; Kramer, A. F. (2003). Fitness effects on the cognitive function of older adults: A meta-analytic study. ''Psychological Science'', ''14''(2), 125–130. https://doi.org/10.1111/1467-9280.t01-1-01430

Emmons, R. A., &amp; McCullough, M. E. (2003). Counting blessings versus burdens: An experimental investigation of gratitude and subjective well-being in daily life. ''Journal of Personality and Social Psychology'', ''84''(2), 377–389. https://doi.org/10.1037/0022-3514.84.2.377

Greenfield, E. A., &amp; Marks, N. F. (2004). Formal volunteering as a protective factor for older adults' psychological well-being. ''The Journals of Gerontology Series B: Psychological Sciences and Social Sciences'', ''59''(5), S258–S264. https://doi.org/10.1093/geronb/59.5.S258

Helliwell, J. F., Layard, R., &amp; Sachs, J. (2013). World happiness report. ''United Nations Sustainable Development Solutions Network''. http://eprints.lse.ac.uk/47487/

Hultsch, D. F., Hertzog, C., Small, B. J., &amp; Dixon, R. A. (1999). Use it or lose it: Engaged lifestyle as a buffer of cognitive decline in aging? ''Psychology and Aging'', ''14''(2), 245–263. https://doi.org/10.1037/0882-7974.14.2.245

Keyes, C. L. M. (2007). Promoting and protecting mental health as flourishing: A complementary strategy for improving national mental health. ''American Psychologist'', ''62''(2), 95–108. https://doi.org/10.1037/0003-066X.62.2.95

Liu, C. J., &amp; Latham, N. K. (2009). Progressive resistance strength training for improving physical function in older adults. ''The Cochrane Database of Systematic Reviews'', (3), CD002759. https://doi.org/10.1002/14651858.CD002759.pub2

Martin, R. A., Kuiper, N. A., Olinger, L. J., &amp; Dance, K. A. (1993). Humor, coping with stress, self-concept, and psychological well-being. ''Humor-International Journal of Humor Research'', ''6''(1), 89–104. https://doi.org/10.1515/humr.1993.6.1.89

Park, D. C., &amp; Bischof, G. N. (2013). The aging mind: neuroplasticity in response to cognitive training. ''Dialogues in Clinical Neuroscience'', ''15''(1), 109–119. https://doi.org/10.31887/DCNS.2013.15.1/dpark

Park, D. C., Lautenschlager, G., Hedden, T., Davidson, N. S., Smith, A. D., &amp; Smith, P. K. (2002). Models of visuospatial and verbal memory across the adult life span. ''Psychology and Aging'', ''17''(2), 299–320. https://doi.org/10.1037/0882-7974.17.2.299

Paterson, D. H., &amp; Warburton, D. E. (2010). Physical activity and functional limitations in older adults: a systematic review related to Canada's physical activity guidelines. ''International Journal of Behavioral Nutrition and Physical Activity'', ''7''(1), 1–22. https://doi.org/10.1186/1479-5868-7-38

Peterson, C., Ruch, W., Beermann, U., Park, N., &amp; Seligman, M. E. P. (2007). Strengths of character, orientations to happiness, and life satisfaction. ''The Journal of Positive Psychology'', ''2''(3) 149–156. https://doi.org/10.1080/17439760701228938

Reid, K. J., Baron, K. G., Lu, B., Naylor, E., Wolfe, L., &amp; Zee, P. C. (2010). Aerobic exercise improves self-reported sleep and quality of life in older adults with insomnia. ''Sleep Medicine'', ''11''(9), 934–940. https://doi.org/10.1016/j.sleep.2010.04.014

Ryan, R. M., &amp; Deci, E. L. (2018). ''Self-determination theory: Basic psychological needs in motivation, development, and wellness''. The Guildford Press.

Seligman, M. E. P. (2011). ''Flourish''. William Heinnemann.

Seligman, M. E. P., Steen, T. A., Park, N., &amp; Peterson, C. (2005). Positive psychology progress: Empirical validation of interventions. ''American Psychologist'', ''60''(5), 410.  https://doi.org/10.1037/0003-066X.60.5.410

Sin, N. L., &amp; Lyubomirsky, S. (2009). Enhancing well-being and alleviating depressive symptoms with positive psychology interventions: A practice-friendly meta-analysis. ''Journal of Clinical Psychology'', ''65''(5), 467–487. https://doi.org/10.1002/jclp.20593

Southwick, S. M., &amp; Charney, D. S. (2012) The science of resilience: Implications for the prevention and treatment of depression. ''Science'', ''338''(6103), 79–82. https://doi.org/10.1126/science.1222942
}}

== External links ==
# [https://youtu.be/Is6WvYAM3gg?si=KWHkkgmP47QQDf0O 100-year olds' guide to living your best life] (Allure; YouTube)
# [https://www.bluezones.com/2016/11/power-9/ Blue zones power 9: Lifestyle habits of the world’s healthiest, longest-lived people] (bluezones.com)
# [https://ppc.sas.upenn.edu/ Positive psychology center] (University of Pennsylvania)
# [https://youtu.be/bPBJJ-lxsXA?si=f2yDgG9X6lqiw4Cp The secret to successful aging] (Cathleen Toomey; TEDx Talks)

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==Overview==
&lt;br&gt;
{{RoundBoxTop|theme=13}}
[[File:Elderly Woman, B&amp;W image by Chalmers Butterfield.jpg|thumb|157x196px|'''Figure 1'''. ''Sarah ...''. (image no longer visible after April 2025 due to Wiki Commons feedback and user request for deletion)]]
'''''Can you relate''''' ...

Sarah, aged 85, begins her day in a house echoing with memories. Faded photographs on the mantelpiece showcase her once pivotal role in the community. From hosting gatherings to being an active voice at the local council, she had always championed causes dear to her. But now, an overwhelming quietness envelops her heart, and she has lost touch with her sense of purpose.

Time has seen her closest friends move or pass away. Family visits, once frequent and filled with laughter, have become increasingly rare. This growing isolation weighs on Sarah, exacerbated by a society that seems to prioritise youth over experience. The fast-paced technological world further alienates her; smart devices and social media platforms feel foreign, exacerbating her deep-seated fear of irrelevance in a world that is rapidly evolving without her.

In a society increasingly centred on youth, how can seniors like Sarah reclaim their vitality and sense of meaning?
{{RoundBoxBottom}}
&lt;br&gt;
[[File:Elderly Couple Eating.jpg|thumb|250x250px|'''Figure 2'''. ''An elderly couple ...'' (image no longer visible after March 2026 due to Wiki Commons feedback and user request for deletion)]]

The [[wikipedia:Ageing#Successful_ageing|ageing]] population represents an invaluable repository of [[wikipedia:Wisdom|wisdom]], [[wikipedia:Experience|experience]], and [[wikipedia:Insight|insight]] (see Figure 2). Yet, many elderly individuals, much like Sarah, face challenges related to purpose, meaning, and overall psychological [[wikipedia:Well-being|well-being]]. This raises a question; can the elderly attain a state of psychological [[Motivation and emotion/Book/2018/Flourishing|flourishing]], even in the face of age-related adversities? The domain of [[wikipedia:Positive_psychology|positive psychology]] offers evidence-based strategies. Read on to explore what these strategies are and how they can be applied to support seniors in their journey toward a life filled with purpose, meaning, and joy.

Specifically, psychological flourishing in the elderly may be supported through a combination of the following four elements, especially when tailored to individual needs and preferences:

# [[wikipedia:Social_support|Social engagement]] and meaningful activities such as community involvement or [[wikipedia:Hobby#Psychological_role|hobbies]] (Helliwell et al., 2013)
# Mental stimulation via [[wikipedia:Brain_training|cognitive training]] programs can sustain mental acuity and may delay cognitive decline (Ball et al., 2002)
# [[Motivation and emotion/Book/2013/Motivating the elderly to exercise|Physical activity]] using exercises tailored to the elderly improve mood and cognitive function (Colcombe &amp; Kramer, 2003)
# Incorporating [[Motivation and emotion/Book/2020/Coping and emotion|positive coping strategies]] from positive psychology techniques, such as gratitude exercises, builds [[wikipedia:Psychological_resilience|resilience]] and satisfaction (Seligman et al., 2005)
&lt;br&gt;
{{RoundBoxTop|theme=3}}
'''Focus questions:'''
* What is psychological flourishing?
* Why is psychological flourishing important for the elderly?
* How does positive psychology foster psychological flourishing?
* What can seniors do to flourish?
{{RoundBoxBottom}}
&lt;br&gt;

== What is psychological flourishing? ==
Psychological flourishing, a term frequently linked to positive psychology, has gained prominence over the years. For elderly individuals, understanding and achieving psychological flourishing is paramount, considering the myriad challenges they confront during this stage of life (Park et al., 2002). The concept of psychological flourishing and its significance, particularly in the context of ageing, will be explored in depth. Psychological theory, such as self-determination theory and resilience theory, combine with empirical evidence to underpin the suggested four-element model. It is also essential to define and distinguish psychological flourishing from broader notions of general flourishing and well-being. Through understanding this distinction, the unique facets of flourishing and its potential impact on the lives of older individuals become evident. Common misconceptions about psychological flourishing are also addressed, ensuring clarity in subsequent discussions.

Psychological flourishing, a concept closely associated with positive psychology, has gained prominence in recent years. For elderly individuals, comprehending and attaining psychological flourishing is crucial, given the diverse challenges encountered in this life stage (Park et al., 2002). The concept of psychological flourishing and its significance, particularly in the context of ageing, will be explored in depth. Psychological theories such as self-determination theory and resilience theory, as well as empirical evidence, will be used to establish a four-element model of psychological flourishing. Additionally, it is vital to delineate psychological flourishing from broader concepts of general flourishing and well-being. By grasping these distinctions, the unique facets of flourishing and their potential transformative impacts on the lives of older individuals become evident. Common misconceptions about psychological flourishing will also be addressed to ensure clarity in the discussions that follow.

=== Definitions and distinctions ===
Psychological flourishing, often simply termed &quot;flourishing&quot;, signifies a pinnacle in human functioning. It represents a well-being state that extends beyond merely being free from distress or psychological issues. More than mere survival, flourishing connotes thriving, excelling, and feeling an intense sense of purpose and contentment (Seligman et al., 2005). This condition transcends mere happiness or the absence of mental illness (Sin &amp; Lyubomirsky, 2009). Flourishing provides a holistic view, emphasising positive human functioning across various areas, from relationships to personal growth and purpose. It captures positive emotions, a sense of engagement, strong social connections, and a profound understanding of life's meaning. Distinct from general well-being, flourishing underscores not just feeling good but also functioning effectively, accentuating both [[wikipedia:Hedonic_motivation|hedonic]] (feelings about life) and [[wikipedia:Eudaimonia|eudaimonic]] (functioning in life) well-being facets (Keyes, 2007).

Positive psychology’s well-being theory, also known as the PERMA model, conceptualises well-being as a state of comfort, health, or happiness (Seligman, 2011). The model comprises five elements: positive emotion, engagement, positive relationships, meaning, and accomplishment (Seligman, 2011). However, psychological flourishing transcends the ‘feeling good’ aspect of well-being. It encompasses optimal functioning in daily life, incorporating the key principles of self-determination theory: autonomy, relatedness, and competence.

=== Importance in the context of ageing ===
Ageing often elicits feelings of apprehension and resignation, influenced by perceptions of decline or limitation, both physically and mentally. Nevertheless, research indicates that many elderly individuals experience periods of growth, insight, and enhanced well-being. For example, the Adult Development and Enrichment Project (ADEPT), conducted by researchers at Pennsylvania State University, underscored the potential for intellectual and emotional growth even in advanced age (Hultsch et al., 1999). Psychological flourishing becomes paramount in this context, assisting the elderly in navigating challenges, capitalising on opportunities, and making meaningful contributions to their communities and personal lives, thereby maintaining their autonomy, relatedness, and competence.

Psychological flourishing challenges these notions of decline or limitation, highlighting the profound possibilities for growth, enrichment, and depth in later life (Paterson &amp; Warburton, 2010). Embracing flourishing can significantly transform the way elderly individuals perceive their later years, encouraging them to view this period as an opportunity for renewed purpose, deepened relationships, and the cultivation of new passions or interests. Furthermore, as elderly individuals inevitably face challenges, resilience theory provides a framework for developing a mindset rooted in flourishing (Southwick &amp; Charney, 2012; Bonanno et al., 2004). Such a capacity and mindset act as a solid foundation, empowering seniors to approach obstacles with resilience and poise (Seligman et al., 2005).

=== Misconceptions ===
Several misconceptions exist regarding the concept of psychological flourishing. Contrary to common belief, it does not imply a perpetual state of happiness or a life devoid of adversity. Psychological flourishing is not about the absence of negative emotions or challenges. Instead, it focuses on cultivating psychological tools and strategies to navigate adversity, empowering individuals to thrive amidst difficulties (Carstensen et al., 1999). Clarifying these misconceptions paves the way for a deeper understanding of how older individuals can achieve and maintain psychological flourishing.

To truly grasp psychological flourishing in older adults, it is crucial to debunk prevalent myths about the ageing process. If left unchallenged, these misconceptions could deter the implementation of strategies promoting well-being in later life (Carstensen et al., 1999; Charles &amp; Carstensen, 2010). Table 1 presents evidence-based counters to these myths, highlighting the potential for growth and vitality among the elderly.
{| class=&quot;wikitable&quot;
|+ Table 1. ''Dispelling Common Misconceptions about the Ageing Process''&lt;br&gt;
|-
! Myth !! Fact
|-
| Ageing leads to inevitable cognitive and emotional decline. || Ageing can offer growth opportunities with the right strategies.
|-
| Ageing means mental and physical decline. || Many older adults maintain high cognitive and physical activity levels with suitable exercises (Park et al., 2002; Hultsch et al., 1999).
|-
| Social withdrawal is an ageing inevitability. || While social circles might decrease in size, relationship quality often improves, and staying socially engaged is beneficial (Carstensen et al., 1999; Charles &amp; Carstensen, 2010).
|-
| Physical activity is risky for older adults. || Moderate physical activity improves mental and physical health in the elderly, refuting the risk myth (Paterson &amp; Warburton, 2010; Chodzko-Zajko et al., 2009).
|-
| Positive thinking is naive. || Adopting a positive mindset is empirically supported, and positive psychology boosts well-being in the elderly (Seligman et al., 2005; Sin &amp; Lyubomirsky, 2009).
|}

== Significance of psychological flourishing for the elderly ==
Psychological flourishing holds a special significance for the elderly (Seligman, 2011). As they navigate the complexities of ageing, fostering a sense of purpose, joy, and well-being is essential (Bonanno et al., 2004). The importance of psychological flourishing for older adults lies in its comprehensive contributions to their emotional, cognitive, and physical domains (Emmons &amp; McCullough, 2003; Hultsch et al., 1999). Drawing upon current research, the following discussion explores the transformative effects of a flourishing mindset.

=== Emotional benefits ===
Ageing introduces challenges that can be emotionally strenuous. However, research such as that by Peterson et al. (2007) indicates that character strengths, including love, gratitude, and hope, can significantly enhance emotional well-being. A good sense of humour provides further enhancement to emotional well-being according to research conducted by Martin et al. (1993). Flourishing ensures that the elderly possess the emotional resilience required to confront challenges, nurturing feelings of contentment and fulfilment (Bonanno et al., 2004). A senior who flourishes, for instance, might derive profound joy from meaningful relationships or experience a deep sense of gratitude for life's journey. This emotional equilibrium not only improves overall life quality but also acts as a safeguard against stress, rendering the ageing experience more rewarding (Bengtson, 2001; Carstensen et al., 1999).

=== Cognitive benefits ===
Psychological flourishing has discernible effects on cognitive function. A flourishing mind is an active one, continuously engaged in stimulating activities. Various researchers have observed that aspects like mental stimulation and engagement in activities such as walking, cycling, and sports play a role in cognitive maintenance (Bonanno et al., 2004; Emmons &amp; McCullough, 2003; Hultsch et al., 1999). Cross-sectional and retrospective studies, although lacking direct causation evidence, highlight the correlation between physical activity and cognitive function (Hultsch et al., 1999; Paterson &amp; Warburton, 2010). Moreover, character strengths such as curiosity and zest, as pinpointed by Peterson et al. (2007), equip the elderly with a passion for learning, keeping their cognitive faculties sharp and agile. It is a proactive stance against cognitive decline, ensuring that the elderly remain mentally active and engaged.

=== Impact on physical health and longevity ===
The connection between the mind and body is profound, particularly in the context of ageing. Research consistently underscores the positive effects of physical activity on functional outcomes, with an emphasis on the benefits of aerobic activities and structured exercise programs (Greenfield &amp; Marks, 2004; Paterson &amp; Warburton, 2010). Notably, regular participation in these activities is linked to decreased risks of functional impairments. Beyond the immediate physical benefits, psychological flourishing, with its focus on positive behaviours and proactive approaches, may also enhance longevity (Bengtson, 2001; Peterson et al. 2007). For example, seniors who cultivate qualities such as gratitude, as identified in studies by Peterson et al. (2007), are likely to adopt more health-promoting behaviours. This symbiotic relationship between a flourishing mind and a healthy body underscores the importance of psychological well-being in the elderly.

{{RoundBoxTop|theme=6}}
&lt;quiz display=simple&gt;
{Imagine you are chatting with a friend about the advantages of psychological flourishing in older adults. Which of the following is NOT a benefit of psychological flourishing in the elderly?
|type=&quot;()&quot;}
- Enhanced emotional resilience to confront challenges
+ Safeguard against financial issues
- Improved overall life quality
- Acts as a safeguard against stress

{A senior with a flourishing mindset might derive profound joy from meaningful relationships and experience a deep sense of gratitude for life's journey.
|type=&quot;()&quot;}
+ True
- False

{Research indicates that seniors who cultivate qualities like gratitude are more likely to:
|type=&quot;()&quot;}
- Avoid social interactions
- Abstain from any form of physical activity
+ Adopt additional health-promoting behaviours
- Experience rapid cognitive decline
&lt;/quiz&gt;
{{RoundBoxBottom}}

== The role of positive psychology ==
Positive psychology represents a rapidly growing field, concentrating on the cultivation of individual strengths, virtues, and peak human functioning, as highlighted by Seligman (2011). For elderly individuals, this approach provides a comprehensive viewpoint, tackling the intrinsic challenges associated with ageing while actively encouraging a flourishing life that extends past mere existence. Southwick and Charney's (2012) influential research underscores resilience, an essential aspect of positive psychology's resilience theory, as crucial in managing stress and trauma. This section explores relevant core principles of positive psychology that, illustrate its substantial utility in supporting psychological flourishing among seniors.

=== Foundational principles and theories ===
Positive psychology fundamentally examines the conditions and processes essential for optimal functioning, as investigated by Southwick and Charney (2012). It transforms the traditional focus on deficits and disorders, advocating instead for the amplification of strengths, positive emotions, and resilience. These elements are crucial for seniors, offering invaluable guidance through the complexities of later life. Core theoretical frameworks within this field, including resilience theory, self-determination theory, and well-being theory, shed light on various avenues available for seniors to discover meaning, purpose, and an elevated sense of well-being, even amidst the challenges life presents.

* '''Resilience theory''' in psychology delves into the complex processes that enable individuals to adapt positively in the face of adversity. Recognising resilience as a dynamic and developmental capacity, it encompasses both internal cognitive-affective mechanisms, such as emotion regulation and a robust sense of self-efficacy, and external factors like strong social support networks. This framework underscores the notion that resilience is not an innate trait; rather, it is a skill subject to cultivation. The theory also integrates the concept of post-traumatic growth, shedding light on how challenging experiences can contribute to personal development and a deeper sense of meaning in life. By considering individual differences and the developmental context, resilience theory provides a nuanced understanding of adaptive functioning, guiding interventions that aim to enhance resilience and promote positive psychological outcomes (Southwick &amp; Charney, 2012; Bonanno et al., 2004).
* '''Self-determination theory''' (SDT) stands as a prominent psychological framework elucidating the intrinsic and extrinsic factors driving human motivation and behaviour. Developed by Deci and Ryan, the theory posits that the fulfillment of three core psychological needs—autonomy, competence, and relatedness—is paramount for optimal functioning and well-being (Ryan &amp; Deci, 2018). Autonomy pertains to the sense of volition and self-governance in one’s actions, competence encompasses the need to master tasks and learn, and relatedness refers to the desire for meaningful connections and belongingness. In the context of flourishing, particularly among seniors, SDT offers valuable insights into how supportive environments and interventions can be crafted to nurture these fundamental needs. By emphasising the integral role of internal motivation and the social context in psychological well-being, SDT provides a nuanced and comprehensive understanding of the pathways leading to enhanced flourishing and life satisfaction. This theory, therefore, serves as a pivotal guide in the quest to foster resilient, connected, and self-determined lives in the elderly population.
* '''Well-being theory''', conceptualised by Martin Seligman, represents a pivotal shift in psychological thought, extending the focus from the mere alleviation of distress to the active cultivation of optimal living. Seligman (2011) introduced the PERMA model, which encapsulates five integral components of well-being: positive emotion, engagement, positive relationships, meaning, and accomplishment. Positive emotion emphasises the value of fostering joy and contentment, while engagement stresses the importance of deep absorption in activities, invoking a state of flow. Positive relationships highlight the necessity of nurturing supportive and enriching connections. Meaning pertains to pursuing a purpose larger than oneself, and accomplishment encompasses striving for mastery and achievement. For the elderly, these dimensions provide a comprehensive blueprint for flourishing, guiding interventions and practices aimed at enhancing life quality and fulfilment. Well-being theory thus stands as a foundational pillar in positive psychology, offering a nuanced and holistic understanding of the factors that contribute to a life well-lived, irrespective of one’s age.

=== Psychological functioning and its role ===
Research conducted by Southwick and Charney (2012) underscores the integral role of psychological resilience in combatting depression—a condition prevalent among the elderly (16.1% of 65+-year-old Australians in [https://www.abs.gov.au/statistics/health/health-conditions-and-risks/health-conditions-prevalence/latest-release 2020–21]). Resilience does not merely denote bouncing back from adversity but signifies thriving amidst it. The elderly, with a lifetime of experiences, possess unique strengths and coping mechanisms. By harnessing these, and understanding neurobiological and psychosocial factors, there is an avenue for improved psychological functioning, ultimately contributing to enhanced flourishing.

=== The resilience connection ===
Several studies highlight that resilience is intricately linked to genetics, environment, neurobiology, and psychosocial factors (Helliwell &amp; Sachs, 2013; Seligman, 2011; Southwick &amp; Charney, 2012). For seniors, building resilience becomes a pivotal tool in managing age-related stressors and traumas. Embracing resilience does not mean avoiding challenges but rather developing a robust toolkit to face them head-on. With strategies encompassing positive emotions, social support, coping skills, and more, resilience offers a protective layer, allowing seniors to remain buoyant in the face of life's trials.

=== Proactive approaches and interventions ===
Promoting flourishing among the elderly necessitates actionable steps grounded in empirical evidence. Southwick and Charney (2012) advocate for interventions such as modifying the biological and psychosocial environment, strengthening social support networks, enhancing cognitive engagements, and boosting physical health through aerobic exercises. It is crucial to tailor these approaches to the distinct needs of seniors, taking into account their physiological, cognitive, and socio-emotional states. When informed by positive psychology, the amalgamation of these interventions paves the way for a life marked by heightened contentment, purpose, and joy in the latter years. Figure 3 illustrates how the integration of these supportive interventions correlates with increased levels of psychological flourishing among the elderly.&lt;br&gt;

[[File:Psychological Flourishing - amalgamation model.png|center|thumb|400x400px|'''Figure 3'''. ''The cumulative impact of multiple interventions for supporting flourishing in the elderly''.]]

== What can seniors do to flourish? ==
Psychological flourishing in seniors is essential for their well-being and quality of life. This section delves into practical, evidence-based strategies derived from positive psychology to foster flourishing among the elderly. It emphasises the importance of social engagement, mental stimulation, physical activity, and positive coping techniques. Tailored to individual needs, these approaches aim to enhance purpose, joy, and meaningful connections, addressing the unique challenges faced by seniors in their pursuit of a fulfilling life.

=== Social engagement and meaningful activities ===	
[[File:Social Engagement Meaningful contribution.png|thumb|250x250px|'''Figure 4'''''.'' ''A group of seniors preparing meals for community service; socially engaged and contributing meaningfully''.]]

* Building social connections rejuvenates the spirit and enhances well-being.
* Social relationships have been found to significantly influence mental and emotional well-being in the elderly. A strong social network can reduce feelings of loneliness and depression, thereby promoting psychological flourishing (Cacioppo et al., 2006).
* Forming bonds across different age groups can be mutually beneficial and specifically aid the elderly in feeling more connected and less isolated (Bengtson, 2001).
* Engaging in community activities or volunteering (see Figure 4) has been shown to provide a sense of purpose and improve mental health outcomes for seniors (Greenfield &amp; Marks, 2004).

{| style=&quot;border: 1px solid #A0A0A0; border-radius: 12px; display: inline-table; background-color: transparent;padding-right: 20px;&quot;
|[[File:Crystal Clear app ktip.svg|left|30px|]]'''''Consider''''': When was the last time you made a new friend? What activities can help you meet new people?
:''Suggestions'': Engage in community activities, reconnect with old friends, or even consider pet ownership.&lt;br&gt;
::Establish regular family visits or calls, attend local gatherings, or join clubs focused on specific interests.
|}

[[File:Deeply engrossed in puzzle.png|thumb|317x317px|'''Figure 5'''''.'' ''An elderly woman deeply engrossed in her daily crossword puzzle; an excellent form of mental stimulation''.]]

=== Mental stimulation ===
* Continuous learning has been linked to cognitive vitality and emotional well-being (Park &amp; Bischof, 2013).
* Activities that require creativity, such as painting or music, not only stimulate the brain but also contribute to a greater sense of purpose and joy, enhancing the quality of life (Cohen et al., 2006).
* Research indicates that lifelong learning and mental stimulation can help prevent cognitive decline and improve overall psychological well-being. Older adults who engage in mentally stimulating activities (see Figure 5) report higher levels of happiness and lower levels of depression (Hultsch et al., 1999).
* More recent research underscores the notion that the ageing brain is capable of new neural connections when subjected to novel learning experiences, enhancing cognitive and emotional well-being (Park &amp; Bischof, 2013).

{| style=&quot;border: 1px solid #A0A0A0; border-radius: 12px; display: inline-table; background-color: transparent;padding-right: 20px;&quot;
|[[File:Crystal Clear app ktip.svg|left|30px|]]'''''Consider''''': Reflect on a skill you've always wanted to learn. What's stopping you now?
:''Suggestions'': Take up a new hobby, join an interesting class, or simply read a new book.&lt;br&gt;
::Explore online courses tailored for seniors or consider group-based activities to foster intellectual engagement.
|}

=== Physical activity ===
[[File:Near Parking Spaces - Great Field Coronation parkrun (52875393179).jpg|thumb|300x280px|'''Figure 6'''''.'' ''Elderly man and woman taking part in the Great Field Coronation parkrun in Poundbury, Dorchester''.]]

* Regular physical activity boosts mental health and protects against age-related ailments such as heart disease, osteoporosis, and [https://en.wikipedia.org/wiki/Sarcopenia sarcopenia] (loss of muscle mass).
* Several studies show that regular physical exercise can improve cognitive function, thereby supporting not only physical but also mental well-being (Colcombe &amp; Kramer, 2003).
* Group exercise activities like tai chi or water aerobics offer not only physical benefits but also social interaction, which can further contribute to psychological well-being (Liu &amp; Latham, 2009).
* Improved sleep through regular physical activity is correlated with better mood and mental health, providing another pathway to psychological flourishing (Reid et al., 2010).

{| style=&quot;border: 1px solid #A0A0A0; border-radius: 12px; display: inline-table; background-color: transparent;padding-right: 20px;&quot;
|[[File:Crystal Clear app ktip.svg|left|30px|]]'''''Consider''''': Reflect on a skill you've always wanted to learn. What's stopping you now?
:''Suggestions'': Incorporate simple exercises into your daily routine, such as
::walking, yoga, or dancing, or consider joining a senior-friendly exercise group.&lt;br&gt;
:''Please note:'' Always consult your healthcare professional before starting any new exercise regimen.
|}

[[File:Meditating man-solo.png|thumb|317x317px|'''Figure 7'''''.'' ''An elderly man practicing guided meditation; an excellent positive coping strategy''.]]

=== Positive coping strategies ===
* Develop resilience against challenges by adopting positive coping mechanisms such as meditation (see Figure 7), relaxation techniques, and engaging in spirituality.
* Positive psychology interventions focus on strengths and virtues and have shown efficacy in improving well-being and reducing depressive symptoms in older adults (Seligman et al., 2005).
* Incorporating gratitude into daily routines has been associated with positive emotional states, greater well-being, and better physical health in older adults (Emmons &amp; McCullough, 2003).
* Utilising humor is shown to not only uplift mood but also serve as an effective coping strategy for stress and life challenges. This is particularly relevant for elderly individuals who may face various forms of age-related adversity (Martin et al., 1993).

{| style=&quot;border: 1px solid #A0A0A0; border-radius: 12px; display: inline-table; background-color: transparent;padding-right: 20px;&quot;
|[[File:Crystal Clear app ktip.svg|left|30px|]]'''''Consider''''': Reflect on a past challenge. How did you cope? How can you refine this strategy?
:''Suggestions'': Embrace activities that foster mindfulness and reflection, such as
::meditation, gratitude journaling, or joining a support group.&lt;br&gt;
|}

{{RoundBoxTop|theme=13}}
[[File:Elderly man-zest for life-mentoring.png|thumb|327x182px|'''Figure 8'''. ''John rediscovered his zest for life through mentoring teenagers, a program organised by his local APEX club''.]]
'''''Can you relate''''' ...

John, at 80, often sat in his armchair, lost in memories of youthful adventures. He believed his golden years had long passed, with each day echoing the sentiments of a vibrant past. Collecting his mail one day, a flyer for the local book club caught his attention, hinting at a promise of engaging discussions. Deciding to join, John discovered that the club was more than just about books; it was a community bridging generational gaps through shared stories.

A young woman from the group, impressed by John's vast life experiences, introduced him to a mentoring program hosted by the local [[w:Apex Clubs of Australia|APEX]] club. Through mentoring, John shared his life lessons, offering wisdom and guidance to the younger generation. This exchange rekindled his understanding of the value of his own journey. Far from feeling that his best years were behind him, the interactions brought about a renewed sense of purpose (see Figure 8). Through the book club and mentoring, John not only found a revived passion for literature but also tapped into a deeper zest for life, seeing his age not as a limitation but as a testament to a life rich with experiences.
{{RoundBoxBottom}}

==Conclusion==
Ageing, despite its inherent challenges, can still be a period rich in growth, connection, and profound meaning. By integrating the principles of positive psychology with tailored interventions, an environment conducive to psychological flourishing in the elderly can be cultivated. Foundational theories such as resilience theory, self-determination theory, and well-being theory offer a robust framework for understanding and nurturing the various facets of flourishing.

Translating these theories into practical strategies and interventions empowers seniors to gracefully navigate the complexities of ageing, maintaining resilience and a sustained sense of well-being. Supporting flourishing in the elderly necessitates a commitment to social engagement, enhancing emotional well-being; continuous mental stimulation, promoting cognitive vitality; regular physical activity, supporting both physical and mental health; and the adoption of positive coping strategies to foster resilience. These strategies not only enhance their quality of life but also contribute positively to the broader community, as the elderly impart their wisdom, experience, and emotional stability.

Furthermore, dispelling misconceptions surrounding ageing and psychological flourishing is paramount. Challenging societal stereotypes and adopting a holistic view of ageing is essential, acknowledging the potential for growth, development, and fulfilment in this life stage.

In conclusion, supporting psychological flourishing in the elderly is a multifaceted endeavour. It demands a collaborative effort from individuals, communities, and society at large, aiming to create environments that nurture the emotional, cognitive, and physical aspects of well-being. In doing so, the invaluable contributions of the elderly are honoured, fostering a culture of respect, appreciation, and comprehensive support, ensuring that the senior years are indeed filled with growth, connection, and a profound sense of purpose.

==See also==
# [[Motivation and emotion/Book/2014/Ageing and emotion|Ageing and emotion]] (Book chapter, 2014)
# [[Motivation and emotion/Book/2023/Ageing and motivation|Ageing and motivation]] (Book chapter, 2023)
# [[Motivation and emotion/Book/2023/Nudge_theory_and_sedentary_behaviour|Nudge theory and sedentary behaviour]] (Book chapter, 2023)
# [[wikipedia:Self-determination_theory|Self-determination theory]] (Wikipedia)
# [[Motivation and emotion/Book/2023/Death_and_meaning_in_life|Death and meaning in life]] (Book chapter, 2023)
# [[Motivation and emotion/Book/2023/Community_resilience|Community resilience]] (Book chapter, 2023)

== References ==
{{Hanging indent|1=

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Cacioppo, J. T., Hughes, M. E., Waite, L. J., Hawkley, L. C., &amp; Thisted, R. A. (2006). Loneliness as a specific risk factor for depressive symptoms: Cross-sectional and longitudinal analyses. ''Psychology and Aging'', ''21''(1), 140–151. https://doi.org/10.1037/0882-7974.21.1.140

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Keyes, C. L. M. (2007). Promoting and protecting mental health as flourishing: A complementary strategy for improving national mental health. ''American Psychologist'', ''62''(2), 95–108. https://doi.org/10.1037/0003-066X.62.2.95

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Martin, R. A., Kuiper, N. A., Olinger, L. J., &amp; Dance, K. A. (1993). Humor, coping with stress, self-concept, and psychological well-being. ''Humor-International Journal of Humor Research'', ''6''(1), 89–104. https://doi.org/10.1515/humr.1993.6.1.89

Park, D. C., &amp; Bischof, G. N. (2013). The aging mind: neuroplasticity in response to cognitive training. ''Dialogues in Clinical Neuroscience'', ''15''(1), 109–119. https://doi.org/10.31887/DCNS.2013.15.1/dpark

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Peterson, C., Ruch, W., Beermann, U., Park, N., &amp; Seligman, M. E. P. (2007). Strengths of character, orientations to happiness, and life satisfaction. ''The Journal of Positive Psychology'', ''2''(3) 149–156. https://doi.org/10.1080/17439760701228938

Reid, K. J., Baron, K. G., Lu, B., Naylor, E., Wolfe, L., &amp; Zee, P. C. (2010). Aerobic exercise improves self-reported sleep and quality of life in older adults with insomnia. ''Sleep Medicine'', ''11''(9), 934–940. https://doi.org/10.1016/j.sleep.2010.04.014

Ryan, R. M., &amp; Deci, E. L. (2018). ''Self-determination theory: Basic psychological needs in motivation, development, and wellness''. The Guildford Press.

Seligman, M. E. P. (2011). ''Flourish''. William Heinnemann.

Seligman, M. E. P., Steen, T. A., Park, N., &amp; Peterson, C. (2005). Positive psychology progress: Empirical validation of interventions. ''American Psychologist'', ''60''(5), 410.  https://doi.org/10.1037/0003-066X.60.5.410

Sin, N. L., &amp; Lyubomirsky, S. (2009). Enhancing well-being and alleviating depressive symptoms with positive psychology interventions: A practice-friendly meta-analysis. ''Journal of Clinical Psychology'', ''65''(5), 467–487. https://doi.org/10.1002/jclp.20593

Southwick, S. M., &amp; Charney, D. S. (2012) The science of resilience: Implications for the prevention and treatment of depression. ''Science'', ''338''(6103), 79–82. https://doi.org/10.1126/science.1222942
}}

== External links ==
# [https://youtu.be/Is6WvYAM3gg?si=KWHkkgmP47QQDf0O 100-year olds' guide to living your best life] (Allure; YouTube)
# [https://www.bluezones.com/2016/11/power-9/ Blue zones power 9: Lifestyle habits of the world’s healthiest, longest-lived people] (bluezones.com)
# [https://ppc.sas.upenn.edu/ Positive psychology center] (University of Pennsylvania)
# [https://youtu.be/bPBJJ-lxsXA?si=f2yDgG9X6lqiw4Cp The secret to successful aging] (Cathleen Toomey; TEDx Talks)

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      <text bytes="40465" sha1="nzck9tgnopgd12jr03khwd1oxoo12o1" xml:space="preserve">{{title|Flourishing in the elderly:&lt;br&gt;How can psychological flourishing be supported in the elderly?}}
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==Overview==
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[[File:Elderly Woman, B&amp;W image by Chalmers Butterfield.jpg|thumb|157x196px|'''Figure 1'''. ''Sarah ...''. (image no longer visible after April 2025 due to Wiki Commons feedback and user request for deletion)]]
'''''Can you relate''''' ...

Sarah, aged 85, begins her day in a house echoing with memories. Faded photographs on the mantelpiece showcase her once pivotal role in the community. From hosting gatherings to being an active voice at the local council, she had always championed causes dear to her. But now, an overwhelming quietness envelops her heart, and she has lost touch with her sense of purpose.

Time has seen her closest friends move or pass away. Family visits, once frequent and filled with laughter, have become increasingly rare. This growing isolation weighs on Sarah, exacerbated by a society that seems to prioritise youth over experience. The fast-paced technological world further alienates her; smart devices and social media platforms feel foreign, exacerbating her deep-seated fear of irrelevance in a world that is rapidly evolving without her.

In a society increasingly centred on youth, how can seniors like Sarah reclaim their vitality and sense of meaning?
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&lt;br&gt;
[[File:Elderly Couple Eating.jpg|thumb|250x250px|'''Figure 2'''. ''An elderly couple ...'' (image no longer visible after March 2026 due to Wiki Commons feedback and user request for deletion)]]

The [[wikipedia:Ageing#Successful_ageing|ageing]] population represents an invaluable repository of [[wikipedia:Wisdom|wisdom]], [[wikipedia:Experience|experience]], and [[wikipedia:Insight|insight]] (see Figure 2). Yet, many elderly individuals, much like Sarah, face challenges related to purpose, meaning, and overall psychological [[wikipedia:Well-being|well-being]]. This raises a question; can the elderly attain a state of psychological [[Motivation and emotion/Book/2018/Flourishing|flourishing]], even in the face of age-related adversities? The domain of [[wikipedia:Positive_psychology|positive psychology]] offers evidence-based strategies. Read on to explore what these strategies are and how they can be applied to support seniors in their journey toward a life filled with purpose, meaning, and joy.

Specifically, psychological flourishing in the elderly may be supported through a combination of the following four elements, especially when tailored to individual needs and preferences:

# [[wikipedia:Social_support|Social engagement]] and meaningful activities such as community involvement or [[wikipedia:Hobby#Psychological_role|hobbies]] (Helliwell et al., 2013)
# Mental stimulation via [[wikipedia:Brain_training|cognitive training]] programs can sustain mental acuity and may delay cognitive decline (Ball et al., 2002)
# [[Motivation and emotion/Book/2013/Motivating the elderly to exercise|Physical activity]] using exercises tailored to the elderly improve mood and cognitive function (Colcombe &amp; Kramer, 2003)
# Incorporating [[Motivation and emotion/Book/2020/Coping and emotion|positive coping strategies]] from positive psychology techniques, such as gratitude exercises, builds [[wikipedia:Psychological_resilience|resilience]] and satisfaction (Seligman et al., 2005)
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'''Focus questions:'''
* What is psychological flourishing?
* Why is psychological flourishing important for the elderly?
* How does positive psychology foster psychological flourishing?
* What can seniors do to flourish?
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&lt;br&gt;

== What is psychological flourishing? ==
Psychological flourishing, a term frequently linked to positive psychology, has gained prominence over the years. For elderly individuals, understanding and achieving psychological flourishing is paramount, considering the myriad challenges they confront during this stage of life (Park et al., 2002). The concept of psychological flourishing and its significance, particularly in the context of ageing, will be explored in depth. Psychological theory, such as self-determination theory and resilience theory, combine with empirical evidence to underpin the suggested four-element model. It is also essential to define and distinguish psychological flourishing from broader notions of general flourishing and well-being. Through understanding this distinction, the unique facets of flourishing and its potential impact on the lives of older individuals become evident. Common misconceptions about psychological flourishing are also addressed, ensuring clarity in subsequent discussions.

Psychological flourishing, a concept closely associated with positive psychology, has gained prominence in recent years. For elderly individuals, comprehending and attaining psychological flourishing is crucial, given the diverse challenges encountered in this life stage (Park et al., 2002). The concept of psychological flourishing and its significance, particularly in the context of ageing, will be explored in depth. Psychological theories such as self-determination theory and resilience theory, as well as empirical evidence, will be used to establish a four-element model of psychological flourishing. Additionally, it is vital to delineate psychological flourishing from broader concepts of general flourishing and well-being. By grasping these distinctions, the unique facets of flourishing and their potential transformative impacts on the lives of older individuals become evident. Common misconceptions about psychological flourishing will also be addressed to ensure clarity in the discussions that follow.

=== Definitions and distinctions ===
Psychological flourishing, often simply termed &quot;flourishing&quot;, signifies a pinnacle in human functioning. It represents a well-being state that extends beyond merely being free from distress or psychological issues. More than mere survival, flourishing connotes thriving, excelling, and feeling an intense sense of purpose and contentment (Seligman et al., 2005). This condition transcends mere happiness or the absence of mental illness (Sin &amp; Lyubomirsky, 2009). Flourishing provides a holistic view, emphasising positive human functioning across various areas, from relationships to personal growth and purpose. It captures positive emotions, a sense of engagement, strong social connections, and a profound understanding of life's meaning. Distinct from general well-being, flourishing underscores not just feeling good but also functioning effectively, accentuating both [[wikipedia:Hedonic_motivation|hedonic]] (feelings about life) and [[wikipedia:Eudaimonia|eudaimonic]] (functioning in life) well-being facets (Keyes, 2007).

Positive psychology’s well-being theory, also known as the PERMA model, conceptualises well-being as a state of comfort, health, or happiness (Seligman, 2011). The model comprises five elements: positive emotion, engagement, positive relationships, meaning, and accomplishment (Seligman, 2011). However, psychological flourishing transcends the ‘feeling good’ aspect of well-being. It encompasses optimal functioning in daily life, incorporating the key principles of self-determination theory: autonomy, relatedness, and competence.

=== Importance in the context of ageing ===
Ageing often elicits feelings of apprehension and resignation, influenced by perceptions of decline or limitation, both physically and mentally. Nevertheless, research indicates that many elderly individuals experience periods of growth, insight, and enhanced well-being. For example, the Adult Development and Enrichment Project (ADEPT), conducted by researchers at Pennsylvania State University, underscored the potential for intellectual and emotional growth even in advanced age (Hultsch et al., 1999). Psychological flourishing becomes paramount in this context, assisting the elderly in navigating challenges, capitalising on opportunities, and making meaningful contributions to their communities and personal lives, thereby maintaining their autonomy, relatedness, and competence.

Psychological flourishing challenges these notions of decline or limitation, highlighting the profound possibilities for growth, enrichment, and depth in later life (Paterson &amp; Warburton, 2010). Embracing flourishing can significantly transform the way elderly individuals perceive their later years, encouraging them to view this period as an opportunity for renewed purpose, deepened relationships, and the cultivation of new passions or interests. Furthermore, as elderly individuals inevitably face challenges, resilience theory provides a framework for developing a mindset rooted in flourishing (Southwick &amp; Charney, 2012; Bonanno et al., 2004). Such a capacity and mindset act as a solid foundation, empowering seniors to approach obstacles with resilience and poise (Seligman et al., 2005).

=== Misconceptions ===
Several misconceptions exist regarding the concept of psychological flourishing. Contrary to common belief, it does not imply a perpetual state of happiness or a life devoid of adversity. Psychological flourishing is not about the absence of negative emotions or challenges. Instead, it focuses on cultivating psychological tools and strategies to navigate adversity, empowering individuals to thrive amidst difficulties (Carstensen et al., 1999). Clarifying these misconceptions paves the way for a deeper understanding of how older individuals can achieve and maintain psychological flourishing.

To truly grasp psychological flourishing in older adults, it is crucial to debunk prevalent myths about the ageing process. If left unchallenged, these misconceptions could deter the implementation of strategies promoting well-being in later life (Carstensen et al., 1999; Charles &amp; Carstensen, 2010). Table 1 presents evidence-based counters to these myths, highlighting the potential for growth and vitality among the elderly.
{| class=&quot;wikitable&quot;
|+ Table 1. ''Dispelling Common Misconceptions about the Ageing Process''&lt;br&gt;
|-
! Myth !! Fact
|-
| Ageing leads to inevitable cognitive and emotional decline. || Ageing can offer growth opportunities with the right strategies.
|-
| Ageing means mental and physical decline. || Many older adults maintain high cognitive and physical activity levels with suitable exercises (Park et al., 2002; Hultsch et al., 1999).
|-
| Social withdrawal is an ageing inevitability. || While social circles might decrease in size, relationship quality often improves, and staying socially engaged is beneficial (Carstensen et al., 1999; Charles &amp; Carstensen, 2010).
|-
| Physical activity is risky for older adults. || Moderate physical activity improves mental and physical health in the elderly, refuting the risk myth (Paterson &amp; Warburton, 2010; Chodzko-Zajko et al., 2009).
|-
| Positive thinking is naive. || Adopting a positive mindset is empirically supported, and positive psychology boosts well-being in the elderly (Seligman et al., 2005; Sin &amp; Lyubomirsky, 2009).
|}

== Significance of psychological flourishing for the elderly ==
Psychological flourishing holds a special significance for the elderly (Seligman, 2011). As they navigate the complexities of ageing, fostering a sense of purpose, joy, and well-being is essential (Bonanno et al., 2004). The importance of psychological flourishing for older adults lies in its comprehensive contributions to their emotional, cognitive, and physical domains (Emmons &amp; McCullough, 2003; Hultsch et al., 1999). Drawing upon current research, the following discussion explores the transformative effects of a flourishing mindset.

=== Emotional benefits ===
Ageing introduces challenges that can be emotionally strenuous. However, research such as that by Peterson et al. (2007) indicates that character strengths, including love, gratitude, and hope, can significantly enhance emotional well-being. A good sense of humour provides further enhancement to emotional well-being according to research conducted by Martin et al. (1993). Flourishing ensures that the elderly possess the emotional resilience required to confront challenges, nurturing feelings of contentment and fulfilment (Bonanno et al., 2004). A senior who flourishes, for instance, might derive profound joy from meaningful relationships or experience a deep sense of gratitude for life's journey. This emotional equilibrium not only improves overall life quality but also acts as a safeguard against stress, rendering the ageing experience more rewarding (Bengtson, 2001; Carstensen et al., 1999).

=== Cognitive benefits ===
Psychological flourishing has discernible effects on cognitive function. A flourishing mind is an active one, continuously engaged in stimulating activities. Various researchers have observed that aspects like mental stimulation and engagement in activities such as walking, cycling, and sports play a role in cognitive maintenance (Bonanno et al., 2004; Emmons &amp; McCullough, 2003; Hultsch et al., 1999). Cross-sectional and retrospective studies, although lacking direct causation evidence, highlight the correlation between physical activity and cognitive function (Hultsch et al., 1999; Paterson &amp; Warburton, 2010). Moreover, character strengths such as curiosity and zest, as pinpointed by Peterson et al. (2007), equip the elderly with a passion for learning, keeping their cognitive faculties sharp and agile. It is a proactive stance against cognitive decline, ensuring that the elderly remain mentally active and engaged.

=== Impact on physical health and longevity ===
The connection between the mind and body is profound, particularly in the context of ageing. Research consistently underscores the positive effects of physical activity on functional outcomes, with an emphasis on the benefits of aerobic activities and structured exercise programs (Greenfield &amp; Marks, 2004; Paterson &amp; Warburton, 2010). Notably, regular participation in these activities is linked to decreased risks of functional impairments. Beyond the immediate physical benefits, psychological flourishing, with its focus on positive behaviours and proactive approaches, may also enhance longevity (Bengtson, 2001; Peterson et al. 2007). For example, seniors who cultivate qualities such as gratitude, as identified in studies by Peterson et al. (2007), are likely to adopt more health-promoting behaviours. This symbiotic relationship between a flourishing mind and a healthy body underscores the importance of psychological well-being in the elderly.

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&lt;quiz display=simple&gt;
{Imagine you are chatting with a friend about the advantages of psychological flourishing in older adults. Which of the following is NOT a benefit of psychological flourishing in the elderly?
|type=&quot;()&quot;}
- Enhanced emotional resilience to confront challenges
+ Safeguard against financial issues
- Improved overall life quality
- Acts as a safeguard against stress

{A senior with a flourishing mindset might derive profound joy from meaningful relationships and experience a deep sense of gratitude for life's journey.
|type=&quot;()&quot;}
+ True
- False

{Research indicates that seniors who cultivate qualities like gratitude are more likely to:
|type=&quot;()&quot;}
- Avoid social interactions
- Abstain from any form of physical activity
+ Adopt additional health-promoting behaviours
- Experience rapid cognitive decline
&lt;/quiz&gt;
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== The role of positive psychology ==
Positive psychology represents a rapidly growing field, concentrating on the cultivation of individual strengths, virtues, and peak human functioning, as highlighted by Seligman (2011). For elderly individuals, this approach provides a comprehensive viewpoint, tackling the intrinsic challenges associated with ageing while actively encouraging a flourishing life that extends past mere existence. Southwick and Charney's (2012) influential research underscores resilience, an essential aspect of positive psychology's resilience theory, as crucial in managing stress and trauma. This section explores relevant core principles of positive psychology that, illustrate its substantial utility in supporting psychological flourishing among seniors.

=== Foundational principles and theories ===
Positive psychology fundamentally examines the conditions and processes essential for optimal functioning, as investigated by Southwick and Charney (2012). It transforms the traditional focus on deficits and disorders, advocating instead for the amplification of strengths, positive emotions, and resilience. These elements are crucial for seniors, offering invaluable guidance through the complexities of later life. Core theoretical frameworks within this field, including resilience theory, self-determination theory, and well-being theory, shed light on various avenues available for seniors to discover meaning, purpose, and an elevated sense of well-being, even amidst the challenges life presents.

* '''Resilience theory''' in psychology delves into the complex processes that enable individuals to adapt positively in the face of adversity. Recognising resilience as a dynamic and developmental capacity, it encompasses both internal cognitive-affective mechanisms, such as emotion regulation and a robust sense of self-efficacy, and external factors like strong social support networks. This framework underscores the notion that resilience is not an innate trait; rather, it is a skill subject to cultivation. The theory also integrates the concept of post-traumatic growth, shedding light on how challenging experiences can contribute to personal development and a deeper sense of meaning in life. By considering individual differences and the developmental context, resilience theory provides a nuanced understanding of adaptive functioning, guiding interventions that aim to enhance resilience and promote positive psychological outcomes (Southwick &amp; Charney, 2012; Bonanno et al., 2004).
* '''Self-determination theory''' (SDT) stands as a prominent psychological framework elucidating the intrinsic and extrinsic factors driving human motivation and behaviour. Developed by Deci and Ryan, the theory posits that the fulfillment of three core psychological needs—autonomy, competence, and relatedness—is paramount for optimal functioning and well-being (Ryan &amp; Deci, 2018). Autonomy pertains to the sense of volition and self-governance in one’s actions, competence encompasses the need to master tasks and learn, and relatedness refers to the desire for meaningful connections and belongingness. In the context of flourishing, particularly among seniors, SDT offers valuable insights into how supportive environments and interventions can be crafted to nurture these fundamental needs. By emphasising the integral role of internal motivation and the social context in psychological well-being, SDT provides a nuanced and comprehensive understanding of the pathways leading to enhanced flourishing and life satisfaction. This theory, therefore, serves as a pivotal guide in the quest to foster resilient, connected, and self-determined lives in the elderly population.
* '''Well-being theory''', conceptualised by Martin Seligman, represents a pivotal shift in psychological thought, extending the focus from the mere alleviation of distress to the active cultivation of optimal living. Seligman (2011) introduced the PERMA model, which encapsulates five integral components of well-being: positive emotion, engagement, positive relationships, meaning, and accomplishment. Positive emotion emphasises the value of fostering joy and contentment, while engagement stresses the importance of deep absorption in activities, invoking a state of flow. Positive relationships highlight the necessity of nurturing supportive and enriching connections. Meaning pertains to pursuing a purpose larger than oneself, and accomplishment encompasses striving for mastery and achievement. For the elderly, these dimensions provide a comprehensive blueprint for flourishing, guiding interventions and practices aimed at enhancing life quality and fulfilment. Well-being theory thus stands as a foundational pillar in positive psychology, offering a nuanced and holistic understanding of the factors that contribute to a life well-lived, irrespective of one’s age.

=== Psychological functioning and its role ===
Research conducted by Southwick and Charney (2012) underscores the integral role of psychological resilience in combatting depression—a condition prevalent among the elderly (16.1% of 65+-year-old Australians in [https://www.abs.gov.au/statistics/health/health-conditions-and-risks/health-conditions-prevalence/latest-release 2020–21]). Resilience does not merely denote bouncing back from adversity but signifies thriving amidst it. The elderly, with a lifetime of experiences, possess unique strengths and coping mechanisms. By harnessing these, and understanding neurobiological and psychosocial factors, there is an avenue for improved psychological functioning, ultimately contributing to enhanced flourishing.

=== The resilience connection ===
Several studies highlight that resilience is intricately linked to genetics, environment, neurobiology, and psychosocial factors (Helliwell &amp; Sachs, 2013; Seligman, 2011; Southwick &amp; Charney, 2012). For seniors, building resilience becomes a pivotal tool in managing age-related stressors and traumas. Embracing resilience does not mean avoiding challenges but rather developing a robust toolkit to face them head-on. With strategies encompassing positive emotions, social support, coping skills, and more, resilience offers a protective layer, allowing seniors to remain buoyant in the face of life's trials.

=== Proactive approaches and interventions ===
Promoting flourishing among the elderly necessitates actionable steps grounded in empirical evidence. Southwick and Charney (2012) advocate for interventions such as modifying the biological and psychosocial environment, strengthening social support networks, enhancing cognitive engagements, and boosting physical health through aerobic exercises. It is crucial to tailor these approaches to the distinct needs of seniors, taking into account their physiological, cognitive, and socio-emotional states. When informed by positive psychology, the amalgamation of these interventions paves the way for a life marked by heightened contentment, purpose, and joy in the latter years. Figure 3 illustrates how the integration of these supportive interventions correlates with increased levels of psychological flourishing among the elderly.&lt;br&gt;

[[File:Psychological Flourishing - amalgamation model.png|center|thumb|400x400px|'''Figure 3'''. ''The cumulative impact of multiple interventions for supporting flourishing in the elderly''.]]

== What can seniors do to flourish? ==
Psychological flourishing in seniors is essential for their well-being and quality of life. This section delves into practical, evidence-based strategies derived from positive psychology to foster flourishing among the elderly. It emphasises the importance of social engagement, mental stimulation, physical activity, and positive coping techniques. Tailored to individual needs, these approaches aim to enhance purpose, joy, and meaningful connections, addressing the unique challenges faced by seniors in their pursuit of a fulfilling life.

=== Social engagement and meaningful activities ===	
[[File:Czech Senior Citizen's day 2019, showcase of Senior Citizens Writing Wikipedia project.jpg |thumb|250x250px|'''Figure 4'''''.'' 'Czech seniors participating in the Senior Citizens Writing Wikipedia project''.]]

* Building social connections rejuvenates the spirit and enhances well-being.
* Social relationships have been found to significantly influence mental and emotional well-being in the elderly. A strong social network can reduce feelings of loneliness and depression, thereby promoting psychological flourishing (Cacioppo et al., 2006).
* Forming bonds across different age groups can be mutually beneficial and specifically aid the elderly in feeling more connected and less isolated (Bengtson, 2001).
* Engaging in community activities or volunteering (see Figure 4) has been shown to provide a sense of purpose and improve mental health outcomes for seniors (Greenfield &amp; Marks, 2004).

{| style=&quot;border: 1px solid #A0A0A0; border-radius: 12px; display: inline-table; background-color: transparent;padding-right: 20px;&quot;
|[[File:Crystal Clear app ktip.svg|left|30px|]]'''''Consider''''': When was the last time you made a new friend? What activities can help you meet new people?
:''Suggestions'': Engage in community activities, reconnect with old friends, or even consider pet ownership.&lt;br&gt;
::Establish regular family visits or calls, attend local gatherings, or join clubs focused on specific interests.
|}

[[File:Deeply engrossed in puzzle.png|thumb|317x317px|'''Figure 5'''''.'' ''An elderly woman deeply engrossed in her daily crossword puzzle; an excellent form of mental stimulation''.]]

=== Mental stimulation ===
* Continuous learning has been linked to cognitive vitality and emotional well-being (Park &amp; Bischof, 2013).
* Activities that require creativity, such as painting or music, not only stimulate the brain but also contribute to a greater sense of purpose and joy, enhancing the quality of life (Cohen et al., 2006).
* Research indicates that lifelong learning and mental stimulation can help prevent cognitive decline and improve overall psychological well-being. Older adults who engage in mentally stimulating activities (see Figure 5) report higher levels of happiness and lower levels of depression (Hultsch et al., 1999).
* More recent research underscores the notion that the ageing brain is capable of new neural connections when subjected to novel learning experiences, enhancing cognitive and emotional well-being (Park &amp; Bischof, 2013).

{| style=&quot;border: 1px solid #A0A0A0; border-radius: 12px; display: inline-table; background-color: transparent;padding-right: 20px;&quot;
|[[File:Crystal Clear app ktip.svg|left|30px|]]'''''Consider''''': Reflect on a skill you've always wanted to learn. What's stopping you now?
:''Suggestions'': Take up a new hobby, join an interesting class, or simply read a new book.&lt;br&gt;
::Explore online courses tailored for seniors or consider group-based activities to foster intellectual engagement.
|}

=== Physical activity ===
[[File:Near Parking Spaces - Great Field Coronation parkrun (52875393179).jpg|thumb|300x280px|'''Figure 6'''''.'' ''Elderly man and woman taking part in the Great Field Coronation parkrun in Poundbury, Dorchester''.]]

* Regular physical activity boosts mental health and protects against age-related ailments such as heart disease, osteoporosis, and [https://en.wikipedia.org/wiki/Sarcopenia sarcopenia] (loss of muscle mass).
* Several studies show that regular physical exercise can improve cognitive function, thereby supporting not only physical but also mental well-being (Colcombe &amp; Kramer, 2003).
* Group exercise activities like tai chi or water aerobics offer not only physical benefits but also social interaction, which can further contribute to psychological well-being (Liu &amp; Latham, 2009).
* Improved sleep through regular physical activity is correlated with better mood and mental health, providing another pathway to psychological flourishing (Reid et al., 2010).

{| style=&quot;border: 1px solid #A0A0A0; border-radius: 12px; display: inline-table; background-color: transparent;padding-right: 20px;&quot;
|[[File:Crystal Clear app ktip.svg|left|30px|]]'''''Consider''''': Reflect on a skill you've always wanted to learn. What's stopping you now?
:''Suggestions'': Incorporate simple exercises into your daily routine, such as
::walking, yoga, or dancing, or consider joining a senior-friendly exercise group.&lt;br&gt;
:''Please note:'' Always consult your healthcare professional before starting any new exercise regimen.
|}

[[File:Meditating man-solo.png|thumb|317x317px|'''Figure 7'''''.'' ''An elderly man practicing guided meditation; an excellent positive coping strategy''.]]

=== Positive coping strategies ===
* Develop resilience against challenges by adopting positive coping mechanisms such as meditation (see Figure 7), relaxation techniques, and engaging in spirituality.
* Positive psychology interventions focus on strengths and virtues and have shown efficacy in improving well-being and reducing depressive symptoms in older adults (Seligman et al., 2005).
* Incorporating gratitude into daily routines has been associated with positive emotional states, greater well-being, and better physical health in older adults (Emmons &amp; McCullough, 2003).
* Utilising humor is shown to not only uplift mood but also serve as an effective coping strategy for stress and life challenges. This is particularly relevant for elderly individuals who may face various forms of age-related adversity (Martin et al., 1993).

{| style=&quot;border: 1px solid #A0A0A0; border-radius: 12px; display: inline-table; background-color: transparent;padding-right: 20px;&quot;
|[[File:Crystal Clear app ktip.svg|left|30px|]]'''''Consider''''': Reflect on a past challenge. How did you cope? How can you refine this strategy?
:''Suggestions'': Embrace activities that foster mindfulness and reflection, such as
::meditation, gratitude journaling, or joining a support group.&lt;br&gt;
|}

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[[File:Elderly man-zest for life-mentoring.png|thumb|327x182px|'''Figure 8'''. ''John rediscovered his zest for life through mentoring teenagers, a program organised by his local APEX club''.]]
'''''Can you relate''''' ...

John, at 80, often sat in his armchair, lost in memories of youthful adventures. He believed his golden years had long passed, with each day echoing the sentiments of a vibrant past. Collecting his mail one day, a flyer for the local book club caught his attention, hinting at a promise of engaging discussions. Deciding to join, John discovered that the club was more than just about books; it was a community bridging generational gaps through shared stories.

A young woman from the group, impressed by John's vast life experiences, introduced him to a mentoring program hosted by the local [[w:Apex Clubs of Australia|APEX]] club. Through mentoring, John shared his life lessons, offering wisdom and guidance to the younger generation. This exchange rekindled his understanding of the value of his own journey. Far from feeling that his best years were behind him, the interactions brought about a renewed sense of purpose (see Figure 8). Through the book club and mentoring, John not only found a revived passion for literature but also tapped into a deeper zest for life, seeing his age not as a limitation but as a testament to a life rich with experiences.
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==Conclusion==
Ageing, despite its inherent challenges, can still be a period rich in growth, connection, and profound meaning. By integrating the principles of positive psychology with tailored interventions, an environment conducive to psychological flourishing in the elderly can be cultivated. Foundational theories such as resilience theory, self-determination theory, and well-being theory offer a robust framework for understanding and nurturing the various facets of flourishing.

Translating these theories into practical strategies and interventions empowers seniors to gracefully navigate the complexities of ageing, maintaining resilience and a sustained sense of well-being. Supporting flourishing in the elderly necessitates a commitment to social engagement, enhancing emotional well-being; continuous mental stimulation, promoting cognitive vitality; regular physical activity, supporting both physical and mental health; and the adoption of positive coping strategies to foster resilience. These strategies not only enhance their quality of life but also contribute positively to the broader community, as the elderly impart their wisdom, experience, and emotional stability.

Furthermore, dispelling misconceptions surrounding ageing and psychological flourishing is paramount. Challenging societal stereotypes and adopting a holistic view of ageing is essential, acknowledging the potential for growth, development, and fulfilment in this life stage.

In conclusion, supporting psychological flourishing in the elderly is a multifaceted endeavour. It demands a collaborative effort from individuals, communities, and society at large, aiming to create environments that nurture the emotional, cognitive, and physical aspects of well-being. In doing so, the invaluable contributions of the elderly are honoured, fostering a culture of respect, appreciation, and comprehensive support, ensuring that the senior years are indeed filled with growth, connection, and a profound sense of purpose.

==See also==
# [[Motivation and emotion/Book/2014/Ageing and emotion|Ageing and emotion]] (Book chapter, 2014)
# [[Motivation and emotion/Book/2023/Ageing and motivation|Ageing and motivation]] (Book chapter, 2023)
# [[Motivation and emotion/Book/2023/Nudge_theory_and_sedentary_behaviour|Nudge theory and sedentary behaviour]] (Book chapter, 2023)
# [[wikipedia:Self-determination_theory|Self-determination theory]] (Wikipedia)
# [[Motivation and emotion/Book/2023/Death_and_meaning_in_life|Death and meaning in life]] (Book chapter, 2023)
# [[Motivation and emotion/Book/2023/Community_resilience|Community resilience]] (Book chapter, 2023)

== References ==
{{Hanging indent|1=

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Bengtson, V. L. (2001). Beyond the nuclear family: The increasing importance of multigenerational bonds. ''Journal of Marriage and Family'', ''63''(1), 1–16.  https://doi.org/10.1111/j.1741-3737.2001.00001.x

Bonanno, G. A., Wortman, C. B., &amp; Nesse, R. M. (2004). Prospective patterns of resilience and maladjustment during widowhood. ''Psychology and Aging'', ''19''(2), 260–271. https://doi.org/10.1037/0882-7974.19.2.260

Cacioppo, J. T., Hughes, M. E., Waite, L. J., Hawkley, L. C., &amp; Thisted, R. A. (2006). Loneliness as a specific risk factor for depressive symptoms: Cross-sectional and longitudinal analyses. ''Psychology and Aging'', ''21''(1), 140–151. https://doi.org/10.1037/0882-7974.21.1.140

Carstensen, L. L., Isaacowitz, D. M., &amp; Charles, S. T. (1999). Taking time seriously: A theory of socioemotional selectivity. ''American Psychologist'', ''54''(3), 165–181. https://doi.org/10.1037/0003-066X.54.3.165

Charles, S. T., &amp; Carstensen, L. L. (2010). Social and emotional aging. ''Annual Review of Psychology'', ''61'', 383–409. https://doi.org/10.1146/annurev.psych.093008.100448

Chodzko-Zajko, W. J., Proctor, D. N., Fiatarone Singh, M. A., Minson, C. T., Nigg, C. R., Salem, G. J., &amp; Skinner, J. S. (2009). Exercise and physical activity for older adults. ''Medicine &amp; Science in Sports &amp; Exercise'', ''41''(7), 1510–1530. https://doi.org/10.1249/MSS.0b013e3181a0c95c

Cohen, G. D., Perlstein, S., Chapline, J., Kelly, J., Firth, K. M., &amp; Simmens, S. (2006). The impact of professionally conducted cultural programs on the physical health, mental health, and social functioning of older adults. ''The Gerontologist'', ''46''(6), 726–734. https://doi.org/10.1093/geront/46.6.726

Colcombe, S., &amp; Kramer, A. F. (2003). Fitness effects on the cognitive function of older adults: A meta-analytic study. ''Psychological Science'', ''14''(2), 125–130. https://doi.org/10.1111/1467-9280.t01-1-01430

Emmons, R. A., &amp; McCullough, M. E. (2003). Counting blessings versus burdens: An experimental investigation of gratitude and subjective well-being in daily life. ''Journal of Personality and Social Psychology'', ''84''(2), 377–389. https://doi.org/10.1037/0022-3514.84.2.377

Greenfield, E. A., &amp; Marks, N. F. (2004). Formal volunteering as a protective factor for older adults' psychological well-being. ''The Journals of Gerontology Series B: Psychological Sciences and Social Sciences'', ''59''(5), S258–S264. https://doi.org/10.1093/geronb/59.5.S258

Helliwell, J. F., Layard, R., &amp; Sachs, J. (2013). World happiness report. ''United Nations Sustainable Development Solutions Network''. http://eprints.lse.ac.uk/47487/

Hultsch, D. F., Hertzog, C., Small, B. J., &amp; Dixon, R. A. (1999). Use it or lose it: Engaged lifestyle as a buffer of cognitive decline in aging? ''Psychology and Aging'', ''14''(2), 245–263. https://doi.org/10.1037/0882-7974.14.2.245

Keyes, C. L. M. (2007). Promoting and protecting mental health as flourishing: A complementary strategy for improving national mental health. ''American Psychologist'', ''62''(2), 95–108. https://doi.org/10.1037/0003-066X.62.2.95

Liu, C. J., &amp; Latham, N. K. (2009). Progressive resistance strength training for improving physical function in older adults. ''The Cochrane Database of Systematic Reviews'', (3), CD002759. https://doi.org/10.1002/14651858.CD002759.pub2

Martin, R. A., Kuiper, N. A., Olinger, L. J., &amp; Dance, K. A. (1993). Humor, coping with stress, self-concept, and psychological well-being. ''Humor-International Journal of Humor Research'', ''6''(1), 89–104. https://doi.org/10.1515/humr.1993.6.1.89

Park, D. C., &amp; Bischof, G. N. (2013). The aging mind: neuroplasticity in response to cognitive training. ''Dialogues in Clinical Neuroscience'', ''15''(1), 109–119. https://doi.org/10.31887/DCNS.2013.15.1/dpark

Park, D. C., Lautenschlager, G., Hedden, T., Davidson, N. S., Smith, A. D., &amp; Smith, P. K. (2002). Models of visuospatial and verbal memory across the adult life span. ''Psychology and Aging'', ''17''(2), 299–320. https://doi.org/10.1037/0882-7974.17.2.299

Paterson, D. H., &amp; Warburton, D. E. (2010). Physical activity and functional limitations in older adults: a systematic review related to Canada's physical activity guidelines. ''International Journal of Behavioral Nutrition and Physical Activity'', ''7''(1), 1–22. https://doi.org/10.1186/1479-5868-7-38

Peterson, C., Ruch, W., Beermann, U., Park, N., &amp; Seligman, M. E. P. (2007). Strengths of character, orientations to happiness, and life satisfaction. ''The Journal of Positive Psychology'', ''2''(3) 149–156. https://doi.org/10.1080/17439760701228938

Reid, K. J., Baron, K. G., Lu, B., Naylor, E., Wolfe, L., &amp; Zee, P. C. (2010). Aerobic exercise improves self-reported sleep and quality of life in older adults with insomnia. ''Sleep Medicine'', ''11''(9), 934–940. https://doi.org/10.1016/j.sleep.2010.04.014

Ryan, R. M., &amp; Deci, E. L. (2018). ''Self-determination theory: Basic psychological needs in motivation, development, and wellness''. The Guildford Press.

Seligman, M. E. P. (2011). ''Flourish''. William Heinnemann.

Seligman, M. E. P., Steen, T. A., Park, N., &amp; Peterson, C. (2005). Positive psychology progress: Empirical validation of interventions. ''American Psychologist'', ''60''(5), 410.  https://doi.org/10.1037/0003-066X.60.5.410

Sin, N. L., &amp; Lyubomirsky, S. (2009). Enhancing well-being and alleviating depressive symptoms with positive psychology interventions: A practice-friendly meta-analysis. ''Journal of Clinical Psychology'', ''65''(5), 467–487. https://doi.org/10.1002/jclp.20593

Southwick, S. M., &amp; Charney, D. S. (2012) The science of resilience: Implications for the prevention and treatment of depression. ''Science'', ''338''(6103), 79–82. https://doi.org/10.1126/science.1222942
}}

== External links ==
# [https://youtu.be/Is6WvYAM3gg?si=KWHkkgmP47QQDf0O 100-year olds' guide to living your best life] (Allure; YouTube)
# [https://www.bluezones.com/2016/11/power-9/ Blue zones power 9: Lifestyle habits of the world’s healthiest, longest-lived people] (bluezones.com)
# [https://ppc.sas.upenn.edu/ Positive psychology center] (University of Pennsylvania)
# [https://youtu.be/bPBJJ-lxsXA?si=f2yDgG9X6lqiw4Cp The secret to successful aging] (Cathleen Toomey; TEDx Talks)

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      <text bytes="40439" sha1="pshkz1ubujk80jypzwijnu05lx3g93o" xml:space="preserve">{{title|Flourishing in the elderly:&lt;br&gt;How can psychological flourishing be supported in the elderly?}}
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==Overview==
&lt;br&gt;
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[[File:Elderly Woman, B&amp;W image by Chalmers Butterfield.jpg|thumb|157x196px|'''Figure 1'''. ''Sarah ...''. (image no longer visible after April 2025 due to Wiki Commons feedback and user request for deletion)]]
'''''Can you relate''''' ...

Sarah, aged 85, begins her day in a house echoing with memories. Faded photographs on the mantelpiece showcase her once pivotal role in the community. From hosting gatherings to being an active voice at the local council, she had always championed causes dear to her. But now, an overwhelming quietness envelops her heart, and she has lost touch with her sense of purpose.

Time has seen her closest friends move or pass away. Family visits, once frequent and filled with laughter, have become increasingly rare. This growing isolation weighs on Sarah, exacerbated by a society that seems to prioritise youth over experience. The fast-paced technological world further alienates her; smart devices and social media platforms feel foreign, exacerbating her deep-seated fear of irrelevance in a world that is rapidly evolving without her.

In a society increasingly centred on youth, how can seniors like Sarah reclaim their vitality and sense of meaning?
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&lt;br&gt;
[[File:Elderly Couple Eating.jpg|thumb|250x250px|'''Figure 2'''. ''An elderly couple ...'' (image no longer visible after March 2026 due to Wiki Commons feedback and user request for deletion)]]

The [[wikipedia:Ageing#Successful_ageing|ageing]] population represents an invaluable repository of [[wikipedia:Wisdom|wisdom]], [[wikipedia:Experience|experience]], and [[wikipedia:Insight|insight]] (see Figure 2). Yet, many elderly individuals, much like Sarah, face challenges related to purpose, meaning, and overall psychological [[wikipedia:Well-being|well-being]]. This raises a question; can the elderly attain a state of psychological [[Motivation and emotion/Book/2018/Flourishing|flourishing]], even in the face of age-related adversities? The domain of [[wikipedia:Positive_psychology|positive psychology]] offers evidence-based strategies. Read on to explore what these strategies are and how they can be applied to support seniors in their journey toward a life filled with purpose, meaning, and joy.

Specifically, psychological flourishing in the elderly may be supported through a combination of the following four elements, especially when tailored to individual needs and preferences:

# [[wikipedia:Social_support|Social engagement]] and meaningful activities such as community involvement or [[wikipedia:Hobby#Psychological_role|hobbies]] (Helliwell et al., 2013)
# Mental stimulation via [[wikipedia:Brain_training|cognitive training]] programs can sustain mental acuity and may delay cognitive decline (Ball et al., 2002)
# [[Motivation and emotion/Book/2013/Motivating the elderly to exercise|Physical activity]] using exercises tailored to the elderly improve mood and cognitive function (Colcombe &amp; Kramer, 2003)
# Incorporating [[Motivation and emotion/Book/2020/Coping and emotion|positive coping strategies]] from positive psychology techniques, such as gratitude exercises, builds [[wikipedia:Psychological_resilience|resilience]] and satisfaction (Seligman et al., 2005)
&lt;br&gt;
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'''Focus questions:'''
* What is psychological flourishing?
* Why is psychological flourishing important for the elderly?
* How does positive psychology foster psychological flourishing?
* What can seniors do to flourish?
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&lt;br&gt;

== What is psychological flourishing? ==
Psychological flourishing, a term frequently linked to positive psychology, has gained prominence over the years. For elderly individuals, understanding and achieving psychological flourishing is paramount, considering the myriad challenges they confront during this stage of life (Park et al., 2002). The concept of psychological flourishing and its significance, particularly in the context of ageing, will be explored in depth. Psychological theory, such as self-determination theory and resilience theory, combine with empirical evidence to underpin the suggested four-element model. It is also essential to define and distinguish psychological flourishing from broader notions of general flourishing and well-being. Through understanding this distinction, the unique facets of flourishing and its potential impact on the lives of older individuals become evident. Common misconceptions about psychological flourishing are also addressed, ensuring clarity in subsequent discussions.

Psychological flourishing, a concept closely associated with positive psychology, has gained prominence in recent years. For elderly individuals, comprehending and attaining psychological flourishing is crucial, given the diverse challenges encountered in this life stage (Park et al., 2002). The concept of psychological flourishing and its significance, particularly in the context of ageing, will be explored in depth. Psychological theories such as self-determination theory and resilience theory, as well as empirical evidence, will be used to establish a four-element model of psychological flourishing. Additionally, it is vital to delineate psychological flourishing from broader concepts of general flourishing and well-being. By grasping these distinctions, the unique facets of flourishing and their potential transformative impacts on the lives of older individuals become evident. Common misconceptions about psychological flourishing will also be addressed to ensure clarity in the discussions that follow.

=== Definitions and distinctions ===
Psychological flourishing, often simply termed &quot;flourishing&quot;, signifies a pinnacle in human functioning. It represents a well-being state that extends beyond merely being free from distress or psychological issues. More than mere survival, flourishing connotes thriving, excelling, and feeling an intense sense of purpose and contentment (Seligman et al., 2005). This condition transcends mere happiness or the absence of mental illness (Sin &amp; Lyubomirsky, 2009). Flourishing provides a holistic view, emphasising positive human functioning across various areas, from relationships to personal growth and purpose. It captures positive emotions, a sense of engagement, strong social connections, and a profound understanding of life's meaning. Distinct from general well-being, flourishing underscores not just feeling good but also functioning effectively, accentuating both [[wikipedia:Hedonic_motivation|hedonic]] (feelings about life) and [[wikipedia:Eudaimonia|eudaimonic]] (functioning in life) well-being facets (Keyes, 2007).

Positive psychology’s well-being theory, also known as the PERMA model, conceptualises well-being as a state of comfort, health, or happiness (Seligman, 2011). The model comprises five elements: positive emotion, engagement, positive relationships, meaning, and accomplishment (Seligman, 2011). However, psychological flourishing transcends the ‘feeling good’ aspect of well-being. It encompasses optimal functioning in daily life, incorporating the key principles of self-determination theory: autonomy, relatedness, and competence.

=== Importance in the context of ageing ===
Ageing often elicits feelings of apprehension and resignation, influenced by perceptions of decline or limitation, both physically and mentally. Nevertheless, research indicates that many elderly individuals experience periods of growth, insight, and enhanced well-being. For example, the Adult Development and Enrichment Project (ADEPT), conducted by researchers at Pennsylvania State University, underscored the potential for intellectual and emotional growth even in advanced age (Hultsch et al., 1999). Psychological flourishing becomes paramount in this context, assisting the elderly in navigating challenges, capitalising on opportunities, and making meaningful contributions to their communities and personal lives, thereby maintaining their autonomy, relatedness, and competence.

Psychological flourishing challenges these notions of decline or limitation, highlighting the profound possibilities for growth, enrichment, and depth in later life (Paterson &amp; Warburton, 2010). Embracing flourishing can significantly transform the way elderly individuals perceive their later years, encouraging them to view this period as an opportunity for renewed purpose, deepened relationships, and the cultivation of new passions or interests. Furthermore, as elderly individuals inevitably face challenges, resilience theory provides a framework for developing a mindset rooted in flourishing (Southwick &amp; Charney, 2012; Bonanno et al., 2004). Such a capacity and mindset act as a solid foundation, empowering seniors to approach obstacles with resilience and poise (Seligman et al., 2005).

=== Misconceptions ===
Several misconceptions exist regarding the concept of psychological flourishing. Contrary to common belief, it does not imply a perpetual state of happiness or a life devoid of adversity. Psychological flourishing is not about the absence of negative emotions or challenges. Instead, it focuses on cultivating psychological tools and strategies to navigate adversity, empowering individuals to thrive amidst difficulties (Carstensen et al., 1999). Clarifying these misconceptions paves the way for a deeper understanding of how older individuals can achieve and maintain psychological flourishing.

To truly grasp psychological flourishing in older adults, it is crucial to debunk prevalent myths about the ageing process. If left unchallenged, these misconceptions could deter the implementation of strategies promoting well-being in later life (Carstensen et al., 1999; Charles &amp; Carstensen, 2010). Table 1 presents evidence-based counters to these myths, highlighting the potential for growth and vitality among the elderly.
{| class=&quot;wikitable&quot;
|+ Table 1. ''Dispelling Common Misconceptions about the Ageing Process''&lt;br&gt;
|-
! Myth !! Fact
|-
| Ageing leads to inevitable cognitive and emotional decline. || Ageing can offer growth opportunities with the right strategies.
|-
| Ageing means mental and physical decline. || Many older adults maintain high cognitive and physical activity levels with suitable exercises (Park et al., 2002; Hultsch et al., 1999).
|-
| Social withdrawal is an ageing inevitability. || While social circles might decrease in size, relationship quality often improves, and staying socially engaged is beneficial (Carstensen et al., 1999; Charles &amp; Carstensen, 2010).
|-
| Physical activity is risky for older adults. || Moderate physical activity improves mental and physical health in the elderly, refuting the risk myth (Paterson &amp; Warburton, 2010; Chodzko-Zajko et al., 2009).
|-
| Positive thinking is naive. || Adopting a positive mindset is empirically supported, and positive psychology boosts well-being in the elderly (Seligman et al., 2005; Sin &amp; Lyubomirsky, 2009).
|}

== Significance of psychological flourishing for the elderly ==
Psychological flourishing holds a special significance for the elderly (Seligman, 2011). As they navigate the complexities of ageing, fostering a sense of purpose, joy, and well-being is essential (Bonanno et al., 2004). The importance of psychological flourishing for older adults lies in its comprehensive contributions to their emotional, cognitive, and physical domains (Emmons &amp; McCullough, 2003; Hultsch et al., 1999). Drawing upon current research, the following discussion explores the transformative effects of a flourishing mindset.

=== Emotional benefits ===
Ageing introduces challenges that can be emotionally strenuous. However, research such as that by Peterson et al. (2007) indicates that character strengths, including love, gratitude, and hope, can significantly enhance emotional well-being. A good sense of humour provides further enhancement to emotional well-being according to research conducted by Martin et al. (1993). Flourishing ensures that the elderly possess the emotional resilience required to confront challenges, nurturing feelings of contentment and fulfilment (Bonanno et al., 2004). A senior who flourishes, for instance, might derive profound joy from meaningful relationships or experience a deep sense of gratitude for life's journey. This emotional equilibrium not only improves overall life quality but also acts as a safeguard against stress, rendering the ageing experience more rewarding (Bengtson, 2001; Carstensen et al., 1999).

=== Cognitive benefits ===
Psychological flourishing has discernible effects on cognitive function. A flourishing mind is an active one, continuously engaged in stimulating activities. Various researchers have observed that aspects like mental stimulation and engagement in activities such as walking, cycling, and sports play a role in cognitive maintenance (Bonanno et al., 2004; Emmons &amp; McCullough, 2003; Hultsch et al., 1999). Cross-sectional and retrospective studies, although lacking direct causation evidence, highlight the correlation between physical activity and cognitive function (Hultsch et al., 1999; Paterson &amp; Warburton, 2010). Moreover, character strengths such as curiosity and zest, as pinpointed by Peterson et al. (2007), equip the elderly with a passion for learning, keeping their cognitive faculties sharp and agile. It is a proactive stance against cognitive decline, ensuring that the elderly remain mentally active and engaged.

=== Impact on physical health and longevity ===
The connection between the mind and body is profound, particularly in the context of ageing. Research consistently underscores the positive effects of physical activity on functional outcomes, with an emphasis on the benefits of aerobic activities and structured exercise programs (Greenfield &amp; Marks, 2004; Paterson &amp; Warburton, 2010). Notably, regular participation in these activities is linked to decreased risks of functional impairments. Beyond the immediate physical benefits, psychological flourishing, with its focus on positive behaviours and proactive approaches, may also enhance longevity (Bengtson, 2001; Peterson et al. 2007). For example, seniors who cultivate qualities such as gratitude, as identified in studies by Peterson et al. (2007), are likely to adopt more health-promoting behaviours. This symbiotic relationship between a flourishing mind and a healthy body underscores the importance of psychological well-being in the elderly.

{{RoundBoxTop|theme=6}}
&lt;quiz display=simple&gt;
{Imagine you are chatting with a friend about the advantages of psychological flourishing in older adults. Which of the following is NOT a benefit of psychological flourishing in the elderly?
|type=&quot;()&quot;}
- Enhanced emotional resilience to confront challenges
+ Safeguard against financial issues
- Improved overall life quality
- Acts as a safeguard against stress

{A senior with a flourishing mindset might derive profound joy from meaningful relationships and experience a deep sense of gratitude for life's journey.
|type=&quot;()&quot;}
+ True
- False

{Research indicates that seniors who cultivate qualities like gratitude are more likely to:
|type=&quot;()&quot;}
- Avoid social interactions
- Abstain from any form of physical activity
+ Adopt additional health-promoting behaviours
- Experience rapid cognitive decline
&lt;/quiz&gt;
{{RoundBoxBottom}}

== The role of positive psychology ==
Positive psychology represents a rapidly growing field, concentrating on the cultivation of individual strengths, virtues, and peak human functioning, as highlighted by Seligman (2011). For elderly individuals, this approach provides a comprehensive viewpoint, tackling the intrinsic challenges associated with ageing while actively encouraging a flourishing life that extends past mere existence. Southwick and Charney's (2012) influential research underscores resilience, an essential aspect of positive psychology's resilience theory, as crucial in managing stress and trauma. This section explores relevant core principles of positive psychology that, illustrate its substantial utility in supporting psychological flourishing among seniors.

=== Foundational principles and theories ===
Positive psychology fundamentally examines the conditions and processes essential for optimal functioning, as investigated by Southwick and Charney (2012). It transforms the traditional focus on deficits and disorders, advocating instead for the amplification of strengths, positive emotions, and resilience. These elements are crucial for seniors, offering invaluable guidance through the complexities of later life. Core theoretical frameworks within this field, including resilience theory, self-determination theory, and well-being theory, shed light on various avenues available for seniors to discover meaning, purpose, and an elevated sense of well-being, even amidst the challenges life presents.

* '''Resilience theory''' in psychology delves into the complex processes that enable individuals to adapt positively in the face of adversity. Recognising resilience as a dynamic and developmental capacity, it encompasses both internal cognitive-affective mechanisms, such as emotion regulation and a robust sense of self-efficacy, and external factors like strong social support networks. This framework underscores the notion that resilience is not an innate trait; rather, it is a skill subject to cultivation. The theory also integrates the concept of post-traumatic growth, shedding light on how challenging experiences can contribute to personal development and a deeper sense of meaning in life. By considering individual differences and the developmental context, resilience theory provides a nuanced understanding of adaptive functioning, guiding interventions that aim to enhance resilience and promote positive psychological outcomes (Southwick &amp; Charney, 2012; Bonanno et al., 2004).
* '''Self-determination theory''' (SDT) stands as a prominent psychological framework elucidating the intrinsic and extrinsic factors driving human motivation and behaviour. Developed by Deci and Ryan, the theory posits that the fulfillment of three core psychological needs—autonomy, competence, and relatedness—is paramount for optimal functioning and well-being (Ryan &amp; Deci, 2018). Autonomy pertains to the sense of volition and self-governance in one’s actions, competence encompasses the need to master tasks and learn, and relatedness refers to the desire for meaningful connections and belongingness. In the context of flourishing, particularly among seniors, SDT offers valuable insights into how supportive environments and interventions can be crafted to nurture these fundamental needs. By emphasising the integral role of internal motivation and the social context in psychological well-being, SDT provides a nuanced and comprehensive understanding of the pathways leading to enhanced flourishing and life satisfaction. This theory, therefore, serves as a pivotal guide in the quest to foster resilient, connected, and self-determined lives in the elderly population.
* '''Well-being theory''', conceptualised by Martin Seligman, represents a pivotal shift in psychological thought, extending the focus from the mere alleviation of distress to the active cultivation of optimal living. Seligman (2011) introduced the PERMA model, which encapsulates five integral components of well-being: positive emotion, engagement, positive relationships, meaning, and accomplishment. Positive emotion emphasises the value of fostering joy and contentment, while engagement stresses the importance of deep absorption in activities, invoking a state of flow. Positive relationships highlight the necessity of nurturing supportive and enriching connections. Meaning pertains to pursuing a purpose larger than oneself, and accomplishment encompasses striving for mastery and achievement. For the elderly, these dimensions provide a comprehensive blueprint for flourishing, guiding interventions and practices aimed at enhancing life quality and fulfilment. Well-being theory thus stands as a foundational pillar in positive psychology, offering a nuanced and holistic understanding of the factors that contribute to a life well-lived, irrespective of one’s age.

=== Psychological functioning and its role ===
Research conducted by Southwick and Charney (2012) underscores the integral role of psychological resilience in combatting depression—a condition prevalent among the elderly (16.1% of 65+-year-old Australians in [https://www.abs.gov.au/statistics/health/health-conditions-and-risks/health-conditions-prevalence/latest-release 2020–21]). Resilience does not merely denote bouncing back from adversity but signifies thriving amidst it. The elderly, with a lifetime of experiences, possess unique strengths and coping mechanisms. By harnessing these, and understanding neurobiological and psychosocial factors, there is an avenue for improved psychological functioning, ultimately contributing to enhanced flourishing.

=== The resilience connection ===
Several studies highlight that resilience is intricately linked to genetics, environment, neurobiology, and psychosocial factors (Helliwell &amp; Sachs, 2013; Seligman, 2011; Southwick &amp; Charney, 2012). For seniors, building resilience becomes a pivotal tool in managing age-related stressors and traumas. Embracing resilience does not mean avoiding challenges but rather developing a robust toolkit to face them head-on. With strategies encompassing positive emotions, social support, coping skills, and more, resilience offers a protective layer, allowing seniors to remain buoyant in the face of life's trials.

=== Proactive approaches and interventions ===
Promoting flourishing among the elderly necessitates actionable steps grounded in empirical evidence. Southwick and Charney (2012) advocate for interventions such as modifying the biological and psychosocial environment, strengthening social support networks, enhancing cognitive engagements, and boosting physical health through aerobic exercises. It is crucial to tailor these approaches to the distinct needs of seniors, taking into account their physiological, cognitive, and socio-emotional states. When informed by positive psychology, the amalgamation of these interventions paves the way for a life marked by heightened contentment, purpose, and joy in the latter years. Figure 3 illustrates how the integration of these supportive interventions correlates with increased levels of psychological flourishing among the elderly.&lt;br&gt;

[[File:Psychological Flourishing - amalgamation model.png|center|thumb|400x400px|'''Figure 3'''. ''The cumulative impact of multiple interventions for supporting flourishing in the elderly''.]]

== What can seniors do to flourish? ==
Psychological flourishing in seniors is essential for their well-being and quality of life. This section delves into practical, evidence-based strategies derived from positive psychology to foster flourishing among the elderly. It emphasises the importance of social engagement, mental stimulation, physical activity, and positive coping techniques. Tailored to individual needs, these approaches aim to enhance purpose, joy, and meaningful connections, addressing the unique challenges faced by seniors in their pursuit of a fulfilling life.

=== Social engagement and meaningful activities ===	
[[File:Czech Senior Citizen's day 2019, showcase of Senior Citizens Writing Wikipedia project.jpg |thumb|250x250px|'''Figure 4'''''.'' 'Czech seniors participating in the Senior Citizens Writing Wikipedia project''.]]

* Building social connections rejuvenates the spirit and enhances well-being.
* Social relationships have been found to significantly influence mental and emotional well-being in the elderly. A strong social network can reduce feelings of loneliness and depression, thereby promoting psychological flourishing (Cacioppo et al., 2006).
* Forming bonds across different age groups can be mutually beneficial and specifically aid the elderly in feeling more connected and less isolated (Bengtson, 2001).
* Engaging in community activities or volunteering (see Figure 4) has been shown to provide a sense of purpose and improve mental health outcomes for seniors (Greenfield &amp; Marks, 2004).

{| style=&quot;border: 1px solid #A0A0A0; border-radius: 12px; display: inline-table; background-color: transparent;padding-right: 20px;&quot;
|[[File:Crystal Clear app ktip.svg|left|30px|]]'''''Consider''''': When was the last time you made a new friend? What activities can help you meet new people?
:''Suggestions'': Engage in community activities, reconnect with old friends, or even consider pet ownership.&lt;br&gt;
::Establish regular family visits or calls, attend local gatherings, or join clubs focused on specific interests.
|}

[[File:Saturday morning - Lannion (37031618972).jpg |thumb|317x317px|'''Figure 5'''''.'' ''An elderly man reading, an excellent form of mental stimulation''.]]

=== Mental stimulation ===
* Continuous learning has been linked to cognitive vitality and emotional well-being (Park &amp; Bischof, 2013).
* Activities that require creativity, such as painting or music, not only stimulate the brain but also contribute to a greater sense of purpose and joy, enhancing the quality of life (Cohen et al., 2006).
* Research indicates that lifelong learning and mental stimulation can help prevent cognitive decline and improve overall psychological well-being. Older adults who engage in mentally stimulating activities (see Figure 5) report higher levels of happiness and lower levels of depression (Hultsch et al., 1999).
* More recent research underscores the notion that the ageing brain is capable of new neural connections when subjected to novel learning experiences, enhancing cognitive and emotional well-being (Park &amp; Bischof, 2013).

{| style=&quot;border: 1px solid #A0A0A0; border-radius: 12px; display: inline-table; background-color: transparent;padding-right: 20px;&quot;
|[[File:Crystal Clear app ktip.svg|left|30px|]]'''''Consider''''': Reflect on a skill you've always wanted to learn. What's stopping you now?
:''Suggestions'': Take up a new hobby, join an interesting class, or simply read a new book.&lt;br&gt;
::Explore online courses tailored for seniors or consider group-based activities to foster intellectual engagement.
|}

=== Physical activity ===
[[File:Near Parking Spaces - Great Field Coronation parkrun (52875393179).jpg|thumb|300x280px|'''Figure 6'''''.'' ''Elderly man and woman taking part in the Great Field Coronation parkrun in Poundbury, Dorchester''.]]

* Regular physical activity boosts mental health and protects against age-related ailments such as heart disease, osteoporosis, and [https://en.wikipedia.org/wiki/Sarcopenia sarcopenia] (loss of muscle mass).
* Several studies show that regular physical exercise can improve cognitive function, thereby supporting not only physical but also mental well-being (Colcombe &amp; Kramer, 2003).
* Group exercise activities like tai chi or water aerobics offer not only physical benefits but also social interaction, which can further contribute to psychological well-being (Liu &amp; Latham, 2009).
* Improved sleep through regular physical activity is correlated with better mood and mental health, providing another pathway to psychological flourishing (Reid et al., 2010).

{| style=&quot;border: 1px solid #A0A0A0; border-radius: 12px; display: inline-table; background-color: transparent;padding-right: 20px;&quot;
|[[File:Crystal Clear app ktip.svg|left|30px|]]'''''Consider''''': Reflect on a skill you've always wanted to learn. What's stopping you now?
:''Suggestions'': Incorporate simple exercises into your daily routine, such as
::walking, yoga, or dancing, or consider joining a senior-friendly exercise group.&lt;br&gt;
:''Please note:'' Always consult your healthcare professional before starting any new exercise regimen.
|}

[[File:Meditating man-solo.png|thumb|317x317px|'''Figure 7'''''.'' ''An elderly man practicing guided meditation; an excellent positive coping strategy''.]]

=== Positive coping strategies ===
* Develop resilience against challenges by adopting positive coping mechanisms such as meditation (see Figure 7), relaxation techniques, and engaging in spirituality.
* Positive psychology interventions focus on strengths and virtues and have shown efficacy in improving well-being and reducing depressive symptoms in older adults (Seligman et al., 2005).
* Incorporating gratitude into daily routines has been associated with positive emotional states, greater well-being, and better physical health in older adults (Emmons &amp; McCullough, 2003).
* Utilising humor is shown to not only uplift mood but also serve as an effective coping strategy for stress and life challenges. This is particularly relevant for elderly individuals who may face various forms of age-related adversity (Martin et al., 1993).

{| style=&quot;border: 1px solid #A0A0A0; border-radius: 12px; display: inline-table; background-color: transparent;padding-right: 20px;&quot;
|[[File:Crystal Clear app ktip.svg|left|30px|]]'''''Consider''''': Reflect on a past challenge. How did you cope? How can you refine this strategy?
:''Suggestions'': Embrace activities that foster mindfulness and reflection, such as
::meditation, gratitude journaling, or joining a support group.&lt;br&gt;
|}

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[[File:Elderly man-zest for life-mentoring.png|thumb|327x182px|'''Figure 8'''. ''John rediscovered his zest for life through mentoring teenagers, a program organised by his local APEX club''.]]
'''''Can you relate''''' ...

John, at 80, often sat in his armchair, lost in memories of youthful adventures. He believed his golden years had long passed, with each day echoing the sentiments of a vibrant past. Collecting his mail one day, a flyer for the local book club caught his attention, hinting at a promise of engaging discussions. Deciding to join, John discovered that the club was more than just about books; it was a community bridging generational gaps through shared stories.

A young woman from the group, impressed by John's vast life experiences, introduced him to a mentoring program hosted by the local [[w:Apex Clubs of Australia|APEX]] club. Through mentoring, John shared his life lessons, offering wisdom and guidance to the younger generation. This exchange rekindled his understanding of the value of his own journey. Far from feeling that his best years were behind him, the interactions brought about a renewed sense of purpose (see Figure 8). Through the book club and mentoring, John not only found a revived passion for literature but also tapped into a deeper zest for life, seeing his age not as a limitation but as a testament to a life rich with experiences.
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==Conclusion==
Ageing, despite its inherent challenges, can still be a period rich in growth, connection, and profound meaning. By integrating the principles of positive psychology with tailored interventions, an environment conducive to psychological flourishing in the elderly can be cultivated. Foundational theories such as resilience theory, self-determination theory, and well-being theory offer a robust framework for understanding and nurturing the various facets of flourishing.

Translating these theories into practical strategies and interventions empowers seniors to gracefully navigate the complexities of ageing, maintaining resilience and a sustained sense of well-being. Supporting flourishing in the elderly necessitates a commitment to social engagement, enhancing emotional well-being; continuous mental stimulation, promoting cognitive vitality; regular physical activity, supporting both physical and mental health; and the adoption of positive coping strategies to foster resilience. These strategies not only enhance their quality of life but also contribute positively to the broader community, as the elderly impart their wisdom, experience, and emotional stability.

Furthermore, dispelling misconceptions surrounding ageing and psychological flourishing is paramount. Challenging societal stereotypes and adopting a holistic view of ageing is essential, acknowledging the potential for growth, development, and fulfilment in this life stage.

In conclusion, supporting psychological flourishing in the elderly is a multifaceted endeavour. It demands a collaborative effort from individuals, communities, and society at large, aiming to create environments that nurture the emotional, cognitive, and physical aspects of well-being. In doing so, the invaluable contributions of the elderly are honoured, fostering a culture of respect, appreciation, and comprehensive support, ensuring that the senior years are indeed filled with growth, connection, and a profound sense of purpose.

==See also==
# [[Motivation and emotion/Book/2014/Ageing and emotion|Ageing and emotion]] (Book chapter, 2014)
# [[Motivation and emotion/Book/2023/Ageing and motivation|Ageing and motivation]] (Book chapter, 2023)
# [[Motivation and emotion/Book/2023/Nudge_theory_and_sedentary_behaviour|Nudge theory and sedentary behaviour]] (Book chapter, 2023)
# [[wikipedia:Self-determination_theory|Self-determination theory]] (Wikipedia)
# [[Motivation and emotion/Book/2023/Death_and_meaning_in_life|Death and meaning in life]] (Book chapter, 2023)
# [[Motivation and emotion/Book/2023/Community_resilience|Community resilience]] (Book chapter, 2023)

== References ==
{{Hanging indent|1=

Ball, K., Berch, D., Helmers, K., Jobe, J., Leveck, M., Marsiske, M., Morris, J., Rebok, G., Smith, D., Tennstedt, S., Unverzagt, F., &amp; Willis, S. (2002). Effects of cognitive training interventions with older adults. ''JAMA'', ''288''(18), 2271–2281. https://doi.org/10.1001/jama.288.18.2271

Bengtson, V. L. (2001). Beyond the nuclear family: The increasing importance of multigenerational bonds. ''Journal of Marriage and Family'', ''63''(1), 1–16.  https://doi.org/10.1111/j.1741-3737.2001.00001.x

Bonanno, G. A., Wortman, C. B., &amp; Nesse, R. M. (2004). Prospective patterns of resilience and maladjustment during widowhood. ''Psychology and Aging'', ''19''(2), 260–271. https://doi.org/10.1037/0882-7974.19.2.260

Cacioppo, J. T., Hughes, M. E., Waite, L. J., Hawkley, L. C., &amp; Thisted, R. A. (2006). Loneliness as a specific risk factor for depressive symptoms: Cross-sectional and longitudinal analyses. ''Psychology and Aging'', ''21''(1), 140–151. https://doi.org/10.1037/0882-7974.21.1.140

Carstensen, L. L., Isaacowitz, D. M., &amp; Charles, S. T. (1999). Taking time seriously: A theory of socioemotional selectivity. ''American Psychologist'', ''54''(3), 165–181. https://doi.org/10.1037/0003-066X.54.3.165

Charles, S. T., &amp; Carstensen, L. L. (2010). Social and emotional aging. ''Annual Review of Psychology'', ''61'', 383–409. https://doi.org/10.1146/annurev.psych.093008.100448

Chodzko-Zajko, W. J., Proctor, D. N., Fiatarone Singh, M. A., Minson, C. T., Nigg, C. R., Salem, G. J., &amp; Skinner, J. S. (2009). Exercise and physical activity for older adults. ''Medicine &amp; Science in Sports &amp; Exercise'', ''41''(7), 1510–1530. https://doi.org/10.1249/MSS.0b013e3181a0c95c

Cohen, G. D., Perlstein, S., Chapline, J., Kelly, J., Firth, K. M., &amp; Simmens, S. (2006). The impact of professionally conducted cultural programs on the physical health, mental health, and social functioning of older adults. ''The Gerontologist'', ''46''(6), 726–734. https://doi.org/10.1093/geront/46.6.726

Colcombe, S., &amp; Kramer, A. F. (2003). Fitness effects on the cognitive function of older adults: A meta-analytic study. ''Psychological Science'', ''14''(2), 125–130. https://doi.org/10.1111/1467-9280.t01-1-01430

Emmons, R. A., &amp; McCullough, M. E. (2003). Counting blessings versus burdens: An experimental investigation of gratitude and subjective well-being in daily life. ''Journal of Personality and Social Psychology'', ''84''(2), 377–389. https://doi.org/10.1037/0022-3514.84.2.377

Greenfield, E. A., &amp; Marks, N. F. (2004). Formal volunteering as a protective factor for older adults' psychological well-being. ''The Journals of Gerontology Series B: Psychological Sciences and Social Sciences'', ''59''(5), S258–S264. https://doi.org/10.1093/geronb/59.5.S258

Helliwell, J. F., Layard, R., &amp; Sachs, J. (2013). World happiness report. ''United Nations Sustainable Development Solutions Network''. http://eprints.lse.ac.uk/47487/

Hultsch, D. F., Hertzog, C., Small, B. J., &amp; Dixon, R. A. (1999). Use it or lose it: Engaged lifestyle as a buffer of cognitive decline in aging? ''Psychology and Aging'', ''14''(2), 245–263. https://doi.org/10.1037/0882-7974.14.2.245

Keyes, C. L. M. (2007). Promoting and protecting mental health as flourishing: A complementary strategy for improving national mental health. ''American Psychologist'', ''62''(2), 95–108. https://doi.org/10.1037/0003-066X.62.2.95

Liu, C. J., &amp; Latham, N. K. (2009). Progressive resistance strength training for improving physical function in older adults. ''The Cochrane Database of Systematic Reviews'', (3), CD002759. https://doi.org/10.1002/14651858.CD002759.pub2

Martin, R. A., Kuiper, N. A., Olinger, L. J., &amp; Dance, K. A. (1993). Humor, coping with stress, self-concept, and psychological well-being. ''Humor-International Journal of Humor Research'', ''6''(1), 89–104. https://doi.org/10.1515/humr.1993.6.1.89

Park, D. C., &amp; Bischof, G. N. (2013). The aging mind: neuroplasticity in response to cognitive training. ''Dialogues in Clinical Neuroscience'', ''15''(1), 109–119. https://doi.org/10.31887/DCNS.2013.15.1/dpark

Park, D. C., Lautenschlager, G., Hedden, T., Davidson, N. S., Smith, A. D., &amp; Smith, P. K. (2002). Models of visuospatial and verbal memory across the adult life span. ''Psychology and Aging'', ''17''(2), 299–320. https://doi.org/10.1037/0882-7974.17.2.299

Paterson, D. H., &amp; Warburton, D. E. (2010). Physical activity and functional limitations in older adults: a systematic review related to Canada's physical activity guidelines. ''International Journal of Behavioral Nutrition and Physical Activity'', ''7''(1), 1–22. https://doi.org/10.1186/1479-5868-7-38

Peterson, C., Ruch, W., Beermann, U., Park, N., &amp; Seligman, M. E. P. (2007). Strengths of character, orientations to happiness, and life satisfaction. ''The Journal of Positive Psychology'', ''2''(3) 149–156. https://doi.org/10.1080/17439760701228938

Reid, K. J., Baron, K. G., Lu, B., Naylor, E., Wolfe, L., &amp; Zee, P. C. (2010). Aerobic exercise improves self-reported sleep and quality of life in older adults with insomnia. ''Sleep Medicine'', ''11''(9), 934–940. https://doi.org/10.1016/j.sleep.2010.04.014

Ryan, R. M., &amp; Deci, E. L. (2018). ''Self-determination theory: Basic psychological needs in motivation, development, and wellness''. The Guildford Press.

Seligman, M. E. P. (2011). ''Flourish''. William Heinnemann.

Seligman, M. E. P., Steen, T. A., Park, N., &amp; Peterson, C. (2005). Positive psychology progress: Empirical validation of interventions. ''American Psychologist'', ''60''(5), 410.  https://doi.org/10.1037/0003-066X.60.5.410

Sin, N. L., &amp; Lyubomirsky, S. (2009). Enhancing well-being and alleviating depressive symptoms with positive psychology interventions: A practice-friendly meta-analysis. ''Journal of Clinical Psychology'', ''65''(5), 467–487. https://doi.org/10.1002/jclp.20593

Southwick, S. M., &amp; Charney, D. S. (2012) The science of resilience: Implications for the prevention and treatment of depression. ''Science'', ''338''(6103), 79–82. https://doi.org/10.1126/science.1222942
}}

== External links ==
# [https://youtu.be/Is6WvYAM3gg?si=KWHkkgmP47QQDf0O 100-year olds' guide to living your best life] (Allure; YouTube)
# [https://www.bluezones.com/2016/11/power-9/ Blue zones power 9: Lifestyle habits of the world’s healthiest, longest-lived people] (bluezones.com)
# [https://ppc.sas.upenn.edu/ Positive psychology center] (University of Pennsylvania)
# [https://youtu.be/bPBJJ-lxsXA?si=f2yDgG9X6lqiw4Cp The secret to successful aging] (Cathleen Toomey; TEDx Talks)

[[Category:{{#titleparts:{{PAGENAME}}|3}}]]
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      <text bytes="40429" sha1="hh9axkuqv1cd9ryod8x5ufza78fppqm" xml:space="preserve">{{title|Flourishing in the elderly:&lt;br&gt;How can psychological flourishing be supported in the elderly?}}
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==Overview==
&lt;br&gt;
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[[File:Elderly Woman, B&amp;W image by Chalmers Butterfield.jpg|thumb|157x196px|'''Figure 1'''. ''Sarah ...''. (image no longer visible after April 2025 due to Wiki Commons feedback and user request for deletion)]]
'''''Can you relate''''' ...

Sarah, aged 85, begins her day in a house echoing with memories. Faded photographs on the mantelpiece showcase her once pivotal role in the community. From hosting gatherings to being an active voice at the local council, she had always championed causes dear to her. But now, an overwhelming quietness envelops her heart, and she has lost touch with her sense of purpose.

Time has seen her closest friends move or pass away. Family visits, once frequent and filled with laughter, have become increasingly rare. This growing isolation weighs on Sarah, exacerbated by a society that seems to prioritise youth over experience. The fast-paced technological world further alienates her; smart devices and social media platforms feel foreign, exacerbating her deep-seated fear of irrelevance in a world that is rapidly evolving without her.

In a society increasingly centred on youth, how can seniors like Sarah reclaim their vitality and sense of meaning?
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&lt;br&gt;
[[File:Elderly Couple Eating.jpg|thumb|250x250px|'''Figure 2'''. ''An elderly couple ...'' (image no longer visible after March 2026 due to Wiki Commons feedback and user request for deletion)]]

The [[wikipedia:Ageing#Successful_ageing|ageing]] population represents an invaluable repository of [[wikipedia:Wisdom|wisdom]], [[wikipedia:Experience|experience]], and [[wikipedia:Insight|insight]] (see Figure 2). Yet, many elderly individuals, much like Sarah, face challenges related to purpose, meaning, and overall psychological [[wikipedia:Well-being|well-being]]. This raises a question; can the elderly attain a state of psychological [[Motivation and emotion/Book/2018/Flourishing|flourishing]], even in the face of age-related adversities? The domain of [[wikipedia:Positive_psychology|positive psychology]] offers evidence-based strategies. Read on to explore what these strategies are and how they can be applied to support seniors in their journey toward a life filled with purpose, meaning, and joy.

Specifically, psychological flourishing in the elderly may be supported through a combination of the following four elements, especially when tailored to individual needs and preferences:

# [[wikipedia:Social_support|Social engagement]] and meaningful activities such as community involvement or [[wikipedia:Hobby#Psychological_role|hobbies]] (Helliwell et al., 2013)
# Mental stimulation via [[wikipedia:Brain_training|cognitive training]] programs can sustain mental acuity and may delay cognitive decline (Ball et al., 2002)
# [[Motivation and emotion/Book/2013/Motivating the elderly to exercise|Physical activity]] using exercises tailored to the elderly improve mood and cognitive function (Colcombe &amp; Kramer, 2003)
# Incorporating [[Motivation and emotion/Book/2020/Coping and emotion|positive coping strategies]] from positive psychology techniques, such as gratitude exercises, builds [[wikipedia:Psychological_resilience|resilience]] and satisfaction (Seligman et al., 2005)
&lt;br&gt;
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'''Focus questions:'''
* What is psychological flourishing?
* Why is psychological flourishing important for the elderly?
* How does positive psychology foster psychological flourishing?
* What can seniors do to flourish?
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&lt;br&gt;

== What is psychological flourishing? ==
Psychological flourishing, a term frequently linked to positive psychology, has gained prominence over the years. For elderly individuals, understanding and achieving psychological flourishing is paramount, considering the myriad challenges they confront during this stage of life (Park et al., 2002). The concept of psychological flourishing and its significance, particularly in the context of ageing, will be explored in depth. Psychological theory, such as self-determination theory and resilience theory, combine with empirical evidence to underpin the suggested four-element model. It is also essential to define and distinguish psychological flourishing from broader notions of general flourishing and well-being. Through understanding this distinction, the unique facets of flourishing and its potential impact on the lives of older individuals become evident. Common misconceptions about psychological flourishing are also addressed, ensuring clarity in subsequent discussions.

Psychological flourishing, a concept closely associated with positive psychology, has gained prominence in recent years. For elderly individuals, comprehending and attaining psychological flourishing is crucial, given the diverse challenges encountered in this life stage (Park et al., 2002). The concept of psychological flourishing and its significance, particularly in the context of ageing, will be explored in depth. Psychological theories such as self-determination theory and resilience theory, as well as empirical evidence, will be used to establish a four-element model of psychological flourishing. Additionally, it is vital to delineate psychological flourishing from broader concepts of general flourishing and well-being. By grasping these distinctions, the unique facets of flourishing and their potential transformative impacts on the lives of older individuals become evident. Common misconceptions about psychological flourishing will also be addressed to ensure clarity in the discussions that follow.

=== Definitions and distinctions ===
Psychological flourishing, often simply termed &quot;flourishing&quot;, signifies a pinnacle in human functioning. It represents a well-being state that extends beyond merely being free from distress or psychological issues. More than mere survival, flourishing connotes thriving, excelling, and feeling an intense sense of purpose and contentment (Seligman et al., 2005). This condition transcends mere happiness or the absence of mental illness (Sin &amp; Lyubomirsky, 2009). Flourishing provides a holistic view, emphasising positive human functioning across various areas, from relationships to personal growth and purpose. It captures positive emotions, a sense of engagement, strong social connections, and a profound understanding of life's meaning. Distinct from general well-being, flourishing underscores not just feeling good but also functioning effectively, accentuating both [[wikipedia:Hedonic_motivation|hedonic]] (feelings about life) and [[wikipedia:Eudaimonia|eudaimonic]] (functioning in life) well-being facets (Keyes, 2007).

Positive psychology’s well-being theory, also known as the PERMA model, conceptualises well-being as a state of comfort, health, or happiness (Seligman, 2011). The model comprises five elements: positive emotion, engagement, positive relationships, meaning, and accomplishment (Seligman, 2011). However, psychological flourishing transcends the ‘feeling good’ aspect of well-being. It encompasses optimal functioning in daily life, incorporating the key principles of self-determination theory: autonomy, relatedness, and competence.

=== Importance in the context of ageing ===
Ageing often elicits feelings of apprehension and resignation, influenced by perceptions of decline or limitation, both physically and mentally. Nevertheless, research indicates that many elderly individuals experience periods of growth, insight, and enhanced well-being. For example, the Adult Development and Enrichment Project (ADEPT), conducted by researchers at Pennsylvania State University, underscored the potential for intellectual and emotional growth even in advanced age (Hultsch et al., 1999). Psychological flourishing becomes paramount in this context, assisting the elderly in navigating challenges, capitalising on opportunities, and making meaningful contributions to their communities and personal lives, thereby maintaining their autonomy, relatedness, and competence.

Psychological flourishing challenges these notions of decline or limitation, highlighting the profound possibilities for growth, enrichment, and depth in later life (Paterson &amp; Warburton, 2010). Embracing flourishing can significantly transform the way elderly individuals perceive their later years, encouraging them to view this period as an opportunity for renewed purpose, deepened relationships, and the cultivation of new passions or interests. Furthermore, as elderly individuals inevitably face challenges, resilience theory provides a framework for developing a mindset rooted in flourishing (Southwick &amp; Charney, 2012; Bonanno et al., 2004). Such a capacity and mindset act as a solid foundation, empowering seniors to approach obstacles with resilience and poise (Seligman et al., 2005).

=== Misconceptions ===
Several misconceptions exist regarding the concept of psychological flourishing. Contrary to common belief, it does not imply a perpetual state of happiness or a life devoid of adversity. Psychological flourishing is not about the absence of negative emotions or challenges. Instead, it focuses on cultivating psychological tools and strategies to navigate adversity, empowering individuals to thrive amidst difficulties (Carstensen et al., 1999). Clarifying these misconceptions paves the way for a deeper understanding of how older individuals can achieve and maintain psychological flourishing.

To truly grasp psychological flourishing in older adults, it is crucial to debunk prevalent myths about the ageing process. If left unchallenged, these misconceptions could deter the implementation of strategies promoting well-being in later life (Carstensen et al., 1999; Charles &amp; Carstensen, 2010). Table 1 presents evidence-based counters to these myths, highlighting the potential for growth and vitality among the elderly.
{| class=&quot;wikitable&quot;
|+ Table 1. ''Dispelling Common Misconceptions about the Ageing Process''&lt;br&gt;
|-
! Myth !! Fact
|-
| Ageing leads to inevitable cognitive and emotional decline. || Ageing can offer growth opportunities with the right strategies.
|-
| Ageing means mental and physical decline. || Many older adults maintain high cognitive and physical activity levels with suitable exercises (Park et al., 2002; Hultsch et al., 1999).
|-
| Social withdrawal is an ageing inevitability. || While social circles might decrease in size, relationship quality often improves, and staying socially engaged is beneficial (Carstensen et al., 1999; Charles &amp; Carstensen, 2010).
|-
| Physical activity is risky for older adults. || Moderate physical activity improves mental and physical health in the elderly, refuting the risk myth (Paterson &amp; Warburton, 2010; Chodzko-Zajko et al., 2009).
|-
| Positive thinking is naive. || Adopting a positive mindset is empirically supported, and positive psychology boosts well-being in the elderly (Seligman et al., 2005; Sin &amp; Lyubomirsky, 2009).
|}

== Significance of psychological flourishing for the elderly ==
Psychological flourishing holds a special significance for the elderly (Seligman, 2011). As they navigate the complexities of ageing, fostering a sense of purpose, joy, and well-being is essential (Bonanno et al., 2004). The importance of psychological flourishing for older adults lies in its comprehensive contributions to their emotional, cognitive, and physical domains (Emmons &amp; McCullough, 2003; Hultsch et al., 1999). Drawing upon current research, the following discussion explores the transformative effects of a flourishing mindset.

=== Emotional benefits ===
Ageing introduces challenges that can be emotionally strenuous. However, research such as that by Peterson et al. (2007) indicates that character strengths, including love, gratitude, and hope, can significantly enhance emotional well-being. A good sense of humour provides further enhancement to emotional well-being according to research conducted by Martin et al. (1993). Flourishing ensures that the elderly possess the emotional resilience required to confront challenges, nurturing feelings of contentment and fulfilment (Bonanno et al., 2004). A senior who flourishes, for instance, might derive profound joy from meaningful relationships or experience a deep sense of gratitude for life's journey. This emotional equilibrium not only improves overall life quality but also acts as a safeguard against stress, rendering the ageing experience more rewarding (Bengtson, 2001; Carstensen et al., 1999).

=== Cognitive benefits ===
Psychological flourishing has discernible effects on cognitive function. A flourishing mind is an active one, continuously engaged in stimulating activities. Various researchers have observed that aspects like mental stimulation and engagement in activities such as walking, cycling, and sports play a role in cognitive maintenance (Bonanno et al., 2004; Emmons &amp; McCullough, 2003; Hultsch et al., 1999). Cross-sectional and retrospective studies, although lacking direct causation evidence, highlight the correlation between physical activity and cognitive function (Hultsch et al., 1999; Paterson &amp; Warburton, 2010). Moreover, character strengths such as curiosity and zest, as pinpointed by Peterson et al. (2007), equip the elderly with a passion for learning, keeping their cognitive faculties sharp and agile. It is a proactive stance against cognitive decline, ensuring that the elderly remain mentally active and engaged.

=== Impact on physical health and longevity ===
The connection between the mind and body is profound, particularly in the context of ageing. Research consistently underscores the positive effects of physical activity on functional outcomes, with an emphasis on the benefits of aerobic activities and structured exercise programs (Greenfield &amp; Marks, 2004; Paterson &amp; Warburton, 2010). Notably, regular participation in these activities is linked to decreased risks of functional impairments. Beyond the immediate physical benefits, psychological flourishing, with its focus on positive behaviours and proactive approaches, may also enhance longevity (Bengtson, 2001; Peterson et al. 2007). For example, seniors who cultivate qualities such as gratitude, as identified in studies by Peterson et al. (2007), are likely to adopt more health-promoting behaviours. This symbiotic relationship between a flourishing mind and a healthy body underscores the importance of psychological well-being in the elderly.

{{RoundBoxTop|theme=6}}
&lt;quiz display=simple&gt;
{Imagine you are chatting with a friend about the advantages of psychological flourishing in older adults. Which of the following is NOT a benefit of psychological flourishing in the elderly?
|type=&quot;()&quot;}
- Enhanced emotional resilience to confront challenges
+ Safeguard against financial issues
- Improved overall life quality
- Acts as a safeguard against stress

{A senior with a flourishing mindset might derive profound joy from meaningful relationships and experience a deep sense of gratitude for life's journey.
|type=&quot;()&quot;}
+ True
- False

{Research indicates that seniors who cultivate qualities like gratitude are more likely to:
|type=&quot;()&quot;}
- Avoid social interactions
- Abstain from any form of physical activity
+ Adopt additional health-promoting behaviours
- Experience rapid cognitive decline
&lt;/quiz&gt;
{{RoundBoxBottom}}

== The role of positive psychology ==
Positive psychology represents a rapidly growing field, concentrating on the cultivation of individual strengths, virtues, and peak human functioning, as highlighted by Seligman (2011). For elderly individuals, this approach provides a comprehensive viewpoint, tackling the intrinsic challenges associated with ageing while actively encouraging a flourishing life that extends past mere existence. Southwick and Charney's (2012) influential research underscores resilience, an essential aspect of positive psychology's resilience theory, as crucial in managing stress and trauma. This section explores relevant core principles of positive psychology that, illustrate its substantial utility in supporting psychological flourishing among seniors.

=== Foundational principles and theories ===
Positive psychology fundamentally examines the conditions and processes essential for optimal functioning, as investigated by Southwick and Charney (2012). It transforms the traditional focus on deficits and disorders, advocating instead for the amplification of strengths, positive emotions, and resilience. These elements are crucial for seniors, offering invaluable guidance through the complexities of later life. Core theoretical frameworks within this field, including resilience theory, self-determination theory, and well-being theory, shed light on various avenues available for seniors to discover meaning, purpose, and an elevated sense of well-being, even amidst the challenges life presents.

* '''Resilience theory''' in psychology delves into the complex processes that enable individuals to adapt positively in the face of adversity. Recognising resilience as a dynamic and developmental capacity, it encompasses both internal cognitive-affective mechanisms, such as emotion regulation and a robust sense of self-efficacy, and external factors like strong social support networks. This framework underscores the notion that resilience is not an innate trait; rather, it is a skill subject to cultivation. The theory also integrates the concept of post-traumatic growth, shedding light on how challenging experiences can contribute to personal development and a deeper sense of meaning in life. By considering individual differences and the developmental context, resilience theory provides a nuanced understanding of adaptive functioning, guiding interventions that aim to enhance resilience and promote positive psychological outcomes (Southwick &amp; Charney, 2012; Bonanno et al., 2004).
* '''Self-determination theory''' (SDT) stands as a prominent psychological framework elucidating the intrinsic and extrinsic factors driving human motivation and behaviour. Developed by Deci and Ryan, the theory posits that the fulfillment of three core psychological needs—autonomy, competence, and relatedness—is paramount for optimal functioning and well-being (Ryan &amp; Deci, 2018). Autonomy pertains to the sense of volition and self-governance in one’s actions, competence encompasses the need to master tasks and learn, and relatedness refers to the desire for meaningful connections and belongingness. In the context of flourishing, particularly among seniors, SDT offers valuable insights into how supportive environments and interventions can be crafted to nurture these fundamental needs. By emphasising the integral role of internal motivation and the social context in psychological well-being, SDT provides a nuanced and comprehensive understanding of the pathways leading to enhanced flourishing and life satisfaction. This theory, therefore, serves as a pivotal guide in the quest to foster resilient, connected, and self-determined lives in the elderly population.
* '''Well-being theory''', conceptualised by Martin Seligman, represents a pivotal shift in psychological thought, extending the focus from the mere alleviation of distress to the active cultivation of optimal living. Seligman (2011) introduced the PERMA model, which encapsulates five integral components of well-being: positive emotion, engagement, positive relationships, meaning, and accomplishment. Positive emotion emphasises the value of fostering joy and contentment, while engagement stresses the importance of deep absorption in activities, invoking a state of flow. Positive relationships highlight the necessity of nurturing supportive and enriching connections. Meaning pertains to pursuing a purpose larger than oneself, and accomplishment encompasses striving for mastery and achievement. For the elderly, these dimensions provide a comprehensive blueprint for flourishing, guiding interventions and practices aimed at enhancing life quality and fulfilment. Well-being theory thus stands as a foundational pillar in positive psychology, offering a nuanced and holistic understanding of the factors that contribute to a life well-lived, irrespective of one’s age.

=== Psychological functioning and its role ===
Research conducted by Southwick and Charney (2012) underscores the integral role of psychological resilience in combatting depression—a condition prevalent among the elderly (16.1% of 65+-year-old Australians in [https://www.abs.gov.au/statistics/health/health-conditions-and-risks/health-conditions-prevalence/latest-release 2020–21]). Resilience does not merely denote bouncing back from adversity but signifies thriving amidst it. The elderly, with a lifetime of experiences, possess unique strengths and coping mechanisms. By harnessing these, and understanding neurobiological and psychosocial factors, there is an avenue for improved psychological functioning, ultimately contributing to enhanced flourishing.

=== The resilience connection ===
Several studies highlight that resilience is intricately linked to genetics, environment, neurobiology, and psychosocial factors (Helliwell &amp; Sachs, 2013; Seligman, 2011; Southwick &amp; Charney, 2012). For seniors, building resilience becomes a pivotal tool in managing age-related stressors and traumas. Embracing resilience does not mean avoiding challenges but rather developing a robust toolkit to face them head-on. With strategies encompassing positive emotions, social support, coping skills, and more, resilience offers a protective layer, allowing seniors to remain buoyant in the face of life's trials.

=== Proactive approaches and interventions ===
Promoting flourishing among the elderly necessitates actionable steps grounded in empirical evidence. Southwick and Charney (2012) advocate for interventions such as modifying the biological and psychosocial environment, strengthening social support networks, enhancing cognitive engagements, and boosting physical health through aerobic exercises. It is crucial to tailor these approaches to the distinct needs of seniors, taking into account their physiological, cognitive, and socio-emotional states. When informed by positive psychology, the amalgamation of these interventions paves the way for a life marked by heightened contentment, purpose, and joy in the latter years. Figure 3 illustrates how the integration of these supportive interventions correlates with increased levels of psychological flourishing among the elderly.&lt;br&gt;

[[File:Psychological Flourishing - amalgamation model.png|center|thumb|400x400px|'''Figure 3'''. ''The cumulative impact of multiple interventions for supporting flourishing in the elderly''.]]

== What can seniors do to flourish? ==
Psychological flourishing in seniors is essential for their well-being and quality of life. This section delves into practical, evidence-based strategies derived from positive psychology to foster flourishing among the elderly. It emphasises the importance of social engagement, mental stimulation, physical activity, and positive coping techniques. Tailored to individual needs, these approaches aim to enhance purpose, joy, and meaningful connections, addressing the unique challenges faced by seniors in their pursuit of a fulfilling life.

=== Social engagement and meaningful activities ===	
[[File:Czech Senior Citizen's day 2019, showcase of Senior Citizens Writing Wikipedia project.jpg |thumb|250x250px|'''Figure 4'''''.'' 'Czech seniors participating in the Senior Citizens Writing Wikipedia project''.]]

* Building social connections rejuvenates the spirit and enhances well-being.
* Social relationships have been found to significantly influence mental and emotional well-being in the elderly. A strong social network can reduce feelings of loneliness and depression, thereby promoting psychological flourishing (Cacioppo et al., 2006).
* Forming bonds across different age groups can be mutually beneficial and specifically aid the elderly in feeling more connected and less isolated (Bengtson, 2001).
* Engaging in community activities or volunteering (see Figure 4) has been shown to provide a sense of purpose and improve mental health outcomes for seniors (Greenfield &amp; Marks, 2004).

{| style=&quot;border: 1px solid #A0A0A0; border-radius: 12px; display: inline-table; background-color: transparent;padding-right: 20px;&quot;
|[[File:Crystal Clear app ktip.svg|left|30px|]]'''''Consider''''': When was the last time you made a new friend? What activities can help you meet new people?
:''Suggestions'': Engage in community activities, reconnect with old friends, or even consider pet ownership.&lt;br&gt;
::Establish regular family visits or calls, attend local gatherings, or join clubs focused on specific interests.
|}

[[File:Saturday morning - Lannion (37031618972).jpg |thumb|317x317px|'''Figure 5'''''.'' ''An elderly man reading, an excellent form of mental stimulation''.]]

=== Mental stimulation ===
* Continuous learning has been linked to cognitive vitality and emotional well-being (Park &amp; Bischof, 2013).
* Activities that require creativity, such as painting or music, not only stimulate the brain but also contribute to a greater sense of purpose and joy, enhancing the quality of life (Cohen et al., 2006).
* Research indicates that lifelong learning and mental stimulation can help prevent cognitive decline and improve overall psychological well-being. Older adults who engage in mentally stimulating activities (see Figure 5) report higher levels of happiness and lower levels of depression (Hultsch et al., 1999).
* More recent research underscores the notion that the ageing brain is capable of new neural connections when subjected to novel learning experiences, enhancing cognitive and emotional well-being (Park &amp; Bischof, 2013).

{| style=&quot;border: 1px solid #A0A0A0; border-radius: 12px; display: inline-table; background-color: transparent;padding-right: 20px;&quot;
|[[File:Crystal Clear app ktip.svg|left|30px|]]'''''Consider''''': Reflect on a skill you've always wanted to learn. What's stopping you now?
:''Suggestions'': Take up a new hobby, join an interesting class, or simply read a new book.&lt;br&gt;
::Explore online courses tailored for seniors or consider group-based activities to foster intellectual engagement.
|}

=== Physical activity ===
[[File:Near Parking Spaces - Great Field Coronation parkrun (52875393179).jpg|thumb|300x280px|'''Figure 6'''''.'' ''Elderly man and woman taking part in the Great Field Coronation parkrun in Poundbury, Dorchester''.]]

* Regular physical activity boosts mental health and protects against age-related ailments such as heart disease, osteoporosis, and [https://en.wikipedia.org/wiki/Sarcopenia sarcopenia] (loss of muscle mass).
* Several studies show that regular physical exercise can improve cognitive function, thereby supporting not only physical but also mental well-being (Colcombe &amp; Kramer, 2003).
* Group exercise activities like tai chi or water aerobics offer not only physical benefits but also social interaction, which can further contribute to psychological well-being (Liu &amp; Latham, 2009).
* Improved sleep through regular physical activity is correlated with better mood and mental health, providing another pathway to psychological flourishing (Reid et al., 2010).

{| style=&quot;border: 1px solid #A0A0A0; border-radius: 12px; display: inline-table; background-color: transparent;padding-right: 20px;&quot;
|[[File:Crystal Clear app ktip.svg|left|30px|]]'''''Consider''''': Reflect on a skill you've always wanted to learn. What's stopping you now?
:''Suggestions'': Incorporate simple exercises into your daily routine, such as
::walking, yoga, or dancing, or consider joining a senior-friendly exercise group.&lt;br&gt;
:''Please note:'' Always consult your healthcare professional before starting any new exercise regimen.
|}

[[File:Mindfulness Meditation - Art4Good.jpg|thumb|317x317px|'''Figure 7'''''.'' ''Guided meditation is an excellent positive coping strategy''.]]

=== Positive coping strategies ===
* Develop resilience against challenges by adopting positive coping mechanisms such as meditation (see Figure 7), relaxation techniques, and engaging in spirituality.
* Positive psychology interventions focus on strengths and virtues and have shown efficacy in improving well-being and reducing depressive symptoms in older adults (Seligman et al., 2005).
* Incorporating gratitude into daily routines has been associated with positive emotional states, greater well-being, and better physical health in older adults (Emmons &amp; McCullough, 2003).
* Utilising humor is shown to not only uplift mood but also serve as an effective coping strategy for stress and life challenges. This is particularly relevant for elderly individuals who may face various forms of age-related adversity (Martin et al., 1993).

{| style=&quot;border: 1px solid #A0A0A0; border-radius: 12px; display: inline-table; background-color: transparent;padding-right: 20px;&quot;
|[[File:Crystal Clear app ktip.svg|left|30px|]]'''''Consider''''': Reflect on a past challenge. How did you cope? How can you refine this strategy?
:''Suggestions'': Embrace activities that foster mindfulness and reflection, such as
::meditation, gratitude journaling, or joining a support group.&lt;br&gt;
|}

{{RoundBoxTop|theme=13}}
[[File:Elderly man-zest for life-mentoring.png|thumb|327x182px|'''Figure 8'''. ''John rediscovered his zest for life through mentoring teenagers, a program organised by his local APEX club''.]]
'''''Can you relate''''' ...

John, at 80, often sat in his armchair, lost in memories of youthful adventures. He believed his golden years had long passed, with each day echoing the sentiments of a vibrant past. Collecting his mail one day, a flyer for the local book club caught his attention, hinting at a promise of engaging discussions. Deciding to join, John discovered that the club was more than just about books; it was a community bridging generational gaps through shared stories.

A young woman from the group, impressed by John's vast life experiences, introduced him to a mentoring program hosted by the local [[w:Apex Clubs of Australia|APEX]] club. Through mentoring, John shared his life lessons, offering wisdom and guidance to the younger generation. This exchange rekindled his understanding of the value of his own journey. Far from feeling that his best years were behind him, the interactions brought about a renewed sense of purpose (see Figure 8). Through the book club and mentoring, John not only found a revived passion for literature but also tapped into a deeper zest for life, seeing his age not as a limitation but as a testament to a life rich with experiences.
{{RoundBoxBottom}}

==Conclusion==
Ageing, despite its inherent challenges, can still be a period rich in growth, connection, and profound meaning. By integrating the principles of positive psychology with tailored interventions, an environment conducive to psychological flourishing in the elderly can be cultivated. Foundational theories such as resilience theory, self-determination theory, and well-being theory offer a robust framework for understanding and nurturing the various facets of flourishing.

Translating these theories into practical strategies and interventions empowers seniors to gracefully navigate the complexities of ageing, maintaining resilience and a sustained sense of well-being. Supporting flourishing in the elderly necessitates a commitment to social engagement, enhancing emotional well-being; continuous mental stimulation, promoting cognitive vitality; regular physical activity, supporting both physical and mental health; and the adoption of positive coping strategies to foster resilience. These strategies not only enhance their quality of life but also contribute positively to the broader community, as the elderly impart their wisdom, experience, and emotional stability.

Furthermore, dispelling misconceptions surrounding ageing and psychological flourishing is paramount. Challenging societal stereotypes and adopting a holistic view of ageing is essential, acknowledging the potential for growth, development, and fulfilment in this life stage.

In conclusion, supporting psychological flourishing in the elderly is a multifaceted endeavour. It demands a collaborative effort from individuals, communities, and society at large, aiming to create environments that nurture the emotional, cognitive, and physical aspects of well-being. In doing so, the invaluable contributions of the elderly are honoured, fostering a culture of respect, appreciation, and comprehensive support, ensuring that the senior years are indeed filled with growth, connection, and a profound sense of purpose.

==See also==
# [[Motivation and emotion/Book/2014/Ageing and emotion|Ageing and emotion]] (Book chapter, 2014)
# [[Motivation and emotion/Book/2023/Ageing and motivation|Ageing and motivation]] (Book chapter, 2023)
# [[Motivation and emotion/Book/2023/Nudge_theory_and_sedentary_behaviour|Nudge theory and sedentary behaviour]] (Book chapter, 2023)
# [[wikipedia:Self-determination_theory|Self-determination theory]] (Wikipedia)
# [[Motivation and emotion/Book/2023/Death_and_meaning_in_life|Death and meaning in life]] (Book chapter, 2023)
# [[Motivation and emotion/Book/2023/Community_resilience|Community resilience]] (Book chapter, 2023)

== References ==
{{Hanging indent|1=

Ball, K., Berch, D., Helmers, K., Jobe, J., Leveck, M., Marsiske, M., Morris, J., Rebok, G., Smith, D., Tennstedt, S., Unverzagt, F., &amp; Willis, S. (2002). Effects of cognitive training interventions with older adults. ''JAMA'', ''288''(18), 2271–2281. https://doi.org/10.1001/jama.288.18.2271

Bengtson, V. L. (2001). Beyond the nuclear family: The increasing importance of multigenerational bonds. ''Journal of Marriage and Family'', ''63''(1), 1–16.  https://doi.org/10.1111/j.1741-3737.2001.00001.x

Bonanno, G. A., Wortman, C. B., &amp; Nesse, R. M. (2004). Prospective patterns of resilience and maladjustment during widowhood. ''Psychology and Aging'', ''19''(2), 260–271. https://doi.org/10.1037/0882-7974.19.2.260

Cacioppo, J. T., Hughes, M. E., Waite, L. J., Hawkley, L. C., &amp; Thisted, R. A. (2006). Loneliness as a specific risk factor for depressive symptoms: Cross-sectional and longitudinal analyses. ''Psychology and Aging'', ''21''(1), 140–151. https://doi.org/10.1037/0882-7974.21.1.140

Carstensen, L. L., Isaacowitz, D. M., &amp; Charles, S. T. (1999). Taking time seriously: A theory of socioemotional selectivity. ''American Psychologist'', ''54''(3), 165–181. https://doi.org/10.1037/0003-066X.54.3.165

Charles, S. T., &amp; Carstensen, L. L. (2010). Social and emotional aging. ''Annual Review of Psychology'', ''61'', 383–409. https://doi.org/10.1146/annurev.psych.093008.100448

Chodzko-Zajko, W. J., Proctor, D. N., Fiatarone Singh, M. A., Minson, C. T., Nigg, C. R., Salem, G. J., &amp; Skinner, J. S. (2009). Exercise and physical activity for older adults. ''Medicine &amp; Science in Sports &amp; Exercise'', ''41''(7), 1510–1530. https://doi.org/10.1249/MSS.0b013e3181a0c95c

Cohen, G. D., Perlstein, S., Chapline, J., Kelly, J., Firth, K. M., &amp; Simmens, S. (2006). The impact of professionally conducted cultural programs on the physical health, mental health, and social functioning of older adults. ''The Gerontologist'', ''46''(6), 726–734. https://doi.org/10.1093/geront/46.6.726

Colcombe, S., &amp; Kramer, A. F. (2003). Fitness effects on the cognitive function of older adults: A meta-analytic study. ''Psychological Science'', ''14''(2), 125–130. https://doi.org/10.1111/1467-9280.t01-1-01430

Emmons, R. A., &amp; McCullough, M. E. (2003). Counting blessings versus burdens: An experimental investigation of gratitude and subjective well-being in daily life. ''Journal of Personality and Social Psychology'', ''84''(2), 377–389. https://doi.org/10.1037/0022-3514.84.2.377

Greenfield, E. A., &amp; Marks, N. F. (2004). Formal volunteering as a protective factor for older adults' psychological well-being. ''The Journals of Gerontology Series B: Psychological Sciences and Social Sciences'', ''59''(5), S258–S264. https://doi.org/10.1093/geronb/59.5.S258

Helliwell, J. F., Layard, R., &amp; Sachs, J. (2013). World happiness report. ''United Nations Sustainable Development Solutions Network''. http://eprints.lse.ac.uk/47487/

Hultsch, D. F., Hertzog, C., Small, B. J., &amp; Dixon, R. A. (1999). Use it or lose it: Engaged lifestyle as a buffer of cognitive decline in aging? ''Psychology and Aging'', ''14''(2), 245–263. https://doi.org/10.1037/0882-7974.14.2.245

Keyes, C. L. M. (2007). Promoting and protecting mental health as flourishing: A complementary strategy for improving national mental health. ''American Psychologist'', ''62''(2), 95–108. https://doi.org/10.1037/0003-066X.62.2.95

Liu, C. J., &amp; Latham, N. K. (2009). Progressive resistance strength training for improving physical function in older adults. ''The Cochrane Database of Systematic Reviews'', (3), CD002759. https://doi.org/10.1002/14651858.CD002759.pub2

Martin, R. A., Kuiper, N. A., Olinger, L. J., &amp; Dance, K. A. (1993). Humor, coping with stress, self-concept, and psychological well-being. ''Humor-International Journal of Humor Research'', ''6''(1), 89–104. https://doi.org/10.1515/humr.1993.6.1.89

Park, D. C., &amp; Bischof, G. N. (2013). The aging mind: neuroplasticity in response to cognitive training. ''Dialogues in Clinical Neuroscience'', ''15''(1), 109–119. https://doi.org/10.31887/DCNS.2013.15.1/dpark

Park, D. C., Lautenschlager, G., Hedden, T., Davidson, N. S., Smith, A. D., &amp; Smith, P. K. (2002). Models of visuospatial and verbal memory across the adult life span. ''Psychology and Aging'', ''17''(2), 299–320. https://doi.org/10.1037/0882-7974.17.2.299

Paterson, D. H., &amp; Warburton, D. E. (2010). Physical activity and functional limitations in older adults: a systematic review related to Canada's physical activity guidelines. ''International Journal of Behavioral Nutrition and Physical Activity'', ''7''(1), 1–22. https://doi.org/10.1186/1479-5868-7-38

Peterson, C., Ruch, W., Beermann, U., Park, N., &amp; Seligman, M. E. P. (2007). Strengths of character, orientations to happiness, and life satisfaction. ''The Journal of Positive Psychology'', ''2''(3) 149–156. https://doi.org/10.1080/17439760701228938

Reid, K. J., Baron, K. G., Lu, B., Naylor, E., Wolfe, L., &amp; Zee, P. C. (2010). Aerobic exercise improves self-reported sleep and quality of life in older adults with insomnia. ''Sleep Medicine'', ''11''(9), 934–940. https://doi.org/10.1016/j.sleep.2010.04.014

Ryan, R. M., &amp; Deci, E. L. (2018). ''Self-determination theory: Basic psychological needs in motivation, development, and wellness''. The Guildford Press.

Seligman, M. E. P. (2011). ''Flourish''. William Heinnemann.

Seligman, M. E. P., Steen, T. A., Park, N., &amp; Peterson, C. (2005). Positive psychology progress: Empirical validation of interventions. ''American Psychologist'', ''60''(5), 410.  https://doi.org/10.1037/0003-066X.60.5.410

Sin, N. L., &amp; Lyubomirsky, S. (2009). Enhancing well-being and alleviating depressive symptoms with positive psychology interventions: A practice-friendly meta-analysis. ''Journal of Clinical Psychology'', ''65''(5), 467–487. https://doi.org/10.1002/jclp.20593

Southwick, S. M., &amp; Charney, D. S. (2012) The science of resilience: Implications for the prevention and treatment of depression. ''Science'', ''338''(6103), 79–82. https://doi.org/10.1126/science.1222942
}}

== External links ==
# [https://youtu.be/Is6WvYAM3gg?si=KWHkkgmP47QQDf0O 100-year olds' guide to living your best life] (Allure; YouTube)
# [https://www.bluezones.com/2016/11/power-9/ Blue zones power 9: Lifestyle habits of the world’s healthiest, longest-lived people] (bluezones.com)
# [https://ppc.sas.upenn.edu/ Positive psychology center] (University of Pennsylvania)
# [https://youtu.be/bPBJJ-lxsXA?si=f2yDgG9X6lqiw4Cp The secret to successful aging] (Cathleen Toomey; TEDx Talks)

[[Category:{{#titleparts:{{PAGENAME}}|3}}]]
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[[Category:Motivation and emotion/Book/Ageing]]
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__TOC__

==Overview==
&lt;br&gt;
{{RoundBoxTop|theme=13}}
[[File:Elderly Woman, B&amp;W image by Chalmers Butterfield.jpg|thumb|157x196px|'''Figure 1'''. ''Sarah ...''. (image no longer visible after April 2025 due to Wiki Commons feedback and user request for deletion)]]
'''''Can you relate''''' ...

Sarah, aged 85, begins her day in a house echoing with memories. Faded photographs on the mantelpiece showcase her once pivotal role in the community. From hosting gatherings to being an active voice at the local council, she had always championed causes dear to her. But now, an overwhelming quietness envelops her heart, and she has lost touch with her sense of purpose.

Time has seen her closest friends move or pass away. Family visits, once frequent and filled with laughter, have become increasingly rare. This growing isolation weighs on Sarah, exacerbated by a society that seems to prioritise youth over experience. The fast-paced technological world further alienates her; smart devices and social media platforms feel foreign, exacerbating her deep-seated fear of irrelevance in a world that is rapidly evolving without her.

In a society increasingly centred on youth, how can seniors like Sarah reclaim their vitality and sense of meaning?
{{RoundBoxBottom}}
&lt;br&gt;
[[File:Elderly Couple Eating.jpg|thumb|250x250px|'''Figure 2'''. ''An elderly couple ...'' (image no longer visible after March 2026 due to Wiki Commons feedback and user request for deletion)]]

The [[wikipedia:Ageing#Successful_ageing|ageing]] population represents an invaluable repository of [[wikipedia:Wisdom|wisdom]], [[wikipedia:Experience|experience]], and [[wikipedia:Insight|insight]] (see Figure 2). Yet, many elderly individuals, much like Sarah, face challenges related to purpose, meaning, and overall psychological [[wikipedia:Well-being|well-being]]. This raises a question; can the elderly attain a state of psychological [[Motivation and emotion/Book/2018/Flourishing|flourishing]], even in the face of age-related adversities? The domain of [[wikipedia:Positive_psychology|positive psychology]] offers evidence-based strategies. Read on to explore what these strategies are and how they can be applied to support seniors in their journey toward a life filled with purpose, meaning, and joy.

Specifically, psychological flourishing in the elderly may be supported through a combination of the following four elements, especially when tailored to individual needs and preferences:

# [[wikipedia:Social_support|Social engagement]] and meaningful activities such as community involvement or [[wikipedia:Hobby#Psychological_role|hobbies]] (Helliwell et al., 2013)
# Mental stimulation via [[wikipedia:Brain_training|cognitive training]] programs can sustain mental acuity and may delay cognitive decline (Ball et al., 2002)
# [[Motivation and emotion/Book/2013/Motivating the elderly to exercise|Physical activity]] using exercises tailored to the elderly improve mood and cognitive function (Colcombe &amp; Kramer, 2003)
# Incorporating [[Motivation and emotion/Book/2020/Coping and emotion|positive coping strategies]] from positive psychology techniques, such as gratitude exercises, builds [[wikipedia:Psychological_resilience|resilience]] and satisfaction (Seligman et al., 2005)
&lt;br&gt;
{{RoundBoxTop|theme=3}}
'''Focus questions:'''
* What is psychological flourishing?
* Why is psychological flourishing important for the elderly?
* How does positive psychology foster psychological flourishing?
* What can seniors do to flourish?
{{RoundBoxBottom}}
&lt;br&gt;

== What is psychological flourishing? ==
Psychological flourishing, a term frequently linked to positive psychology, has gained prominence over the years. For elderly individuals, understanding and achieving psychological flourishing is paramount, considering the myriad challenges they confront during this stage of life (Park et al., 2002). The concept of psychological flourishing and its significance, particularly in the context of ageing, will be explored in depth. Psychological theory, such as self-determination theory and resilience theory, combine with empirical evidence to underpin the suggested four-element model. It is also essential to define and distinguish psychological flourishing from broader notions of general flourishing and well-being. Through understanding this distinction, the unique facets of flourishing and its potential impact on the lives of older individuals become evident. Common misconceptions about psychological flourishing are also addressed, ensuring clarity in subsequent discussions.

Psychological flourishing, a concept closely associated with positive psychology, has gained prominence in recent years. For elderly individuals, comprehending and attaining psychological flourishing is crucial, given the diverse challenges encountered in this life stage (Park et al., 2002). The concept of psychological flourishing and its significance, particularly in the context of ageing, will be explored in depth. Psychological theories such as self-determination theory and resilience theory, as well as empirical evidence, will be used to establish a four-element model of psychological flourishing. Additionally, it is vital to delineate psychological flourishing from broader concepts of general flourishing and well-being. By grasping these distinctions, the unique facets of flourishing and their potential transformative impacts on the lives of older individuals become evident. Common misconceptions about psychological flourishing will also be addressed to ensure clarity in the discussions that follow.

=== Definitions and distinctions ===
Psychological flourishing, often simply termed &quot;flourishing&quot;, signifies a pinnacle in human functioning. It represents a well-being state that extends beyond merely being free from distress or psychological issues. More than mere survival, flourishing connotes thriving, excelling, and feeling an intense sense of purpose and contentment (Seligman et al., 2005). This condition transcends mere happiness or the absence of mental illness (Sin &amp; Lyubomirsky, 2009). Flourishing provides a holistic view, emphasising positive human functioning across various areas, from relationships to personal growth and purpose. It captures positive emotions, a sense of engagement, strong social connections, and a profound understanding of life's meaning. Distinct from general well-being, flourishing underscores not just feeling good but also functioning effectively, accentuating both [[wikipedia:Hedonic_motivation|hedonic]] (feelings about life) and [[wikipedia:Eudaimonia|eudaimonic]] (functioning in life) well-being facets (Keyes, 2007).

Positive psychology’s well-being theory, also known as the PERMA model, conceptualises well-being as a state of comfort, health, or happiness (Seligman, 2011). The model comprises five elements: positive emotion, engagement, positive relationships, meaning, and accomplishment (Seligman, 2011). However, psychological flourishing transcends the ‘feeling good’ aspect of well-being. It encompasses optimal functioning in daily life, incorporating the key principles of self-determination theory: autonomy, relatedness, and competence.

=== Importance in the context of ageing ===
Ageing often elicits feelings of apprehension and resignation, influenced by perceptions of decline or limitation, both physically and mentally. Nevertheless, research indicates that many elderly individuals experience periods of growth, insight, and enhanced well-being. For example, the Adult Development and Enrichment Project (ADEPT), conducted by researchers at Pennsylvania State University, underscored the potential for intellectual and emotional growth even in advanced age (Hultsch et al., 1999). Psychological flourishing becomes paramount in this context, assisting the elderly in navigating challenges, capitalising on opportunities, and making meaningful contributions to their communities and personal lives, thereby maintaining their autonomy, relatedness, and competence.

Psychological flourishing challenges these notions of decline or limitation, highlighting the profound possibilities for growth, enrichment, and depth in later life (Paterson &amp; Warburton, 2010). Embracing flourishing can significantly transform the way elderly individuals perceive their later years, encouraging them to view this period as an opportunity for renewed purpose, deepened relationships, and the cultivation of new passions or interests. Furthermore, as elderly individuals inevitably face challenges, resilience theory provides a framework for developing a mindset rooted in flourishing (Southwick &amp; Charney, 2012; Bonanno et al., 2004). Such a capacity and mindset act as a solid foundation, empowering seniors to approach obstacles with resilience and poise (Seligman et al., 2005).

=== Misconceptions ===
Several misconceptions exist regarding the concept of psychological flourishing. Contrary to common belief, it does not imply a perpetual state of happiness or a life devoid of adversity. Psychological flourishing is not about the absence of negative emotions or challenges. Instead, it focuses on cultivating psychological tools and strategies to navigate adversity, empowering individuals to thrive amidst difficulties (Carstensen et al., 1999). Clarifying these misconceptions paves the way for a deeper understanding of how older individuals can achieve and maintain psychological flourishing.

To truly grasp psychological flourishing in older adults, it is crucial to debunk prevalent myths about the ageing process. If left unchallenged, these misconceptions could deter the implementation of strategies promoting well-being in later life (Carstensen et al., 1999; Charles &amp; Carstensen, 2010). Table 1 presents evidence-based counters to these myths, highlighting the potential for growth and vitality among the elderly.
{| class=&quot;wikitable&quot;
|+ Table 1. ''Dispelling Common Misconceptions about the Ageing Process''&lt;br&gt;
|-
! Myth !! Fact
|-
| Ageing leads to inevitable cognitive and emotional decline. || Ageing can offer growth opportunities with the right strategies.
|-
| Ageing means mental and physical decline. || Many older adults maintain high cognitive and physical activity levels with suitable exercises (Park et al., 2002; Hultsch et al., 1999).
|-
| Social withdrawal is an ageing inevitability. || While social circles might decrease in size, relationship quality often improves, and staying socially engaged is beneficial (Carstensen et al., 1999; Charles &amp; Carstensen, 2010).
|-
| Physical activity is risky for older adults. || Moderate physical activity improves mental and physical health in the elderly, refuting the risk myth (Paterson &amp; Warburton, 2010; Chodzko-Zajko et al., 2009).
|-
| Positive thinking is naive. || Adopting a positive mindset is empirically supported, and positive psychology boosts well-being in the elderly (Seligman et al., 2005; Sin &amp; Lyubomirsky, 2009).
|}

== Significance of psychological flourishing for the elderly ==
Psychological flourishing holds a special significance for the elderly (Seligman, 2011). As they navigate the complexities of ageing, fostering a sense of purpose, joy, and well-being is essential (Bonanno et al., 2004). The importance of psychological flourishing for older adults lies in its comprehensive contributions to their emotional, cognitive, and physical domains (Emmons &amp; McCullough, 2003; Hultsch et al., 1999). Drawing upon current research, the following discussion explores the transformative effects of a flourishing mindset.

=== Emotional benefits ===
Ageing introduces challenges that can be emotionally strenuous. However, research such as that by Peterson et al. (2007) indicates that character strengths, including love, gratitude, and hope, can significantly enhance emotional well-being. A good sense of humour provides further enhancement to emotional well-being according to research conducted by Martin et al. (1993). Flourishing ensures that the elderly possess the emotional resilience required to confront challenges, nurturing feelings of contentment and fulfilment (Bonanno et al., 2004). A senior who flourishes, for instance, might derive profound joy from meaningful relationships or experience a deep sense of gratitude for life's journey. This emotional equilibrium not only improves overall life quality but also acts as a safeguard against stress, rendering the ageing experience more rewarding (Bengtson, 2001; Carstensen et al., 1999).

=== Cognitive benefits ===
Psychological flourishing has discernible effects on cognitive function. A flourishing mind is an active one, continuously engaged in stimulating activities. Various researchers have observed that aspects like mental stimulation and engagement in activities such as walking, cycling, and sports play a role in cognitive maintenance (Bonanno et al., 2004; Emmons &amp; McCullough, 2003; Hultsch et al., 1999). Cross-sectional and retrospective studies, although lacking direct causation evidence, highlight the correlation between physical activity and cognitive function (Hultsch et al., 1999; Paterson &amp; Warburton, 2010). Moreover, character strengths such as curiosity and zest, as pinpointed by Peterson et al. (2007), equip the elderly with a passion for learning, keeping their cognitive faculties sharp and agile. It is a proactive stance against cognitive decline, ensuring that the elderly remain mentally active and engaged.

=== Impact on physical health and longevity ===
The connection between the mind and body is profound, particularly in the context of ageing. Research consistently underscores the positive effects of physical activity on functional outcomes, with an emphasis on the benefits of aerobic activities and structured exercise programs (Greenfield &amp; Marks, 2004; Paterson &amp; Warburton, 2010). Notably, regular participation in these activities is linked to decreased risks of functional impairments. Beyond the immediate physical benefits, psychological flourishing, with its focus on positive behaviours and proactive approaches, may also enhance longevity (Bengtson, 2001; Peterson et al. 2007). For example, seniors who cultivate qualities such as gratitude, as identified in studies by Peterson et al. (2007), are likely to adopt more health-promoting behaviours. This symbiotic relationship between a flourishing mind and a healthy body underscores the importance of psychological well-being in the elderly.

{{RoundBoxTop|theme=6}}
&lt;quiz display=simple&gt;
{Imagine you are chatting with a friend about the advantages of psychological flourishing in older adults. Which of the following is NOT a benefit of psychological flourishing in the elderly?
|type=&quot;()&quot;}
- Enhanced emotional resilience to confront challenges
+ Safeguard against financial issues
- Improved overall life quality
- Acts as a safeguard against stress

{A senior with a flourishing mindset might derive profound joy from meaningful relationships and experience a deep sense of gratitude for life's journey.
|type=&quot;()&quot;}
+ True
- False

{Research indicates that seniors who cultivate qualities like gratitude are more likely to:
|type=&quot;()&quot;}
- Avoid social interactions
- Abstain from any form of physical activity
+ Adopt additional health-promoting behaviours
- Experience rapid cognitive decline
&lt;/quiz&gt;
{{RoundBoxBottom}}

== The role of positive psychology ==
Positive psychology represents a rapidly growing field, concentrating on the cultivation of individual strengths, virtues, and peak human functioning, as highlighted by Seligman (2011). For elderly individuals, this approach provides a comprehensive viewpoint, tackling the intrinsic challenges associated with ageing while actively encouraging a flourishing life that extends past mere existence. Southwick and Charney's (2012) influential research underscores resilience, an essential aspect of positive psychology's resilience theory, as crucial in managing stress and trauma. This section explores relevant core principles of positive psychology that, illustrate its substantial utility in supporting psychological flourishing among seniors.

=== Foundational principles and theories ===
Positive psychology fundamentally examines the conditions and processes essential for optimal functioning, as investigated by Southwick and Charney (2012). It transforms the traditional focus on deficits and disorders, advocating instead for the amplification of strengths, positive emotions, and resilience. These elements are crucial for seniors, offering invaluable guidance through the complexities of later life. Core theoretical frameworks within this field, including resilience theory, self-determination theory, and well-being theory, shed light on various avenues available for seniors to discover meaning, purpose, and an elevated sense of well-being, even amidst the challenges life presents.

* '''Resilience theory''' in psychology delves into the complex processes that enable individuals to adapt positively in the face of adversity. Recognising resilience as a dynamic and developmental capacity, it encompasses both internal cognitive-affective mechanisms, such as emotion regulation and a robust sense of self-efficacy, and external factors like strong social support networks. This framework underscores the notion that resilience is not an innate trait; rather, it is a skill subject to cultivation. The theory also integrates the concept of post-traumatic growth, shedding light on how challenging experiences can contribute to personal development and a deeper sense of meaning in life. By considering individual differences and the developmental context, resilience theory provides a nuanced understanding of adaptive functioning, guiding interventions that aim to enhance resilience and promote positive psychological outcomes (Southwick &amp; Charney, 2012; Bonanno et al., 2004).
* '''Self-determination theory''' (SDT) stands as a prominent psychological framework elucidating the intrinsic and extrinsic factors driving human motivation and behaviour. Developed by Deci and Ryan, the theory posits that the fulfillment of three core psychological needs—autonomy, competence, and relatedness—is paramount for optimal functioning and well-being (Ryan &amp; Deci, 2018). Autonomy pertains to the sense of volition and self-governance in one’s actions, competence encompasses the need to master tasks and learn, and relatedness refers to the desire for meaningful connections and belongingness. In the context of flourishing, particularly among seniors, SDT offers valuable insights into how supportive environments and interventions can be crafted to nurture these fundamental needs. By emphasising the integral role of internal motivation and the social context in psychological well-being, SDT provides a nuanced and comprehensive understanding of the pathways leading to enhanced flourishing and life satisfaction. This theory, therefore, serves as a pivotal guide in the quest to foster resilient, connected, and self-determined lives in the elderly population.
* '''Well-being theory''', conceptualised by Martin Seligman, represents a pivotal shift in psychological thought, extending the focus from the mere alleviation of distress to the active cultivation of optimal living. Seligman (2011) introduced the PERMA model, which encapsulates five integral components of well-being: positive emotion, engagement, positive relationships, meaning, and accomplishment. Positive emotion emphasises the value of fostering joy and contentment, while engagement stresses the importance of deep absorption in activities, invoking a state of flow. Positive relationships highlight the necessity of nurturing supportive and enriching connections. Meaning pertains to pursuing a purpose larger than oneself, and accomplishment encompasses striving for mastery and achievement. For the elderly, these dimensions provide a comprehensive blueprint for flourishing, guiding interventions and practices aimed at enhancing life quality and fulfilment. Well-being theory thus stands as a foundational pillar in positive psychology, offering a nuanced and holistic understanding of the factors that contribute to a life well-lived, irrespective of one’s age.

=== Psychological functioning and its role ===
Research conducted by Southwick and Charney (2012) underscores the integral role of psychological resilience in combatting depression—a condition prevalent among the elderly (16.1% of 65+-year-old Australians in [https://www.abs.gov.au/statistics/health/health-conditions-and-risks/health-conditions-prevalence/latest-release 2020–21]). Resilience does not merely denote bouncing back from adversity but signifies thriving amidst it. The elderly, with a lifetime of experiences, possess unique strengths and coping mechanisms. By harnessing these, and understanding neurobiological and psychosocial factors, there is an avenue for improved psychological functioning, ultimately contributing to enhanced flourishing.

=== The resilience connection ===
Several studies highlight that resilience is intricately linked to genetics, environment, neurobiology, and psychosocial factors (Helliwell &amp; Sachs, 2013; Seligman, 2011; Southwick &amp; Charney, 2012). For seniors, building resilience becomes a pivotal tool in managing age-related stressors and traumas. Embracing resilience does not mean avoiding challenges but rather developing a robust toolkit to face them head-on. With strategies encompassing positive emotions, social support, coping skills, and more, resilience offers a protective layer, allowing seniors to remain buoyant in the face of life's trials.

=== Proactive approaches and interventions ===
Promoting flourishing among the elderly necessitates actionable steps grounded in empirical evidence. Southwick and Charney (2012) advocate for interventions such as modifying the biological and psychosocial environment, strengthening social support networks, enhancing cognitive engagements, and boosting physical health through aerobic exercises. It is crucial to tailor these approaches to the distinct needs of seniors, taking into account their physiological, cognitive, and socio-emotional states. When informed by positive psychology, the amalgamation of these interventions paves the way for a life marked by heightened contentment, purpose, and joy in the latter years. Figure 3 illustrates how the integration of these supportive interventions correlates with increased levels of psychological flourishing among the elderly.&lt;br&gt;

[[File:Psychological Flourishing - amalgamation model.png|center|thumb|400x400px|'''Figure 3'''. ''The cumulative impact of multiple interventions for supporting flourishing in the elderly''.]]

== What can seniors do to flourish? ==
Psychological flourishing in seniors is essential for their well-being and quality of life. This section delves into practical, evidence-based strategies derived from positive psychology to foster flourishing among the elderly. It emphasises the importance of social engagement, mental stimulation, physical activity, and positive coping techniques. Tailored to individual needs, these approaches aim to enhance purpose, joy, and meaningful connections, addressing the unique challenges faced by seniors in their pursuit of a fulfilling life.

=== Social engagement and meaningful activities ===	
[[File:Czech Senior Citizen's day 2019, showcase of Senior Citizens Writing Wikipedia project.jpg |thumb|250x250px|'''Figure 4'''.''Czech seniors participating in the Senior Citizens Writing Wikipedia project''.]]

* Building social connections rejuvenates the spirit and enhances well-being.
* Social relationships have been found to significantly influence mental and emotional well-being in the elderly. A strong social network can reduce feelings of loneliness and depression, thereby promoting psychological flourishing (Cacioppo et al., 2006).
* Forming bonds across different age groups can be mutually beneficial and specifically aid the elderly in feeling more connected and less isolated (Bengtson, 2001).
* Engaging in community activities or volunteering (see Figure 4) has been shown to provide a sense of purpose and improve mental health outcomes for seniors (Greenfield &amp; Marks, 2004).

{| style=&quot;border: 1px solid #A0A0A0; border-radius: 12px; display: inline-table; background-color: transparent;padding-right: 20px;&quot;
|[[File:Crystal Clear app ktip.svg|left|30px|]]'''''Consider''''': When was the last time you made a new friend? What activities can help you meet new people?
:''Suggestions'': Engage in community activities, reconnect with old friends, or even consider pet ownership.&lt;br&gt;
::Establish regular family visits or calls, attend local gatherings, or join clubs focused on specific interests.
|}

[[File:Saturday morning - Lannion (37031618972).jpg |thumb|317x317px|'''Figure 5'''''.'' ''An elderly man reading, an excellent form of mental stimulation''.]]

=== Mental stimulation ===
* Continuous learning has been linked to cognitive vitality and emotional well-being (Park &amp; Bischof, 2013).
* Activities that require creativity, such as painting or music, not only stimulate the brain but also contribute to a greater sense of purpose and joy, enhancing the quality of life (Cohen et al., 2006).
* Research indicates that lifelong learning and mental stimulation can help prevent cognitive decline and improve overall psychological well-being. Older adults who engage in mentally stimulating activities (see Figure 5) report higher levels of happiness and lower levels of depression (Hultsch et al., 1999).
* More recent research underscores the notion that the ageing brain is capable of new neural connections when subjected to novel learning experiences, enhancing cognitive and emotional well-being (Park &amp; Bischof, 2013).

{| style=&quot;border: 1px solid #A0A0A0; border-radius: 12px; display: inline-table; background-color: transparent;padding-right: 20px;&quot;
|[[File:Crystal Clear app ktip.svg|left|30px|]]'''''Consider''''': Reflect on a skill you've always wanted to learn. What's stopping you now?
:''Suggestions'': Take up a new hobby, join an interesting class, or simply read a new book.&lt;br&gt;
::Explore online courses tailored for seniors or consider group-based activities to foster intellectual engagement.
|}

=== Physical activity ===
[[File:Near Parking Spaces - Great Field Coronation parkrun (52875393179).jpg|thumb|300x280px|'''Figure 6'''''.'' ''Elderly man and woman taking part in the Great Field Coronation parkrun in Poundbury, Dorchester''.]]

* Regular physical activity boosts mental health and protects against age-related ailments such as heart disease, osteoporosis, and [https://en.wikipedia.org/wiki/Sarcopenia sarcopenia] (loss of muscle mass).
* Several studies show that regular physical exercise can improve cognitive function, thereby supporting not only physical but also mental well-being (Colcombe &amp; Kramer, 2003).
* Group exercise activities like tai chi or water aerobics offer not only physical benefits but also social interaction, which can further contribute to psychological well-being (Liu &amp; Latham, 2009).
* Improved sleep through regular physical activity is correlated with better mood and mental health, providing another pathway to psychological flourishing (Reid et al., 2010).

{| style=&quot;border: 1px solid #A0A0A0; border-radius: 12px; display: inline-table; background-color: transparent;padding-right: 20px;&quot;
|[[File:Crystal Clear app ktip.svg|left|30px|]]'''''Consider''''': Reflect on a skill you've always wanted to learn. What's stopping you now?
:''Suggestions'': Incorporate simple exercises into your daily routine, such as
::walking, yoga, or dancing, or consider joining a senior-friendly exercise group.&lt;br&gt;
:''Please note:'' Always consult your healthcare professional before starting any new exercise regimen.
|}

[[File:Mindfulness Meditation - Art4Good.jpg|thumb|317x317px|'''Figure 7'''''.'' ''Guided meditation is an excellent positive coping strategy''.]]

=== Positive coping strategies ===
* Develop resilience against challenges by adopting positive coping mechanisms such as meditation (see Figure 7), relaxation techniques, and engaging in spirituality.
* Positive psychology interventions focus on strengths and virtues and have shown efficacy in improving well-being and reducing depressive symptoms in older adults (Seligman et al., 2005).
* Incorporating gratitude into daily routines has been associated with positive emotional states, greater well-being, and better physical health in older adults (Emmons &amp; McCullough, 2003).
* Utilising humor is shown to not only uplift mood but also serve as an effective coping strategy for stress and life challenges. This is particularly relevant for elderly individuals who may face various forms of age-related adversity (Martin et al., 1993).

{| style=&quot;border: 1px solid #A0A0A0; border-radius: 12px; display: inline-table; background-color: transparent;padding-right: 20px;&quot;
|[[File:Crystal Clear app ktip.svg|left|30px|]]'''''Consider''''': Reflect on a past challenge. How did you cope? How can you refine this strategy?
:''Suggestions'': Embrace activities that foster mindfulness and reflection, such as
::meditation, gratitude journaling, or joining a support group.&lt;br&gt;
|}

{{RoundBoxTop|theme=13}}
[[File:Elderly man-zest for life-mentoring.png|thumb|327x182px|'''Figure 8'''. ''John rediscovered his zest for life through mentoring teenagers, a program organised by his local APEX club''.]]
'''''Can you relate''''' ...

John, at 80, often sat in his armchair, lost in memories of youthful adventures. He believed his golden years had long passed, with each day echoing the sentiments of a vibrant past. Collecting his mail one day, a flyer for the local book club caught his attention, hinting at a promise of engaging discussions. Deciding to join, John discovered that the club was more than just about books; it was a community bridging generational gaps through shared stories.

A young woman from the group, impressed by John's vast life experiences, introduced him to a mentoring program hosted by the local [[w:Apex Clubs of Australia|APEX]] club. Through mentoring, John shared his life lessons, offering wisdom and guidance to the younger generation. This exchange rekindled his understanding of the value of his own journey. Far from feeling that his best years were behind him, the interactions brought about a renewed sense of purpose (see Figure 8). Through the book club and mentoring, John not only found a revived passion for literature but also tapped into a deeper zest for life, seeing his age not as a limitation but as a testament to a life rich with experiences.
{{RoundBoxBottom}}

==Conclusion==
Ageing, despite its inherent challenges, can still be a period rich in growth, connection, and profound meaning. By integrating the principles of positive psychology with tailored interventions, an environment conducive to psychological flourishing in the elderly can be cultivated. Foundational theories such as resilience theory, self-determination theory, and well-being theory offer a robust framework for understanding and nurturing the various facets of flourishing.

Translating these theories into practical strategies and interventions empowers seniors to gracefully navigate the complexities of ageing, maintaining resilience and a sustained sense of well-being. Supporting flourishing in the elderly necessitates a commitment to social engagement, enhancing emotional well-being; continuous mental stimulation, promoting cognitive vitality; regular physical activity, supporting both physical and mental health; and the adoption of positive coping strategies to foster resilience. These strategies not only enhance their quality of life but also contribute positively to the broader community, as the elderly impart their wisdom, experience, and emotional stability.

Furthermore, dispelling misconceptions surrounding ageing and psychological flourishing is paramount. Challenging societal stereotypes and adopting a holistic view of ageing is essential, acknowledging the potential for growth, development, and fulfilment in this life stage.

In conclusion, supporting psychological flourishing in the elderly is a multifaceted endeavour. It demands a collaborative effort from individuals, communities, and society at large, aiming to create environments that nurture the emotional, cognitive, and physical aspects of well-being. In doing so, the invaluable contributions of the elderly are honoured, fostering a culture of respect, appreciation, and comprehensive support, ensuring that the senior years are indeed filled with growth, connection, and a profound sense of purpose.

==See also==
# [[Motivation and emotion/Book/2014/Ageing and emotion|Ageing and emotion]] (Book chapter, 2014)
# [[Motivation and emotion/Book/2023/Ageing and motivation|Ageing and motivation]] (Book chapter, 2023)
# [[Motivation and emotion/Book/2023/Nudge_theory_and_sedentary_behaviour|Nudge theory and sedentary behaviour]] (Book chapter, 2023)
# [[wikipedia:Self-determination_theory|Self-determination theory]] (Wikipedia)
# [[Motivation and emotion/Book/2023/Death_and_meaning_in_life|Death and meaning in life]] (Book chapter, 2023)
# [[Motivation and emotion/Book/2023/Community_resilience|Community resilience]] (Book chapter, 2023)

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{{Hanging indent|1=

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Bengtson, V. L. (2001). Beyond the nuclear family: The increasing importance of multigenerational bonds. ''Journal of Marriage and Family'', ''63''(1), 1–16.  https://doi.org/10.1111/j.1741-3737.2001.00001.x

Bonanno, G. A., Wortman, C. B., &amp; Nesse, R. M. (2004). Prospective patterns of resilience and maladjustment during widowhood. ''Psychology and Aging'', ''19''(2), 260–271. https://doi.org/10.1037/0882-7974.19.2.260

Cacioppo, J. T., Hughes, M. E., Waite, L. J., Hawkley, L. C., &amp; Thisted, R. A. (2006). Loneliness as a specific risk factor for depressive symptoms: Cross-sectional and longitudinal analyses. ''Psychology and Aging'', ''21''(1), 140–151. https://doi.org/10.1037/0882-7974.21.1.140

Carstensen, L. L., Isaacowitz, D. M., &amp; Charles, S. T. (1999). Taking time seriously: A theory of socioemotional selectivity. ''American Psychologist'', ''54''(3), 165–181. https://doi.org/10.1037/0003-066X.54.3.165

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Chodzko-Zajko, W. J., Proctor, D. N., Fiatarone Singh, M. A., Minson, C. T., Nigg, C. R., Salem, G. J., &amp; Skinner, J. S. (2009). Exercise and physical activity for older adults. ''Medicine &amp; Science in Sports &amp; Exercise'', ''41''(7), 1510–1530. https://doi.org/10.1249/MSS.0b013e3181a0c95c

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Colcombe, S., &amp; Kramer, A. F. (2003). Fitness effects on the cognitive function of older adults: A meta-analytic study. ''Psychological Science'', ''14''(2), 125–130. https://doi.org/10.1111/1467-9280.t01-1-01430

Emmons, R. A., &amp; McCullough, M. E. (2003). Counting blessings versus burdens: An experimental investigation of gratitude and subjective well-being in daily life. ''Journal of Personality and Social Psychology'', ''84''(2), 377–389. https://doi.org/10.1037/0022-3514.84.2.377

Greenfield, E. A., &amp; Marks, N. F. (2004). Formal volunteering as a protective factor for older adults' psychological well-being. ''The Journals of Gerontology Series B: Psychological Sciences and Social Sciences'', ''59''(5), S258–S264. https://doi.org/10.1093/geronb/59.5.S258

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Keyes, C. L. M. (2007). Promoting and protecting mental health as flourishing: A complementary strategy for improving national mental health. ''American Psychologist'', ''62''(2), 95–108. https://doi.org/10.1037/0003-066X.62.2.95

Liu, C. J., &amp; Latham, N. K. (2009). Progressive resistance strength training for improving physical function in older adults. ''The Cochrane Database of Systematic Reviews'', (3), CD002759. https://doi.org/10.1002/14651858.CD002759.pub2

Martin, R. A., Kuiper, N. A., Olinger, L. J., &amp; Dance, K. A. (1993). Humor, coping with stress, self-concept, and psychological well-being. ''Humor-International Journal of Humor Research'', ''6''(1), 89–104. https://doi.org/10.1515/humr.1993.6.1.89

Park, D. C., &amp; Bischof, G. N. (2013). The aging mind: neuroplasticity in response to cognitive training. ''Dialogues in Clinical Neuroscience'', ''15''(1), 109–119. https://doi.org/10.31887/DCNS.2013.15.1/dpark

Park, D. C., Lautenschlager, G., Hedden, T., Davidson, N. S., Smith, A. D., &amp; Smith, P. K. (2002). Models of visuospatial and verbal memory across the adult life span. ''Psychology and Aging'', ''17''(2), 299–320. https://doi.org/10.1037/0882-7974.17.2.299

Paterson, D. H., &amp; Warburton, D. E. (2010). Physical activity and functional limitations in older adults: a systematic review related to Canada's physical activity guidelines. ''International Journal of Behavioral Nutrition and Physical Activity'', ''7''(1), 1–22. https://doi.org/10.1186/1479-5868-7-38

Peterson, C., Ruch, W., Beermann, U., Park, N., &amp; Seligman, M. E. P. (2007). Strengths of character, orientations to happiness, and life satisfaction. ''The Journal of Positive Psychology'', ''2''(3) 149–156. https://doi.org/10.1080/17439760701228938

Reid, K. J., Baron, K. G., Lu, B., Naylor, E., Wolfe, L., &amp; Zee, P. C. (2010). Aerobic exercise improves self-reported sleep and quality of life in older adults with insomnia. ''Sleep Medicine'', ''11''(9), 934–940. https://doi.org/10.1016/j.sleep.2010.04.014

Ryan, R. M., &amp; Deci, E. L. (2018). ''Self-determination theory: Basic psychological needs in motivation, development, and wellness''. The Guildford Press.

Seligman, M. E. P. (2011). ''Flourish''. William Heinnemann.

Seligman, M. E. P., Steen, T. A., Park, N., &amp; Peterson, C. (2005). Positive psychology progress: Empirical validation of interventions. ''American Psychologist'', ''60''(5), 410.  https://doi.org/10.1037/0003-066X.60.5.410

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}}

== External links ==
# [https://youtu.be/Is6WvYAM3gg?si=KWHkkgmP47QQDf0O 100-year olds' guide to living your best life] (Allure; YouTube)
# [https://www.bluezones.com/2016/11/power-9/ Blue zones power 9: Lifestyle habits of the world’s healthiest, longest-lived people] (bluezones.com)
# [https://ppc.sas.upenn.edu/ Positive psychology center] (University of Pennsylvania)
# [https://youtu.be/bPBJJ-lxsXA?si=f2yDgG9X6lqiw4Cp The secret to successful aging] (Cathleen Toomey; TEDx Talks)

[[Category:{{#titleparts:{{PAGENAME}}|3}}]]
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[[Category:Motivation and emotion/Book/Ageing]]
[[Category:Motivation and emotion/Book/Flourishing]]</text>
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    <title>Talk:Motivation and emotion/Book/2023/Flourishing in the elderly</title>
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      <text bytes="16642" sha1="3q3y1lhxzykje1r9qs0qjmnr5xrde3f" xml:space="preserve">==Initial suggestions==
{{ping|JorjaFive}} Thanks for tackling this topic.
Some initial suggestions:
* Check out other related chapters and see how you can build on, link to, and integrate with that work:
** [[:Category:Motivation and emotion/Book/Ageing]]
** [[:Category:Motivation and emotion/Book/Positive psychology]]
* What psychological theories can help to understand? What is the main research in this area?
Let me know if I can do anything else as you go along.
Sincerely, James -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 11:28, 7 August 2023 (UTC)

==Comments &amp; suggestions==
Hi Jorja, 
Just a quick suggestion, 
I noticed you had listed the suggested book topics a change, one really quick way you could make progress is to add those under the ''See Also'' heading. 
hope this helps
--[[User:U3209567|U3209567]] ([[User talk:U3209567|discuss]] • [[Special:Contributions/U3209567|contribs]]) 08:28, 16 August 2023 (UTC)

:Thank you Thomas - that's a great suggestion :) [[User:JorjaFive|JorjaFive]] ([[User talk:JorjaFive|discuss]] • [[Special:Contributions/JorjaFive|contribs]]) 10:25, 20 August 2023 (UTC)
==Cultural variation in flourishing==
May be of interest: https://link.springer.com/article/10.1007/s10902-023-00677-9 Sincerely, James -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 13:05, 6 September 2023 (UTC)

:Thanks Dr James, yes - it is an interesting article. Regards, Jorja [[User:JorjaFive|JorjaFive]] ([[User talk:JorjaFive|discuss]] • [[Special:Contributions/JorjaFive|contribs]]) 08:22, 24 September 2023 (UTC)

==Comments &amp; suggestions==
Hi @[[user:JorjaFive|JorjaFive]], I've made some minor edits and added some [[Template:Clarification_templates|callouts]]. Here are some suggestions:
* It'll be good to see some scenarios added throughout and/or key points/questions, as you've noted in 'consider' boxes. 
* In the [[Motivation_and_emotion/Book/2023/Flourishing_in_the_elderly#Misconceptions|misconceptions section]], place 'myth' and 'fact' examples into a feature box, or even format as a quiz.
* A suggestion I received in my development feedback is to add pictures in my scenario boxes, and that would be a good addition for you as well. 
I'm looking forward to seeing how your chapter develops! --[[User:U3213682|U3213682]] ([[User talk:U3213682|discuss]] • [[Special:Contributions/U3213682|contribs]]) 04:42, 27 September 2023 (UTC)

:Hi Robbie @[[User:U3213682|U3213682]], thanks for your suggestions, some good ones for sure :) Regards, Jorja [[User:JorjaFive|JorjaFive]] ([[User talk:JorjaFive|discuss]] • [[Special:Contributions/JorjaFive|contribs]]) 05:11, 28 September 2023 (UTC)

Hello Jorja, 

I really appreciated you covering this topic, as I feel the eldery age group has not been a key focus in terms of previous book chapters. I am looking forward to reading your completed work! I watched this TED Talk which covers successful ageing, and thought it may be of interest to you. This can be a useful source under 'external links'. 
https://youtu.be/bPBJJ-lxsXA?si=CHaRr3raZG4Ofrpy

Angela 

([[User:U3227684|U3227684]] ([[User talk:U3227684|discuss]] • [[Special:Contributions/U3227684|contribs]])=U3227684) ([[User:U3227684|U3227684]] ([[User talk:U3227684|discuss]] • [[Special:Contributions/U3227684|contribs]])=U3227684 19:30 5 October 2023 (UTC). 

&lt;!-- Official topic development feedback --&gt;
{{METF/2023
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&lt;!-- Title --&gt;
# The title is correctly worded and formatted
# The sub-title is correctly worded and formatted
|2=
&lt;!-- Headings --&gt;
# Promising 1-level heading structure – could benefit from further development by expanding the structure to use second-level headings
# Adopt closer alignment between the sub-title, focus questions, and top-level headings
# Aim for 3 to 6 top-level headings between the Overview and Conclusion, with up to a similar number of sub-headings for large sections
|3=
&lt;!-- Overview--&gt;
# Excellent - Scenario, image, evocative description of the problem/topic, relevant psychological theory/research, and focus questions
# Closer alignment between the sub-title, focus questions, and top-level headings is recommended
# Remove overcapitalisation e.g., Positive Psychology -&gt; positive psychology
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&lt;!-- Key points--&gt;
# Excellent – key points are well developed for each section, with relevant citations
# Conclusion (the most important section):
## Well developed
|5=
&lt;!-- Figure --&gt;
# Excellent - A relevant figure is presented, captioned, and cited
|6=
&lt;!-- Learning feature --&gt;
# Include in-text [[m:Help:Interwiki linking|interwiki links]] for the first mention of key terms to relevant Wikipedia articles and/or to other relevant book chapters
# Consider including quiz question(s), table(s) etc.
|7=
&lt;!-- References --&gt;
# Excellent
|8=
&lt;!-- Resources --&gt;
# See also
## Excellent
# External links
## Excellent
|9=
&lt;!-- User page --&gt;
# Good
# Description about self provided
# Consider linking to your [https://portfolio.canberra.edu.au/ eportfolio] page and/or any other professional online profile or resume such as [https://www.linkedin.com/ LinkedIn]. This is not required, but it can be useful to interlink your professional networks.
# Link provided to book chapter
|10=
&lt;!-- Social contribution --&gt;
# Excellent – at least three different types of contributions with direct link(s) to evidence
}}
-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 11:26, 29 September 2023 (UTC)

== Edited figure ==

Hello, noticed there was inconsistency in your figures. some were ''italics'' and some were '''bold.''' I changed them all to bold. James mentioned so long they are consistent throughout then that should be fine.

Thanks [[User:U3217955|U3217955]] ([[User talk:U3217955|discuss]] • [[Special:Contributions/U3217955|contribs]]) 23:54, 5 October 2023 (UTC)

:Hi Thrainn @[[User:U3217955|U3217955]], I appreciate you letting me know about the inconsistent figure captions :)
:Regards, Jorja [[User:JorjaFive|JorjaFive]] ([[User talk:JorjaFive|discuss]] • [[Special:Contributions/JorjaFive|contribs]]) 02:10, 12 October 2023 (UTC)
&lt;!-- Official book chapter feedback --&gt;
{{MEBF/2023
|1=
&lt;!-- Overall comments... --&gt;
# Overall, this is an excellent chapter. It successfully uses psychological theory and research to address a practical, real-world phenomenon or problem.
&lt;!-- Overall – Citations --&gt;
# Excellent use of academic, peer-reviewed citations to support claims
&lt;!-- Overall – Word count --&gt;
# Well over the [[Motivation and emotion/Assessment/Chapter#Word_count|maximum word count]]. The content beyond 4,000 words has been ignored for marking purposes.
JW edit - ah, yes, I see we '''were''' meant to include our Reference list in the word count - my mistake
&lt;!-- Overall – Copyedits --&gt;
# For additional feedback, see the following comments and [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2023%2FFlourishing_in_the_elderly&amp;diff=2582282&amp;oldid=2582045 these copyedits]
|2=
&lt;!-- Overview comments... --&gt;
# Well developed
&lt;!-- Overview – Case study --&gt;
# Engages reader interest via a case study or scenario in a feature box with a relevant image
&lt;!-- Overview – Explains problem --&gt;
# Clearly explains the problem or phenomenon
&lt;!-- Overview – Focus questions --&gt;
# Clear focus questions
# The focus questions could be improved by being more specific to the topic (i.e., the sub-title)
JW edit - I would be grateful of any explicit suggestions - thanks :)
# Use [[w:Open-ended question|open-ended]] rather than [[Closed-ended question|closed-ended]] focus questions
JW edit - curious about this feedback - as I understand it - each of my four questions '''are''' open-ended - no simple yes/no or static response would answer the questions I posed :/
# Provide focus questions in a feature box to help guide the reader and structure the chapter
JW edit - again, curious about this feedback - my focus questions are in a feature box :/
|3=
&lt;!-- Theory comments... --&gt;
&lt;!-- Theory – Breadth --&gt;
# An excellent range of relevant theories are selected, described, and explained
&lt;!-- Theory – Builds on --&gt;
# Builds effectively on related chapters and Wikipedia articles
&lt;!-- Theory – Depth --&gt;
# Very good depth is provided about relevant theory(ies)
&lt;!-- Theory – Tables/Lists/Figures --&gt;
# Effective use of tables, figures, and/or lists are to help clearly convey key theoretical information
&lt;!-- Theory – Citations --&gt;
# Key citations are well used
&lt;!-- Theory – Examples --&gt;
# Excellent use of examples to illustrate theoretical concepts
|4=
&lt;!-- Research comments... --&gt;
&lt;!-- Research – Key findings --&gt;
# Very good to excellent review of relevant research
# More detail about key studies would be ideal
# Any systematic reviews or meta-analyses in this area?
&lt;!-- Research – Critical thinking --&gt;
# Basic critical thinking about relevant research is evident
# Critical thinking about research could be further evidenced by:
## describing the methodology (e.g., sample, measures) in important studies
## discussing the direction of relationships
## considering the strength of relationships
## acknowledging limitations
## pointing out critiques/counterarguments
## suggesting ''specific'' directions for future research
|5=
&lt;!-- Integration comments... --&gt;
# Excellent integration between theory and research
|6=
&lt;!-- Conclusion comments... --&gt;
# Good summary and conclusion
# Only the first quarter is considered for marking purposes due to being over the maximum word count
# Remind the reader about the importance of the problem or phenomenon of interest
# Key points are well summarised
# Add practical, take-home message(s)
|7=
&lt;!-- Written expression – Style comments... --&gt;
&lt;!-- Written expression – Written expression --&gt;
# Written expression
## Overall, the quality of written expression is excellent
## The main area for improvement is making the writing 20% shorter
&lt;!-- Written expression – Layout --&gt;
# Layout
## The chapter is well structured, with major sections using sub-sections
## Include an introductory paragraph before branching into the sub-sections (see {{expand}} tags)
&lt;!-- Written expression – Grammar --&gt;
# Grammar, spelling, and proofreading are excellent
&lt;!-- Written expression – APA style --&gt;
# APA style
## Use double (not single) quotation marks &quot;to introduce a word or phrase used as an ironic comment, as slang, or as an invented or coined expression&quot; (APA 7th ed., 2020, p. 159)
&lt;!-- Written expression – Figures --&gt;
## Figures
### Figures are very well captioned
### Each Figure is referred to at least once within the main text
&lt;!-- Written expression – Tables --&gt;
## Tables
### Table captions use APA style or wiki style
### Each Table is referred to at least once within the main text
&lt;!-- Written expression – Citations --&gt;
## Citations use excellent APA style (7th ed.). For example:
### List multiple citations in alphabetical order by first author surname
&lt;!-- Written expression – References --&gt;
## References use excellent APA style:
|8=
&lt;!-- Learning features comments... --&gt;
# Excellent use of learning features
&lt;!-- Learning features - Links --&gt;
# Excellent use of embedded in-text [[m:Help:Interwiki linking|interwiki links]] to Wikipedia articles
# Good use of embedded in-text links to related [[Motivation and emotion/Book|book chapters]]. Embedding in-text links to related book chapters helps to integrate this chapter into the broader book project.
&lt;!-- Learning features – Images etc. --&gt;
# Excellent use of image(s)
# Excellent use of table(s)
# Excellent use of feature box(es)
# Excellent use of case studies or examples
&lt;!-- Learning features – Quizzes --&gt;
# Excellent use of quiz(zes) and/or reflection question(s)
&lt;!-- Learning features – See also, external links --&gt;
# Excellent use of interwiki links in the &quot;See also&quot; section
## Use alphabetical order
# Excellent use of external links in the &quot;External links&quot; section
|9=
&lt;!-- Social contribution comments... --&gt;
# ~30 logged, useful, minor to major social contributions with direct links to evidence
# Thanks very much for your extensive contributions
}}
-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 02:43, 21 November 2023 (UTC)
{{MEMF/2023
|1=
&lt;!-- Overall comments ... --&gt;
&lt;!-- Overall - Overall --&gt;
# Overall, this is an excellent presentation
|2=
&lt;!-- Overview comments ... --&gt;
&lt;!-- Overview - Opening --&gt;
# An opening slide with the title and sub-title is displayed and narrated — this helps to clearly convey the purpose of the presentation
&lt;!-- Overview - Introduction --&gt;
# The presentation has a basic introduction to engage audience interest
&lt;!-- Overview - Context --&gt;
# A context for the presentation is established
&lt;!-- Overview - Focus --&gt;
# Focus questions and/or an outline of topics are presented
|3=
&lt;!-- Content comments ... --&gt;
# Comments about the book chapter may also apply to this section
&lt;!-- Content - Addresses topic --&gt;
# The presentation addresses the topic
&lt;!-- Content - Amount --&gt;
# An appropriate amount of content is presented — not too much or too little
&lt;!-- Content - Theory --&gt;
# The presentation makes excellent use of relevant psychological theory
&lt;!-- Content - Research --&gt;
# The presentation makes good use of relevant psychological research
# Ideally, make more explicit use of research
&lt;!-- Content - Citations --&gt;
# The presentation makes very good use of citations to support claims
&lt;!-- Content - Examples --&gt;
# The presentation makes very good use of one or more examples or case studies or practical advice
|4=
&lt;!-- Conclusion comments ... --&gt;
&lt;!-- Conclusion - Slide --&gt;
# The conclusion provides a good summary of the most relevant psychological theory and research about this topic
# The conclusion provides very good take-home message(s)
&lt;!-- Conclusion - Time --&gt;
# The Conclusion only partly fitted within the time limit
# The Conclusion did not fit within the time limit
JW edit - curious about feedback points 3 &amp; 4 - my presentation registers as 2 minutes 59 seconds on YouTube :/
|5=
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# The presentation makes very good use of narrated audio
&lt;!-- Audio - Pacing --&gt;
# Audio communication is well paced
&lt;!-- Audio - Voice --&gt;
# Good [[w:Intonation (linguistics)|intonation]]
&lt;!-- Audio - Practice --&gt;
# The narration is well practiced and/or performed
&lt;!-- Audio - Recording quality --&gt;
# Audio recording quality was very good
&lt;!-- Audio - Topic --&gt;
# The narrated [[#Content|content]] is well matched to the target topic
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&lt;!-- Video - Overall --&gt;
# Overall, visual display quality is very good
&lt;!-- Video - Video, Image, Text --&gt;
# The presentation makes very good use of text and image based slides
&lt;!-- Video - Font --&gt;
# The font size is sufficiently large to make it easy to read
# The amount of text presented per slide makes it easy to read and listen at the same time
&lt;!-- Video - Images --&gt;
# The visual communication is effectively supplemented by images and/or diagrams
&lt;!-- Video - Production --&gt;
# The presentation is well produced using simple tools
&lt;!-- Video - Topic --&gt;
# The visual [[#Content|content]] is well matched to the target topic
|7=
&lt;!-- Meta-data comments ... --&gt;
&lt;!-- Meta-data - Title/sub-title --&gt;
# The chapter title and sub-title (or an abbreviation to fit within the 100 character limit) are used in the name of the presentation — this helps to clearly convey the purpose of the presentation
&lt;!-- Meta-data - Description --&gt;
# An excellent written description of the presentation is provided
&lt;!-- Meta-data - Links --&gt;
# Links to and from the book chapter are provided
# An active hyperlink to the book chapter is provided
|8=
&lt;!-- Licensing comments ... --&gt;
&lt;!-- Licensing - Images --&gt;
# Image sources and their copyright status are communicated
&lt;!-- Licensing - Presentation --&gt;
# A copyright license for the presentation is provided
}}
-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 02:31, 22 November 2023 (UTC)

== AI slop ==

{{ping| Jtneill }} There are an enormous amount of high quality photographic and artistic images in [[Commons:Category:Old people]]. I think you will be able to find adequate replacements for all AI images in this resource. [[User:Dronebogus|Dronebogus]] ([[User talk:Dronebogus|discuss]] • [[Special:Contributions/Dronebogus|contribs]]) 01:16, 10 April 2026 (UTC)</text>
      <sha1>3q3y1lhxzykje1r9qs0qjmnr5xrde3f</sha1>
    </revision>
    <revision>
      <id>2804026</id>
      <parentid>2804022</parentid>
      <timestamp>2026-04-10T01:22:35Z</timestamp>
      <contributor>
        <username>Jtneill</username>
        <id>10242</id>
      </contributor>
      <comment>/* AI slop */ Reply</comment>
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      <text bytes="16993" sha1="4crjtgch0o8ici18ycf2cvk9o7l9a0u" xml:space="preserve">==Initial suggestions==
{{ping|JorjaFive}} Thanks for tackling this topic.
Some initial suggestions:
* Check out other related chapters and see how you can build on, link to, and integrate with that work:
** [[:Category:Motivation and emotion/Book/Ageing]]
** [[:Category:Motivation and emotion/Book/Positive psychology]]
* What psychological theories can help to understand? What is the main research in this area?
Let me know if I can do anything else as you go along.
Sincerely, James -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 11:28, 7 August 2023 (UTC)

==Comments &amp; suggestions==
Hi Jorja, 
Just a quick suggestion, 
I noticed you had listed the suggested book topics a change, one really quick way you could make progress is to add those under the ''See Also'' heading. 
hope this helps
--[[User:U3209567|U3209567]] ([[User talk:U3209567|discuss]] • [[Special:Contributions/U3209567|contribs]]) 08:28, 16 August 2023 (UTC)

:Thank you Thomas - that's a great suggestion :) [[User:JorjaFive|JorjaFive]] ([[User talk:JorjaFive|discuss]] • [[Special:Contributions/JorjaFive|contribs]]) 10:25, 20 August 2023 (UTC)
==Cultural variation in flourishing==
May be of interest: https://link.springer.com/article/10.1007/s10902-023-00677-9 Sincerely, James -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 13:05, 6 September 2023 (UTC)

:Thanks Dr James, yes - it is an interesting article. Regards, Jorja [[User:JorjaFive|JorjaFive]] ([[User talk:JorjaFive|discuss]] • [[Special:Contributions/JorjaFive|contribs]]) 08:22, 24 September 2023 (UTC)

==Comments &amp; suggestions==
Hi @[[user:JorjaFive|JorjaFive]], I've made some minor edits and added some [[Template:Clarification_templates|callouts]]. Here are some suggestions:
* It'll be good to see some scenarios added throughout and/or key points/questions, as you've noted in 'consider' boxes. 
* In the [[Motivation_and_emotion/Book/2023/Flourishing_in_the_elderly#Misconceptions|misconceptions section]], place 'myth' and 'fact' examples into a feature box, or even format as a quiz.
* A suggestion I received in my development feedback is to add pictures in my scenario boxes, and that would be a good addition for you as well. 
I'm looking forward to seeing how your chapter develops! --[[User:U3213682|U3213682]] ([[User talk:U3213682|discuss]] • [[Special:Contributions/U3213682|contribs]]) 04:42, 27 September 2023 (UTC)

:Hi Robbie @[[User:U3213682|U3213682]], thanks for your suggestions, some good ones for sure :) Regards, Jorja [[User:JorjaFive|JorjaFive]] ([[User talk:JorjaFive|discuss]] • [[Special:Contributions/JorjaFive|contribs]]) 05:11, 28 September 2023 (UTC)

Hello Jorja, 

I really appreciated you covering this topic, as I feel the eldery age group has not been a key focus in terms of previous book chapters. I am looking forward to reading your completed work! I watched this TED Talk which covers successful ageing, and thought it may be of interest to you. This can be a useful source under 'external links'. 
https://youtu.be/bPBJJ-lxsXA?si=CHaRr3raZG4Ofrpy

Angela 

([[User:U3227684|U3227684]] ([[User talk:U3227684|discuss]] • [[Special:Contributions/U3227684|contribs]])=U3227684) ([[User:U3227684|U3227684]] ([[User talk:U3227684|discuss]] • [[Special:Contributions/U3227684|contribs]])=U3227684 19:30 5 October 2023 (UTC). 

&lt;!-- Official topic development feedback --&gt;
{{METF/2023
|1=
&lt;!-- Title --&gt;
# The title is correctly worded and formatted
# The sub-title is correctly worded and formatted
|2=
&lt;!-- Headings --&gt;
# Promising 1-level heading structure – could benefit from further development by expanding the structure to use second-level headings
# Adopt closer alignment between the sub-title, focus questions, and top-level headings
# Aim for 3 to 6 top-level headings between the Overview and Conclusion, with up to a similar number of sub-headings for large sections
|3=
&lt;!-- Overview--&gt;
# Excellent - Scenario, image, evocative description of the problem/topic, relevant psychological theory/research, and focus questions
# Closer alignment between the sub-title, focus questions, and top-level headings is recommended
# Remove overcapitalisation e.g., Positive Psychology -&gt; positive psychology
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&lt;!-- Key points--&gt;
# Excellent – key points are well developed for each section, with relevant citations
# Conclusion (the most important section):
## Well developed
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&lt;!-- Figure --&gt;
# Excellent - A relevant figure is presented, captioned, and cited
|6=
&lt;!-- Learning feature --&gt;
# Include in-text [[m:Help:Interwiki linking|interwiki links]] for the first mention of key terms to relevant Wikipedia articles and/or to other relevant book chapters
# Consider including quiz question(s), table(s) etc.
|7=
&lt;!-- References --&gt;
# Excellent
|8=
&lt;!-- Resources --&gt;
# See also
## Excellent
# External links
## Excellent
|9=
&lt;!-- User page --&gt;
# Good
# Description about self provided
# Consider linking to your [https://portfolio.canberra.edu.au/ eportfolio] page and/or any other professional online profile or resume such as [https://www.linkedin.com/ LinkedIn]. This is not required, but it can be useful to interlink your professional networks.
# Link provided to book chapter
|10=
&lt;!-- Social contribution --&gt;
# Excellent – at least three different types of contributions with direct link(s) to evidence
}}
-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 11:26, 29 September 2023 (UTC)

== Edited figure ==

Hello, noticed there was inconsistency in your figures. some were ''italics'' and some were '''bold.''' I changed them all to bold. James mentioned so long they are consistent throughout then that should be fine.

Thanks [[User:U3217955|U3217955]] ([[User talk:U3217955|discuss]] • [[Special:Contributions/U3217955|contribs]]) 23:54, 5 October 2023 (UTC)

:Hi Thrainn @[[User:U3217955|U3217955]], I appreciate you letting me know about the inconsistent figure captions :)
:Regards, Jorja [[User:JorjaFive|JorjaFive]] ([[User talk:JorjaFive|discuss]] • [[Special:Contributions/JorjaFive|contribs]]) 02:10, 12 October 2023 (UTC)
&lt;!-- Official book chapter feedback --&gt;
{{MEBF/2023
|1=
&lt;!-- Overall comments... --&gt;
# Overall, this is an excellent chapter. It successfully uses psychological theory and research to address a practical, real-world phenomenon or problem.
&lt;!-- Overall – Citations --&gt;
# Excellent use of academic, peer-reviewed citations to support claims
&lt;!-- Overall – Word count --&gt;
# Well over the [[Motivation and emotion/Assessment/Chapter#Word_count|maximum word count]]. The content beyond 4,000 words has been ignored for marking purposes.
JW edit - ah, yes, I see we '''were''' meant to include our Reference list in the word count - my mistake
&lt;!-- Overall – Copyedits --&gt;
# For additional feedback, see the following comments and [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2023%2FFlourishing_in_the_elderly&amp;diff=2582282&amp;oldid=2582045 these copyedits]
|2=
&lt;!-- Overview comments... --&gt;
# Well developed
&lt;!-- Overview – Case study --&gt;
# Engages reader interest via a case study or scenario in a feature box with a relevant image
&lt;!-- Overview – Explains problem --&gt;
# Clearly explains the problem or phenomenon
&lt;!-- Overview – Focus questions --&gt;
# Clear focus questions
# The focus questions could be improved by being more specific to the topic (i.e., the sub-title)
JW edit - I would be grateful of any explicit suggestions - thanks :)
# Use [[w:Open-ended question|open-ended]] rather than [[Closed-ended question|closed-ended]] focus questions
JW edit - curious about this feedback - as I understand it - each of my four questions '''are''' open-ended - no simple yes/no or static response would answer the questions I posed :/
# Provide focus questions in a feature box to help guide the reader and structure the chapter
JW edit - again, curious about this feedback - my focus questions are in a feature box :/
|3=
&lt;!-- Theory comments... --&gt;
&lt;!-- Theory – Breadth --&gt;
# An excellent range of relevant theories are selected, described, and explained
&lt;!-- Theory – Builds on --&gt;
# Builds effectively on related chapters and Wikipedia articles
&lt;!-- Theory – Depth --&gt;
# Very good depth is provided about relevant theory(ies)
&lt;!-- Theory – Tables/Lists/Figures --&gt;
# Effective use of tables, figures, and/or lists are to help clearly convey key theoretical information
&lt;!-- Theory – Citations --&gt;
# Key citations are well used
&lt;!-- Theory – Examples --&gt;
# Excellent use of examples to illustrate theoretical concepts
|4=
&lt;!-- Research comments... --&gt;
&lt;!-- Research – Key findings --&gt;
# Very good to excellent review of relevant research
# More detail about key studies would be ideal
# Any systematic reviews or meta-analyses in this area?
&lt;!-- Research – Critical thinking --&gt;
# Basic critical thinking about relevant research is evident
# Critical thinking about research could be further evidenced by:
## describing the methodology (e.g., sample, measures) in important studies
## discussing the direction of relationships
## considering the strength of relationships
## acknowledging limitations
## pointing out critiques/counterarguments
## suggesting ''specific'' directions for future research
|5=
&lt;!-- Integration comments... --&gt;
# Excellent integration between theory and research
|6=
&lt;!-- Conclusion comments... --&gt;
# Good summary and conclusion
# Only the first quarter is considered for marking purposes due to being over the maximum word count
# Remind the reader about the importance of the problem or phenomenon of interest
# Key points are well summarised
# Add practical, take-home message(s)
|7=
&lt;!-- Written expression – Style comments... --&gt;
&lt;!-- Written expression – Written expression --&gt;
# Written expression
## Overall, the quality of written expression is excellent
## The main area for improvement is making the writing 20% shorter
&lt;!-- Written expression – Layout --&gt;
# Layout
## The chapter is well structured, with major sections using sub-sections
## Include an introductory paragraph before branching into the sub-sections (see {{expand}} tags)
&lt;!-- Written expression – Grammar --&gt;
# Grammar, spelling, and proofreading are excellent
&lt;!-- Written expression – APA style --&gt;
# APA style
## Use double (not single) quotation marks &quot;to introduce a word or phrase used as an ironic comment, as slang, or as an invented or coined expression&quot; (APA 7th ed., 2020, p. 159)
&lt;!-- Written expression – Figures --&gt;
## Figures
### Figures are very well captioned
### Each Figure is referred to at least once within the main text
&lt;!-- Written expression – Tables --&gt;
## Tables
### Table captions use APA style or wiki style
### Each Table is referred to at least once within the main text
&lt;!-- Written expression – Citations --&gt;
## Citations use excellent APA style (7th ed.). For example:
### List multiple citations in alphabetical order by first author surname
&lt;!-- Written expression – References --&gt;
## References use excellent APA style:
|8=
&lt;!-- Learning features comments... --&gt;
# Excellent use of learning features
&lt;!-- Learning features - Links --&gt;
# Excellent use of embedded in-text [[m:Help:Interwiki linking|interwiki links]] to Wikipedia articles
# Good use of embedded in-text links to related [[Motivation and emotion/Book|book chapters]]. Embedding in-text links to related book chapters helps to integrate this chapter into the broader book project.
&lt;!-- Learning features – Images etc. --&gt;
# Excellent use of image(s)
# Excellent use of table(s)
# Excellent use of feature box(es)
# Excellent use of case studies or examples
&lt;!-- Learning features – Quizzes --&gt;
# Excellent use of quiz(zes) and/or reflection question(s)
&lt;!-- Learning features – See also, external links --&gt;
# Excellent use of interwiki links in the &quot;See also&quot; section
## Use alphabetical order
# Excellent use of external links in the &quot;External links&quot; section
|9=
&lt;!-- Social contribution comments... --&gt;
# ~30 logged, useful, minor to major social contributions with direct links to evidence
# Thanks very much for your extensive contributions
}}
-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 02:43, 21 November 2023 (UTC)
{{MEMF/2023
|1=
&lt;!-- Overall comments ... --&gt;
&lt;!-- Overall - Overall --&gt;
# Overall, this is an excellent presentation
|2=
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JW edit - curious about feedback points 3 &amp; 4 - my presentation registers as 2 minutes 59 seconds on YouTube :/
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-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 02:31, 22 November 2023 (UTC)

== AI slop ==

{{ping| Jtneill }} There are an enormous amount of high quality photographic and artistic images in [[Commons:Category:Old people]]. I think you will be able to find adequate replacements for all AI images in this resource. [[User:Dronebogus|Dronebogus]] ([[User talk:Dronebogus|discuss]] • [[Special:Contributions/Dronebogus|contribs]]) 01:16, 10 April 2026 (UTC)

:Feel free to improve pages on Wikiversity with better illustrations. 
:FYI, [[Motivation and emotion/Book]] pages are developed by students who are editing for the first time. You are welcome to join and assist. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 01:22, 10 April 2026 (UTC)</text>
      <sha1>4crjtgch0o8ici18ycf2cvk9o7l9a0u</sha1>
    </revision>
  </page>
  <page>
    <title>User:Dc.samizdat/A symmetrical arrangement of eleven 11-cells</title>
    <ns>2</ns>
    <id>304065</id>
    <revision>
      <id>2803987</id>
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        <username>Dc.samizdat</username>
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      <comment>/* Concentric 120-cells */</comment>
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      <text bytes="144092" sha1="cde7ml55sueii6q63aw8hvbys20d6q6" xml:space="preserve">{{align|center|David Brooks Christie}}
{{align|center|dc@samizdat.org}}
{{align|center|Draft in progress}}
{{align|center|March 2024 - January 2026}}

&lt;blockquote&gt;[[W:Branko Grünbaum|Grünbaum]] and [[W:H.S.M. Coxeter|Coxeter]] independently discovered the [[W:11-cell|11-cell]] &lt;sub&gt;5&lt;/sub&gt;{3,5,3}&lt;sub&gt;5&lt;/sub&gt;, a regular 4-polytope with cells that are the [[W:hemi-icosahedron|hemi-icosahedron]] {3,5}&lt;sub&gt;5&lt;/sub&gt;, a hexad non-orientable polyhedron. The 11-cell is described as an abstract 4-polytope, because its cells do not have a direct realization in Euclidean 3-space. However, we find that the 11-cell has a realization in Euclidean 4-space inscribed in the [[120-cell|120-cell]], the largest regular convex 4-polytope, which contains inscribed instances of all the convex regular 4-polytopes. The 11-cell contains 11 hemi-icosahedra and 11 regular 5-cells. The 120-cell contains 120 dodecahedra and 120 regular 5-cells. We find that the 120-cell also contains: a non-uniform icosahedral polyhedron that contains the realization of the abstract hemi-icosahedron; real 11-point 11-cells made from 11 of it; and a compound of eleven real 11-cells. We also find a quasi-regular compound of the compound of eleven 11-cells and [[w:Schoute|Schoute]]'s compound of five 24-cells (the 600-cell). We describe the real 11-point 11-cell 4-polytope; its compound of eleven 11-cells; the quasi-regular compound; and their relation to the regular polytopes.&lt;/blockquote&gt;

== Introduction ==
[[W:Branko Grünbaum|Branko Grünbaum]] discovered the 11-cell around 1970,{{Sfn|Grünbaum|1976|loc=''Regularity of Graphs, Complexes and Designs''}} about a decade before [[W:H.S.M. Coxeter|H.S.M. Coxeter]] extracted hemi-icosahedral hexads from the permutations of eleven numbers, with observations on the perfection of Todd's cyclic pentads and other symmetries he had been studying.{{Sfn|Coxeter|1984|loc=''A Symmetrical Arrangement of Eleven Hemi-Icosahedra''}} Grünbaum started with the hexad, and the impetus for his discovery of the 11-cell was simply the impulse to build with them. Like a child building with blocks, he fit them together, three around each edge, until the arrangement closed up into a 3-sphere and surprise, ''eleven'' of them.

[[File:120-cell.gif|thumb|360px|The picture on the cover of the box of 4-dimensional building blocks.{{Sfn|Hise|2011|loc=File:120-cell.gif|ps=; &quot;Created by Jason Hise with Maya and Macromedia Fireworks. A 3D projection of a 120-cell performing a [[W:SO(4)#Geometry of 4D rotations|simple rotation]].&quot;}} Only the 120-cell's own edges are shown. The complex interior parts of the 120-cell, all its inscribed 600-cells, 24-cells, 8-cells, 16-cells, 5-cells and 11-cells, are completely invisible in this view, as none of their edges are rendered at all. The child must imagine them.]]
The 4-dimensional regular polytopes are the most wonderful set of child's building blocks. The simplest two 4-polytopes are the 5-point 4-[[W:Simplex|simplex]] (called the [[5-cell]], because it is built from 5 tetrahedra), and the 8-point 4-[[W:Orthoplex|orthoplex]] (called the [[16-cell]], because it is built from 16 tetrahedra). As building blocks they could not be more different. The 16-cell is the basic building block of everything 4-dimensional. Every other regular convex 4-polytope (''except'' the 5-cell) can be built as a compound of 16-cells, including first of all the [[w:Tesseract|16-point (8-cell) tesseract]], the 4-hypercube, which is a compound of two 16-cells in [[W:Demihypercube|exact dimensional analogy]] to the way a cube is a compound of two tetrahedra. The regular 5-cell, on the other hand, is not found within any of the other regular convex 4-polytopes, except in the largest and most complex one, the 600-point [[120-cell|120-cell]], the biggest thing you can build from this set of building blocks (the picture on the cover of the box, which is built from everything in the box). The 5-cell has a fundamental relationship to all the other 4-polytopes, but not one as simple as compounding, so it is not immediately useful to children trying to learn to build with 4-dimensional building blocks. But the 16-cell is our very starting point, and the most frequently used tool in the box.

Nevertheless, to build the 11-cell, we start with the 5-cell. The 5-cell and 11-cell are both self-reciprocal (their own duals). They are the only 4-polytopes where every cell shares a face with every other cell. The 5-cell is a tetrahedron surrounded by 4 other tetrahedra, in five different ways. The 11-cell is a hemi-icosahedron surrounded by 10 other hemi-icosahedra, in eleven different ways. The 5-cell has 5 vertices that form 5 tetrahedral cells, and a total of 10 triangular faces and 10 edges. The 11-cell has 11 vertices that form 11 hemi-icosahedral cells, each with 6 verticies 10 triangular faces and 15 edges, and a total of 55 triangular faces and 55 edges.

== 5-cells and hemi-icosahedra in the 11-cell ==
[[File:Symmetrical_5-set_Venn_diagram.svg|thumb|The 5-point (10-face) regular 5-cell (the regular 4-simplex). Grünbaum's rotationally symmetrical 5-set Venn diagram{{Sfn|Grünbaum|1975|loc=''Rotationally symmetrical 5-set Venn diagram'', Fig 1 (e)|ps=; partitions the individual elements of the 5-cell.}} is an illustration of the 5-cell labeling each of its &lt;math&gt;2^5&lt;/math&gt; elements.{{Sfn|Cmglee: Grunbaum's 5-point Venn Diagram|2019|ps=; each individual element of the 5-cell is labelled; image includes the Python code to render it, optimising for maximum area of the smallest regions.}}]]
[[File:Hemi-icosahedron.png|thumb|The 6-point (10 face) [[W:hemi-icosahedron|hemi-icosahedron]], an abstraction of the regular icosahedron, has half as many faces, edges and vertices. Each element of the abstract polyhedron represents two or more real elements found in different places in a concrete realization of the 11-cell.{{Sfn|Ruen: Hemi-icosahedron|2007}}]]
The most apparent relationship between the pentad 5-cell and the hexad hemi-icosahedron is that they both have 10 triangular faces. When we find a facet congruence between a 4-polytope and a 3-polytope we suspect a dimensional analogy. In the exceptional case of 5-cell and icosahedron, which share the same symmetry group &lt;math&gt;A_5&lt;/math&gt;, we fully expect a dimensional analogy.{{Efn|There is an exceptional inter-dimensional duality between the regular icosahedron and the 5-cell because they share &lt;math&gt;A_5&lt;/math&gt; symmetry. See this question asked on [https://math.stackexchange.com/questions/4235783/the-rotational-symmetry-groups-of-the-5-cell-and-the-icosahedron-are-isomorphi math.stackexchange.com 2021].}} Another clue that the hemi-icosahedron has something to do with dimensional analogy comes from its realization as the 6-point 5-simplex. Yet another real hexad is the 6-point 3-orthoplex; thus the hemi-icosahedron is related by dimensional analogy to the 4-simplex (5-cell) from above, and to the 4-orthoplex (16-cell) from below, while those two simplest 4-polytope building blocks are only related to each other indirectly by dimensional analogies, having no chord congruences in 4-space. The cell of the 11-cell has only been at the party 5 minutes, and it is already inter-dimensionally ''involved'' with the two earliest arrivals, the 4-simplex (5-cell) and 4-orthoplex (16-cell), who are famously stand-offish with each other. Interesting!

The cell of the 11-cell is an abstract hexad hemi-icosahedron with 5 central planes, most handsomely illustrated by Séquin.{{Sfn|Séquin|2012|loc=A 10-Dimensional Jewel}}{{Sfn|Séquin &amp; Lanier|2007|p=3|loc=Figure 4: (b,c) two views of the hemi-icosahedron projected into 3D space|ps=; Séquin et. al. have a lovely colored illustration of the hemi-icosahedron, subdivided into 10 triangular faces by 5 central planes of its icosahedral symmetry, revealing rings of polytopes nestled in its interior. Their illustration cannot be directly included here, because it has not been uploaded to [[W:Wikimedia Commons|Wikimedia Commons]] under an open-source copyright license, but you can view it online by clicking through this citation to their paper, which is available on the web.}}{{Sfn|Séquin &amp; Hamlin|2007|loc=Figure 2. 57-Cell: (a) vertex figure|ps=; The 6-point [[W:Hemi-isosahedron|hemi-isosahedron]] is the vertex figure of the 11-cell's dual 4-polytope the 57-point [[W:57-cell|57-cell]].}} The 11 hemi-icosahedral cells have 10 triangle faces each, and each cell is face-bonded to the other 10 cells. The 5-cell's 5 tetrahedral cells have 10 faces and 10 edges altogether, and each cell is face-bonded to the other 4 cells. If 11-cell faces correspond to 5-cell faces, then 3 of each 5-cell's 5 vertices are a hemi-icosahedron face, and its other 2 vertices must be some 11-cell edge lying opposite the face. Coxeter determined that the 11-cell does indeed have an edge opposite each face, that does not belong to the same hemi-icosahedral cell as its opposing face. He found that the 10 edges opposite each hemi-icosahedron's 10 faces are the 10 edges of a single 5-cell, which does not share any vertices, edges or faces with the hemi-icosahedron. For each cell of the 11-point 11-cell, there is exactly one 5-point 5-cell that is completely disjoint from the 6-point hemi-icosahedron cell.{{Sfn|Coxeter|1984|p=110|loc=§6. The Petrie polygon [of the 11-cell]|ps=; &quot;We may reasonably call this edge and face ''opposites''. It is easy to find the face opposite to a given edge by looking at the faces to which a given edge belongs. ... Conversely, given a face, we can find the opposite edge by seeing which vertices belong to neither of the hemi-icosahedra which share that face. The ten edges opposite to the ten faces of one hemi-icosahedron are the edges of the complementary &lt;math&gt;a_4&lt;/math&gt; [4-simplex], that is, the joins of all pairs of the five vertices [of the 11-cell] not belonging to the given hemi-icosahedron.&quot;}}

There are 11 disjoint 5-cell 4-polytopes inscribed in each 11-cell, which also contains 11 hemi-icosahedral cells, 55 faces, 55 edges and 11 vertices. The real 11-cell is more complex than the abstract 11-cell representing it, because the real hemi-icosahedron is more complex and harder to find than the abstract hemi-icosahedron. Seeing the real 11-cell will be easier once we have identified the real hemi-icosahedron, and seen exactly where the 11-cell's real elements reside in the other 4-polytopes within the 120-cell with which the 11-cell intermingles.

The 5-cell has 10 faces, and the 11-cell has 10 faces in each of its hemi-icosahedral cells, but that is not how their faces correspond. Each hemi-icosahedron is face-bonded to the other 10 hemi-icosahedra, and to 10 of the 11 5-cells, and there is exactly one 5-cell with which it does not share a face.{{Efn|As Coxeter observes (in the previous citation), that unrepresented 5-point 5-cell is the other 5 vertices of the 11-point 11-cell that are not vertices of this 6-point hemi-icosahedron: the hemi-icosahedron's disjoint complement.}} Each 5-cell has 10 faces which belong to 10 distinct hemi-icosahedra of the 11-cell, and there is just one hemi-icosahedron with which it does not share a face.

In the abstract 11-cell each face represents two conflated icosahedron faces, two actual faces in different places, so the 11-cell's 55 faces represent 110 actual faces: the faces of 11 completely disjoint 5-cells. Each hemi-icosahedron vertex represents conflated icosahedral vertices: multiple actual vertices separated by a small distance which has been reduced to a point at the coarse scale of the abstraction.{{Efn|We shall see that this small eliminated distance is in fact the length of a 120-cell edge, the shortest chordal distance found in the 120-cell.}} Seemingly adjacent hemi-icosahedron faces do not actually meet at an edge; there is a polygon separating them, which has been abstracted to an edge. The 10 hemi-icosahedron faces are 5-cell faces from 10 distinct 5-cells, and they do not actually touch each other: the 120 5-cells in the 120-cell are completely disjoint.

In the 5-cell each face bonds two tetrahedral cells together, and in the 11-cell each face bonds two pairs of tetrahedral cells together, because each 11-cell face represents two actual 5-cell faces in different places. Each duplex 11-cell face bonds tetrahedra in two 5-cells in different places, without binding the 5-cells together (they are completely disjoint). One actual 5-cell face is one half of a duplex 11-cell face, so 110 5-cell faces are 55 duplex 11-cell faces. The 11-cell's 11 abstract vertices represent all 55 distinct vertices of the 11 disjoint 5-cells, so they must be abstract conflations of at least 5 vertices. Therefore for any of this to be possible, the 11-cell must not be alone; 11-cells must be sharing vertices, not disjoint as the 5-cells are.

== The real hemi-icosahedron ==

[[File:120-Cell showing the individual 8 concentric hulls and in combination.svg|thumb|400px|right|
Orthogonal projections of the 120-cell by Moxness{{Sfn|Moxness: 8 concentric hulls|2022|loc=Hull #8 (lower right)|ps=; &quot;Orthogonal projection of the 120-cell using any 3 of these Cartesian coordinate dimensions forms an outer hull of a Chamfered dodecahedron of Norm=√8. Hulls 1, 2, &amp; 7 are each overlapping pairs of Dodecahedrons. Hull 3 is a pair of Icosidodecahedrons. Hulls 4 &amp; 5 are each pairs of Truncated icosahedrons. Hulls 6 &amp; 8 are Rhombicosidodecahedrons.&quot;}} using 3 of its 4 Cartesian coordinate dimensions to render 8 polyhedral hulls which are 3D sections through distinct hyperplanes starting with a dodecahedron cell. Hull #8 with 60 vertices (lower right) is a central section of the 120-cell, the 8th and largest section starting with a cell.{{Efn|1=Although the 8 hulls are illustrated as the same size, in the 120-cell they have increasing size as numbered, and occur nested inside each other like Russian dolls. Only Hull #8 is a central section of the same radius as the 120-cell itself, analogous to the equator. Sections 1-7 occur in pairs on opposite sides of the central section, and are analogous to lines of latitude. Section 1 is simply a dodecahedral cell. The &quot;Combined hulls&quot; is for illustrative purposes only; no such compound polyhedron exists in the 120-cell.}}]]
We shall see in subsequent sections that the 11-cell is not in fact alone, but first let us see if we can find an existing illustration of the realization of the abstract hemi-icosahedron, as an actual polyhedron that occurs in the 120-cell. Moxness developed software which uses Hamilton's [[w:Quaternion|quaternion]]s to render the polyhedra which are found in the interior of ''n''-dimensional polytopes.{{Sfn|Moxness: Quaternion graphics software|2023|ps= ; describes the theory and implementation of quaternion-based polytope graphics software.}} [[w:William_Rowan_Hamilton|Hamilton]] was the first wise child to discover a 4-dimensional building block, [[w:History_of_quaternions#Hamilton's_discovery|in his flash of genius on Broom bridge]] in 1843, though he didn't think of his quaternion formula {{math|1=''i''&lt;sup&gt;2&lt;/sup&gt; = ''j''&lt;sup&gt;2&lt;/sup&gt; = ''k''&lt;sup&gt;2&lt;/sup&gt; = ''ijk'' = −1}} as the [[W:Tesseract|16-point (8-cell) tesseract]] 4-polytope. He did not realize then that he had discovered the 4-hypercube polytope and [[W:Tesseractic honeycomb|its Euclidean honeycomb]], the tetrad (w, x, y, z) Cartesian [[w:Euclidean_geometry#19th_century|coordinates of Euclidean 4-space]]. Moxness built his software out of Hamilton's quaternions, as quite a lot of graphics software is built, because [[w:Quaternions_and_spatial_rotation|quaternions make rotations]] and projections in 3D or 4D space as simple as matrix multiplications.{{Sfn|Mebius|1994|p=1|loc=&quot;''[[W:Quaternion algebra|Quaternion algebra]]'' is the tool ''par excellence'' for the treatment of three- and four- dimensional (3D and 4D) rotations. Obviously only 3D and by implication 2D rotations have an everyday practical meaning, but the [[W:Rotations in 4-dimensional Euclidean space|theory of 4D rotations]] turns out to offer the easiest road to the representation of 3D rotations by quaternions.&quot;}} The quaternions are 4-hypercube building blocks, analogous to the 3-hypercube wooden blocks everyone built with as a child (only they fit together even better, because they are [[w:8-cell#Radial_equilateral_symmetry|radially equilateral]] like the cuboctahedron and the [[24-cell]], but we digress). Moxness used his software to render illustrations of the polyhedra inside the 120-cell, which he published. Notice his &quot;Hull # = 8 with 60 vertices&quot;, lower right. It is a real icosahedron that the abstract hemi-icosahedron represents, as it occurs in the 120-cell. Moxness's 60-point Hull #8 is a concrete realization of the 6-point hemi-icosahedron in spherical 3-space &lt;math&gt;S^3&lt;/math&gt;, embedded in Euclidean 4-space &lt;math&gt;\mathbb{R}^4&lt;/math&gt;. Its 12 little pentagon faces are 120-cell faces. It also has 20 triangle faces like any icosahedron, separated from each other by rectangles, but beware: those triangles are not the 5-cell faces. They are smaller equilateral triangles, of edge length &lt;math&gt;1&lt;/math&gt; in a {{radic|2}}-radius 120-cell, where the 5-cell face triangles have edge length {{radic|5}}.{{Efn|The 41.4° chord of edge length 1 in a {{radic|2}}-radius 120-cell occurs only in the 120-cell; it is not the edge of any smaller regular 4-polytope inscribed in the 120-cell. The equilateral triangle faces of Moxness's Hull #8 rhombicosidodecahedron are not the 5-cell faces of edge length &lt;small&gt;&lt;math&gt;\sqrt{5} \approx 2.236&lt;/math&gt; &lt;/small&gt;(104.5°), not the 16-cell faces of edge length &lt;small&gt;&lt;math&gt;2&lt;/math&gt;&lt;/small&gt; (90°), not the 24-cell faces of edge length &lt;small&gt;&lt;math&gt;\sqrt{2} \approx 1.414&lt;/math&gt;&lt;/small&gt; (60°), and not the 600-cell faces of edge length &lt;small&gt;&lt;math&gt;\sqrt{2}/\phi \approx 0.874&lt;/math&gt;&lt;/small&gt; (36°).|name=Moxness 60-point triangle faces}}

[[File:Irregular great hexagons of the 120-cell radius √2.png|thumb|Every 6 edges of the 120-cell that lie on a great circle join with 5-cell edges to form two opposing irregular great hexagons (truncated triangles). The 120-cell contains 1200 of its own edges and 1200 5-cell edges, in 200 irregular {12} dodecagon central planes. The 5-cell ''faces'' do not lie in central planes.]]
Edges of the larger 5-cell face triangles of length {{radic|5}} can also be found in Hull #8, but they are invisible chords below the surface of Moxness's 60-point polyhedron. To see them, notice that six 120-cell edges (little pentagon edges) lie on a great circle, alternating with six rectangle diagonals. Also lying on this irregular {12} great circle are six 5-cell edges, invisible chords joining every other 120-cell edge and  running under the 120-cell edge between them. The six long chords and six short edges form two opposing irregular {6} great hexagons (truncated triangles) of alternating 5-cell edges and 120-cell edges, as illustrated. The irregular great {12} lies on a great circle of Moxness's Hull #8, and also on a great circle of the 120-cell, because Hull #8 is the ''central'' cell-first section of the 120-cell.{{Efn|The cell-first central section of the 600-cell (and of the 24-cell) is a cuboctahedron with 24-cell edges. The 120-cell is the regular compound of 5 600-cells (and of 25 24-cells), so Moxness's Hull #8, as the cell-first central section of the 120-cell, is the regular compound of 5 cuboctahedra. Their 24-cell edges, like the 5-cell edges, are invisible chords of Hull #8 that lie below its surface, on the same irregular {12} great circles. Each 24-cell edge chord spans one 120-cell edge chord (one little pentagon edge) and one rectangle face diagonal chord. Six 24-cell edge chords form a regular great {6} hexagon, inscribed in the irregular great {12} dodecagon.|name=compound of 5 cuboctahedra}} There are 10 great dodecagon central planes and 60 5-cell edges in Moxness's Hull #8, and 200 great dodecagon central planes and 1200 5-cell edges in the 120-cell. 

[[File:Central cell-first section of the 120-cell with 5-cell face triangle.png|thumb|Orthogonal projection of the cell-first central section of the 120-cell, Hull #8 rendered by Moxness, with one of 20 inscribed 5-cell faces (black chords) drawn under portions of three of its ten great circle {12} dodecagons (green).{{Efn|The point of view in this rendering is not quite right to best illustrate that a rhombicosidodecahedron triangle face lies over the center of a 5-cell face parallel to it, such that it would be perfectly inscribed in the center of the larger black triangle in an orthogonal view.}}]]
But the 5-cell ''faces'' do not lie in those central planes. We can locate them in the 60-point polyhedron where they lie parallel to and under each small face triangle of edge length &lt;math&gt;1&lt;/math&gt;. Truncating at a triangle face of Moxness's Hull #8 exposes a deeper 5-cell triangle face.{{Efn|Each face triangle of edge length &lt;math&gt;1&lt;/math&gt; is surrounded by 3 rectangles, and beyond each rectangle by another face triangle. The distant vertices of those 3 surrounding triangles form a {{radic|5}} triangle, a 5-cell face.}} There are 20 such 5-cell faces inscribed in the Hull #8 polyhedron, all completely disjoint. We find 60 vertices, 60 edges and 20 faces of various 5-cells in each Hull #8 polyhedron, but no whole tetrahedral cells of the 5-cells.{{Efn|The fourth vertex of each 5-cell tetrahedron lies opposite the small face triangle of edge length &lt;math&gt;1&lt;/math&gt; that lies over the 5-cell face. Since Moxness's Hull #8 polyhedron has opposing triangle faces (like any icosahedron), the fourth vertex of the 5-cell tetrahedron lies over the center of the opposing face, outside the Hull #8 polyhedron. This is a vertex of some other Hull #8 polyhedron in the 120-cell. Each tetrahedral cell of a 5-cell spans four Hull #8 polyhedra, with one face inscribed in each, and one vertex outside of each.}}

[[File:Nonuniform_rhombicosidodecahedron_as_rectified_rhombic_triacontahedron_max.png|thumb|Moxness's 60-point Hull #8 is a nonuniform [[W:Rhombicosidodecahedron|rhombicosidodecahedron]] similar to the one from the catalog shown here,{{Sfn|Piesk: Rhombicosidodecahedron|2018}} but a slightly shallower truncation of the icosahedron with smaller red pentagons and narrower rhombs. Rhombicosidodecahedra are also made by truncating the [[W:Rhombic triacontahedron|rhombic triacontahedron]], which is the unique 30-sided polyhedron with only one kind of face, the dual of the 30-point icosidodecahedron. The 120-cell contains 60 of Moxness's Hull #8 rhombicosidodecahedron. Each occupies a central hyperplane, and so is analogous to an equator dividing the sphere in half.]]
Moxness's Hull #8 is a nonuniform form of an Archimedean solid, the 60-point [[W:Rhombicosidodecahedron|rhombicosidodecahedron]] from [[W:Johannes Kepler|Kepler's]] 1619 [[W:Harmonices Mundi|''Harmonices Mundi'']], which has the same 120 edges, 20 triangular faces and 12 pentagon faces, but with 30 squares between them instead of 30 rectangles. Without the squares ''or'' the rectangles it would be the 30-point [[W:icosidodecahedron|icosidodecahedron]], which has the same relationship to Moxness's Hull #8 that the 6-point hemi-icosahedron does: they are both abstractions of it by conflation of its 60 points, 2-into-1 (icosidodecahedron) and 10-into-1 (hemi-icosahedron), in what [[w:Alicia_Boole_Stott|Alicia Boole Stott]] named a ''contraction'' operation.{{Efn|The regular 5-point 5-cell can be another abstraction of Moxness's 60-point Hull #8, 12-vertices-into-1. None of these contractions of Moxness's Hull #8 is an instance of her operation actually described by Boole Stott, since she did not apply her expansion and contraction operations to uniform polytopes with more than one edge length, but she did explicitly describe contractions of the semi-regular Archimedean rhomibicosidodecahedron.}} Moxness was not the first person to find rhombicosidodecahedra in the 120-cell. Alicia Boole Stott identified the 6th section of the 120-cell beginning with a cell as the semi-regular rhombicosidodecahedron that is her ''e&lt;sub&gt;2&lt;/sub&gt; expansion'' of the icosahedron (or equivalently of its dual polyhedron the dodecahedron).{{Sfn|Boole Stott|1910|loc=§Examples of the e&lt;sub&gt;2&lt;/sub&gt; expansion|p=7}} But that 6th section rhombicosidodecahedron identified by Boole Stott is not Moxness's Hull #8, it is the semi-regular Archimedean solid (Moxness's Hull #6), with a single edge length and square faces. Moxness's Hull #8, with its two distinct edge lengths and rectangular faces, is Coxeter's 8&lt;sub&gt;3&lt;/sub&gt;, the 8th section of {5,3,3} beginning with a cell, which is missing from the sections illustrated by Boole Stott.{{Sfn|Coxeter|1973|p=258-259|loc=§13.9 Sections and Projections: Historical remarks|ps=; &quot;Alicia Boole Stott (1860-1940) ... also constructed the sections i&lt;sub&gt;3&lt;/sub&gt; of {5, 3, 3}, exhibiting the nets in her Plate V. “Diagrams VIII-XIV” refer to the sections 1&lt;sub&gt;3&lt;/sub&gt;-7&lt;sub&gt;3&lt;/sub&gt;; but 8&lt;sub&gt;3&lt;/sub&gt; is missing. Incidentally, Diagram XIII (our 6&lt;sub&gt;3&lt;/sub&gt;) is a rhombicosidodecahedron, the Archimedean solid.&quot;}} Coxeter found the central section 8&lt;sub&gt;3&lt;/sub&gt; first, and gave its coordinates, but he did not identify it as an irregular rhombicosidodecahedron. His table entry for its description is empty (characteristically since it is not a regular or semi-regular polyhedron), so he gives us no indication that he actually visualized it. Although Moxness was not the first to compute the 60-point 8&lt;sub&gt;3&lt;/sub&gt; section, he may have been the first person to ''see'' it.

The 30-point icosidodecahedron is the quasi-regular product of 5-point pentagon and 6-point hexagon, recalling Coxeter's original discovery of the 11-cell in pentads and hexads, and also the two child's building blocks: one so useless the 5-point (pentad) 5-cell, and the other so useful the 8-point 16-cell with its four orthogonal 6-point (hexad) octahedron central sections, which can be compounded into everything larger. Some children building with the 30-point icosidodecahedron notice that it occurs as the central section 4&lt;sub&gt;0&lt;/sub&gt; of the 120-point 600-cell. It is less often noticed that Moxness's Hull #8 rhombicosidodecahedron is the central section 8&lt;sub&gt;3&lt;/sub&gt; of the 600-point 120-cell. It occupies a flat 3-dimensional hyperplane that bisects the 120-cell, and since there are 120 dodecahedral cells, there are 60 such central hyperplanes, each perpendicular to an axis that connects the centers of two antipodal cells.

The 60 central hyperplanes, each containing an instance of Moxness's Hull #8, are rotated with respect to each other. They intersect, with 6 rhombicosidodecahedra sharing each vertex and 3 sharing each edge, but each little pentagon face (120-cell face) belongs to just one rhombicosidodecahedron. The 60 central sections lie in isoclinic hyperplanes, that is, the rhombicosidodecahedra are rotated symmetrically with respect to each other, by two equal angles.{{Sfn|Kim|Rote|2016|p=7|loc=§6 Angles between two Planes in 4-Space|ps=; &quot;In four (and higher) dimensions, we need two angles to fix the relative position between two planes. (More generally, ''k'' angles are defined between ''k''-dimensional subspaces.)&quot;}} Each pair of rhombicosidodecahedra intersect in a central plane containing an irregular {12} dodecagon, unless they are completely orthogonal and intersect only at the center of the 4-polytope.

Each of the 120 dodecahedral cells lies in the closed, curved 3-dimensional space of the 3-sphere as the 1st and smallest section beginning with a cell (section 1&lt;sub&gt;3&lt;/sub&gt;), the innermost of a series of concentric polyhedral hulls of increasing size, which nest like Russian dolls around it. Moxness's Hull #8 rhombicosidodecahedron is the 8th and largest concentric hull beginning with a cell (section 8&lt;sub&gt;3&lt;/sub&gt;), a central section of the 120-cell that bisects the 3-sphere the way an equator bisects an ordinary sphere.{{Efn|The 120-cell's curved 3-space surface is a honeycomb of 120 dodecahedron cells. In this 3-space a dodecahedron cell lies inside at the center of each section 8&lt;sub&gt;3&lt;/sub&gt; rhombicosidodecahedron, face-bonded to 12 other dodecahedron cells which surround it, also inside the rhombicosidodecahedron. We find the opposite pentagon faces of those 12 surrounding cells on the surface of the section 8&lt;sub&gt;3&lt;/sub&gt; rhombicosidodecahedron. These twelve dodecahedra surrounding one dodecahedron partially fill the volume of the rhombicosidodecahedron, leaving 30 concavities in its surface at the rectangle faces, and 12 deeper concavities between them at the triangle faces. 30 more dodecahedra fit into the rectangle concavities, lying half inside and half outside the rhombicosidodecahedron. The diagonal of each rectangle face is a long diameter of a dodecahedron cell. 12 more dodecahedra fit into the triangle face concavities, lying ....|name=dodecahedral cells in the section 8 rhombicosidodecahedron}} Such a central polyhedron is the dimensional analog of an equatorial great circle polygon. Its 60 vertices lie in the same 3-dimensional hyperplane, a flat 3-dimensional section sliced through the center of the 120-cell. There are 60 distinct stacks of 15 parallel section ''n''&lt;sub&gt;3&lt;/sub&gt; hyperplanes in the 120-cell, one stack spindled on each axis that connects a dodecahedron cell-center to its antipodal dodecahedron cell-center. Each central section 8&lt;sub&gt;3&lt;/sub&gt; has ''two'' disjoint sets of smaller sections nested within it, that lie in opposite directions from the 120-cell's center along its 4th dimension axis. The largest-radius central slice lies in the center of the stack, and the smaller non-central section hyperplanes occur in parallel pairs on either side of the central slice. The 120-cell therefore contains 120 instances of each kind of non-central section 1&lt;sub&gt;3&lt;/sub&gt; through 7&lt;sub&gt;3&lt;/sub&gt;, and 60 instances of the central section 8&lt;sub&gt;3&lt;/sub&gt;.{{Efn|A central section is concave on its inside and also on its outside: it has two insides. It may be helpful to imagine the central 60-point section as two mirror-image 60-point polyhedra whose points are coincident, but which are convex in opposite directions: the inside of one is the outside of the other. Each has seven smaller polyhedra nested within itself, but their two volumes are disjoint.}}

[[File:Tensegrity Icosahedron.png|thumb|[[WikiJournal Preprints/Kinematics of the cuboctahedron#Elastic-edge transformation|Tensegrity icosahedron]] structure.{{Sfn|Burkhardt|1994}} First built by [[W:Kenneth Snelson|Kenneth Snelson]] in 1949. Geometrically a [[w:Jessen's_icosahedron|Jessen's icosahedron]] with 6 reflex ''long'' edge struts, and 24 ''short'' edge tension cables around 8 equilateral triangle faces. 3 pairs of parallel struts lie in 3 orthogonal central planes.]]
We have come far enough with our pentad building blocks, usually so useless to children less wise than Todd or Coxeter, to see that the 60 Moxness's Hull #8 rhombicosidodecahedra are real polyhedra which the abstract hemi-icosahedra represent in some manner, but we have not yet identified 11 real face-bonded cells, at 11 distinct locations in the 120-cell, as an 11-cell. The abstract hemi-icosahedron's 10 faces correspond to actual 5-cell faces inscribed in real rhombicosidodecahedra, and its 15 edges correspond to 5-cell edges (of length {{radic|5}} in a {{radic|2}}-radius 120-cell) that occur as chords lurking under the surface of the rhombicosidodecahedra.

[[File:Buckminster-Fuller-holding-a-geodesic-tensegrity-sphere.png|thumb|200px|Buckminster Fuller holding a 3-dimensional geodesic tensegrity 2-sphere, an infinitesimally mobile rigid polytope consisting of tension cable edges and disjoint compression strut chords.&lt;ref&gt;{{Cite journal|last=Álvarez Elipe|first=Dolores|title=Ensegrities and Tensioned Structures|journal=Journal of Architectural Environment &amp; Structural Engineering Research|date=July 2020|volume=3|issue=3|url=https://www.researchgate.net/publication/343652287_Ensegrities_and_Tensioned_Structures}}&lt;/ref&gt;]]
A rhombicosidodecahedron is constructed from a regular icosahedron by truncating its vertices, making them into pentagon faces. The regular icosahedron frames all the regular and semi-regular polyhedra by expansion and contraction operations, as Alicia Boole Stott discovered before 1910,{{Sfn|Polo-Blanco: ''Theory and history of geometric models of Alicia Boole Stott''|2007|loc=§5.3.2 1910 paper on semi-regular polytopes|pp=152-158|ps=; summarizes Boole Stott's method and results from {{Sfn|Boole Stott|1910|loc=''Geometrical deduction of semiregular from regular polytopes and space fillings''|pp=12-45|ps=; presents two cyclical sequences of regular and semi-regular 4-polytopes linked by expansion-contraction operations to their embedded 3-polytopes, comprising a large trans-dimensional polytope family that includes 6 regular 4-polytopes and their 3-polytope dimensional analogues, and 45 Archimedean 4-polytopes and their 13 Archimedean 3-polytope analogues.}}, including her tables of expansion-contraction dimensional analogies and a few of her illustrations.}} and those wise young friends Coxeter &amp; Petrie, building together with polyhedral blocks, rediscovered before 1938.{{Sfn|Coxeter, du Val, Flather &amp; Petrie|1938|p=4|ps=; &quot;Just as a tetrahedron can be inscribed in a cube, so a cube can be inscribed in a dodecahedron. By reciprocation, this leads to an octahedron circumscribed about an icosahedron. In fact, each of the twelve vertices of the icosahedron divides an edge of the octahedron according to the &quot;[[W:Golden section|golden section]]&quot;. Given the icosahedron, the circumscribed octahedron can be chosen in five ways, giving a [[W:Compound of five octahedra|compound of five octahedra]], which comes under our definition of [[W:Stellated icosahedron|stellated icosahedron]]. (The reciprocal compound, of five cubes whose vertices belong to a dodecahedron, is a stellated [[W:Triacontahedron|triacontahedron]].) Another stellated icosahedron can at once be deduced, by stellating each octahedron into a [[W:Stella octangula|stella octangula]], thus forming a [[W:Compound of ten tetrahedra|compound of ten tetrahedra]]. Further, we can choose one tetrahedron from each stella octangula, so as to derive a [[W:Compound of five tetrahedra|compound of five tetrahedra]], which still has all the rotation symmetry of the icosahedron (i.e. the icosahedral group), although it has lost the reflections. By reflecting this figure in any plane of symmetry of the icosahedron, we obtain the complementary set of five tetrahedra. These two sets of five tetrahedra are enantiomorphous, i.e. not directly congruent, but related like a pair of shoes. [Such] a figure which possesses no plane of symmetry (so that it is enantiomorphous to its mirror-image) is said to be ''[[W:Chiral|chiral]]''.&quot;}} Before we can move on to locating the 11 discrete hemi-icosahedral cells of the 11-cell in the 120-cell, it is important that we take notice of one more icosahedral symmetry of the hidden {{radic|5}} chords lurking below the surface of Moxness's Hull #8 rhombicosidodecahedron. The 12 little pentagon faces (120-cell faces) are connected to each other in parallel pairs, by 10 sets of six disjoint {{radic|5}} chords (5-cell edges). Each six-chord set is the six reflex edges of a 12-point non-convex polyhedron called the [[w:Jessen's_icosahedron|Jessen's icosahedron]], which is to say that the six disjoint chords are the parallel-orthogonal strut chords of a [[WikiJournal Preprints/Kinematics of the cuboctahedron#Elastic-edge transformation|tensegrity icosahedron]]. The six chords of each set are disjoint (they don't touch or form 5-cell faces), and they are symmetrically arranged as 3 parallel pairs, {{radic|3}} apart, which lie in 3 orthogonal {12} central planes.{{Efn|The Jessen's icosahedron has 8 equilateral triangle faces, which are not rhombicosidodecahedron triangle faces or 5-cell triangle faces, they are 24-cell triangle faces. Each 120-cell pentagon face lies at one end of 20 5-cell edges, from 20 distinct Jessen's icosahedra and five disjoint 5-cells: four at each pentagon vertex from each 5-cell.}} Five disjoint instances of the Jessen's icosahedron may be inscribed in each Moxness's Hull #8 rhombicosidodecahedron, their struts propping the rhombicosidodecahedron and the 120-cell itself open like a tensegrity structure.{{Efn|Moxness's Hull #8 rhombicosidodecahedron is a compound of five disjoint Jessen's icosahedra, because the 60 {{radic|5}} chords meet two-at-a-vertex and form 10 distinct Jessen's icosahedra: five disjoint Jessen's, in two different ways. The dimensionally analogous construction is the [[120-cell#Compound of five 600-cells|120-cell as a compound of five disjoint 600-cells]], in two different ways. Consequently the 120-cell can be constructed as an infinitesimally mobile rigid geodesic 3-sphere: a 4-dimensional tensegrity sphere. The 120-cell's 1200 edges need only be tension cables, provided that a disjoint 600 of the 120 5-cells' 1200 edges are included as compression struts, in parallel pairs.|name=tensegrity 120-cell}} But here we find ourselves far out in the 3-sphere system, almost to the [[W:Borromean_rings|Borromean rings]] of the giant 600-cell. We shall have to go back and orient ourselves at the origin again, and work our way patiently outwards, before in ''[[#The perfection of Fuller's cyclic design|§The perfection of Fuller's cyclic design]]'' we approach that rare child Bucky Fuller's orthogonal 12-point tensegrity icosahedron, an [[WikiJournal Preprints/Kinematics of the cuboctahedron|in-folded cuboctahedron]], the unique pyritohedral fish swimming deep in the 3-sphere ocean.

== Eleven ==

Each pair of rhombicosidodecahedra that are not completely orthogonal intersect in a central plane containing an irregular {12} dodecagon. Ten irregular great dodecagons occur in each 60-point (central section 8&lt;sub&gt;3&lt;/sub&gt;) rhombicosidodecahedron, with 2 dodecagons crossing orthogonally at each vertex. Each rhombicosidodecahedron shares a {12} central plane with ten other rhombicosidodecahedra. 

''Groups of 11 rhombicosidodecahedra share central planes pairwise.'' Here, at last, we find eleven of something, a group which must comprise an 11-cell. There are eleven {12} central planes in the group, with one of the eleven absent from each rhombicosidodecahedron.

{|class=&quot;wikitable floatright&quot; width=450
!colspan=2|Perspective views{{Efn|1=These images are ''non-orthogonal'' orthographic projections of the chords described in the caption. Those chords do not lie in a plane parallel to the projection plane, so they appear foreshortened.{{Efn|name=orthogonal triacontagram projections}} Consecutive chords of the helical Petrie polygon slant toward and away from the viewer. Any three consecutive chords, but no four, are edges of the same cell, in the 4-polytope whose edges are the chord.{{Efn|name=Petrie polygon of a honeycomb}}}} of a compound of six disjoint 5-cells in dual position
|-
![[W:Triacontagon#Triacontagram|{30/12}{{=}}6{5/2} compound]]
![[W:Triacontagon#Triacontagram|{30/8}{{=}}2{15/4} compound]]{{Efn|name=orthogonal triacontagram projections|1=The {30/''n''} triacontagrams can each be seen as an ''orthogonal projection'' of the 120-cell showing all instances of the {30/''n''} chord. Each chord lies orthogonal to the line of sight, in a plane parallel to the projection plane. The diameter of the image is the diameter of the 120-cell. For example, the {30/8}=2{15/4} triacontagram is an orthogonal projection showing the 120-cell's 1200 {30/8} chords, the edges of 120 5-cells. Each edge of the triacontagram covers 40 5-cell edges, and each vertex covers 20 120-cell vertices. This projection can also be viewed as a compound of six 5-cells and their 30 unique vertices. But viewed that way, only 30 of the 60 5-cell edges are visible. Two edges meet at each vertex, but the other two are invisible. They are visible in the orthogonal view, the {30/4}=2{15} projection.}}
|- valign=top
|[[File:Regular_star_figure_6(5,2).svg|240px]]&lt;BR&gt;The 6{5/2} compound of six 5-cells. The six disjoint pentagrams in this view are six disjoint 5-cells.{{Efn|name=5-cell edges do not intersect is S&lt;sup&gt;3&lt;/sup&gt;}} The 120-cell, with 120 disjoint 5-cells, is a compound of 20 of these compounds. All edges are 5-cell edges, but only five of each 5-cell's ten edges are visible. The other five edges, connecting the points of the six 5-cell pentagrams, are visible in the 6{5} projection below, the orthogonal view:&lt;BR&gt;[[File:Regular_star_figure_6(5,1).svg|240px]]These two views look straight down the completely orthogonal axes of a [[w:Duocylinder|duocylinder]], from inside the curved 3-dimensional space of the 120-cell's surface. They are like looking down a column of 5-cells stacked on top of one another in curved 3-space, but the column is actually circular: it is bent into a torus in the fourth dimension.
|[[File:Regular_star_figure_2(15,4).svg|240px]]&lt;BR&gt;The 2{15/4} rotation circuits of the 5-cell isoclinic rotation. In this view, all edges are 75.5° chords of length {{radic|3}}, the 180° complement chord of the 5-cell edges of length {{radic|5}}.{{Efn|These are not 15-gons of 5-cell edges. There are no skew {15} polygons of 5-cell edges in the 120-cell. The 120 5-cells are completely disjoint, so the largest circuit along 5-cell edges is a skew {5}. Each vertex in the 120-cell is {{radic|5}} away from four and only four other vertices. No {{radic|5}} chords connect disjoint 5-cells; they are connected by several other chords. The skew {15} polygons are the discrete continuous spiral paths of moving vertices during an isoclinic rotation, and their edges are {{radic|3}} chords connecting 5-cells, not 5-cell edges.}} Each skew {15} polygon is the spiral chord-path of half the 30 vertices during the isoclinic rotation. The twined vertex orbits lie skew in 4-space; they form a circular double helix of two 15-gon spiral isoclines, winding through all four dimensions. These two completely orthogonal views look straight down an axis of a double helix cylinder, from inside the curved 3-dimensional space of the 120-cell's surface. Since the duocylinder is bent into a [[w:Clifford_torus|Clifford torus]] in the fourth dimension, the sightline axis in curved 3-space is a geodesic great circle in 4-space.&lt;BR&gt;[[File:Regular_star_figure_2(15,2).svg|240px]]
|-
![[W:Triacontagon#Triacontagram|{30/6}{{=}}6{5} compound]]
![[W:Triacontagon#Triacontagram|{30/4}{{=}}2{15/2} compound]]
|-
|colspan=2|Images by Tom Ruen in [[W:Triacontagon#Triacontagram|Triacontagram compounds and stars]].{{Sfn|Ruen: Triacontagon|2011|loc=§Triacontagram compounds and stars}}
|}
Each shared {12} central plane contains six disjoint 5-cell edges, from six completely disjoint 5-cells. Each rhombicosidodecahedron contains 60 5-cell edges, which form 20 disjoint 5-cell faces within the rhombicosidodecahedron, under and parallel to its own 20 smaller triangle faces. Four 5-cell edges meet at each vertex at the 5-cell's tetrahedral vertex figure. Two 5-cell edges of a face within the rhombicosidodecahedron meet two edges belonging to other faces of the 5-cell: edges and faces outside the rhombicosidodecahedron, in some neighboring rhombicosidodecahedron.{{Efn|name=orthogonal triacontagram projections}} Each 5-cell face is shared by two tetrahedral cells of one 5-cell. It has its three 104.5° {{radic|5}} edges in three distinct {12} central planes, and is parallel to a fourth {12} central plane. In each rhombicosidodecahedron there are ten sets of five parallel planes: a {12} central plane, a pair of 5-cell faces on either side of it (from disjoint 5-cells), and a pair of rhombicosidodecahedron triangle faces. Each rhombicosidodecahedron is sliced into five parallel planes, ten distinct ways.

There is no face sharing between 5-cells: the 120 5-cells in the 120-cell are completely disjoint. 5-cells never share any elements, but they are related to each other positionally, in groups of six, in the '''characteristic rotation of the regular 5-cell'''. That rigid isoclinic rotation takes the six 5-cells within each group to each other's positions, and back to their original positions, in a circuit of 15 rotational displacements.{{Sfn|Mamone, Pileio &amp; Levitt|2010|loc=§4.5 Regular Convex 4-Polytopes, Table 2, Symmetry operations|pp=1438-1439|ps=; in symmetry group 𝛢&lt;sub&gt;4&lt;/sub&gt; the operation [15]𝑹&lt;sub&gt;q3,q3&lt;/sub&gt; is the 15 distinct rotational displacements which comprise the class of pentadecagram isoclinic rotations of the 5-cell; in symmetry group 𝛨&lt;sub&gt;4&lt;/sub&gt; the operation [1200]𝑹&lt;sub&gt;q3,q13&lt;/sub&gt; is the 1200 distinct rotational displacements which comprise the class of pentadecagram isoclinic rotations of the 120-cell.}} Each displacement takes every 104.5° 5-cell edge of length {{radic|5}} to an edge 75.5° and {{radic|3}} away in another 5-cell in the group of six 5-cells. The 30 vertices of the six 5-cells rotate along 15-chord helical-circular isocline paths from 5-cell to 5-cell, before closing their circuits and returning the moving 5-cells to their original locations and orientations.{{Efn|In an [[24-cell#Isoclinic rotations|isoclinic rotation]], each point anywhere in the 4-polytope moves an equal distance in four orthogonal directions at once, on a [[W:8-cell#Radial equilateral symmetry|4-dimensional diagonal]]. The point is displaced a total [[W:Pythagorean distance|Pythagorean distance]] equal to the square root of four times the square of that distance. The orthogonal distance equals half the total Pythagorean distance. For example, when the {{radic|2}}-radius 5-cell rotates isoclinically 104.5° in the invariant central planes of its 104.5° edges of length {{radic|5}}, each vertex is displaced to another vertex  75.5° and {{radic|3}} away, moving {{radic|3/4}} in four orthogonal directions at once.|name=isoclinic 4-dimensional diagonal}}

The six rotationally related 5-cells form a stellated compound, a non-convex 4-polytope with 30 star points.{{Efn|name=compound of six 5-cells}} The star compound, and the rotation of the 5-cell within it, are illustrated by orthogonal projections from four different perspective viewpoints. To help us visualize the 4-polytopes within the 120-cell, we can examine 2-dimensional orthographic projections from various points of view. Such images filtered to include only chords of a single length are especially revealing, because they pick out the edges of a particular 4-polytope, or the isocline chords of its rotational orbits, the chords which link 4-polytopes together. No view of a single chord from a single point of view is sufficient by itself, but if we visualize various chords from various perspectives, we imagine the 4-dimensional rotational geometry of interrelated objects within the 120-cell. 

The star compound as a whole has ten {12} central planes, like a rhombicosidodecahedron. Each {12} central plane contains one edge from each of the six 5-cells. Each {12} central plane is shared by two rhombicosidodecahedra in the group of eleven, and by six 5-cells in the group of six.

== The eleventh chord ==
[[File:Major chord 11 of 135.5° in the 120-cell.png|thumb|The 120-cell contains 200 irregular {12} central planes containing 1200 135.5° {30/11} chords, six in each plane (shown in blue). They lie parallel to six 104.5° {30/8} chords (the 5-cell edges, shown in red), to which they are joined by 15.5° {30/1} 120-cell edges, and by 120° {30/10} great triangle edges (only one of the four great triangles is shown, in green).]]
In addition to six 104.5° {30/8} 5-cell edge chords of length {{radic|5}}, the {12} central plane contains six 135.5° {30/11} chords of length &lt;math&gt;\phi^2&lt;/math&gt;, parallel to the {{radic|5}} chords. The {30/11} chord spans an arc of five shorter chords: 

* 15.5° {30/1} + 44.5° {30/4} + 15.5° {30/1} + 44.5° {30/4} + 15.5° {30/1} = 135.5° {30/11)
* 15.5° {30/1} + 104.5° (30/8) + 15.5° {30/1} = 135.5° {30/11)
* 15.5° {30/1} + 120° (30/10) = 135.5° {30/11)

and its chord length is the linear sum of five shorter chords: 

* 1/𝜙^2 {30/1} + 1/𝜙^2 {30/1} + 1/𝜙 {30/2} + 1/𝜙 {30/2} + 1/𝜙 {30/2} = 𝜙^2 {30/11)

Two distinct chords are always related to each other in two different ways: by their degrees-of-arc-difference, and by their linear difference chord. The 135.5° {30/11) chord is ''two'' 15.5° (30/1) 120-cell edge-arcs longer than the 104.5° (30/8) 5-cell edge chord. But the &lt;math&gt;\phi^2&lt;/math&gt; {30/11} chord ''length'' is just ''one'' {30/1} 120-cell edge chord length longer than the {{radic|5}} {30/8} 5-cell edge chord.{{Efn|In a &lt;small&gt;&lt;math&gt;\sqrt{2}&lt;/math&gt;&lt;/small&gt;-radius 120-cell, the 15.5° {30/1} 120-cell edge chord has length &lt;small&gt;&lt;math&gt;\phi^{-2}&lt;/math&gt;&lt;/small&gt;. The 25.2° {30/2} pentagon face diagonal chord of length &lt;small&gt;&lt;math&gt;\phi^{-1}&lt;/math&gt;&lt;/small&gt; is &lt;small&gt;&lt;math&gt;\phi&lt;/math&gt;&lt;/small&gt; times the {30/1} edge length. The 41.1° 5-cell isocline chord of length &lt;small&gt;&lt;math&gt;\sqrt{1}&lt;/math&gt;&lt;/small&gt; is &lt;small&gt;&lt;math&gt;\phi^2&lt;/math&gt;&lt;/small&gt; times the {30/1} edge length. The 69.8° chord of length &lt;small&gt;&lt;math&gt;\phi&lt;/math&gt;&lt;/small&gt; is &lt;small&gt;&lt;math&gt;\phi^3&lt;/math&gt;&lt;/small&gt; times the {30/1} edge length. The 135.5° {30/11} 11-cell edge chord of length &lt;small&gt;&lt;math&gt;\phi^2&lt;/math&gt;&lt;/small&gt; is &lt;small&gt;&lt;math&gt;\phi^4&lt;/math&gt;&lt;/small&gt; times the {30/1} edge length.}}  

The {30/11} chord can be bisected into two shorter 120-cell chords in three different ways: 

* 15.5° {30/1} 120-cell edge + 104.5° {30/8} 5-cell edge = {30/11} chord
* 25.2° {30/2} 120-cell pentagon face diagonal + 90° {30/15} 16-cell edge = {30/11} chord
* 41.4° {30/1}+{30/2} chord + 69.8° {30/2}+{30/1}+{30/2} chord = {30/11} chord

[[File:Regular_star_polygon_30-11.svg|thumb|The [[W:Triacontagon#Triacontagram|{30/11} regular triacontagram]] of the 11-cell rotation.{{Sfn|Ruen: Triacontagon|2011|loc=§Triacontagram compounds and stars}} In this 2-dimensional projection of a 30-edge 4-dimensional helix ring, the 30 chords pictured lie in 30 distinct central planes, and no two planes are orthogonal.]]
The last of those bisections trisects the {30/11} chord into three distinct shorter chords: 

* 15.5° {30/1} + 25.2° {30/2} + 44.5° {30/4} chord = 135.5° {30/11} chord

The {30/11} chords do not form triangle faces within the rhombicosidodecahedron the way the {30/8} chords do, but they do meet at a tetrahedral vertex figure. 

Groups of 11 rhombicosidodecahedra (an 11-cell) share central planes pairwise, including all the chords in the {12} central plane. When 11 things, all pairwise-adjacent to each other, are arranged in any circuit of 30 positions, there exists another pairwise circuit of 30 positions through every eleventh position, whether the things are 11 vertices, 11 rhombicosidodecahedra, or 11 [[w:Aardvark|aardvarks]] (although it might be unwieldy in practice to so arrange 11 live aardvarks, e.g. by tying them together pairwise with cords in both circuits). This intrinsic property of the [[w:Rational_number|rational number]] 30/11 is responsible for the existence of the {30/11} regular triacontagram (see illustration). The 11 rhombicosidodecahedra of the 11-cell are linked by a regular {30/11} triacontagram of 30 chords which runs through them. Each successive chord of the 30 in the triacontagram is shared by a distinct pair of rhombicosidodecahedra in the 11-cell group. An isoclinic rotation characteristic of the 11-cell takes the rhombicosidodecahedra in each 11-cell to each other's positions, pair by pair, in a circuit of 30 rotational displacements. It takes every {12} central plane to a Clifford parallel {12} central plane that is 44.5° away in two completely orthogonal angles. One 135.5° {30/11} chord separates each of the 12 vertex pairs. 

In this '''characteristic rotation of the 11-cell''' in its edge planes, the invariant planes are {12} central planes, the edges of the 11-cell are {30/11} chords, and the isocline chords of the vertex orbits are also {30/11} 11-cell edges, because the triacontagram is regular.{{Efn|In the 120-cell there are three ''regular isoclinic rotations'' in which the rotation edge and the isocline chord are the same chord. These rotations are each described by a [[W:Triacontagon#Triacontagram|regular triacontagram]]: the {30/7} rotation characteristic of the 16-cell in great square invariant planes, the {30/11} rotation characteristic of the 11-cell, and the {30/13} rotation.}} The 44.5° {30/4} chord of length &lt;small&gt;&lt;math&gt;\sqrt{3}/\phi&lt;/math&gt;&lt;/small&gt;, the 180° complement of the {30/11} chord, is the orthogonal distance between nearest parallel {30/11} chords.{{Efn|In its characteristic isoclinic rotation, a 4-polytope rotates an equal arc distance in each invariant {12} edge plane in each rotational displacement. In the 11-cell, every invariant plane rotates 44.5° (like a wheel), and tilts sideways 44.5° (like a coin flipping) in the completely orthogonal invariant plane, to occupy another invariant plane in the group of eleven. Each pair of original and destination {12} central planes are Clifford parallel and intersect only at one point (the center of the 4-polytope), but six other {12} central planes intersect them both. Two parallel {30/11} chords in each of the six spanning {12} central planes separate two vertex pairs in the original and destination planes, and these are the isocline chords over which the two vertices move in the rotation. None of the six spanning {12} central planes are contained in either the original or destination rhombicosidodecahedron. A total of ten {12} central planes span each original and destination rhombicosidodecahedron; they comprise a third rhombicosidodecahedron which does not belong to the group of eleven. The edges of an 11-cell and the isocline chords of an 11-cell are disjoint sets of {30/11} chords.}} The 60 vertices of each rhombicosidodecahedron rotate in parallel, on non-intersecting 30-chord spiral orbital paths, from rhombicosidodecahedron to rhombicosidodecahedron, before closing their circuits and returning the moving rhombicosidodecahedron to its original location and orientation. In this isoclinic rotation of a rigid 120-cell, the 60 rhombicosidodecahedra do this concurrently. Each of the 600 vertices moves on a 4-dimensionally-curved helical isocline, over a skew regular polygram of 30 {30/11} chords, in which a {30/11} chord connects every eleventh vertex of a {30} triacontagram.

In the course of a complete revolution (the 30 rotational displacements of this isoclinic rotation), an 11-cell visits the positions of three 11-cells (including itself) 10 times each (in 10 different orientations), and returns to its original position and orientation.{{Sfn|Coxeter|1984|loc=§9. Eleven disjoint decagons}} At each step it occupies the same distinct group of 11 rhombicosidodecahedra sharing planes pairwise, and its 11 vertex positions are those of a distinct 11-cell in the group of eleven 11-cells. A group of 4-polytopes related by an isoclinic rotation is contained in a larger compound 4-polytope which subsumes them. This group of eleven 11-cells related by an isoclinic rotation is not a compound of eleven disjoint 11-cells (since they share vertices), but it is a compound of eleven non-disjoint 11-cells, in the same sense that a 24-cell is a compound of three non-disjoint 8-cell tesseracts.

Consider the incidence of these 30-chord {30/11} triacontagram rotation paths, and their intersections. Each rhombicosidodecahedron has 60 vertices and 60 {30/11} chords, which rotate concurrently on Clifford parallel triacontagrams. The 120-cell has only 600 vertices and 1200 {30/11} chords, so at most 20 triacontagrams can be disjoint; some must intersect. But the 11 vertices of an individual 11-cell must be linked by disjoint 30-position {30/11} triacontagram helices, such that their rotation paths never intersect.{{Efn|The isoclines on which a 4-polytope's vertices rotate in parallel never intersect. Isoclinic rotation is a concurrent motion of Clifford parallel (disjoint) elements over Clifford parallel (non-intersecting) circles.}} Each 11-cell has two disjoint triacontagram helicies, its left and right isoclinic rotations, in each of its four discrete fibrations. The 120-cell has 60 distinct {30/11} triacontagram helices, which are 11 disjoint {30/11} triacontagram helices in 11 distinct ways.

{{Sfn|Steinbach|2000|loc=''Sections Beyond Golden''; Figure 5. Optimal sections and proportions|p=37|ps=; the regular polygons {5}, {7}, {9} and {11} with their diagonals define respectively: {5} the golden bisection proportional to 𝜙; {7} an analogous trisection; {9} an analogous quadrasection; {11} an analogous pentasection.}}

== Compounds in the 120-cell ==

[[120-cell#Geometry|The 120-cell is the maximally complex regular 4-polytope]], containing inscribed instances of every kind of regular 1-, 2-, 3-, and 4-polytope, up to the heptagon {7}. The 120-cell is the convex hull of a regular [[120-cell#Relationships among interior polytopes|compound of each of the other 5 regular convex 4-polytopes]].

{{Regular convex 4-polytopes|columns=7|wiki=W:|radius={{radic|2}}|instance=1}}

=== How many building blocks, how many ways ===

The 120-cell is the convex hull of a compound of 75 disjoint 16-cells, of 25 disjoint 24-cells, of 5 disjoint 600-cells, and of 120 disjoint regular 5-cells. Children building the 120-cell up from their 16-cell building blocks will soon learn to protect their sanity by thinking of these nesting 4-polytopes by their alternate names, as ''n''-points symmetrically distributed on the 3-sphere, as synonyms for their conventional names, as ''n''-cells tiling the 3-sphere. They are the 8-point (16-cell), the 16-point (8-cell) tesseract, the 24-point (24-cell), the 120-point (600-cell), and the 600-point (120-cell).

The 8-point (16-cell), not the 5-point (5-cell), is the smallest building block, which compounds to everything else. The 8-point compounds by 2 into the 16-point, and by 3 into the 24-point; what could be simpler? The 16-point compounds into the 24-point by 3 ''non-disjoint instances'' of itself which share pairs of vertices. (We can think of non-disjoint instances as overlapping instances, except that disjoint instances overlap in space too, they just don't have overlapping vertex sets.) The 24-point compounds by 5 disjoint instances of itself in the 120-point, and the 120-point compounds by 5 disjoint instances of itself in the 600-point. So far, our children are happily building, and their castle makes sense to them. Then things get hairy.

The 24-point also compounds by &lt;math&gt;5^2&lt;/math&gt; non-disjoint instances in the 120-point; it compounds into 5 disjoint instances of itself, 10 (not 5) different ways. Whichever way the child builds it, the resulting 120-point, magically, contains 25 distinct 24-points, not just 5 (or 10). This means that 15 disjoint 8-point building blocks will construct a 120-point, which then magically contains 75 distinct 8-points. 

[[File:Ortho solid 016-uniform polychoron p33-t0.png|thumb|Orthogonal projection of the 600-point [[W:Great grand stellated 120-cell|great grand stellated 120-cell]] &lt;small&gt;&lt;math&gt;\{\tfrac{5}{2},3,3\}&lt;/math&gt;&lt;/small&gt;,{{Sfn|Ruen: Great grand stellated 120-cell|2007}} discovered by [[W:Ludwig Schläfli|Ludwig Schläfli]]. Named by [[W:John Horton Conway|John Horton Conway]], extending the naming system by [[W:Arthur Cayley|Arthur Cayley]] for the [[W:Kepler-Poinsot polyhedron#Characteristics|Kepler-Poinsot solids]], and the only one containing all three modifiers in the name.]]
The 600-point is 5 disjoint 120-points, just 2 different ways (not 5 or 10 ways). So it is 10 non-disjoint 120-points. This means the 8-point building block compounds by 3 times &lt;math&gt;5^2&lt;/math&gt; (75) disjoint instances of itself into the 600-point, which then magically contains &lt;math&gt;3^2&lt;/math&gt; times  &lt;math&gt;5^2&lt;/math&gt; (225) distinct instances of the 24-point, and  &lt;math&gt;3^3&lt;/math&gt; times &lt;math&gt;5^2&lt;/math&gt; (675) distinct instances of the original 8-point. 

They will be rare wise children who figure all this out for themselves, and even wiser who can see ''why'' it is so. [[W:Pieter Hendrik Schoute|Schoute]] was the first to see that the 120-point (600-cell) is a compound of 5 24-point (24-cells) ''10 different ways'', and after he saw it a hundred years lapsed until Denney, Hooker, Johnson, Robinson, Butler &amp; Claiborne proved his result, and showed why.{{Sfn|Denney, Hooker, Johnson, Robinson, Butler &amp; Claiborne|2020|loc=''The geometry of H4 polytopes''|ps=; This hexad of scholars from New Orleans, Louisiana extracted the truth from the permutations of the 120-point 600-cell as perspicaciously as Coxeter did from the permutations of the 11-point 11-cell.}}

So much for the compounds of 16-cells. The 120-cell is also the convex hull of the compound of 120 disjoint regular 5-cells. That stellated compound (without its convex hull of 120-cell edges) is the [[w:Great_grand_stellated_120-cell|great grand stellated 120-cell]], the final regular [[W:Stellation|stellation]] of the 120-cell, the only [[W:Schläfli-Hess polychoron|regular star 4-polytope]] to have the 120-cell for its convex hull. The edges of the great grand stellated 120-cell are &lt;math&gt;\phi^6&lt;/math&gt; as long as those of its 120-cell [[W:Stellation core|stellation core]] deep inside.

The compound of 120 regular 5-cells can be seen to be equivalent to the compound of 5 disjoint 600-cells, as follows. Beginning with a single 120-point (600-cell), expand each vertex into a regular 5-cell, by adding 4 new equidistant vertices, such that the 5 vertices form a regular 5-cell inscribed in the 3-sphere. The 120 5-cells are disjoint, and the 600 vertices form 5 disjoint 120-point (600-cells): a 120-cell.

=== Building the building blocks themselves ===

We have built every regular 4-polytope except the 5-cell out of 16-cells, but we haven't made the 16-cell (or the 5-cell) out of anything. So far, we have just accepted them both a priori, like [[W:Euclid's postulates|Euclid's postulates]], and proceeded to build with them. But it turns out that while they are the two atomic regular 4-polytopes, they are not indivisible, and can be built up as honeycombs of identical smaller ''irregular'' 4-polytopes. They are not a priori miracles; like everything else fundamental in nature, including Euclid's postulates, at root they are an expression of a distinct [[w:Symmetry_group|symmetry group]].

Every regular convex ''n''-polytope can be subdivided into instances of its characteristic [[W:Orthoscheme|Schläfli orthoscheme]] that meet at its center. An ''n''-orthoscheme (not an ''n''-[[w:Orthoplex|orthoplex]]!) is an ''irregular'' ''n''-[[w:Simplex_(geometry)|simplex]] with faces that are various right triangles instead of congruent equilateral triangles. A characteristic ''n''-orthoscheme possesses the complete symmetry of its ''n''-polytope without any redundancy, because it contains one of each of the polytope's characteristic root elements. It is the gene for the polytope, which can be replicated to construct the polytope.{{Efn|A [[W:Schläfli orthoscheme|Schläfli orthoscheme]] is a [[W:Chiral|chiral]] irregular [[W:Simplex|simplex]] with [[W:Right triangle|right triangle]] faces that is characteristic of some polytope because it will exactly fill that polytope with the reflections of itself in its own [[W:facet (geometry)|facet]]s (its ''mirror walls''). Every regular polytope can be partitioned radially by its planes of symmetry (Coxeter's &quot;reflecting circles&quot;) into instances of its [[W:Orthoscheme#Characteristic simplex of the general regular polytope|characteristic orthoscheme]] surrounding its center. The characteristic orthoscheme and its chiral mirror image can be replicated rotationally to generate its regular 4-polytope because it is the complete [[W:gene|gene]] for it, containing all of its elements and capturing all of its symmetry without any redundancy. It has the shape described by the same [[W:Coxeter-Dynkin diagram|Coxeter-Dynkin diagram]] as the regular polytope without the ''generating point'' ring that triggers the reflections.|name=Characteristic orthoscheme}}

The regular 4-simplex (5-cell) is subdivided into 120 instances of its [[5-cell#Orthoschemes|characteristic 4-orthoscheme]] (an irregular 5-cell) by all of its &lt;math&gt;A_4&lt;/math&gt; planes of symmetry at once intersecting at its center, so its symmetry is of order 120. The 120-cell is the convex hull of the regular compound of 120 disjoint regular 5-cells, so it can be subdivided into &lt;small&gt;&lt;math&gt;120\times 120 = 14400&lt;/math&gt;&lt;/small&gt; of these 4-orthoschemes, so that is the symmetry order of the 120-cell.

The regular 4-orthoplex (16-cell) is subdivided into 384 instances of its [[16-cell#Tetrahedral constructions|characteristic 4-orthoscheme]] (another irregular 5-cell) by all of its &lt;math&gt;B_4&lt;/math&gt; planes of symmetry at once intersecting at its center, so its symmetry is of order 384. The 120-cell is the convex hull of the regular compound of 75 disjoint 16-cells (which have 2-fold reflective symmetry), so its symmetry is of order &lt;small&gt;&lt;math&gt;75\times 384 / 2 = 14400&lt;/math&gt;&lt;/small&gt;.

The regular 24-point (24-cell) is subdivided into 1152 instances of its [[24-cell#Characteristic orthoscheme|characteristic 4-orthoscheme]] (yet another irregular 5-cell) by all of its &lt;math&gt;F_4&lt;/math&gt; planes of symmetry at once intersecting at its center, so its symmetry is of order 1152. The 120-cell is the convex hull of the regular compound of 25 disjoint 24-cells (which have 2-fold reflective symmetry), so its symmetry is of order &lt;small&gt;&lt;math&gt;25\times 1152 / 2 = 14400&lt;/math&gt;&lt;/small&gt;.

The regular 120-point (600-cell) is subdivided into 14400 instances of its [[600-cell#Characteristic orthoscheme|characteristic 4-orthoscheme]] (yet another irregular 5-cell) by all of its &lt;math&gt;H_4&lt;/math&gt; planes of symmetry at once intersecting at its center, so its symmetry is of order 14400. The regular 600-point (120-cell) is the convex hull of the regular compound of 5 disjoint 600-cells (which have 5-fold reflective symmetry), so its symmetry is of order &lt;small&gt;&lt;math&gt;5 \times 14400 / 5 = 14400&lt;/math&gt;&lt;/small&gt;.

=== Building with sticks ===

[[File:15 major chords.png|thumb|300px|The 15 major chords {30/1} ... {30/15} join vertex pairs which are 1 to 15 edges apart on a skew {30} [[w:Petrie_polygon|Petrie polygon]] of the 120-cell.{{Efn|Drawing the fan of major chords with #1 and #11 at a different origin than all the others was an artistic choice, since all the chords are incident at every vertex. We could just as well have fanned all the chords from the same origin vertex, but this arrangement notices the important parallel relationship between #8 and #11, and calls attention to the 11-cell's maverick edge chord.|name=fan of 15 major chords}} The 15 minor chords (not shown) fall between two major chords, and their length is the sum of two other major chords; e.g. the 41.4° minor chord of length {30/1}+{30/2} falls between the 36° {30/3} and 44.5° {30/4} chords.]]
We have seen how all the regular convex 4-polytopes except the 5-cell, including the largest one on the cover of the box, can be built from a box containing 675 16-cell building blocks, provided we can arrange the blocks on top of one another in 4-space, as interpenetrating objects. An alternate box, containing 120 regular 5-cell building blocks, builds the great grand stellated 120-cell (the picture on ''its'' cover), by the same method. In these boxes, the atomic building part is one of the two smallest regular 4-polytopes (5-cell or 16-cell), each generated by its characteristic isoclinic rotation as an expression of its symmetry group (&lt;math&gt;A_4&lt;/math&gt; or &lt;math&gt;B_4&lt;/math&gt;).

All the regular convex 4-polytopes, including the largest one on the cover of the box, can also be built from a box containing a certain number of building sticks and rubber joints, provided we can connect the sticks together in 4-space with the rubber joints. In this box, the atomic building parts are 1-dimensional edges and chords of just 15 distinct arc-lengths. The regular 4-polytopes do not contain a vast variety of stick lengths, but only 30 of them: only 15 unique pairs of 180° complementary chords. The 15 ''major chords'' {30/1} ... {30/15} suffice to construct all the regular 4-polytopes. The 15 ''minor chords'' occur only in the 120-cell, not in any smaller regular 4-polytope; they emerge as a consequence of building the largest 4-polytope on the cover of the box from major chords.

In polytope geometry, each chord of a polytope is both is a distinct 1-dimensional object, a chord of the unit-radius sphere of a distinct length &lt;math&gt;l&lt;/math&gt;, and a distinct rational number &lt;math&gt;h&lt;/math&gt;, a unique flavor. If the polytope is regular, it is a noteworthy distinctive flavor. The chord's length &lt;math&gt;l&lt;/math&gt; is a square root, related to the rational number &lt;math&gt;h = k/d&lt;/math&gt; and to the polygon &lt;small&gt;&lt;math&gt;\{k/d\}&lt;/math&gt;&lt;/small&gt; it represents, by a formula discovered by Steinbach.{{Sfn|Steinbach|1997|loc=''Golden Fields''; §1. The Diagonal Product Formula|pp=22-24|ps=; The product of two diagonals is a sum of a sequence of diagonals (in the fan, every other one) centered on the longer of the two, for all regular polygons. We may express products and quotients of diagonals &lt;math&gt;d_k&lt;/math&gt; of an &lt;math&gt;n&lt;/math&gt;-gon (with edge &lt;math&gt;d_0=1&lt;/math&gt;) as linear combinations of diagonals.}} The chord length &lt;math&gt;l&lt;/math&gt; is related to the number of sides of the regular polygon &lt;small&gt;&lt;math&gt;\{k\}&lt;/math&gt;&lt;/small&gt;, and to the winding number or density of the polygram (its denominator &lt;math&gt;d&lt;/math&gt;).{{Sfn|Kappraff &amp; Adamson|2004}} The largest &lt;math&gt;k&lt;/math&gt; of any major chord in the 120-cell is 30, and the polygrams &lt;small&gt;&lt;math&gt;\{30/d\}&lt;/math&gt;&lt;/small&gt; represent all the skew Petrie polygons and characteristic isoclinic rotations of the regular 4-polytopes.

== Concentric 120-cells ==

The 8-point 16-cell, not the 5-point 5-cell, is the smallest regular 4-polytope which compounds to every larger regular 4-polytope. The 5-point 5-cell is also an atomic building block, but one that compounds to nothing else regular except the leviathan 120-cell polytope: the picture on the cover of the box, that is built from everything in the box. In the [[User:Dc.samizdat/A symmetrical arrangement of eleven 11-cells#Build with the blocks|sequence of 4-polytope compounds]], we actually start with the 16-cell at the small end, and the 5-cell emerges only at the large end.

To build with the 16-cell blocks, we simply put them on top of each other as interpenetrating compounds. We can build every other regular 4-polytope from them by that method, except the individual regular 5-cell. We can also try to build with the 5-cell that way, as when we tried to build a 4-polytope of 11 hemi-icosahedral cells from 11 5-cells, but that was rather hard going. We somehow found 5-cell edges and faces lurking inside hemi-icosahedral rhombicosidodecahedra, and 11 rhombicosidodecahedra sharing central planes pairwise, and even the edges and characteristic rotation of the 11-cell, but we didn't quite get all the way to a discrete 11-cell 4-polytope made from 11 5-cells.

That's because ''compounding'' isn't the easiest method for building with the 5-cell. The 5-cell is the last building block hierarchically, not the first, and the most natural way to build with it is in reverse, by ''subdividing'' it, to find all the parts inscribed inside it. When we've taken the 5-cell apart, all the ways we possibly can, into certain ''irregular'' 4-polytopes found within it, we will have a new set of irregular 4-polytope building blocks, which compound to the 5-cells and everything else, including the 11-cells.

Subdividing a polytope is done by a geometric operation called ''[[w:Truncation_(geometry)|truncation]]''. There are myriad ways to truncate a 5-cell, each corresponding to a distinct ''depth'' of truncation at a particular point on an edge, or a line on a face, or a face on a cell, where a piece of the 5-cell is cut off. The simplest truncations, such as [[w:Rectification_(geometry)|cutting off each vertex at the midedge of each incident edge]], have been very well-studied; but how should we proceed? Let us see what happens when we [[w:Truncated_5-cell|truncate the 5-cells]] found in the 120-cell, by the simplest kinds of truncation. These three semi-regular 10-cells are closely related truncations of the regular 5-cell: 

* The 30-point 10-cell [[w:Bitruncated_5-cell|bitruncated 5-cell]] is the convex hull, and the convex common core, of a stellated compound of six 5-cells.
* The 20-point 10-cell [[w:Truncated_5-cell|truncated 5-cell]] is the convex hull, and the convex common core, of a stellated compound of four 5-cells.
* The 10-point 10-cell [[w:Rectified_5-cell|rectified 5-cell]] is the convex hull, and the convex common core, of a stellated compound of two 5-cells.
In the following sections, we explore the effect of performing these truncations on the 120-cell's 120 5-cells. We begin by identifying some promising truncation points on the 120-cell's 5-cell edge chords at which to cut.

If we cut off the 120-cell's 600 vertices at some point on its 1200 5-cell edges, we create new vertices on the edges of the 120 5-cells, which lie on a smaller 3-sphere than the 120-cell. How many vertices does the smaller 4-polytope thus created have? That is, how many distinct 5-cell edge truncation points occur in the 120-cell? As many as 1200, the number of 5-cell edges, or perhaps 2400, if each edge is truncated at both ends. But also perhaps fewer; for example, if the 120-cell contains pairs of 5-cells with intersecting edges, and the edges intersect at the point on each edge where we make our cut.

[[File:Great_(12)_chords_of_radius_√2.png|thumb|400px|Chords of the radius {{radic|2}} 120-cell in one of its 200 irregular {12} dodecagon central planes. The {{radic|2}} chords form two regular {6} hexagons (black).{{Efn|name=compound of 5 cuboctahedra}} The 120-cell edges form two irregular {6} hexagons (red truncated triangles) with the {{radic|5}} chords. The {6} intersection points (black) of the {{radic|5}} chords form a smaller red regular hexagon of radius {{radic|1}} (inscribed in the red circle).]]In the irregular {12} central plane chord diagram, we see six truncation points on the six 104.5° 5-cell edges of length {{Radic|5}}, where two co-planar 5-cell edges intersect, directly under the midpoint of a 44.5° chord (and under the intersection point of two 60° chords). The six truncation points lie on a red circle that is a circumference of the smaller 4-polytope created by this truncation. They form a red regular hexagon inscribed in the red circle. The edge length of this regular hexagon is {{radic|1}}.

The two intersection points on the {{Radic|5}} chord divide it into its golden sections. The center section of the chord is &lt;small&gt;&lt;math&gt;1&lt;/math&gt;&lt;/small&gt;. The center section plus either of the smaller sections is &lt;small&gt;&lt;math&gt;\phi = \tfrac{\sqrt{5} + 1}{2} \approx 1.618&lt;/math&gt;&lt;/small&gt;, the larger golden section. Each of the two smaller sections is &lt;small&gt;&lt;math&gt;\Phi = \phi - 1 = \tfrac{1}{\phi} \approx 0.618&lt;/math&gt;&lt;/small&gt;, the smaller golden section.{{Efn|The bitruncated {30/8} chord of the 120-cell provides a geometric derivation of the golden ratio formulas. Consider a 120-cell of radius &lt;small&gt;&lt;math&gt;2\sqrt{2}&lt;/math&gt;&lt;/small&gt; in which the {30/8} chord is &lt;small&gt;&lt;math&gt;2\sqrt{5}&lt;/math&gt;&lt;/small&gt; and the center section of the chord is &lt;small&gt;&lt;math&gt;2&lt;/math&gt;&lt;/small&gt;. Divide results by &lt;small&gt;&lt;math&gt;2&lt;/math&gt;&lt;/small&gt; to get a radius &lt;small&gt;&lt;math&gt;\sqrt{2}&lt;/math&gt;&lt;/small&gt; result. The left section of the chord is:
:&lt;small&gt;&lt;math&gt;\tfrac{\sqrt{5} - 1}{2} \approx 0.618&lt;/math&gt;&lt;/small&gt;
The center section plus the right section is:
:&lt;small&gt;&lt;math&gt;\tfrac{1 + \sqrt{5}}{2} \approx 1.618&lt;/math&gt;&lt;/small&gt;
The sum of these two golden sections is &lt;small&gt;&lt;math&gt;\sqrt{5} \approx 2.236&lt;/math&gt;&lt;/small&gt;, the chord length.}}

The smaller golden sections &lt;small&gt;&lt;math&gt;\Phi \approx 0.618&lt;/math&gt;&lt;/small&gt; of the 5-cell edge are the same length as the 120-cell's 25.2° pentagon face diagonal chords. No 25.2° chords appear in the {12} central plane diagram, because they do not lie in {12} central planes.

Each 104.5° 5-cell edge chord of length {{Radic|5}} has ''two'' points of intersection with other 5-cell edges, exactly 60° apart, the ''arc'' of a 24-cell edge chord, but with ''length'' {{radic|1}}. The center segment of the 5-cell edge, between the two intersection points, is a 24-cell edge in the smaller 4-polytope, and the red hexagon is a [[24-cell#Great hexagons|24-cell's great hexagon]] in the smaller 4-polytope. Nine other of its great hexagons, in other planes, each intersect with an antipodal pair of these {6} vertices. The dihedral angles between hexagon planes in a 24-cell are 60°, and four great hexagons intersect at each vertex. The 1200 5-cell edges, with two intersection points each, are reduced to 600 distinct vertices, so the smaller 4-polytope is a smaller 120-cell.

The larger 120-cell, of radius {{radic|2}}, is concentric to a smaller instance of itself, of radius {{radic|1}}. Each 120-cell contains 225 distinct (25 disjoint) inscribed 24-cells. The smaller 24-cells are the insphere duals of the larger 24-cells. The vertices of the smaller 120-cell are located at the octahedral cell centers of the 24-cells in the larger 120-cell. Four 5-cell edges meet in 600 tetrahedral vertex figures. Four orthogonally intersecting 5-cell edges of the larger 120-cell meet in cubic vertex figures of 24-cells in the smaller 120-cell. Two disjoint 5-cell tetrahedral vertex figures are inscribed in alternate positions in each 24-cell cubic vertex figure. The 24-cell edges of the smaller 120-cell are the 5-cell edges of the larger 120-cell, truncated at both ends. The distance between the two points of intersection on a {{radic|5}} chord is {{radic|1}}, the same length as the 41.4° chord. But the actual 41.4° chords of the 120-cell do not appear in this diagram at all, because they do not lie in the 200 irregular {12} dodecagon central planes. 

=== Bitruncating the 5-cells ===
The smaller concentric 120-cell can be built from 5-cell building blocks, by applying a specific kind of truncation operation to the blocks of the larger 120-cell called [[w:Bitruncation|''bitruncation'']]. This reveals a smaller irregular 4-polytope inside each 5-cell called the [[w:Bitruncated_5-cell|bitruncated 5-cell]]. The smaller unit-radius 120-cell is the convex hull of a compound of 20 disjoint (and 60 distinct) bitruncated 5-cells, bitruncated from the 120 disjoint 5-cells of the larger {{Radic|2}}-radius 120-cell. Bitruncation of the 120 disjoint 5-cells is the same truncation of the 120-cell described in the previous section, at the two golden section truncation points on each 104.5° 5-cell edge where two co-planar 5-cell edges intersect.

[[File:Truncatedtetrahedron.gif|thumb|A 12-point [[w:Truncated_tetrahedron|truncated tetrahedron]] cell of the 30-point 10-cell [[w:Bitruncated_5-cell|bitruncated 5-cell]].{{Sfn|Cyp: Truncated tetrahedron|2005}} Its edges are 41.4° chords of length 1 in a  {{radic|2}}-radius 120-cell (or length {{radic|1/2}} in a unit-radius 120-cell). The 120-cell contains 20 disjoint (60 distinct) bitruncated 5-cells, containing 600 distinct truncated tetrahedra.]]
The bitruncated 5-cell is a 30-vertex convex 4-polytope with 10 [[W:Truncated tetrahedron|truncated tetrahedron]] cells that have faces of two kinds: 4 triangle faces opposite 4 hexagon faces. The bitruncated 5-cell has 60 edges of the same length, 20 triangle faces, and 20 hexagon faces. Its 20 hexagon face planes are not [[24-cell#Great hexagons|24-cell central plane hexagons]]; they intersect each other at their edges, not at their long diameters. Its edges are not 60° 24-cell edge chords (the {{radic|2}} or 1 radius chords), but shorter 41.4° chords (of length 1 or {{radic|1/2}}), which do not appear at all in the diagram above, because they do not lie in the {12} central planes. The long diameter of the hexagon faces is not a 180° 120-cell long diameter chord (of length 2{{radic|2}} or 2) but a 90° 16-cell edge chord (of length 2 or {{radic|2}}). Consequently, three 16-cell tetrahedron cells (from three disjoint 16-cells) are inscribed in each truncated tetrahedron, at the three vertices of each face triangle.

The truncated tetrahedron cell is a truncation of a tetrahedron of the same size as the tetrahedral cells of the 120-cell's 5-cells. The four smaller tetrahedra truncated from the corners of the larger tetrahedron have edges which are 25.2° chords (of length 1/𝜙 or {{radic|0.19}}). The truncated tetrahedron edges (of length 1 or {{radic|1/2}}) are equal in length to the 41.4° center sections of the 104.5° 5-cell edge chords (of length {{radic|5}} or {{radic|5/2}}). The shorter diagonal of the hexagon faces is the 75.5° chord (of length {{radic|3}} or {{radic|1.5}}), which is the 180° complement of the 104.5° 5-cell edge chord. The dimensions of the truncated tetrahedron cell suggest that it was cut directly from a 5-cell tetrahedron cell, simply by cutting off the tetrahedron corners, but remarkably, that is not the case. The edges of the bitruncated 5-cell are not actually center sections of 5-cell edges, although they are exactly that length, because the edges of the bitruncated 5-cell do not lie in the same {12} central planes as the 5-cell edges. They are not colinear with 5-cell edges in any way, and only intersect 5-cell edges at vertices (the 5-cell edges' intersection points). Bitruncation of the 5-cells does ''not'' simply truncate each tetrahedron cell in place. By creating new edges which connect the intersection points of 5-cell edges, bitruncation does create 600 truncated tetrahedron cells perfectly sized to fit within the 600 original tetrahedron cells, but at new locations, not centered on an original 5-cell tetrahedron cell. These new locations lie on a smaller 3-sphere than the original locations.

[[File:Bitruncated_5-cell_net.png|thumb|Net of the bitruncated 5-cell honeycomb. 10 truncated tetrahedron cells alternately colored red and yellow.{{Sfn|Ruen: Net of the bitruncated 5-cell|2007}}]]
The 3-dimensional surface of each bitruncated 5-cell is a honeycomb of 10 truncated tetrahedron cells. The truncated tetrahedra are joined face-to-face in a 3-sphere-filling honeycomb (like the cells of any 4-polytope), at both their hexagon and triangle faces. Each hexagonal face of a cell is joined in complementary orientation to the neighboring cell. Three cells meet at each edge, which is shared by two hexagons and one triangle. Four cells meet at each vertex in a [[w:Tetragonal_disphenoid|tetragonal disphenoid]] vertex figure.

The 30-point bitruncated 5-cell is the convex common core (spatial [[w:Intersection|intersection]]) of six 5-point 5-cells in dual position. These six 5-cells are completely disjoint: they share no vertices, but their edges intersect orthogonally, at two points on each edge. Four 5-cell edges, from four of the six 5-cells, cross orthogonally in 30 places, the two intersection points on 60 5-cell edges: the 30 vertices of a bitruncated 5-cell. The six 5-cells are three dual pairs (in two different ways) of the self-dual 5-cell: six pairs of duals reciprocated at their common midsphere. Each dual pair intersects at just one of the two intersection points on each edge.{{Sfn|Klitzing|2025|loc=''sted'' (Stellated Decachoron)|ps=; [https://bendwavy.org/klitzing/incmats/sted.htm ''sted''] is the compound of two [https://bendwavy.org/klitzing/incmats/pen.htm ''pen'' (Pentachoron)] in dual position. Their intersection core (&quot;Admiral of the fleet&quot;) is [https://bendwavy.org/klitzing/incmats/deca.htm ''deca'' (decachoron aka bitruncated pentachoron)].}} 

We have seen these six 5-cells before, illustrated in ''[[User:Dc.samizdat/A symmetrical arrangement of eleven 11-cells#Eleven|§Eleven]]'' above; they are the compound of six completely disjoint 5-cells visited during each 5-cell's characteristic isoclinic rotation of period 15.{{Efn|1=The 5-cell edges of the six disjoint pentagrams in the {30/12}=6{5/2} triacontagram illustration do not appear to intersect, as the 5-cell edge chords of the bitruncated 5-cell compound are said to intersect. The {30/12}=6{5/2} projection is a perspective view from inside the curved 3-dimensional space of the 120-cell's surface, looking straight down a cylindrical column of six stacked 5-cells. None of the 5-cell edges intersect in that curved 3-space, except where they meet at the 30 120-cell vertices. The 60 5-cell edges do intersect orthogonally in 4-space, in groups of four, at 30 points which lie on a smaller 3-sphere than the 120-cell. None of those 4-space intersections are visible in these projections of points and lines on the 120-cell's 3-sphere surface.|name=5-cell edges do not intersect is S&lt;sup&gt;3&lt;/sup&gt;}} The six 5-cell compound is a stellated 4-polytope with 30 star-points, inscribed in the 120-cell.{{Efn|The stellated compound of six 5-cells in dual position is three pairs of 5-cells reciprocated at their common midsphere. It is composed of dual pairs of the [[W:Compound of five tetrahedra|compound of five tetrahedra]], which form the [[W:Compound of ten tetrahedra|compound of ten tetrahedra]]; its 30 tetrahedral cells are three such dual pairs. In the compound of five tetrahedra the edges of the tetrahedra do not intersect. In the compound of ten tetrahedra they intersect orthogonally, but not at their midpoints. Each edge has two points of intersection on it. The compound of ten tetrahedra is five pairs of dual tetrahedra reciprocated at their common midsphere. It is inscribed in a dodecahedron (its convex hull). Its ''stellation core'' is an icosahedron, but its ''common core'' where the tetrahedron edges intersect is a dodecahedron, the tetrahedrons' convex spatial intersection. The stellated compound of six 5-cells has the analogous property: it is inscribed in a bitruncated 5-cell (its convex hull), and its common core is a smaller bitruncated 5-cell. (Its stellation core is a [[W:Truncated 5-cell#Disphenoidal 30-cell|disphenoidal 30-cell]], its dual polytope.)|name=compound of six 5-cells}} It is 1/20th of the 600-point [[User:Dc.samizdat/A symmetrical arrangement of eleven 11-cells#How many building blocks, how many ways|great grand stellated 120-cell]], the compound of 120 5-cells. The convex hull of its 30 star-points is a bitruncated 5-cell. In this stellated compound of six 5-cells in dual position, the bitruncated 5-cell occurs in two places and two sizes: as both the convex hull, and the convex common core, of the six 5-cells. Inscribed in the larger 120-cell of radius {{radic|2}}, the convex hull of every six 5-cell compound is a bitruncated 5-cell with 60 edges of length 1. The convex common core of every six 5-cell compound is a bitruncated 5-cell with 60 edges of length {{radic|1/2}}, inscribed in the smaller 120-cell of radius 1.

In the 120-cell, 120 disjoint 5-cell building blocks combine in dual position groups of six related by the 5-cell's isoclinic rotation, to make 60 bitruncated 5-cells inscribed in the self-dual 5-cells' midsphere (at their edge intersections), and also 60 larger bitruncated 5-cells inscribed in the 120-cell, with each of the 600 vertices shared by three bitruncated 5-cells. The 120-cell is the convex hull of a compound of 20 disjoint (60 distinct) 30-point bitruncated 5-cells, generated by the characteristic rotation of its 120 completely disjoint 5-cells.{{Sfn|Klitzing|2025|loc= ''teppix'' (tripesic hexacosachoron)|ps=; ''[https://bendwavy.org/klitzing/incmats/teppix.htm teppix]'' is a compound of 60 [https://bendwavy.org/klitzing/incmats/deca.htm ''deca'' (decachoron aka bitruncated pentachoron)] with 3 ''deca'' sharing each vertex.}}{{Efn|In the 120-cell, 600 tetrahedron cells of 120 completely disjoint 5-cells intersect at two truncation points on each edge. Those 2400 truncation points are the vertices of 200 disjoint (and 600 distinct) truncated tetrahedra, which are the cells of 20 disjoint (and 60 distinct) bitruncated 5-cells. The 60 bitruncated 5-cells share vertices, but not edges, faces or cells. Each bitruncated 5-cell finds its 30 vertices at the 30 intersection points of 4 orthogonal 5-cell edges, belonging to 6 disjoint 5-cells, in the original 120-cell. Each bitruncated 5-cell vertex lies on an edge of 4 disjoint original 5-cells. Each bitruncated 5-cell edge touches intersection points on all 6 disjoint original 5-cells, and is shared by 3 truncated tetrahedra of just one bitruncated 5-cell.}}

In [[User:Dc.samizdat/A symmetrical arrangement of eleven 11-cells#Concentric 120-cells|the previous section]] we saw that the six 5-cell edges in each central plane intersect at the {6} vertices of the red hexagon, a great hexagon of a 24-cell. Each 5-cell edge, truncated at both ends at those intersection points, is a 24-cell edge of one of the 24-cells inscribed in a smaller 120-cell: the 600 intersection points. In this section we have seen how that truncation of 5-cell edges at both ends is the bitruncation of the 5-cell, and those 5-cell edges, truncated at both ends, are the same length as edges of bitruncated 5-cells inscribed in the original 120-cell. Bitruncating the {{radic|2}}-radius 120-cell's 120 5-cells reveals a smaller unit-radius 120-cell. The 24-cell edges of the smaller 120-cell are 5-cell edges of a larger-radius-by-{{radic|2}} 120-cell, truncated at both ends. Both 120-cells have 24-point 24-cells and 30-point bitruncated 5-cells inscribed in them. The 60° edge length of the 24-cells equals the radius; it is {{radic|2}} times the 41.4° edge length of the bitruncated 5-cells. The 60° 24-cell edges lie in the {12} central planes with the 5-cell edges and the 120-cell edges; but the 41.4° bitruncated 5-cell edges do not. The 120-cell contains 25 disjoint (225 distinct) 24-cells, and 20 disjoint (60 distinct) bitruncated 5-cells. Although regular 5-cells do not combine to form any ''regular'' 4-polytope smaller than the 120-cell, the 5-cells do combine to form bitruncated 5-cells which are subsumed in the 120-cell.{{Efn|Although only major chords occur in regular 4-polytopes smaller than the 120-cell, minor chords do occur in semi-regular 4-polytopes smaller than the 120-cell. Truncating the 5-cell creates minor chords, such as the 41.1° edges of the bitruncated 5-cell.}}

The 41.4° edge of the 30-point bitruncated 5-cell is also the triangle face edge we found in the 60-point central [[User:Dc.samizdat/A symmetrical arrangement of eleven 11-cells#The real hemi-icosahedron|section 8&lt;sub&gt;3&lt;/sub&gt; (Moxness's Hull #8) rhombicosidodecahedron]]. There are 60 distinct section 8&lt;sub&gt;3&lt;/sub&gt; rhombicosidodecahedra and 600 distinct truncated tetrahedron cells of 60 distinct (20 disjoint)  bitruncated 5-cells, and they share triangle faces, but little else. The truncated tetrahedron cells cannot be inscribed in the rhombicosidodecahedra, and the only chords they share are the 41.4° triangle edge and the 75.5° chord (the 180° complement of the 104.5° 5-cell edge chord).

The section 8&lt;sub&gt;3&lt;/sub&gt; rhombicosidodecahedron's 20 triangle faces lie over the centers of 20 larger-by-√2 5-cell faces, parallel to them and to a {12} central plane. The 5-cell faces are inscribed in the rhombicosidodecahedron, but are not edge-bound to each other; the 20 faces belong to 10 completely disjoint 5-cells. The 5-cell edges (but not the 5-cell faces) lie in {12} central planes; the 5-cell faces, the bitruncated 5-cell edges and their triangle and hexagon faces do not. Each section 8&lt;sub&gt;3&lt;/sub&gt; rhombicosidodecahedron is the intersection of ten {12} central planes, shared pairwise with ten other rhombicosidodecahedra; 11 rhombicosidodecahedra share ten {12} central planes pairwise, as cells of a 4-polytope share face planes pairwise. Each truncated tetrahedron cell of a bitruncated 5-cell shares none of the {12} central planes; it is the intersection of 6 great rectangles, with two parallel 41.1° edges lying in each, alternating with two parallel 138.6° chords (its hexagon face diameters). Each bitruncated 5-cell is the intersection of 30 great rectangle {4} central planes.

A truncated tetrahedron is face-bonded to the outside of each triangle face of a rhombicosidodecahedron. Three of its hexagon faces stand on the long edge of a rectangle face, perpendicular to the rectangle.

We find the 25.2° chord as the edge of the non-central section 6&lt;sub&gt;3&lt;/sub&gt; (Moxness's Hull #6) rhombicosidodecahedron. Those 120 semi-regular rhombicosidodecahedra have only that single edge (of length 1/𝜙 in a {{radic|2}}-radius 120-cell, or 1/𝜙{{radic|2}} in a unit-radius 120-cell). This edge length is in the golden ratio to the 41.4° edge of the 30-point bitruncated 5-cells, which is also the triangle face edge of the central section 8&lt;sub&gt;3&lt;/sub&gt; (Moxness's Hull #8) rhombicosidodecahedron. The 120 semi-regular section 6&lt;sub&gt;3&lt;/sub&gt; rhombicosidodecahedra share their smaller edges with 720 pentagonal prisms, 1200 hexagonal prisms and 600 truncated tetrahedron cells, in a semi-regular honeycomb of the 120-cell discovered by Alicia Boole Stott and described in her 1910 paper.{{Sfn|Boole Stott|1910|loc=Table of Polytopes in S&lt;sub&gt;4&lt;/sub&gt;|ps=; &lt;math&gt;e_2e_3C_{120}\ RID\ P_5\ P_6\ tT&lt;/math&gt;}} These truncated tetrahedra are 1/𝜙 smaller than the 600 cells of the bitruncated 5-cells.

The 60 distinct section 8&lt;sub&gt;3&lt;/sub&gt; rhombicosidodecahedra (Moxness's Hull #8) share pentagon faces. Each of the 120 dodecahedron cells lies just inside 12 distinct rhombicosidodecahedra which share its volume. Each rhombicosidodecahedron includes a ball of 13 dodecahedron cells, 12 around one at the center of the rhombicosidodecahedron, within its volume. The remainder of the rhombicosidodecahedron is filled by 30 dodecahedron cell fragments that fit into the concavities of the 13 cell ball of dodecahedra. These fragments have triangle and rectangle faces.

=== Rectifying the 16-cells ===
Bitruncation is not the only way to truncate a regular polytope, or even the simplest way. The simplest method of truncation is [[w:Rectification_(geometry)|''rectification'']], complete truncation at the midpoint of each edge.

Moreover, the 5-cell is not the only 120-cell building block we can truncate. We saw how bitruncation of the {{radic|2}}-radius 120-cell's 5-cells reveals the smaller unit-radius 120-cell, as the convex hull of a compound of 20 disjoint (60 distinct) bitruncated 5-cells. In the next paragraph we describe how rectification of the {{radic|2}}-radius 120-cell's 16-cells also reveals the smaller unit-radius 120-cell, as the convex hull of a compound of 25 disjoint (225 distinct) 24-cells. Those two operations on the 120-cell are equivalent. They are the same truncation of the 120-cell, which bitruncates 5-cells into bitruncated 5-cells, and also rectifies 16-cells into 24-cells. This single truncation of the 120-cell captures the distant relationship of 5-cell building blocks to 16-cell building blocks.

Rectifying a {{radic|2}}-radius 16-cell of edge 2 creates a unit-radius 24-cell of unit edge, which is the compound of three unit-radius 16-cells. Rectifying one of those inscribed unit-radius 16-cells of edge {{radic|2}} creates a smaller 24-cell of radius and edge {{radic|1/2}}, which is the [[24-cell#Relationships among interior polytopes|common core (intersection]]) of the unit 24-cell and its three inscribed 16-cells. Like the 120-cell itself, the 24-cell is concentric to a smaller instance of itself of {{radic|1/2}} its radius. The common core of each of the 24-cells inscribed in the 120-cell is the corresponding 24-cell in the smaller 120-cell.

=== Rectifying the 5-cells ===
In the previous section we bitruncated the 5-cells and rectified the 16-cells, as one combined truncation operation that yields a smaller 120-cell of {{radic|1/2}} the radius. We can also rectify the 5-cells; but that is another distinct truncation operation, that yields a smaller 4-polytope of {{radic|3/8}} the radius.

[[File:Great (12) chords of rectified 5-cell.png|thumb|400px|5-cell edge chords of the radius {{radic|2}} 120-cell in one of its 200 irregular {12} dodecagon central planes. The {6} bitruncation points (two on each of the 104.5° {{radic|5}} 5-cell edges) lie on a smaller 120-cell of radius 1 (the red circle); they are bitruncated 5-cell vertices. The {6} rectification points (at the midpoints of the 5-cell edges) lie on a still smaller 1200-point 4-polytope of radius {{radic|0.75}} ≈ 0.866 (the magenta circle); they are rectified 5-cell vertices.]]
Rectifying the 5-cell creates the 10-point 10-cell semi-regular [[W:Rectified 5-cell|rectified 5-cell]], with 5 tetrahedral cells and 5 octahedral cells. It has 30 edges and 30 equilateral triangle faces. The 3-dimensional surface of the rectified 5-cell is an alternating [[W:Tetrahedral-octahedral honeycomb|tetrahedral-octahedral honeycomb]] of just 5 tetrahedra and 5 octahedra, tessellating the 3-sphere. Its vertex figure is the cuboctahedron.

The rectified 5-cell is a [[w:Blind_polytope|Blind polytope]], because it is convex with only regular facets. It is a bistratic lace tower which has exactly three vertex layers with the same Coxeter symmetry, aligned on top of each other.{{Sfn|Klitzing|2025|loc=''[https://bendwavy.org/klitzing/incmats/rap.htm rap (rectified pentachoron)]''}}

If the 120 5-cells in a radius {{radic|2}} 120-cell are rectified, the rectified 5-cells lie on a smaller 4-polytope of radius {{radic|3/4}} (the magenta circle in the diagram), inscribed at the 1200 midedges of the 5-cells.{{Efn|{{radic|3/4}} ≈ 0.866 is the long radius of the {{radic|2}}-edge regular tetrahedron (the ''unit-radius'' 16-cell's cell). Those four tetrahedron radii are not orthogonal, and they radiate symmetrically compressed into 3 dimensions (not 4). The four orthogonal {{radic|3/4}} ≈ 0.866 displacements summing to a 120° degree displacement in the unit-radius 24-cell's characteristic isoclinic rotation{{Efn|name=isoclinic 4-dimensional diagonal}} are not as easy to visualize as radii, but they can be imagined as successive orthogonal steps in a path extending in all 4 dimensions, along the orthogonal edges of the [[24-cell#Characteristic orthoscheme|24-cell's 4-orthoscheme]]. In an actual left (or right) isoclinic rotation the four orthogonal {{radic|3/4}} ≈ 0.866 steps of each 120° displacement are concurrent, not successive, so they ''are'' actually symmetrical radii in 4 dimensions. In fact they are four orthogonal [[24-cell#Characteristic orthoscheme|mid-edge radii of a unit-radius 24-cell]] centered at the rotating vertex. Finally, in 2 dimensional units, {{radic|3/4}} ≈ 0.866 is the ''area'' of the equilateral triangle face of the unit-edge, unit-radius 24-cell.|name=root 3/4}} This smaller 4-polytope is not a smaller 120-cell; it is the convex hull of a 1200-point compound of two 120-cells. The rectified 5-cell does not occur inscribed in the 120-cell; it only occurs in this compound of two 120-cells,  240 regular 5-cells, and 120 rectified 5-cells. The rectified 5-cell with its 80.4° edge chord does not occur anywhere in a single 120-cell, so the rectified 5-cell's edges are not the edges of any polytope found in the 120-cell. The rectified 5-cell's significance to the 120-cell is well-hidden, but we shall see that it has an indirect role as a building block of the 11-cells in the 120-cell.

Each 10-point rectified 5-cell is the convex hull of a stellated compound of two completely orthogonal 5-point 5-cells: five pairs of antipodal vertices. Their edges intersect at the midedge, and they are ''not'' in dual position (not reciprocated at their common 3-sphere). In this stellated compound of two completely orthogonal 5-cells (which does not occur in the 120-cell), the rectified 5-cell occurs in two places and two sizes: as both the convex hull of the vertices, and the convex common core of the midedge intersections.

The edge length of the rectified 5-cells in the smaller 1200-point 4-polytope of radius {{radic|3/4}} is {{radic|5/4}}. The edge length of a unit-radius rectified 5-cell is {{radic|5/3}}. The rectified 5-cell is characterized by the ratio between its edge and its radius, {{radic|5}} to {{radic|3}}, the way the regular 5-cell is characterized by the ratio {{radic|5}} to {{radic|2}}. In the 120-cell of radius {{radic|2}}, the 104.5° {{radic|5}} chord is the 5-cell edge, and the 75.5° {{radic|3}} chord is the distance between two parallel 5-cell edges (belonging to two disjoint 5-cells). The 104.5° and 75.5° chords are 180° complements, so they form great rectangles in the {12} central planes of the 120-cell (the red rectangles in the diagram). In the 1200-point compound of two 120-cells of radius {{radic|3}} where 120 rectified 5-cells occur, the {{radic|3}} chord is the ''radius'' (not the 75.5° chord), and the {{radic|5}} chord is the ''rectified'' 5-cell edge of arc 80.4° (not the 104.5° regular 5-cell edge).

=== Truncating the 5-cells ===
[[File:Great (12) chords of unit thirds radius.png|thumb|400px|Truncating the 120-cell's 5-cells at ''one-third'' of their edge length produces a smaller 120-cell of ''one-half'' the radius, with vertices at {6} one-third intersection points of the 120° {{Radic|6}} chords (''not'' of the 104.5° {{Radic|5}} 5-cell edge chords). The green {6} hexagon is a 24-cell great hexagon in the resulting smaller-by-one-half 1200-point 4-polytopes. Because there are {12} such intersection points in each {12} central plane, there are two chiral ways to perform this truncation, which produce disjoint 1200-point 4-polytopes.]]
A third simple way to truncate the 5-cell is at one-third of its edge length. This truncation of the 5-cell creates a 20-point, 10-cell semi-regular 4-polytope, known somewhat ambiguously as ''the'' [[w:Truncated_5-cell|truncated 5-cell]], with 5 truncated tetrahedron cells (like the bitruncated 5-cell's), and 5 regular tetrahedron cells (like the rectified 5-cell's).

The 3-dimensional surface of the truncated 5-cell is an alternating honeycomb of 5 truncated tetrahedra and 5 regular tetrahedra. It resembles the smaller rectified 5-cell with truncated tetrahedra instead of octahedra, or the larger bitruncated 5-cell with half its truncated tetrahedra replaced by regular tetrahedra. 

When the regular 5-cell is truncated at ''one-third'' of its edge length, the radius and edge length of the the resulting truncated 5-cell are ''one-half'' the regular 5-cell's radius and edge length. When the 120 5-cells in a 120-cell of radius 2 are truncated at one-third of their edge length, the truncated 5-cells lie on a smaller 120-cell of radius 1. The edge length of the unit-radius truncated 5-cell is {{radic|5/8}}, one-half the unit-radius 5-cell's edge length of {{radic|5/2}}. The rectified 5-cell is characterized by the ratio between its edge and its radius, {{radic|5}} to {{radic|8}}, the way the regular 5-cell is characterized by the ratio {{radic|5}} to {{radic|2}}, and the rectified 5-cell is characterized by the ratio {{radic|5}} to {{radic|3}}.

The 20-point truncated 5-cell is the convex common core of a stellated compound of four 5-cells (the four 5-cells' spatial intersection). The convex common core has half the radius of the convex hull of the compound. The four 5-cells are orthogonal (aligned on the four orthogonal axes), but none of their 20 vertices are antipodal. The 5-cells are ''not'' in dual position (not reciprocated at their common 3-sphere). The 5-cell edges do ''not'' intersect, but truncating the 120-cell's 5-cell edge chords at their one-third points truncates the 120-cell's other chords similarly. It is the 120-cell's 120° chords (of length {{Radic|6}} in a {{Radic|2}}-radius 120-cell, or {{Radic|3}} in a unit-radius 120-cell) which intersect each other at their one-third points. Four edges (one from each 5-cell) intersect orthogonally at just ''one'' of the two one-third intersection points on each of the 2400 120° chords that join vertices of two disjoint 5-cells. There are two chiral ways to perform this truncation of the 120-cell; they use the alternate intersection points on each edge, and produce disjoint 600-point 120-cells. 

The 52.25° edge chord of the truncated 5-cell (one-half the 5-cell's 104.5° edge chord) is not among the [[120-cell#Chords|chords of the 120-cell]], so the truncated 5-cell does not occur inscribed in the 120-cell; it occurs only in a compound of four 120-cells, and 480 regular 5-cells, and 120 truncated 5-cells. In the stellated compound of four orthogonal 5-cells (which does not occur in the 120-cell), the truncated 5-cell occurs in two places and two sizes: as both the convex hull of the 20 vertices, and the convex common core (of half the radius of the convex hull) of the 20 intersection points of four orthogonal 120° chords.

== The perfection of Fuller's cyclic design ==
[[File:Jessen's unit-inscribed-cube dimensions.png|thumb|400px|Jessen's icosahedron on the 2-sphere of diameter {{radic|5}} has an inscribed unit-cube. It has 4 orthogonal axes (not shown) through the equilateral face centers (the inscribed cube's vertices), 6 non-orthogonal {{radic|5}} long diameter axes, and 3 orthogonal parallel pairs of {{radic|4}} reflex edges, {{radic|1}} apart.]]

This section is not an historical digression, but a deep dive to the heart of the matter, like Coxeter on Todd's perfect pentads. In this case the heart is found in the [[Kinematics of the cuboctahedron|kinematics of the cuboctahedron]],{{Sfn|Christie|2022|loc=''[[Kinematics of the cuboctahedron|Kinematics of the cuboctahedron]]''}} first described by [[W:Buckminster Fuller|Buckminster Fuller]].{{Sfn|Christie: On Fuller's use of language|2024|loc=''[[W:User:Dc.samizdat#Bucky Fuller and the languages of geometry|Bucky Fuller and the languages of geometry]]''}}

After inventing the rigid geodesic dome, Fuller studied a family of domes which have no continuous compression skeleton, but only disjoint rigid beams joined by tension cables. Fuller called these envelopes ''tension integrity structures'', because they possess independent tension and compression elements, but no elements which do both. One of the simplest [[w:Tensegrity|tensegrity]] structures is the [[w:Tensegrity#Tensegrity_icosahedra|tensegrity icosahedron]], first described by [[W:Kenneth Snelson|Kenneth Snelson]], a master student of Fuller's.{{Efn|Fuller failed to credit [[W:Kenneth Snelson|Snelson]] for the first ascent of the tensegrity icosahedron, a sad lapse for a great educator, as if Coxeter had not gracefully acknowleged Grünbaum. Snelson taught it to Fuller, his teacher, at a Black Mountain College summer session&lt;ref&gt;{{Citation|year=1949|title=R. Buckminster Fuller|publisher=Museum and Arts Center, 1948-1949|place=Black Mountain College|url=https://www.blackmountaincollege.org/buckminster-fuller}}&lt;/ref&gt; where Fuller taught the geodesic domes he had invented, and the nascent principles of tension integrity geodesics he was exploring. It would have burnished Fuller's own reputation to gratefully acknowledge his exceptionally quick student's discovery. No doubt Fuller was about to discover the tensegrity icosahedron himself, but Snelson saw it first.&lt;ref&gt;{{Citation|last=Snelson|first=Kenneth|author-link=W:Kenneth Snelson|publisher=Stanford University|title=Bucky Conversations: Conversations on the Life and Work of an Enigmatic Genius|year=2003|url=https://searchworks.stanford.edu/view/mf245gr4637|postscript=; Ken Snelson, at a symposium on Fuller's legacy, acknowledged that Fuller led him up to the tensegrity icosahedron. Snelson said that he then conceived it on his own, built the first physical model, and presented it to Fuller.}}&lt;/ref&gt;|name=Snelson and Fuller}}

A tensegrity icosahedron is an icosahedral geodesic sphere whose 6 orthogonal reflex compression struts float gently in space, linked only by 24 tension cables which frame equilateral faces of the icosahedron, the whole 2-sphere expanding and contracting symmetrically with ''infinitesimal mobility'', a spring-like symmetrical motion leveraged from whatever tiny amount of elasticity remains in the steel struts and cables.

The polyhedron that is the basis for this flexible structure is the Jessen's icosahedron, that we found 10 of in Moxness's Hull #8 rhombicosidodecahedron, the real cell of the 11-cell. The Jessen's was named by [[w:Adrien_Douady|Douady]] the ''six-beaked shaddock'' because it resembles the fish whose normal affect is with their mouth 90° open, but a cubical shadfish with mouths on all six sides. At the limits, the gender neutral shad can open their six beaks all the way, until they become flat squares and they becomes a cuboctahedron, or they can shut them all tight like a turtle retracting into their octahedron shell. The six mouths always move in unison. This is [[Kinematics of the cuboctahedron#Jitterbug transformations|Fuller's ''jitterbug'' transformation]] of the 12-point ''vector equilibrium'', his name for the unstable [[Kinematics of the cuboctahedron|kinematically flexing cuboctahedron]]. Fuller found that its always-symmetric transformation through 4 distinct forms of the same 12-vertex polyhedron was a closed cycle with two equilibrium points, one stable and the other unstable. The shad's normal 90° open visage is the stable point, the shape the [[Kinematics_of_the_cuboctahedron#Elastic-edge transformation|elastic tensegrity icosahedron]] rests in and strives to return to. The widest-open square-faced cuboctahedron is the unstable inflection point, where the shad gets to decide non-deterministically (that is, without being compelled one way or the other) whether or not to do their ''really'' odd trick -- where they flip their 6 jaws 90 degrees in their 6 faces and shut their 6 beaks on the opposite axis of their squares than the one they opened them on -- or whether they will just shut them all the same way again. Interestingly, the regular icosahedron is one of the shad's guises too, just slightly more gaping than their normal visage. Fuller made a meal of the shad, finding all the insightful things to say about the kinematics of the only fish who can make their edge length exactly the same size as their radius, when they open their mouths all the way. Fuller built physical models of the 12-point vector equilibrium, and even gave demonstrations to audiences of the flexible shad, opening and closing their mouths in spherical synchrony, their 4 pairs of opposite equilateral triangles spiraling toward and away from each other in parallel, always opposed like the two triangles inscribed in a hexagon, counter-rotating like dual [[W:Propellor|tri-propellors]] as they dance toward each other until their edges meet in an octahedron (a hexad), then backing away again while still rotating in the same directions. All this was overlaid with Fuller's own deep commentary, in physical language anyone can understand. Bucky flew the shad through the inflection points in its [[W:Spinor|spinor]] orbit, explaining its [[W:Möbius_loop|Möbius loop]] with vivid apt similes like trimming a submarine's ballast tanks, stalling an airplane at apogee, and nature's abhorrence of the unstable equilibrium point.{{Sfn|Fuller|1975|ps=; In this film Fuller carefully folds a model of the cuboctahedron made of rigid struts with flexible joints through the entire transformation cycle; he also shows how a rigid regular icosahedron can be rotated inside an inscribing &quot;vector edge cube&quot; (a cube with an octahedron inscribed in it), keeping the 12 vertices on the surface of the cube (and on the edges of the octahedron inscribed in the cube) at all times.}}

Earlier, we noticed 10 Jessen's inscribed in each 60-point rhombicosidodecahedron central section of the 120-cell (each real hemi-icosahedron). Each rhombicosidodecahedron is a compound of 5 disjoint Jessen's, in two different ways, just the way the 120-cell is a compound of 5 disjoint 600-cells, in two different ways. In the rhombicosidodecahedron each regular icosahedron vertex has been replaced by the five vertices of a little pentagon face (a 120-cell face), and the regular icosahedron has been replaced by 5 disjoint (10 distinct) Jessen's icosahedra.{{Efn|name=compound of 5 cuboctahedra}} The 3 pairs of parallel 5-cell edges in each Jessen's lie a bit uncertainly, infinitesimally mobile and [[Kinematics of the cuboctahedron#Elastic-edge transformation|behaving like the struts of a tensegrity icosahedron]], so we can push any parallel pair of them apart or together infinitesimally, making each Jessen's icosahedron expand or contract infinitesimally. All 600 Jessen's, all 60 rhombicosidodecahedra, and the 120-cell itself expand or contract infinitesimally, together.{{Efn|name=tensegrity 120-cell}} Expansion and contraction are Boole Stott's operators of dimensional analogy, and that infinitesimal mobility is the infinite calculus of an inter-dimensional symmetry.  

The Jessen's unique element set is its 6 long reflex edges, which occur in 3 parallel opposing pairs. Each pair lies in its own central plane, and the 3 central planes are the orthogonal central planes of the octahedron, the orthonormal (x,y), (y,z), and (x,z) planes of a Cartesian basis frame. The 6 reflex edges are all disjoint from one another, but each pair of them forms a merely conceptual great rectangle with the pair of invisible exterior chords that lies in the same central plane. These three great rectangles are storied elements in topology, the [[w:Borromean_rings|Borromean rings]]. They are three rectangular chain links that pass through each other and would not be separated even if all the other cables in the tensegrity icosahedron were cut; it would fall flat but not apart, provided of course that it had those 6 invisible exterior chords as still uncut cables.

[[File:Jessen's √2 radius dimensions.png|thumb|400px|Moxness's 60-point section 8&lt;sub&gt;3&lt;/sub&gt; rhombicosidodecahedron is a compound of 5 of this 12-point Jessen's icosahedron, shown here in a {{radic|2}}-radius 3-sphere with {{radic|5}} reflex edges. It has an inscribed {{radic|1.5}} green cube, and its 8 equilateral triangle faces are 24-cell faces. This is a ''vertex figure'' of the 120-cell. The center point is also a vertex of the 120-cell.]]
As a matter of convenience in this paper, we have used {{radic|2}}-radius metrics for 3-sphere polytopes, so e.g. the 5-cell edge is {{radic|5}}, where in unit-radius coordinates it would be {{Radic|5/2}}. Here we give two illustrations of the Jessen's using two different metrics: the 2-sphere Jessen's has a {{radic|5}} diameter, and the 3-sphere Jessen's has a {{radic|2}} radius. This reveals a curiously cyclic way in which our 2-sphere and 3-sphere metrics correspond. In the embedding into 4-space the characteristic root factors of the Jessen's seem to have moved around. In particular, the {{radic|5}} chord has moved to the former {{radic|4}} chord.

We might have expected to find the 6-point hemi-icosahedron's 5-cell triangular faces identified with the Jessen's 8 equilateral triangle faces somehow, but they are not the same size, so that is not the way the two polytopes are identified. The {{radic|5}} reflex edges of the Jessen's are the 5-cell edges. A 5-cell face has its three {{radic|5}} edges in three different Jessen's icosahedra.

The Jessen's is not a cell, but one of the 120-cell's vertex figures, like the [[600-cell#Icosahedra|120 regular icosahedron vertex figures in the 600-cell]]. That is why we find 600 Jessen's, of course. The center point in this Jessen's illustration is another ''vertex'' of the 120-cell, not the empty center of a cell.{{Efn|The 13 vertices of the illustration which include its center point lie in the curved 3-space of the 3-sphere, on the 120-cell's surface. In 4-space, this object is an [[W:Icosahedral pyramid|icosahedral pyramid]] with a Jessen's icosahedron as its base, and the apical center vertex as its apex. The center point in the illustration is a vertex of the 120-cell, and the center of the curved Jessen's, and the apex of the icosahedral pyramid, but it is not the center point in 4-space of a flat 3-dimensional Jessen's icosahedron. The center point of the base Jessen's icosahedron is a point inside the 120-cell, not a 120-cell vertex on its surface. It lies in the same 3-dimensional flat-slice hyperplane as the 12 vertices of the base Jessen's icosahedron, directly below the 13th 120-cell vertex.}} 

Each Jessen's includes the central apex vertex, {{radic|2}} radii, {{radic|2}} edges and {{radic|5}} chords of a vertex figure around the 120-cell vertex at its center. The {{radic|2}} face edges are 24-cell edges (also tesseract edges), and the inscribed green cube is the 24-cell's cube vertex figure. The 8 {{radic|2}} face triangles occur in 8 distinct 24-cells that meet at the apex vertex.{{Efn|Eight 24-cells meet at each vertex of a [[24-cell#Radially equilateral honeycomb|honeycomb of 24-cells]]: each one meets its opposite at that shared vertex, and the six others at a shared octahedral cell.{{Efn|In the 600-cell, which contains [[600-cell#Twenty-five 24-cells|25 24-cells]], 5 24-cells meet at each vertex. Each pair of 24-cells at the vertex meets at one of 200 distinct great hexagon central planes. Each 24-cell shares one of its great hexagons with 16 other 24-cells, and is completely disjoint from 8 other 24-cells. In the 120-cell, which contains 10 600-cells (5 disjoint 600-cells two different ways) and 225 24-cells (25 disjoint 24-cells), 8 24-cells meet at each vertex. Each 24-cell shares one of its great hexagons with 16 other 24-cells, and is completely disjoint from 208 other 24-cells. But since in the 120-cell the great hexagons lie in pairs in one of 200 {12} central planes (containing 400 great hexagons), each 24-cell shares one of its {12} central ''planes'' with .. other 24-cells.}}}} This Jessen's vertex figure includes 5-cell edges and 24-cell edges (which are also tesseract edges), so it is descriptive of the relationship between those regular 4-polytopes, but it does not include any 120-cell edges or 600-cell edges, so it has nothing to say, by itself, about the &lt;math&gt;H_4&lt;/math&gt; polytopes. It is only a tiny fraction of the 120-cell's full vertex figure, which is a staggeringly complex star: 600 chords of 30 distinct lengths meet at each of the 600 vertices.

The {{radic|5}} chords are 5-cell edges, connecting vertices in different 24-cells. The 3 pairs of parallel 5-cell edges in each Jessen's lie in 3 orthogonal planes embedded in 4-space, so somewhere there must be a 4th pair of parallel 5-cell edges orthogonal to all of them, in fact three more orthogonal pairs, since 6 orthogonal planes (not just 4) intersect at a point in 4-space. The Jessen's situation is that it lies completely orthogonal to another Jessen's, the vertex figure of the antipodal vertex, and its 3 orthogonal planes (xy, yz, zx) lie completely orthogonal to its antipodal Jessen's planes (wz, wx, wy).{{Efn|name=Six orthogonal planes of the Cartesian basis}} These 6 pairs of parallel 5-cell edges form a 24-point 4-polytope, composed of two completely orthogonal 12-point Jessen's, inscribed in two completely orthogonal rhombicosidodecahedra. This 24-point 4-polytope is not a 24-cell: the 24-cell is not a compound of two 12-point Jessen's. But it turns out that two completely orthogonal 12-point Jessen's indirectly define a 24-point 24-cell. We shall see that their 4-space intersection is a 24-cell.

This finding, of two completely orthogonal 12-point Jessen's isomorphic to a 24-cell, brings Fuller's study of [[w:Tesseract#Radial_equilateral_symmetry|radially equilateral]] vector equilibrium polytopes to its completion in the 24-cell. Fuller began with the hexagon, the 6-point vector equilibrium in 2 dimensions, the only polygon with its radius equal to its edge length. He studied the cuboctahedron, the 12-point vector equilibrium in 3 dimensions, the only polyhedron with its radius equal to its edge length, in all its flexible guises. He discovered its stable equilibrium as the the Jessen's shadfish, with its cube of 6 open mouths and 90° dihedral angles between all its faces, the geometric center of [[WikiJournal Preprints/Kinematics of the cuboctahedron|the cuboctahedron's kinematic transformation]] through the regular polyhedra: tetrahedron, octahedron, Jessen's, regular icosahedron, and cuboctahedron. Fuller's study of kinematic Euclidean geometry did not reach the 4-polytopes, and the ultimate 24-point vector equilibrium in 4 dimensions, the 24-cell, the unique &lt;math&gt;F_4&lt;/math&gt; symmetry found only in 4 dimensions. But Fuller led us up to it, through the kinematics of infinitesimal mobility, and that route to it is our clue to the infinite calculus of dimensional expansion and contraction.

We observe this geometry, of two completely orthogonal 12-point Jessen's isomorphic to a 24-cell, only in the 120-cell. The 600-cell contains 12-point Jessen's, but no completely orthogonal pairs of them. The 24-cell individually, and the 25 24-cells in the 600-cell, are not occupied by a pair of 12-point Jessen's. The 24-point 24-cell is not, in fact, a compound of two 12-point Jessen's. While the 120-cell's ratio of disjoint 12-point Jessen's to disjoint 24-point 24-cells is &lt;math&gt;50/25 = 2/1&lt;/math&gt;, the ratio of distinct 12-point Jessen's to distinct 24-point 24-cells is &lt;math&gt;600/225 = 8/3 &lt;/math&gt;.

We observe another geometry, of 24-cells in dual positions, only in the 120-cell. No two 24-cells in the 600-cell are in dual positions, but in the 120-cell with 225 distinct 24-cells (25 disjoint 24-cells), every 24-cell is in dual position to other 24-cells. The 24-cell is self-dual, and when two 24-cells of the same radius are in dual position, they are completely disjoint with respect to vertices, but they intersect at the midpoints of their 96 orthogonal edges. Since four orthogonal lines intersect at a point in 4-space, in addition to the midedge radius and the two intersecting edges there is a third intersecting edge through each point of contact: ''three'' 24-cells lie in dual positions to each other, with their orthogonal edges intersecting. Three ''pairs'' of 24-cells lie in orthogonal dual positions to each other, sharing no vertices, but the same 96 midedge points.

We also observe this geometry, of 24-cells in dual positions, in the irregular {12} dodecagon central planes, which have two inscribed great {6} hexagons, offset from each other irregularly by a 15.5° arc on one side (a 120-cell edge chord) and a 44.5° arc on the other side. The 600-cell and the 24-cell contain only great {6} hexagon planes. The two inscribed great {6} hexagons in each {12} central plane belong to a pair of 24-cells in dual position.

We observe inscribed 5-cells only in the 120-cell. The 600-cell has &lt;math&gt;5^2 = 25&lt;/math&gt; distinct 24-cells inscribed in 120 vertices, and is a regular compound of &lt;math&gt;5&lt;/math&gt; disjoint 24-cells in 10 different ways, but it has no inscribed 5-point 5-cells joining corresponding vertices of 5 of its 25 24-cells.{{Efn|The 600-cell does have inscribed 5-point great pentagons joining corresponding vertices of 5 of its 25 24-cells. The 600-cell has 2-dimensional pentads, but only the 120-cell has 4-dimensional pentads.}} The 120-cell has &lt;math&gt;5^2 \times 3^2 = 225&lt;/math&gt; distinct 24-cells inscribed in 600 vertices, and is a regular compound of &lt;math&gt;5^2 = 25&lt;/math&gt; disjoint 24-point 24-cells in 10 different ways, and it has 120 inscribed 5-cells joining corresponding vertices of 5 of its 225 24-cells.

[[File:Great 5-cell √5 digons rectangle.png|thumb|400px|Three {{radic|5}} x {{radic|3}} rectangles (red) are found in 200 central planes of the radius {{radic|2}} 120-cell, and in its 600 Jessen's icosahedra, where 3 orthogonal rectangles comprise each 12-point Jessen's. Each central plane intersects {12} vertices in an irregular great dodecagon. These are the same 200 dodecagon central planes illustrated above, which also contain 6 120-cell edges (solid red), which form two opposing ''irregular'' great hexagons (truncated triangles) with the {{radic|5}} chords. The {12} central planes also contain four {{radic|6}} great triangles (green), inscribed in two {{radic|2}} ''regular'' great hexagons. 1200 smaller {{radic|5}} 5-cell ''face'' triangles (blue) occupy 600 other, non-central planes.]]
The Jessen's eight {{radic|6}} triangle faces lie in eight great {6} hexagons in eight {12} central planes of the 120-cell. The Jessen's {{radic|5}} chords lie in great {4} rectangles ({{radic|5}} by {{radic|3}}) in orthogonal central planes of the Jessen's. These are ''also'' {12} central planes of the 120-cell. We can pick out the {{radic|5}} by {{radic|3}} rectangles in the {12} central plane chord diagrams (bounded by red dashed lines). The Jessen's vertex figure is bounded by eight {12} face planes, and divided by six orthogonal {12} central planes, and all 14 planes are {12} central planes of the 120-cell.

The 5-cells' ''face'' planes are ''not'' central planes of the 120-cell. Recall that 10 distinct Jessen's are inscribed in each rhombicosidodecahedron, as two chiral sets of 5 completely disjoint Jessen's, such that two {{radic|5}} 5-cell edges meet at each vertex of the rhombicosidodecahedron. These are two of the four 5-cell edges that meet at each vertex of the 5-cell: edges of a 5-cell face, 20 of which are disjointly inscribed in each rhombicosidodecahedron. In each Jessen's the 6 {{radic|5}} reflex edges are disjoint, and in each rhombicosidodecahedron only two edges meet at each vertex, but in the 120-cell each {{radic|5}} chord meets three others, that lie in three other Jessen's. Each 5-cell face triangle has each edge in a distinct Jessen's, but the face triangle lies in just one rhombicosidodecahedron. The 1200 5-cell face triangles lie in opposing pairs, in one of 600 ''non-central'' hexagon ''face'' planes.

Each of the 60 rhombicosidodecahedra is a compound of 10 Jessen's (5 disjoint Jessen's in two different ways), just the way the 120-cell is a compound of 10 600-cells (5 disjoint 600-cells in two different ways), and the 120-cell's dodecahedron cell is a compound of 10 600-cell tetrahedron cells (5 disjoint tetrahedra in two different ways).

The 600 Jessen's in the 120-cell occur in bundles of 8 disjoint Jessen's, in 4 completely orthogonal pairs, each pair aligned with one of the four axes of the Cartesian coordinate system. Collectively they comprise 3 disjoint 24-cells in orthogonal dual position. They are [[24-cell#Clifford parallel polytopes|Clifford parallel 4-polytopes]], 3 completely disjoint 24-cells 90° apart, and two sets of 4 completely disjoint Jessen's 15.5° apart.

Opposite triangle faces in a Jessen's occupy opposing positions in opposite great hexagons. In contrast, the two completely orthogonal Jessen's are completely disjoint, with completely orthogonal bounding planes that intersect only at one point, the center of the 120-cell. The corresponding {{radic|6}} triangle faces of two completely orthogonal Jessen's occupy completely orthogonal {12} central planes that share no vertices.

If we look again at a single Jessen's, without considering its completely orthogonal twin, we see that it has 3 orthogonal axes, each the rotation axis of a plane of rotation that one of its Borromean rectangles lies in. Because this 12-point (tensegrity icosahedron) Jessen's lies in 4-space, it also has a 4th axis, and by symmetry that axis too must be orthogonal to 4 vertices in the shape of a Borromean rectangle: 4 additional vertices. We see that the 12-point (vertex figure) Jessen's is part of a 16-point (8-cell) tesseract containing 4 orthogonal Borromean rings (not just 3), which should not be surprising since we already found it was part of a 24-point (24-cell) 4-polytope, which contains 3 16-point (8-cell) tesseracts. Each 12-point (6 {{radic|5}} reflex edge) Jessen's is one of 10 concentric Jessen's in a rhombicosidodecahedron, two sets of 5 disjoint Jessen's rotated with respect to each other isoclinically by 12° x 12° = 15.5°, with a total of 60 disjoint {{radic|5}} edges. Each 12-point (24 {{radic|6}} edge) Jessen's is one of 8 concentric Jessen's in two 24-cells in dual positions, rotated with respect to each other isoclinically by 41.4° x 41.4° = 90°, with a total of 192 {{radic|6}} edges.{{Efn|There are 96 {{radic|6}} chords in each 24-cell, linking every other vertex under its 96 {{radic|2}} edges.}} The 24-point 24-cell has 4 Hopf fibrations of 4 hexagonal great circle fibers, so it is a complex of 16 great hexagons, generally not orthogonal to each other, but containing 3 sets of 4 orthogonal great hexagons. Three Borromean link great rectangles are inscribed in each great hexagon, and three tesseracts are inscribed in each 24-cell. Four of the 6 orthogonal [[w:Borromean_rings|Borromean link]] great rectangles in each completely orthogonal pair of Jessen's are inscribed in each tesseract.

== Conclusion ==

Thus we see what the 11-cell really is: an unexpected seventh regular convex 4-polytope falling between the 600-cell and 120-cell, a quasi-regular compound of 600-cell and 5-cell (an icosahedron-tetrahedron analogue), as the 24-cell is an unexpected sixth regular convex polytope falling between the 8-cell and 600-cell, a quasi-regular compound of 8-cell and 16-cell (a cube-octahedron analogue). Like the 5-cell, the 11-cell is a far-side 4-polytope with its long edges spanning the near and far halves of the 3-sphere. Unlike the 5-cell, the 11-cell's left and right rotational instances are not the same object: they have distinct cell polyhedra, which are duals. The 11-cell is a real regular convex 4-polytope, not just an [[W:abstract polytope|abstract 4-polytope]], but not just a singleton regular convex 4-polytope, and not just a single kind of cell honeycomb on the 3-sphere.{{Sfn|Coxeter|1970|loc=''Twisted Honeycombs''}} Though it is all those things singly, it never occurs singly, but its multiple instances in the 120-cell compound to all those things, and significantly more.

The 11-cell (singular) is the 11-vertex (17 cell) non-uniform Blind 4-polytope, with 11 non-uniform [[W:Rhombicosidodecahedron|rhombicosidodecahedron]] cells. The abstract regular 11-point (11-cell) has a realization in Euclidean 4-space as this convex 4-polytope, with regular facets and regular triangle faces.

The 11-cell (plural) is subsumed in the 120-cell, as all the regular convex 4-polytopes are. The compound of eleven 11-cells (the ..-cell) and Schoute's compound of five 24-cells (the 600-cell) is the quasi-regular 137-point (..-cell) 4-polytope, an object of further study.

The 11-cells' realization in the 120-cell as 600 12-point (Legendre vertex figures) captures precisely the geometric relationship between the regular 5-cell and 16-cell (4-simplex and 4-orthoplex), which are both inscribed in the 11-point (17-cell), 137-point (..-cell) and 600-point (120-cell), but are so distantly related to each other that they are not found together anywhere else. More generally, the 11-cells capture the geometric relationship between the regular ''n''-polytopes of different ''n''.

The symmetry groups of all the regular 4-polytopes are expressed in the 11-cells, paired in a special way with their analogous 3-symmetry groups. It is not simple to state exactly what relates 3-symmetry groups to 4-symmetry groups (there is Dechant's induction theorem),{{Sfn|Dechant|2021|loc=''Clifford Spinors and Root System Induction: H4 and the Grand Antiprism''}} but the 11-cells seem to be the expression of their dimensional analogies.

== Build with the blocks ==

&lt;blockquote&gt;&quot;The best of truths is of no use unless it has become one's most personal inner experience.&quot;{{Sfn|Duveneck|1978|loc=Carl Jung, quoted in ''Life on Two Levels''|p=ii|ps=.{{Sfn|Jung|1961|ps=: &quot;The best of truths is of no use unless it has become one's most personal inner experience. It is the duty of everyone who takes a solitary path to share with society what he finds on his journey of discovery.&quot;}}}}&lt;/blockquote&gt;

&lt;blockquote&gt;&quot;Even the very wise cannot see all ends.&quot;{{Sfn|Tolkien|1954|loc=Gandalf}}&lt;/blockquote&gt;

No doubt this entire essay is too discursive, and mathematically educated writers reach their findings more directly. I have told my story this way, still in a less halting and circuitous manner than it came to me, because it is important to show how I came by my understanding of these objects, since I am not a mathematician. I have been a child building with blocks, and my only guides have been the wiser children who built with the blocks before me, and told me how they did it; that, and my own nearly physical experience building with them, in my imagination. I am at pains to show how that can be done, even by as mathematically illiterate a child as I am.

{{Regular convex 4-polytopes|columns=7|wiki=W:|radius={{radic|2}}|instance=2}}

{{Regular convex 4-polytopes|columns=7|wiki=W:|radius=1}}

== Acknowledgements ==

...

== Notes ==
{{Notelist}}

== Citations ==
{{Reflist}}

== References ==
{{Refbegin}}
* {{Cite web| url = https://www.youtube.com/watch?v=9sM44p385Ws| title = Vector Equilibrium | first = R. Buckminster | last = Fuller | author-link=W:Buckminster Fuller | year = 1975 | work= Everything I Know Sessions | place = Philadelphia}}
* {{Citation|last=Christie|first=David Brooks|author-link=User:Dc.samizdat|year=2024|title=Bucky Fuller and the languages of geometry|title-link=User:Dc.samizdat#Bucky Fuller and the languages of geometry|journal=Wikiversity|ref={{SfnRef|Christie: On Fuller's use of language|2024}}}}
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* {{Citation|author-last=Moxness|author-first=J.G.|year=2023|author-link=W:User:Jgmoxness|title=3D &amp; 4D Solids using Quaternion Weyl Orbits from Coxeter-Dynkin Geometric Group Theory|journal=PowerPoint|url=https://theoryofeverything.org/TOE/JGM/Quaternion%20Coxeter-Dynkin%20Geometric%20Group%20Theory-2b.pdf|ref={{SfnRef|Moxness: Quaternion graphics software|2023}}}}

=== 11-cell ===
* {{Citation | last=Grünbaum | first=Branko | author-link=W:Branko Grünbaum | year=1976 | title=Regularity of Graphs, Complexes and Designs | journal=Colloques Internationaux C.N.R.S. | publisher=Orsay | volume=260 | pages=191-197 | url=https://faculty.washington.edu/moishe/branko/BG111.Regularity%20of%20graphs,etc.pdf | ref=}}
* {{Citation | last=Grünbaum | first=Branko | author-link=W:Branko Grünbaum | year=1975 | title=Venn Diagrams and Independent Families of Sets | journal=Mathematics Magazine | volume=48 | issue=1 | url=https://maa.org/sites/default/files/pdf/upload_library/22/Ford/BrankoGrunbaum.pdf | doi=10.1080/0025570X.1975.11976431 }}
* {{Citation | last=Coxeter | first=H.S.M. | author-link=W:Harold Scott MacDonald Coxeter | year=1984 | title=A Symmetrical Arrangement of Eleven Hemi-Icosahedra | journal=Annals of Discrete Mathematics (20): Convexity and graph theory | series=North-Holland Mathematics Studies | publisher=North-Holland | volume=87 | pages=103-114 | doi=10.1016/S0304-0208(08)72814-7 | url=https://www.sciencedirect.com/science/article/pii/S0304020808728147
}}
*{{citation | last1 = Séquin | first1 = Carlo H. | author1-link = W:Carlo H. Séquin | last2 = Lanier | first2 = Jaron | author2-link = W:Jaron Lanier | title = Hyperseeing the Regular Hendacachoron | year = 2007 | journal = ISAMA | publisher=Texas A &amp; M | pp=159-166 | issue=May 2007 | url=https://people.eecs.berkeley.edu/~sequin/PAPERS/2007_ISAMA_11Cell.pdf | ref={{SfnRef|Séquin &amp; Lanier|2007}}}}
*{{citation | last1 = Séquin | first1 = Carlo H. | author1-link = W:Carlo H. Séquin | last2 = Hamlin | first2 = James F. | title = The Regular 4-dimensional 57-cell | doi = 10.1145/1278780.1278784 | location = New York, NY, USA | publisher = ACM | series = SIGGRAPH '07 | journal = ACM SIGGRAPH 2007 Sketches | year = 2007| s2cid = 37594016 | url = https://people.eecs.berkeley.edu/%7Esequin/PAPERS/2007_SIGGRAPH_57Cell.pdf | ref={{SfnRef|Séquin &amp; Hamlin|2007}}}}
*{{citation | last=Séquin | first=Carlo H. | author-link = W:Carlo H. Séquin | title=A 10-Dimensional Jewel | journal=Gathering for Gardner G4GX | place=Atlanta GA | year=2012 | url=https://people.eecs.berkeley.edu/%7Esequin/PAPERS/2012_G4GX_10D_jewel.pdf }}

=== [[Polyscheme|Polyschemes]] ===
{{Regular convex 4-polytopes Refs|wiki=W:}}
=== Illustrations ===
* {{Citation|title=Tensegrity icosahedron structure|title-link=Wikimedia:File:Tensegrity Icosahedron.png|journal=Wikimedia Commons|last1=Burkhardt|first1=Bob|year=1994}}
* {{Citation|author-last=Christie|author-first=David Brooks|year=2024|author-link=W:User:Dc.samizdat|title=Pentahemidemicube|title-link=Wikimedia:File:Pentahemidemicube.png|journal=Wikimedia Commons|ref={{SfnRef|Christie: Pentahemidemicube|2024}}}}
* {{Citation|author-last=Christie|author-first=David Brooks|year=2024|author-link=W:User:Dc.samizdat|title=Pentahemicosahedron|title-link=Wikimedia:File:Pentahemicosahedron.png|journal=Wikimedia Commons|ref={{SfnRef|Christie: Pentahemicosahedron|2024}}}}
* {{Citation|author=Cmglee|date=2019|author-link=W:User:Cmglee|title=Radially-symmetrical five-set Venn diagram devised by Branko Grünbaum|title-link=Wikimedia:File:Symmetrical 5-set Venn diagram.svg|journal=Wikimedia Commons|ref={{SfnRef|Cmglee: Grunbaum's 5-point Venn Diagram|2019|ps=; each individual element of the 5-cell is labelled.}}}}
* {{Citation|author-last=Cyp|year=2005|author-link=W:User:Cyp|title=Truncated tetrahedron, transparent, slowly turning, created with POV-ray|title-link=Wikimedia:File:Truncatedtetrahedron.gif|journal=Wikimedia Commons|ref={{SfnRef|Cyp: Truncated tetrahedron|2005}}}}
* {{Cite book|last=Duveneck|first=Josephine Whitney|title=Life on Two Levels: An Autobiography|year=1978|publisher=William Kaufman|place=Los Altos, CA|ref={{SfnRef|Duveneck|1978}}}}
* {{Citation|author-last=Hise|author-first=Jason|year=2011|author-link=W:User:JasonHise|title=A 3D projection of a 120-cell performing a simple rotation|title-link=Wikimedia:File:120-cell.gif|journal=Wikimedia Commons}}
* {{Cite book|last=Huxley|first=Aldous|author-link=W:Aldous Huxley|title=Ends and Means: An inquiry into the nature of ideals and into the methods employed for their realization|date=1937|publisher=Harper and Brothers|ref={{SfnRef|Huxley|1937}}}}
* {{Cite book|last=Jung|first=Carl Gustav|author-link=W:Carl Jung|title=Psychological Reflections: An Anthology of the Writings of C. G. Jung|date=1961|page=XVII|ref={{SfnRef|Jung|1961}}}}
* {{Citation|author-last=Piesk|author-first=Tilman|date=2018|author-link=W:User:Watchduck|title=Nonuniform rhombicosidodecahedron as rectified rhombic triacontahedron max|title-link=Wikimedia:File:Nonuniform rhombicosidodecahedron as rectified rhombic triacontahedron max.png|journal=Wikimedia Commons|ref={{SfnRef|Piesk: Rhombicosidodecahedron|2018}}}}
* {{Citation|author-last=Piesk|author-first=Tilman|date=2018|author-link=W:User:Watchduck|title=Polyhedron truncated 20 from yellow max|title-link=Wikimedia:File:Polyhedron truncated 20 from yellow max.png|journal=Wikimedia Commons|ref={{SfnRef|Piesk: Truncated icosahedron|2018}}}}
* {{Citation|author-last=Ruen|author-first=Tom|year=2007|author-link=W:User:Tomruen|title=Hemi-icosahedron|title-link=Wikimedia:File:Hemi-icosahedron.png|journal=Wikimedia Commons|ref={{SfnRef|Ruen: Hemi-icosahedron|2007}}}}
* {{Citation|title=Great grand stellated 120-cell|title-link=Wikimedia:File:Ortho solid 016-uniform polychoron p33-t0.png|journal=Wikimedia Commons|last1=Ruen|first1=Tom|year=2007|author-link=W:User:Tomruen|ref={{SfnRef|Ruen: Great grand stellated 120-cell|2007}}}}
* {{Citation|author-last=Ruen|author-first=Tom|year=2019|author-link=W:User:Tomruen|title=Tetrahemihexahedron rotation|title-link=Wikimedia:File:Tetrahemihexahedron rotation.gif|journal=Wikimedia Commons|ref={{SfnRef|Ruen: Tetrahemihexahedron rotation|2019}}}}
* {{Citation|title=Net of the bitruncated 5-cell|title-link=Wikimedia:File:Bitruncated 5-cell net.png|journal=Wikimedia Commons|last1=Ruen|first1=Tom|year=2007|author-link=W:User:Tomruen|ref={{SfnRef|Ruen: Net of the bitruncated 5-cell|2007}}}}
* {{Citation|title=5-cell|title-link=5-cell|journal=Polyscheme|publisher=Wikiversity|editor-last1=Ruen|editor-first1=Tom|editor-link1=W:User:Tomruen|editor-last2=Christie|editor-first2=David Brooks|editor-link2=W:User:Dc.samizdat|year=2024|ref={{SfnRef|Ruen et al. eds. 5-cell|2024}}}}
* {{Citation|title=16-cell|title-link=16-cell|journal=Polyscheme|publisher=Wikiversity|editor-last1=Ruen|editor-first1=Tom|editor-link1=W:User:Tomruen|editor-last2=Christie|editor-first2=David Brooks|editor-link2=W:User:Dc.samizdat|year=2024|ref={{SfnRef|Ruen et al. eds. 16-cell|2024}}}}
* {{Citation|title=24-cell|title-link=24-cell|journal=Polyscheme|publisher=Wikiversity|editor-last1=Ruen|editor-first1=Tom|editor-link1=W:User:Tomruen|editor-last2=Goucher|editor-first2=A.P.|editor-link2=W:User:Cloudswrest|editor-last3=Christie|editor-first3=David Brooks|editor-link3=W:User:Dc.samizdat|year=2024|ref={{SfnRef|Ruen &amp; Goucher et al. eds. 24-cell|2024}}}}
* {{Citation|title=600-cell|title-link=600-cell|journal=Polyscheme|publisher=Wikiversity|editor-last1=Ruen|editor-first1=Tom|editor-link1=W:User:Tomruen|editor-last2=Goucher|editor-first2=A.P.|editor-link2=W:User:Cloudswrest|editor-last3=Christie|editor-first3=David Brooks|editor-link3=W:User:Dc.samizdat|editor-last4=Moxness|editor-first4=J. Gregory|editor-link4=W:User:Jgmoxness|year=2024|ref={{SfnRef|Ruen &amp; Goucher et al. eds. 600-cell|2024}}}}
* {{Citation|title=120-cell|title-link=120-cell|journal=Polyscheme|publisher=Wikiversity|editor-last1=Ruen|editor-first1=Tom|editor-link1=W:User:Tomruen|editor-last2=Goucher|editor-first2=A.P.|editor-link2=W:User:Cloudswrest|editor-last3=Christie|editor-first3=David Brooks|editor-link3=W:User:Dc.samizdat|editor-last4=Moxness|editor-first4=J. Gregory|editor-link4=W:User:Jgmoxness|year=2024|ref={{SfnRef|Ruen &amp; Goucher et al. eds. 120-cell|2024}}}}
* {{Cite book|last=Sandperl|first=Ira|author-link=W:Ira Sandperl|title=A Little Kinder|year=1974|publisher=Science and Behavior Books|place=Palo Alto, CA|isbn=0-8314-0035-8|lccn=73-93870|url=https://www.allinoneboat.org/a-little-kinder-an-old-friend-moves-on/|ref={{SfnRef|Sandperl|1974}}}}
* {{Cite book|last=Tolkien|first=J.R.R.|title=The Lord of the Rings|orig-date=1954|volume=The Fellowship of the Ring|chapter=The Shadow of the Past|page=69|edition=2nd|date=1967|publisher=Houghton Mifflin|place=Boston|author-link=W:J.R.R.Tolkien|title-link=W:The Lord of the Rings|ref={{SfnRef|Tolkien|1954}}}}

{{Refend}}</text>
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      <text bytes="144115" sha1="qutq37m0otmrgd0yo9t5yzpwrhkkt04" xml:space="preserve">{{align|center|David Brooks Christie}}
{{align|center|dc@samizdat.org}}
{{align|center|Draft in progress}}
{{align|center|March 2024 - January 2026}}

&lt;blockquote&gt;[[W:Branko Grünbaum|Grünbaum]] and [[W:H.S.M. Coxeter|Coxeter]] independently discovered the [[W:11-cell|11-cell]] &lt;sub&gt;5&lt;/sub&gt;{3,5,3}&lt;sub&gt;5&lt;/sub&gt;, a regular 4-polytope with cells that are the [[W:hemi-icosahedron|hemi-icosahedron]] {3,5}&lt;sub&gt;5&lt;/sub&gt;, a hexad non-orientable polyhedron. The 11-cell is described as an abstract 4-polytope, because its cells do not have a direct realization in Euclidean 3-space. However, we find that the 11-cell has a realization in Euclidean 4-space inscribed in the [[120-cell|120-cell]], the largest regular convex 4-polytope, which contains inscribed instances of all the convex regular 4-polytopes. The 11-cell contains 11 hemi-icosahedra and 11 regular 5-cells. The 120-cell contains 120 dodecahedra and 120 regular 5-cells. We find that the 120-cell also contains: a non-uniform icosahedral polyhedron that contains the realization of the abstract hemi-icosahedron; real 11-point 11-cells made from 11 of it; and a compound of eleven real 11-cells. We also find a quasi-regular compound of the compound of eleven 11-cells and [[w:Schoute|Schoute]]'s compound of five 24-cells (the 600-cell). We describe the real 11-point 11-cell 4-polytope; its compound of eleven 11-cells; the quasi-regular compound; and their relation to the regular polytopes.&lt;/blockquote&gt;

== Introduction ==
[[W:Branko Grünbaum|Branko Grünbaum]] discovered the 11-cell around 1970,{{Sfn|Grünbaum|1976|loc=''Regularity of Graphs, Complexes and Designs''}} about a decade before [[W:H.S.M. Coxeter|H.S.M. Coxeter]] extracted hemi-icosahedral hexads from the permutations of eleven numbers, with observations on the perfection of Todd's cyclic pentads and other symmetries he had been studying.{{Sfn|Coxeter|1984|loc=''A Symmetrical Arrangement of Eleven Hemi-Icosahedra''}} Grünbaum started with the hexad, and the impetus for his discovery of the 11-cell was simply the impulse to build with them. Like a child building with blocks, he fit them together, three around each edge, until the arrangement closed up into a 3-sphere and surprise, ''eleven'' of them.

[[File:120-cell.gif|thumb|360px|The picture on the cover of the box of 4-dimensional building blocks.{{Sfn|Hise|2011|loc=File:120-cell.gif|ps=; &quot;Created by Jason Hise with Maya and Macromedia Fireworks. A 3D projection of a 120-cell performing a [[W:SO(4)#Geometry of 4D rotations|simple rotation]].&quot;}} Only the 120-cell's own edges are shown. The complex interior parts of the 120-cell, all its inscribed 600-cells, 24-cells, 8-cells, 16-cells, 5-cells and 11-cells, are completely invisible in this view, as none of their edges are rendered at all. The child must imagine them.]]
The 4-dimensional regular polytopes are the most wonderful set of child's building blocks. The simplest two 4-polytopes are the 5-point 4-[[W:Simplex|simplex]] (called the [[5-cell]], because it is built from 5 tetrahedra), and the 8-point 4-[[W:Orthoplex|orthoplex]] (called the [[16-cell]], because it is built from 16 tetrahedra). As building blocks they could not be more different. The 16-cell is the basic building block of everything 4-dimensional. Every other regular convex 4-polytope (''except'' the 5-cell) can be built as a compound of 16-cells, including first of all the [[w:Tesseract|16-point (8-cell) tesseract]], the 4-hypercube, which is a compound of two 16-cells in [[W:Demihypercube|exact dimensional analogy]] to the way a cube is a compound of two tetrahedra. The regular 5-cell, on the other hand, is not found within any of the other regular convex 4-polytopes, except in the largest and most complex one, the 600-point [[120-cell|120-cell]], the biggest thing you can build from this set of building blocks (the picture on the cover of the box, which is built from everything in the box). The 5-cell has a fundamental relationship to all the other 4-polytopes, but not one as simple as compounding, so it is not immediately useful to children trying to learn to build with 4-dimensional building blocks. But the 16-cell is our very starting point, and the most frequently used tool in the box.

Nevertheless, to build the 11-cell, we start with the 5-cell. The 5-cell and 11-cell are both self-reciprocal (their own duals). They are the only 4-polytopes where every cell shares a face with every other cell. The 5-cell is a tetrahedron surrounded by 4 other tetrahedra, in five different ways. The 11-cell is a hemi-icosahedron surrounded by 10 other hemi-icosahedra, in eleven different ways. The 5-cell has 5 vertices that form 5 tetrahedral cells, and a total of 10 triangular faces and 10 edges. The 11-cell has 11 vertices that form 11 hemi-icosahedral cells, each with 6 verticies 10 triangular faces and 15 edges, and a total of 55 triangular faces and 55 edges.

== 5-cells and hemi-icosahedra in the 11-cell ==
[[File:Symmetrical_5-set_Venn_diagram.svg|thumb|The 5-point (10-face) regular 5-cell (the regular 4-simplex). Grünbaum's rotationally symmetrical 5-set Venn diagram{{Sfn|Grünbaum|1975|loc=''Rotationally symmetrical 5-set Venn diagram'', Fig 1 (e)|ps=; partitions the individual elements of the 5-cell.}} is an illustration of the 5-cell labeling each of its &lt;math&gt;2^5&lt;/math&gt; elements.{{Sfn|Cmglee: Grunbaum's 5-point Venn Diagram|2019|ps=; each individual element of the 5-cell is labelled; image includes the Python code to render it, optimising for maximum area of the smallest regions.}}]]
[[File:Hemi-icosahedron.png|thumb|The 6-point (10 face) [[W:hemi-icosahedron|hemi-icosahedron]], an abstraction of the regular icosahedron, has half as many faces, edges and vertices. Each element of the abstract polyhedron represents two or more real elements found in different places in a concrete realization of the 11-cell.{{Sfn|Ruen: Hemi-icosahedron|2007}}]]
The most apparent relationship between the pentad 5-cell and the hexad hemi-icosahedron is that they both have 10 triangular faces. When we find a facet congruence between a 4-polytope and a 3-polytope we suspect a dimensional analogy. In the exceptional case of 5-cell and icosahedron, which share the same symmetry group &lt;math&gt;A_5&lt;/math&gt;, we fully expect a dimensional analogy.{{Efn|There is an exceptional inter-dimensional duality between the regular icosahedron and the 5-cell because they share &lt;math&gt;A_5&lt;/math&gt; symmetry. See this question asked on [https://math.stackexchange.com/questions/4235783/the-rotational-symmetry-groups-of-the-5-cell-and-the-icosahedron-are-isomorphi math.stackexchange.com 2021].}} Another clue that the hemi-icosahedron has something to do with dimensional analogy comes from its realization as the 6-point 5-simplex. Yet another real hexad is the 6-point 3-orthoplex; thus the hemi-icosahedron is related by dimensional analogy to the 4-simplex (5-cell) from above, and to the 4-orthoplex (16-cell) from below, while those two simplest 4-polytope building blocks are only related to each other indirectly by dimensional analogies, having no chord congruences in 4-space. The cell of the 11-cell has only been at the party 5 minutes, and it is already inter-dimensionally ''involved'' with the two earliest arrivals, the 4-simplex (5-cell) and 4-orthoplex (16-cell), who are famously stand-offish with each other. Interesting!

The cell of the 11-cell is an abstract hexad hemi-icosahedron with 5 central planes, most handsomely illustrated by Séquin.{{Sfn|Séquin|2012|loc=A 10-Dimensional Jewel}}{{Sfn|Séquin &amp; Lanier|2007|p=3|loc=Figure 4: (b,c) two views of the hemi-icosahedron projected into 3D space|ps=; Séquin et. al. have a lovely colored illustration of the hemi-icosahedron, subdivided into 10 triangular faces by 5 central planes of its icosahedral symmetry, revealing rings of polytopes nestled in its interior. Their illustration cannot be directly included here, because it has not been uploaded to [[W:Wikimedia Commons|Wikimedia Commons]] under an open-source copyright license, but you can view it online by clicking through this citation to their paper, which is available on the web.}}{{Sfn|Séquin &amp; Hamlin|2007|loc=Figure 2. 57-Cell: (a) vertex figure|ps=; The 6-point [[W:Hemi-isosahedron|hemi-isosahedron]] is the vertex figure of the 11-cell's dual 4-polytope the 57-point [[W:57-cell|57-cell]].}} The 11 hemi-icosahedral cells have 10 triangle faces each, and each cell is face-bonded to the other 10 cells. The 5-cell's 5 tetrahedral cells have 10 faces and 10 edges altogether, and each cell is face-bonded to the other 4 cells. If 11-cell faces correspond to 5-cell faces, then 3 of each 5-cell's 5 vertices are a hemi-icosahedron face, and its other 2 vertices must be some 11-cell edge lying opposite the face. Coxeter determined that the 11-cell does indeed have an edge opposite each face, that does not belong to the same hemi-icosahedral cell as its opposing face. He found that the 10 edges opposite each hemi-icosahedron's 10 faces are the 10 edges of a single 5-cell, which does not share any vertices, edges or faces with the hemi-icosahedron. For each cell of the 11-point 11-cell, there is exactly one 5-point 5-cell that is completely disjoint from the 6-point hemi-icosahedron cell.{{Sfn|Coxeter|1984|p=110|loc=§6. The Petrie polygon [of the 11-cell]|ps=; &quot;We may reasonably call this edge and face ''opposites''. It is easy to find the face opposite to a given edge by looking at the faces to which a given edge belongs. ... Conversely, given a face, we can find the opposite edge by seeing which vertices belong to neither of the hemi-icosahedra which share that face. The ten edges opposite to the ten faces of one hemi-icosahedron are the edges of the complementary &lt;math&gt;a_4&lt;/math&gt; [4-simplex], that is, the joins of all pairs of the five vertices [of the 11-cell] not belonging to the given hemi-icosahedron.&quot;}}

There are 11 disjoint 5-cell 4-polytopes inscribed in each 11-cell, which also contains 11 hemi-icosahedral cells, 55 faces, 55 edges and 11 vertices. The real 11-cell is more complex than the abstract 11-cell representing it, because the real hemi-icosahedron is more complex and harder to find than the abstract hemi-icosahedron. Seeing the real 11-cell will be easier once we have identified the real hemi-icosahedron, and seen exactly where the 11-cell's real elements reside in the other 4-polytopes within the 120-cell with which the 11-cell intermingles.

The 5-cell has 10 faces, and the 11-cell has 10 faces in each of its hemi-icosahedral cells, but that is not how their faces correspond. Each hemi-icosahedron is face-bonded to the other 10 hemi-icosahedra, and to 10 of the 11 5-cells, and there is exactly one 5-cell with which it does not share a face.{{Efn|As Coxeter observes (in the previous citation), that unrepresented 5-point 5-cell is the other 5 vertices of the 11-point 11-cell that are not vertices of this 6-point hemi-icosahedron: the hemi-icosahedron's disjoint complement.}} Each 5-cell has 10 faces which belong to 10 distinct hemi-icosahedra of the 11-cell, and there is just one hemi-icosahedron with which it does not share a face.

In the abstract 11-cell each face represents two conflated icosahedron faces, two actual faces in different places, so the 11-cell's 55 faces represent 110 actual faces: the faces of 11 completely disjoint 5-cells. Each hemi-icosahedron vertex represents conflated icosahedral vertices: multiple actual vertices separated by a small distance which has been reduced to a point at the coarse scale of the abstraction.{{Efn|We shall see that this small eliminated distance is in fact the length of a 120-cell edge, the shortest chordal distance found in the 120-cell.}} Seemingly adjacent hemi-icosahedron faces do not actually meet at an edge; there is a polygon separating them, which has been abstracted to an edge. The 10 hemi-icosahedron faces are 5-cell faces from 10 distinct 5-cells, and they do not actually touch each other: the 120 5-cells in the 120-cell are completely disjoint.

In the 5-cell each face bonds two tetrahedral cells together, and in the 11-cell each face bonds two pairs of tetrahedral cells together, because each 11-cell face represents two actual 5-cell faces in different places. Each duplex 11-cell face bonds tetrahedra in two 5-cells in different places, without binding the 5-cells together (they are completely disjoint). One actual 5-cell face is one half of a duplex 11-cell face, so 110 5-cell faces are 55 duplex 11-cell faces. The 11-cell's 11 abstract vertices represent all 55 distinct vertices of the 11 disjoint 5-cells, so they must be abstract conflations of at least 5 vertices. Therefore for any of this to be possible, the 11-cell must not be alone; 11-cells must be sharing vertices, not disjoint as the 5-cells are.

== The real hemi-icosahedron ==

[[File:120-Cell showing the individual 8 concentric hulls and in combination.svg|thumb|400px|right|
Orthogonal projections of the 120-cell by Moxness{{Sfn|Moxness: 8 concentric hulls|2022|loc=Hull #8 (lower right)|ps=; &quot;Orthogonal projection of the 120-cell using any 3 of these Cartesian coordinate dimensions forms an outer hull of a Chamfered dodecahedron of Norm=√8. Hulls 1, 2, &amp; 7 are each overlapping pairs of Dodecahedrons. Hull 3 is a pair of Icosidodecahedrons. Hulls 4 &amp; 5 are each pairs of Truncated icosahedrons. Hulls 6 &amp; 8 are Rhombicosidodecahedrons.&quot;}} using 3 of its 4 Cartesian coordinate dimensions to render 8 polyhedral hulls which are 3D sections through distinct hyperplanes starting with a dodecahedron cell. Hull #8 with 60 vertices (lower right) is a central section of the 120-cell, the 8th and largest section starting with a cell.{{Efn|1=Although the 8 hulls are illustrated as the same size, in the 120-cell they have increasing size as numbered, and occur nested inside each other like Russian dolls. Only Hull #8 is a central section of the same radius as the 120-cell itself, analogous to the equator. Sections 1-7 occur in pairs on opposite sides of the central section, and are analogous to lines of latitude. Section 1 is simply a dodecahedral cell. The &quot;Combined hulls&quot; is for illustrative purposes only; no such compound polyhedron exists in the 120-cell.}}]]
We shall see in subsequent sections that the 11-cell is not in fact alone, but first let us see if we can find an existing illustration of the realization of the abstract hemi-icosahedron, as an actual polyhedron that occurs in the 120-cell. Moxness developed software which uses Hamilton's [[w:Quaternion|quaternion]]s to render the polyhedra which are found in the interior of ''n''-dimensional polytopes.{{Sfn|Moxness: Quaternion graphics software|2023|ps= ; describes the theory and implementation of quaternion-based polytope graphics software.}} [[w:William_Rowan_Hamilton|Hamilton]] was the first wise child to discover a 4-dimensional building block, [[w:History_of_quaternions#Hamilton's_discovery|in his flash of genius on Broom bridge]] in 1843, though he didn't think of his quaternion formula {{math|1=''i''&lt;sup&gt;2&lt;/sup&gt; = ''j''&lt;sup&gt;2&lt;/sup&gt; = ''k''&lt;sup&gt;2&lt;/sup&gt; = ''ijk'' = −1}} as the [[W:Tesseract|16-point (8-cell) tesseract]] 4-polytope. He did not realize then that he had discovered the 4-hypercube polytope and [[W:Tesseractic honeycomb|its Euclidean honeycomb]], the tetrad (w, x, y, z) Cartesian [[w:Euclidean_geometry#19th_century|coordinates of Euclidean 4-space]]. Moxness built his software out of Hamilton's quaternions, as quite a lot of graphics software is built, because [[w:Quaternions_and_spatial_rotation|quaternions make rotations]] and projections in 3D or 4D space as simple as matrix multiplications.{{Sfn|Mebius|1994|p=1|loc=&quot;''[[W:Quaternion algebra|Quaternion algebra]]'' is the tool ''par excellence'' for the treatment of three- and four- dimensional (3D and 4D) rotations. Obviously only 3D and by implication 2D rotations have an everyday practical meaning, but the [[W:Rotations in 4-dimensional Euclidean space|theory of 4D rotations]] turns out to offer the easiest road to the representation of 3D rotations by quaternions.&quot;}} The quaternions are 4-hypercube building blocks, analogous to the 3-hypercube wooden blocks everyone built with as a child (only they fit together even better, because they are [[w:8-cell#Radial_equilateral_symmetry|radially equilateral]] like the cuboctahedron and the [[24-cell]], but we digress). Moxness used his software to render illustrations of the polyhedra inside the 120-cell, which he published. Notice his &quot;Hull # = 8 with 60 vertices&quot;, lower right. It is a real icosahedron that the abstract hemi-icosahedron represents, as it occurs in the 120-cell. Moxness's 60-point Hull #8 is a concrete realization of the 6-point hemi-icosahedron in spherical 3-space &lt;math&gt;S^3&lt;/math&gt;, embedded in Euclidean 4-space &lt;math&gt;\mathbb{R}^4&lt;/math&gt;. Its 12 little pentagon faces are 120-cell faces. It also has 20 triangle faces like any icosahedron, separated from each other by rectangles, but beware: those triangles are not the 5-cell faces. They are smaller equilateral triangles, of edge length &lt;math&gt;1&lt;/math&gt; in a {{radic|2}}-radius 120-cell, where the 5-cell face triangles have edge length {{radic|5}}.{{Efn|The 41.4° chord of edge length 1 in a {{radic|2}}-radius 120-cell occurs only in the 120-cell; it is not the edge of any smaller regular 4-polytope inscribed in the 120-cell. The equilateral triangle faces of Moxness's Hull #8 rhombicosidodecahedron are not the 5-cell faces of edge length &lt;small&gt;&lt;math&gt;\sqrt{5} \approx 2.236&lt;/math&gt; &lt;/small&gt;(104.5°), not the 16-cell faces of edge length &lt;small&gt;&lt;math&gt;2&lt;/math&gt;&lt;/small&gt; (90°), not the 24-cell faces of edge length &lt;small&gt;&lt;math&gt;\sqrt{2} \approx 1.414&lt;/math&gt;&lt;/small&gt; (60°), and not the 600-cell faces of edge length &lt;small&gt;&lt;math&gt;\sqrt{2}/\phi \approx 0.874&lt;/math&gt;&lt;/small&gt; (36°).|name=Moxness 60-point triangle faces}}

[[File:Irregular great hexagons of the 120-cell radius √2.png|thumb|Every 6 edges of the 120-cell that lie on a great circle join with 5-cell edges to form two opposing irregular great hexagons (truncated triangles). The 120-cell contains 1200 of its own edges and 1200 5-cell edges, in 200 irregular {12} dodecagon central planes. The 5-cell ''faces'' do not lie in central planes.]]
Edges of the larger 5-cell face triangles of length {{radic|5}} can also be found in Hull #8, but they are invisible chords below the surface of Moxness's 60-point polyhedron. To see them, notice that six 120-cell edges (little pentagon edges) lie on a great circle, alternating with six rectangle diagonals. Also lying on this irregular {12} great circle are six 5-cell edges, invisible chords joining every other 120-cell edge and  running under the 120-cell edge between them. The six long chords and six short edges form two opposing irregular {6} great hexagons (truncated triangles) of alternating 5-cell edges and 120-cell edges, as illustrated. The irregular great {12} lies on a great circle of Moxness's Hull #8, and also on a great circle of the 120-cell, because Hull #8 is the ''central'' cell-first section of the 120-cell.{{Efn|The cell-first central section of the 600-cell (and of the 24-cell) is a cuboctahedron with 24-cell edges. The 120-cell is the regular compound of 5 600-cells (and of 25 24-cells), so Moxness's Hull #8, as the cell-first central section of the 120-cell, is the regular compound of 5 cuboctahedra. Their 24-cell edges, like the 5-cell edges, are invisible chords of Hull #8 that lie below its surface, on the same irregular {12} great circles. Each 24-cell edge chord spans one 120-cell edge chord (one little pentagon edge) and one rectangle face diagonal chord. Six 24-cell edge chords form a regular great {6} hexagon, inscribed in the irregular great {12} dodecagon.|name=compound of 5 cuboctahedra}} There are 10 great dodecagon central planes and 60 5-cell edges in Moxness's Hull #8, and 200 great dodecagon central planes and 1200 5-cell edges in the 120-cell. 

[[File:Central cell-first section of the 120-cell with 5-cell face triangle.png|thumb|Orthogonal projection of the cell-first central section of the 120-cell, Hull #8 rendered by Moxness, with one of 20 inscribed 5-cell faces (black chords) drawn under portions of three of its ten great circle {12} dodecagons (green).{{Efn|The point of view in this rendering is not quite right to best illustrate that a rhombicosidodecahedron triangle face lies over the center of a 5-cell face parallel to it, such that it would be perfectly inscribed in the center of the larger black triangle in an orthogonal view.}}]]
But the 5-cell ''faces'' do not lie in those central planes. We can locate them in the 60-point polyhedron where they lie parallel to and under each small face triangle of edge length &lt;math&gt;1&lt;/math&gt;. Truncating at a triangle face of Moxness's Hull #8 exposes a deeper 5-cell triangle face.{{Efn|Each face triangle of edge length &lt;math&gt;1&lt;/math&gt; is surrounded by 3 rectangles, and beyond each rectangle by another face triangle. The distant vertices of those 3 surrounding triangles form a {{radic|5}} triangle, a 5-cell face.}} There are 20 such 5-cell faces inscribed in the Hull #8 polyhedron, all completely disjoint. We find 60 vertices, 60 edges and 20 faces of various 5-cells in each Hull #8 polyhedron, but no whole tetrahedral cells of the 5-cells.{{Efn|The fourth vertex of each 5-cell tetrahedron lies opposite the small face triangle of edge length &lt;math&gt;1&lt;/math&gt; that lies over the 5-cell face. Since Moxness's Hull #8 polyhedron has opposing triangle faces (like any icosahedron), the fourth vertex of the 5-cell tetrahedron lies over the center of the opposing face, outside the Hull #8 polyhedron. This is a vertex of some other Hull #8 polyhedron in the 120-cell. Each tetrahedral cell of a 5-cell spans four Hull #8 polyhedra, with one face inscribed in each, and one vertex outside of each.}}

[[File:Nonuniform_rhombicosidodecahedron_as_rectified_rhombic_triacontahedron_max.png|thumb|Moxness's 60-point Hull #8 is a nonuniform [[W:Rhombicosidodecahedron|rhombicosidodecahedron]] similar to the one from the catalog shown here,{{Sfn|Piesk: Rhombicosidodecahedron|2018}} but a slightly shallower truncation of the icosahedron with smaller red pentagons and narrower rhombs. Rhombicosidodecahedra are also made by truncating the [[W:Rhombic triacontahedron|rhombic triacontahedron]], which is the unique 30-sided polyhedron with only one kind of face, the dual of the 30-point icosidodecahedron. The 120-cell contains 60 of Moxness's Hull #8 rhombicosidodecahedron. Each occupies a central hyperplane, and so is analogous to an equator dividing the sphere in half.]]
Moxness's Hull #8 is a nonuniform form of an Archimedean solid, the 60-point [[W:Rhombicosidodecahedron|rhombicosidodecahedron]] from [[W:Johannes Kepler|Kepler's]] 1619 [[W:Harmonices Mundi|''Harmonices Mundi'']], which has the same 120 edges, 20 triangular faces and 12 pentagon faces, but with 30 squares between them instead of 30 rectangles. Without the squares ''or'' the rectangles it would be the 30-point [[W:icosidodecahedron|icosidodecahedron]], which has the same relationship to Moxness's Hull #8 that the 6-point hemi-icosahedron does: they are both abstractions of it by conflation of its 60 points, 2-into-1 (icosidodecahedron) and 10-into-1 (hemi-icosahedron), in what [[w:Alicia_Boole_Stott|Alicia Boole Stott]] named a ''contraction'' operation.{{Efn|The regular 5-point 5-cell can be another abstraction of Moxness's 60-point Hull #8, 12-vertices-into-1. None of these contractions of Moxness's Hull #8 is an instance of her operation actually described by Boole Stott, since she did not apply her expansion and contraction operations to uniform polytopes with more than one edge length, but she did explicitly describe contractions of the semi-regular Archimedean rhomibicosidodecahedron.}} Moxness was not the first person to find rhombicosidodecahedra in the 120-cell. Alicia Boole Stott identified the 6th section of the 120-cell beginning with a cell as the semi-regular rhombicosidodecahedron that is her ''e&lt;sub&gt;2&lt;/sub&gt; expansion'' of the icosahedron (or equivalently of its dual polyhedron the dodecahedron).{{Sfn|Boole Stott|1910|loc=§Examples of the e&lt;sub&gt;2&lt;/sub&gt; expansion|p=7}} But that 6th section rhombicosidodecahedron identified by Boole Stott is not Moxness's Hull #8, it is the semi-regular Archimedean solid (Moxness's Hull #6), with a single edge length and square faces. Moxness's Hull #8, with its two distinct edge lengths and rectangular faces, is Coxeter's 8&lt;sub&gt;3&lt;/sub&gt;, the 8th section of {5,3,3} beginning with a cell, which is missing from the sections illustrated by Boole Stott.{{Sfn|Coxeter|1973|p=258-259|loc=§13.9 Sections and Projections: Historical remarks|ps=; &quot;Alicia Boole Stott (1860-1940) ... also constructed the sections i&lt;sub&gt;3&lt;/sub&gt; of {5, 3, 3}, exhibiting the nets in her Plate V. “Diagrams VIII-XIV” refer to the sections 1&lt;sub&gt;3&lt;/sub&gt;-7&lt;sub&gt;3&lt;/sub&gt;; but 8&lt;sub&gt;3&lt;/sub&gt; is missing. Incidentally, Diagram XIII (our 6&lt;sub&gt;3&lt;/sub&gt;) is a rhombicosidodecahedron, the Archimedean solid.&quot;}} Coxeter found the central section 8&lt;sub&gt;3&lt;/sub&gt; first, and gave its coordinates, but he did not identify it as an irregular rhombicosidodecahedron. His table entry for its description is empty (characteristically since it is not a regular or semi-regular polyhedron), so he gives us no indication that he actually visualized it. Although Moxness was not the first to compute the 60-point 8&lt;sub&gt;3&lt;/sub&gt; section, he may have been the first person to ''see'' it.

The 30-point icosidodecahedron is the quasi-regular product of 5-point pentagon and 6-point hexagon, recalling Coxeter's original discovery of the 11-cell in pentads and hexads, and also the two child's building blocks: one so useless the 5-point (pentad) 5-cell, and the other so useful the 8-point 16-cell with its four orthogonal 6-point (hexad) octahedron central sections, which can be compounded into everything larger. Some children building with the 30-point icosidodecahedron notice that it occurs as the central section 4&lt;sub&gt;0&lt;/sub&gt; of the 120-point 600-cell. It is less often noticed that Moxness's Hull #8 rhombicosidodecahedron is the central section 8&lt;sub&gt;3&lt;/sub&gt; of the 600-point 120-cell. It occupies a flat 3-dimensional hyperplane that bisects the 120-cell, and since there are 120 dodecahedral cells, there are 60 such central hyperplanes, each perpendicular to an axis that connects the centers of two antipodal cells.

The 60 central hyperplanes, each containing an instance of Moxness's Hull #8, are rotated with respect to each other. They intersect, with 6 rhombicosidodecahedra sharing each vertex and 3 sharing each edge, but each little pentagon face (120-cell face) belongs to just one rhombicosidodecahedron. The 60 central sections lie in isoclinic hyperplanes, that is, the rhombicosidodecahedra are rotated symmetrically with respect to each other, by two equal angles.{{Sfn|Kim|Rote|2016|p=7|loc=§6 Angles between two Planes in 4-Space|ps=; &quot;In four (and higher) dimensions, we need two angles to fix the relative position between two planes. (More generally, ''k'' angles are defined between ''k''-dimensional subspaces.)&quot;}} Each pair of rhombicosidodecahedra intersect in a central plane containing an irregular {12} dodecagon, unless they are completely orthogonal and intersect only at the center of the 4-polytope.

Each of the 120 dodecahedral cells lies in the closed, curved 3-dimensional space of the 3-sphere as the 1st and smallest section beginning with a cell (section 1&lt;sub&gt;3&lt;/sub&gt;), the innermost of a series of concentric polyhedral hulls of increasing size, which nest like Russian dolls around it. Moxness's Hull #8 rhombicosidodecahedron is the 8th and largest concentric hull beginning with a cell (section 8&lt;sub&gt;3&lt;/sub&gt;), a central section of the 120-cell that bisects the 3-sphere the way an equator bisects an ordinary sphere.{{Efn|The 120-cell's curved 3-space surface is a honeycomb of 120 dodecahedron cells. In this 3-space a dodecahedron cell lies inside at the center of each section 8&lt;sub&gt;3&lt;/sub&gt; rhombicosidodecahedron, face-bonded to 12 other dodecahedron cells which surround it, also inside the rhombicosidodecahedron. We find the opposite pentagon faces of those 12 surrounding cells on the surface of the section 8&lt;sub&gt;3&lt;/sub&gt; rhombicosidodecahedron. These twelve dodecahedra surrounding one dodecahedron partially fill the volume of the rhombicosidodecahedron, leaving 30 concavities in its surface at the rectangle faces, and 12 deeper concavities between them at the triangle faces. 30 more dodecahedra fit into the rectangle concavities, lying half inside and half outside the rhombicosidodecahedron. The diagonal of each rectangle face is a long diameter of a dodecahedron cell. 12 more dodecahedra fit into the triangle face concavities, lying ....|name=dodecahedral cells in the section 8 rhombicosidodecahedron}} Such a central polyhedron is the dimensional analog of an equatorial great circle polygon. Its 60 vertices lie in the same 3-dimensional hyperplane, a flat 3-dimensional section sliced through the center of the 120-cell. There are 60 distinct stacks of 15 parallel section ''n''&lt;sub&gt;3&lt;/sub&gt; hyperplanes in the 120-cell, one stack spindled on each axis that connects a dodecahedron cell-center to its antipodal dodecahedron cell-center. Each central section 8&lt;sub&gt;3&lt;/sub&gt; has ''two'' disjoint sets of smaller sections nested within it, that lie in opposite directions from the 120-cell's center along its 4th dimension axis. The largest-radius central slice lies in the center of the stack, and the smaller non-central section hyperplanes occur in parallel pairs on either side of the central slice. The 120-cell therefore contains 120 instances of each kind of non-central section 1&lt;sub&gt;3&lt;/sub&gt; through 7&lt;sub&gt;3&lt;/sub&gt;, and 60 instances of the central section 8&lt;sub&gt;3&lt;/sub&gt;.{{Efn|A central section is concave on its inside and also on its outside: it has two insides. It may be helpful to imagine the central 60-point section as two mirror-image 60-point polyhedra whose points are coincident, but which are convex in opposite directions: the inside of one is the outside of the other. Each has seven smaller polyhedra nested within itself, but their two volumes are disjoint.}}

[[File:Tensegrity Icosahedron.png|thumb|[[WikiJournal Preprints/Kinematics of the cuboctahedron#Elastic-edge transformation|Tensegrity icosahedron]] structure.{{Sfn|Burkhardt|1994}} First built by [[W:Kenneth Snelson|Kenneth Snelson]] in 1949. Geometrically a [[w:Jessen's_icosahedron|Jessen's icosahedron]] with 6 reflex ''long'' edge struts, and 24 ''short'' edge tension cables around 8 equilateral triangle faces. 3 pairs of parallel struts lie in 3 orthogonal central planes.]]
We have come far enough with our pentad building blocks, usually so useless to children less wise than Todd or Coxeter, to see that the 60 Moxness's Hull #8 rhombicosidodecahedra are real polyhedra which the abstract hemi-icosahedra represent in some manner, but we have not yet identified 11 real face-bonded cells, at 11 distinct locations in the 120-cell, as an 11-cell. The abstract hemi-icosahedron's 10 faces correspond to actual 5-cell faces inscribed in real rhombicosidodecahedra, and its 15 edges correspond to 5-cell edges (of length {{radic|5}} in a {{radic|2}}-radius 120-cell) that occur as chords lurking under the surface of the rhombicosidodecahedra.

[[File:Buckminster-Fuller-holding-a-geodesic-tensegrity-sphere.png|thumb|200px|Buckminster Fuller holding a 3-dimensional geodesic tensegrity 2-sphere, an infinitesimally mobile rigid polytope consisting of tension cable edges and disjoint compression strut chords.&lt;ref&gt;{{Cite journal|last=Álvarez Elipe|first=Dolores|title=Ensegrities and Tensioned Structures|journal=Journal of Architectural Environment &amp; Structural Engineering Research|date=July 2020|volume=3|issue=3|url=https://www.researchgate.net/publication/343652287_Ensegrities_and_Tensioned_Structures}}&lt;/ref&gt;]]
A rhombicosidodecahedron is constructed from a regular icosahedron by truncating its vertices, making them into pentagon faces. The regular icosahedron frames all the regular and semi-regular polyhedra by expansion and contraction operations, as Alicia Boole Stott discovered before 1910,{{Sfn|Polo-Blanco: ''Theory and history of geometric models of Alicia Boole Stott''|2007|loc=§5.3.2 1910 paper on semi-regular polytopes|pp=152-158|ps=; summarizes Boole Stott's method and results from {{Sfn|Boole Stott|1910|loc=''Geometrical deduction of semiregular from regular polytopes and space fillings''|pp=12-45|ps=; presents two cyclical sequences of regular and semi-regular 4-polytopes linked by expansion-contraction operations to their embedded 3-polytopes, comprising a large trans-dimensional polytope family that includes 6 regular 4-polytopes and their 3-polytope dimensional analogues, and 45 Archimedean 4-polytopes and their 13 Archimedean 3-polytope analogues.}}, including her tables of expansion-contraction dimensional analogies and a few of her illustrations.}} and those wise young friends Coxeter &amp; Petrie, building together with polyhedral blocks, rediscovered before 1938.{{Sfn|Coxeter, du Val, Flather &amp; Petrie|1938|p=4|ps=; &quot;Just as a tetrahedron can be inscribed in a cube, so a cube can be inscribed in a dodecahedron. By reciprocation, this leads to an octahedron circumscribed about an icosahedron. In fact, each of the twelve vertices of the icosahedron divides an edge of the octahedron according to the &quot;[[W:Golden section|golden section]]&quot;. Given the icosahedron, the circumscribed octahedron can be chosen in five ways, giving a [[W:Compound of five octahedra|compound of five octahedra]], which comes under our definition of [[W:Stellated icosahedron|stellated icosahedron]]. (The reciprocal compound, of five cubes whose vertices belong to a dodecahedron, is a stellated [[W:Triacontahedron|triacontahedron]].) Another stellated icosahedron can at once be deduced, by stellating each octahedron into a [[W:Stella octangula|stella octangula]], thus forming a [[W:Compound of ten tetrahedra|compound of ten tetrahedra]]. Further, we can choose one tetrahedron from each stella octangula, so as to derive a [[W:Compound of five tetrahedra|compound of five tetrahedra]], which still has all the rotation symmetry of the icosahedron (i.e. the icosahedral group), although it has lost the reflections. By reflecting this figure in any plane of symmetry of the icosahedron, we obtain the complementary set of five tetrahedra. These two sets of five tetrahedra are enantiomorphous, i.e. not directly congruent, but related like a pair of shoes. [Such] a figure which possesses no plane of symmetry (so that it is enantiomorphous to its mirror-image) is said to be ''[[W:Chiral|chiral]]''.&quot;}} Before we can move on to locating the 11 discrete hemi-icosahedral cells of the 11-cell in the 120-cell, it is important that we take notice of one more icosahedral symmetry of the hidden {{radic|5}} chords lurking below the surface of Moxness's Hull #8 rhombicosidodecahedron. The 12 little pentagon faces (120-cell faces) are connected to each other in parallel pairs, by 10 sets of six disjoint {{radic|5}} chords (5-cell edges). Each six-chord set is the six reflex edges of a 12-point non-convex polyhedron called the [[w:Jessen's_icosahedron|Jessen's icosahedron]], which is to say that the six disjoint chords are the parallel-orthogonal strut chords of a [[WikiJournal Preprints/Kinematics of the cuboctahedron#Elastic-edge transformation|tensegrity icosahedron]]. The six chords of each set are disjoint (they don't touch or form 5-cell faces), and they are symmetrically arranged as 3 parallel pairs, {{radic|3}} apart, which lie in 3 orthogonal {12} central planes.{{Efn|The Jessen's icosahedron has 8 equilateral triangle faces, which are not rhombicosidodecahedron triangle faces or 5-cell triangle faces, they are 24-cell triangle faces. Each 120-cell pentagon face lies at one end of 20 5-cell edges, from 20 distinct Jessen's icosahedra and five disjoint 5-cells: four at each pentagon vertex from each 5-cell.}} Five disjoint instances of the Jessen's icosahedron may be inscribed in each Moxness's Hull #8 rhombicosidodecahedron, their struts propping the rhombicosidodecahedron and the 120-cell itself open like a tensegrity structure.{{Efn|Moxness's Hull #8 rhombicosidodecahedron is a compound of five disjoint Jessen's icosahedra, because the 60 {{radic|5}} chords meet two-at-a-vertex and form 10 distinct Jessen's icosahedra: five disjoint Jessen's, in two different ways. The dimensionally analogous construction is the [[120-cell#Compound of five 600-cells|120-cell as a compound of five disjoint 600-cells]], in two different ways. Consequently the 120-cell can be constructed as an infinitesimally mobile rigid geodesic 3-sphere: a 4-dimensional tensegrity sphere. The 120-cell's 1200 edges need only be tension cables, provided that a disjoint 600 of the 120 5-cells' 1200 edges are included as compression struts, in parallel pairs.|name=tensegrity 120-cell}} But here we find ourselves far out in the 3-sphere system, almost to the [[W:Borromean_rings|Borromean rings]] of the giant 600-cell. We shall have to go back and orient ourselves at the origin again, and work our way patiently outwards, before in ''[[#The perfection of Fuller's cyclic design|§The perfection of Fuller's cyclic design]]'' we approach that rare child Bucky Fuller's orthogonal 12-point tensegrity icosahedron, an [[WikiJournal Preprints/Kinematics of the cuboctahedron|in-folded cuboctahedron]], the unique pyritohedral fish swimming deep in the 3-sphere ocean.

== Eleven ==

Each pair of rhombicosidodecahedra that are not completely orthogonal intersect in a central plane containing an irregular {12} dodecagon. Ten irregular great dodecagons occur in each 60-point (central section 8&lt;sub&gt;3&lt;/sub&gt;) rhombicosidodecahedron, with 2 dodecagons crossing orthogonally at each vertex. Each rhombicosidodecahedron shares a {12} central plane with ten other rhombicosidodecahedra. 

''Groups of 11 rhombicosidodecahedra share central planes pairwise.'' Here, at last, we find eleven of something, a group which must comprise an 11-cell. There are eleven {12} central planes in the group, with one of the eleven absent from each rhombicosidodecahedron.

{|class=&quot;wikitable floatright&quot; width=450
!colspan=2|Perspective views{{Efn|1=These images are ''non-orthogonal'' orthographic projections of the chords described in the caption. Those chords do not lie in a plane parallel to the projection plane, so they appear foreshortened.{{Efn|name=orthogonal triacontagram projections}} Consecutive chords of the helical Petrie polygon slant toward and away from the viewer. Any three consecutive chords, but no four, are edges of the same cell, in the 4-polytope whose edges are the chord.{{Efn|name=Petrie polygon of a honeycomb}}}} of a compound of six disjoint 5-cells in dual position
|-
![[W:Triacontagon#Triacontagram|{30/12}{{=}}6{5/2} compound]]
![[W:Triacontagon#Triacontagram|{30/8}{{=}}2{15/4} compound]]{{Efn|name=orthogonal triacontagram projections|1=The {30/''n''} triacontagrams can each be seen as an ''orthogonal projection'' of the 120-cell showing all instances of the {30/''n''} chord. Each chord lies orthogonal to the line of sight, in a plane parallel to the projection plane. The diameter of the image is the diameter of the 120-cell. For example, the {30/8}=2{15/4} triacontagram is an orthogonal projection showing the 120-cell's 1200 {30/8} chords, the edges of 120 5-cells. Each edge of the triacontagram covers 40 5-cell edges, and each vertex covers 20 120-cell vertices. This projection can also be viewed as a compound of six 5-cells and their 30 unique vertices. But viewed that way, only 30 of the 60 5-cell edges are visible. Two edges meet at each vertex, but the other two are invisible. They are visible in the orthogonal view, the {30/4}=2{15} projection.}}
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|[[File:Regular_star_figure_6(5,2).svg|240px]]&lt;BR&gt;The 6{5/2} compound of six 5-cells. The six disjoint pentagrams in this view are six disjoint 5-cells.{{Efn|name=5-cell edges do not intersect is S&lt;sup&gt;3&lt;/sup&gt;}} The 120-cell, with 120 disjoint 5-cells, is a compound of 20 of these compounds. All edges are 5-cell edges, but only five of each 5-cell's ten edges are visible. The other five edges, connecting the points of the six 5-cell pentagrams, are visible in the 6{5} projection below, the orthogonal view:&lt;BR&gt;[[File:Regular_star_figure_6(5,1).svg|240px]]These two views look straight down the completely orthogonal axes of a [[w:Duocylinder|duocylinder]], from inside the curved 3-dimensional space of the 120-cell's surface. They are like looking down a column of 5-cells stacked on top of one another in curved 3-space, but the column is actually circular: it is bent into a torus in the fourth dimension.
|[[File:Regular_star_figure_2(15,4).svg|240px]]&lt;BR&gt;The 2{15/4} rotation circuits of the 5-cell isoclinic rotation. In this view, all edges are 75.5° chords of length {{radic|3}}, the 180° complement chord of the 5-cell edges of length {{radic|5}}.{{Efn|These are not 15-gons of 5-cell edges. There are no skew {15} polygons of 5-cell edges in the 120-cell. The 120 5-cells are completely disjoint, so the largest circuit along 5-cell edges is a skew {5}. Each vertex in the 120-cell is {{radic|5}} away from four and only four other vertices. No {{radic|5}} chords connect disjoint 5-cells; they are connected by several other chords. The skew {15} polygons are the discrete continuous spiral paths of moving vertices during an isoclinic rotation, and their edges are {{radic|3}} chords connecting 5-cells, not 5-cell edges.}} Each skew {15} polygon is the spiral chord-path of half the 30 vertices during the isoclinic rotation. The twined vertex orbits lie skew in 4-space; they form a circular double helix of two 15-gon spiral isoclines, winding through all four dimensions. These two completely orthogonal views look straight down an axis of a double helix cylinder, from inside the curved 3-dimensional space of the 120-cell's surface. Since the duocylinder is bent into a [[w:Clifford_torus|Clifford torus]] in the fourth dimension, the sightline axis in curved 3-space is a geodesic great circle in 4-space.&lt;BR&gt;[[File:Regular_star_figure_2(15,2).svg|240px]]
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![[W:Triacontagon#Triacontagram|{30/6}{{=}}6{5} compound]]
![[W:Triacontagon#Triacontagram|{30/4}{{=}}2{15/2} compound]]
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|colspan=2|Images by Tom Ruen in [[W:Triacontagon#Triacontagram|Triacontagram compounds and stars]].{{Sfn|Ruen: Triacontagon|2011|loc=§Triacontagram compounds and stars}}
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Each shared {12} central plane contains six disjoint 5-cell edges, from six completely disjoint 5-cells. Each rhombicosidodecahedron contains 60 5-cell edges, which form 20 disjoint 5-cell faces within the rhombicosidodecahedron, under and parallel to its own 20 smaller triangle faces. Four 5-cell edges meet at each vertex at the 5-cell's tetrahedral vertex figure. Two 5-cell edges of a face within the rhombicosidodecahedron meet two edges belonging to other faces of the 5-cell: edges and faces outside the rhombicosidodecahedron, in some neighboring rhombicosidodecahedron.{{Efn|name=orthogonal triacontagram projections}} Each 5-cell face is shared by two tetrahedral cells of one 5-cell. It has its three 104.5° {{radic|5}} edges in three distinct {12} central planes, and is parallel to a fourth {12} central plane. In each rhombicosidodecahedron there are ten sets of five parallel planes: a {12} central plane, a pair of 5-cell faces on either side of it (from disjoint 5-cells), and a pair of rhombicosidodecahedron triangle faces. Each rhombicosidodecahedron is sliced into five parallel planes, ten distinct ways.

There is no face sharing between 5-cells: the 120 5-cells in the 120-cell are completely disjoint. 5-cells never share any elements, but they are related to each other positionally, in groups of six, in the '''characteristic rotation of the regular 5-cell'''. That rigid isoclinic rotation takes the six 5-cells within each group to each other's positions, and back to their original positions, in a circuit of 15 rotational displacements.{{Sfn|Mamone, Pileio &amp; Levitt|2010|loc=§4.5 Regular Convex 4-Polytopes, Table 2, Symmetry operations|pp=1438-1439|ps=; in symmetry group 𝛢&lt;sub&gt;4&lt;/sub&gt; the operation [15]𝑹&lt;sub&gt;q3,q3&lt;/sub&gt; is the 15 distinct rotational displacements which comprise the class of pentadecagram isoclinic rotations of the 5-cell; in symmetry group 𝛨&lt;sub&gt;4&lt;/sub&gt; the operation [1200]𝑹&lt;sub&gt;q3,q13&lt;/sub&gt; is the 1200 distinct rotational displacements which comprise the class of pentadecagram isoclinic rotations of the 120-cell.}} Each displacement takes every 104.5° 5-cell edge of length {{radic|5}} to an edge 75.5° and {{radic|3}} away in another 5-cell in the group of six 5-cells. The 30 vertices of the six 5-cells rotate along 15-chord helical-circular isocline paths from 5-cell to 5-cell, before closing their circuits and returning the moving 5-cells to their original locations and orientations.{{Efn|In an [[24-cell#Isoclinic rotations|isoclinic rotation]], each point anywhere in the 4-polytope moves an equal distance in four orthogonal directions at once, on a [[W:8-cell#Radial equilateral symmetry|4-dimensional diagonal]]. The point is displaced a total [[W:Pythagorean distance|Pythagorean distance]] equal to the square root of four times the square of that distance. The orthogonal distance equals half the total Pythagorean distance. For example, when the {{radic|2}}-radius 5-cell rotates isoclinically 104.5° in the invariant central planes of its 104.5° edges of length {{radic|5}}, each vertex is displaced to another vertex  75.5° and {{radic|3}} away, moving {{radic|3/4}} in four orthogonal directions at once.|name=isoclinic 4-dimensional diagonal}}

The six rotationally related 5-cells form a stellated compound, a non-convex 4-polytope with 30 star points.{{Efn|name=compound of six 5-cells}} The star compound, and the rotation of the 5-cell within it, are illustrated by orthogonal projections from four different perspective viewpoints. To help us visualize the 4-polytopes within the 120-cell, we can examine 2-dimensional orthographic projections from various points of view. Such images filtered to include only chords of a single length are especially revealing, because they pick out the edges of a particular 4-polytope, or the isocline chords of its rotational orbits, the chords which link 4-polytopes together. No view of a single chord from a single point of view is sufficient by itself, but if we visualize various chords from various perspectives, we imagine the 4-dimensional rotational geometry of interrelated objects within the 120-cell. 

The star compound as a whole has ten {12} central planes, like a rhombicosidodecahedron. Each {12} central plane contains one edge from each of the six 5-cells. Each {12} central plane is shared by two rhombicosidodecahedra in the group of eleven, and by six 5-cells in the group of six.

== The eleventh chord ==
[[File:Major chord 11 of 135.5° in the 120-cell.png|thumb|The 120-cell contains 200 irregular {12} central planes containing 1200 135.5° {30/11} chords, six in each plane (shown in blue). They lie parallel to six 104.5° {30/8} chords (the 5-cell edges, shown in red), to which they are joined by 15.5° {30/1} 120-cell edges, and by 120° {30/10} great triangle edges (only one of the four great triangles is shown, in green).]]
In addition to six 104.5° {30/8} 5-cell edge chords of length {{radic|5}}, the {12} central plane contains six 135.5° {30/11} chords of length &lt;math&gt;\phi^2&lt;/math&gt;, parallel to the {{radic|5}} chords. The {30/11} chord spans an arc of five shorter chords: 

* 15.5° {30/1} + 44.5° {30/4} + 15.5° {30/1} + 44.5° {30/4} + 15.5° {30/1} = 135.5° {30/11)
* 15.5° {30/1} + 104.5° (30/8) + 15.5° {30/1} = 135.5° {30/11)
* 15.5° {30/1} + 120° (30/10) = 135.5° {30/11)

and its chord length is the linear sum of five shorter chords: 

* 1/𝜙^2 {30/1} + 1/𝜙^2 {30/1} + 1/𝜙 {30/2} + 1/𝜙 {30/2} + 1/𝜙 {30/2} = 𝜙^2 {30/11)

Two distinct chords are always related to each other in two different ways: by their degrees-of-arc-difference, and by their linear difference chord. The 135.5° {30/11) chord is ''two'' 15.5° (30/1) 120-cell edge-arcs longer than the 104.5° (30/8) 5-cell edge chord. But the &lt;math&gt;\phi^2&lt;/math&gt; {30/11} chord ''length'' is just ''one'' {30/1} 120-cell edge chord length longer than the {{radic|5}} {30/8} 5-cell edge chord.{{Efn|In a &lt;small&gt;&lt;math&gt;\sqrt{2}&lt;/math&gt;&lt;/small&gt;-radius 120-cell, the 15.5° {30/1} 120-cell edge chord has length &lt;small&gt;&lt;math&gt;\phi^{-2}&lt;/math&gt;&lt;/small&gt;. The 25.2° {30/2} pentagon face diagonal chord of length &lt;small&gt;&lt;math&gt;\phi^{-1}&lt;/math&gt;&lt;/small&gt; is &lt;small&gt;&lt;math&gt;\phi&lt;/math&gt;&lt;/small&gt; times the {30/1} edge length. The 41.1° 5-cell isocline chord of length &lt;small&gt;&lt;math&gt;\sqrt{1}&lt;/math&gt;&lt;/small&gt; is &lt;small&gt;&lt;math&gt;\phi^2&lt;/math&gt;&lt;/small&gt; times the {30/1} edge length. The 69.8° chord of length &lt;small&gt;&lt;math&gt;\phi&lt;/math&gt;&lt;/small&gt; is &lt;small&gt;&lt;math&gt;\phi^3&lt;/math&gt;&lt;/small&gt; times the {30/1} edge length. The 135.5° {30/11} 11-cell edge chord of length &lt;small&gt;&lt;math&gt;\phi^2&lt;/math&gt;&lt;/small&gt; is &lt;small&gt;&lt;math&gt;\phi^4&lt;/math&gt;&lt;/small&gt; times the {30/1} edge length.}}  

The {30/11} chord can be bisected into two shorter 120-cell chords in three different ways: 

* 15.5° {30/1} 120-cell edge + 104.5° {30/8} 5-cell edge = {30/11} chord
* 25.2° {30/2} 120-cell pentagon face diagonal + 90° {30/15} 16-cell edge = {30/11} chord
* 41.4° {30/1}+{30/2} chord + 69.8° {30/2}+{30/1}+{30/2} chord = {30/11} chord

[[File:Regular_star_polygon_30-11.svg|thumb|The [[W:Triacontagon#Triacontagram|{30/11} regular triacontagram]] of the 11-cell rotation.{{Sfn|Ruen: Triacontagon|2011|loc=§Triacontagram compounds and stars}} In this 2-dimensional projection of a 30-edge 4-dimensional helix ring, the 30 chords pictured lie in 30 distinct central planes, and no two planes are orthogonal.]]
The last of those bisections trisects the {30/11} chord into three distinct shorter chords: 

* 15.5° {30/1} + 25.2° {30/2} + 44.5° {30/4} chord = 135.5° {30/11} chord

The {30/11} chords do not form triangle faces within the rhombicosidodecahedron the way the {30/8} chords do, but they do meet at a tetrahedral vertex figure. 

Groups of 11 rhombicosidodecahedra (an 11-cell) share central planes pairwise, including all the chords in the {12} central plane. When 11 things, all pairwise-adjacent to each other, are arranged in any circuit of 30 positions, there exists another pairwise circuit of 30 positions through every eleventh position, whether the things are 11 vertices, 11 rhombicosidodecahedra, or 11 [[w:Aardvark|aardvarks]] (although it might be unwieldy in practice to so arrange 11 live aardvarks, e.g. by tying them together pairwise with cords in both circuits). This intrinsic property of the [[w:Rational_number|rational number]] 30/11 is responsible for the existence of the {30/11} regular triacontagram (see illustration). The 11 rhombicosidodecahedra of the 11-cell are linked by a regular {30/11} triacontagram of 30 chords which runs through them. Each successive chord of the 30 in the triacontagram is shared by a distinct pair of rhombicosidodecahedra in the 11-cell group. An isoclinic rotation characteristic of the 11-cell takes the rhombicosidodecahedra in each 11-cell to each other's positions, pair by pair, in a circuit of 30 rotational displacements. It takes every {12} central plane to a Clifford parallel {12} central plane that is 44.5° away in two completely orthogonal angles. One 135.5° {30/11} chord separates each of the 12 vertex pairs. 

In this '''characteristic rotation of the 11-cell''' in its edge planes, the invariant planes are {12} central planes, the edges of the 11-cell are {30/11} chords, and the isocline chords of the vertex orbits are also {30/11} 11-cell edges, because the triacontagram is regular.{{Efn|In the 120-cell there are three ''regular isoclinic rotations'' in which the rotation edge and the isocline chord are the same chord. These rotations are each described by a [[W:Triacontagon#Triacontagram|regular triacontagram]]: the {30/7} rotation characteristic of the 16-cell in great square invariant planes, the {30/11} rotation characteristic of the 11-cell, and the {30/13} rotation.}} The 44.5° {30/4} chord of length &lt;small&gt;&lt;math&gt;\sqrt{3}/\phi&lt;/math&gt;&lt;/small&gt;, the 180° complement of the {30/11} chord, is the orthogonal distance between nearest parallel {30/11} chords.{{Efn|In its characteristic isoclinic rotation, a 4-polytope rotates an equal arc distance in each invariant {12} edge plane in each rotational displacement. In the 11-cell, every invariant plane rotates 44.5° (like a wheel), and tilts sideways 44.5° (like a coin flipping) in the completely orthogonal invariant plane, to occupy another invariant plane in the group of eleven. Each pair of original and destination {12} central planes are Clifford parallel and intersect only at one point (the center of the 4-polytope), but six other {12} central planes intersect them both. Two parallel {30/11} chords in each of the six spanning {12} central planes separate two vertex pairs in the original and destination planes, and these are the isocline chords over which the two vertices move in the rotation. None of the six spanning {12} central planes are contained in either the original or destination rhombicosidodecahedron. A total of ten {12} central planes span each original and destination rhombicosidodecahedron; they comprise a third rhombicosidodecahedron which does not belong to the group of eleven. The edges of an 11-cell and the isocline chords of an 11-cell are disjoint sets of {30/11} chords.}} The 60 vertices of each rhombicosidodecahedron rotate in parallel, on non-intersecting 30-chord spiral orbital paths, from rhombicosidodecahedron to rhombicosidodecahedron, before closing their circuits and returning the moving rhombicosidodecahedron to its original location and orientation. In this isoclinic rotation of a rigid 120-cell, the 60 rhombicosidodecahedra do this concurrently. Each of the 600 vertices moves on a 4-dimensionally-curved helical isocline, over a skew regular polygram of 30 {30/11} chords, in which a {30/11} chord connects every eleventh vertex of a {30} triacontagram.

In the course of a complete revolution (the 30 rotational displacements of this isoclinic rotation), an 11-cell visits the positions of three 11-cells (including itself) 10 times each (in 10 different orientations), and returns to its original position and orientation.{{Sfn|Coxeter|1984|loc=§9. Eleven disjoint decagons}} At each step it occupies the same distinct group of 11 rhombicosidodecahedra sharing planes pairwise, and its 11 vertex positions are those of a distinct 11-cell in the group of eleven 11-cells. A group of 4-polytopes related by an isoclinic rotation is contained in a larger compound 4-polytope which subsumes them. This group of eleven 11-cells related by an isoclinic rotation is not a compound of eleven disjoint 11-cells (since they share vertices), but it is a compound of eleven non-disjoint 11-cells, in the same sense that a 24-cell is a compound of three non-disjoint 8-cell tesseracts.

Consider the incidence of these 30-chord {30/11} triacontagram rotation paths, and their intersections. Each rhombicosidodecahedron has 60 vertices and 60 {30/11} chords, which rotate concurrently on Clifford parallel triacontagrams. The 120-cell has only 600 vertices and 1200 {30/11} chords, so at most 20 triacontagrams can be disjoint; some must intersect. But the 11 vertices of an individual 11-cell must be linked by disjoint 30-position {30/11} triacontagram helices, such that their rotation paths never intersect.{{Efn|The isoclines on which a 4-polytope's vertices rotate in parallel never intersect. Isoclinic rotation is a concurrent motion of Clifford parallel (disjoint) elements over Clifford parallel (non-intersecting) circles.}} Each 11-cell has two disjoint triacontagram helicies, its left and right isoclinic rotations, in each of its four discrete fibrations. The 120-cell has 60 distinct {30/11} triacontagram helices, which are 11 disjoint {30/11} triacontagram helices in 11 distinct ways.

{{Sfn|Steinbach|2000|loc=''Sections Beyond Golden''; Figure 5. Optimal sections and proportions|p=37|ps=; the regular polygons {5}, {7}, {9} and {11} with their diagonals define respectively: {5} the golden bisection proportional to 𝜙; {7} an analogous trisection; {9} an analogous quadrasection; {11} an analogous pentasection.}}

== Compounds in the 120-cell ==

[[120-cell#Geometry|The 120-cell is the maximally complex regular 4-polytope]], containing inscribed instances of every kind of regular 1-, 2-, 3-, and 4-polytope, up to the heptagon {7}. The 120-cell is the convex hull of a regular [[120-cell#Relationships among interior polytopes|compound of each of the other 5 regular convex 4-polytopes]].

{{Regular convex 4-polytopes|columns=7|wiki=W:|radius={{radic|2}}|instance=1}}

=== How many building blocks, how many ways ===

The 120-cell is the convex hull of a compound of 75 disjoint 16-cells, of 25 disjoint 24-cells, of 5 disjoint 600-cells, and of 120 disjoint regular 5-cells. Children building the 120-cell up from their 16-cell building blocks will soon learn to protect their sanity by thinking of these nesting 4-polytopes by their alternate names, as ''n''-points symmetrically distributed on the 3-sphere, as synonyms for their conventional names, as ''n''-cells tiling the 3-sphere. They are the 8-point (16-cell), the 16-point (8-cell) tesseract, the 24-point (24-cell), the 120-point (600-cell), and the 600-point (120-cell).

The 8-point (16-cell), not the 5-point (5-cell), is the smallest building block, which compounds to everything else. The 8-point compounds by 2 into the 16-point, and by 3 into the 24-point; what could be simpler? The 16-point compounds into the 24-point by 3 ''non-disjoint instances'' of itself which share pairs of vertices. (We can think of non-disjoint instances as overlapping instances, except that disjoint instances overlap in space too, they just don't have overlapping vertex sets.) The 24-point compounds by 5 disjoint instances of itself in the 120-point, and the 120-point compounds by 5 disjoint instances of itself in the 600-point. So far, our children are happily building, and their castle makes sense to them. Then things get hairy.

The 24-point also compounds by &lt;math&gt;5^2&lt;/math&gt; non-disjoint instances in the 120-point; it compounds into 5 disjoint instances of itself, 10 (not 5) different ways. Whichever way the child builds it, the resulting 120-point, magically, contains 25 distinct 24-points, not just 5 (or 10). This means that 15 disjoint 8-point building blocks will construct a 120-point, which then magically contains 75 distinct 8-points. 

[[File:Ortho solid 016-uniform polychoron p33-t0.png|thumb|Orthogonal projection of the 600-point [[W:Great grand stellated 120-cell|great grand stellated 120-cell]] &lt;small&gt;&lt;math&gt;\{\tfrac{5}{2},3,3\}&lt;/math&gt;&lt;/small&gt;,{{Sfn|Ruen: Great grand stellated 120-cell|2007}} discovered by [[W:Ludwig Schläfli|Ludwig Schläfli]]. Named by [[W:John Horton Conway|John Horton Conway]], extending the naming system by [[W:Arthur Cayley|Arthur Cayley]] for the [[W:Kepler-Poinsot polyhedron#Characteristics|Kepler-Poinsot solids]], and the only one containing all three modifiers in the name.]]
The 600-point is 5 disjoint 120-points, just 2 different ways (not 5 or 10 ways). So it is 10 non-disjoint 120-points. This means the 8-point building block compounds by 3 times &lt;math&gt;5^2&lt;/math&gt; (75) disjoint instances of itself into the 600-point, which then magically contains &lt;math&gt;3^2&lt;/math&gt; times  &lt;math&gt;5^2&lt;/math&gt; (225) distinct instances of the 24-point, and  &lt;math&gt;3^3&lt;/math&gt; times &lt;math&gt;5^2&lt;/math&gt; (675) distinct instances of the original 8-point. 

They will be rare wise children who figure all this out for themselves, and even wiser who can see ''why'' it is so. [[W:Pieter Hendrik Schoute|Schoute]] was the first to see that the 120-point (600-cell) is a compound of 5 24-point (24-cells) ''10 different ways'', and after he saw it a hundred years lapsed until Denney, Hooker, Johnson, Robinson, Butler &amp; Claiborne proved his result, and showed why.{{Sfn|Denney, Hooker, Johnson, Robinson, Butler &amp; Claiborne|2020|loc=''The geometry of H4 polytopes''|ps=; This hexad of scholars from New Orleans, Louisiana extracted the truth from the permutations of the 120-point 600-cell as perspicaciously as Coxeter did from the permutations of the 11-point 11-cell.}}

So much for the compounds of 16-cells. The 120-cell is also the convex hull of the compound of 120 disjoint regular 5-cells. That stellated compound (without its convex hull of 120-cell edges) is the [[w:Great_grand_stellated_120-cell|great grand stellated 120-cell]], the final regular [[W:Stellation|stellation]] of the 120-cell, the only [[W:Schläfli-Hess polychoron|regular star 4-polytope]] to have the 120-cell for its convex hull. The edges of the great grand stellated 120-cell are &lt;math&gt;\phi^6&lt;/math&gt; as long as those of its 120-cell [[W:Stellation core|stellation core]] deep inside.

The compound of 120 regular 5-cells can be seen to be equivalent to the compound of 5 disjoint 600-cells, as follows. Beginning with a single 120-point (600-cell), expand each vertex into a regular 5-cell, by adding 4 new equidistant vertices, such that the 5 vertices form a regular 5-cell inscribed in the 3-sphere. The 120 5-cells are disjoint, and the 600 vertices form 5 disjoint 120-point (600-cells): a 120-cell.

=== Building the building blocks themselves ===

We have built every regular 4-polytope except the 5-cell out of 16-cells, but we haven't made the 16-cell (or the 5-cell) out of anything. So far, we have just accepted them both a priori, like [[W:Euclid's postulates|Euclid's postulates]], and proceeded to build with them. But it turns out that while they are the two atomic regular 4-polytopes, they are not indivisible, and can be built up as honeycombs of identical smaller ''irregular'' 4-polytopes. They are not a priori miracles; like everything else fundamental in nature, including Euclid's postulates, at root they are an expression of a distinct [[w:Symmetry_group|symmetry group]].

Every regular convex ''n''-polytope can be subdivided into instances of its characteristic [[W:Orthoscheme|Schläfli orthoscheme]] that meet at its center. An ''n''-orthoscheme (not an ''n''-[[w:Orthoplex|orthoplex]]!) is an ''irregular'' ''n''-[[w:Simplex_(geometry)|simplex]] with faces that are various right triangles instead of congruent equilateral triangles. A characteristic ''n''-orthoscheme possesses the complete symmetry of its ''n''-polytope without any redundancy, because it contains one of each of the polytope's characteristic root elements. It is the gene for the polytope, which can be replicated to construct the polytope.{{Efn|A [[W:Schläfli orthoscheme|Schläfli orthoscheme]] is a [[W:Chiral|chiral]] irregular [[W:Simplex|simplex]] with [[W:Right triangle|right triangle]] faces that is characteristic of some polytope because it will exactly fill that polytope with the reflections of itself in its own [[W:facet (geometry)|facet]]s (its ''mirror walls''). Every regular polytope can be partitioned radially by its planes of symmetry (Coxeter's &quot;reflecting circles&quot;) into instances of its [[W:Orthoscheme#Characteristic simplex of the general regular polytope|characteristic orthoscheme]] surrounding its center. The characteristic orthoscheme and its chiral mirror image can be replicated rotationally to generate its regular 4-polytope because it is the complete [[W:gene|gene]] for it, containing all of its elements and capturing all of its symmetry without any redundancy. It has the shape described by the same [[W:Coxeter-Dynkin diagram|Coxeter-Dynkin diagram]] as the regular polytope without the ''generating point'' ring that triggers the reflections.|name=Characteristic orthoscheme}}

The regular 4-simplex (5-cell) is subdivided into 120 instances of its [[5-cell#Orthoschemes|characteristic 4-orthoscheme]] (an irregular 5-cell) by all of its &lt;math&gt;A_4&lt;/math&gt; planes of symmetry at once intersecting at its center, so its symmetry is of order 120. The 120-cell is the convex hull of the regular compound of 120 disjoint regular 5-cells, so it can be subdivided into &lt;small&gt;&lt;math&gt;120\times 120 = 14400&lt;/math&gt;&lt;/small&gt; of these 4-orthoschemes, so that is the symmetry order of the 120-cell.

The regular 4-orthoplex (16-cell) is subdivided into 384 instances of its [[16-cell#Tetrahedral constructions|characteristic 4-orthoscheme]] (another irregular 5-cell) by all of its &lt;math&gt;B_4&lt;/math&gt; planes of symmetry at once intersecting at its center, so its symmetry is of order 384. The 120-cell is the convex hull of the regular compound of 75 disjoint 16-cells (which have 2-fold reflective symmetry), so its symmetry is of order &lt;small&gt;&lt;math&gt;75\times 384 / 2 = 14400&lt;/math&gt;&lt;/small&gt;.

The regular 24-point (24-cell) is subdivided into 1152 instances of its [[24-cell#Characteristic orthoscheme|characteristic 4-orthoscheme]] (yet another irregular 5-cell) by all of its &lt;math&gt;F_4&lt;/math&gt; planes of symmetry at once intersecting at its center, so its symmetry is of order 1152. The 120-cell is the convex hull of the regular compound of 25 disjoint 24-cells (which have 2-fold reflective symmetry), so its symmetry is of order &lt;small&gt;&lt;math&gt;25\times 1152 / 2 = 14400&lt;/math&gt;&lt;/small&gt;.

The regular 120-point (600-cell) is subdivided into 14400 instances of its [[600-cell#Characteristic orthoscheme|characteristic 4-orthoscheme]] (yet another irregular 5-cell) by all of its &lt;math&gt;H_4&lt;/math&gt; planes of symmetry at once intersecting at its center, so its symmetry is of order 14400. The regular 600-point (120-cell) is the convex hull of the regular compound of 5 disjoint 600-cells (which have 5-fold reflective symmetry), so its symmetry is of order &lt;small&gt;&lt;math&gt;5 \times 14400 / 5 = 14400&lt;/math&gt;&lt;/small&gt;.

=== Building with sticks ===

[[File:15 major chords.png|thumb|300px|The 15 major chords {30/1} ... {30/15} join vertex pairs which are 1 to 15 edges apart on a skew {30} [[w:Petrie_polygon|Petrie polygon]] of the 120-cell.{{Efn|Drawing the fan of major chords with #1 and #11 at a different origin than all the others was an artistic choice, since all the chords are incident at every vertex. We could just as well have fanned all the chords from the same origin vertex, but this arrangement notices the important parallel relationship between #8 and #11, and calls attention to the 11-cell's maverick edge chord.|name=fan of 15 major chords}} The 15 minor chords (not shown) fall between two major chords, and their length is the sum of two other major chords; e.g. the 41.4° minor chord of length {30/1}+{30/2} falls between the 36° {30/3} and 44.5° {30/4} chords.]]
We have seen how all the regular convex 4-polytopes except the 5-cell, including the largest one on the cover of the box, can be built from a box containing 675 16-cell building blocks, provided we can arrange the blocks on top of one another in 4-space, as interpenetrating objects. An alternate box, containing 120 regular 5-cell building blocks, builds the great grand stellated 120-cell (the picture on ''its'' cover), by the same method. In these boxes, the atomic building part is one of the two smallest regular 4-polytopes (5-cell or 16-cell), each generated by its characteristic isoclinic rotation as an expression of its symmetry group (&lt;math&gt;A_4&lt;/math&gt; or &lt;math&gt;B_4&lt;/math&gt;).

All the regular convex 4-polytopes, including the largest one on the cover of the box, can also be built from a box containing a certain number of building sticks and rubber joints, provided we can connect the sticks together in 4-space with the rubber joints. In this box, the atomic building parts are 1-dimensional edges and chords of just 15 distinct arc-lengths. The regular 4-polytopes do not contain a vast variety of stick lengths, but only 30 of them: only 15 unique pairs of 180° complementary chords. The 15 ''major chords'' {30/1} ... {30/15} suffice to construct all the regular 4-polytopes. The 15 ''minor chords'' occur only in the 120-cell, not in any smaller regular 4-polytope; they emerge as a consequence of building the largest 4-polytope on the cover of the box from major chords.

In polytope geometry, each chord of a polytope is both is a distinct 1-dimensional object, a chord of the unit-radius sphere of a distinct length &lt;math&gt;l&lt;/math&gt;, and a distinct rational number &lt;math&gt;h&lt;/math&gt;, a unique flavor. If the polytope is regular, it is a noteworthy distinctive flavor. The chord's length &lt;math&gt;l&lt;/math&gt; is a square root, related to the rational number &lt;math&gt;h = k/d&lt;/math&gt; and to the polygon &lt;small&gt;&lt;math&gt;\{k/d\}&lt;/math&gt;&lt;/small&gt; it represents, by a formula discovered by Steinbach.{{Sfn|Steinbach|1997|loc=''Golden Fields''; §1. The Diagonal Product Formula|pp=22-24|ps=; The product of two diagonals is a sum of a sequence of diagonals (in the fan, every other one) centered on the longer of the two, for all regular polygons. We may express products and quotients of diagonals &lt;math&gt;d_k&lt;/math&gt; of an &lt;math&gt;n&lt;/math&gt;-gon (with edge &lt;math&gt;d_0=1&lt;/math&gt;) as linear combinations of diagonals.}} The chord length &lt;math&gt;l&lt;/math&gt; is related to the number of sides of the regular polygon &lt;small&gt;&lt;math&gt;\{k\}&lt;/math&gt;&lt;/small&gt;, and to the winding number or density of the polygram (its denominator &lt;math&gt;d&lt;/math&gt;).{{Sfn|Kappraff &amp; Adamson|2004}} The largest &lt;math&gt;k&lt;/math&gt; of any major chord in the 120-cell is 30, and the polygrams &lt;small&gt;&lt;math&gt;\{30/d\}&lt;/math&gt;&lt;/small&gt; represent all the skew Petrie polygons and characteristic isoclinic rotations of the regular 4-polytopes.

== Concentric 120-cells ==

The 8-point 16-cell, not the 5-point 5-cell, is the smallest regular 4-polytope which compounds to every larger regular 4-polytope. The 5-point 5-cell is also an atomic building block, but one that compounds to nothing else regular except the leviathan 120-cell polytope: the picture on the cover of the box, that is built from everything in the box. In the [[User:Dc.samizdat/A symmetrical arrangement of eleven 11-cells#Build with the blocks|sequence of 4-polytope compounds]], we actually start with the 16-cell at the small end, and the 5-cell emerges only at the large end.

To build with the 16-cell blocks, we simply put them on top of each other as interpenetrating compounds. We can build every other regular 4-polytope from them by that method, except the individual regular 5-cell. We can also try to build with the 5-cell that way, as when we tried to build a 4-polytope of 11 hemi-icosahedral cells from 11 5-cells, but that was rather hard going. We somehow found 5-cell edges and faces lurking inside hemi-icosahedral rhombicosidodecahedra, and 11 rhombicosidodecahedra sharing central planes pairwise, and even the edges and characteristic rotation of the 11-cell, but we didn't quite get all the way to a discrete 11-cell 4-polytope made from 11 5-cells.

That's because ''compounding'' isn't the easiest method for building with the 5-cell. The 5-cell is the last building block hierarchically, not the first, and the most natural way to build with it is in reverse, by ''subdividing'' it, to find all the parts inscribed inside it. When we've taken the 5-cell apart, all the ways we possibly can, into certain ''irregular'' 4-polytopes found within it, we will have a new set of irregular 4-polytope building blocks, which compound to the 5-cells and everything else, including the 11-cells.

Subdividing a polytope is done by a geometric operation called ''[[w:Truncation_(geometry)|truncation]]''. There are myriad ways to truncate a 5-cell, each corresponding to a distinct ''depth'' of truncation at a particular point on an edge, or a line on a face, or a face on a cell, where a piece of the 5-cell is cut off. The simplest truncations, such as [[w:Rectification_(geometry)|cutting off each vertex at the midedge of each incident edge]], have been very well-studied; but how should we proceed? Let us see what happens when we [[w:Truncated_5-cell|truncate the 5-cells]] found in the 120-cell, by the simplest kinds of truncation. These three semi-regular 10-cells are closely related truncations of the regular 5-cell: 

* The 30-point 10-cell [[w:Bitruncated_5-cell|bitruncated 5-cell]] is the convex hull, and the convex common core, of a stellated compound of six 5-cells.
* The 20-point 10-cell [[w:Truncated_5-cell|truncated 5-cell]] is the convex hull, and the convex common core, of a stellated compound of four 5-cells.
* The 10-point 10-cell [[w:Rectified_5-cell|rectified 5-cell]] is the convex hull, and the convex common core, of a stellated compound of two 5-cells.
In the following sections, we explore the effect of performing these truncations on the 120-cell's 120 5-cells. We begin by identifying some promising truncation points on the 120-cell's 5-cell edge chords at which to cut.

If we cut off the 120-cell's 600 vertices at some point on its 1200 5-cell edges, we create new vertices on the edges of the 120 5-cells, which lie on a smaller 3-sphere than the 120-cell. How many vertices does the smaller 4-polytope thus created have? That is, how many distinct 5-cell edge truncation points occur in the 120-cell? As many as 1200, the number of 5-cell edges, or perhaps 2400, if each edge is truncated at both ends. But also perhaps fewer; for example, if the 120-cell contains pairs of 5-cells with intersecting edges, and the edges intersect at the point on each edge where we make our cut.

[[File:Great_(12)_chords_of_radius_√2.png|thumb|400px|Chords of the radius {{radic|2}} 120-cell in one of its 200 irregular {12} dodecagon central planes. The {{radic|2}} chords form two regular {6} hexagons (black).{{Efn|name=compound of 5 cuboctahedra}} The 120-cell edges form two irregular {6} hexagons (red truncated triangles) with the {{radic|5}} chords. The {6} intersection points (black) of the {{radic|5}} chords form a smaller red regular hexagon of radius {{radic|1}} (inscribed in the red circle).]]In the irregular {12} central plane chord diagram, we see six truncation points on the six 104.5° 5-cell edges of length {{Radic|5}}, where two co-planar 5-cell edges intersect, directly under the midpoint of a 44.5° chord (and under the intersection point of two 60° chords). The six truncation points lie on a red circle that is a circumference of the smaller 4-polytope created by this truncation. They form a red regular hexagon inscribed in the red circle. The edge length of this regular hexagon is {{radic|1}}.

The two intersection points on the {{Radic|5}} chord divide it into its golden sections. The center section of the chord is &lt;small&gt;&lt;math&gt;1&lt;/math&gt;&lt;/small&gt;. The center section plus either of the smaller sections is &lt;small&gt;&lt;math&gt;\phi = \tfrac{\sqrt{5} + 1}{2} \approx 1.618&lt;/math&gt;&lt;/small&gt;, the larger golden section. Each of the two smaller sections is &lt;small&gt;&lt;math&gt;\Phi = \phi - 1 = \tfrac{1}{\phi} \approx 0.618&lt;/math&gt;&lt;/small&gt;, the smaller golden section.{{Efn|The bitruncated {30/8} chord of the 120-cell provides a geometric derivation of the golden ratio formulas. Consider a 120-cell of radius &lt;small&gt;&lt;math&gt;2\sqrt{2}&lt;/math&gt;&lt;/small&gt; in which the {30/8} chord is &lt;small&gt;&lt;math&gt;2\sqrt{5}&lt;/math&gt;&lt;/small&gt; and the center section of the chord is &lt;small&gt;&lt;math&gt;2&lt;/math&gt;&lt;/small&gt;. Divide results by &lt;small&gt;&lt;math&gt;2&lt;/math&gt;&lt;/small&gt; to get a radius &lt;small&gt;&lt;math&gt;\sqrt{2}&lt;/math&gt;&lt;/small&gt; result. The left section of the chord is:
:&lt;small&gt;&lt;math&gt;\tfrac{\sqrt{5} - 1}{2} \approx 0.618&lt;/math&gt;&lt;/small&gt;
The center section plus the right section is:
:&lt;small&gt;&lt;math&gt;\tfrac{1 + \sqrt{5}}{2} \approx 1.618&lt;/math&gt;&lt;/small&gt;
The sum of these two golden sections is &lt;small&gt;&lt;math&gt;\sqrt{5} \approx 2.236&lt;/math&gt;&lt;/small&gt;, the chord length.}}

The smaller golden sections &lt;small&gt;&lt;math&gt;\Phi \approx 0.618&lt;/math&gt;&lt;/small&gt; of the 5-cell edge are the same length as the 120-cell's 25.2° pentagon face diagonal chords. No 25.2° chords appear in the {12} central plane diagram, because they do not lie in {12} central planes.

Each 104.5° 5-cell edge chord of length {{Radic|5}} has ''two'' points of intersection with other 5-cell edges, exactly 60° apart, the ''arc'' of a 24-cell edge chord, but with ''length'' {{radic|1}}. The center segment of the 5-cell edge, between the two intersection points, is a 24-cell edge in the smaller 4-polytope, and the red hexagon is a [[24-cell#Great hexagons|24-cell's great hexagon]] in the smaller 4-polytope. Nine other of its great hexagons, in other planes, each intersect with an antipodal pair of these {6} vertices. The dihedral angles between hexagon planes in a 24-cell are 60°, and four great hexagons intersect at each vertex. The 1200 5-cell edges, with two intersection points each, are reduced to 600 distinct vertices, so the smaller 4-polytope is a smaller 120-cell.

The larger 120-cell, of radius {{radic|2}}, is concentric to a smaller instance of itself, of radius {{radic|1}}. Each 120-cell contains 225 distinct (25 disjoint) inscribed 24-cells. The smaller 24-cells are the [[w:Inscribed_sphere|insphere]] duals of the larger 24-cells. The vertices of the smaller 120-cell are located at the octahedral cell centers of the 24-cells in the larger 120-cell. Four 5-cell edges meet in 600 tetrahedral vertex figures. Four orthogonally intersecting 5-cell edges of the larger 120-cell meet in cubic vertex figures of 24-cells in the smaller 120-cell. Two disjoint 5-cell tetrahedral vertex figures are inscribed in alternate positions in each 24-cell cubic vertex figure. The 24-cell edges of the smaller 120-cell are the 5-cell edges of the larger 120-cell, truncated at both ends. The distance between the two points of intersection on a {{radic|5}} chord is {{radic|1}}, the same length as the 41.4° chord. But the actual 41.4° chords of the 120-cell do not appear in this diagram at all, because they do not lie in the 200 irregular {12} dodecagon central planes. 

=== Bitruncating the 5-cells ===
The smaller concentric 120-cell can be built from 5-cell building blocks, by applying a specific kind of truncation operation to the blocks of the larger 120-cell called [[w:Bitruncation|''bitruncation'']]. This reveals a smaller irregular 4-polytope inside each 5-cell called the [[w:Bitruncated_5-cell|bitruncated 5-cell]]. The smaller unit-radius 120-cell is the convex hull of a compound of 20 disjoint (and 60 distinct) bitruncated 5-cells, bitruncated from the 120 disjoint 5-cells of the larger {{Radic|2}}-radius 120-cell. Bitruncation of the 120 disjoint 5-cells is the same truncation of the 120-cell described in the previous section, at the two golden section truncation points on each 104.5° 5-cell edge where two co-planar 5-cell edges intersect.

[[File:Truncatedtetrahedron.gif|thumb|A 12-point [[w:Truncated_tetrahedron|truncated tetrahedron]] cell of the 30-point 10-cell [[w:Bitruncated_5-cell|bitruncated 5-cell]].{{Sfn|Cyp: Truncated tetrahedron|2005}} Its edges are 41.4° chords of length 1 in a  {{radic|2}}-radius 120-cell (or length {{radic|1/2}} in a unit-radius 120-cell). The 120-cell contains 20 disjoint (60 distinct) bitruncated 5-cells, containing 600 distinct truncated tetrahedra.]]
The bitruncated 5-cell is a 30-vertex convex 4-polytope with 10 [[W:Truncated tetrahedron|truncated tetrahedron]] cells that have faces of two kinds: 4 triangle faces opposite 4 hexagon faces. The bitruncated 5-cell has 60 edges of the same length, 20 triangle faces, and 20 hexagon faces. Its 20 hexagon face planes are not [[24-cell#Great hexagons|24-cell central plane hexagons]]; they intersect each other at their edges, not at their long diameters. Its edges are not 60° 24-cell edge chords (the {{radic|2}} or 1 radius chords), but shorter 41.4° chords (of length 1 or {{radic|1/2}}), which do not appear at all in the diagram above, because they do not lie in the {12} central planes. The long diameter of the hexagon faces is not a 180° 120-cell long diameter chord (of length 2{{radic|2}} or 2) but a 90° 16-cell edge chord (of length 2 or {{radic|2}}). Consequently, three 16-cell tetrahedron cells (from three disjoint 16-cells) are inscribed in each truncated tetrahedron, at the three vertices of each face triangle.

The truncated tetrahedron cell is a truncation of a tetrahedron of the same size as the tetrahedral cells of the 120-cell's 5-cells. The four smaller tetrahedra truncated from the corners of the larger tetrahedron have edges which are 25.2° chords (of length 1/𝜙 or {{radic|0.19}}). The truncated tetrahedron edges (of length 1 or {{radic|1/2}}) are equal in length to the 41.4° center sections of the 104.5° 5-cell edge chords (of length {{radic|5}} or {{radic|5/2}}). The shorter diagonal of the hexagon faces is the 75.5° chord (of length {{radic|3}} or {{radic|1.5}}), which is the 180° complement of the 104.5° 5-cell edge chord. The dimensions of the truncated tetrahedron cell suggest that it was cut directly from a 5-cell tetrahedron cell, simply by cutting off the tetrahedron corners, but remarkably, that is not the case. The edges of the bitruncated 5-cell are not actually center sections of 5-cell edges, although they are exactly that length, because the edges of the bitruncated 5-cell do not lie in the same {12} central planes as the 5-cell edges. They are not colinear with 5-cell edges in any way, and only intersect 5-cell edges at vertices (the 5-cell edges' intersection points). Bitruncation of the 5-cells does ''not'' simply truncate each tetrahedron cell in place. By creating new edges which connect the intersection points of 5-cell edges, bitruncation does create 600 truncated tetrahedron cells perfectly sized to fit within the 600 original tetrahedron cells, but at new locations, not centered on an original 5-cell tetrahedron cell. These new locations lie on a smaller 3-sphere than the original locations.

[[File:Bitruncated_5-cell_net.png|thumb|Net of the bitruncated 5-cell honeycomb. 10 truncated tetrahedron cells alternately colored red and yellow.{{Sfn|Ruen: Net of the bitruncated 5-cell|2007}}]]
The 3-dimensional surface of each bitruncated 5-cell is a honeycomb of 10 truncated tetrahedron cells. The truncated tetrahedra are joined face-to-face in a 3-sphere-filling honeycomb (like the cells of any 4-polytope), at both their hexagon and triangle faces. Each hexagonal face of a cell is joined in complementary orientation to the neighboring cell. Three cells meet at each edge, which is shared by two hexagons and one triangle. Four cells meet at each vertex in a [[w:Tetragonal_disphenoid|tetragonal disphenoid]] vertex figure.

The 30-point bitruncated 5-cell is the convex common core (spatial [[w:Intersection|intersection]]) of six 5-point 5-cells in dual position. These six 5-cells are completely disjoint: they share no vertices, but their edges intersect orthogonally, at two points on each edge. Four 5-cell edges, from four of the six 5-cells, cross orthogonally in 30 places, the two intersection points on 60 5-cell edges: the 30 vertices of a bitruncated 5-cell. The six 5-cells are three dual pairs (in two different ways) of the self-dual 5-cell: six pairs of duals reciprocated at their common midsphere. Each dual pair intersects at just one of the two intersection points on each edge.{{Sfn|Klitzing|2025|loc=''sted'' (Stellated Decachoron)|ps=; [https://bendwavy.org/klitzing/incmats/sted.htm ''sted''] is the compound of two [https://bendwavy.org/klitzing/incmats/pen.htm ''pen'' (Pentachoron)] in dual position. Their intersection core (&quot;Admiral of the fleet&quot;) is [https://bendwavy.org/klitzing/incmats/deca.htm ''deca'' (decachoron aka bitruncated pentachoron)].}} 

We have seen these six 5-cells before, illustrated in ''[[User:Dc.samizdat/A symmetrical arrangement of eleven 11-cells#Eleven|§Eleven]]'' above; they are the compound of six completely disjoint 5-cells visited during each 5-cell's characteristic isoclinic rotation of period 15.{{Efn|1=The 5-cell edges of the six disjoint pentagrams in the {30/12}=6{5/2} triacontagram illustration do not appear to intersect, as the 5-cell edge chords of the bitruncated 5-cell compound are said to intersect. The {30/12}=6{5/2} projection is a perspective view from inside the curved 3-dimensional space of the 120-cell's surface, looking straight down a cylindrical column of six stacked 5-cells. None of the 5-cell edges intersect in that curved 3-space, except where they meet at the 30 120-cell vertices. The 60 5-cell edges do intersect orthogonally in 4-space, in groups of four, at 30 points which lie on a smaller 3-sphere than the 120-cell. None of those 4-space intersections are visible in these projections of points and lines on the 120-cell's 3-sphere surface.|name=5-cell edges do not intersect is S&lt;sup&gt;3&lt;/sup&gt;}} The six 5-cell compound is a stellated 4-polytope with 30 star-points, inscribed in the 120-cell.{{Efn|The stellated compound of six 5-cells in dual position is three pairs of 5-cells reciprocated at their common midsphere. It is composed of dual pairs of the [[W:Compound of five tetrahedra|compound of five tetrahedra]], which form the [[W:Compound of ten tetrahedra|compound of ten tetrahedra]]; its 30 tetrahedral cells are three such dual pairs. In the compound of five tetrahedra the edges of the tetrahedra do not intersect. In the compound of ten tetrahedra they intersect orthogonally, but not at their midpoints. Each edge has two points of intersection on it. The compound of ten tetrahedra is five pairs of dual tetrahedra reciprocated at their common midsphere. It is inscribed in a dodecahedron (its convex hull). Its ''stellation core'' is an icosahedron, but its ''common core'' where the tetrahedron edges intersect is a dodecahedron, the tetrahedrons' convex spatial intersection. The stellated compound of six 5-cells has the analogous property: it is inscribed in a bitruncated 5-cell (its convex hull), and its common core is a smaller bitruncated 5-cell. (Its stellation core is a [[W:Truncated 5-cell#Disphenoidal 30-cell|disphenoidal 30-cell]], its dual polytope.)|name=compound of six 5-cells}} It is 1/20th of the 600-point [[User:Dc.samizdat/A symmetrical arrangement of eleven 11-cells#How many building blocks, how many ways|great grand stellated 120-cell]], the compound of 120 5-cells. The convex hull of its 30 star-points is a bitruncated 5-cell. In this stellated compound of six 5-cells in dual position, the bitruncated 5-cell occurs in two places and two sizes: as both the convex hull, and the convex common core, of the six 5-cells. Inscribed in the larger 120-cell of radius {{radic|2}}, the convex hull of every six 5-cell compound is a bitruncated 5-cell with 60 edges of length 1. The convex common core of every six 5-cell compound is a bitruncated 5-cell with 60 edges of length {{radic|1/2}}, inscribed in the smaller 120-cell of radius 1.

In the 120-cell, 120 disjoint 5-cell building blocks combine in dual position groups of six related by the 5-cell's isoclinic rotation, to make 60 bitruncated 5-cells inscribed in the self-dual 5-cells' midsphere (at their edge intersections), and also 60 larger bitruncated 5-cells inscribed in the 120-cell, with each of the 600 vertices shared by three bitruncated 5-cells. The 120-cell is the convex hull of a compound of 20 disjoint (60 distinct) 30-point bitruncated 5-cells, generated by the characteristic rotation of its 120 completely disjoint 5-cells.{{Sfn|Klitzing|2025|loc= ''teppix'' (tripesic hexacosachoron)|ps=; ''[https://bendwavy.org/klitzing/incmats/teppix.htm teppix]'' is a compound of 60 [https://bendwavy.org/klitzing/incmats/deca.htm ''deca'' (decachoron aka bitruncated pentachoron)] with 3 ''deca'' sharing each vertex.}}{{Efn|In the 120-cell, 600 tetrahedron cells of 120 completely disjoint 5-cells intersect at two truncation points on each edge. Those 2400 truncation points are the vertices of 200 disjoint (and 600 distinct) truncated tetrahedra, which are the cells of 20 disjoint (and 60 distinct) bitruncated 5-cells. The 60 bitruncated 5-cells share vertices, but not edges, faces or cells. Each bitruncated 5-cell finds its 30 vertices at the 30 intersection points of 4 orthogonal 5-cell edges, belonging to 6 disjoint 5-cells, in the original 120-cell. Each bitruncated 5-cell vertex lies on an edge of 4 disjoint original 5-cells. Each bitruncated 5-cell edge touches intersection points on all 6 disjoint original 5-cells, and is shared by 3 truncated tetrahedra of just one bitruncated 5-cell.}}

In [[User:Dc.samizdat/A symmetrical arrangement of eleven 11-cells#Concentric 120-cells|the previous section]] we saw that the six 5-cell edges in each central plane intersect at the {6} vertices of the red hexagon, a great hexagon of a 24-cell. Each 5-cell edge, truncated at both ends at those intersection points, is a 24-cell edge of one of the 24-cells inscribed in a smaller 120-cell: the 600 intersection points. In this section we have seen how that truncation of 5-cell edges at both ends is the bitruncation of the 5-cell, and those 5-cell edges, truncated at both ends, are the same length as edges of bitruncated 5-cells inscribed in the original 120-cell. Bitruncating the {{radic|2}}-radius 120-cell's 120 5-cells reveals a smaller unit-radius 120-cell. The 24-cell edges of the smaller 120-cell are 5-cell edges of a larger-radius-by-{{radic|2}} 120-cell, truncated at both ends. Both 120-cells have 24-point 24-cells and 30-point bitruncated 5-cells inscribed in them. The 60° edge length of the 24-cells equals the radius; it is {{radic|2}} times the 41.4° edge length of the bitruncated 5-cells. The 60° 24-cell edges lie in the {12} central planes with the 5-cell edges and the 120-cell edges; but the 41.4° bitruncated 5-cell edges do not. The 120-cell contains 25 disjoint (225 distinct) 24-cells, and 20 disjoint (60 distinct) bitruncated 5-cells. Although regular 5-cells do not combine to form any ''regular'' 4-polytope smaller than the 120-cell, the 5-cells do combine to form bitruncated 5-cells which are subsumed in the 120-cell.{{Efn|Although only major chords occur in regular 4-polytopes smaller than the 120-cell, minor chords do occur in semi-regular 4-polytopes smaller than the 120-cell. Truncating the 5-cell creates minor chords, such as the 41.1° edges of the bitruncated 5-cell.}}

The 41.4° edge of the 30-point bitruncated 5-cell is also the triangle face edge we found in the 60-point central [[User:Dc.samizdat/A symmetrical arrangement of eleven 11-cells#The real hemi-icosahedron|section 8&lt;sub&gt;3&lt;/sub&gt; (Moxness's Hull #8) rhombicosidodecahedron]]. There are 60 distinct section 8&lt;sub&gt;3&lt;/sub&gt; rhombicosidodecahedra and 600 distinct truncated tetrahedron cells of 60 distinct (20 disjoint)  bitruncated 5-cells, and they share triangle faces, but little else. The truncated tetrahedron cells cannot be inscribed in the rhombicosidodecahedra, and the only chords they share are the 41.4° triangle edge and the 75.5° chord (the 180° complement of the 104.5° 5-cell edge chord).

The section 8&lt;sub&gt;3&lt;/sub&gt; rhombicosidodecahedron's 20 triangle faces lie over the centers of 20 larger-by-√2 5-cell faces, parallel to them and to a {12} central plane. The 5-cell faces are inscribed in the rhombicosidodecahedron, but are not edge-bound to each other; the 20 faces belong to 10 completely disjoint 5-cells. The 5-cell edges (but not the 5-cell faces) lie in {12} central planes; the 5-cell faces, the bitruncated 5-cell edges and their triangle and hexagon faces do not. Each section 8&lt;sub&gt;3&lt;/sub&gt; rhombicosidodecahedron is the intersection of ten {12} central planes, shared pairwise with ten other rhombicosidodecahedra; 11 rhombicosidodecahedra share ten {12} central planes pairwise, as cells of a 4-polytope share face planes pairwise. Each truncated tetrahedron cell of a bitruncated 5-cell shares none of the {12} central planes; it is the intersection of 6 great rectangles, with two parallel 41.1° edges lying in each, alternating with two parallel 138.6° chords (its hexagon face diameters). Each bitruncated 5-cell is the intersection of 30 great rectangle {4} central planes.

A truncated tetrahedron is face-bonded to the outside of each triangle face of a rhombicosidodecahedron. Three of its hexagon faces stand on the long edge of a rectangle face, perpendicular to the rectangle.

We find the 25.2° chord as the edge of the non-central section 6&lt;sub&gt;3&lt;/sub&gt; (Moxness's Hull #6) rhombicosidodecahedron. Those 120 semi-regular rhombicosidodecahedra have only that single edge (of length 1/𝜙 in a {{radic|2}}-radius 120-cell, or 1/𝜙{{radic|2}} in a unit-radius 120-cell). This edge length is in the golden ratio to the 41.4° edge of the 30-point bitruncated 5-cells, which is also the triangle face edge of the central section 8&lt;sub&gt;3&lt;/sub&gt; (Moxness's Hull #8) rhombicosidodecahedron. The 120 semi-regular section 6&lt;sub&gt;3&lt;/sub&gt; rhombicosidodecahedra share their smaller edges with 720 pentagonal prisms, 1200 hexagonal prisms and 600 truncated tetrahedron cells, in a semi-regular honeycomb of the 120-cell discovered by Alicia Boole Stott and described in her 1910 paper.{{Sfn|Boole Stott|1910|loc=Table of Polytopes in S&lt;sub&gt;4&lt;/sub&gt;|ps=; &lt;math&gt;e_2e_3C_{120}\ RID\ P_5\ P_6\ tT&lt;/math&gt;}} These truncated tetrahedra are 1/𝜙 smaller than the 600 cells of the bitruncated 5-cells.

The 60 distinct section 8&lt;sub&gt;3&lt;/sub&gt; rhombicosidodecahedra (Moxness's Hull #8) share pentagon faces. Each of the 120 dodecahedron cells lies just inside 12 distinct rhombicosidodecahedra which share its volume. Each rhombicosidodecahedron includes a ball of 13 dodecahedron cells, 12 around one at the center of the rhombicosidodecahedron, within its volume. The remainder of the rhombicosidodecahedron is filled by 30 dodecahedron cell fragments that fit into the concavities of the 13 cell ball of dodecahedra. These fragments have triangle and rectangle faces.

=== Rectifying the 16-cells ===
Bitruncation is not the only way to truncate a regular polytope, or even the simplest way. The simplest method of truncation is [[w:Rectification_(geometry)|''rectification'']], complete truncation at the midpoint of each edge.

Moreover, the 5-cell is not the only 120-cell building block we can truncate. We saw how bitruncation of the {{radic|2}}-radius 120-cell's 5-cells reveals the smaller unit-radius 120-cell, as the convex hull of a compound of 20 disjoint (60 distinct) bitruncated 5-cells. In the next paragraph we describe how rectification of the {{radic|2}}-radius 120-cell's 16-cells also reveals the smaller unit-radius 120-cell, as the convex hull of a compound of 25 disjoint (225 distinct) 24-cells. Those two operations on the 120-cell are equivalent. They are the same truncation of the 120-cell, which bitruncates 5-cells into bitruncated 5-cells, and also rectifies 16-cells into 24-cells. This single truncation of the 120-cell captures the distant relationship of 5-cell building blocks to 16-cell building blocks.

Rectifying a {{radic|2}}-radius 16-cell of edge 2 creates a unit-radius 24-cell of unit edge, which is the compound of three unit-radius 16-cells. Rectifying one of those inscribed unit-radius 16-cells of edge {{radic|2}} creates a smaller 24-cell of radius and edge {{radic|1/2}}, which is the [[24-cell#Relationships among interior polytopes|common core (intersection]]) of the unit 24-cell and its three inscribed 16-cells. Like the 120-cell itself, the 24-cell is concentric to a smaller instance of itself of {{radic|1/2}} its radius. The common core of each of the 24-cells inscribed in the 120-cell is the corresponding 24-cell in the smaller 120-cell.

=== Rectifying the 5-cells ===
In the previous section we bitruncated the 5-cells and rectified the 16-cells, as one combined truncation operation that yields a smaller 120-cell of {{radic|1/2}} the radius. We can also rectify the 5-cells; but that is another distinct truncation operation, that yields a smaller 4-polytope of {{radic|3/8}} the radius.

[[File:Great (12) chords of rectified 5-cell.png|thumb|400px|5-cell edge chords of the radius {{radic|2}} 120-cell in one of its 200 irregular {12} dodecagon central planes. The {6} bitruncation points (two on each of the 104.5° {{radic|5}} 5-cell edges) lie on a smaller 120-cell of radius 1 (the red circle); they are bitruncated 5-cell vertices. The {6} rectification points (at the midpoints of the 5-cell edges) lie on a still smaller 1200-point 4-polytope of radius {{radic|0.75}} ≈ 0.866 (the magenta circle); they are rectified 5-cell vertices.]]
Rectifying the 5-cell creates the 10-point 10-cell semi-regular [[W:Rectified 5-cell|rectified 5-cell]], with 5 tetrahedral cells and 5 octahedral cells. It has 30 edges and 30 equilateral triangle faces. The 3-dimensional surface of the rectified 5-cell is an alternating [[W:Tetrahedral-octahedral honeycomb|tetrahedral-octahedral honeycomb]] of just 5 tetrahedra and 5 octahedra, tessellating the 3-sphere. Its vertex figure is the cuboctahedron.

The rectified 5-cell is a [[w:Blind_polytope|Blind polytope]], because it is convex with only regular facets. It is a bistratic lace tower which has exactly three vertex layers with the same Coxeter symmetry, aligned on top of each other.{{Sfn|Klitzing|2025|loc=''[https://bendwavy.org/klitzing/incmats/rap.htm rap (rectified pentachoron)]''}}

If the 120 5-cells in a radius {{radic|2}} 120-cell are rectified, the rectified 5-cells lie on a smaller 4-polytope of radius {{radic|3/4}} (the magenta circle in the diagram), inscribed at the 1200 midedges of the 5-cells.{{Efn|{{radic|3/4}} ≈ 0.866 is the long radius of the {{radic|2}}-edge regular tetrahedron (the ''unit-radius'' 16-cell's cell). Those four tetrahedron radii are not orthogonal, and they radiate symmetrically compressed into 3 dimensions (not 4). The four orthogonal {{radic|3/4}} ≈ 0.866 displacements summing to a 120° degree displacement in the unit-radius 24-cell's characteristic isoclinic rotation{{Efn|name=isoclinic 4-dimensional diagonal}} are not as easy to visualize as radii, but they can be imagined as successive orthogonal steps in a path extending in all 4 dimensions, along the orthogonal edges of the [[24-cell#Characteristic orthoscheme|24-cell's 4-orthoscheme]]. In an actual left (or right) isoclinic rotation the four orthogonal {{radic|3/4}} ≈ 0.866 steps of each 120° displacement are concurrent, not successive, so they ''are'' actually symmetrical radii in 4 dimensions. In fact they are four orthogonal [[24-cell#Characteristic orthoscheme|mid-edge radii of a unit-radius 24-cell]] centered at the rotating vertex. Finally, in 2 dimensional units, {{radic|3/4}} ≈ 0.866 is the ''area'' of the equilateral triangle face of the unit-edge, unit-radius 24-cell.|name=root 3/4}} This smaller 4-polytope is not a smaller 120-cell; it is the convex hull of a 1200-point compound of two 120-cells. The rectified 5-cell does not occur inscribed in the 120-cell; it only occurs in this compound of two 120-cells,  240 regular 5-cells, and 120 rectified 5-cells. The rectified 5-cell with its 80.4° edge chord does not occur anywhere in a single 120-cell, so the rectified 5-cell's edges are not the edges of any polytope found in the 120-cell. The rectified 5-cell's significance to the 120-cell is well-hidden, but we shall see that it has an indirect role as a building block of the 11-cells in the 120-cell.

Each 10-point rectified 5-cell is the convex hull of a stellated compound of two completely orthogonal 5-point 5-cells: five pairs of antipodal vertices. Their edges intersect at the midedge, and they are ''not'' in dual position (not reciprocated at their common 3-sphere). In this stellated compound of two completely orthogonal 5-cells (which does not occur in the 120-cell), the rectified 5-cell occurs in two places and two sizes: as both the convex hull of the vertices, and the convex common core of the midedge intersections.

The edge length of the rectified 5-cells in the smaller 1200-point 4-polytope of radius {{radic|3/4}} is {{radic|5/4}}. The edge length of a unit-radius rectified 5-cell is {{radic|5/3}}. The rectified 5-cell is characterized by the ratio between its edge and its radius, {{radic|5}} to {{radic|3}}, the way the regular 5-cell is characterized by the ratio {{radic|5}} to {{radic|2}}. In the 120-cell of radius {{radic|2}}, the 104.5° {{radic|5}} chord is the 5-cell edge, and the 75.5° {{radic|3}} chord is the distance between two parallel 5-cell edges (belonging to two disjoint 5-cells). The 104.5° and 75.5° chords are 180° complements, so they form great rectangles in the {12} central planes of the 120-cell (the red rectangles in the diagram). In the 1200-point compound of two 120-cells of radius {{radic|3}} where 120 rectified 5-cells occur, the {{radic|3}} chord is the ''radius'' (not the 75.5° chord), and the {{radic|5}} chord is the ''rectified'' 5-cell edge of arc 80.4° (not the 104.5° regular 5-cell edge).

=== Truncating the 5-cells ===
[[File:Great (12) chords of unit thirds radius.png|thumb|400px|Truncating the 120-cell's 5-cells at ''one-third'' of their edge length produces a smaller 120-cell of ''one-half'' the radius, with vertices at {6} one-third intersection points of the 120° {{Radic|6}} chords (''not'' of the 104.5° {{Radic|5}} 5-cell edge chords). The green {6} hexagon is a 24-cell great hexagon in the resulting smaller-by-one-half 1200-point 4-polytopes. Because there are {12} such intersection points in each {12} central plane, there are two chiral ways to perform this truncation, which produce disjoint 1200-point 4-polytopes.]]
A third simple way to truncate the 5-cell is at one-third of its edge length. This truncation of the 5-cell creates a 20-point, 10-cell semi-regular 4-polytope, known somewhat ambiguously as ''the'' [[w:Truncated_5-cell|truncated 5-cell]], with 5 truncated tetrahedron cells (like the bitruncated 5-cell's), and 5 regular tetrahedron cells (like the rectified 5-cell's).

The 3-dimensional surface of the truncated 5-cell is an alternating honeycomb of 5 truncated tetrahedra and 5 regular tetrahedra. It resembles the smaller rectified 5-cell with truncated tetrahedra instead of octahedra, or the larger bitruncated 5-cell with half its truncated tetrahedra replaced by regular tetrahedra. 

When the regular 5-cell is truncated at ''one-third'' of its edge length, the radius and edge length of the the resulting truncated 5-cell are ''one-half'' the regular 5-cell's radius and edge length. When the 120 5-cells in a 120-cell of radius 2 are truncated at one-third of their edge length, the truncated 5-cells lie on a smaller 120-cell of radius 1. The edge length of the unit-radius truncated 5-cell is {{radic|5/8}}, one-half the unit-radius 5-cell's edge length of {{radic|5/2}}. The rectified 5-cell is characterized by the ratio between its edge and its radius, {{radic|5}} to {{radic|8}}, the way the regular 5-cell is characterized by the ratio {{radic|5}} to {{radic|2}}, and the rectified 5-cell is characterized by the ratio {{radic|5}} to {{radic|3}}.

The 20-point truncated 5-cell is the convex common core of a stellated compound of four 5-cells (the four 5-cells' spatial intersection). The convex common core has half the radius of the convex hull of the compound. The four 5-cells are orthogonal (aligned on the four orthogonal axes), but none of their 20 vertices are antipodal. The 5-cells are ''not'' in dual position (not reciprocated at their common 3-sphere). The 5-cell edges do ''not'' intersect, but truncating the 120-cell's 5-cell edge chords at their one-third points truncates the 120-cell's other chords similarly. It is the 120-cell's 120° chords (of length {{Radic|6}} in a {{Radic|2}}-radius 120-cell, or {{Radic|3}} in a unit-radius 120-cell) which intersect each other at their one-third points. Four edges (one from each 5-cell) intersect orthogonally at just ''one'' of the two one-third intersection points on each of the 2400 120° chords that join vertices of two disjoint 5-cells. There are two chiral ways to perform this truncation of the 120-cell; they use the alternate intersection points on each edge, and produce disjoint 600-point 120-cells. 

The 52.25° edge chord of the truncated 5-cell (one-half the 5-cell's 104.5° edge chord) is not among the [[120-cell#Chords|chords of the 120-cell]], so the truncated 5-cell does not occur inscribed in the 120-cell; it occurs only in a compound of four 120-cells, and 480 regular 5-cells, and 120 truncated 5-cells. In the stellated compound of four orthogonal 5-cells (which does not occur in the 120-cell), the truncated 5-cell occurs in two places and two sizes: as both the convex hull of the 20 vertices, and the convex common core (of half the radius of the convex hull) of the 20 intersection points of four orthogonal 120° chords.

== The perfection of Fuller's cyclic design ==
[[File:Jessen's unit-inscribed-cube dimensions.png|thumb|400px|Jessen's icosahedron on the 2-sphere of diameter {{radic|5}} has an inscribed unit-cube. It has 4 orthogonal axes (not shown) through the equilateral face centers (the inscribed cube's vertices), 6 non-orthogonal {{radic|5}} long diameter axes, and 3 orthogonal parallel pairs of {{radic|4}} reflex edges, {{radic|1}} apart.]]

This section is not an historical digression, but a deep dive to the heart of the matter, like Coxeter on Todd's perfect pentads. In this case the heart is found in the [[Kinematics of the cuboctahedron|kinematics of the cuboctahedron]],{{Sfn|Christie|2022|loc=''[[Kinematics of the cuboctahedron|Kinematics of the cuboctahedron]]''}} first described by [[W:Buckminster Fuller|Buckminster Fuller]].{{Sfn|Christie: On Fuller's use of language|2024|loc=''[[W:User:Dc.samizdat#Bucky Fuller and the languages of geometry|Bucky Fuller and the languages of geometry]]''}}

After inventing the rigid geodesic dome, Fuller studied a family of domes which have no continuous compression skeleton, but only disjoint rigid beams joined by tension cables. Fuller called these envelopes ''tension integrity structures'', because they possess independent tension and compression elements, but no elements which do both. One of the simplest [[w:Tensegrity|tensegrity]] structures is the [[w:Tensegrity#Tensegrity_icosahedra|tensegrity icosahedron]], first described by [[W:Kenneth Snelson|Kenneth Snelson]], a master student of Fuller's.{{Efn|Fuller failed to credit [[W:Kenneth Snelson|Snelson]] for the first ascent of the tensegrity icosahedron, a sad lapse for a great educator, as if Coxeter had not gracefully acknowleged Grünbaum. Snelson taught it to Fuller, his teacher, at a Black Mountain College summer session&lt;ref&gt;{{Citation|year=1949|title=R. Buckminster Fuller|publisher=Museum and Arts Center, 1948-1949|place=Black Mountain College|url=https://www.blackmountaincollege.org/buckminster-fuller}}&lt;/ref&gt; where Fuller taught the geodesic domes he had invented, and the nascent principles of tension integrity geodesics he was exploring. It would have burnished Fuller's own reputation to gratefully acknowledge his exceptionally quick student's discovery. No doubt Fuller was about to discover the tensegrity icosahedron himself, but Snelson saw it first.&lt;ref&gt;{{Citation|last=Snelson|first=Kenneth|author-link=W:Kenneth Snelson|publisher=Stanford University|title=Bucky Conversations: Conversations on the Life and Work of an Enigmatic Genius|year=2003|url=https://searchworks.stanford.edu/view/mf245gr4637|postscript=; Ken Snelson, at a symposium on Fuller's legacy, acknowledged that Fuller led him up to the tensegrity icosahedron. Snelson said that he then conceived it on his own, built the first physical model, and presented it to Fuller.}}&lt;/ref&gt;|name=Snelson and Fuller}}

A tensegrity icosahedron is an icosahedral geodesic sphere whose 6 orthogonal reflex compression struts float gently in space, linked only by 24 tension cables which frame equilateral faces of the icosahedron, the whole 2-sphere expanding and contracting symmetrically with ''infinitesimal mobility'', a spring-like symmetrical motion leveraged from whatever tiny amount of elasticity remains in the steel struts and cables.

The polyhedron that is the basis for this flexible structure is the Jessen's icosahedron, that we found 10 of in Moxness's Hull #8 rhombicosidodecahedron, the real cell of the 11-cell. The Jessen's was named by [[w:Adrien_Douady|Douady]] the ''six-beaked shaddock'' because it resembles the fish whose normal affect is with their mouth 90° open, but a cubical shadfish with mouths on all six sides. At the limits, the gender neutral shad can open their six beaks all the way, until they become flat squares and they becomes a cuboctahedron, or they can shut them all tight like a turtle retracting into their octahedron shell. The six mouths always move in unison. This is [[Kinematics of the cuboctahedron#Jitterbug transformations|Fuller's ''jitterbug'' transformation]] of the 12-point ''vector equilibrium'', his name for the unstable [[Kinematics of the cuboctahedron|kinematically flexing cuboctahedron]]. Fuller found that its always-symmetric transformation through 4 distinct forms of the same 12-vertex polyhedron was a closed cycle with two equilibrium points, one stable and the other unstable. The shad's normal 90° open visage is the stable point, the shape the [[Kinematics_of_the_cuboctahedron#Elastic-edge transformation|elastic tensegrity icosahedron]] rests in and strives to return to. The widest-open square-faced cuboctahedron is the unstable inflection point, where the shad gets to decide non-deterministically (that is, without being compelled one way or the other) whether or not to do their ''really'' odd trick -- where they flip their 6 jaws 90 degrees in their 6 faces and shut their 6 beaks on the opposite axis of their squares than the one they opened them on -- or whether they will just shut them all the same way again. Interestingly, the regular icosahedron is one of the shad's guises too, just slightly more gaping than their normal visage. Fuller made a meal of the shad, finding all the insightful things to say about the kinematics of the only fish who can make their edge length exactly the same size as their radius, when they open their mouths all the way. Fuller built physical models of the 12-point vector equilibrium, and even gave demonstrations to audiences of the flexible shad, opening and closing their mouths in spherical synchrony, their 4 pairs of opposite equilateral triangles spiraling toward and away from each other in parallel, always opposed like the two triangles inscribed in a hexagon, counter-rotating like dual [[W:Propellor|tri-propellors]] as they dance toward each other until their edges meet in an octahedron (a hexad), then backing away again while still rotating in the same directions. All this was overlaid with Fuller's own deep commentary, in physical language anyone can understand. Bucky flew the shad through the inflection points in its [[W:Spinor|spinor]] orbit, explaining its [[W:Möbius_loop|Möbius loop]] with vivid apt similes like trimming a submarine's ballast tanks, stalling an airplane at apogee, and nature's abhorrence of the unstable equilibrium point.{{Sfn|Fuller|1975|ps=; In this film Fuller carefully folds a model of the cuboctahedron made of rigid struts with flexible joints through the entire transformation cycle; he also shows how a rigid regular icosahedron can be rotated inside an inscribing &quot;vector edge cube&quot; (a cube with an octahedron inscribed in it), keeping the 12 vertices on the surface of the cube (and on the edges of the octahedron inscribed in the cube) at all times.}}

Earlier, we noticed 10 Jessen's inscribed in each 60-point rhombicosidodecahedron central section of the 120-cell (each real hemi-icosahedron). Each rhombicosidodecahedron is a compound of 5 disjoint Jessen's, in two different ways, just the way the 120-cell is a compound of 5 disjoint 600-cells, in two different ways. In the rhombicosidodecahedron each regular icosahedron vertex has been replaced by the five vertices of a little pentagon face (a 120-cell face), and the regular icosahedron has been replaced by 5 disjoint (10 distinct) Jessen's icosahedra.{{Efn|name=compound of 5 cuboctahedra}} The 3 pairs of parallel 5-cell edges in each Jessen's lie a bit uncertainly, infinitesimally mobile and [[Kinematics of the cuboctahedron#Elastic-edge transformation|behaving like the struts of a tensegrity icosahedron]], so we can push any parallel pair of them apart or together infinitesimally, making each Jessen's icosahedron expand or contract infinitesimally. All 600 Jessen's, all 60 rhombicosidodecahedra, and the 120-cell itself expand or contract infinitesimally, together.{{Efn|name=tensegrity 120-cell}} Expansion and contraction are Boole Stott's operators of dimensional analogy, and that infinitesimal mobility is the infinite calculus of an inter-dimensional symmetry.  

The Jessen's unique element set is its 6 long reflex edges, which occur in 3 parallel opposing pairs. Each pair lies in its own central plane, and the 3 central planes are the orthogonal central planes of the octahedron, the orthonormal (x,y), (y,z), and (x,z) planes of a Cartesian basis frame. The 6 reflex edges are all disjoint from one another, but each pair of them forms a merely conceptual great rectangle with the pair of invisible exterior chords that lies in the same central plane. These three great rectangles are storied elements in topology, the [[w:Borromean_rings|Borromean rings]]. They are three rectangular chain links that pass through each other and would not be separated even if all the other cables in the tensegrity icosahedron were cut; it would fall flat but not apart, provided of course that it had those 6 invisible exterior chords as still uncut cables.

[[File:Jessen's √2 radius dimensions.png|thumb|400px|Moxness's 60-point section 8&lt;sub&gt;3&lt;/sub&gt; rhombicosidodecahedron is a compound of 5 of this 12-point Jessen's icosahedron, shown here in a {{radic|2}}-radius 3-sphere with {{radic|5}} reflex edges. It has an inscribed {{radic|1.5}} green cube, and its 8 equilateral triangle faces are 24-cell faces. This is a ''vertex figure'' of the 120-cell. The center point is also a vertex of the 120-cell.]]
As a matter of convenience in this paper, we have used {{radic|2}}-radius metrics for 3-sphere polytopes, so e.g. the 5-cell edge is {{radic|5}}, where in unit-radius coordinates it would be {{Radic|5/2}}. Here we give two illustrations of the Jessen's using two different metrics: the 2-sphere Jessen's has a {{radic|5}} diameter, and the 3-sphere Jessen's has a {{radic|2}} radius. This reveals a curiously cyclic way in which our 2-sphere and 3-sphere metrics correspond. In the embedding into 4-space the characteristic root factors of the Jessen's seem to have moved around. In particular, the {{radic|5}} chord has moved to the former {{radic|4}} chord.

We might have expected to find the 6-point hemi-icosahedron's 5-cell triangular faces identified with the Jessen's 8 equilateral triangle faces somehow, but they are not the same size, so that is not the way the two polytopes are identified. The {{radic|5}} reflex edges of the Jessen's are the 5-cell edges. A 5-cell face has its three {{radic|5}} edges in three different Jessen's icosahedra.

The Jessen's is not a cell, but one of the 120-cell's vertex figures, like the [[600-cell#Icosahedra|120 regular icosahedron vertex figures in the 600-cell]]. That is why we find 600 Jessen's, of course. The center point in this Jessen's illustration is another ''vertex'' of the 120-cell, not the empty center of a cell.{{Efn|The 13 vertices of the illustration which include its center point lie in the curved 3-space of the 3-sphere, on the 120-cell's surface. In 4-space, this object is an [[W:Icosahedral pyramid|icosahedral pyramid]] with a Jessen's icosahedron as its base, and the apical center vertex as its apex. The center point in the illustration is a vertex of the 120-cell, and the center of the curved Jessen's, and the apex of the icosahedral pyramid, but it is not the center point in 4-space of a flat 3-dimensional Jessen's icosahedron. The center point of the base Jessen's icosahedron is a point inside the 120-cell, not a 120-cell vertex on its surface. It lies in the same 3-dimensional flat-slice hyperplane as the 12 vertices of the base Jessen's icosahedron, directly below the 13th 120-cell vertex.}} 

Each Jessen's includes the central apex vertex, {{radic|2}} radii, {{radic|2}} edges and {{radic|5}} chords of a vertex figure around the 120-cell vertex at its center. The {{radic|2}} face edges are 24-cell edges (also tesseract edges), and the inscribed green cube is the 24-cell's cube vertex figure. The 8 {{radic|2}} face triangles occur in 8 distinct 24-cells that meet at the apex vertex.{{Efn|Eight 24-cells meet at each vertex of a [[24-cell#Radially equilateral honeycomb|honeycomb of 24-cells]]: each one meets its opposite at that shared vertex, and the six others at a shared octahedral cell.{{Efn|In the 600-cell, which contains [[600-cell#Twenty-five 24-cells|25 24-cells]], 5 24-cells meet at each vertex. Each pair of 24-cells at the vertex meets at one of 200 distinct great hexagon central planes. Each 24-cell shares one of its great hexagons with 16 other 24-cells, and is completely disjoint from 8 other 24-cells. In the 120-cell, which contains 10 600-cells (5 disjoint 600-cells two different ways) and 225 24-cells (25 disjoint 24-cells), 8 24-cells meet at each vertex. Each 24-cell shares one of its great hexagons with 16 other 24-cells, and is completely disjoint from 208 other 24-cells. But since in the 120-cell the great hexagons lie in pairs in one of 200 {12} central planes (containing 400 great hexagons), each 24-cell shares one of its {12} central ''planes'' with .. other 24-cells.}}}} This Jessen's vertex figure includes 5-cell edges and 24-cell edges (which are also tesseract edges), so it is descriptive of the relationship between those regular 4-polytopes, but it does not include any 120-cell edges or 600-cell edges, so it has nothing to say, by itself, about the &lt;math&gt;H_4&lt;/math&gt; polytopes. It is only a tiny fraction of the 120-cell's full vertex figure, which is a staggeringly complex star: 600 chords of 30 distinct lengths meet at each of the 600 vertices.

The {{radic|5}} chords are 5-cell edges, connecting vertices in different 24-cells. The 3 pairs of parallel 5-cell edges in each Jessen's lie in 3 orthogonal planes embedded in 4-space, so somewhere there must be a 4th pair of parallel 5-cell edges orthogonal to all of them, in fact three more orthogonal pairs, since 6 orthogonal planes (not just 4) intersect at a point in 4-space. The Jessen's situation is that it lies completely orthogonal to another Jessen's, the vertex figure of the antipodal vertex, and its 3 orthogonal planes (xy, yz, zx) lie completely orthogonal to its antipodal Jessen's planes (wz, wx, wy).{{Efn|name=Six orthogonal planes of the Cartesian basis}} These 6 pairs of parallel 5-cell edges form a 24-point 4-polytope, composed of two completely orthogonal 12-point Jessen's, inscribed in two completely orthogonal rhombicosidodecahedra. This 24-point 4-polytope is not a 24-cell: the 24-cell is not a compound of two 12-point Jessen's. But it turns out that two completely orthogonal 12-point Jessen's indirectly define a 24-point 24-cell. We shall see that their 4-space intersection is a 24-cell.

This finding, of two completely orthogonal 12-point Jessen's isomorphic to a 24-cell, brings Fuller's study of [[w:Tesseract#Radial_equilateral_symmetry|radially equilateral]] vector equilibrium polytopes to its completion in the 24-cell. Fuller began with the hexagon, the 6-point vector equilibrium in 2 dimensions, the only polygon with its radius equal to its edge length. He studied the cuboctahedron, the 12-point vector equilibrium in 3 dimensions, the only polyhedron with its radius equal to its edge length, in all its flexible guises. He discovered its stable equilibrium as the the Jessen's shadfish, with its cube of 6 open mouths and 90° dihedral angles between all its faces, the geometric center of [[WikiJournal Preprints/Kinematics of the cuboctahedron|the cuboctahedron's kinematic transformation]] through the regular polyhedra: tetrahedron, octahedron, Jessen's, regular icosahedron, and cuboctahedron. Fuller's study of kinematic Euclidean geometry did not reach the 4-polytopes, and the ultimate 24-point vector equilibrium in 4 dimensions, the 24-cell, the unique &lt;math&gt;F_4&lt;/math&gt; symmetry found only in 4 dimensions. But Fuller led us up to it, through the kinematics of infinitesimal mobility, and that route to it is our clue to the infinite calculus of dimensional expansion and contraction.

We observe this geometry, of two completely orthogonal 12-point Jessen's isomorphic to a 24-cell, only in the 120-cell. The 600-cell contains 12-point Jessen's, but no completely orthogonal pairs of them. The 24-cell individually, and the 25 24-cells in the 600-cell, are not occupied by a pair of 12-point Jessen's. The 24-point 24-cell is not, in fact, a compound of two 12-point Jessen's. While the 120-cell's ratio of disjoint 12-point Jessen's to disjoint 24-point 24-cells is &lt;math&gt;50/25 = 2/1&lt;/math&gt;, the ratio of distinct 12-point Jessen's to distinct 24-point 24-cells is &lt;math&gt;600/225 = 8/3 &lt;/math&gt;.

We observe another geometry, of 24-cells in dual positions, only in the 120-cell. No two 24-cells in the 600-cell are in dual positions, but in the 120-cell with 225 distinct 24-cells (25 disjoint 24-cells), every 24-cell is in dual position to other 24-cells. The 24-cell is self-dual, and when two 24-cells of the same radius are in dual position, they are completely disjoint with respect to vertices, but they intersect at the midpoints of their 96 orthogonal edges. Since four orthogonal lines intersect at a point in 4-space, in addition to the midedge radius and the two intersecting edges there is a third intersecting edge through each point of contact: ''three'' 24-cells lie in dual positions to each other, with their orthogonal edges intersecting. Three ''pairs'' of 24-cells lie in orthogonal dual positions to each other, sharing no vertices, but the same 96 midedge points.

We also observe this geometry, of 24-cells in dual positions, in the irregular {12} dodecagon central planes, which have two inscribed great {6} hexagons, offset from each other irregularly by a 15.5° arc on one side (a 120-cell edge chord) and a 44.5° arc on the other side. The 600-cell and the 24-cell contain only great {6} hexagon planes. The two inscribed great {6} hexagons in each {12} central plane belong to a pair of 24-cells in dual position.

We observe inscribed 5-cells only in the 120-cell. The 600-cell has &lt;math&gt;5^2 = 25&lt;/math&gt; distinct 24-cells inscribed in 120 vertices, and is a regular compound of &lt;math&gt;5&lt;/math&gt; disjoint 24-cells in 10 different ways, but it has no inscribed 5-point 5-cells joining corresponding vertices of 5 of its 25 24-cells.{{Efn|The 600-cell does have inscribed 5-point great pentagons joining corresponding vertices of 5 of its 25 24-cells. The 600-cell has 2-dimensional pentads, but only the 120-cell has 4-dimensional pentads.}} The 120-cell has &lt;math&gt;5^2 \times 3^2 = 225&lt;/math&gt; distinct 24-cells inscribed in 600 vertices, and is a regular compound of &lt;math&gt;5^2 = 25&lt;/math&gt; disjoint 24-point 24-cells in 10 different ways, and it has 120 inscribed 5-cells joining corresponding vertices of 5 of its 225 24-cells.

[[File:Great 5-cell √5 digons rectangle.png|thumb|400px|Three {{radic|5}} x {{radic|3}} rectangles (red) are found in 200 central planes of the radius {{radic|2}} 120-cell, and in its 600 Jessen's icosahedra, where 3 orthogonal rectangles comprise each 12-point Jessen's. Each central plane intersects {12} vertices in an irregular great dodecagon. These are the same 200 dodecagon central planes illustrated above, which also contain 6 120-cell edges (solid red), which form two opposing ''irregular'' great hexagons (truncated triangles) with the {{radic|5}} chords. The {12} central planes also contain four {{radic|6}} great triangles (green), inscribed in two {{radic|2}} ''regular'' great hexagons. 1200 smaller {{radic|5}} 5-cell ''face'' triangles (blue) occupy 600 other, non-central planes.]]
The Jessen's eight {{radic|6}} triangle faces lie in eight great {6} hexagons in eight {12} central planes of the 120-cell. The Jessen's {{radic|5}} chords lie in great {4} rectangles ({{radic|5}} by {{radic|3}}) in orthogonal central planes of the Jessen's. These are ''also'' {12} central planes of the 120-cell. We can pick out the {{radic|5}} by {{radic|3}} rectangles in the {12} central plane chord diagrams (bounded by red dashed lines). The Jessen's vertex figure is bounded by eight {12} face planes, and divided by six orthogonal {12} central planes, and all 14 planes are {12} central planes of the 120-cell.

The 5-cells' ''face'' planes are ''not'' central planes of the 120-cell. Recall that 10 distinct Jessen's are inscribed in each rhombicosidodecahedron, as two chiral sets of 5 completely disjoint Jessen's, such that two {{radic|5}} 5-cell edges meet at each vertex of the rhombicosidodecahedron. These are two of the four 5-cell edges that meet at each vertex of the 5-cell: edges of a 5-cell face, 20 of which are disjointly inscribed in each rhombicosidodecahedron. In each Jessen's the 6 {{radic|5}} reflex edges are disjoint, and in each rhombicosidodecahedron only two edges meet at each vertex, but in the 120-cell each {{radic|5}} chord meets three others, that lie in three other Jessen's. Each 5-cell face triangle has each edge in a distinct Jessen's, but the face triangle lies in just one rhombicosidodecahedron. The 1200 5-cell face triangles lie in opposing pairs, in one of 600 ''non-central'' hexagon ''face'' planes.

Each of the 60 rhombicosidodecahedra is a compound of 10 Jessen's (5 disjoint Jessen's in two different ways), just the way the 120-cell is a compound of 10 600-cells (5 disjoint 600-cells in two different ways), and the 120-cell's dodecahedron cell is a compound of 10 600-cell tetrahedron cells (5 disjoint tetrahedra in two different ways).

The 600 Jessen's in the 120-cell occur in bundles of 8 disjoint Jessen's, in 4 completely orthogonal pairs, each pair aligned with one of the four axes of the Cartesian coordinate system. Collectively they comprise 3 disjoint 24-cells in orthogonal dual position. They are [[24-cell#Clifford parallel polytopes|Clifford parallel 4-polytopes]], 3 completely disjoint 24-cells 90° apart, and two sets of 4 completely disjoint Jessen's 15.5° apart.

Opposite triangle faces in a Jessen's occupy opposing positions in opposite great hexagons. In contrast, the two completely orthogonal Jessen's are completely disjoint, with completely orthogonal bounding planes that intersect only at one point, the center of the 120-cell. The corresponding {{radic|6}} triangle faces of two completely orthogonal Jessen's occupy completely orthogonal {12} central planes that share no vertices.

If we look again at a single Jessen's, without considering its completely orthogonal twin, we see that it has 3 orthogonal axes, each the rotation axis of a plane of rotation that one of its Borromean rectangles lies in. Because this 12-point (tensegrity icosahedron) Jessen's lies in 4-space, it also has a 4th axis, and by symmetry that axis too must be orthogonal to 4 vertices in the shape of a Borromean rectangle: 4 additional vertices. We see that the 12-point (vertex figure) Jessen's is part of a 16-point (8-cell) tesseract containing 4 orthogonal Borromean rings (not just 3), which should not be surprising since we already found it was part of a 24-point (24-cell) 4-polytope, which contains 3 16-point (8-cell) tesseracts. Each 12-point (6 {{radic|5}} reflex edge) Jessen's is one of 10 concentric Jessen's in a rhombicosidodecahedron, two sets of 5 disjoint Jessen's rotated with respect to each other isoclinically by 12° x 12° = 15.5°, with a total of 60 disjoint {{radic|5}} edges. Each 12-point (24 {{radic|6}} edge) Jessen's is one of 8 concentric Jessen's in two 24-cells in dual positions, rotated with respect to each other isoclinically by 41.4° x 41.4° = 90°, with a total of 192 {{radic|6}} edges.{{Efn|There are 96 {{radic|6}} chords in each 24-cell, linking every other vertex under its 96 {{radic|2}} edges.}} The 24-point 24-cell has 4 Hopf fibrations of 4 hexagonal great circle fibers, so it is a complex of 16 great hexagons, generally not orthogonal to each other, but containing 3 sets of 4 orthogonal great hexagons. Three Borromean link great rectangles are inscribed in each great hexagon, and three tesseracts are inscribed in each 24-cell. Four of the 6 orthogonal [[w:Borromean_rings|Borromean link]] great rectangles in each completely orthogonal pair of Jessen's are inscribed in each tesseract.

== Conclusion ==

Thus we see what the 11-cell really is: an unexpected seventh regular convex 4-polytope falling between the 600-cell and 120-cell, a quasi-regular compound of 600-cell and 5-cell (an icosahedron-tetrahedron analogue), as the 24-cell is an unexpected sixth regular convex polytope falling between the 8-cell and 600-cell, a quasi-regular compound of 8-cell and 16-cell (a cube-octahedron analogue). Like the 5-cell, the 11-cell is a far-side 4-polytope with its long edges spanning the near and far halves of the 3-sphere. Unlike the 5-cell, the 11-cell's left and right rotational instances are not the same object: they have distinct cell polyhedra, which are duals. The 11-cell is a real regular convex 4-polytope, not just an [[W:abstract polytope|abstract 4-polytope]], but not just a singleton regular convex 4-polytope, and not just a single kind of cell honeycomb on the 3-sphere.{{Sfn|Coxeter|1970|loc=''Twisted Honeycombs''}} Though it is all those things singly, it never occurs singly, but its multiple instances in the 120-cell compound to all those things, and significantly more.

The 11-cell (singular) is the 11-vertex (17 cell) non-uniform Blind 4-polytope, with 11 non-uniform [[W:Rhombicosidodecahedron|rhombicosidodecahedron]] cells. The abstract regular 11-point (11-cell) has a realization in Euclidean 4-space as this convex 4-polytope, with regular facets and regular triangle faces.

The 11-cell (plural) is subsumed in the 120-cell, as all the regular convex 4-polytopes are. The compound of eleven 11-cells (the ..-cell) and Schoute's compound of five 24-cells (the 600-cell) is the quasi-regular 137-point (..-cell) 4-polytope, an object of further study.

The 11-cells' realization in the 120-cell as 600 12-point (Legendre vertex figures) captures precisely the geometric relationship between the regular 5-cell and 16-cell (4-simplex and 4-orthoplex), which are both inscribed in the 11-point (17-cell), 137-point (..-cell) and 600-point (120-cell), but are so distantly related to each other that they are not found together anywhere else. More generally, the 11-cells capture the geometric relationship between the regular ''n''-polytopes of different ''n''.

The symmetry groups of all the regular 4-polytopes are expressed in the 11-cells, paired in a special way with their analogous 3-symmetry groups. It is not simple to state exactly what relates 3-symmetry groups to 4-symmetry groups (there is Dechant's induction theorem),{{Sfn|Dechant|2021|loc=''Clifford Spinors and Root System Induction: H4 and the Grand Antiprism''}} but the 11-cells seem to be the expression of their dimensional analogies.

== Build with the blocks ==

&lt;blockquote&gt;&quot;The best of truths is of no use unless it has become one's most personal inner experience.&quot;{{Sfn|Duveneck|1978|loc=Carl Jung, quoted in ''Life on Two Levels''|p=ii|ps=.{{Sfn|Jung|1961|ps=: &quot;The best of truths is of no use unless it has become one's most personal inner experience. It is the duty of everyone who takes a solitary path to share with society what he finds on his journey of discovery.&quot;}}}}&lt;/blockquote&gt;

&lt;blockquote&gt;&quot;Even the very wise cannot see all ends.&quot;{{Sfn|Tolkien|1954|loc=Gandalf}}&lt;/blockquote&gt;

No doubt this entire essay is too discursive, and mathematically educated writers reach their findings more directly. I have told my story this way, still in a less halting and circuitous manner than it came to me, because it is important to show how I came by my understanding of these objects, since I am not a mathematician. I have been a child building with blocks, and my only guides have been the wiser children who built with the blocks before me, and told me how they did it; that, and my own nearly physical experience building with them, in my imagination. I am at pains to show how that can be done, even by as mathematically illiterate a child as I am.

{{Regular convex 4-polytopes|columns=7|wiki=W:|radius={{radic|2}}|instance=2}}

{{Regular convex 4-polytopes|columns=7|wiki=W:|radius=1}}

== Acknowledgements ==

...

== Notes ==
{{Notelist}}

== Citations ==
{{Reflist}}

== References ==
{{Refbegin}}
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=== 11-cell ===
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}}
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=== [[Polyscheme|Polyschemes]] ===
{{Regular convex 4-polytopes Refs|wiki=W:}}
=== Illustrations ===
* {{Citation|title=Tensegrity icosahedron structure|title-link=Wikimedia:File:Tensegrity Icosahedron.png|journal=Wikimedia Commons|last1=Burkhardt|first1=Bob|year=1994}}
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* {{Citation|author-last=Christie|author-first=David Brooks|year=2024|author-link=W:User:Dc.samizdat|title=Pentahemicosahedron|title-link=Wikimedia:File:Pentahemicosahedron.png|journal=Wikimedia Commons|ref={{SfnRef|Christie: Pentahemicosahedron|2024}}}}
* {{Citation|author=Cmglee|date=2019|author-link=W:User:Cmglee|title=Radially-symmetrical five-set Venn diagram devised by Branko Grünbaum|title-link=Wikimedia:File:Symmetrical 5-set Venn diagram.svg|journal=Wikimedia Commons|ref={{SfnRef|Cmglee: Grunbaum's 5-point Venn Diagram|2019|ps=; each individual element of the 5-cell is labelled.}}}}
* {{Citation|author-last=Cyp|year=2005|author-link=W:User:Cyp|title=Truncated tetrahedron, transparent, slowly turning, created with POV-ray|title-link=Wikimedia:File:Truncatedtetrahedron.gif|journal=Wikimedia Commons|ref={{SfnRef|Cyp: Truncated tetrahedron|2005}}}}
* {{Cite book|last=Duveneck|first=Josephine Whitney|title=Life on Two Levels: An Autobiography|year=1978|publisher=William Kaufman|place=Los Altos, CA|ref={{SfnRef|Duveneck|1978}}}}
* {{Citation|author-last=Hise|author-first=Jason|year=2011|author-link=W:User:JasonHise|title=A 3D projection of a 120-cell performing a simple rotation|title-link=Wikimedia:File:120-cell.gif|journal=Wikimedia Commons}}
* {{Cite book|last=Huxley|first=Aldous|author-link=W:Aldous Huxley|title=Ends and Means: An inquiry into the nature of ideals and into the methods employed for their realization|date=1937|publisher=Harper and Brothers|ref={{SfnRef|Huxley|1937}}}}
* {{Cite book|last=Jung|first=Carl Gustav|author-link=W:Carl Jung|title=Psychological Reflections: An Anthology of the Writings of C. G. Jung|date=1961|page=XVII|ref={{SfnRef|Jung|1961}}}}
* {{Citation|author-last=Piesk|author-first=Tilman|date=2018|author-link=W:User:Watchduck|title=Nonuniform rhombicosidodecahedron as rectified rhombic triacontahedron max|title-link=Wikimedia:File:Nonuniform rhombicosidodecahedron as rectified rhombic triacontahedron max.png|journal=Wikimedia Commons|ref={{SfnRef|Piesk: Rhombicosidodecahedron|2018}}}}
* {{Citation|author-last=Piesk|author-first=Tilman|date=2018|author-link=W:User:Watchduck|title=Polyhedron truncated 20 from yellow max|title-link=Wikimedia:File:Polyhedron truncated 20 from yellow max.png|journal=Wikimedia Commons|ref={{SfnRef|Piesk: Truncated icosahedron|2018}}}}
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* {{Citation|title=Great grand stellated 120-cell|title-link=Wikimedia:File:Ortho solid 016-uniform polychoron p33-t0.png|journal=Wikimedia Commons|last1=Ruen|first1=Tom|year=2007|author-link=W:User:Tomruen|ref={{SfnRef|Ruen: Great grand stellated 120-cell|2007}}}}
* {{Citation|author-last=Ruen|author-first=Tom|year=2019|author-link=W:User:Tomruen|title=Tetrahemihexahedron rotation|title-link=Wikimedia:File:Tetrahemihexahedron rotation.gif|journal=Wikimedia Commons|ref={{SfnRef|Ruen: Tetrahemihexahedron rotation|2019}}}}
* {{Citation|title=Net of the bitruncated 5-cell|title-link=Wikimedia:File:Bitruncated 5-cell net.png|journal=Wikimedia Commons|last1=Ruen|first1=Tom|year=2007|author-link=W:User:Tomruen|ref={{SfnRef|Ruen: Net of the bitruncated 5-cell|2007}}}}
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* {{Citation|title=24-cell|title-link=24-cell|journal=Polyscheme|publisher=Wikiversity|editor-last1=Ruen|editor-first1=Tom|editor-link1=W:User:Tomruen|editor-last2=Goucher|editor-first2=A.P.|editor-link2=W:User:Cloudswrest|editor-last3=Christie|editor-first3=David Brooks|editor-link3=W:User:Dc.samizdat|year=2024|ref={{SfnRef|Ruen &amp; Goucher et al. eds. 24-cell|2024}}}}
* {{Citation|title=600-cell|title-link=600-cell|journal=Polyscheme|publisher=Wikiversity|editor-last1=Ruen|editor-first1=Tom|editor-link1=W:User:Tomruen|editor-last2=Goucher|editor-first2=A.P.|editor-link2=W:User:Cloudswrest|editor-last3=Christie|editor-first3=David Brooks|editor-link3=W:User:Dc.samizdat|editor-last4=Moxness|editor-first4=J. Gregory|editor-link4=W:User:Jgmoxness|year=2024|ref={{SfnRef|Ruen &amp; Goucher et al. eds. 600-cell|2024}}}}
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{{Refend}}</text>
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{{align|center|dc@samizdat.org}}
{{align|center|Draft in progress}}
{{align|center|March 2024 - January 2026}}

&lt;blockquote&gt;[[W:Branko Grünbaum|Grünbaum]] and [[W:H.S.M. Coxeter|Coxeter]] independently discovered the [[W:11-cell|11-cell]] &lt;sub&gt;5&lt;/sub&gt;{3,5,3}&lt;sub&gt;5&lt;/sub&gt;, a regular 4-polytope with cells that are the [[W:hemi-icosahedron|hemi-icosahedron]] {3,5}&lt;sub&gt;5&lt;/sub&gt;, a hexad non-orientable polyhedron. The 11-cell is described as an abstract 4-polytope, because its cells do not have a direct realization in Euclidean 3-space. However, we find that the 11-cell has a realization in Euclidean 4-space inscribed in the [[120-cell|120-cell]], the largest regular convex 4-polytope, which contains inscribed instances of all the convex regular 4-polytopes. The 11-cell contains 11 hemi-icosahedra and 11 regular 5-cells. The 120-cell contains 120 dodecahedra and 120 regular 5-cells. We find that the 120-cell also contains: a non-uniform icosahedral polyhedron that contains the realization of the abstract hemi-icosahedron; real 11-point 11-cells made from 11 of it; and a compound of eleven real 11-cells. We also find a quasi-regular compound of the compound of eleven 11-cells and [[w:Schoute|Schoute]]'s compound of five 24-cells (the 600-cell). We describe the real 11-point 11-cell 4-polytope; its compound of eleven 11-cells; the quasi-regular compound; and their relation to the regular polytopes.&lt;/blockquote&gt;

== Introduction ==
[[W:Branko Grünbaum|Branko Grünbaum]] discovered the 11-cell around 1970,{{Sfn|Grünbaum|1976|loc=''Regularity of Graphs, Complexes and Designs''}} about a decade before [[W:H.S.M. Coxeter|H.S.M. Coxeter]] extracted hemi-icosahedral hexads from the permutations of eleven numbers, with observations on the perfection of Todd's cyclic pentads and other symmetries he had been studying.{{Sfn|Coxeter|1984|loc=''A Symmetrical Arrangement of Eleven Hemi-Icosahedra''}} Grünbaum started with the hexad, and the impetus for his discovery of the 11-cell was simply the impulse to build with them. Like a child building with blocks, he fit them together, three around each edge, until the arrangement closed up into a 3-sphere and surprise, ''eleven'' of them.

[[File:120-cell.gif|thumb|360px|The picture on the cover of the box of 4-dimensional building blocks.{{Sfn|Hise|2011|loc=File:120-cell.gif|ps=; &quot;Created by Jason Hise with Maya and Macromedia Fireworks. A 3D projection of a 120-cell performing a [[W:SO(4)#Geometry of 4D rotations|simple rotation]].&quot;}} Only the 120-cell's own edges are shown. The complex interior parts of the 120-cell, all its inscribed 600-cells, 24-cells, 8-cells, 16-cells, 5-cells and 11-cells, are completely invisible in this view, as none of their edges are rendered at all. The child must imagine them.]]
The 4-dimensional regular polytopes are the most wonderful set of child's building blocks. The simplest two 4-polytopes are the 5-point 4-[[W:Simplex|simplex]] (called the [[5-cell]], because it is built from 5 tetrahedra), and the 8-point 4-[[W:Orthoplex|orthoplex]] (called the [[16-cell]], because it is built from 16 tetrahedra). As building blocks they could not be more different. The 16-cell is the basic building block of everything 4-dimensional. Every other regular convex 4-polytope (''except'' the 5-cell) can be built as a compound of 16-cells, including first of all the [[w:Tesseract|16-point (8-cell) tesseract]], the 4-hypercube, which is a compound of two 16-cells in [[W:Demihypercube|exact dimensional analogy]] to the way a cube is a compound of two tetrahedra. The regular 5-cell, on the other hand, is not found within any of the other regular convex 4-polytopes, except in the largest and most complex one, the 600-point [[120-cell|120-cell]], the biggest thing you can build from this set of building blocks (the picture on the cover of the box, which is built from everything in the box). The 5-cell has a fundamental relationship to all the other 4-polytopes, but not one as simple as compounding, so it is not immediately useful to children trying to learn to build with 4-dimensional building blocks. But the 16-cell is our very starting point, and the most frequently used tool in the box.

Nevertheless, to build the 11-cell, we start with the 5-cell. The 5-cell and 11-cell are both self-reciprocal (their own duals). They are the only 4-polytopes where every cell shares a face with every other cell. The 5-cell is a tetrahedron surrounded by 4 other tetrahedra, in five different ways. The 11-cell is a hemi-icosahedron surrounded by 10 other hemi-icosahedra, in eleven different ways. The 5-cell has 5 vertices that form 5 tetrahedral cells, and a total of 10 triangular faces and 10 edges. The 11-cell has 11 vertices that form 11 hemi-icosahedral cells, each with 6 verticies 10 triangular faces and 15 edges, and a total of 55 triangular faces and 55 edges.

== 5-cells and hemi-icosahedra in the 11-cell ==
[[File:Symmetrical_5-set_Venn_diagram.svg|thumb|The 5-point (10-face) regular 5-cell (the regular 4-simplex). Grünbaum's rotationally symmetrical 5-set Venn diagram{{Sfn|Grünbaum|1975|loc=''Rotationally symmetrical 5-set Venn diagram'', Fig 1 (e)|ps=; partitions the individual elements of the 5-cell.}} is an illustration of the 5-cell labeling each of its &lt;math&gt;2^5&lt;/math&gt; elements.{{Sfn|Cmglee: Grunbaum's 5-point Venn Diagram|2019|ps=; each individual element of the 5-cell is labelled; image includes the Python code to render it, optimising for maximum area of the smallest regions.}}]]
[[File:Hemi-icosahedron.png|thumb|The 6-point (10 face) [[W:hemi-icosahedron|hemi-icosahedron]], an abstraction of the regular icosahedron, has half as many faces, edges and vertices. Each element of the abstract polyhedron represents two or more real elements found in different places in a concrete realization of the 11-cell.{{Sfn|Ruen: Hemi-icosahedron|2007}}]]
The most apparent relationship between the pentad 5-cell and the hexad hemi-icosahedron is that they both have 10 triangular faces. When we find a facet congruence between a 4-polytope and a 3-polytope we suspect a dimensional analogy. In the exceptional case of 5-cell and icosahedron, which share the same symmetry group &lt;math&gt;A_5&lt;/math&gt;, we fully expect a dimensional analogy.{{Efn|There is an exceptional inter-dimensional duality between the regular icosahedron and the 5-cell because they share &lt;math&gt;A_5&lt;/math&gt; symmetry. See this question asked on [https://math.stackexchange.com/questions/4235783/the-rotational-symmetry-groups-of-the-5-cell-and-the-icosahedron-are-isomorphi math.stackexchange.com 2021].}} Another clue that the hemi-icosahedron has something to do with dimensional analogy comes from its realization as the 6-point 5-simplex. Yet another real hexad is the 6-point 3-orthoplex; thus the hemi-icosahedron is related by dimensional analogy to the 4-simplex (5-cell) from above, and to the 4-orthoplex (16-cell) from below, while those two simplest 4-polytope building blocks are only related to each other indirectly by dimensional analogies, having no chord congruences in 4-space. The cell of the 11-cell has only been at the party 5 minutes, and it is already inter-dimensionally ''involved'' with the two earliest arrivals, the 4-simplex (5-cell) and 4-orthoplex (16-cell), who are famously stand-offish with each other. Interesting!

The cell of the 11-cell is an abstract hexad hemi-icosahedron with 5 central planes, most handsomely illustrated by Séquin.{{Sfn|Séquin|2012|loc=A 10-Dimensional Jewel}}{{Sfn|Séquin &amp; Lanier|2007|p=3|loc=Figure 4: (b,c) two views of the hemi-icosahedron projected into 3D space|ps=; Séquin et. al. have a lovely colored illustration of the hemi-icosahedron, subdivided into 10 triangular faces by 5 central planes of its icosahedral symmetry, revealing rings of polytopes nestled in its interior. Their illustration cannot be directly included here, because it has not been uploaded to [[W:Wikimedia Commons|Wikimedia Commons]] under an open-source copyright license, but you can view it online by clicking through this citation to their paper, which is available on the web.}}{{Sfn|Séquin &amp; Hamlin|2007|loc=Figure 2. 57-Cell: (a) vertex figure|ps=; The 6-point [[W:Hemi-isosahedron|hemi-isosahedron]] is the vertex figure of the 11-cell's dual 4-polytope the 57-point [[W:57-cell|57-cell]].}} The 11 hemi-icosahedral cells have 10 triangle faces each, and each cell is face-bonded to the other 10 cells. The 5-cell's 5 tetrahedral cells have 10 faces and 10 edges altogether, and each cell is face-bonded to the other 4 cells. If 11-cell faces correspond to 5-cell faces, then 3 of each 5-cell's 5 vertices are a hemi-icosahedron face, and its other 2 vertices must be some 11-cell edge lying opposite the face. Coxeter determined that the 11-cell does indeed have an edge opposite each face, that does not belong to the same hemi-icosahedral cell as its opposing face. He found that the 10 edges opposite each hemi-icosahedron's 10 faces are the 10 edges of a single 5-cell, which does not share any vertices, edges or faces with the hemi-icosahedron. For each cell of the 11-point 11-cell, there is exactly one 5-point 5-cell that is completely disjoint from the 6-point hemi-icosahedron cell.{{Sfn|Coxeter|1984|p=110|loc=§6. The Petrie polygon [of the 11-cell]|ps=; &quot;We may reasonably call this edge and face ''opposites''. It is easy to find the face opposite to a given edge by looking at the faces to which a given edge belongs. ... Conversely, given a face, we can find the opposite edge by seeing which vertices belong to neither of the hemi-icosahedra which share that face. The ten edges opposite to the ten faces of one hemi-icosahedron are the edges of the complementary &lt;math&gt;a_4&lt;/math&gt; [4-simplex], that is, the joins of all pairs of the five vertices [of the 11-cell] not belonging to the given hemi-icosahedron.&quot;}}

There are 11 disjoint 5-cell 4-polytopes inscribed in each 11-cell, which also contains 11 hemi-icosahedral cells, 55 faces, 55 edges and 11 vertices. The real 11-cell is more complex than the abstract 11-cell representing it, because the real hemi-icosahedron is more complex and harder to find than the abstract hemi-icosahedron. Seeing the real 11-cell will be easier once we have identified the real hemi-icosahedron, and seen exactly where the 11-cell's real elements reside in the other 4-polytopes within the 120-cell with which the 11-cell intermingles.

The 5-cell has 10 faces, and the 11-cell has 10 faces in each of its hemi-icosahedral cells, but that is not how their faces correspond. Each hemi-icosahedron is face-bonded to the other 10 hemi-icosahedra, and to 10 of the 11 5-cells, and there is exactly one 5-cell with which it does not share a face.{{Efn|As Coxeter observes (in the previous citation), that unrepresented 5-point 5-cell is the other 5 vertices of the 11-point 11-cell that are not vertices of this 6-point hemi-icosahedron: the hemi-icosahedron's disjoint complement.}} Each 5-cell has 10 faces which belong to 10 distinct hemi-icosahedra of the 11-cell, and there is just one hemi-icosahedron with which it does not share a face.

In the abstract 11-cell each face represents two conflated icosahedron faces, two actual faces in different places, so the 11-cell's 55 faces represent 110 actual faces: the faces of 11 completely disjoint 5-cells. Each hemi-icosahedron vertex represents conflated icosahedral vertices: multiple actual vertices separated by a small distance which has been reduced to a point at the coarse scale of the abstraction.{{Efn|We shall see that this small eliminated distance is in fact the length of a 120-cell edge, the shortest chordal distance found in the 120-cell.}} Seemingly adjacent hemi-icosahedron faces do not actually meet at an edge; there is a polygon separating them, which has been abstracted to an edge. The 10 hemi-icosahedron faces are 5-cell faces from 10 distinct 5-cells, and they do not actually touch each other: the 120 5-cells in the 120-cell are completely disjoint.

In the 5-cell each face bonds two tetrahedral cells together, and in the 11-cell each face bonds two pairs of tetrahedral cells together, because each 11-cell face represents two actual 5-cell faces in different places. Each duplex 11-cell face bonds tetrahedra in two 5-cells in different places, without binding the 5-cells together (they are completely disjoint). One actual 5-cell face is one half of a duplex 11-cell face, so 110 5-cell faces are 55 duplex 11-cell faces. The 11-cell's 11 abstract vertices represent all 55 distinct vertices of the 11 disjoint 5-cells, so they must be abstract conflations of at least 5 vertices. Therefore for any of this to be possible, the 11-cell must not be alone; 11-cells must be sharing vertices, not disjoint as the 5-cells are.

== The real hemi-icosahedron ==

[[File:120-Cell showing the individual 8 concentric hulls and in combination.svg|thumb|400px|right|
Orthogonal projections of the 120-cell by Moxness{{Sfn|Moxness: 8 concentric hulls|2022|loc=Hull #8 (lower right)|ps=; &quot;Orthogonal projection of the 120-cell using any 3 of these Cartesian coordinate dimensions forms an outer hull of a Chamfered dodecahedron of Norm=√8. Hulls 1, 2, &amp; 7 are each overlapping pairs of Dodecahedrons. Hull 3 is a pair of Icosidodecahedrons. Hulls 4 &amp; 5 are each pairs of Truncated icosahedrons. Hulls 6 &amp; 8 are Rhombicosidodecahedrons.&quot;}} using 3 of its 4 Cartesian coordinate dimensions to render 8 polyhedral hulls which are 3D sections through distinct hyperplanes starting with a dodecahedron cell. Hull #8 with 60 vertices (lower right) is a central section of the 120-cell, the 8th and largest section starting with a cell.{{Efn|1=Although the 8 hulls are illustrated as the same size, in the 120-cell they have increasing size as numbered, and occur nested inside each other like Russian dolls. Only Hull #8 is a central section of the same radius as the 120-cell itself, analogous to the equator. Sections 1-7 occur in pairs on opposite sides of the central section, and are analogous to lines of latitude. Section 1 is simply a dodecahedral cell. The &quot;Combined hulls&quot; is for illustrative purposes only; no such compound polyhedron exists in the 120-cell.}}]]
We shall see in subsequent sections that the 11-cell is not in fact alone, but first let us see if we can find an existing illustration of the realization of the abstract hemi-icosahedron, as an actual polyhedron that occurs in the 120-cell. Moxness developed software which uses Hamilton's [[w:Quaternion|quaternion]]s to render the polyhedra which are found in the interior of ''n''-dimensional polytopes.{{Sfn|Moxness: Quaternion graphics software|2023|ps= ; describes the theory and implementation of quaternion-based polytope graphics software.}} [[w:William_Rowan_Hamilton|Hamilton]] was the first wise child to discover a 4-dimensional building block, [[w:History_of_quaternions#Hamilton's_discovery|in his flash of genius on Broom bridge]] in 1843, though he didn't think of his quaternion formula {{math|1=''i''&lt;sup&gt;2&lt;/sup&gt; = ''j''&lt;sup&gt;2&lt;/sup&gt; = ''k''&lt;sup&gt;2&lt;/sup&gt; = ''ijk'' = −1}} as the [[W:Tesseract|16-point (8-cell) tesseract]] 4-polytope. He did not realize then that he had discovered the 4-hypercube polytope and [[W:Tesseractic honeycomb|its Euclidean honeycomb]], the tetrad (w, x, y, z) Cartesian [[w:Euclidean_geometry#19th_century|coordinates of Euclidean 4-space]]. Moxness built his software out of Hamilton's quaternions, as quite a lot of graphics software is built, because [[w:Quaternions_and_spatial_rotation|quaternions make rotations]] and projections in 3D or 4D space as simple as matrix multiplications.{{Sfn|Mebius|1994|p=1|loc=&quot;''[[W:Quaternion algebra|Quaternion algebra]]'' is the tool ''par excellence'' for the treatment of three- and four- dimensional (3D and 4D) rotations. Obviously only 3D and by implication 2D rotations have an everyday practical meaning, but the [[W:Rotations in 4-dimensional Euclidean space|theory of 4D rotations]] turns out to offer the easiest road to the representation of 3D rotations by quaternions.&quot;}} The quaternions are 4-hypercube building blocks, analogous to the 3-hypercube wooden blocks everyone built with as a child (only they fit together even better, because they are [[w:8-cell#Radial_equilateral_symmetry|radially equilateral]] like the cuboctahedron and the [[24-cell]], but we digress). Moxness used his software to render illustrations of the polyhedra inside the 120-cell, which he published. Notice his &quot;Hull # = 8 with 60 vertices&quot;, lower right. It is a real icosahedron that the abstract hemi-icosahedron represents, as it occurs in the 120-cell. Moxness's 60-point Hull #8 is a concrete realization of the 6-point hemi-icosahedron in spherical 3-space &lt;math&gt;S^3&lt;/math&gt;, embedded in Euclidean 4-space &lt;math&gt;\mathbb{R}^4&lt;/math&gt;. Its 12 little pentagon faces are 120-cell faces. It also has 20 triangle faces like any icosahedron, separated from each other by rectangles, but beware: those triangles are not the 5-cell faces. They are smaller equilateral triangles, of edge length &lt;math&gt;1&lt;/math&gt; in a {{radic|2}}-radius 120-cell, where the 5-cell face triangles have edge length {{radic|5}}.{{Efn|The 41.4° chord of edge length 1 in a {{radic|2}}-radius 120-cell occurs only in the 120-cell; it is not the edge of any smaller regular 4-polytope inscribed in the 120-cell. The equilateral triangle faces of Moxness's Hull #8 rhombicosidodecahedron are not the 5-cell faces of edge length &lt;small&gt;&lt;math&gt;\sqrt{5} \approx 2.236&lt;/math&gt; &lt;/small&gt;(104.5°), not the 16-cell faces of edge length &lt;small&gt;&lt;math&gt;2&lt;/math&gt;&lt;/small&gt; (90°), not the 24-cell faces of edge length &lt;small&gt;&lt;math&gt;\sqrt{2} \approx 1.414&lt;/math&gt;&lt;/small&gt; (60°), and not the 600-cell faces of edge length &lt;small&gt;&lt;math&gt;\sqrt{2}/\phi \approx 0.874&lt;/math&gt;&lt;/small&gt; (36°).|name=Moxness 60-point triangle faces}}

[[File:Irregular great hexagons of the 120-cell radius √2.png|thumb|Every 6 edges of the 120-cell that lie on a great circle join with 5-cell edges to form two opposing irregular great hexagons (truncated triangles). The 120-cell contains 1200 of its own edges and 1200 5-cell edges, in 200 irregular {12} dodecagon central planes. The 5-cell ''faces'' do not lie in central planes.]]
Edges of the larger 5-cell face triangles of length {{radic|5}} can also be found in Hull #8, but they are invisible chords below the surface of Moxness's 60-point polyhedron. To see them, notice that six 120-cell edges (little pentagon edges) lie on a great circle, alternating with six rectangle diagonals. Also lying on this irregular {12} great circle are six 5-cell edges, invisible chords joining every other 120-cell edge and  running under the 120-cell edge between them. The six long chords and six short edges form two opposing irregular {6} great hexagons (truncated triangles) of alternating 5-cell edges and 120-cell edges, as illustrated. The irregular great {12} lies on a great circle of Moxness's Hull #8, and also on a great circle of the 120-cell, because Hull #8 is the ''central'' cell-first section of the 120-cell.{{Efn|The cell-first central section of the 600-cell (and of the 24-cell) is a cuboctahedron with 24-cell edges. The 120-cell is the regular compound of 5 600-cells (and of 25 24-cells), so Moxness's Hull #8, as the cell-first central section of the 120-cell, is the regular compound of 5 cuboctahedra. Their 24-cell edges, like the 5-cell edges, are invisible chords of Hull #8 that lie below its surface, on the same irregular {12} great circles. Each 24-cell edge chord spans one 120-cell edge chord (one little pentagon edge) and one rectangle face diagonal chord. Six 24-cell edge chords form a regular great {6} hexagon, inscribed in the irregular great {12} dodecagon.|name=compound of 5 cuboctahedra}} There are 10 great dodecagon central planes and 60 5-cell edges in Moxness's Hull #8, and 200 great dodecagon central planes and 1200 5-cell edges in the 120-cell. 

[[File:Central cell-first section of the 120-cell with 5-cell face triangle.png|thumb|Orthogonal projection of the cell-first central section of the 120-cell, Hull #8 rendered by Moxness, with one of 20 inscribed 5-cell faces (black chords) drawn under portions of three of its ten great circle {12} dodecagons (green).{{Efn|The point of view in this rendering is not quite right to best illustrate that a rhombicosidodecahedron triangle face lies over the center of a 5-cell face parallel to it, such that it would be perfectly inscribed in the center of the larger black triangle in an orthogonal view.}}]]
But the 5-cell ''faces'' do not lie in those central planes. We can locate them in the 60-point polyhedron where they lie parallel to and under each small face triangle of edge length &lt;math&gt;1&lt;/math&gt;. Truncating at a triangle face of Moxness's Hull #8 exposes a deeper 5-cell triangle face.{{Efn|Each face triangle of edge length &lt;math&gt;1&lt;/math&gt; is surrounded by 3 rectangles, and beyond each rectangle by another face triangle. The distant vertices of those 3 surrounding triangles form a {{radic|5}} triangle, a 5-cell face.}} There are 20 such 5-cell faces inscribed in the Hull #8 polyhedron, all completely disjoint. We find 60 vertices, 60 edges and 20 faces of various 5-cells in each Hull #8 polyhedron, but no whole tetrahedral cells of the 5-cells.{{Efn|The fourth vertex of each 5-cell tetrahedron lies opposite the small face triangle of edge length &lt;math&gt;1&lt;/math&gt; that lies over the 5-cell face. Since Moxness's Hull #8 polyhedron has opposing triangle faces (like any icosahedron), the fourth vertex of the 5-cell tetrahedron lies over the center of the opposing face, outside the Hull #8 polyhedron. This is a vertex of some other Hull #8 polyhedron in the 120-cell. Each tetrahedral cell of a 5-cell spans four Hull #8 polyhedra, with one face inscribed in each, and one vertex outside of each.}}

[[File:Nonuniform_rhombicosidodecahedron_as_rectified_rhombic_triacontahedron_max.png|thumb|Moxness's 60-point Hull #8 is a nonuniform [[W:Rhombicosidodecahedron|rhombicosidodecahedron]] similar to the one from the catalog shown here,{{Sfn|Piesk: Rhombicosidodecahedron|2018}} but a slightly shallower truncation of the icosahedron with smaller red pentagons and narrower rhombs. Rhombicosidodecahedra are also made by truncating the [[W:Rhombic triacontahedron|rhombic triacontahedron]], which is the unique 30-sided polyhedron with only one kind of face, the dual of the 30-point icosidodecahedron. The 120-cell contains 60 of Moxness's Hull #8 rhombicosidodecahedron. Each occupies a central hyperplane, and so is analogous to an equator dividing the sphere in half.]]
Moxness's Hull #8 is a nonuniform form of an Archimedean solid, the 60-point [[W:Rhombicosidodecahedron|rhombicosidodecahedron]] from [[W:Johannes Kepler|Kepler's]] 1619 [[W:Harmonices Mundi|''Harmonices Mundi'']], which has the same 120 edges, 20 triangular faces and 12 pentagon faces, but with 30 squares between them instead of 30 rectangles. Without the squares ''or'' the rectangles it would be the 30-point [[W:icosidodecahedron|icosidodecahedron]], which has the same relationship to Moxness's Hull #8 that the 6-point hemi-icosahedron does: they are both abstractions of it by conflation of its 60 points, 2-into-1 (icosidodecahedron) and 10-into-1 (hemi-icosahedron), in what [[w:Alicia_Boole_Stott|Alicia Boole Stott]] named a ''contraction'' operation.{{Efn|The regular 5-point 5-cell can be another abstraction of Moxness's 60-point Hull #8, 12-vertices-into-1. None of these contractions of Moxness's Hull #8 is an instance of her operation actually described by Boole Stott, since she did not apply her expansion and contraction operations to uniform polytopes with more than one edge length, but she did explicitly describe contractions of the semi-regular Archimedean rhomibicosidodecahedron.}} Moxness was not the first person to find rhombicosidodecahedra in the 120-cell. Alicia Boole Stott identified the 6th section of the 120-cell beginning with a cell as the semi-regular rhombicosidodecahedron that is her ''e&lt;sub&gt;2&lt;/sub&gt; expansion'' of the icosahedron (or equivalently of its dual polyhedron the dodecahedron).{{Sfn|Boole Stott|1910|loc=§Examples of the e&lt;sub&gt;2&lt;/sub&gt; expansion|p=7}} But that 6th section rhombicosidodecahedron identified by Boole Stott is not Moxness's Hull #8, it is the semi-regular Archimedean solid (Moxness's Hull #6), with a single edge length and square faces. Moxness's Hull #8, with its two distinct edge lengths and rectangular faces, is Coxeter's 8&lt;sub&gt;3&lt;/sub&gt;, the 8th section of {5,3,3} beginning with a cell, which is missing from the sections illustrated by Boole Stott.{{Sfn|Coxeter|1973|p=258-259|loc=§13.9 Sections and Projections: Historical remarks|ps=; &quot;Alicia Boole Stott (1860-1940) ... also constructed the sections i&lt;sub&gt;3&lt;/sub&gt; of {5, 3, 3}, exhibiting the nets in her Plate V. “Diagrams VIII-XIV” refer to the sections 1&lt;sub&gt;3&lt;/sub&gt;-7&lt;sub&gt;3&lt;/sub&gt;; but 8&lt;sub&gt;3&lt;/sub&gt; is missing. Incidentally, Diagram XIII (our 6&lt;sub&gt;3&lt;/sub&gt;) is a rhombicosidodecahedron, the Archimedean solid.&quot;}} Coxeter found the central section 8&lt;sub&gt;3&lt;/sub&gt; first, and gave its coordinates, but he did not identify it as an irregular rhombicosidodecahedron. His table entry for its description is empty (characteristically since it is not a regular or semi-regular polyhedron), so he gives us no indication that he actually visualized it. Although Moxness was not the first to compute the 60-point 8&lt;sub&gt;3&lt;/sub&gt; section, he may have been the first person to ''see'' it.

The 30-point icosidodecahedron is the quasi-regular product of 5-point pentagon and 6-point hexagon, recalling Coxeter's original discovery of the 11-cell in pentads and hexads, and also the two child's building blocks: one so useless the 5-point (pentad) 5-cell, and the other so useful the 8-point 16-cell with its four orthogonal 6-point (hexad) octahedron central sections, which can be compounded into everything larger. Some children building with the 30-point icosidodecahedron notice that it occurs as the central section 4&lt;sub&gt;0&lt;/sub&gt; of the 120-point 600-cell. It is less often noticed that Moxness's Hull #8 rhombicosidodecahedron is the central section 8&lt;sub&gt;3&lt;/sub&gt; of the 600-point 120-cell. It occupies a flat 3-dimensional hyperplane that bisects the 120-cell, and since there are 120 dodecahedral cells, there are 60 such central hyperplanes, each perpendicular to an axis that connects the centers of two antipodal cells.

The 60 central hyperplanes, each containing an instance of Moxness's Hull #8, are rotated with respect to each other. They intersect, with 6 rhombicosidodecahedra sharing each vertex and 3 sharing each edge, but each little pentagon face (120-cell face) belongs to just one rhombicosidodecahedron. The 60 central sections lie in isoclinic hyperplanes, that is, the rhombicosidodecahedra are rotated symmetrically with respect to each other, by two equal angles.{{Sfn|Kim|Rote|2016|p=7|loc=§6 Angles between two Planes in 4-Space|ps=; &quot;In four (and higher) dimensions, we need two angles to fix the relative position between two planes. (More generally, ''k'' angles are defined between ''k''-dimensional subspaces.)&quot;}} Each pair of rhombicosidodecahedra intersect in a central plane containing an irregular {12} dodecagon, unless they are completely orthogonal and intersect only at the center of the 4-polytope.

Each of the 120 dodecahedral cells lies in the closed, curved 3-dimensional space of the 3-sphere as the 1st and smallest section beginning with a cell (section 1&lt;sub&gt;3&lt;/sub&gt;), the innermost of a series of concentric polyhedral hulls of increasing size, which nest like Russian dolls around it. Moxness's Hull #8 rhombicosidodecahedron is the 8th and largest concentric hull beginning with a cell (section 8&lt;sub&gt;3&lt;/sub&gt;), a central section of the 120-cell that bisects the 3-sphere the way an equator bisects an ordinary sphere.{{Efn|The 120-cell's curved 3-space surface is a honeycomb of 120 dodecahedron cells. In this 3-space a dodecahedron cell lies inside at the center of each section 8&lt;sub&gt;3&lt;/sub&gt; rhombicosidodecahedron, face-bonded to 12 other dodecahedron cells which surround it, also inside the rhombicosidodecahedron. We find the opposite pentagon faces of those 12 surrounding cells on the surface of the section 8&lt;sub&gt;3&lt;/sub&gt; rhombicosidodecahedron. These twelve dodecahedra surrounding one dodecahedron partially fill the volume of the rhombicosidodecahedron, leaving 30 concavities in its surface at the rectangle faces, and 12 deeper concavities between them at the triangle faces. 30 more dodecahedra fit into the rectangle concavities, lying half inside and half outside the rhombicosidodecahedron. The diagonal of each rectangle face is a long diameter of a dodecahedron cell. 12 more dodecahedra fit into the triangle face concavities, lying ....|name=dodecahedral cells in the section 8 rhombicosidodecahedron}} Such a central polyhedron is the dimensional analog of an equatorial great circle polygon. Its 60 vertices lie in the same 3-dimensional hyperplane, a flat 3-dimensional section sliced through the center of the 120-cell. There are 60 distinct stacks of 15 parallel section ''n''&lt;sub&gt;3&lt;/sub&gt; hyperplanes in the 120-cell, one stack spindled on each axis that connects a dodecahedron cell-center to its antipodal dodecahedron cell-center. Each central section 8&lt;sub&gt;3&lt;/sub&gt; has ''two'' disjoint sets of smaller sections nested within it, that lie in opposite directions from the 120-cell's center along its 4th dimension axis. The largest-radius central slice lies in the center of the stack, and the smaller non-central section hyperplanes occur in parallel pairs on either side of the central slice. The 120-cell therefore contains 120 instances of each kind of non-central section 1&lt;sub&gt;3&lt;/sub&gt; through 7&lt;sub&gt;3&lt;/sub&gt;, and 60 instances of the central section 8&lt;sub&gt;3&lt;/sub&gt;.{{Efn|A central section is concave on its inside and also on its outside: it has two insides. It may be helpful to imagine the central 60-point section as two mirror-image 60-point polyhedra whose points are coincident, but which are convex in opposite directions: the inside of one is the outside of the other. Each has seven smaller polyhedra nested within itself, but their two volumes are disjoint.}}

[[File:Tensegrity Icosahedron.png|thumb|[[WikiJournal Preprints/Kinematics of the cuboctahedron#Elastic-edge transformation|Tensegrity icosahedron]] structure.{{Sfn|Burkhardt|1994}} First built by [[W:Kenneth Snelson|Kenneth Snelson]] in 1949. Geometrically a [[w:Jessen's_icosahedron|Jessen's icosahedron]] with 6 reflex ''long'' edge struts, and 24 ''short'' edge tension cables around 8 equilateral triangle faces. 3 pairs of parallel struts lie in 3 orthogonal central planes.]]
We have come far enough with our pentad building blocks, usually so useless to children less wise than Todd or Coxeter, to see that the 60 Moxness's Hull #8 rhombicosidodecahedra are real polyhedra which the abstract hemi-icosahedra represent in some manner, but we have not yet identified 11 real face-bonded cells, at 11 distinct locations in the 120-cell, as an 11-cell. The abstract hemi-icosahedron's 10 faces correspond to actual 5-cell faces inscribed in real rhombicosidodecahedra, and its 15 edges correspond to 5-cell edges (of length {{radic|5}} in a {{radic|2}}-radius 120-cell) that occur as chords lurking under the surface of the rhombicosidodecahedra.

[[File:Buckminster-Fuller-holding-a-geodesic-tensegrity-sphere.png|thumb|200px|Buckminster Fuller holding a 3-dimensional geodesic tensegrity 2-sphere, an infinitesimally mobile rigid polytope consisting of tension cable edges and disjoint compression strut chords.&lt;ref&gt;{{Cite journal|last=Álvarez Elipe|first=Dolores|title=Ensegrities and Tensioned Structures|journal=Journal of Architectural Environment &amp; Structural Engineering Research|date=July 2020|volume=3|issue=3|url=https://www.researchgate.net/publication/343652287_Ensegrities_and_Tensioned_Structures}}&lt;/ref&gt;]]
A rhombicosidodecahedron is constructed from a regular icosahedron by truncating its vertices, making them into pentagon faces. The regular icosahedron frames all the regular and semi-regular polyhedra by expansion and contraction operations, as Alicia Boole Stott discovered before 1910,{{Sfn|Polo-Blanco: ''Theory and history of geometric models of Alicia Boole Stott''|2007|loc=§5.3.2 1910 paper on semi-regular polytopes|pp=152-158|ps=; summarizes Boole Stott's method and results from {{Sfn|Boole Stott|1910|loc=''Geometrical deduction of semiregular from regular polytopes and space fillings''|pp=12-45|ps=; presents two cyclical sequences of regular and semi-regular 4-polytopes linked by expansion-contraction operations to their embedded 3-polytopes, comprising a large trans-dimensional polytope family that includes 6 regular 4-polytopes and their 3-polytope dimensional analogues, and 45 Archimedean 4-polytopes and their 13 Archimedean 3-polytope analogues.}}, including her tables of expansion-contraction dimensional analogies and a few of her illustrations.}} and those wise young friends Coxeter &amp; Petrie, building together with polyhedral blocks, rediscovered before 1938.{{Sfn|Coxeter, du Val, Flather &amp; Petrie|1938|p=4|ps=; &quot;Just as a tetrahedron can be inscribed in a cube, so a cube can be inscribed in a dodecahedron. By reciprocation, this leads to an octahedron circumscribed about an icosahedron. In fact, each of the twelve vertices of the icosahedron divides an edge of the octahedron according to the &quot;[[W:Golden section|golden section]]&quot;. Given the icosahedron, the circumscribed octahedron can be chosen in five ways, giving a [[W:Compound of five octahedra|compound of five octahedra]], which comes under our definition of [[W:Stellated icosahedron|stellated icosahedron]]. (The reciprocal compound, of five cubes whose vertices belong to a dodecahedron, is a stellated [[W:Triacontahedron|triacontahedron]].) Another stellated icosahedron can at once be deduced, by stellating each octahedron into a [[W:Stella octangula|stella octangula]], thus forming a [[W:Compound of ten tetrahedra|compound of ten tetrahedra]]. Further, we can choose one tetrahedron from each stella octangula, so as to derive a [[W:Compound of five tetrahedra|compound of five tetrahedra]], which still has all the rotation symmetry of the icosahedron (i.e. the icosahedral group), although it has lost the reflections. By reflecting this figure in any plane of symmetry of the icosahedron, we obtain the complementary set of five tetrahedra. These two sets of five tetrahedra are enantiomorphous, i.e. not directly congruent, but related like a pair of shoes. [Such] a figure which possesses no plane of symmetry (so that it is enantiomorphous to its mirror-image) is said to be ''[[W:Chiral|chiral]]''.&quot;}} Before we can move on to locating the 11 discrete hemi-icosahedral cells of the 11-cell in the 120-cell, it is important that we take notice of one more icosahedral symmetry of the hidden {{radic|5}} chords lurking below the surface of Moxness's Hull #8 rhombicosidodecahedron. The 12 little pentagon faces (120-cell faces) are connected to each other in parallel pairs, by 10 sets of six disjoint {{radic|5}} chords (5-cell edges). Each six-chord set is the six reflex edges of a 12-point non-convex polyhedron called the [[w:Jessen's_icosahedron|Jessen's icosahedron]], which is to say that the six disjoint chords are the parallel-orthogonal strut chords of a [[WikiJournal Preprints/Kinematics of the cuboctahedron#Elastic-edge transformation|tensegrity icosahedron]]. The six chords of each set are disjoint (they don't touch or form 5-cell faces), and they are symmetrically arranged as 3 parallel pairs, {{radic|3}} apart, which lie in 3 orthogonal {12} central planes.{{Efn|The Jessen's icosahedron has 8 equilateral triangle faces, which are not rhombicosidodecahedron triangle faces or 5-cell triangle faces, they are 24-cell triangle faces. Each 120-cell pentagon face lies at one end of 20 5-cell edges, from 20 distinct Jessen's icosahedra and five disjoint 5-cells: four at each pentagon vertex from each 5-cell.}} Five disjoint instances of the Jessen's icosahedron may be inscribed in each Moxness's Hull #8 rhombicosidodecahedron, their struts propping the rhombicosidodecahedron and the 120-cell itself open like a tensegrity structure.{{Efn|Moxness's Hull #8 rhombicosidodecahedron is a compound of five disjoint Jessen's icosahedra, because the 60 {{radic|5}} chords meet two-at-a-vertex and form 10 distinct Jessen's icosahedra: five disjoint Jessen's, in two different ways. The dimensionally analogous construction is the [[120-cell#Compound of five 600-cells|120-cell as a compound of five disjoint 600-cells]], in two different ways. Consequently the 120-cell can be constructed as an infinitesimally mobile rigid geodesic 3-sphere: a 4-dimensional tensegrity sphere. The 120-cell's 1200 edges need only be tension cables, provided that a disjoint 600 of the 120 5-cells' 1200 edges are included as compression struts, in parallel pairs.|name=tensegrity 120-cell}} But here we find ourselves far out in the 3-sphere system, almost to the [[W:Borromean_rings|Borromean rings]] of the giant 600-cell. We shall have to go back and orient ourselves at the origin again, and work our way patiently outwards, before in ''[[#The perfection of Fuller's cyclic design|§The perfection of Fuller's cyclic design]]'' we approach that rare child Bucky Fuller's orthogonal 12-point tensegrity icosahedron, an [[WikiJournal Preprints/Kinematics of the cuboctahedron|in-folded cuboctahedron]], the unique pyritohedral fish swimming deep in the 3-sphere ocean.

== Eleven ==

Each pair of rhombicosidodecahedra that are not completely orthogonal intersect in a central plane containing an irregular {12} dodecagon. Ten irregular great dodecagons occur in each 60-point (central section 8&lt;sub&gt;3&lt;/sub&gt;) rhombicosidodecahedron, with 2 dodecagons crossing orthogonally at each vertex. Each rhombicosidodecahedron shares a {12} central plane with ten other rhombicosidodecahedra. 

''Groups of 11 rhombicosidodecahedra share central planes pairwise.'' Here, at last, we find eleven of something, a group which must comprise an 11-cell. There are eleven {12} central planes in the group, with one of the eleven absent from each rhombicosidodecahedron.

{|class=&quot;wikitable floatright&quot; width=450
!colspan=2|Perspective views{{Efn|1=These images are ''non-orthogonal'' orthographic projections of the chords described in the caption. Those chords do not lie in a plane parallel to the projection plane, so they appear foreshortened.{{Efn|name=orthogonal triacontagram projections}} Consecutive chords of the helical Petrie polygon slant toward and away from the viewer. Any three consecutive chords, but no four, are edges of the same cell, in the 4-polytope whose edges are the chord.{{Efn|name=Petrie polygon of a honeycomb}}}} of a compound of six disjoint 5-cells in dual position
|-
![[W:Triacontagon#Triacontagram|{30/12}{{=}}6{5/2} compound]]
![[W:Triacontagon#Triacontagram|{30/8}{{=}}2{15/4} compound]]{{Efn|name=orthogonal triacontagram projections|1=The {30/''n''} triacontagrams can each be seen as an ''orthogonal projection'' of the 120-cell showing all instances of the {30/''n''} chord. Each chord lies orthogonal to the line of sight, in a plane parallel to the projection plane. The diameter of the image is the diameter of the 120-cell. For example, the {30/8}=2{15/4} triacontagram is an orthogonal projection showing the 120-cell's 1200 {30/8} chords, the edges of 120 5-cells. Each edge of the triacontagram covers 40 5-cell edges, and each vertex covers 20 120-cell vertices. This projection can also be viewed as a compound of six 5-cells and their 30 unique vertices. But viewed that way, only 30 of the 60 5-cell edges are visible. Two edges meet at each vertex, but the other two are invisible. They are visible in the orthogonal view, the {30/4}=2{15} projection.}}
|- valign=top
|[[File:Regular_star_figure_6(5,2).svg|240px]]&lt;BR&gt;The 6{5/2} compound of six 5-cells. The six disjoint pentagrams in this view are six disjoint 5-cells.{{Efn|name=5-cell edges do not intersect is S&lt;sup&gt;3&lt;/sup&gt;}} The 120-cell, with 120 disjoint 5-cells, is a compound of 20 of these compounds. All edges are 5-cell edges, but only five of each 5-cell's ten edges are visible. The other five edges, connecting the points of the six 5-cell pentagrams, are visible in the 6{5} projection below, the orthogonal view:&lt;BR&gt;[[File:Regular_star_figure_6(5,1).svg|240px]]These two views look straight down the completely orthogonal axes of a [[w:Duocylinder|duocylinder]], from inside the curved 3-dimensional space of the 120-cell's surface. They are like looking down a column of 5-cells stacked on top of one another in curved 3-space, but the column is actually circular: it is bent into a torus in the fourth dimension.
|[[File:Regular_star_figure_2(15,4).svg|240px]]&lt;BR&gt;The 2{15/4} rotation circuits of the 5-cell isoclinic rotation. In this view, all edges are 75.5° chords of length {{radic|3}}, the 180° complement chord of the 5-cell edges of length {{radic|5}}.{{Efn|These are not 15-gons of 5-cell edges. There are no skew {15} polygons of 5-cell edges in the 120-cell. The 120 5-cells are completely disjoint, so the largest circuit along 5-cell edges is a skew {5}. Each vertex in the 120-cell is {{radic|5}} away from four and only four other vertices. No {{radic|5}} chords connect disjoint 5-cells; they are connected by several other chords. The skew {15} polygons are the discrete continuous spiral paths of moving vertices during an isoclinic rotation, and their edges are {{radic|3}} chords connecting 5-cells, not 5-cell edges.}} Each skew {15} polygon is the spiral chord-path of half the 30 vertices during the isoclinic rotation. The twined vertex orbits lie skew in 4-space; they form a circular double helix of two 15-gon spiral isoclines, winding through all four dimensions. These two completely orthogonal views look straight down an axis of a double helix cylinder, from inside the curved 3-dimensional space of the 120-cell's surface. Since the duocylinder is bent into a [[w:Clifford_torus|Clifford torus]] in the fourth dimension, the sightline axis in curved 3-space is a geodesic great circle in 4-space.&lt;BR&gt;[[File:Regular_star_figure_2(15,2).svg|240px]]
|-
![[W:Triacontagon#Triacontagram|{30/6}{{=}}6{5} compound]]
![[W:Triacontagon#Triacontagram|{30/4}{{=}}2{15/2} compound]]
|-
|colspan=2|Images by Tom Ruen in [[W:Triacontagon#Triacontagram|Triacontagram compounds and stars]].{{Sfn|Ruen: Triacontagon|2011|loc=§Triacontagram compounds and stars}}
|}
Each shared {12} central plane contains six disjoint 5-cell edges, from six completely disjoint 5-cells. Each rhombicosidodecahedron contains 60 5-cell edges, which form 20 disjoint 5-cell faces within the rhombicosidodecahedron, under and parallel to its own 20 smaller triangle faces. Four 5-cell edges meet at each vertex at the 5-cell's tetrahedral vertex figure. Two 5-cell edges of a face within the rhombicosidodecahedron meet two edges belonging to other faces of the 5-cell: edges and faces outside the rhombicosidodecahedron, in some neighboring rhombicosidodecahedron.{{Efn|name=orthogonal triacontagram projections}} Each 5-cell face is shared by two tetrahedral cells of one 5-cell. It has its three 104.5° {{radic|5}} edges in three distinct {12} central planes, and is parallel to a fourth {12} central plane. In each rhombicosidodecahedron there are ten sets of five parallel planes: a {12} central plane, a pair of 5-cell faces on either side of it (from disjoint 5-cells), and a pair of rhombicosidodecahedron triangle faces. Each rhombicosidodecahedron is sliced into five parallel planes, ten distinct ways.

There is no face sharing between 5-cells: the 120 5-cells in the 120-cell are completely disjoint. 5-cells never share any elements, but they are related to each other positionally, in groups of six, in the '''characteristic rotation of the regular 5-cell'''. That rigid isoclinic rotation takes the six 5-cells within each group to each other's positions, and back to their original positions, in a circuit of 15 rotational displacements.{{Sfn|Mamone, Pileio &amp; Levitt|2010|loc=§4.5 Regular Convex 4-Polytopes, Table 2, Symmetry operations|pp=1438-1439|ps=; in symmetry group 𝛢&lt;sub&gt;4&lt;/sub&gt; the operation [15]𝑹&lt;sub&gt;q3,q3&lt;/sub&gt; is the 15 distinct rotational displacements which comprise the class of pentadecagram isoclinic rotations of the 5-cell; in symmetry group 𝛨&lt;sub&gt;4&lt;/sub&gt; the operation [1200]𝑹&lt;sub&gt;q3,q13&lt;/sub&gt; is the 1200 distinct rotational displacements which comprise the class of pentadecagram isoclinic rotations of the 120-cell.}} Each displacement takes every 104.5° 5-cell edge of length {{radic|5}} to an edge 75.5° and {{radic|3}} away in another 5-cell in the group of six 5-cells. The 30 vertices of the six 5-cells rotate along 15-chord helical-circular isocline paths from 5-cell to 5-cell, before closing their circuits and returning the moving 5-cells to their original locations and orientations.{{Efn|In an [[24-cell#Isoclinic rotations|isoclinic rotation]], each point anywhere in the 4-polytope moves an equal distance in four orthogonal directions at once, on a [[W:8-cell#Radial equilateral symmetry|4-dimensional diagonal]]. The point is displaced a total [[W:Pythagorean distance|Pythagorean distance]] equal to the square root of four times the square of that distance. The orthogonal distance equals half the total Pythagorean distance. For example, when the {{radic|2}}-radius 5-cell rotates isoclinically 104.5° in the invariant central planes of its 104.5° edges of length {{radic|5}}, each vertex is displaced to another vertex  75.5° and {{radic|3}} away, moving {{radic|3/4}} in four orthogonal directions at once.|name=isoclinic 4-dimensional diagonal}}

The six rotationally related 5-cells form a stellated compound, a non-convex 4-polytope with 30 star points.{{Efn|name=compound of six 5-cells}} The star compound, and the rotation of the 5-cell within it, are illustrated by orthogonal projections from four different perspective viewpoints. To help us visualize the 4-polytopes within the 120-cell, we can examine 2-dimensional orthographic projections from various points of view. Such images filtered to include only chords of a single length are especially revealing, because they pick out the edges of a particular 4-polytope, or the isocline chords of its rotational orbits, the chords which link 4-polytopes together. No view of a single chord from a single point of view is sufficient by itself, but if we visualize various chords from various perspectives, we imagine the 4-dimensional rotational geometry of interrelated objects within the 120-cell. 

The star compound as a whole has ten {12} central planes, like a rhombicosidodecahedron. Each {12} central plane contains one edge from each of the six 5-cells. Each {12} central plane is shared by two rhombicosidodecahedra in the group of eleven, and by six 5-cells in the group of six.

== The eleventh chord ==
[[File:Major chord 11 of 135.5° in the 120-cell.png|thumb|The 120-cell contains 200 irregular {12} central planes containing 1200 135.5° {30/11} chords, six in each plane (shown in blue). They lie parallel to six 104.5° {30/8} chords (the 5-cell edges, shown in red), to which they are joined by 15.5° {30/1} 120-cell edges, and by 120° {30/10} great triangle edges (only one of the four great triangles is shown, in green).]]
In addition to six 104.5° {30/8} 5-cell edge chords of length {{radic|5}}, the {12} central plane contains six 135.5° {30/11} chords of length &lt;math&gt;\phi^2&lt;/math&gt;, parallel to the {{radic|5}} chords. The {30/11} chord spans an arc of five shorter chords: 

* 15.5° {30/1} + 44.5° {30/4} + 15.5° {30/1} + 44.5° {30/4} + 15.5° {30/1} = 135.5° {30/11)
* 15.5° {30/1} + 104.5° (30/8) + 15.5° {30/1} = 135.5° {30/11)
* 15.5° {30/1} + 120° (30/10) = 135.5° {30/11)

and its chord length is the linear sum of five shorter chords: 

* 1/𝜙^2 {30/1} + 1/𝜙^2 {30/1} + 1/𝜙 {30/2} + 1/𝜙 {30/2} + 1/𝜙 {30/2} = 𝜙^2 {30/11)

Two distinct chords are always related to each other in two different ways: by their degrees-of-arc-difference, and by their linear difference chord. The 135.5° {30/11) chord is ''two'' 15.5° (30/1) 120-cell edge-arcs longer than the 104.5° (30/8) 5-cell edge chord. But the &lt;math&gt;\phi^2&lt;/math&gt; {30/11} chord ''length'' is just ''one'' {30/1} 120-cell edge chord length longer than the {{radic|5}} {30/8} 5-cell edge chord.{{Efn|In a &lt;small&gt;&lt;math&gt;\sqrt{2}&lt;/math&gt;&lt;/small&gt;-radius 120-cell, the 15.5° {30/1} 120-cell edge chord has length &lt;small&gt;&lt;math&gt;\phi^{-2}&lt;/math&gt;&lt;/small&gt;. The 25.2° {30/2} pentagon face diagonal chord of length &lt;small&gt;&lt;math&gt;\phi^{-1}&lt;/math&gt;&lt;/small&gt; is &lt;small&gt;&lt;math&gt;\phi&lt;/math&gt;&lt;/small&gt; times the {30/1} edge length. The 41.1° 5-cell isocline chord of length &lt;small&gt;&lt;math&gt;\sqrt{1}&lt;/math&gt;&lt;/small&gt; is &lt;small&gt;&lt;math&gt;\phi^2&lt;/math&gt;&lt;/small&gt; times the {30/1} edge length. The 69.8° chord of length &lt;small&gt;&lt;math&gt;\phi&lt;/math&gt;&lt;/small&gt; is &lt;small&gt;&lt;math&gt;\phi^3&lt;/math&gt;&lt;/small&gt; times the {30/1} edge length. The 135.5° {30/11} 11-cell edge chord of length &lt;small&gt;&lt;math&gt;\phi^2&lt;/math&gt;&lt;/small&gt; is &lt;small&gt;&lt;math&gt;\phi^4&lt;/math&gt;&lt;/small&gt; times the {30/1} edge length.}}  

The {30/11} chord can be bisected into two shorter 120-cell chords in three different ways: 

* 15.5° {30/1} 120-cell edge + 104.5° {30/8} 5-cell edge = {30/11} chord
* 25.2° {30/2} 120-cell pentagon face diagonal + 90° {30/15} 16-cell edge = {30/11} chord
* 41.4° {30/1}+{30/2} chord + 69.8° {30/2}+{30/1}+{30/2} chord = {30/11} chord

[[File:Regular_star_polygon_30-11.svg|thumb|The [[W:Triacontagon#Triacontagram|{30/11} regular triacontagram]] of the 11-cell rotation.{{Sfn|Ruen: Triacontagon|2011|loc=§Triacontagram compounds and stars}} In this 2-dimensional projection of a 30-edge 4-dimensional helix ring, the 30 chords pictured lie in 30 distinct central planes, and no two planes are orthogonal.]]
The last of those bisections trisects the {30/11} chord into three distinct shorter chords: 

* 15.5° {30/1} + 25.2° {30/2} + 44.5° {30/4} chord = 135.5° {30/11} chord

The {30/11} chords do not form triangle faces within the rhombicosidodecahedron the way the {30/8} chords do, but they do meet at a tetrahedral vertex figure. 

Groups of 11 rhombicosidodecahedra (an 11-cell) share central planes pairwise, including all the chords in the {12} central plane. When 11 things, all pairwise-adjacent to each other, are arranged in any circuit of 30 positions, there exists another pairwise circuit of 30 positions through every eleventh position, whether the things are 11 vertices, 11 rhombicosidodecahedra, or 11 [[w:Aardvark|aardvarks]] (although it might be unwieldy in practice to so arrange 11 live aardvarks, e.g. by tying them together pairwise with cords in both circuits). This intrinsic property of the [[w:Rational_number|rational number]] 30/11 is responsible for the existence of the {30/11} regular triacontagram (see illustration). The 11 rhombicosidodecahedra of the 11-cell are linked by a regular {30/11} triacontagram of 30 chords which runs through them. Each successive chord of the 30 in the triacontagram is shared by a distinct pair of rhombicosidodecahedra in the 11-cell group. An isoclinic rotation characteristic of the 11-cell takes the rhombicosidodecahedra in each 11-cell to each other's positions, pair by pair, in a circuit of 30 rotational displacements. It takes every {12} central plane to a Clifford parallel {12} central plane that is 44.5° away in two completely orthogonal angles. One 135.5° {30/11} chord separates each of the 12 vertex pairs. 

In this '''characteristic rotation of the 11-cell''' in its edge planes, the invariant planes are {12} central planes, the edges of the 11-cell are {30/11} chords, and the isocline chords of the vertex orbits are also {30/11} 11-cell edges, because the triacontagram is regular.{{Efn|In the 120-cell there are three ''regular isoclinic rotations'' in which the rotation edge and the isocline chord are the same chord. These rotations are each described by a [[W:Triacontagon#Triacontagram|regular triacontagram]]: the {30/7} rotation characteristic of the 16-cell in great square invariant planes, the {30/11} rotation characteristic of the 11-cell, and the {30/13} rotation.}} The 44.5° {30/4} chord of length &lt;small&gt;&lt;math&gt;\sqrt{3}/\phi&lt;/math&gt;&lt;/small&gt;, the 180° complement of the {30/11} chord, is the orthogonal distance between nearest parallel {30/11} chords.{{Efn|In its characteristic isoclinic rotation, a 4-polytope rotates an equal arc distance in each invariant {12} edge plane in each rotational displacement. In the 11-cell, every invariant plane rotates 44.5° (like a wheel), and tilts sideways 44.5° (like a coin flipping) in the completely orthogonal invariant plane, to occupy another invariant plane in the group of eleven. Each pair of original and destination {12} central planes are Clifford parallel and intersect only at one point (the center of the 4-polytope), but six other {12} central planes intersect them both. Two parallel {30/11} chords in each of the six spanning {12} central planes separate two vertex pairs in the original and destination planes, and these are the isocline chords over which the two vertices move in the rotation. None of the six spanning {12} central planes are contained in either the original or destination rhombicosidodecahedron. A total of ten {12} central planes span each original and destination rhombicosidodecahedron; they comprise a third rhombicosidodecahedron which does not belong to the group of eleven. The edges of an 11-cell and the isocline chords of an 11-cell are disjoint sets of {30/11} chords.}} The 60 vertices of each rhombicosidodecahedron rotate in parallel, on non-intersecting 30-chord spiral orbital paths, from rhombicosidodecahedron to rhombicosidodecahedron, before closing their circuits and returning the moving rhombicosidodecahedron to its original location and orientation. In this isoclinic rotation of a rigid 120-cell, the 60 rhombicosidodecahedra do this concurrently. Each of the 600 vertices moves on a 4-dimensionally-curved helical isocline, over a skew regular polygram of 30 {30/11} chords, in which a {30/11} chord connects every eleventh vertex of a {30} triacontagram.

In the course of a complete revolution (the 30 rotational displacements of this isoclinic rotation), an 11-cell visits the positions of three 11-cells (including itself) 10 times each (in 10 different orientations), and returns to its original position and orientation.{{Sfn|Coxeter|1984|loc=§9. Eleven disjoint decagons}} At each step it occupies the same distinct group of 11 rhombicosidodecahedra sharing planes pairwise, and its 11 vertex positions are those of a distinct 11-cell in the group of eleven 11-cells. A group of 4-polytopes related by an isoclinic rotation is contained in a larger compound 4-polytope which subsumes them. This group of eleven 11-cells related by an isoclinic rotation is not a compound of eleven disjoint 11-cells (since they share vertices), but it is a compound of eleven non-disjoint 11-cells, in the same sense that a 24-cell is a compound of three non-disjoint 8-cell tesseracts.

Consider the incidence of these 30-chord {30/11} triacontagram rotation paths, and their intersections. Each rhombicosidodecahedron has 60 vertices and 60 {30/11} chords, which rotate concurrently on Clifford parallel triacontagrams. The 120-cell has only 600 vertices and 1200 {30/11} chords, so at most 20 triacontagrams can be disjoint; some must intersect. But the 11 vertices of an individual 11-cell must be linked by disjoint 30-position {30/11} triacontagram helices, such that their rotation paths never intersect.{{Efn|The isoclines on which a 4-polytope's vertices rotate in parallel never intersect. Isoclinic rotation is a concurrent motion of Clifford parallel (disjoint) elements over Clifford parallel (non-intersecting) circles.}} Each 11-cell has two disjoint triacontagram helicies, its left and right isoclinic rotations, in each of its four discrete fibrations. The 120-cell has 60 distinct {30/11} triacontagram helices, which are 11 disjoint {30/11} triacontagram helices in 11 distinct ways.

{{Sfn|Steinbach|2000|loc=''Sections Beyond Golden''; Figure 5. Optimal sections and proportions|p=37|ps=; the regular polygons {5}, {7}, {9} and {11} with their diagonals define respectively: {5} the golden bisection proportional to 𝜙; {7} an analogous trisection; {9} an analogous quadrasection; {11} an analogous pentasection.}}

== Compounds in the 120-cell ==

[[120-cell#Geometry|The 120-cell is the maximally complex regular 4-polytope]], containing inscribed instances of every kind of regular 1-, 2-, 3-, and 4-polytope, up to the heptagon {7}. The 120-cell is the convex hull of a regular [[120-cell#Relationships among interior polytopes|compound of each of the other 5 regular convex 4-polytopes]].

{{Regular convex 4-polytopes|columns=7|wiki=W:|radius={{radic|2}}|instance=1}}

=== How many building blocks, how many ways ===

The 120-cell is the convex hull of a compound of 75 disjoint 16-cells, of 25 disjoint 24-cells, of 5 disjoint 600-cells, and of 120 disjoint regular 5-cells. Children building the 120-cell up from their 16-cell building blocks will soon learn to protect their sanity by thinking of these nesting 4-polytopes by their alternate names, as ''n''-points symmetrically distributed on the 3-sphere, as synonyms for their conventional names, as ''n''-cells tiling the 3-sphere. They are the 8-point (16-cell), the 16-point (8-cell) tesseract, the 24-point (24-cell), the 120-point (600-cell), and the 600-point (120-cell).

The 8-point (16-cell), not the 5-point (5-cell), is the smallest building block, which compounds to everything else. The 8-point compounds by 2 into the 16-point, and by 3 into the 24-point; what could be simpler? The 16-point compounds into the 24-point by 3 ''non-disjoint instances'' of itself which share pairs of vertices. (We can think of non-disjoint instances as overlapping instances, except that disjoint instances overlap in space too, they just don't have overlapping vertex sets.) The 24-point compounds by 5 disjoint instances of itself in the 120-point, and the 120-point compounds by 5 disjoint instances of itself in the 600-point. So far, our children are happily building, and their castle makes sense to them. Then things get hairy.

The 24-point also compounds by &lt;math&gt;5^2&lt;/math&gt; non-disjoint instances in the 120-point; it compounds into 5 disjoint instances of itself, 10 (not 5) different ways. Whichever way the child builds it, the resulting 120-point, magically, contains 25 distinct 24-points, not just 5 (or 10). This means that 15 disjoint 8-point building blocks will construct a 120-point, which then magically contains 75 distinct 8-points. 

[[File:Ortho solid 016-uniform polychoron p33-t0.png|thumb|Orthogonal projection of the 600-point [[W:Great grand stellated 120-cell|great grand stellated 120-cell]] &lt;small&gt;&lt;math&gt;\{\tfrac{5}{2},3,3\}&lt;/math&gt;&lt;/small&gt;,{{Sfn|Ruen: Great grand stellated 120-cell|2007}} discovered by [[W:Ludwig Schläfli|Ludwig Schläfli]]. Named by [[W:John Horton Conway|John Horton Conway]], extending the naming system by [[W:Arthur Cayley|Arthur Cayley]] for the [[W:Kepler-Poinsot polyhedron#Characteristics|Kepler-Poinsot solids]], and the only one containing all three modifiers in the name.]]
The 600-point is 5 disjoint 120-points, just 2 different ways (not 5 or 10 ways). So it is 10 non-disjoint 120-points. This means the 8-point building block compounds by 3 times &lt;math&gt;5^2&lt;/math&gt; (75) disjoint instances of itself into the 600-point, which then magically contains &lt;math&gt;3^2&lt;/math&gt; times  &lt;math&gt;5^2&lt;/math&gt; (225) distinct instances of the 24-point, and  &lt;math&gt;3^3&lt;/math&gt; times &lt;math&gt;5^2&lt;/math&gt; (675) distinct instances of the original 8-point. 

They will be rare wise children who figure all this out for themselves, and even wiser who can see ''why'' it is so. [[W:Pieter Hendrik Schoute|Schoute]] was the first to see that the 120-point (600-cell) is a compound of 5 24-point (24-cells) ''10 different ways'', and after he saw it a hundred years lapsed until Denney, Hooker, Johnson, Robinson, Butler &amp; Claiborne proved his result, and showed why.{{Sfn|Denney, Hooker, Johnson, Robinson, Butler &amp; Claiborne|2020|loc=''The geometry of H4 polytopes''|ps=; This hexad of scholars from New Orleans, Louisiana extracted the truth from the permutations of the 120-point 600-cell as perspicaciously as Coxeter did from the permutations of the 11-point 11-cell.}}

So much for the compounds of 16-cells. The 120-cell is also the convex hull of the compound of 120 disjoint regular 5-cells. That stellated compound (without its convex hull of 120-cell edges) is the [[w:Great_grand_stellated_120-cell|great grand stellated 120-cell]], the final regular [[W:Stellation|stellation]] of the 120-cell, the only [[W:Schläfli-Hess polychoron|regular star 4-polytope]] to have the 120-cell for its convex hull. The edges of the great grand stellated 120-cell are &lt;math&gt;\phi^6&lt;/math&gt; as long as those of its 120-cell [[W:Stellation core|stellation core]] deep inside.

The compound of 120 regular 5-cells can be seen to be equivalent to the compound of 5 disjoint 600-cells, as follows. Beginning with a single 120-point (600-cell), expand each vertex into a regular 5-cell, by adding 4 new equidistant vertices, such that the 5 vertices form a regular 5-cell inscribed in the 3-sphere. The 120 5-cells are disjoint, and the 600 vertices form 5 disjoint 120-point (600-cells): a 120-cell.

=== Building the building blocks themselves ===

We have built every regular 4-polytope except the 5-cell out of 16-cells, but we haven't made the 16-cell (or the 5-cell) out of anything. So far, we have just accepted them both a priori, like [[W:Euclid's postulates|Euclid's postulates]], and proceeded to build with them. But it turns out that while they are the two atomic regular 4-polytopes, they are not indivisible, and can be built up as honeycombs of identical smaller ''irregular'' 4-polytopes. They are not a priori miracles; like everything else fundamental in nature, including Euclid's postulates, at root they are an expression of a distinct [[w:Symmetry_group|symmetry group]].

Every regular convex ''n''-polytope can be subdivided into instances of its characteristic [[W:Orthoscheme|Schläfli orthoscheme]] that meet at its center. An ''n''-orthoscheme (not an ''n''-[[w:Orthoplex|orthoplex]]!) is an ''irregular'' ''n''-[[w:Simplex_(geometry)|simplex]] with faces that are various right triangles instead of congruent equilateral triangles. A characteristic ''n''-orthoscheme possesses the complete symmetry of its ''n''-polytope without any redundancy, because it contains one of each of the polytope's characteristic root elements. It is the gene for the polytope, which can be replicated to construct the polytope.{{Efn|A [[W:Schläfli orthoscheme|Schläfli orthoscheme]] is a [[W:Chiral|chiral]] irregular [[W:Simplex|simplex]] with [[W:Right triangle|right triangle]] faces that is characteristic of some polytope because it will exactly fill that polytope with the reflections of itself in its own [[W:facet (geometry)|facet]]s (its ''mirror walls''). Every regular polytope can be partitioned radially by its planes of symmetry (Coxeter's &quot;reflecting circles&quot;) into instances of its [[W:Orthoscheme#Characteristic simplex of the general regular polytope|characteristic orthoscheme]] surrounding its center. The characteristic orthoscheme and its chiral mirror image can be replicated rotationally to generate its regular 4-polytope because it is the complete [[W:gene|gene]] for it, containing all of its elements and capturing all of its symmetry without any redundancy. It has the shape described by the same [[W:Coxeter-Dynkin diagram|Coxeter-Dynkin diagram]] as the regular polytope without the ''generating point'' ring that triggers the reflections.|name=Characteristic orthoscheme}}

The regular 4-simplex (5-cell) is subdivided into 120 instances of its [[5-cell#Orthoschemes|characteristic 4-orthoscheme]] (an irregular 5-cell) by all of its &lt;math&gt;A_4&lt;/math&gt; planes of symmetry at once intersecting at its center, so its symmetry is of order 120. The 120-cell is the convex hull of the regular compound of 120 disjoint regular 5-cells, so it can be subdivided into &lt;small&gt;&lt;math&gt;120\times 120 = 14400&lt;/math&gt;&lt;/small&gt; of these 4-orthoschemes, so that is the symmetry order of the 120-cell.

The regular 4-orthoplex (16-cell) is subdivided into 384 instances of its [[16-cell#Tetrahedral constructions|characteristic 4-orthoscheme]] (another irregular 5-cell) by all of its &lt;math&gt;B_4&lt;/math&gt; planes of symmetry at once intersecting at its center, so its symmetry is of order 384. The 120-cell is the convex hull of the regular compound of 75 disjoint 16-cells (which have 2-fold reflective symmetry), so its symmetry is of order &lt;small&gt;&lt;math&gt;75\times 384 / 2 = 14400&lt;/math&gt;&lt;/small&gt;.

The regular 24-point (24-cell) is subdivided into 1152 instances of its [[24-cell#Characteristic orthoscheme|characteristic 4-orthoscheme]] (yet another irregular 5-cell) by all of its &lt;math&gt;F_4&lt;/math&gt; planes of symmetry at once intersecting at its center, so its symmetry is of order 1152. The 120-cell is the convex hull of the regular compound of 25 disjoint 24-cells (which have 2-fold reflective symmetry), so its symmetry is of order &lt;small&gt;&lt;math&gt;25\times 1152 / 2 = 14400&lt;/math&gt;&lt;/small&gt;.

The regular 120-point (600-cell) is subdivided into 14400 instances of its [[600-cell#Characteristic orthoscheme|characteristic 4-orthoscheme]] (yet another irregular 5-cell) by all of its &lt;math&gt;H_4&lt;/math&gt; planes of symmetry at once intersecting at its center, so its symmetry is of order 14400. The regular 600-point (120-cell) is the convex hull of the regular compound of 5 disjoint 600-cells (which have 5-fold reflective symmetry), so its symmetry is of order &lt;small&gt;&lt;math&gt;5 \times 14400 / 5 = 14400&lt;/math&gt;&lt;/small&gt;.

=== Building with sticks ===

[[File:15 major chords.png|thumb|300px|The 15 major chords {30/1} ... {30/15} join vertex pairs which are 1 to 15 edges apart on a skew {30} [[w:Petrie_polygon|Petrie polygon]] of the 120-cell.{{Efn|Drawing the fan of major chords with #1 and #11 at a different origin than all the others was an artistic choice, since all the chords are incident at every vertex. We could just as well have fanned all the chords from the same origin vertex, but this arrangement notices the important parallel relationship between #8 and #11, and calls attention to the 11-cell's maverick edge chord.|name=fan of 15 major chords}} The 15 minor chords (not shown) fall between two major chords, and their length is the sum of two other major chords; e.g. the 41.4° minor chord of length {30/1}+{30/2} falls between the 36° {30/3} and 44.5° {30/4} chords.]]
We have seen how all the regular convex 4-polytopes except the 5-cell, including the largest one on the cover of the box, can be built from a box containing 675 16-cell building blocks, provided we can arrange the blocks on top of one another in 4-space, as interpenetrating objects. An alternate box, containing 120 regular 5-cell building blocks, builds the great grand stellated 120-cell (the picture on ''its'' cover), by the same method. In these boxes, the atomic building part is one of the two smallest regular 4-polytopes (5-cell or 16-cell), each generated by its characteristic isoclinic rotation as an expression of its symmetry group (&lt;math&gt;A_4&lt;/math&gt; or &lt;math&gt;B_4&lt;/math&gt;).

All the regular convex 4-polytopes, including the largest one on the cover of the box, can also be built from a box containing a certain number of building sticks and rubber joints, provided we can connect the sticks together in 4-space with the rubber joints. In this box, the atomic building parts are 1-dimensional edges and chords of just 15 distinct arc-lengths. The regular 4-polytopes do not contain a vast variety of stick lengths, but only 30 of them: only 15 unique pairs of 180° complementary chords. The 15 ''major chords'' {30/1} ... {30/15} suffice to construct all the regular 4-polytopes. The 15 ''minor chords'' occur only in the 120-cell, not in any smaller regular 4-polytope; they emerge as a consequence of building the largest 4-polytope on the cover of the box from major chords.

In polytope geometry, each chord of a polytope is both is a distinct 1-dimensional object, a chord of the unit-radius sphere of a distinct length &lt;math&gt;l&lt;/math&gt;, and a distinct rational number &lt;math&gt;h&lt;/math&gt;, a unique flavor. If the polytope is regular, it is a noteworthy distinctive flavor. The chord's length &lt;math&gt;l&lt;/math&gt; is a square root, related to the rational number &lt;math&gt;h = k/d&lt;/math&gt; and to the polygon &lt;small&gt;&lt;math&gt;\{k/d\}&lt;/math&gt;&lt;/small&gt; it represents, by a formula discovered by Steinbach.{{Sfn|Steinbach|1997|loc=''Golden Fields''; §1. The Diagonal Product Formula|pp=22-24|ps=; The product of two diagonals is a sum of a sequence of diagonals (in the fan, every other one) centered on the longer of the two, for all regular polygons. We may express products and quotients of diagonals &lt;math&gt;d_k&lt;/math&gt; of an &lt;math&gt;n&lt;/math&gt;-gon (with edge &lt;math&gt;d_0=1&lt;/math&gt;) as linear combinations of diagonals.}} The chord length &lt;math&gt;l&lt;/math&gt; is related to the number of sides of the regular polygon &lt;small&gt;&lt;math&gt;\{k\}&lt;/math&gt;&lt;/small&gt;, and to the winding number or density of the polygram (its denominator &lt;math&gt;d&lt;/math&gt;).{{Sfn|Kappraff &amp; Adamson|2004}} The largest &lt;math&gt;k&lt;/math&gt; of any major chord in the 120-cell is 30, and the polygrams &lt;small&gt;&lt;math&gt;\{30/d\}&lt;/math&gt;&lt;/small&gt; represent all the skew Petrie polygons and characteristic isoclinic rotations of the regular 4-polytopes.

== Concentric 120-cells ==

The 8-point 16-cell, not the 5-point 5-cell, is the smallest regular 4-polytope which compounds to every larger regular 4-polytope. The 5-point 5-cell is also an atomic building block, but one that compounds to nothing else regular except the leviathan 120-cell polytope: the picture on the cover of the box, that is built from everything in the box. In the [[User:Dc.samizdat/A symmetrical arrangement of eleven 11-cells#Build with the blocks|sequence of 4-polytope compounds]], we actually start with the 16-cell at the small end, and the 5-cell emerges only at the large end.

To build with the 16-cell blocks, we simply put them on top of each other as interpenetrating compounds. We can build every other regular 4-polytope from them by that method, except the individual regular 5-cell. We can also try to build with the 5-cell that way, as when we tried to build a 4-polytope of 11 hemi-icosahedral cells from 11 5-cells, but that was rather hard going. We somehow found 5-cell edges and faces lurking inside hemi-icosahedral rhombicosidodecahedra, and 11 rhombicosidodecahedra sharing central planes pairwise, and even the edges and characteristic rotation of the 11-cell, but we didn't quite get all the way to a discrete 11-cell 4-polytope made from 11 5-cells.

That's because ''compounding'' isn't the easiest method for building with the 5-cell. The 5-cell is the last building block hierarchically, not the first, and the most natural way to build with it is in reverse, by ''subdividing'' it, to find all the parts inscribed inside it. When we've taken the 5-cell apart, all the ways we possibly can, into certain ''irregular'' 4-polytopes found within it, we will have a new set of irregular 4-polytope building blocks, which compound to the 5-cells and everything else, including the 11-cells.

Subdividing a polytope is done by a geometric operation called ''[[w:Truncation_(geometry)|truncation]]''. There are myriad ways to truncate a 5-cell, each corresponding to a distinct ''depth'' of truncation at a particular point on an edge, or a line on a face, or a face on a cell, where a piece of the 5-cell is cut off. The simplest truncations, such as [[w:Rectification_(geometry)|cutting off each vertex at the midedge of each incident edge]], have been very well-studied; but how should we proceed? Let us see what happens when we [[w:Truncated_5-cell|truncate the 5-cells]] found in the 120-cell, by the simplest kinds of truncation. These three semi-regular 10-cells are closely related truncations of the regular 5-cell: 

* The 30-point 10-cell [[w:Bitruncated_5-cell|bitruncated 5-cell]] is the convex hull, and the convex common core, of a stellated compound of six 5-cells.
* The 20-point 10-cell [[w:Truncated_5-cell|truncated 5-cell]] is the convex hull, and the convex common core, of a stellated compound of four 5-cells.
* The 10-point 10-cell [[w:Rectified_5-cell|rectified 5-cell]] is the convex hull, and the convex common core, of a stellated compound of two 5-cells.
In the following sections, we explore the effect of performing these truncations on the 120-cell's 120 5-cells. We begin by identifying some promising truncation points on the 120-cell's 5-cell edge chords at which to cut.

If we cut off the 120-cell's 600 vertices at some point on its 1200 5-cell edges, we create new vertices on the edges of the 120 5-cells, which lie on a smaller 3-sphere than the 120-cell. How many vertices does the smaller 4-polytope thus created have? That is, how many distinct 5-cell edge truncation points occur in the 120-cell? As many as 1200, the number of 5-cell edges, or perhaps 2400, if each edge is truncated at both ends. But also perhaps fewer; for example, if the 120-cell contains pairs of 5-cells with intersecting edges, and the edges intersect at the point on each edge where we make our cut.

[[File:Great_(12)_chords_of_radius_√2.png|thumb|400px|Chords of the radius {{radic|2}} 120-cell in one of its 200 irregular {12} dodecagon central planes. The {{radic|2}} chords form two regular {6} hexagons (black).{{Efn|name=compound of 5 cuboctahedra}} The 120-cell edges form two irregular {6} hexagons (red truncated triangles) with the {{radic|5}} chords. The {6} intersection points (black) of the {{radic|5}} chords form a smaller red regular hexagon of radius {{radic|1}} (inscribed in the red circle).]]In the irregular {12} central plane chord diagram, we see six truncation points on the six 104.5° 5-cell edges of length {{Radic|5}}, where two co-planar 5-cell edges intersect, directly under the midpoint of a 44.5° chord (and under the intersection point of two 60° chords). The six truncation points lie on a red circle that is a circumference of the smaller 4-polytope created by this truncation. They form a red regular hexagon inscribed in the red circle. The edge length of this regular hexagon is {{radic|1}}.

The two intersection points on the {{Radic|5}} chord divide it into its golden sections. The center section of the chord is &lt;small&gt;&lt;math&gt;1&lt;/math&gt;&lt;/small&gt;. The center section plus either of the smaller sections is &lt;small&gt;&lt;math&gt;\phi = \tfrac{\sqrt{5} + 1}{2} \approx 1.618&lt;/math&gt;&lt;/small&gt;, the larger golden section. Each of the two smaller sections is &lt;small&gt;&lt;math&gt;\Phi = \phi - 1 = \tfrac{1}{\phi} \approx 0.618&lt;/math&gt;&lt;/small&gt;, the smaller golden section.{{Efn|The bitruncated {30/8} chord of the 120-cell provides a geometric derivation of the golden ratio formulas. Consider a 120-cell of radius &lt;small&gt;&lt;math&gt;2\sqrt{2}&lt;/math&gt;&lt;/small&gt; in which the {30/8} chord is &lt;small&gt;&lt;math&gt;2\sqrt{5}&lt;/math&gt;&lt;/small&gt; and the center section of the chord is &lt;small&gt;&lt;math&gt;2&lt;/math&gt;&lt;/small&gt;. Divide results by &lt;small&gt;&lt;math&gt;2&lt;/math&gt;&lt;/small&gt; to get a radius &lt;small&gt;&lt;math&gt;\sqrt{2}&lt;/math&gt;&lt;/small&gt; result. The left section of the chord is:
:&lt;small&gt;&lt;math&gt;\tfrac{\sqrt{5} - 1}{2} \approx 0.618&lt;/math&gt;&lt;/small&gt;
The center section plus the right section is:
:&lt;small&gt;&lt;math&gt;\tfrac{1 + \sqrt{5}}{2} \approx 1.618&lt;/math&gt;&lt;/small&gt;
The sum of these two golden sections is &lt;small&gt;&lt;math&gt;\sqrt{5} \approx 2.236&lt;/math&gt;&lt;/small&gt;, the chord length.}}

The smaller golden sections &lt;small&gt;&lt;math&gt;\Phi \approx 0.618&lt;/math&gt;&lt;/small&gt; of the 5-cell edge are the same length as the 120-cell's 25.2° pentagon face diagonal chords. No 25.2° chords appear in the {12} central plane diagram, because they do not lie in {12} central planes.

Each 104.5° 5-cell edge chord of length {{Radic|5}} has ''two'' points of intersection with other 5-cell edges, exactly 60° apart, the ''arc'' of a 24-cell edge chord, but with ''length'' {{radic|1}}. The center segment of the 5-cell edge, between the two intersection points, is a 24-cell edge in the smaller 4-polytope, and the red hexagon is a [[24-cell#Great hexagons|24-cell's great hexagon]] in the smaller 4-polytope. Nine other of its great hexagons, in other planes, each intersect with an antipodal pair of these {6} vertices. The dihedral angles between hexagon planes in a 24-cell are 60°, and four great hexagons intersect at each vertex. The 1200 5-cell edges, with two intersection points each, are reduced to 600 distinct vertices, so the smaller 4-polytope is a smaller 120-cell.

The larger 120-cell, of radius {{radic|2}}, is concentric to a smaller instance of itself, of radius {{radic|1}}. Each 120-cell contains 225 distinct (25 disjoint) inscribed 24-cells. The smaller 24-cells are the [[w:Inscribed_sphere|insphere]] duals of the larger 24-cells. The vertices of the smaller 120-cell are located at the octahedral cell centers of the 24-cells in the larger 120-cell. Four 5-cell edges meet in 600 tetrahedral vertex figures. Four orthogonally intersecting 5-cell edges of the larger 120-cell meet in cubic vertex figures of 24-cells in the smaller 120-cell. Two disjoint 5-cell tetrahedral vertex figures are inscribed in alternate positions in each 24-cell cubic vertex figure. The 24-cell edges of the smaller 120-cell are the 5-cell edges of the larger 120-cell, truncated at both ends. The distance between the two points of intersection on a {{radic|5}} chord is {{radic|1}}, the same length as the 41.4° chord. But the actual 41.4° chords of the 120-cell do not appear in this diagram at all, because they do not lie in the 200 irregular {12} dodecagon central planes. 

=== Bitruncating the 5-cells ===
The smaller concentric 120-cell can be built from 5-cell building blocks, by applying a specific kind of truncation operation to the blocks of the larger 120-cell called [[w:Bitruncation|''bitruncation'']]. This reveals a smaller irregular 4-polytope inside each 5-cell called the [[w:Bitruncated_5-cell|bitruncated 5-cell]]. The smaller unit-radius 120-cell is the convex hull of a compound of 20 disjoint (and 60 distinct) bitruncated 5-cells, bitruncated from the 120 disjoint 5-cells of the larger {{Radic|2}}-radius 120-cell. Bitruncation of the 120 disjoint 5-cells is the same truncation of the 120-cell described in the previous section, at the two golden section truncation points on each 104.5° 5-cell edge where two co-planar 5-cell edges intersect.

[[File:Truncatedtetrahedron.gif|thumb|A 12-point [[w:Truncated_tetrahedron|truncated tetrahedron]] cell of the 30-point 10-cell [[w:Bitruncated_5-cell|bitruncated 5-cell]].{{Sfn|Cyp: Truncated tetrahedron|2005}} Its edges are 41.4° chords of length 1 in a  {{radic|2}}-radius 120-cell (or length {{radic|1/2}} in a unit-radius 120-cell). The 120-cell contains 20 disjoint (60 distinct) bitruncated 5-cells, containing 600 distinct truncated tetrahedra.]]
The bitruncated 5-cell is a 30-vertex convex 4-polytope with 10 [[W:Truncated tetrahedron|truncated tetrahedron]] cells that have faces of two kinds: 4 triangle faces opposite 4 hexagon faces. The bitruncated 5-cell has 60 edges of the same length, 20 triangle faces, and 20 hexagon faces. Its 20 hexagon face planes are not [[24-cell#Great hexagons|24-cell central plane hexagons]]; they intersect each other at their edges, not at their long diameters. Its edges are not 60° 24-cell edge chords (the {{radic|2}} or 1 radius chords), but shorter 41.4° chords (of length 1 or {{radic|1/2}}), which do not appear at all in the diagram above, because they do not lie in the {12} central planes. The long diameter of the hexagon faces is not a 180° 120-cell long diameter chord (of length 2{{radic|2}} or 2) but a 90° 16-cell edge chord (of length 2 or {{radic|2}}). Consequently, three 16-cell tetrahedron cells (from three disjoint 16-cells) are inscribed in each truncated tetrahedron, at the three vertices of each face triangle.

The truncated tetrahedron cell is a truncation of a tetrahedron of the same size as the tetrahedral cells of the 120-cell's 5-cells. The four smaller tetrahedra truncated from the corners of the larger tetrahedron have edges which are 25.2° chords (of length 1/𝜙 or {{radic|0.19}}). The truncated tetrahedron edges (of length 1 or {{radic|1/2}}) are equal in length to the 41.4° center sections of the 104.5° 5-cell edge chords (of length {{radic|5}} or {{radic|5/2}}). The shorter diagonal of the hexagon faces is the 75.5° chord (of length {{radic|3}} or {{radic|1.5}}), which is the 180° complement of the 104.5° 5-cell edge chord. The dimensions of the truncated tetrahedron cell suggest that it was cut directly from a 5-cell tetrahedron cell, simply by cutting off the tetrahedron corners, but remarkably, that is not the case. The edges of the bitruncated 5-cell are not actually center sections of 5-cell edges, although they are exactly that length, because the edges of the bitruncated 5-cell do not lie in the same {12} central planes as the 5-cell edges. They are not colinear with 5-cell edges in any way, and only intersect 5-cell edges at vertices (the 5-cell edges' intersection points). Bitruncation of the 5-cells does ''not'' simply truncate each tetrahedron cell in place. By creating new edges which connect the intersection points of 5-cell edges, bitruncation does create 600 truncated tetrahedron cells perfectly sized to fit within the 600 original tetrahedron cells, but at new locations, not centered on an original 5-cell tetrahedron cell. These new locations lie on a smaller 3-sphere than the original locations.

[[File:Bitruncated_5-cell_net.png|thumb|Net of the bitruncated 5-cell honeycomb. 10 truncated tetrahedron cells alternately colored red and yellow.{{Sfn|Ruen: Net of the bitruncated 5-cell|2007}}]]
The 3-dimensional surface of each bitruncated 5-cell is a honeycomb of 10 truncated tetrahedron cells. The truncated tetrahedra are joined face-to-face in a 3-sphere-filling honeycomb (like the cells of any 4-polytope), at both their hexagon and triangle faces. Each hexagonal face of a cell is joined in complementary orientation to the neighboring cell. Three cells meet at each edge, which is shared by two hexagons and one triangle. Four cells meet at each vertex in a [[w:Tetragonal_disphenoid|tetragonal disphenoid]] vertex figure.

The 30-point bitruncated 5-cell is the convex common core (spatial [[w:Intersection|intersection]]) of six 5-point 5-cells in dual position. These six 5-cells are completely disjoint: they share no vertices, but their edges intersect orthogonally, at two points on each edge. Four 5-cell edges, from four of the six 5-cells, cross orthogonally in 30 places, the two intersection points on 60 5-cell edges: the 30 vertices of a bitruncated 5-cell. The six 5-cells are three dual pairs (in two different ways) of the self-dual 5-cell: six pairs of duals reciprocated at their common midsphere. Each dual pair intersects at just one of the two intersection points on each edge.{{Sfn|Klitzing|2025|loc=''sted'' (Stellated Decachoron)|ps=; [https://bendwavy.org/klitzing/incmats/sted.htm ''sted''] is the compound of two [https://bendwavy.org/klitzing/incmats/pen.htm ''pen'' (Pentachoron)] in dual position. Their intersection core (&quot;Admiral of the fleet&quot;) is [https://bendwavy.org/klitzing/incmats/deca.htm ''deca'' (decachoron aka bitruncated pentachoron)].}} 

We have seen these six 5-cells before, illustrated in ''[[User:Dc.samizdat/A symmetrical arrangement of eleven 11-cells#Eleven|§Eleven]]'' above; they are the compound of six completely disjoint 5-cells visited during each 5-cell's characteristic isoclinic rotation of period 15.{{Efn|1=The 5-cell edges of the six disjoint pentagrams in the {30/12}=6{5/2} triacontagram illustration do not appear to intersect, as the 5-cell edge chords of the bitruncated 5-cell compound are said to intersect. The {30/12}=6{5/2} projection is a perspective view from inside the curved 3-dimensional space of the 120-cell's surface, looking straight down a cylindrical column of six stacked 5-cells. None of the 5-cell edges intersect in that curved 3-space, except where they meet at the 30 120-cell vertices. The 60 5-cell edges do intersect orthogonally in 4-space, in groups of four, at 30 points which lie on a smaller 3-sphere than the 120-cell. None of those 4-space intersections are visible in these projections of points and lines on the 120-cell's 3-sphere surface.|name=5-cell edges do not intersect is S&lt;sup&gt;3&lt;/sup&gt;}} The six 5-cell compound is a stellated 4-polytope with 30 star-points, inscribed in the 120-cell.{{Efn|The stellated compound of six 5-cells in dual position is three pairs of 5-cells reciprocated at their common midsphere. It is composed of dual pairs of the [[W:Compound of five tetrahedra|compound of five tetrahedra]], which form the [[W:Compound of ten tetrahedra|compound of ten tetrahedra]]; its 30 tetrahedral cells are three such dual pairs. In the compound of five tetrahedra the edges of the tetrahedra do not intersect. In the compound of ten tetrahedra they intersect orthogonally, but not at their midpoints. Each edge has two points of intersection on it. The compound of ten tetrahedra is five pairs of dual tetrahedra reciprocated at their common midsphere. It is inscribed in a dodecahedron (its convex hull). Its ''stellation core'' is an icosahedron, but its ''common core'' where the tetrahedron edges intersect is a dodecahedron, the tetrahedrons' convex spatial intersection. The stellated compound of six 5-cells has the analogous property: it is inscribed in a bitruncated 5-cell (its convex hull), and its common core is a smaller bitruncated 5-cell. (Its stellation core is a [[W:Truncated 5-cell#Disphenoidal 30-cell|disphenoidal 30-cell]], its dual polytope.)|name=compound of six 5-cells}} It is 1/20th of the 600-point [[User:Dc.samizdat/A symmetrical arrangement of eleven 11-cells#How many building blocks, how many ways|great grand stellated 120-cell]], the compound of 120 5-cells. The convex hull of its 30 star-points is a bitruncated 5-cell. In this stellated compound of six 5-cells in dual position, the bitruncated 5-cell occurs in two places and two sizes: as both the convex hull, and the convex common core, of the six 5-cells. Inscribed in the larger 120-cell of radius {{radic|2}}, the convex hull of every six 5-cell compound is a bitruncated 5-cell with 60 edges of length 1. The convex common core of every six 5-cell compound is a bitruncated 5-cell with 60 edges of length {{radic|1/2}}, inscribed in the smaller 120-cell of radius 1.

In the 120-cell, 120 disjoint 5-cell building blocks combine in dual position groups of six related by the 5-cell's isoclinic rotation, to make 60 bitruncated 5-cells inscribed in the self-dual 5-cells' midsphere (at their edge intersections), and also 60 larger bitruncated 5-cells inscribed in the 120-cell, with each of the 600 vertices shared by three bitruncated 5-cells. The 120-cell is the convex hull of a compound of 20 disjoint (60 distinct) 30-point bitruncated 5-cells, generated by the characteristic rotation of its 120 completely disjoint 5-cells.{{Sfn|Klitzing|2025|loc= ''teppix'' (tripesic hexacosachoron)|ps=; ''[https://bendwavy.org/klitzing/incmats/teppix.htm teppix]'' is a compound of 60 [https://bendwavy.org/klitzing/incmats/deca.htm ''deca'' (decachoron aka bitruncated pentachoron)] with 3 ''deca'' sharing each vertex.}}{{Efn|In the 120-cell, 600 tetrahedron cells of 120 completely disjoint 5-cells intersect at two truncation points on each edge. Those 2400 truncation points are the vertices of 200 disjoint (and 600 distinct) truncated tetrahedra, which are the cells of 20 disjoint (and 60 distinct) bitruncated 5-cells. The 60 bitruncated 5-cells share vertices, but not edges, faces or cells. Each bitruncated 5-cell finds its 30 vertices at the 30 intersection points of 4 orthogonal 5-cell edges, belonging to 6 disjoint 5-cells, in the original 120-cell. Each bitruncated 5-cell vertex lies on an edge of 4 disjoint original 5-cells. Each bitruncated 5-cell edge touches intersection points on all 6 disjoint original 5-cells, and is shared by 3 truncated tetrahedra of just one bitruncated 5-cell.}}

In [[User:Dc.samizdat/A symmetrical arrangement of eleven 11-cells#Concentric 120-cells|the previous section]] we saw that the six 5-cell edges in each central plane intersect at the {6} vertices of the red hexagon, a great hexagon of a 24-cell. Each 5-cell edge, truncated at both ends at those intersection points, is a 24-cell edge of one of the 24-cells inscribed in a smaller 120-cell: the 600 intersection points. In this section we have seen how that truncation of 5-cell edges at both ends is the bitruncation of the 5-cell, and those 5-cell edges, truncated at both ends, are the same length as edges of bitruncated 5-cells inscribed in the original 120-cell. Bitruncating the {{radic|2}}-radius 120-cell's 120 5-cells reveals a smaller unit-radius 120-cell. The 24-cell edges of the smaller 120-cell are 5-cell edges of a larger-radius-by-{{radic|2}} 120-cell, truncated at both ends. Both 120-cells have 24-point 24-cells and 30-point bitruncated 5-cells inscribed in them. The 60° edge length of the 24-cells equals the radius; it is {{radic|2}} times the 41.4° edge length of the bitruncated 5-cells. The 60° 24-cell edges lie in the {12} central planes with the 5-cell edges and the 120-cell edges; but the 41.4° bitruncated 5-cell edges do not. The 120-cell contains 25 disjoint (225 distinct) 24-cells, and 20 disjoint (60 distinct) bitruncated 5-cells. Although regular 5-cells do not combine to form any regular 4-polytope smaller than the 120-cell, the 5-cells do combine to form semi-regular bitruncated 5-cells which are subsumed in the 120-cell.{{Efn|Although only major chords occur in regular 4-polytopes smaller than the 120-cell, minor chords do occur in semi-regular 4-polytopes smaller than the 120-cell. Truncating the 5-cell creates minor chords, such as the 41.1° edges of the bitruncated 5-cell.}}

The 41.4° edge of the 30-point bitruncated 5-cell is also the triangle face edge we found in the 60-point central [[User:Dc.samizdat/A symmetrical arrangement of eleven 11-cells#The real hemi-icosahedron|section 8&lt;sub&gt;3&lt;/sub&gt; (Moxness's Hull #8) rhombicosidodecahedron]]. There are 60 distinct section 8&lt;sub&gt;3&lt;/sub&gt; rhombicosidodecahedra and 600 distinct truncated tetrahedron cells of 60 distinct (20 disjoint)  bitruncated 5-cells, and they share triangle faces, but little else. The truncated tetrahedron cells cannot be inscribed in the rhombicosidodecahedra, and the only chords they share are the 41.4° triangle edge and the 75.5° chord (the 180° complement of the 104.5° 5-cell edge chord).

The section 8&lt;sub&gt;3&lt;/sub&gt; rhombicosidodecahedron's 20 triangle faces lie over the centers of 20 larger-by-√2 5-cell faces, parallel to them and to a {12} central plane. The 5-cell faces are inscribed in the rhombicosidodecahedron, but are not edge-bound to each other; the 20 faces belong to 10 completely disjoint 5-cells. The 5-cell edges (but not the 5-cell faces) lie in {12} central planes; the 5-cell faces, the bitruncated 5-cell edges and their triangle and hexagon faces do not. Each section 8&lt;sub&gt;3&lt;/sub&gt; rhombicosidodecahedron is the intersection of ten {12} central planes, shared pairwise with ten other rhombicosidodecahedra; 11 rhombicosidodecahedra share ten {12} central planes pairwise, as cells of a 4-polytope share face planes pairwise. Each truncated tetrahedron cell of a bitruncated 5-cell shares none of the {12} central planes; it is the intersection of 6 great rectangles, with two parallel 41.1° edges lying in each, alternating with two parallel 138.6° chords (its hexagon face diameters). Each bitruncated 5-cell is the intersection of 30 great rectangle {4} central planes.

A truncated tetrahedron is face-bonded to the outside of each triangle face of a rhombicosidodecahedron. Three of its hexagon faces stand on the long edge of a rectangle face, perpendicular to the rectangle.

We find the 25.2° chord as the edge of the non-central section 6&lt;sub&gt;3&lt;/sub&gt; (Moxness's Hull #6) rhombicosidodecahedron. Those 120 semi-regular rhombicosidodecahedra have only that single edge (of length 1/𝜙 in a {{radic|2}}-radius 120-cell, or 1/𝜙{{radic|2}} in a unit-radius 120-cell). This edge length is in the golden ratio to the 41.4° edge of the 30-point bitruncated 5-cells, which is also the triangle face edge of the central section 8&lt;sub&gt;3&lt;/sub&gt; (Moxness's Hull #8) rhombicosidodecahedron. The 120 semi-regular section 6&lt;sub&gt;3&lt;/sub&gt; rhombicosidodecahedra share their smaller edges with 720 pentagonal prisms, 1200 hexagonal prisms and 600 truncated tetrahedron cells, in a semi-regular honeycomb of the 120-cell discovered by Alicia Boole Stott and described in her 1910 paper.{{Sfn|Boole Stott|1910|loc=Table of Polytopes in S&lt;sub&gt;4&lt;/sub&gt;|ps=; &lt;math&gt;e_2e_3C_{120}\ RID\ P_5\ P_6\ tT&lt;/math&gt;}} These truncated tetrahedra are 1/𝜙 smaller than the 600 cells of the bitruncated 5-cells.

The 60 distinct section 8&lt;sub&gt;3&lt;/sub&gt; rhombicosidodecahedra (Moxness's Hull #8) share pentagon faces. Each of the 120 dodecahedron cells lies just inside 12 distinct rhombicosidodecahedra which share its volume. Each rhombicosidodecahedron includes a ball of 13 dodecahedron cells, 12 around one at the center of the rhombicosidodecahedron, within its volume. The remainder of the rhombicosidodecahedron is filled by 30 dodecahedron cell fragments that fit into the concavities of the 13 cell ball of dodecahedra. These fragments have triangle and rectangle faces.

=== Rectifying the 16-cells ===
Bitruncation is not the only way to truncate a regular polytope, or even the simplest way. The simplest method of truncation is [[w:Rectification_(geometry)|''rectification'']], complete truncation at the midpoint of each edge.

Moreover, the 5-cell is not the only 120-cell building block we can truncate. We saw how bitruncation of the {{radic|2}}-radius 120-cell's 5-cells reveals the smaller unit-radius 120-cell, as the convex hull of a compound of 20 disjoint (60 distinct) bitruncated 5-cells. In the next paragraph we describe how rectification of the {{radic|2}}-radius 120-cell's 16-cells also reveals the smaller unit-radius 120-cell, as the convex hull of a compound of 25 disjoint (225 distinct) 24-cells. Those two operations on the 120-cell are equivalent. They are the same truncation of the 120-cell, which bitruncates 5-cells into bitruncated 5-cells, and also rectifies 16-cells into 24-cells. This single truncation of the 120-cell captures the distant relationship of 5-cell building blocks to 16-cell building blocks.

Rectifying a {{radic|2}}-radius 16-cell of edge 2 creates a unit-radius 24-cell of unit edge, which is the compound of three unit-radius 16-cells. Rectifying one of those inscribed unit-radius 16-cells of edge {{radic|2}} creates a smaller 24-cell of radius and edge {{radic|1/2}}, which is the [[24-cell#Relationships among interior polytopes|common core (intersection]]) of the unit 24-cell and its three inscribed 16-cells. Like the 120-cell itself, the 24-cell is concentric to a smaller instance of itself of {{radic|1/2}} its radius. The common core of each of the 24-cells inscribed in the 120-cell is the corresponding 24-cell in the smaller 120-cell.

=== Rectifying the 5-cells ===
In the previous section we bitruncated the 5-cells and rectified the 16-cells, as one combined truncation operation that yields a smaller 120-cell of {{radic|1/2}} the radius. We can also rectify the 5-cells; but that is another distinct truncation operation, that yields a smaller 4-polytope of {{radic|3/8}} the radius.

[[File:Great (12) chords of rectified 5-cell.png|thumb|400px|5-cell edge chords of the radius {{radic|2}} 120-cell in one of its 200 irregular {12} dodecagon central planes. The {6} bitruncation points (two on each of the 104.5° {{radic|5}} 5-cell edges) lie on a smaller 120-cell of radius 1 (the red circle); they are bitruncated 5-cell vertices. The {6} rectification points (at the midpoints of the 5-cell edges) lie on a still smaller 1200-point 4-polytope of radius {{radic|0.75}} ≈ 0.866 (the magenta circle); they are rectified 5-cell vertices.]]
Rectifying the 5-cell creates the 10-point 10-cell semi-regular [[W:Rectified 5-cell|rectified 5-cell]], with 5 tetrahedral cells and 5 octahedral cells. It has 30 edges and 30 equilateral triangle faces. The 3-dimensional surface of the rectified 5-cell is an alternating [[W:Tetrahedral-octahedral honeycomb|tetrahedral-octahedral honeycomb]] of just 5 tetrahedra and 5 octahedra, tessellating the 3-sphere. Its vertex figure is the cuboctahedron.

The rectified 5-cell is a [[w:Blind_polytope|Blind polytope]], because it is convex with only regular facets. It is a bistratic lace tower which has exactly three vertex layers with the same Coxeter symmetry, aligned on top of each other.{{Sfn|Klitzing|2025|loc=''[https://bendwavy.org/klitzing/incmats/rap.htm rap (rectified pentachoron)]''}}

If the 120 5-cells in a radius {{radic|2}} 120-cell are rectified, the rectified 5-cells lie on a smaller 4-polytope of radius {{radic|3/4}} (the magenta circle in the diagram), inscribed at the 1200 midedges of the 5-cells.{{Efn|{{radic|3/4}} ≈ 0.866 is the long radius of the {{radic|2}}-edge regular tetrahedron (the ''unit-radius'' 16-cell's cell). Those four tetrahedron radii are not orthogonal, and they radiate symmetrically compressed into 3 dimensions (not 4). The four orthogonal {{radic|3/4}} ≈ 0.866 displacements summing to a 120° degree displacement in the unit-radius 24-cell's characteristic isoclinic rotation{{Efn|name=isoclinic 4-dimensional diagonal}} are not as easy to visualize as radii, but they can be imagined as successive orthogonal steps in a path extending in all 4 dimensions, along the orthogonal edges of the [[24-cell#Characteristic orthoscheme|24-cell's 4-orthoscheme]]. In an actual left (or right) isoclinic rotation the four orthogonal {{radic|3/4}} ≈ 0.866 steps of each 120° displacement are concurrent, not successive, so they ''are'' actually symmetrical radii in 4 dimensions. In fact they are four orthogonal [[24-cell#Characteristic orthoscheme|mid-edge radii of a unit-radius 24-cell]] centered at the rotating vertex. Finally, in 2 dimensional units, {{radic|3/4}} ≈ 0.866 is the ''area'' of the equilateral triangle face of the unit-edge, unit-radius 24-cell.|name=root 3/4}} This smaller 4-polytope is not a smaller 120-cell; it is the convex hull of a 1200-point compound of two 120-cells. The rectified 5-cell does not occur inscribed in the 120-cell; it only occurs in this compound of two 120-cells,  240 regular 5-cells, and 120 rectified 5-cells. The rectified 5-cell with its 80.4° edge chord does not occur anywhere in a single 120-cell, so the rectified 5-cell's edges are not the edges of any polytope found in the 120-cell. The rectified 5-cell's significance to the 120-cell is well-hidden, but we shall see that it has an indirect role as a building block of the 11-cells in the 120-cell.

Each 10-point rectified 5-cell is the convex hull of a stellated compound of two completely orthogonal 5-point 5-cells: five pairs of antipodal vertices. Their edges intersect at the midedge, and they are ''not'' in dual position (not reciprocated at their common 3-sphere). In this stellated compound of two completely orthogonal 5-cells (which does not occur in the 120-cell), the rectified 5-cell occurs in two places and two sizes: as both the convex hull of the vertices, and the convex common core of the midedge intersections.

The edge length of the rectified 5-cells in the smaller 1200-point 4-polytope of radius {{radic|3/4}} is {{radic|5/4}}. The edge length of a unit-radius rectified 5-cell is {{radic|5/3}}. The rectified 5-cell is characterized by the ratio between its edge and its radius, {{radic|5}} to {{radic|3}}, the way the regular 5-cell is characterized by the ratio {{radic|5}} to {{radic|2}}. In the 120-cell of radius {{radic|2}}, the 104.5° {{radic|5}} chord is the 5-cell edge, and the 75.5° {{radic|3}} chord is the distance between two parallel 5-cell edges (belonging to two disjoint 5-cells). The 104.5° and 75.5° chords are 180° complements, so they form great rectangles in the {12} central planes of the 120-cell (the red rectangles in the diagram). In the 1200-point compound of two 120-cells of radius {{radic|3}} where 120 rectified 5-cells occur, the {{radic|3}} chord is the ''radius'' (not the 75.5° chord), and the {{radic|5}} chord is the ''rectified'' 5-cell edge of arc 80.4° (not the 104.5° regular 5-cell edge).

=== Truncating the 5-cells ===
[[File:Great (12) chords of unit thirds radius.png|thumb|400px|Truncating the 120-cell's 5-cells at ''one-third'' of their edge length produces a smaller 120-cell of ''one-half'' the radius, with vertices at {6} one-third intersection points of the 120° {{Radic|6}} chords (''not'' of the 104.5° {{Radic|5}} 5-cell edge chords). The green {6} hexagon is a 24-cell great hexagon in the resulting smaller-by-one-half 1200-point 4-polytopes. Because there are {12} such intersection points in each {12} central plane, there are two chiral ways to perform this truncation, which produce disjoint 1200-point 4-polytopes.]]
A third simple way to truncate the 5-cell is at one-third of its edge length. This truncation of the 5-cell creates a 20-point, 10-cell semi-regular 4-polytope, known somewhat ambiguously as ''the'' [[w:Truncated_5-cell|truncated 5-cell]], with 5 truncated tetrahedron cells (like the bitruncated 5-cell's), and 5 regular tetrahedron cells (like the rectified 5-cell's).

The 3-dimensional surface of the truncated 5-cell is an alternating honeycomb of 5 truncated tetrahedra and 5 regular tetrahedra. It resembles the smaller rectified 5-cell with truncated tetrahedra instead of octahedra, or the larger bitruncated 5-cell with half its truncated tetrahedra replaced by regular tetrahedra. 

When the regular 5-cell is truncated at ''one-third'' of its edge length, the radius and edge length of the the resulting truncated 5-cell are ''one-half'' the regular 5-cell's radius and edge length. When the 120 5-cells in a 120-cell of radius 2 are truncated at one-third of their edge length, the truncated 5-cells lie on a smaller 120-cell of radius 1. The edge length of the unit-radius truncated 5-cell is {{radic|5/8}}, one-half the unit-radius 5-cell's edge length of {{radic|5/2}}. The rectified 5-cell is characterized by the ratio between its edge and its radius, {{radic|5}} to {{radic|8}}, the way the regular 5-cell is characterized by the ratio {{radic|5}} to {{radic|2}}, and the rectified 5-cell is characterized by the ratio {{radic|5}} to {{radic|3}}.

The 20-point truncated 5-cell is the convex common core of a stellated compound of four 5-cells (the four 5-cells' spatial intersection). The convex common core has half the radius of the convex hull of the compound. The four 5-cells are orthogonal (aligned on the four orthogonal axes), but none of their 20 vertices are antipodal. The 5-cells are ''not'' in dual position (not reciprocated at their common 3-sphere). The 5-cell edges do ''not'' intersect, but truncating the 120-cell's 5-cell edge chords at their one-third points truncates the 120-cell's other chords similarly. It is the 120-cell's 120° chords (of length {{Radic|6}} in a {{Radic|2}}-radius 120-cell, or {{Radic|3}} in a unit-radius 120-cell) which intersect each other at their one-third points. Four edges (one from each 5-cell) intersect orthogonally at just ''one'' of the two one-third intersection points on each of the 2400 120° chords that join vertices of two disjoint 5-cells. There are two chiral ways to perform this truncation of the 120-cell; they use the alternate intersection points on each edge, and produce disjoint 600-point 120-cells. 

The 52.25° edge chord of the truncated 5-cell (one-half the 5-cell's 104.5° edge chord) is not among the [[120-cell#Chords|chords of the 120-cell]], so the truncated 5-cell does not occur inscribed in the 120-cell; it occurs only in a compound of four 120-cells, and 480 regular 5-cells, and 120 truncated 5-cells. In the stellated compound of four orthogonal 5-cells (which does not occur in the 120-cell), the truncated 5-cell occurs in two places and two sizes: as both the convex hull of the 20 vertices, and the convex common core (of half the radius of the convex hull) of the 20 intersection points of four orthogonal 120° chords.

== The perfection of Fuller's cyclic design ==
[[File:Jessen's unit-inscribed-cube dimensions.png|thumb|400px|Jessen's icosahedron on the 2-sphere of diameter {{radic|5}} has an inscribed unit-cube. It has 4 orthogonal axes (not shown) through the equilateral face centers (the inscribed cube's vertices), 6 non-orthogonal {{radic|5}} long diameter axes, and 3 orthogonal parallel pairs of {{radic|4}} reflex edges, {{radic|1}} apart.]]

This section is not an historical digression, but a deep dive to the heart of the matter, like Coxeter on Todd's perfect pentads. In this case the heart is found in the [[Kinematics of the cuboctahedron|kinematics of the cuboctahedron]],{{Sfn|Christie|2022|loc=''[[Kinematics of the cuboctahedron|Kinematics of the cuboctahedron]]''}} first described by [[W:Buckminster Fuller|Buckminster Fuller]].{{Sfn|Christie: On Fuller's use of language|2024|loc=''[[W:User:Dc.samizdat#Bucky Fuller and the languages of geometry|Bucky Fuller and the languages of geometry]]''}}

After inventing the rigid geodesic dome, Fuller studied a family of domes which have no continuous compression skeleton, but only disjoint rigid beams joined by tension cables. Fuller called these envelopes ''tension integrity structures'', because they possess independent tension and compression elements, but no elements which do both. One of the simplest [[w:Tensegrity|tensegrity]] structures is the [[w:Tensegrity#Tensegrity_icosahedra|tensegrity icosahedron]], first described by [[W:Kenneth Snelson|Kenneth Snelson]], a master student of Fuller's.{{Efn|Fuller failed to credit [[W:Kenneth Snelson|Snelson]] for the first ascent of the tensegrity icosahedron, a sad lapse for a great educator, as if Coxeter had not gracefully acknowleged Grünbaum. Snelson taught it to Fuller, his teacher, at a Black Mountain College summer session&lt;ref&gt;{{Citation|year=1949|title=R. Buckminster Fuller|publisher=Museum and Arts Center, 1948-1949|place=Black Mountain College|url=https://www.blackmountaincollege.org/buckminster-fuller}}&lt;/ref&gt; where Fuller taught the geodesic domes he had invented, and the nascent principles of tension integrity geodesics he was exploring. It would have burnished Fuller's own reputation to gratefully acknowledge his exceptionally quick student's discovery. No doubt Fuller was about to discover the tensegrity icosahedron himself, but Snelson saw it first.&lt;ref&gt;{{Citation|last=Snelson|first=Kenneth|author-link=W:Kenneth Snelson|publisher=Stanford University|title=Bucky Conversations: Conversations on the Life and Work of an Enigmatic Genius|year=2003|url=https://searchworks.stanford.edu/view/mf245gr4637|postscript=; Ken Snelson, at a symposium on Fuller's legacy, acknowledged that Fuller led him up to the tensegrity icosahedron. Snelson said that he then conceived it on his own, built the first physical model, and presented it to Fuller.}}&lt;/ref&gt;|name=Snelson and Fuller}}

A tensegrity icosahedron is an icosahedral geodesic sphere whose 6 orthogonal reflex compression struts float gently in space, linked only by 24 tension cables which frame equilateral faces of the icosahedron, the whole 2-sphere expanding and contracting symmetrically with ''infinitesimal mobility'', a spring-like symmetrical motion leveraged from whatever tiny amount of elasticity remains in the steel struts and cables.

The polyhedron that is the basis for this flexible structure is the Jessen's icosahedron, that we found 10 of in Moxness's Hull #8 rhombicosidodecahedron, the real cell of the 11-cell. The Jessen's was named by [[w:Adrien_Douady|Douady]] the ''six-beaked shaddock'' because it resembles the fish whose normal affect is with their mouth 90° open, but a cubical shadfish with mouths on all six sides. At the limits, the gender neutral shad can open their six beaks all the way, until they become flat squares and they becomes a cuboctahedron, or they can shut them all tight like a turtle retracting into their octahedron shell. The six mouths always move in unison. This is [[Kinematics of the cuboctahedron#Jitterbug transformations|Fuller's ''jitterbug'' transformation]] of the 12-point ''vector equilibrium'', his name for the unstable [[Kinematics of the cuboctahedron|kinematically flexing cuboctahedron]]. Fuller found that its always-symmetric transformation through 4 distinct forms of the same 12-vertex polyhedron was a closed cycle with two equilibrium points, one stable and the other unstable. The shad's normal 90° open visage is the stable point, the shape the [[Kinematics_of_the_cuboctahedron#Elastic-edge transformation|elastic tensegrity icosahedron]] rests in and strives to return to. The widest-open square-faced cuboctahedron is the unstable inflection point, where the shad gets to decide non-deterministically (that is, without being compelled one way or the other) whether or not to do their ''really'' odd trick -- where they flip their 6 jaws 90 degrees in their 6 faces and shut their 6 beaks on the opposite axis of their squares than the one they opened them on -- or whether they will just shut them all the same way again. Interestingly, the regular icosahedron is one of the shad's guises too, just slightly more gaping than their normal visage. Fuller made a meal of the shad, finding all the insightful things to say about the kinematics of the only fish who can make their edge length exactly the same size as their radius, when they open their mouths all the way. Fuller built physical models of the 12-point vector equilibrium, and even gave demonstrations to audiences of the flexible shad, opening and closing their mouths in spherical synchrony, their 4 pairs of opposite equilateral triangles spiraling toward and away from each other in parallel, always opposed like the two triangles inscribed in a hexagon, counter-rotating like dual [[W:Propellor|tri-propellors]] as they dance toward each other until their edges meet in an octahedron (a hexad), then backing away again while still rotating in the same directions. All this was overlaid with Fuller's own deep commentary, in physical language anyone can understand. Bucky flew the shad through the inflection points in its [[W:Spinor|spinor]] orbit, explaining its [[W:Möbius_loop|Möbius loop]] with vivid apt similes like trimming a submarine's ballast tanks, stalling an airplane at apogee, and nature's abhorrence of the unstable equilibrium point.{{Sfn|Fuller|1975|ps=; In this film Fuller carefully folds a model of the cuboctahedron made of rigid struts with flexible joints through the entire transformation cycle; he also shows how a rigid regular icosahedron can be rotated inside an inscribing &quot;vector edge cube&quot; (a cube with an octahedron inscribed in it), keeping the 12 vertices on the surface of the cube (and on the edges of the octahedron inscribed in the cube) at all times.}}

Earlier, we noticed 10 Jessen's inscribed in each 60-point rhombicosidodecahedron central section of the 120-cell (each real hemi-icosahedron). Each rhombicosidodecahedron is a compound of 5 disjoint Jessen's, in two different ways, just the way the 120-cell is a compound of 5 disjoint 600-cells, in two different ways. In the rhombicosidodecahedron each regular icosahedron vertex has been replaced by the five vertices of a little pentagon face (a 120-cell face), and the regular icosahedron has been replaced by 5 disjoint (10 distinct) Jessen's icosahedra.{{Efn|name=compound of 5 cuboctahedra}} The 3 pairs of parallel 5-cell edges in each Jessen's lie a bit uncertainly, infinitesimally mobile and [[Kinematics of the cuboctahedron#Elastic-edge transformation|behaving like the struts of a tensegrity icosahedron]], so we can push any parallel pair of them apart or together infinitesimally, making each Jessen's icosahedron expand or contract infinitesimally. All 600 Jessen's, all 60 rhombicosidodecahedra, and the 120-cell itself expand or contract infinitesimally, together.{{Efn|name=tensegrity 120-cell}} Expansion and contraction are Boole Stott's operators of dimensional analogy, and that infinitesimal mobility is the infinite calculus of an inter-dimensional symmetry.  

The Jessen's unique element set is its 6 long reflex edges, which occur in 3 parallel opposing pairs. Each pair lies in its own central plane, and the 3 central planes are the orthogonal central planes of the octahedron, the orthonormal (x,y), (y,z), and (x,z) planes of a Cartesian basis frame. The 6 reflex edges are all disjoint from one another, but each pair of them forms a merely conceptual great rectangle with the pair of invisible exterior chords that lies in the same central plane. These three great rectangles are storied elements in topology, the [[w:Borromean_rings|Borromean rings]]. They are three rectangular chain links that pass through each other and would not be separated even if all the other cables in the tensegrity icosahedron were cut; it would fall flat but not apart, provided of course that it had those 6 invisible exterior chords as still uncut cables.

[[File:Jessen's √2 radius dimensions.png|thumb|400px|Moxness's 60-point section 8&lt;sub&gt;3&lt;/sub&gt; rhombicosidodecahedron is a compound of 5 of this 12-point Jessen's icosahedron, shown here in a {{radic|2}}-radius 3-sphere with {{radic|5}} reflex edges. It has an inscribed {{radic|1.5}} green cube, and its 8 equilateral triangle faces are 24-cell faces. This is a ''vertex figure'' of the 120-cell. The center point is also a vertex of the 120-cell.]]
As a matter of convenience in this paper, we have used {{radic|2}}-radius metrics for 3-sphere polytopes, so e.g. the 5-cell edge is {{radic|5}}, where in unit-radius coordinates it would be {{Radic|5/2}}. Here we give two illustrations of the Jessen's using two different metrics: the 2-sphere Jessen's has a {{radic|5}} diameter, and the 3-sphere Jessen's has a {{radic|2}} radius. This reveals a curiously cyclic way in which our 2-sphere and 3-sphere metrics correspond. In the embedding into 4-space the characteristic root factors of the Jessen's seem to have moved around. In particular, the {{radic|5}} chord has moved to the former {{radic|4}} chord.

We might have expected to find the 6-point hemi-icosahedron's 5-cell triangular faces identified with the Jessen's 8 equilateral triangle faces somehow, but they are not the same size, so that is not the way the two polytopes are identified. The {{radic|5}} reflex edges of the Jessen's are the 5-cell edges. A 5-cell face has its three {{radic|5}} edges in three different Jessen's icosahedra.

The Jessen's is not a cell, but one of the 120-cell's vertex figures, like the [[600-cell#Icosahedra|120 regular icosahedron vertex figures in the 600-cell]]. That is why we find 600 Jessen's, of course. The center point in this Jessen's illustration is another ''vertex'' of the 120-cell, not the empty center of a cell.{{Efn|The 13 vertices of the illustration which include its center point lie in the curved 3-space of the 3-sphere, on the 120-cell's surface. In 4-space, this object is an [[W:Icosahedral pyramid|icosahedral pyramid]] with a Jessen's icosahedron as its base, and the apical center vertex as its apex. The center point in the illustration is a vertex of the 120-cell, and the center of the curved Jessen's, and the apex of the icosahedral pyramid, but it is not the center point in 4-space of a flat 3-dimensional Jessen's icosahedron. The center point of the base Jessen's icosahedron is a point inside the 120-cell, not a 120-cell vertex on its surface. It lies in the same 3-dimensional flat-slice hyperplane as the 12 vertices of the base Jessen's icosahedron, directly below the 13th 120-cell vertex.}} 

Each Jessen's includes the central apex vertex, {{radic|2}} radii, {{radic|2}} edges and {{radic|5}} chords of a vertex figure around the 120-cell vertex at its center. The {{radic|2}} face edges are 24-cell edges (also tesseract edges), and the inscribed green cube is the 24-cell's cube vertex figure. The 8 {{radic|2}} face triangles occur in 8 distinct 24-cells that meet at the apex vertex.{{Efn|Eight 24-cells meet at each vertex of a [[24-cell#Radially equilateral honeycomb|honeycomb of 24-cells]]: each one meets its opposite at that shared vertex, and the six others at a shared octahedral cell.{{Efn|In the 600-cell, which contains [[600-cell#Twenty-five 24-cells|25 24-cells]], 5 24-cells meet at each vertex. Each pair of 24-cells at the vertex meets at one of 200 distinct great hexagon central planes. Each 24-cell shares one of its great hexagons with 16 other 24-cells, and is completely disjoint from 8 other 24-cells. In the 120-cell, which contains 10 600-cells (5 disjoint 600-cells two different ways) and 225 24-cells (25 disjoint 24-cells), 8 24-cells meet at each vertex. Each 24-cell shares one of its great hexagons with 16 other 24-cells, and is completely disjoint from 208 other 24-cells. But since in the 120-cell the great hexagons lie in pairs in one of 200 {12} central planes (containing 400 great hexagons), each 24-cell shares one of its {12} central ''planes'' with .. other 24-cells.}}}} This Jessen's vertex figure includes 5-cell edges and 24-cell edges (which are also tesseract edges), so it is descriptive of the relationship between those regular 4-polytopes, but it does not include any 120-cell edges or 600-cell edges, so it has nothing to say, by itself, about the &lt;math&gt;H_4&lt;/math&gt; polytopes. It is only a tiny fraction of the 120-cell's full vertex figure, which is a staggeringly complex star: 600 chords of 30 distinct lengths meet at each of the 600 vertices.

The {{radic|5}} chords are 5-cell edges, connecting vertices in different 24-cells. The 3 pairs of parallel 5-cell edges in each Jessen's lie in 3 orthogonal planes embedded in 4-space, so somewhere there must be a 4th pair of parallel 5-cell edges orthogonal to all of them, in fact three more orthogonal pairs, since 6 orthogonal planes (not just 4) intersect at a point in 4-space. The Jessen's situation is that it lies completely orthogonal to another Jessen's, the vertex figure of the antipodal vertex, and its 3 orthogonal planes (xy, yz, zx) lie completely orthogonal to its antipodal Jessen's planes (wz, wx, wy).{{Efn|name=Six orthogonal planes of the Cartesian basis}} These 6 pairs of parallel 5-cell edges form a 24-point 4-polytope, composed of two completely orthogonal 12-point Jessen's, inscribed in two completely orthogonal rhombicosidodecahedra. This 24-point 4-polytope is not a 24-cell: the 24-cell is not a compound of two 12-point Jessen's. But it turns out that two completely orthogonal 12-point Jessen's indirectly define a 24-point 24-cell. We shall see that their 4-space intersection is a 24-cell.

This finding, of two completely orthogonal 12-point Jessen's isomorphic to a 24-cell, brings Fuller's study of [[w:Tesseract#Radial_equilateral_symmetry|radially equilateral]] vector equilibrium polytopes to its completion in the 24-cell. Fuller began with the hexagon, the 6-point vector equilibrium in 2 dimensions, the only polygon with its radius equal to its edge length. He studied the cuboctahedron, the 12-point vector equilibrium in 3 dimensions, the only polyhedron with its radius equal to its edge length, in all its flexible guises. He discovered its stable equilibrium as the the Jessen's shadfish, with its cube of 6 open mouths and 90° dihedral angles between all its faces, the geometric center of [[WikiJournal Preprints/Kinematics of the cuboctahedron|the cuboctahedron's kinematic transformation]] through the regular polyhedra: tetrahedron, octahedron, Jessen's, regular icosahedron, and cuboctahedron. Fuller's study of kinematic Euclidean geometry did not reach the 4-polytopes, and the ultimate 24-point vector equilibrium in 4 dimensions, the 24-cell, the unique &lt;math&gt;F_4&lt;/math&gt; symmetry found only in 4 dimensions. But Fuller led us up to it, through the kinematics of infinitesimal mobility, and that route to it is our clue to the infinite calculus of dimensional expansion and contraction.

We observe this geometry, of two completely orthogonal 12-point Jessen's isomorphic to a 24-cell, only in the 120-cell. The 600-cell contains 12-point Jessen's, but no completely orthogonal pairs of them. The 24-cell individually, and the 25 24-cells in the 600-cell, are not occupied by a pair of 12-point Jessen's. The 24-point 24-cell is not, in fact, a compound of two 12-point Jessen's. While the 120-cell's ratio of disjoint 12-point Jessen's to disjoint 24-point 24-cells is &lt;math&gt;50/25 = 2/1&lt;/math&gt;, the ratio of distinct 12-point Jessen's to distinct 24-point 24-cells is &lt;math&gt;600/225 = 8/3 &lt;/math&gt;.

We observe another geometry, of 24-cells in dual positions, only in the 120-cell. No two 24-cells in the 600-cell are in dual positions, but in the 120-cell with 225 distinct 24-cells (25 disjoint 24-cells), every 24-cell is in dual position to other 24-cells. The 24-cell is self-dual, and when two 24-cells of the same radius are in dual position, they are completely disjoint with respect to vertices, but they intersect at the midpoints of their 96 orthogonal edges. Since four orthogonal lines intersect at a point in 4-space, in addition to the midedge radius and the two intersecting edges there is a third intersecting edge through each point of contact: ''three'' 24-cells lie in dual positions to each other, with their orthogonal edges intersecting. Three ''pairs'' of 24-cells lie in orthogonal dual positions to each other, sharing no vertices, but the same 96 midedge points.

We also observe this geometry, of 24-cells in dual positions, in the irregular {12} dodecagon central planes, which have two inscribed great {6} hexagons, offset from each other irregularly by a 15.5° arc on one side (a 120-cell edge chord) and a 44.5° arc on the other side. The 600-cell and the 24-cell contain only great {6} hexagon planes. The two inscribed great {6} hexagons in each {12} central plane belong to a pair of 24-cells in dual position.

We observe inscribed 5-cells only in the 120-cell. The 600-cell has &lt;math&gt;5^2 = 25&lt;/math&gt; distinct 24-cells inscribed in 120 vertices, and is a regular compound of &lt;math&gt;5&lt;/math&gt; disjoint 24-cells in 10 different ways, but it has no inscribed 5-point 5-cells joining corresponding vertices of 5 of its 25 24-cells.{{Efn|The 600-cell does have inscribed 5-point great pentagons joining corresponding vertices of 5 of its 25 24-cells. The 600-cell has 2-dimensional pentads, but only the 120-cell has 4-dimensional pentads.}} The 120-cell has &lt;math&gt;5^2 \times 3^2 = 225&lt;/math&gt; distinct 24-cells inscribed in 600 vertices, and is a regular compound of &lt;math&gt;5^2 = 25&lt;/math&gt; disjoint 24-point 24-cells in 10 different ways, and it has 120 inscribed 5-cells joining corresponding vertices of 5 of its 225 24-cells.

[[File:Great 5-cell √5 digons rectangle.png|thumb|400px|Three {{radic|5}} x {{radic|3}} rectangles (red) are found in 200 central planes of the radius {{radic|2}} 120-cell, and in its 600 Jessen's icosahedra, where 3 orthogonal rectangles comprise each 12-point Jessen's. Each central plane intersects {12} vertices in an irregular great dodecagon. These are the same 200 dodecagon central planes illustrated above, which also contain 6 120-cell edges (solid red), which form two opposing ''irregular'' great hexagons (truncated triangles) with the {{radic|5}} chords. The {12} central planes also contain four {{radic|6}} great triangles (green), inscribed in two {{radic|2}} ''regular'' great hexagons. 1200 smaller {{radic|5}} 5-cell ''face'' triangles (blue) occupy 600 other, non-central planes.]]
The Jessen's eight {{radic|6}} triangle faces lie in eight great {6} hexagons in eight {12} central planes of the 120-cell. The Jessen's {{radic|5}} chords lie in great {4} rectangles ({{radic|5}} by {{radic|3}}) in orthogonal central planes of the Jessen's. These are ''also'' {12} central planes of the 120-cell. We can pick out the {{radic|5}} by {{radic|3}} rectangles in the {12} central plane chord diagrams (bounded by red dashed lines). The Jessen's vertex figure is bounded by eight {12} face planes, and divided by six orthogonal {12} central planes, and all 14 planes are {12} central planes of the 120-cell.

The 5-cells' ''face'' planes are ''not'' central planes of the 120-cell. Recall that 10 distinct Jessen's are inscribed in each rhombicosidodecahedron, as two chiral sets of 5 completely disjoint Jessen's, such that two {{radic|5}} 5-cell edges meet at each vertex of the rhombicosidodecahedron. These are two of the four 5-cell edges that meet at each vertex of the 5-cell: edges of a 5-cell face, 20 of which are disjointly inscribed in each rhombicosidodecahedron. In each Jessen's the 6 {{radic|5}} reflex edges are disjoint, and in each rhombicosidodecahedron only two edges meet at each vertex, but in the 120-cell each {{radic|5}} chord meets three others, that lie in three other Jessen's. Each 5-cell face triangle has each edge in a distinct Jessen's, but the face triangle lies in just one rhombicosidodecahedron. The 1200 5-cell face triangles lie in opposing pairs, in one of 600 ''non-central'' hexagon ''face'' planes.

Each of the 60 rhombicosidodecahedra is a compound of 10 Jessen's (5 disjoint Jessen's in two different ways), just the way the 120-cell is a compound of 10 600-cells (5 disjoint 600-cells in two different ways), and the 120-cell's dodecahedron cell is a compound of 10 600-cell tetrahedron cells (5 disjoint tetrahedra in two different ways).

The 600 Jessen's in the 120-cell occur in bundles of 8 disjoint Jessen's, in 4 completely orthogonal pairs, each pair aligned with one of the four axes of the Cartesian coordinate system. Collectively they comprise 3 disjoint 24-cells in orthogonal dual position. They are [[24-cell#Clifford parallel polytopes|Clifford parallel 4-polytopes]], 3 completely disjoint 24-cells 90° apart, and two sets of 4 completely disjoint Jessen's 15.5° apart.

Opposite triangle faces in a Jessen's occupy opposing positions in opposite great hexagons. In contrast, the two completely orthogonal Jessen's are completely disjoint, with completely orthogonal bounding planes that intersect only at one point, the center of the 120-cell. The corresponding {{radic|6}} triangle faces of two completely orthogonal Jessen's occupy completely orthogonal {12} central planes that share no vertices.

If we look again at a single Jessen's, without considering its completely orthogonal twin, we see that it has 3 orthogonal axes, each the rotation axis of a plane of rotation that one of its Borromean rectangles lies in. Because this 12-point (tensegrity icosahedron) Jessen's lies in 4-space, it also has a 4th axis, and by symmetry that axis too must be orthogonal to 4 vertices in the shape of a Borromean rectangle: 4 additional vertices. We see that the 12-point (vertex figure) Jessen's is part of a 16-point (8-cell) tesseract containing 4 orthogonal Borromean rings (not just 3), which should not be surprising since we already found it was part of a 24-point (24-cell) 4-polytope, which contains 3 16-point (8-cell) tesseracts. Each 12-point (6 {{radic|5}} reflex edge) Jessen's is one of 10 concentric Jessen's in a rhombicosidodecahedron, two sets of 5 disjoint Jessen's rotated with respect to each other isoclinically by 12° x 12° = 15.5°, with a total of 60 disjoint {{radic|5}} edges. Each 12-point (24 {{radic|6}} edge) Jessen's is one of 8 concentric Jessen's in two 24-cells in dual positions, rotated with respect to each other isoclinically by 41.4° x 41.4° = 90°, with a total of 192 {{radic|6}} edges.{{Efn|There are 96 {{radic|6}} chords in each 24-cell, linking every other vertex under its 96 {{radic|2}} edges.}} The 24-point 24-cell has 4 Hopf fibrations of 4 hexagonal great circle fibers, so it is a complex of 16 great hexagons, generally not orthogonal to each other, but containing 3 sets of 4 orthogonal great hexagons. Three Borromean link great rectangles are inscribed in each great hexagon, and three tesseracts are inscribed in each 24-cell. Four of the 6 orthogonal [[w:Borromean_rings|Borromean link]] great rectangles in each completely orthogonal pair of Jessen's are inscribed in each tesseract.

== Conclusion ==

Thus we see what the 11-cell really is: an unexpected seventh regular convex 4-polytope falling between the 600-cell and 120-cell, a quasi-regular compound of 600-cell and 5-cell (an icosahedron-tetrahedron analogue), as the 24-cell is an unexpected sixth regular convex polytope falling between the 8-cell and 600-cell, a quasi-regular compound of 8-cell and 16-cell (a cube-octahedron analogue). Like the 5-cell, the 11-cell is a far-side 4-polytope with its long edges spanning the near and far halves of the 3-sphere. Unlike the 5-cell, the 11-cell's left and right rotational instances are not the same object: they have distinct cell polyhedra, which are duals. The 11-cell is a real regular convex 4-polytope, not just an [[W:abstract polytope|abstract 4-polytope]], but not just a singleton regular convex 4-polytope, and not just a single kind of cell honeycomb on the 3-sphere.{{Sfn|Coxeter|1970|loc=''Twisted Honeycombs''}} Though it is all those things singly, it never occurs singly, but its multiple instances in the 120-cell compound to all those things, and significantly more.

The 11-cell (singular) is the 11-vertex (17 cell) non-uniform Blind 4-polytope, with 11 non-uniform [[W:Rhombicosidodecahedron|rhombicosidodecahedron]] cells. The abstract regular 11-point (11-cell) has a realization in Euclidean 4-space as this convex 4-polytope, with regular facets and regular triangle faces.

The 11-cell (plural) is subsumed in the 120-cell, as all the regular convex 4-polytopes are. The compound of eleven 11-cells (the ..-cell) and Schoute's compound of five 24-cells (the 600-cell) is the quasi-regular 137-point (..-cell) 4-polytope, an object of further study.

The 11-cells' realization in the 120-cell as 600 12-point (Legendre vertex figures) captures precisely the geometric relationship between the regular 5-cell and 16-cell (4-simplex and 4-orthoplex), which are both inscribed in the 11-point (17-cell), 137-point (..-cell) and 600-point (120-cell), but are so distantly related to each other that they are not found together anywhere else. More generally, the 11-cells capture the geometric relationship between the regular ''n''-polytopes of different ''n''.

The symmetry groups of all the regular 4-polytopes are expressed in the 11-cells, paired in a special way with their analogous 3-symmetry groups. It is not simple to state exactly what relates 3-symmetry groups to 4-symmetry groups (there is Dechant's induction theorem),{{Sfn|Dechant|2021|loc=''Clifford Spinors and Root System Induction: H4 and the Grand Antiprism''}} but the 11-cells seem to be the expression of their dimensional analogies.

== Build with the blocks ==

&lt;blockquote&gt;&quot;The best of truths is of no use unless it has become one's most personal inner experience.&quot;{{Sfn|Duveneck|1978|loc=Carl Jung, quoted in ''Life on Two Levels''|p=ii|ps=.{{Sfn|Jung|1961|ps=: &quot;The best of truths is of no use unless it has become one's most personal inner experience. It is the duty of everyone who takes a solitary path to share with society what he finds on his journey of discovery.&quot;}}}}&lt;/blockquote&gt;

&lt;blockquote&gt;&quot;Even the very wise cannot see all ends.&quot;{{Sfn|Tolkien|1954|loc=Gandalf}}&lt;/blockquote&gt;

No doubt this entire essay is too discursive, and mathematically educated writers reach their findings more directly. I have told my story this way, still in a less halting and circuitous manner than it came to me, because it is important to show how I came by my understanding of these objects, since I am not a mathematician. I have been a child building with blocks, and my only guides have been the wiser children who built with the blocks before me, and told me how they did it; that, and my own nearly physical experience building with them, in my imagination. I am at pains to show how that can be done, even by as mathematically illiterate a child as I am.

{{Regular convex 4-polytopes|columns=7|wiki=W:|radius={{radic|2}}|instance=2}}

{{Regular convex 4-polytopes|columns=7|wiki=W:|radius=1}}

== Acknowledgements ==

...

== Notes ==
{{Notelist}}

== Citations ==
{{Reflist}}

== References ==
{{Refbegin}}
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=== 11-cell ===
* {{Citation | last=Grünbaum | first=Branko | author-link=W:Branko Grünbaum | year=1976 | title=Regularity of Graphs, Complexes and Designs | journal=Colloques Internationaux C.N.R.S. | publisher=Orsay | volume=260 | pages=191-197 | url=https://faculty.washington.edu/moishe/branko/BG111.Regularity%20of%20graphs,etc.pdf | ref=}}
* {{Citation | last=Grünbaum | first=Branko | author-link=W:Branko Grünbaum | year=1975 | title=Venn Diagrams and Independent Families of Sets | journal=Mathematics Magazine | volume=48 | issue=1 | url=https://maa.org/sites/default/files/pdf/upload_library/22/Ford/BrankoGrunbaum.pdf | doi=10.1080/0025570X.1975.11976431 }}
* {{Citation | last=Coxeter | first=H.S.M. | author-link=W:Harold Scott MacDonald Coxeter | year=1984 | title=A Symmetrical Arrangement of Eleven Hemi-Icosahedra | journal=Annals of Discrete Mathematics (20): Convexity and graph theory | series=North-Holland Mathematics Studies | publisher=North-Holland | volume=87 | pages=103-114 | doi=10.1016/S0304-0208(08)72814-7 | url=https://www.sciencedirect.com/science/article/pii/S0304020808728147
}}
*{{citation | last1 = Séquin | first1 = Carlo H. | author1-link = W:Carlo H. Séquin | last2 = Lanier | first2 = Jaron | author2-link = W:Jaron Lanier | title = Hyperseeing the Regular Hendacachoron | year = 2007 | journal = ISAMA | publisher=Texas A &amp; M | pp=159-166 | issue=May 2007 | url=https://people.eecs.berkeley.edu/~sequin/PAPERS/2007_ISAMA_11Cell.pdf | ref={{SfnRef|Séquin &amp; Lanier|2007}}}}
*{{citation | last1 = Séquin | first1 = Carlo H. | author1-link = W:Carlo H. Séquin | last2 = Hamlin | first2 = James F. | title = The Regular 4-dimensional 57-cell | doi = 10.1145/1278780.1278784 | location = New York, NY, USA | publisher = ACM | series = SIGGRAPH '07 | journal = ACM SIGGRAPH 2007 Sketches | year = 2007| s2cid = 37594016 | url = https://people.eecs.berkeley.edu/%7Esequin/PAPERS/2007_SIGGRAPH_57Cell.pdf | ref={{SfnRef|Séquin &amp; Hamlin|2007}}}}
*{{citation | last=Séquin | first=Carlo H. | author-link = W:Carlo H. Séquin | title=A 10-Dimensional Jewel | journal=Gathering for Gardner G4GX | place=Atlanta GA | year=2012 | url=https://people.eecs.berkeley.edu/%7Esequin/PAPERS/2012_G4GX_10D_jewel.pdf }}

=== [[Polyscheme|Polyschemes]] ===
{{Regular convex 4-polytopes Refs|wiki=W:}}
=== Illustrations ===
* {{Citation|title=Tensegrity icosahedron structure|title-link=Wikimedia:File:Tensegrity Icosahedron.png|journal=Wikimedia Commons|last1=Burkhardt|first1=Bob|year=1994}}
* {{Citation|author-last=Christie|author-first=David Brooks|year=2024|author-link=W:User:Dc.samizdat|title=Pentahemidemicube|title-link=Wikimedia:File:Pentahemidemicube.png|journal=Wikimedia Commons|ref={{SfnRef|Christie: Pentahemidemicube|2024}}}}
* {{Citation|author-last=Christie|author-first=David Brooks|year=2024|author-link=W:User:Dc.samizdat|title=Pentahemicosahedron|title-link=Wikimedia:File:Pentahemicosahedron.png|journal=Wikimedia Commons|ref={{SfnRef|Christie: Pentahemicosahedron|2024}}}}
* {{Citation|author=Cmglee|date=2019|author-link=W:User:Cmglee|title=Radially-symmetrical five-set Venn diagram devised by Branko Grünbaum|title-link=Wikimedia:File:Symmetrical 5-set Venn diagram.svg|journal=Wikimedia Commons|ref={{SfnRef|Cmglee: Grunbaum's 5-point Venn Diagram|2019|ps=; each individual element of the 5-cell is labelled.}}}}
* {{Citation|author-last=Cyp|year=2005|author-link=W:User:Cyp|title=Truncated tetrahedron, transparent, slowly turning, created with POV-ray|title-link=Wikimedia:File:Truncatedtetrahedron.gif|journal=Wikimedia Commons|ref={{SfnRef|Cyp: Truncated tetrahedron|2005}}}}
* {{Cite book|last=Duveneck|first=Josephine Whitney|title=Life on Two Levels: An Autobiography|year=1978|publisher=William Kaufman|place=Los Altos, CA|ref={{SfnRef|Duveneck|1978}}}}
* {{Citation|author-last=Hise|author-first=Jason|year=2011|author-link=W:User:JasonHise|title=A 3D projection of a 120-cell performing a simple rotation|title-link=Wikimedia:File:120-cell.gif|journal=Wikimedia Commons}}
* {{Cite book|last=Huxley|first=Aldous|author-link=W:Aldous Huxley|title=Ends and Means: An inquiry into the nature of ideals and into the methods employed for their realization|date=1937|publisher=Harper and Brothers|ref={{SfnRef|Huxley|1937}}}}
* {{Cite book|last=Jung|first=Carl Gustav|author-link=W:Carl Jung|title=Psychological Reflections: An Anthology of the Writings of C. G. Jung|date=1961|page=XVII|ref={{SfnRef|Jung|1961}}}}
* {{Citation|author-last=Piesk|author-first=Tilman|date=2018|author-link=W:User:Watchduck|title=Nonuniform rhombicosidodecahedron as rectified rhombic triacontahedron max|title-link=Wikimedia:File:Nonuniform rhombicosidodecahedron as rectified rhombic triacontahedron max.png|journal=Wikimedia Commons|ref={{SfnRef|Piesk: Rhombicosidodecahedron|2018}}}}
* {{Citation|author-last=Piesk|author-first=Tilman|date=2018|author-link=W:User:Watchduck|title=Polyhedron truncated 20 from yellow max|title-link=Wikimedia:File:Polyhedron truncated 20 from yellow max.png|journal=Wikimedia Commons|ref={{SfnRef|Piesk: Truncated icosahedron|2018}}}}
* {{Citation|author-last=Ruen|author-first=Tom|year=2007|author-link=W:User:Tomruen|title=Hemi-icosahedron|title-link=Wikimedia:File:Hemi-icosahedron.png|journal=Wikimedia Commons|ref={{SfnRef|Ruen: Hemi-icosahedron|2007}}}}
* {{Citation|title=Great grand stellated 120-cell|title-link=Wikimedia:File:Ortho solid 016-uniform polychoron p33-t0.png|journal=Wikimedia Commons|last1=Ruen|first1=Tom|year=2007|author-link=W:User:Tomruen|ref={{SfnRef|Ruen: Great grand stellated 120-cell|2007}}}}
* {{Citation|author-last=Ruen|author-first=Tom|year=2019|author-link=W:User:Tomruen|title=Tetrahemihexahedron rotation|title-link=Wikimedia:File:Tetrahemihexahedron rotation.gif|journal=Wikimedia Commons|ref={{SfnRef|Ruen: Tetrahemihexahedron rotation|2019}}}}
* {{Citation|title=Net of the bitruncated 5-cell|title-link=Wikimedia:File:Bitruncated 5-cell net.png|journal=Wikimedia Commons|last1=Ruen|first1=Tom|year=2007|author-link=W:User:Tomruen|ref={{SfnRef|Ruen: Net of the bitruncated 5-cell|2007}}}}
* {{Citation|title=5-cell|title-link=5-cell|journal=Polyscheme|publisher=Wikiversity|editor-last1=Ruen|editor-first1=Tom|editor-link1=W:User:Tomruen|editor-last2=Christie|editor-first2=David Brooks|editor-link2=W:User:Dc.samizdat|year=2024|ref={{SfnRef|Ruen et al. eds. 5-cell|2024}}}}
* {{Citation|title=16-cell|title-link=16-cell|journal=Polyscheme|publisher=Wikiversity|editor-last1=Ruen|editor-first1=Tom|editor-link1=W:User:Tomruen|editor-last2=Christie|editor-first2=David Brooks|editor-link2=W:User:Dc.samizdat|year=2024|ref={{SfnRef|Ruen et al. eds. 16-cell|2024}}}}
* {{Citation|title=24-cell|title-link=24-cell|journal=Polyscheme|publisher=Wikiversity|editor-last1=Ruen|editor-first1=Tom|editor-link1=W:User:Tomruen|editor-last2=Goucher|editor-first2=A.P.|editor-link2=W:User:Cloudswrest|editor-last3=Christie|editor-first3=David Brooks|editor-link3=W:User:Dc.samizdat|year=2024|ref={{SfnRef|Ruen &amp; Goucher et al. eds. 24-cell|2024}}}}
* {{Citation|title=600-cell|title-link=600-cell|journal=Polyscheme|publisher=Wikiversity|editor-last1=Ruen|editor-first1=Tom|editor-link1=W:User:Tomruen|editor-last2=Goucher|editor-first2=A.P.|editor-link2=W:User:Cloudswrest|editor-last3=Christie|editor-first3=David Brooks|editor-link3=W:User:Dc.samizdat|editor-last4=Moxness|editor-first4=J. Gregory|editor-link4=W:User:Jgmoxness|year=2024|ref={{SfnRef|Ruen &amp; Goucher et al. eds. 600-cell|2024}}}}
* {{Citation|title=120-cell|title-link=120-cell|journal=Polyscheme|publisher=Wikiversity|editor-last1=Ruen|editor-first1=Tom|editor-link1=W:User:Tomruen|editor-last2=Goucher|editor-first2=A.P.|editor-link2=W:User:Cloudswrest|editor-last3=Christie|editor-first3=David Brooks|editor-link3=W:User:Dc.samizdat|editor-last4=Moxness|editor-first4=J. Gregory|editor-link4=W:User:Jgmoxness|year=2024|ref={{SfnRef|Ruen &amp; Goucher et al. eds. 120-cell|2024}}}}
* {{Cite book|last=Sandperl|first=Ira|author-link=W:Ira Sandperl|title=A Little Kinder|year=1974|publisher=Science and Behavior Books|place=Palo Alto, CA|isbn=0-8314-0035-8|lccn=73-93870|url=https://www.allinoneboat.org/a-little-kinder-an-old-friend-moves-on/|ref={{SfnRef|Sandperl|1974}}}}
* {{Cite book|last=Tolkien|first=J.R.R.|title=The Lord of the Rings|orig-date=1954|volume=The Fellowship of the Ring|chapter=The Shadow of the Past|page=69|edition=2nd|date=1967|publisher=Houghton Mifflin|place=Boston|author-link=W:J.R.R.Tolkien|title-link=W:The Lord of the Rings|ref={{SfnRef|Tolkien|1954}}}}

{{Refend}}</text>
      <sha1>nr9ouqf1e1xh8zyabcmux6onezyie20</sha1>
    </revision>
  </page>
  <page>
    <title>Wikiversity:Artificial intelligence</title>
    <ns>4</ns>
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    <revision>
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      <contributor>
        <username>Jtneill</username>
        <id>10242</id>
      </contributor>
      <comment>/* See also */ * [[c:Commons:AI-generated media|Commons: AI-generated media]] (Policy)</comment>
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      <text bytes="3113" sha1="80kf6yfh30xmmh8bd2hs69j1yh4y4x1" xml:space="preserve">{{Proposed policy|WV:AI}}

The policy sets out requirements for editors who use [[w:Generative AI|generative artificial intelligence]] (genAI) when contributing to Wikiversity. GenAI refers to machine learning models which generate text ([[w:language model|language model]]s such as [[w:ChatGPT|ChatGPT]], [[w:Google Gemini|Google Gemini]], and [[w:Claude (language model)|Claude]]) but may also involve text-to-image models, text-to-video models, text-to-speech models, and so on, as well as software tools with AI support (such as [[w:Grammarly|Grammarly]], [[w:Google Translate|Google Translate]], and [[w:Notion (productivity software)|Notion]]).

Use of AI-generated text on [[Main page|Wikiversity]] is acceptable if it follows good [[w:scholarly method|scholarly practice]]s including:
* '''Edit summary''': The origin of the text is clearly indicated in the [[Wikiversity:FAQ/Editing/Edit summary|edit summary]], ideally with a publicly available link to the chatbot conversation
* '''Verifiability''' / '''Citations''': The text is [[Wikiversity:Verifiability|verified]] by the contributor and, where [[Wikiversity:Cite sources|citations]] are included, they must be [[w:Fact-checked|fact-checked]] for appropriateness and relevance by the contributor
* '''Human revision''': The AI text should be revised and rewritten by the contributor (or be human-written then improved using AI)
* '''Copyright''': Content must be compatible with [[Wikiversity:Copyrights|Wikiversity’s licensing requirements]] (CC BY-SA). Contributors are responsible for ensuring that any AI-assisted or AI-generated content does not infringe copyright and can be legally shared, modified, and redistributed under this licence. Where the copyright status of AI-generated material is unclear, contributors should exercise caution and avoid inclusion.
* '''Template''': Display the {{tl|AI-generated}} template at the top of pages, or below the description template for files, when the content contains substantial AI-generated material

Given the rapid evolution of genAI and the diverse needs of open education, some contributors may wish to use AI-generated content in ways not covered by this policy. In such cases, seek community input prior to proceeding by initiating a discussion at the [[Wikiversity:Colloquium|Colloquium]].

==See also==
;Discussions
* [[Is the output of ChatGPT copyrighted?]] (Wikidebate)
* [[Should Wikiversity allow editors to post content generated by LLMs?]] (Wikidebate)

;Sister projects
* [[b:Wikibooks:Artificial intelligence|Wikibooks:Artificial intelligence]] (Policy)
* [[c:Commons:AI-generated media|Commons: AI-generated media]] (Policy)
* [[w:Wikipedia:Large language models|Wikipedia:Large language models]] (Information page)

;Wiki Education Foundation
* [https://dashboard.wikiedu.org/training/students/generative-ai Using generative AI tools with Wikipedia] (Training module)

;Wikiversity project guidelines
* [[Motivation and emotion/Assessment/Using generative AI|Using generative AI]] (Motivation and emotion)

[[Category:Artificial intelligence]]
[[Category:Wikiversity policy]]</text>
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        <id>10242</id>
      </contributor>
      <minor />
      <comment>/* See also */</comment>
      <origin>2804113</origin>
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      <text bytes="3123" sha1="kgbh9e5hguw5jjduyo8s8b3s5rcs7l0" xml:space="preserve">{{Proposed policy|WV:AI}}

The policy sets out requirements for editors who use [[w:Generative AI|generative artificial intelligence]] (genAI) when contributing to Wikiversity. GenAI refers to machine learning models which generate text ([[w:language model|language model]]s such as [[w:ChatGPT|ChatGPT]], [[w:Google Gemini|Google Gemini]], and [[w:Claude (language model)|Claude]]) but may also involve text-to-image models, text-to-video models, text-to-speech models, and so on, as well as software tools with AI support (such as [[w:Grammarly|Grammarly]], [[w:Google Translate|Google Translate]], and [[w:Notion (productivity software)|Notion]]).

Use of AI-generated text on [[Main page|Wikiversity]] is acceptable if it follows good [[w:scholarly method|scholarly practice]]s including:
* '''Edit summary''': The origin of the text is clearly indicated in the [[Wikiversity:FAQ/Editing/Edit summary|edit summary]], ideally with a publicly available link to the chatbot conversation
* '''Verifiability''' / '''Citations''': The text is [[Wikiversity:Verifiability|verified]] by the contributor and, where [[Wikiversity:Cite sources|citations]] are included, they must be [[w:Fact-checked|fact-checked]] for appropriateness and relevance by the contributor
* '''Human revision''': The AI text should be revised and rewritten by the contributor (or be human-written then improved using AI)
* '''Copyright''': Content must be compatible with [[Wikiversity:Copyrights|Wikiversity’s licensing requirements]] (CC BY-SA). Contributors are responsible for ensuring that any AI-assisted or AI-generated content does not infringe copyright and can be legally shared, modified, and redistributed under this licence. Where the copyright status of AI-generated material is unclear, contributors should exercise caution and avoid inclusion.
* '''Template''': Display the {{tl|AI-generated}} template at the top of pages, or below the description template for files, when the content contains substantial AI-generated material

Given the rapid evolution of genAI and the diverse needs of open education, some contributors may wish to use AI-generated content in ways not covered by this policy. In such cases, seek community input prior to proceeding by initiating a discussion at the [[Wikiversity:Colloquium|Colloquium]].

==See also==
;Discussions
* [[Is the output of ChatGPT copyrighted?]] (Wikidebate)
* [[Should Wikiversity allow editors to post content generated by LLMs?]] (Wikidebate)

;Sister projects
* [[b:Wikibooks:Artificial intelligence|Wikibooks:Artificial intelligence]] (Policy)
* [[c:Commons:AI-generated media|Wikimedia Commons: AI-generated media]] (Policy)
* [[w:Wikipedia:Large language models|Wikipedia:Large language models]] (Information page)

;Wiki Education Foundation
* [https://dashboard.wikiedu.org/training/students/generative-ai Using generative AI tools with Wikipedia] (Training module)

;Wikiversity project guidelines
* [[Motivation and emotion/Assessment/Using generative AI|Using generative AI]] (Motivation and emotion)

[[Category:Artificial intelligence]]
[[Category:Wikiversity policy]]</text>
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    <revision>
      <id>2804122</id>
      <parentid>2804113</parentid>
      <timestamp>2026-04-10T09:03:31Z</timestamp>
      <contributor>
        <username>Jtneill</username>
        <id>10242</id>
      </contributor>
      <comment>Rewrite to simplify the first paragraph with the assistance of ChatGPT: https://chatgpt.com/s/t_69d8bb8498f481918b2ca3661112981d</comment>
      <origin>2804122</origin>
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      <text bytes="2863" sha1="l9bcysv2eah08g4n4rvm0x9nrfyje3v" xml:space="preserve">{{Proposed policy|WV:AI}}
This policy sets out requirements for contributors who use [[w:Generative AI|generative artificial intelligence]] (genAI) when creating or editing content on Wikiversity. GenAI includes machine learning systems that generate new content (e.g., text, images, audio, video) and AI-assisted tools that meaningfully influence the wording or substance of contributions.

Use of AI-generated text on [[Main page|Wikiversity]] is acceptable if it follows good [[w:scholarly method|scholarly practice]]s including:
* '''Edit summary''': The origin of the text is clearly indicated in the [[Wikiversity:FAQ/Editing/Edit summary|edit summary]], ideally with a publicly available link to the chatbot conversation
* '''Verifiability''' / '''Citations''': The text is [[Wikiversity:Verifiability|verified]] by the contributor and, where [[Wikiversity:Cite sources|citations]] are included, they must be [[w:Fact-checked|fact-checked]] for appropriateness and relevance by the contributor
* '''Human revision''': The AI text should be revised and rewritten by the contributor (or be human-written then improved using AI)
* '''Copyright''': Content must be compatible with [[Wikiversity:Copyrights|Wikiversity’s licensing requirements]] (CC BY-SA). Contributors are responsible for ensuring that any AI-assisted or AI-generated content does not infringe copyright and can be legally shared, modified, and redistributed under this licence. Where the copyright status of AI-generated material is unclear, contributors should exercise caution and avoid inclusion.
* '''Template''': Display the {{tl|AI-generated}} template at the top of pages, or below the description template for files, when the content contains substantial AI-generated material

Given the rapid evolution of genAI and the diverse needs of open education, some contributors may wish to use AI-generated content in ways not covered by this policy. In such cases, seek community input prior to proceeding by initiating a discussion at the [[Wikiversity:Colloquium|Colloquium]].

==See also==
;Discussions
* [[Is the output of ChatGPT copyrighted?]] (Wikidebate)
* [[Should Wikiversity allow editors to post content generated by LLMs?]] (Wikidebate)

;Sister projects
* [[b:Wikibooks:Artificial intelligence|Wikibooks:Artificial intelligence]] (Policy)
* [[c:Commons:AI-generated media|Wikimedia Commons: AI-generated media]] (Policy)
* [[w:Wikipedia:Large language models|Wikipedia:Large language models]] (Information page)

;Wiki Education Foundation
* [https://dashboard.wikiedu.org/training/students/generative-ai Using generative AI tools with Wikipedia] (Training module)

;Wikiversity project guidelines
* [[Motivation and emotion/Assessment/Using generative AI|Using generative AI]] (Motivation and emotion)

[[Category:Artificial intelligence]]
[[Category:Wikiversity policy]]</text>
      <sha1>l9bcysv2eah08g4n4rvm0x9nrfyje3v</sha1>
    </revision>
    <revision>
      <id>2804123</id>
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      <timestamp>2026-04-10T09:10:30Z</timestamp>
      <contributor>
        <username>Jtneill</username>
        <id>10242</id>
      </contributor>
      <comment>Edit summary - strengthen requirement to link chatbot conversation in edit summary, but not so strong as to make it compulsory</comment>
      <origin>2804123</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="2918" sha1="0ptucanc3craxgh1tawoyf7ab5csdty" xml:space="preserve">{{Proposed policy|WV:AI}}
This policy sets out requirements for contributors who use [[w:Generative AI|generative artificial intelligence]] (genAI) when creating or editing content on Wikiversity. GenAI includes machine learning systems that generate new content (e.g., text, images, audio, video) and AI-assisted tools that meaningfully influence the wording or substance of contributions.

Use of AI-generated text on [[Main page|Wikiversity]] is acceptable if it follows good [[w:scholarly method|scholarly practice]]s including:
* '''Edit summary''': The origin of contributed genAI text is clearly indicated in the [[Wikiversity:FAQ/Editing/Edit summary|edit summary]] along with a publicly accessible link to the chatbot conversation, where possible, to maximise transparency.
* '''Verifiability''' / '''Citations''': The text is [[Wikiversity:Verifiability|verified]] by the contributor and, where [[Wikiversity:Cite sources|citations]] are included, they must be [[w:Fact-checked|fact-checked]] for appropriateness and relevance by the contributor
* '''Human revision''': The AI text should be revised and rewritten by the contributor (or be human-written then improved using AI)
* '''Copyright''': Content must be compatible with [[Wikiversity:Copyrights|Wikiversity’s licensing requirements]] (CC BY-SA). Contributors are responsible for ensuring that any AI-assisted or AI-generated content does not infringe copyright and can be legally shared, modified, and redistributed under this licence. Where the copyright status of AI-generated material is unclear, contributors should exercise caution and avoid inclusion.
* '''Template''': Display the {{tl|AI-generated}} template at the top of pages, or below the description template for files, when the content contains substantial AI-generated material

Given the rapid evolution of genAI and the diverse needs of open education, some contributors may wish to use AI-generated content in ways not covered by this policy. In such cases, seek community input prior to proceeding by initiating a discussion at the [[Wikiversity:Colloquium|Colloquium]].

==See also==
;Discussions
* [[Is the output of ChatGPT copyrighted?]] (Wikidebate)
* [[Should Wikiversity allow editors to post content generated by LLMs?]] (Wikidebate)

;Sister projects
* [[b:Wikibooks:Artificial intelligence|Wikibooks:Artificial intelligence]] (Policy)
* [[c:Commons:AI-generated media|Wikimedia Commons: AI-generated media]] (Policy)
* [[w:Wikipedia:Large language models|Wikipedia:Large language models]] (Information page)

;Wiki Education Foundation
* [https://dashboard.wikiedu.org/training/students/generative-ai Using generative AI tools with Wikipedia] (Training module)

;Wikiversity project guidelines
* [[Motivation and emotion/Assessment/Using generative AI|Using generative AI]] (Motivation and emotion)

[[Category:Artificial intelligence]]
[[Category:Wikiversity policy]]</text>
      <sha1>0ptucanc3craxgh1tawoyf7ab5csdty</sha1>
    </revision>
    <revision>
      <id>2804124</id>
      <parentid>2804123</parentid>
      <timestamp>2026-04-10T09:26:28Z</timestamp>
      <contributor>
        <username>Jtneill</username>
        <id>10242</id>
      </contributor>
      <comment>Simplify the second/third paragraph with assistance of ChatGPT: https://chatgpt.com/s/t_69d8c22c32a88191bfb464d33e398a34</comment>
      <origin>2804124</origin>
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      <text bytes="2934" sha1="c8z22xaiu4lb16i24pqjt7onxeynpzm" xml:space="preserve">{{Proposed policy|WV:AI}}
This policy sets out requirements when contributing [[w:Generative AI|generative artificial intelligence]] (genAI) on [[Main page|Wikiversity]]. GenAI includes machine learning systems that generate new content (e.g., text, images, audio, video) as well as AI-assisted tools that meaningfully influence the wording or substance of contributions.

This policy permits the considered use of GenAI where it aligns with [[Wikiversity:Mission|Wikiversity's Mission]] and follows good [[w:scholarly method|scholarly practice]]s, including:
* '''Edit summary''': The origin of contributed genAI text is clearly indicated in the [[Wikiversity:FAQ/Editing/Edit summary|edit summary]] along with a publicly accessible link to the chatbot conversation, where possible, to maximise transparency.
* '''Verifiability''' / '''Citations''': The text is [[Wikiversity:Verifiability|verified]] by the contributor and, where [[Wikiversity:Cite sources|citations]] are included, they must be [[w:Fact-checked|fact-checked]] for appropriateness and relevance by the contributor
* '''Human revision''': The AI text should be revised and rewritten by the contributor (or be human-written then improved using AI)
* '''Copyright''': Content must be compatible with [[Wikiversity:Copyrights|Wikiversity’s licensing requirements]] (CC BY-SA). Contributors are responsible for ensuring that any AI-assisted or AI-generated content does not infringe copyright and can be legally shared, modified, and redistributed under this licence. Where the copyright status of AI-generated material is unclear, contributors should exercise caution and avoid inclusion.
* '''Template''': Display the {{tl|AI-generated}} template at the top of pages, or below the description template for files, when the content contains substantial AI-generated material

Given the rapid evolution of genAI and the diverse needs of open education, some contributors may wish to use AI-generated content in ways not covered by this policy. In such cases, seek community input prior to proceeding by discussing it the [[Wikiversity:Colloquium|Colloquium]].


==See also==
;Discussions
* [[Is the output of ChatGPT copyrighted?]] (Wikidebate)
* [[Should Wikiversity allow editors to post content generated by LLMs?]] (Wikidebate)

;Sister projects
* [[b:Wikibooks:Artificial intelligence|Wikibooks:Artificial intelligence]] (Policy)
* [[c:Commons:AI-generated media|Wikimedia Commons: AI-generated media]] (Policy)
* [[w:Wikipedia:Large language models|Wikipedia:Large language models]] (Information page)

;Wiki Education Foundation
* [https://dashboard.wikiedu.org/training/students/generative-ai Using generative AI tools with Wikipedia] (Training module)

;Wikiversity project guidelines
* [[Motivation and emotion/Assessment/Using generative AI|Using generative AI]] (Motivation and emotion)

[[Category:Artificial intelligence]]
[[Category:Wikiversity policy]]</text>
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      <text bytes="2934" sha1="8hz5ka1q2owslithx3uca1p12xu7p38" xml:space="preserve">{{Proposed policy|WV:AI}}
This policy sets out requirements when contributing [[w:Generative AI|generative artificial intelligence]] (genAI) on [[Main page|Wikiversity]]. GenAI includes machine learning systems that generate new content (e.g., text, images, audio, video) as well as AI-assisted tools that meaningfully influence the wording or substance of contributions.

This policy permits the considered use of GenAI where it aligns with [[Wikiversity:Mission|Wikiversity's Mission]] and follows good [[w:scholarly method|scholarly practice]]s, including:
* '''Edit summary''': The origin of contributed genAI text is clearly indicated in the [[Wikiversity:FAQ/Editing/Edit summary|edit summary]] along with a publicly accessible link to the chatbot conversation, where possible, to maximise transparency.
* '''Verifiability''' / '''Citations''': The text is [[Wikiversity:Verifiability|verified]] by the contributor and, where [[Wikiversity:Cite sources|citations]] are included, they must be [[w:Fact-checked|fact-checked]] for appropriateness and relevance by the contributor
* '''Human revision''': The AI text should be revised and rewritten by the contributor (or be human-written then improved using AI)
* '''Copyright''': Content must be compatible with [[Wikiversity:Copyrights|Wikiversity’s licensing requirements]] (CC BY-SA). Contributors are responsible for ensuring that any AI-assisted or AI-generated content does not infringe copyright and can be legally shared, modified, and redistributed under this licence. Where the copyright status of AI-generated material is unclear, contributors should exercise caution and avoid inclusion.
* '''Template''': Display the {{tl|AI-generated}} template at the top of pages, or below the description template for files, when the content contains substantial AI-generated material

Given the rapid evolution of genAI and the diverse needs of open education, some contributors may wish to use AI-generated content in ways not covered by this policy. In such cases, seek community input prior to proceeding by discussing at the [[Wikiversity:Colloquium|Colloquium]].


==See also==
;Discussions
* [[Is the output of ChatGPT copyrighted?]] (Wikidebate)
* [[Should Wikiversity allow editors to post content generated by LLMs?]] (Wikidebate)

;Sister projects
* [[b:Wikibooks:Artificial intelligence|Wikibooks:Artificial intelligence]] (Policy)
* [[c:Commons:AI-generated media|Wikimedia Commons: AI-generated media]] (Policy)
* [[w:Wikipedia:Large language models|Wikipedia:Large language models]] (Information page)

;Wiki Education Foundation
* [https://dashboard.wikiedu.org/training/students/generative-ai Using generative AI tools with Wikipedia] (Training module)

;Wikiversity project guidelines
* [[Motivation and emotion/Assessment/Using generative AI|Using generative AI]] (Motivation and emotion)

[[Category:Artificial intelligence]]
[[Category:Wikiversity policy]]</text>
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      <text bytes="2932" sha1="1wy6s1bi1352uvzv2njgmp58fmc7l1d" xml:space="preserve">{{Proposed policy|WV:AI}}
This policy sets out requirements when contributing [[w:Generative AI|generative artificial intelligence]] (genAI) on [[Main page|Wikiversity]]. GenAI includes machine learning systems that generate new content (e.g., text, images, audio, video) as well as AI-assisted tools that meaningfully influence the wording or substance of contributions.

This policy permits the considered use of GenAI where it aligns with [[Wikiversity:Mission|Wikiversity's Mission]] and follows good [[w:scholarly method|scholarly practice]]s, including:
* '''Edit summary''': The origin of contributed genAI text is clearly indicated in the [[Wikiversity:FAQ/Editing/Edit summary|edit summary]] along with a publicly accessible link to the chatbot conversation, where possible, to maximise transparency.
* '''Verifiability''' / '''Citations''': The text is [[Wikiversity:Verifiability|verified]] by the contributor and, where [[Wikiversity:Cite sources|citations]] are included, they must be [[w:Fact-checked|fact-checked]] for appropriateness and relevance by the contributor
* '''Human revision''': The AI text should be revised and rewritten by the contributor (or be human-written then improved using AI)
* '''Copyright''': Content must be compatible with [[Wikiversity:Copyrights|Wikiversity’s licensing requirements]] (CC BY-SA). Contributors are responsible for ensuring that any AI-assisted or AI-generated content does not infringe copyright and can be legally shared, modified, and redistributed under this licence. Where the copyright status of AI-generated material is unclear, contributors should exercise caution and avoid inclusion.
* '''Template''': Display the {{tl|AI-generated}} template at the top of pages, or below the description template for files, when the content contains substantial AI-generated material

Given the rapid evolution of genAI and the diverse needs of open education, some contributors may wish to use AI-generated content in ways not covered by this policy. In such cases, seek community input prior to proceeding by discussing at the [[Wikiversity:Colloquium|Colloquium]].

==See also==
;Discussions
* [[Is the output of ChatGPT copyrighted?]] (Wikidebate)
* [[Should Wikiversity allow editors to post content generated by LLMs?]] (Wikidebate)

;Sister projects
* [[b:Wikibooks:Artificial intelligence|Wikibooks:Artificial intelligence]] (Policy)
* [[c:Commons:AI-generated media|Wikimedia Commons: AI-generated media]] (Policy)
* [[w:Wikipedia:Large language models|Wikipedia:Large language models]] (Information page)

;Wiki Education Foundation
* [https://dashboard.wikiedu.org/training/students/generative-ai Using generative AI tools with Wikipedia] (Training module)

;Wikiversity project guidelines
* [[Motivation and emotion/Assessment/Using generative AI|Using generative AI]] (Motivation and emotion)

[[Category:Artificial intelligence]]
[[Category:Wikiversity policy]]</text>
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    <revision>
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      <comment>Further simplification of introduction - stripped right back. With assistance of ChatGPT: https://chatgpt.com/s/t_69d8c4fcf2648191a354dc144fcca7f4</comment>
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      <text bytes="2634" sha1="raraipgkrzhm7nb82jaxnf5ygprbqby" xml:space="preserve">{{Proposed policy|WV:AI}}
This policy sets requirements for contributing AI-generated content (text and media) to [[Main page|Wikiversity]].

AI-generated content is permitted where it follows good [[w:scholarly method|scholarly practice]]s, including:
* '''Edit summary''': The origin of contributed genAI text is clearly indicated in the [[Wikiversity:FAQ/Editing/Edit summary|edit summary]] along with a publicly accessible link to the chatbot conversation, where possible, to maximise transparency.
* '''Verifiability''' / '''Citations''': The text is [[Wikiversity:Verifiability|verified]] by the contributor and, where [[Wikiversity:Cite sources|citations]] are included, they must be [[w:Fact-checked|fact-checked]] for appropriateness and relevance by the contributor
* '''Human revision''': The genAI text should be revised and rewritten by the contributor (or be human-written then improved using genAI)
* '''Copyright''': Content must be compatible with [[Wikiversity:Copyrights|Wikiversity’s licensing requirements]] (CC BY-SA). Contributors are responsible for ensuring that any AI-assisted or genAI-generated content does not infringe copyright and can be legally shared, modified, and redistributed under this licence. Where the copyright status of AI-generated material is unclear, contributors should exercise caution and avoid inclusion.
* '''Template''': Display the {{tl|AI-generated}} template at the top of pages, or below the description template for files, when the content contains substantial AI-generated material

Given the rapid evolution of genAI and the diverse needs of open education, some contributors may wish to use AI-generated content in ways not covered by this policy. In such cases, seek community input prior to proceeding by discussing at the [[Wikiversity:Colloquium|Colloquium]].

==See also==
;Discussions
* [[Is the output of ChatGPT copyrighted?]] (Wikidebate)
* [[Should Wikiversity allow editors to post content generated by LLMs?]] (Wikidebate)

;Sister projects
* [[b:Wikibooks:Artificial intelligence|Wikibooks:Artificial intelligence]] (Policy)
* [[c:Commons:AI-generated media|Wikimedia Commons: AI-generated media]] (Policy)
* [[w:Wikipedia:Large language models|Wikipedia:Large language models]] (Information page)

;Wiki Education Foundation
* [https://dashboard.wikiedu.org/training/students/generative-ai Using generative AI tools with Wikipedia] (Training module)

;Wikiversity project guidelines
* [[Motivation and emotion/Assessment/Using generative AI|Using generative AI]] (Motivation and emotion)

[[Category:Artificial intelligence]]
[[Category:Wikiversity policy]]</text>
      <sha1>raraipgkrzhm7nb82jaxnf5ygprbqby</sha1>
    </revision>
    <revision>
      <id>2804128</id>
      <parentid>2804127</parentid>
      <timestamp>2026-04-10T09:45:52Z</timestamp>
      <contributor>
        <username>Jtneill</username>
        <id>10242</id>
      </contributor>
      <comment>Simplify requirements and last paragraph</comment>
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      <format>text/x-wiki</format>
      <text bytes="2171" sha1="i7rljuy7tb831u20wkbdy0kkuv0wzor" xml:space="preserve">{{Proposed policy|WV:AI}}
This policy sets requirements for contributing AI-generated content (text and media) to [[Main page|Wikiversity]].

AI-generated content is permitted where it follows good [[w:scholarly method|scholarly practice]]s, including:
* '''Edit summary''': The origin of contributed AI text is clearly indicated in the [[Wikiversity:FAQ/Editing/Edit summary|edit summary]] along with a publicly accessible link to the chatbot conversation, where available, to maximise transparency.
* '''Verifiability''' / '''Citations''': AI text is [[Wikiversity:Verifiability|verified]] by the contributor. [[Wikiversity:Cite sources|Citations]] are [[w:Fact-checked|fact-checked]] for appropriateness and relevance by the contributor.
* '''Human revision''': AI text is revised and rewritten by the contributor (or originally human-written and improved using genAI)
* '''Copyright''': AI content must be compatible with [[Wikiversity:Copyrights|Wikiversity’s licensing requirements]] (CC BY-SA).
* '''Template''': Display the {{tl|AI-generated}} template at the top of pages, or below the description template for files, when the content contains substantial AI-generated material. 

Contributors wanting to use AI-generated content in ways not covered by this policy should seek community input by discussing at the [[Wikiversity:Colloquium|Colloquium]].

==See also==
;Discussions
* [[Is the output of ChatGPT copyrighted?]] (Wikidebate)
* [[Should Wikiversity allow editors to post content generated by LLMs?]] (Wikidebate)

;Sister projects
* [[b:Wikibooks:Artificial intelligence|Wikibooks:Artificial intelligence]] (Policy)
* [[c:Commons:AI-generated media|Wikimedia Commons: AI-generated media]] (Policy)
* [[w:Wikipedia:Large language models|Wikipedia:Large language models]] (Information page)

;Wiki Education Foundation
* [https://dashboard.wikiedu.org/training/students/generative-ai Using generative AI tools with Wikipedia] (Training module)

;Wikiversity project guidelines
* [[Motivation and emotion/Assessment/Using generative AI|Using generative AI]] (Motivation and emotion)

[[Category:Artificial intelligence]]
[[Category:Wikiversity policy]]</text>
      <sha1>i7rljuy7tb831u20wkbdy0kkuv0wzor</sha1>
    </revision>
    <revision>
      <id>2804129</id>
      <parentid>2804128</parentid>
      <timestamp>2026-04-10T09:46:32Z</timestamp>
      <contributor>
        <username>Jtneill</username>
        <id>10242</id>
      </contributor>
      <minor />
      <origin>2804129</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="2180" sha1="9si26qdj6wgpln6dsh2u5jmraoo2lbo" xml:space="preserve">{{Proposed policy|WV:AI}}
This policy specifies the requirements for contributing AI-generated content (text and media) to [[Main page|Wikiversity]].

AI-generated content is permitted where it follows good [[w:scholarly method|scholarly practice]]s, including:
* '''Edit summary''': The origin of contributed AI text is clearly indicated in the [[Wikiversity:FAQ/Editing/Edit summary|edit summary]] along with a publicly accessible link to the chatbot conversation, where available, to maximise transparency.
* '''Verifiability''' / '''Citations''': AI text is [[Wikiversity:Verifiability|verified]] by the contributor. [[Wikiversity:Cite sources|Citations]] are [[w:Fact-checked|fact-checked]] for appropriateness and relevance by the contributor.
* '''Human revision''': AI text is revised and rewritten by the contributor (or originally human-written and improved using genAI)
* '''Copyright''': AI content must be compatible with [[Wikiversity:Copyrights|Wikiversity’s licensing requirements]] (CC BY-SA).
* '''Template''': Display the {{tl|AI-generated}} template at the top of pages, or below the description template for files, when the content contains substantial AI-generated material. 

Contributors wanting to use AI-generated content in ways not covered by this policy should seek community input by discussing at the [[Wikiversity:Colloquium|Colloquium]].

==See also==
;Discussions
* [[Is the output of ChatGPT copyrighted?]] (Wikidebate)
* [[Should Wikiversity allow editors to post content generated by LLMs?]] (Wikidebate)

;Sister projects
* [[b:Wikibooks:Artificial intelligence|Wikibooks:Artificial intelligence]] (Policy)
* [[c:Commons:AI-generated media|Wikimedia Commons: AI-generated media]] (Policy)
* [[w:Wikipedia:Large language models|Wikipedia:Large language models]] (Information page)

;Wiki Education Foundation
* [https://dashboard.wikiedu.org/training/students/generative-ai Using generative AI tools with Wikipedia] (Training module)

;Wikiversity project guidelines
* [[Motivation and emotion/Assessment/Using generative AI|Using generative AI]] (Motivation and emotion)

[[Category:Artificial intelligence]]
[[Category:Wikiversity policy]]</text>
      <sha1>9si26qdj6wgpln6dsh2u5jmraoo2lbo</sha1>
    </revision>
    <revision>
      <id>2804130</id>
      <parentid>2804129</parentid>
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      <contributor>
        <username>Jtneill</username>
        <id>10242</id>
      </contributor>
      <minor />
      <origin>2804130</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="2221" sha1="ethsvfr7cw3jltoovctmlboqrwqa2ip" xml:space="preserve">{{Proposed policy|WV:AI}}
This policy specifies the requirements for contributing [[w:Generative artificial intelligence|AI-generated content]] (text and media) to [[Main page|Wikiversity]].

AI-generated content is permitted where it follows good [[w:scholarly method|scholarly practice]]s, including:
* '''Edit summary''': The origin of contributed AI text is clearly indicated in the [[Wikiversity:FAQ/Editing/Edit summary|edit summary]] along with a publicly accessible link to the chatbot conversation, where available, to maximise transparency.
* '''Verifiability''' / '''Citations''': AI text is [[Wikiversity:Verifiability|verified]] by the contributor. [[Wikiversity:Cite sources|Citations]] are [[w:Fact-checked|fact-checked]] for appropriateness and relevance by the contributor.
* '''Human revision''': AI text is revised and rewritten by the contributor (or originally human-written and improved using genAI)
* '''Copyright''': AI content must be compatible with [[Wikiversity:Copyrights|Wikiversity’s licensing requirements]] (CC BY-SA).
* '''Template''': Display the {{tl|AI-generated}} template at the top of pages, or below the description template for files, when the content contains substantial AI-generated material. 

Contributors wanting to use AI-generated content in ways not covered by this policy should seek community input by discussing at the [[Wikiversity:Colloquium|Colloquium]].

==See also==
;Discussions
* [[Is the output of ChatGPT copyrighted?]] (Wikidebate)
* [[Should Wikiversity allow editors to post content generated by LLMs?]] (Wikidebate)

;Sister projects
* [[b:Wikibooks:Artificial intelligence|Wikibooks:Artificial intelligence]] (Policy)
* [[c:Commons:AI-generated media|Wikimedia Commons: AI-generated media]] (Policy)
* [[w:Wikipedia:Large language models|Wikipedia:Large language models]] (Information page)

;Wiki Education Foundation
* [https://dashboard.wikiedu.org/training/students/generative-ai Using generative AI tools with Wikipedia] (Training module)

;Wikiversity project guidelines
* [[Motivation and emotion/Assessment/Using generative AI|Using generative AI]] (Motivation and emotion)

[[Category:Artificial intelligence]]
[[Category:Wikiversity policy]]</text>
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  <page>
    <title>Motivation and emotion/Book/2024/Ego death</title>
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      <text bytes="31953" sha1="rbeu0okc8p1ck50cl4mtk6pec6vq2bt" xml:space="preserve">{{title|Ego death:&lt;br&gt;What is ego death, what are its consequences, and how can it be facilitated?}}
{{MECR3|1=https://youtu.be/rngi3F8yZL0}}
__TOC__

==Overview==
{{robelbox|width=30|theme=6|title=Case scenario}} &lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
[[File:Starman 07.jpg|thumb|Figure 1. Psilocybin induced altered state of consciousness.]]

;Scenario

Imagine Doug, a 37-year-old husband and father of 3, burdened by the pressures of work and family life, seeks a way to alleviate his stress. He decides to attend a weekend retreat where he is taken through a practitioner-guided [https://en.wikipedia.org/wiki/Psilocybin psilocybin] {{ic|Use wiki style links per Tutorial 2}} session and experiences a profound shift in consciousness, dissolving his ego entirely (see figure 1) {{ic|Use APA style - see Figure 2}}. In this state, Doug feels a deep connection to the universe, experiencing an overwhelming sense of unity and peace and no sense of individual identity. The effect lasts for several hours and Doug is able to reframe his beliefs and ideas of his life with this newfound perspective. The experience reveals to him the source of his stress: his rigid attachment to his roles and identity, his belief that he must be the peacekeeper and the idea that his life will never amount to anything more. With this newfound understanding, Doug can reframe his beliefs about himself and the world, finding it more natural to balance his responsibilities, invite more peace and calm into his life and live in the present moment.  
&lt;/div&gt;
{{Robelbox/close}}

This chapter delves into the nature of ego death, its implications, and the various ways it can be facilitated. To answer these questions, we {{ic|Use 3rd person perspective}} must first understand the concept of the ego to fully grasp what is meant by its dissolution or &quot;death&quot;. Ego death is a relatively new field of research for scientists, but there are a growing number of studies that reveal its theoretical underpinnings. Research has indicated significant psychological transformations, changes in identity, connection to self, others and personal growth and development. However, there are vital implications and risks associated with ego death that necessitate exploration to ensure safe and effective avenues of facilitation of this experience. Understanding the scientific basis of ego death can provide evidence-based methods for inducing it and insight into its effects on mental health.

{{RoundBoxTop|theme=5}}
;Focus questions:

# What is the ego and what is ego death?
# What are the consequences of ego death?
# How can ego death be facilitated? 
# What are the neurological and psychological aspects of ego death?
# What are the ethical considerations and potential risks associated with facilitating ego death?
{{RoundBoxBottom}}

==Introduction to ego death==
Ego death is a profound psychological and spiritual experience that transcends the ordinary understanding of self, and is a core tenet of enlightenment teachings (Rindfleish, 2007). Ego death necessitates an understanding of the ego and the self. Modern views see the ego as a dynamic cognitive construct that guides behaviour, diverging from earlier beliefs of solely instinctual drives. Ego death occurs when self-reference dissolves, leading to a profound sense of unity with the universe.

=== Conceptualising the ego ===
To conceptualise ego death, we must first understand what is meant by the [[wikipedia:Ego|ego]]. The concept of the ego is not easily defined and has often been challenged by researchers and scientific theorists (Loevinger, 1979). The ego, sometimes referred to as the &quot;self&quot;, includes moral judgment, self-perception, and interpersonal relations, believed to be a subjective aspect of consciousness that engages with human thoughts and emotions (Erlich, 1996; Loevinger, 1979). Modern ego psychology views the ego as a systematic construct of mental processes that guides rational and emotional behaviour, diverging beyond earlier philosophies of the ego as merely driven by basic instincts. Lastly, the ego fluctuates between the idea of the individuated self, and broader social contexts, simultaneously perceiving itself in a subjective sense and in comparison to others. (Power and Lapsley, 1988).   

=== Theoretical interpretations of the ego ===
Allport (1943), in his account of &quot;The Ego in Contemporary Psychology&quot;, collated many definitions of the ego from the early 18&lt;sup&gt;th&lt;/sup&gt; century until the early 20&lt;sup&gt;th&lt;/sup&gt; century (see Table 1).

{| class=&quot;wikitable&quot;
|+Table 1. Definitions of The Ego throughout history
!Theory
!Theorist(s)
!Year(s)
!Description
|-
|Ego as Knower
|Franz Brentano, William James
|Brentano (1838-1917), James (1890)
|The ego is the subject actively engaging with the universe. 
|-
|Ego as Object of Knowledge
|David Horowitz
|Early 20th century
|Experiencing the self through introspection. 
|-
|Ego as Primitive Selfishness
|Max Stirner, Felix Le Dantec
|Stirner (1844), Le Dantec (1918)
|Argues that humans are inherently selfish, with egoism forming the foundation of social structures. 
|-
|Ego as Dominance-Drive
|Not attributed to a particular theorist
|Emerged in early to mid-20th century
|Sees the ego as the part of personality that demands status and recognition. Linked to dominance and the need for social order.
|-
|Ego as a Passive Organisation of Mental Processes
|Sigmund [[wikipedia:Sigmund_Freud|Freud]]
|Late 19th to early 20th century
|The ego as a passive entity mediating conflicts among the id, superego, and external forces, often resulting in anxiety.
|-
|Ego as a Fighter for Ends
|[[wikipedia:William_James|William James]], Heinz Hartmann
|James (late 19th century), Hartmann (mid-20th century)
|The ego as an active agent striving for mastery and planning.
|-
|Ego as a Behavioural System
|Kurt Lewin, [[wikipedia:Kurt_Koffka|Kurt Koffka]]
|Lewin (early to mid-20th century), Koffka (early 20th century)
|The ego as a dynamic system influencing actions when active and within overall behaviour.
|-
|Ego as the Subjective Organisation of Culture
|[[wikipedia:Muzafer_Sherif|Muzafer Sherif]], Hadley Cantril
|Mid-20th century
|The ego emphasised by social values and cultural influences.
|}

The ego is a complex and transient concept that defies a single definition, varying across psychological perspectives (see Table 1).

[[File:Sigmund Freud LIFE.jpg|left|thumb|169x169px|Figure 2. Sigmund Freud, psychoanalyst]]

According to Sigmund Freud {{ic|Add link to Wikipedia article}} (see figure 2) and his [[wikipedia:Psychoanalytic_theory|psychoanalytic theory]] of the ego, the self is shaped by three main components: the [[wikipedia:Id,_ego_and_superego|id, the ego, and the superego]], which are inextricably linked to influence self-development over the lifespan (Lapsley &amp; Stay, 2011). Freud believed these to be the three components of the mind, that when interacting skilfully, results in a mentally stable individual (Rennison, 2015, p.38-40). The Id encompasses the instinctual domains and drives unconscious and primary processes of satisfying survival needs and seeking out pleasure (Lapsley &amp; Stay, 2011). Additionally, the ego is a component of the id that remains largely unconscious, yet it is considered more evolved, incorporating a perceptual system that bridges the gap between unconscious drives and conscious awareness. Finally, the superego is a conscious version of the self that strives for perfection and bases its drives on the moralistic ideals and standards of society (Lapsley &amp; Stay, 2011).

[[File:Maslow's Hierarchy of Needs2.svg|thumb|380x380px|Figure 3. Maslow's hierarchy of needs]]

Another well considered scientific theory of the self can be found in [[wikipedia:Abraham_Maslow|Abraham Maslow]]’s hierarchy of needs (see Figure 3.). This theory consists of five basic needs: physiological, safety, belongingness, self-esteem, and [[wikipedia:Self-actualization|self-actualisation]] (Simons et al., 1987). This hierarchy is represented as a pyramid (See figure 3) with the basic survival needs at the base and the higher-order needs at the top. The dominant idea is that one can only progress through the hierarchical levels after first satiating the prior level, yet theorists question the practicality of that idea due to instances where individuals have reached the top of the pyramid without first satiating more basic drives (Rouse, 2004). According to the hierarchy, self-actualisation is said to become a persistent need that takes priority after the former biological and social needs have first been met (Rindfliesh, 2007). This could explain a drive towards the egoless state, away from the more primitive aspects of the human experience.   

=== Interpretations of ego death ===
[[File:View of &quot;The Death of Ego&quot; wall art on Hanbury Street - geograph.org.uk - 4871564.jpg|thumb|380x380px|Figure 4. Wall art named &quot;The Death of Ego&quot;]]
Ancient philosophical understandings of ego death were traditionally derived from Eastern religions, including [[wikipedia:Hinduism|Hinduism]] and [[wikipedia:Buddhism|Buddhism]] (Rindfleish, 2007). Moreover, the &quot;death of the ego,&quot; is emphasised by Western Buddhists as the challenge to transcend the illusions of the referential self, reducing or eliminating personal desires. The idea is often linked to scriptural references from Jesus, who spoke of this transformative state before the experience of actual physical death. This elaboration suggests the possibility of attaining an egoless state of complete self-actualisation while still in human form, highlighting the historical roots of ego death (Rindfleish, 2007). 

A sense of self is fundamental to the human experience, and contained within this idea is the capacity for self-reflection, [[wikipedia:Theory_of_mind|theory of mind]], [[wikipedia:Individuation|individuation]], decision making and subjective perceptions (Wellender, 2022). However, ego dissolution is the result of a reduction in this self-referential awareness, where a loss of usual boundaries with the objective world become apparent and an experience of connection with others, nature, the universe and God become increasingly salient. Although difficult to quantify, ego deaths mystical nature, there seems to be a positive correlation as the therapeutic effects of ego dissolution increase, so to do the mystical experiences {{rewrite}} (Wellender, 2022). 

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; Quiz

Choose your answers and click &quot;Submit&quot;:
&lt;quiz display=&quot;simple&quot;&gt;
{According to Freud, which part of the mind controls our instincts and basic drives?
|type=&quot;(True)&quot;}
+ Id
- Superego
- Ego

{What is the ego according to modern psychological theories?
|type=&quot;(True)&quot;}
- The id, ego, and superego working harmoniously together.
+ Self-referential awareness and a subjective sense of self involved in thoughts and emotions.
- A moralistic part of the self based on societal ideals.

{Ego death is simply the absence of thought and cognition:
|type=&quot;(False)&quot;}
- True
+ False

&lt;/quiz&gt;
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== Consequences of ego death ==
Ego death, frequently induced by meditation, sudden life events and [[wikipedia:Psychedelic_drug|psychedelics]], brings about significant changes in one's reality and perception. This experience involves the dissolution of the personal self, creating a sense of oneness with the universe and blurring the typical boundaries between self and others.

=== Altered perception and self awareness ===
Ego dissolution, often reported by psychedelic drug users, involves the loss or reduction of the sense of a distinct &quot;self&quot; separate from the world (Letheby &amp; Garrans, 2017). Furthermore, neuroscientific research explains this phenomena through predictive processing models, which suggest that self-awareness stems from the brain's hierarchical models that create the perception of a stable, unchanging self. This &quot;self&quot; is seen as a cognitive construct, or a &quot;Cartesian fiction&quot; (see [[wikipedia:Cartesianism|Cartesianism]]), that helps unify and integrate cognitive processes (Letheby &amp; Garrans, 2017). Although the self-model plays an important role in organising thoughts and perceptions, it is not a real, enduring entity. Ego dissolution experiences reveal that the self is an illusion, a cognitive function that can be disrupted.

=== Therapeutic benefits ===
There are many positive psychological and emotional outcomes of ego death that have been evidenced to contribute to therapeutic outcomes. Enhanced problem solving due to large perceptual shifts and the ability to depersonalise from everyday life are major contributing effects of experiencing ego death (Smith &amp; Sisti, 2021). Ego-dissolution may serve as a catalyst for breaking down rigid mental structures, allowing for new insights, while connectedness provides a foundation for enduring positive change. (Kałużna. 2022). This process may contribute to reports of reduced symptoms of depression and anxiety, facilitating positive therapeutic outcomes.

=== Spiritual transformation ===
Individuals have reported unique benefits such as enhanced self-understanding, feelings of self-loss and unity, and a deeper sense of connectedness, all of which lead to lasting changes in worldview (Smith &amp; Sisti, 2021). Moreover, these experiences, often described as ego dissolution or 'death of the ego,' can result in spiritual awakening and profound shifts in perspective. In research by Taylor (2018), individuals reported experiencing ego dissolution, followed by an abrupt shift in consciousness that led to a spiritual awakening. These shifts were said to be catalysed by intense or stressful life events, during which individuals 'let go' of their stressors, triggering an ego death that resulted in the collapse of the self and the experience of a blissful state or spiritual transformation.

== Facilitating ego death ==
[[wikipedia:Meditation|Meditation]] and [[wikipedia:Mindfulness|mindfulness]] practices and consumption of psychedelic substances are known to reduce attachment to the ego and induce ego dissolution{{fact}}, although complete ego death remains debated{{fact}}. Studies have shown that meditation can diminish defensive reactions to thoughts of mortality, while facilitated psychedelic use can disrupt negative self-referential thought patterns, contributing to treatments for depression and anxiety{{fact}}. 

=== Meditation and mindfulness ===
Meditative practices specifically seek to dissolve the sense of self by inducing altered states of [[wikipedia:Consciousness|consciousness]] through meditation (Millière et al., 2018). The concept of total ego dissolution can be misleading, as those who report experiencing it may only be referring to the loss of certain self aspects, not the self as a whole. Additionally, determining whether complete ego death is possible is challenging, as there seems to be an underlying sense of self that must reference the egoless state in order to describe it. Traditional Eastern religions, like Hinduism and Buddhism, emphasise the importance of ego death to benefit from spiritual practices, by lessening or eliminating desires (Rindfleish, 2007). Moreover, meditation and mindfulness aims to diminish the sense of the ego by quieting the mind and reducing attachment to the self.  

In a modern approach that reflects the Western attitude toward self and the ego, the principle of ego death has been adapted to emphasise the acceptance and transformation of the ego, rather than its complete elimination (Epstein, 1988). In a study by Park and Pyszczynski (2019) examining the impact of meditation and mindfulness on defensive responses to [[wikipedia:Mortality_salience|mortality salience]], all three experiments showed that meditation effectively reduced these responses, regardless of previous experience with meditation or not. Overall, these findings suggest that meditation and mindfulness facilitate ego death by quieting the mind, reducing attachment to the self, and lessening defensive reactions to mortality. Interpreting ego death in this way suggests that mindfulness and meditation serve primarily as tools to transform and integrate the existing ego, creating a self-identity that is less attached to the 'self' overall (Rindfleish, 2007).  

=== Psychedelic perspectives ===
[[File:Psilocybe semilanceata 6514.jpg|thumb|Figure 6. Psilocybe semilanceata &quot;magic mushrooms&quot;{{ic|Explain how this relates to the topic}}]]

[[wikipedia:Psychedelic_therapy|Psychedelic assisted therapy]] or self-controlled ingestion either recreationally or intentionally are the most efficient methods to experience and facilitate ego death (Smith &amp; Sisti, 2021). Psychedelic plants and hallucinogenic substances, such as [[wikipedia:Psilocybin_mushroom|psilocybin]] (see figure 6), [[wikipedia:Mescaline|mescaline]], and [[wikipedia:LSD|LSD]], have been traditionally used in ceremonies, religious rites of passage, and healing (Krebs &amp; Johnson, 2013). Research into the therapeutic effects of psilocybin began many decades ago, suggesting efficacy for depression, anxiety, and smoking and alcohol cessation (Smith &amp; Sisti, 2021) and there are significant associations between lifetime psychedelic use and mental health problems like anxiety, depression, PTSD, panic disorder and psychosis, (Krebs &amp; Johnson, 2013){{ic|Review this sentence - it seems to imply contradictory relationships?}}. Findings by Wellender (2022) indicate that as the degree of ego-dissolution increases, the symptoms of disorders characterised by a heightened sense of self, such as depression and anxiety, tend to decrease. This supports the hypothesis that the therapeutic effects of psychedelics may be linked to their ability to disrupt repetitive negative self-referenced thought patterns (Wellander, 2022), leading to decreases in psychological disorders and mental health problems. The loss of self and self importance described as ego dissolution appears to play a central role in the therapeutic effects documented by the research (Smith &amp; Sisti, 2021).

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'''Stop and reflect'''

If you could hit the reset button on your identity, what old beliefs would you leave behind? 

How do you think your life would change if you stopped defining yourself by your past experiences—would it feel exciting, or a little scary?
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== Neurology in ego death ==
There are neurological underpinnings to ego death that challenge the notion of it being solely a mystical experience. Psychedelics like LSD, psilocybin, and [[wikipedia:N,N-Dimethyltryptamine|dimethyltryptamine]] (DMT) alter brain activity, and psychological science can illustrate how changes in brain function contribute to the sensation and experience of ego death.

[[File:Default mode network-WRNMMC.jpg|left|thumb|280x280px|Figure 7. Default Mode Network in the brain]]

Psychedelic and hallucinogenic drugs can significantly affect an individual’s sense of self, perceptions, and brain functioning. Classical psychedelics, like LSD, psilocybin, ayahuasca, and DMT, work by interacting with specific brain receptors and parts of the brain (Millière, 2017; Senanayake, 2022). Notably, the [[wikipedia:5-HT2A_receptor|5-HT2A receptor]], which is vital for understanding the self and the world, becomes destabilised under the influence of these substances, leading to ego dissolution, where the distinction between oneself, their environment, and their sense of self-identity becomes blurred{{fact}}. 

Research indicates that these drugs also influence brain regions such as the [[wikipedia:Default_mode_network|default mode network]] (DMN) (see figure 7), which is related to introspection, self-awareness, self-referential thoughts, and memory, and is usually active when we are not focused on an external task (Millière, 2017; Senanayake, 2022). Furthermore, psychedelics have been shown to decrease DMN activity, potentially contributing to the sensation of ego loss by disrupting regular self-awareness and altering brain connectivity between different regions. DMN decreased activity is also apparent during deep meditation and other experiences of ego dissolution.

Psilocybin works slightly differently as it increases the connection between the DMN and the [[wikipedia:Dorsal_attention_network|task positive network]] (involved in problem solving, decision-making focused attention and executing actions), while also reducing the inverse relationship between these areas during meditation (Senanayake, 2022). Additionally, psilocybin decreases the coupling between the DMN and the medial [[wikipedia:Temporal_lobe|temporal lobe]], which is linked to dream-like states and [[wikipedia:Depersonalization-derealization_disorder|depersonalisation disorders]]. This uncoupling results in the usual rigid sense of self and distinctions between the self and the external world becoming less defined, contributing to experiences of ego dissolution or ego death.

A study by Lebedev and colleagues (2015) explored the neural mechanisms behind ego disturbances, particularly ego dissolution, in the context of schizophrenia and psilocybin-induced psychedelic experiences. The research was conducted on 15 healthy participants and measured using [[wikipedia:Functional_magnetic_resonance_imaging|functional MRI]] scans, comparing brain activity after administering a saline [[wikipedia:Placebo|placebo]] or 2 mg of psilocybin. The results suggested that psilocybin-induced ego dissolution is linked to decreased connectivity between the medial temporal lobe and high-level cortical regions, breakdown of the [[wikipedia:Salience_network|salience network]], and reduced interhemispheric communication. Overall, the results imply that the regular functioning of these brain networks is responsible for the sense of self and offer insights into ego disturbances in clinical and non-clinical settings (Lebedev et al., 2015).

==Conclusion==
Ego death represents a profound and transformative experience that challenges traditional perceptions of the self. Through practices such as meditation, mindfulness, and psychedelic use, individuals can transcend their ordinary sense of identity, leading to the dissolution of the ego. This altered state of consciousness reveals a deeper connection with the universe, fostering significant psychological and spiritual growth. Studies suggest that ego death can result in increased well-being, personal growth, and resilience, with individuals reporting greater insights into their sense of self, purpose, and their place in the world.

While meditation and mindfulness help reduce attachment to the self and diminish defensive reactions to reminders of mortality, psychedelics like psilocybin offer an efficient way to induce ego dissolution, often producing long-lasting shifts in worldview and enhancing mental health. Research has shown that psychedelics may reduce symptoms of anxiety, depression, and other psychological disorders by disrupting negative self-referential thought patterns. 

However, the facilitation of ego death is not without risks. Ethical considerations must be taken into account, particularly regarding the responsible use of psychedelics and the potential psychological impacts of such profound experiences. Additionally, more research is needed to understand the full implications of ego dissolution on mental health, especially concerning long-term outcomes and the integration of these experiences into everyday life.

Overall, the understanding of ego death within a psychological and spiritual framework opens new pathways for therapeutic practices, offering a unique approach to mental health and personal development. Through continued research, this concept has the potential to further advance evidence-based approaches in therapy and improve psychological well-being.

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'''Key takeaways'''

* '''Ego death''' is like resetting your mind, helping you let go of old beliefs and see things anew.
* You can achieve this through '''meditation''' and '''mindfulness''', which act as tools to clear your mind and find peace.
* '''Psychedelics''' can be used to enhance this experience, easing anxiety and depression and aiding deep and long lasting transformation.
* Using psychedelics '''responsibly''' and with '''clinical supervision''' is advised.
* Embracing ego death unlocks '''self-discovery''', inviting you to explore profound, '''mystical experiences''' that are often hard to explain through science alone.
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== See also ==
* [[Motivation and emotion/Book/2024/Ayahuasca and the brain|Ayahuasca and the brain]] (Book chapter, 2024)
* [[Motivation and emotion/Book/2023/Death and meaning in life|Death and meaning in life]] (Book Chapter, 2023)
* [[Motivation and emotion/Book/2023/Ego death|Ego death]] (Book chapter, 2023)
* [[wikipedia:Ego_death|Ego death]]  (Wikipedia)
* [[wikipedia:Philosophy_of_self|Philosophy of self]] (Wikipedia)
* [[wikipedia:Self_in_Jungian_psychology|Self in Jungian psychology]] (Wikipedia)

==References==
{{Hanging indent|1=

Allport, G. W. (1943). The ego in contemporary psychology. ''Psychological Review, 50''(5), 451. [https://web-p-ebscohost-com.ezproxy.canberra.edu.au/ehost/pdfviewer/pdfviewer?vid=0&amp;sid=76f44453-d90c-4ecd-8da1-5427ba12fb7d%40redis https://doi.org/10.1037/h0055375]

Barac, V. (2010). Vine of the soul: Encounters with ayahuasca. ''Anthropologica, 52''(2), 413–414. Retrieved from [https://www.proquest.com/docview/817184367?accountid=28889&amp;sourcetype=Scholarly%20Journals https://www.proquest.com/docview/817184367?accountid=28889]

Epstein, M. (1988). The deconstruction of the self: Ego and “egolessness” in Buddhist insight meditation. ''The Journal of Transpersonal Psychology, 20''(1), 61–69. Retrieved from https://citeseerx.ist.psu.edu/document?repid=rep1&amp;type=pdf&amp;doi=b9fa967838934c041dffc5ad71f169fbcc70ea82

Hayes, C. (2002, March). Is taking a Psychedelic an act of sedition? (Medicine). ''Tikkun'', ''17''(2), 24+. [https://go.gale.com/ps/i.do?id=GALE%7CA83699556&amp;sid=googleScholar&amp;v=2.1&amp;it=r&amp;linkaccess=abs&amp;issn=08879982&amp;p=LitRC&amp;sw=w&amp;userGroupName=anon%7E74060164&amp;aty=open-web-entry https://link.gale.com/apps/doc/A83699556/LitRC?u=anon~9cf42d12&amp;sid=googleScholar&amp;xid=db7b35ad]

Kałużna, A., Schlosser, M., Craste, E. G., Stroud, J., &amp; Cooke, J. (2022). Being no one, being one: The role of ego-dissolution and connectedness in the therapeutic effects of psychedelic experience. ''Journal of Psychedelic Studies, 6''(2). [https://akjournals.com/view/journals/2054/6/2/article-p111.xml https://doi.org/10.1556/2054.2022.00199]

Krebs, T. S., &amp; Johansen, P. (2013). Psychedelics and mental health: A population study. ''PLoS One, 8''(8). [https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0063972 https://doi.org/10.1371/journal.pone.0063972]

Lapsley, D. K., &amp; Stey, P. C. (2011). Id, ego, and superego. In V. S. Ramachandran (Ed.), ''Encyclopedia of human behavior'' (2nd ed., pp. 1–9). Academic Press. https://maplab.nd.edu/assets/224926/id_ego_superego_encyclopedia_of_human_behavior.pdf

Lebedev, A. V., Lövdén, M., Rosenthal, G., Feilding, A., Nutt, D. J., &amp; Carhart-Harris, R. L. (2015). Finding the self by losing the self: Neural correlates of ego-dissolution under psilocybin. ''Human Brain Mapping, 36''(8), 3137–3153. [https://onlinelibrary.wiley.com/doi/epdf/10.1002/hbm.22833 https://doi.org/10.1002/hbm.22833]

Letheby, C., &amp; Gerrans, P. (2017). Self unbound: Ego dissolution in psychedelic experience. ''Neuroscience of Consciousness, 2017''(1), nix016. [https://academic.oup.com/nc/article/2017/1/nix016/3916730 https://doi.org/10.1093/nc/nix016]

Loevinger, J. (1979). The idea of the ego. ''The Counseling Psychologist, 8''(2), 3–5. [https://journals.sagepub.com/doi/10.1177/001100007900800202 https://doi.org/10.1177/001100007900800202]

Millière, R. (2017). Looking for the self: Phenomenology, neurophysiology and philosophical significance of drug-induced ego dissolution. ''Frontiers in Human Neuroscience, 11'', 191130. [https://www.frontiersin.org/journals/human-neuroscience/articles/10.3389/fnhum.2017.00245/full https://doi.org/10.3389/fnhum.2017.00245]

Millière, R., Carhart-Harris, R. L., Roseman, L., Trautwein, F. M., &amp; Berkovich-Ohana, A. (2018). Psychedelics, meditation, and self-consciousness. ''Frontiers in Psychology, 9'', 1475. [https://www.frontiersin.org/journals/psychology/articles/10.3389/fpsyg.2018.01475/full https://doi.org/10.3389/fpsyg.2018.01475]

Park, Y. C., &amp; Pyszczynski, T. (2019). Reducing defensive responses to thoughts of death: Meditation, mindfulness, and Buddhism. ''Journal of Personality and Social Psychology, 116''(1), 101–118. [https://web-p-ebscohost-com.ezproxy.canberra.edu.au/ehost/pdfviewer/pdfviewer?vid=0&amp;sid=5a52fad5-11b2-4457-b3c8-0a0411942768%40redis https://doi.org/10.1037/pspp0000163]

Rennison, N. (2015). ''Freud and psychoanalysis: Everything you need to know about id, ego, super-ego and more''. Oldcastle Books. Retrieved from https://www.psicopolis.com/psicopedia/SFreudpsychoanalysis.pdf

Rindfleish, J. (2007). The “death of the ego” in East‐meets‐West spirituality: Diverse views from prominent authors. ''Zygon, 42''(1), 65–76. [https://web-p-ebscohost-com.ezproxy.canberra.edu.au/ehost/pdfviewer/pdfviewer?vid=0&amp;sid=960b4106-7102-4122-8d02-e2753b269a18%40redis https://doi.org/10.1111/j.1467-9744.2006.00805.x]

Rouse, K. A. G. (2004). Beyond Maslow's hierarchy of needs: What do people strive for? ''Performance Improvement, 43''(10), 27. [https://onlinelibrary.wiley.com/doi/10.1002/pfi.4140431008 https://doi.org/10.1002/pfi.20015]

Senanayake, R. (2022). From Ego to Death: Validation of the Ego-Dissolution Scale (EDS). Open Access Te Herenga Waka-Victoria University of Wellington. ''Thesis''. [https://openaccess.wgtn.ac.nz/articles/thesis/From_Ego_to_Death_Validation_of_the_Ego-Dissolution_Scale_EDS_/20380158?file=36426744 https://doi.org/10.26686/wgtn.20380158] 

Simons, J. A., Irwin, D. B., &amp; Drinnien, B. A. (1987). ''Maslow’s hierarchy of needs.'' http://eznow7jgmenpjz.pic3.eznetonline.com/upload/MASLOW_YQfG.pdf

Smith, W. R., &amp; Sisti, D. (2021). Ethics and ego dissolution: The case of psilocybin. ''Journal of Medical Ethics, 47''(12), 807–814. [https://jme.bmj.com/content/47/12/807 https://doi.org/10.1136/medethics-2020-106070]

Taylor, S. M. (2018). Two modes of sudden spiritual awakening? Ego-dissolution and explosive energetic awakening. International Journal of Transpersonal Studies, 37(2), 131–143. https://doi.org/10.24972/ijts.2018.37.2.131

Wellander, K. (2022). Prescribed ego-death: The therapeutic effects found in the psychedelic-induced absence of self. Retrieved from https://www.diva-portal.org/smash/get/diva2:1690149/FULLTEXT01.pdf

Zamaria, J. A. (2014). A phenomenological examination of psilocybin use and its positive and persisting aftereffects. ''Alliant International University.'' Retrieved from https://www.proquest.com/docview/1648433473?pq-origsite=gscholar&amp;fromopenview=true&amp;sourcetype=Dissertations%20&amp;%20Theses

}}

==External links==
* [https://www.youtube.com/watch?v=Ts13p-R4nXo Dr Andrew Huberman with Sam Harris: Psilocybin &amp; Ego Death] (YouTube: Huberman Lab Experience)
* [https://www.youtube.com/watch?v=HCfIXvQ6fxE Joe Rogan on ego death] (YouTube: JRE Clips)
* [https://www.thenile.com.au/books/timothy-leary/the-psychedelic-experience/9780806541822?gad_source=1&amp;gbraid=0AAAAADhOHwh9qAtCuol2HxTCIFvHWznV_&amp;gclid=Cj0KCQjwq_G1BhCSARIsACc7NxqW-JhT9BZQBcinMTqVuq7g0g5znoUxuoQHwNlH9aM2g3qFv3LPu-EaAlZvEALw_wcB The psychedelic experience]  (Book: Timothy Leary, Richard Alpert and Ralph Metzner)
* [https://www.youtube.com/watch?v=F5kqThVON18 Your brain on shrooms] (YouTube: AsapSCIENCE)

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==Overview==
{{robelbox|width=30|theme=6|title=Case scenario}} &lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
[[File:Starman 07.jpg|thumb|Figure 1. Psilocybin induced altered state of consciousness.]]

;Scenario

Imagine Doug, a 37-year-old husband and father of 3, burdened by the pressures of work and family life, seeks a way to alleviate his stress. He decides to attend a weekend retreat where he is taken through a practitioner-guided [https://en.wikipedia.org/wiki/Psilocybin psilocybin] {{ic|Use wiki style links per Tutorial 2}} session and experiences a profound shift in consciousness, dissolving his ego entirely (see figure 1) {{ic|Use APA style - see Figure 2}}. In this state, Doug feels a deep connection to the universe, experiencing an overwhelming sense of unity and peace and no sense of individual identity. The effect lasts for several hours and Doug is able to reframe his beliefs and ideas of his life with this newfound perspective. The experience reveals to him the source of his stress: his rigid attachment to his roles and identity, his belief that he must be the peacekeeper and the idea that his life will never amount to anything more. With this newfound understanding, Doug can reframe his beliefs about himself and the world, finding it more natural to balance his responsibilities, invite more peace and calm into his life and live in the present moment.  
&lt;/div&gt;
{{Robelbox/close}}

This chapter delves into the nature of ego death, its implications, and the various ways it can be facilitated. To answer these questions, we {{ic|Use 3rd person perspective}} must first understand the concept of the ego to fully grasp what is meant by its dissolution or &quot;death&quot;. Ego death is a relatively new field of research for scientists, but there are a growing number of studies that reveal its theoretical underpinnings. Research has indicated significant psychological transformations, changes in identity, connection to self, others and personal growth and development. However, there are vital implications and risks associated with ego death that necessitate exploration to ensure safe and effective avenues of facilitation of this experience. Understanding the scientific basis of ego death can provide evidence-based methods for inducing it and insight into its effects on mental health.

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;Focus questions:

# What is the ego and what is ego death?
# What are the consequences of ego death?
# How can ego death be facilitated? 
# What are the neurological and psychological aspects of ego death?
# What are the ethical considerations and potential risks associated with facilitating ego death?
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==Introduction to ego death==
Ego death is a profound psychological and spiritual experience that transcends the ordinary understanding of self, and is a core tenet of enlightenment teachings (Rindfleish, 2007). Ego death necessitates an understanding of the ego and the self. Modern views see the ego as a dynamic cognitive construct that guides behaviour, diverging from earlier beliefs of solely instinctual drives. Ego death occurs when self-reference dissolves, leading to a profound sense of unity with the universe.

=== Conceptualising the ego ===
To conceptualise ego death, we must first understand what is meant by the [[wikipedia:Ego|ego]]. The concept of the ego is not easily defined and has often been challenged by researchers and scientific theorists (Loevinger, 1979). The ego, sometimes referred to as the &quot;self&quot;, includes moral judgment, self-perception, and interpersonal relations, believed to be a subjective aspect of consciousness that engages with human thoughts and emotions (Erlich, 1996; Loevinger, 1979). Modern ego psychology views the ego as a systematic construct of mental processes that guides rational and emotional behaviour, diverging beyond earlier philosophies of the ego as merely driven by basic instincts. Lastly, the ego fluctuates between the idea of the individuated self, and broader social contexts, simultaneously perceiving itself in a subjective sense and in comparison to others. (Power and Lapsley, 1988).   

=== Theoretical interpretations of the ego ===
Allport (1943), in his account of &quot;The Ego in Contemporary Psychology&quot;, collated many definitions of the ego from the early 18&lt;sup&gt;th&lt;/sup&gt; century until the early 20&lt;sup&gt;th&lt;/sup&gt; century (see Table 1).

{| class=&quot;wikitable&quot;
|+Table 1. Definitions of The Ego throughout history
!Theory
!Theorist(s)
!Year(s)
!Description
|-
|Ego as Knower
|Franz Brentano, William James
|Brentano (1838-1917), James (1890)
|The ego is the subject actively engaging with the universe. 
|-
|Ego as Object of Knowledge
|David Horowitz
|Early 20th century
|Experiencing the self through introspection. 
|-
|Ego as Primitive Selfishness
|Max Stirner, Felix Le Dantec
|Stirner (1844), Le Dantec (1918)
|Argues that humans are inherently selfish, with egoism forming the foundation of social structures. 
|-
|Ego as Dominance-Drive
|Not attributed to a particular theorist
|Emerged in early to mid-20th century
|Sees the ego as the part of personality that demands status and recognition. Linked to dominance and the need for social order.
|-
|Ego as a Passive Organisation of Mental Processes
|Sigmund [[wikipedia:Sigmund_Freud|Freud]]
|Late 19th to early 20th century
|The ego as a passive entity mediating conflicts among the id, superego, and external forces, often resulting in anxiety.
|-
|Ego as a Fighter for Ends
|[[wikipedia:William_James|William James]], Heinz Hartmann
|James (late 19th century), Hartmann (mid-20th century)
|The ego as an active agent striving for mastery and planning.
|-
|Ego as a Behavioural System
|Kurt Lewin, [[wikipedia:Kurt_Koffka|Kurt Koffka]]
|Lewin (early to mid-20th century), Koffka (early 20th century)
|The ego as a dynamic system influencing actions when active and within overall behaviour.
|-
|Ego as the Subjective Organisation of Culture
|[[wikipedia:Muzafer_Sherif|Muzafer Sherif]], Hadley Cantril
|Mid-20th century
|The ego emphasised by social values and cultural influences.
|}

The ego is a complex and transient concept that defies a single definition, varying across psychological perspectives (see Table 1).

[[File:Sigmund Freud LIFE.jpg|left|thumb|169x169px|Figure 2. Sigmund Freud, psychoanalyst]]

According to Sigmund Freud {{ic|Add link to Wikipedia article}} (see figure 2) and his [[wikipedia:Psychoanalytic_theory|psychoanalytic theory]] of the ego, the self is shaped by three main components: the [[wikipedia:Id,_ego_and_superego|id, the ego, and the superego]], which are inextricably linked to influence self-development over the lifespan (Lapsley &amp; Stay, 2011). Freud believed these to be the three components of the mind, that when interacting skilfully, results in a mentally stable individual (Rennison, 2015, p.38-40). The Id encompasses the instinctual domains and drives unconscious and primary processes of satisfying survival needs and seeking out pleasure (Lapsley &amp; Stay, 2011). Additionally, the ego is a component of the id that remains largely unconscious, yet it is considered more evolved, incorporating a perceptual system that bridges the gap between unconscious drives and conscious awareness. Finally, the superego is a conscious version of the self that strives for perfection and bases its drives on the moralistic ideals and standards of society (Lapsley &amp; Stay, 2011).

[[File:Maslow's Hierarchy of Needs2.svg|thumb|380x380px|Figure 3. Maslow's hierarchy of needs]]

Another well considered scientific theory of the self can be found in [[wikipedia:Abraham_Maslow|Abraham Maslow]]’s hierarchy of needs (see Figure 3.). This theory consists of five basic needs: physiological, safety, belongingness, self-esteem, and [[wikipedia:Self-actualization|self-actualisation]] (Simons et al., 1987). This hierarchy is represented as a pyramid (See figure 3) with the basic survival needs at the base and the higher-order needs at the top. The dominant idea is that one can only progress through the hierarchical levels after first satiating the prior level, yet theorists question the practicality of that idea due to instances where individuals have reached the top of the pyramid without first satiating more basic drives (Rouse, 2004). According to the hierarchy, self-actualisation is said to become a persistent need that takes priority after the former biological and social needs have first been met (Rindfliesh, 2007). This could explain a drive towards the egoless state, away from the more primitive aspects of the human experience.   

=== Interpretations of ego death ===
[[File:View of &quot;The Death of Ego&quot; wall art on Hanbury Street - geograph.org.uk - 4871564.jpg|thumb|380x380px|Figure 4. Wall art named &quot;The Death of Ego&quot;]]
Ancient philosophical understandings of ego death were traditionally derived from Eastern religions, including [[wikipedia:Hinduism|Hinduism]] and [[wikipedia:Buddhism|Buddhism]] (Rindfleish, 2007). Moreover, the &quot;death of the ego,&quot; is emphasised by Western Buddhists as the challenge to transcend the illusions of the referential self, reducing or eliminating personal desires. The idea is often linked to scriptural references from Jesus, who spoke of this transformative state before the experience of actual physical death. This elaboration suggests the possibility of attaining an egoless state of complete self-actualisation while still in human form, highlighting the historical roots of ego death (Rindfleish, 2007). 

A sense of self is fundamental to the human experience, and contained within this idea is the capacity for self-reflection, [[wikipedia:Theory_of_mind|theory of mind]], [[wikipedia:Individuation|individuation]], decision making and subjective perceptions (Wellender, 2022). However, ego dissolution is the result of a reduction in this self-referential awareness, where a loss of usual boundaries with the objective world become apparent and an experience of connection with others, nature, the universe and God become increasingly salient. Although difficult to quantify, ego deaths mystical nature, there seems to be a positive correlation as the therapeutic effects of ego dissolution increase, so to do the mystical experiences {{rewrite}} (Wellender, 2022). 

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; Quiz

Choose your answers and click &quot;Submit&quot;:
&lt;quiz display=&quot;simple&quot;&gt;
{According to Freud, which part of the mind controls our instincts and basic drives?
|type=&quot;(True)&quot;}
+ Id
- Superego
- Ego

{What is the ego according to modern psychological theories?
|type=&quot;(True)&quot;}
- The id, ego, and superego working harmoniously together.
+ Self-referential awareness and a subjective sense of self involved in thoughts and emotions.
- A moralistic part of the self based on societal ideals.

{Ego death is simply the absence of thought and cognition:
|type=&quot;(False)&quot;}
- True
+ False

&lt;/quiz&gt;
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== Consequences of ego death ==
Ego death, frequently induced by meditation, sudden life events and [[wikipedia:Psychedelic_drug|psychedelics]], brings about significant changes in one's reality and perception. This experience involves the dissolution of the personal self, creating a sense of oneness with the universe and blurring the typical boundaries between self and others.

=== Altered perception and self awareness ===
Ego dissolution, often reported by psychedelic drug users, involves the loss or reduction of the sense of a distinct &quot;self&quot; separate from the world (Letheby &amp; Garrans, 2017). Furthermore, neuroscientific research explains this phenomena through predictive processing models, which suggest that self-awareness stems from the brain's hierarchical models that create the perception of a stable, unchanging self. This &quot;self&quot; is seen as a cognitive construct, or a &quot;Cartesian fiction&quot; (see [[wikipedia:Cartesianism|Cartesianism]]), that helps unify and integrate cognitive processes (Letheby &amp; Garrans, 2017). Although the self-model plays an important role in organising thoughts and perceptions, it is not a real, enduring entity. Ego dissolution experiences reveal that the self is an illusion, a cognitive function that can be disrupted.

=== Therapeutic benefits ===
There are many positive psychological and emotional outcomes of ego death that have been evidenced to contribute to therapeutic outcomes. Enhanced problem solving due to large perceptual shifts and the ability to depersonalise from everyday life are major contributing effects of experiencing ego death (Smith &amp; Sisti, 2021). Ego-dissolution may serve as a catalyst for breaking down rigid mental structures, allowing for new insights, while connectedness provides a foundation for enduring positive change. (Kałużna. 2022). This process may contribute to reports of reduced symptoms of depression and anxiety, facilitating positive therapeutic outcomes.

=== Spiritual transformation ===
Individuals have reported unique benefits such as enhanced self-understanding, feelings of self-loss and unity, and a deeper sense of connectedness, all of which lead to lasting changes in worldview (Smith &amp; Sisti, 2021). Moreover, these experiences, often described as ego dissolution or 'death of the ego,' can result in spiritual awakening and profound shifts in perspective. In research by Taylor (2018), individuals reported experiencing ego dissolution, followed by an abrupt shift in consciousness that led to a spiritual awakening. These shifts were said to be catalysed by intense or stressful life events, during which individuals 'let go' of their stressors, triggering an ego death that resulted in the collapse of the self and the experience of a blissful state or spiritual transformation.

== Facilitating ego death ==
[[wikipedia:Meditation|Meditation]] and [[wikipedia:Mindfulness|mindfulness]] practices and consumption of psychedelic substances are known to reduce attachment to the ego and induce ego dissolution{{fact}}, although complete ego death remains debated{{fact}}. Studies have shown that meditation can diminish defensive reactions to thoughts of mortality, while facilitated psychedelic use can disrupt negative self-referential thought patterns, contributing to treatments for depression and anxiety{{fact}}. 

=== Meditation and mindfulness ===
Meditative practices specifically seek to dissolve the sense of self by inducing altered states of [[wikipedia:Consciousness|consciousness]] through meditation (Millière et al., 2018). The concept of total ego dissolution can be misleading, as those who report experiencing it may only be referring to the loss of certain self aspects, not the self as a whole. Additionally, determining whether complete ego death is possible is challenging, as there seems to be an underlying sense of self that must reference the egoless state in order to describe it. Traditional Eastern religions, like Hinduism and Buddhism, emphasise the importance of ego death to benefit from spiritual practices, by lessening or eliminating desires (Rindfleish, 2007). Moreover, meditation and mindfulness aims to diminish the sense of the ego by quieting the mind and reducing attachment to the self.  

In a modern approach that reflects the Western attitude toward self and the ego, the principle of ego death has been adapted to emphasise the acceptance and transformation of the ego, rather than its complete elimination (Epstein, 1988). In a study by Park and Pyszczynski (2019) examining the impact of meditation and mindfulness on defensive responses to [[wikipedia:Mortality_salience|mortality salience]], all three experiments showed that meditation effectively reduced these responses, regardless of previous experience with meditation or not. Overall, these findings suggest that meditation and mindfulness facilitate ego death by quieting the mind, reducing attachment to the self, and lessening defensive reactions to mortality. Interpreting ego death in this way suggests that mindfulness and meditation serve primarily as tools to transform and integrate the existing ego, creating a self-identity that is less attached to the 'self' overall (Rindfleish, 2007).  

=== Psychedelic perspectives ===
[[File:Psilocybe semilanceata 6514.jpg|thumb|Figure 5. Psilocybe semilanceata &quot;magic mushrooms&quot;{{ic|Explain how this relates to the topic}}]]

[[wikipedia:Psychedelic_therapy|Psychedelic assisted therapy]] or self-controlled ingestion either recreationally or intentionally are the most efficient methods to experience and facilitate ego death (Smith &amp; Sisti, 2021). Psychedelic plants and hallucinogenic substances, such as [[wikipedia:Psilocybin_mushroom|psilocybin]] (see Figure 5), [[wikipedia:Mescaline|mescaline]], and [[wikipedia:LSD|LSD]], have been traditionally used in ceremonies, religious rites of passage, and healing (Krebs &amp; Johnson, 2013). Research into the therapeutic effects of psilocybin began many decades ago, suggesting efficacy for depression, anxiety, and smoking and alcohol cessation (Smith &amp; Sisti, 2021) and there are significant associations between lifetime psychedelic use and mental health problems like anxiety, depression, PTSD, panic disorder and psychosis, (Krebs &amp; Johnson, 2013){{ic|Review this sentence - it seems to imply contradictory relationships?}}. Findings by Wellender (2022) indicate that as the degree of ego-dissolution increases, the symptoms of disorders characterised by a heightened sense of self, such as depression and anxiety, tend to decrease. This supports the hypothesis that the therapeutic effects of psychedelics may be linked to their ability to disrupt repetitive negative self-referenced thought patterns (Wellander, 2022), leading to decreases in psychological disorders and mental health problems. The loss of self and self importance described as ego dissolution appears to play a central role in the therapeutic effects documented by the research (Smith &amp; Sisti, 2021).

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'''Stop and reflect'''

If you could hit the reset button on your identity, what old beliefs would you leave behind? 

How do you think your life would change if you stopped defining yourself by your past experiences—would it feel exciting, or a little scary?
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== Neurology in ego death ==
There are neurological underpinnings to ego death that challenge the notion of it being solely a mystical experience. Psychedelics like LSD, psilocybin, and [[wikipedia:N,N-Dimethyltryptamine|dimethyltryptamine]] (DMT) alter brain activity, and psychological science can illustrate how changes in brain function contribute to the sensation and experience of ego death.

[[File:Default mode network-WRNMMC.jpg|left|thumb|280x280px|Figure 7. Default Mode Network in the brain]]

Psychedelic and hallucinogenic drugs can significantly affect an individual’s sense of self, perceptions, and brain functioning. Classical psychedelics, like LSD, psilocybin, ayahuasca, and DMT, work by interacting with specific brain receptors and parts of the brain (Millière, 2017; Senanayake, 2022). Notably, the [[wikipedia:5-HT2A_receptor|5-HT2A receptor]], which is vital for understanding the self and the world, becomes destabilised under the influence of these substances, leading to ego dissolution, where the distinction between oneself, their environment, and their sense of self-identity becomes blurred{{fact}}. 

Research indicates that these drugs also influence brain regions such as the [[wikipedia:Default_mode_network|default mode network]] (DMN) (see figure 7), which is related to introspection, self-awareness, self-referential thoughts, and memory, and is usually active when we are not focused on an external task (Millière, 2017; Senanayake, 2022). Furthermore, psychedelics have been shown to decrease DMN activity, potentially contributing to the sensation of ego loss by disrupting regular self-awareness and altering brain connectivity between different regions. DMN decreased activity is also apparent during deep meditation and other experiences of ego dissolution.

Psilocybin works slightly differently as it increases the connection between the DMN and the [[wikipedia:Dorsal_attention_network|task positive network]] (involved in problem solving, decision-making focused attention and executing actions), while also reducing the inverse relationship between these areas during meditation (Senanayake, 2022). Additionally, psilocybin decreases the coupling between the DMN and the medial [[wikipedia:Temporal_lobe|temporal lobe]], which is linked to dream-like states and [[wikipedia:Depersonalization-derealization_disorder|depersonalisation disorders]]. This uncoupling results in the usual rigid sense of self and distinctions between the self and the external world becoming less defined, contributing to experiences of ego dissolution or ego death.

A study by Lebedev and colleagues (2015) explored the neural mechanisms behind ego disturbances, particularly ego dissolution, in the context of schizophrenia and psilocybin-induced psychedelic experiences. The research was conducted on 15 healthy participants and measured using [[wikipedia:Functional_magnetic_resonance_imaging|functional MRI]] scans, comparing brain activity after administering a saline [[wikipedia:Placebo|placebo]] or 2 mg of psilocybin. The results suggested that psilocybin-induced ego dissolution is linked to decreased connectivity between the medial temporal lobe and high-level cortical regions, breakdown of the [[wikipedia:Salience_network|salience network]], and reduced interhemispheric communication. Overall, the results imply that the regular functioning of these brain networks is responsible for the sense of self and offer insights into ego disturbances in clinical and non-clinical settings (Lebedev et al., 2015).

==Conclusion==
Ego death represents a profound and transformative experience that challenges traditional perceptions of the self. Through practices such as meditation, mindfulness, and psychedelic use, individuals can transcend their ordinary sense of identity, leading to the dissolution of the ego. This altered state of consciousness reveals a deeper connection with the universe, fostering significant psychological and spiritual growth. Studies suggest that ego death can result in increased well-being, personal growth, and resilience, with individuals reporting greater insights into their sense of self, purpose, and their place in the world.

While meditation and mindfulness help reduce attachment to the self and diminish defensive reactions to reminders of mortality, psychedelics like psilocybin offer an efficient way to induce ego dissolution, often producing long-lasting shifts in worldview and enhancing mental health. Research has shown that psychedelics may reduce symptoms of anxiety, depression, and other psychological disorders by disrupting negative self-referential thought patterns. 

However, the facilitation of ego death is not without risks. Ethical considerations must be taken into account, particularly regarding the responsible use of psychedelics and the potential psychological impacts of such profound experiences. Additionally, more research is needed to understand the full implications of ego dissolution on mental health, especially concerning long-term outcomes and the integration of these experiences into everyday life.

Overall, the understanding of ego death within a psychological and spiritual framework opens new pathways for therapeutic practices, offering a unique approach to mental health and personal development. Through continued research, this concept has the potential to further advance evidence-based approaches in therapy and improve psychological well-being.

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'''Key takeaways'''

* '''Ego death''' is like resetting your mind, helping you let go of old beliefs and see things anew.
* You can achieve this through '''meditation''' and '''mindfulness''', which act as tools to clear your mind and find peace.
* '''Psychedelics''' can be used to enhance this experience, easing anxiety and depression and aiding deep and long lasting transformation.
* Using psychedelics '''responsibly''' and with '''clinical supervision''' is advised.
* Embracing ego death unlocks '''self-discovery''', inviting you to explore profound, '''mystical experiences''' that are often hard to explain through science alone.
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== See also ==
* [[Motivation and emotion/Book/2024/Ayahuasca and the brain|Ayahuasca and the brain]] (Book chapter, 2024)
* [[Motivation and emotion/Book/2023/Death and meaning in life|Death and meaning in life]] (Book Chapter, 2023)
* [[Motivation and emotion/Book/2023/Ego death|Ego death]] (Book chapter, 2023)
* [[wikipedia:Ego_death|Ego death]]  (Wikipedia)
* [[wikipedia:Philosophy_of_self|Philosophy of self]] (Wikipedia)
* [[wikipedia:Self_in_Jungian_psychology|Self in Jungian psychology]] (Wikipedia)

==References==
{{Hanging indent|1=

Allport, G. W. (1943). The ego in contemporary psychology. ''Psychological Review, 50''(5), 451. [https://web-p-ebscohost-com.ezproxy.canberra.edu.au/ehost/pdfviewer/pdfviewer?vid=0&amp;sid=76f44453-d90c-4ecd-8da1-5427ba12fb7d%40redis https://doi.org/10.1037/h0055375]

Barac, V. (2010). Vine of the soul: Encounters with ayahuasca. ''Anthropologica, 52''(2), 413–414. Retrieved from [https://www.proquest.com/docview/817184367?accountid=28889&amp;sourcetype=Scholarly%20Journals https://www.proquest.com/docview/817184367?accountid=28889]

Epstein, M. (1988). The deconstruction of the self: Ego and “egolessness” in Buddhist insight meditation. ''The Journal of Transpersonal Psychology, 20''(1), 61–69. Retrieved from https://citeseerx.ist.psu.edu/document?repid=rep1&amp;type=pdf&amp;doi=b9fa967838934c041dffc5ad71f169fbcc70ea82

Hayes, C. (2002, March). Is taking a Psychedelic an act of sedition? (Medicine). ''Tikkun'', ''17''(2), 24+. [https://go.gale.com/ps/i.do?id=GALE%7CA83699556&amp;sid=googleScholar&amp;v=2.1&amp;it=r&amp;linkaccess=abs&amp;issn=08879982&amp;p=LitRC&amp;sw=w&amp;userGroupName=anon%7E74060164&amp;aty=open-web-entry https://link.gale.com/apps/doc/A83699556/LitRC?u=anon~9cf42d12&amp;sid=googleScholar&amp;xid=db7b35ad]

Kałużna, A., Schlosser, M., Craste, E. G., Stroud, J., &amp; Cooke, J. (2022). Being no one, being one: The role of ego-dissolution and connectedness in the therapeutic effects of psychedelic experience. ''Journal of Psychedelic Studies, 6''(2). [https://akjournals.com/view/journals/2054/6/2/article-p111.xml https://doi.org/10.1556/2054.2022.00199]

Krebs, T. S., &amp; Johansen, P. (2013). Psychedelics and mental health: A population study. ''PLoS One, 8''(8). [https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0063972 https://doi.org/10.1371/journal.pone.0063972]

Lapsley, D. K., &amp; Stey, P. C. (2011). Id, ego, and superego. In V. S. Ramachandran (Ed.), ''Encyclopedia of human behavior'' (2nd ed., pp. 1–9). Academic Press. https://maplab.nd.edu/assets/224926/id_ego_superego_encyclopedia_of_human_behavior.pdf

Lebedev, A. V., Lövdén, M., Rosenthal, G., Feilding, A., Nutt, D. J., &amp; Carhart-Harris, R. L. (2015). Finding the self by losing the self: Neural correlates of ego-dissolution under psilocybin. ''Human Brain Mapping, 36''(8), 3137–3153. [https://onlinelibrary.wiley.com/doi/epdf/10.1002/hbm.22833 https://doi.org/10.1002/hbm.22833]

Letheby, C., &amp; Gerrans, P. (2017). Self unbound: Ego dissolution in psychedelic experience. ''Neuroscience of Consciousness, 2017''(1), nix016. [https://academic.oup.com/nc/article/2017/1/nix016/3916730 https://doi.org/10.1093/nc/nix016]

Loevinger, J. (1979). The idea of the ego. ''The Counseling Psychologist, 8''(2), 3–5. [https://journals.sagepub.com/doi/10.1177/001100007900800202 https://doi.org/10.1177/001100007900800202]

Millière, R. (2017). Looking for the self: Phenomenology, neurophysiology and philosophical significance of drug-induced ego dissolution. ''Frontiers in Human Neuroscience, 11'', 191130. [https://www.frontiersin.org/journals/human-neuroscience/articles/10.3389/fnhum.2017.00245/full https://doi.org/10.3389/fnhum.2017.00245]

Millière, R., Carhart-Harris, R. L., Roseman, L., Trautwein, F. M., &amp; Berkovich-Ohana, A. (2018). Psychedelics, meditation, and self-consciousness. ''Frontiers in Psychology, 9'', 1475. [https://www.frontiersin.org/journals/psychology/articles/10.3389/fpsyg.2018.01475/full https://doi.org/10.3389/fpsyg.2018.01475]

Park, Y. C., &amp; Pyszczynski, T. (2019). Reducing defensive responses to thoughts of death: Meditation, mindfulness, and Buddhism. ''Journal of Personality and Social Psychology, 116''(1), 101–118. [https://web-p-ebscohost-com.ezproxy.canberra.edu.au/ehost/pdfviewer/pdfviewer?vid=0&amp;sid=5a52fad5-11b2-4457-b3c8-0a0411942768%40redis https://doi.org/10.1037/pspp0000163]

Rennison, N. (2015). ''Freud and psychoanalysis: Everything you need to know about id, ego, super-ego and more''. Oldcastle Books. Retrieved from https://www.psicopolis.com/psicopedia/SFreudpsychoanalysis.pdf

Rindfleish, J. (2007). The “death of the ego” in East‐meets‐West spirituality: Diverse views from prominent authors. ''Zygon, 42''(1), 65–76. [https://web-p-ebscohost-com.ezproxy.canberra.edu.au/ehost/pdfviewer/pdfviewer?vid=0&amp;sid=960b4106-7102-4122-8d02-e2753b269a18%40redis https://doi.org/10.1111/j.1467-9744.2006.00805.x]

Rouse, K. A. G. (2004). Beyond Maslow's hierarchy of needs: What do people strive for? ''Performance Improvement, 43''(10), 27. [https://onlinelibrary.wiley.com/doi/10.1002/pfi.4140431008 https://doi.org/10.1002/pfi.20015]

Senanayake, R. (2022). From Ego to Death: Validation of the Ego-Dissolution Scale (EDS). Open Access Te Herenga Waka-Victoria University of Wellington. ''Thesis''. [https://openaccess.wgtn.ac.nz/articles/thesis/From_Ego_to_Death_Validation_of_the_Ego-Dissolution_Scale_EDS_/20380158?file=36426744 https://doi.org/10.26686/wgtn.20380158] 

Simons, J. A., Irwin, D. B., &amp; Drinnien, B. A. (1987). ''Maslow’s hierarchy of needs.'' http://eznow7jgmenpjz.pic3.eznetonline.com/upload/MASLOW_YQfG.pdf

Smith, W. R., &amp; Sisti, D. (2021). Ethics and ego dissolution: The case of psilocybin. ''Journal of Medical Ethics, 47''(12), 807–814. [https://jme.bmj.com/content/47/12/807 https://doi.org/10.1136/medethics-2020-106070]

Taylor, S. M. (2018). Two modes of sudden spiritual awakening? Ego-dissolution and explosive energetic awakening. International Journal of Transpersonal Studies, 37(2), 131–143. https://doi.org/10.24972/ijts.2018.37.2.131

Wellander, K. (2022). Prescribed ego-death: The therapeutic effects found in the psychedelic-induced absence of self. Retrieved from https://www.diva-portal.org/smash/get/diva2:1690149/FULLTEXT01.pdf

Zamaria, J. A. (2014). A phenomenological examination of psilocybin use and its positive and persisting aftereffects. ''Alliant International University.'' Retrieved from https://www.proquest.com/docview/1648433473?pq-origsite=gscholar&amp;fromopenview=true&amp;sourcetype=Dissertations%20&amp;%20Theses

}}

==External links==
* [https://www.youtube.com/watch?v=Ts13p-R4nXo Dr Andrew Huberman with Sam Harris: Psilocybin &amp; Ego Death] (YouTube: Huberman Lab Experience)
* [https://www.youtube.com/watch?v=HCfIXvQ6fxE Joe Rogan on ego death] (YouTube: JRE Clips)
* [https://www.thenile.com.au/books/timothy-leary/the-psychedelic-experience/9780806541822?gad_source=1&amp;gbraid=0AAAAADhOHwh9qAtCuol2HxTCIFvHWznV_&amp;gclid=Cj0KCQjwq_G1BhCSARIsACc7NxqW-JhT9BZQBcinMTqVuq7g0g5znoUxuoQHwNlH9aM2g3qFv3LPu-EaAlZvEALw_wcB The psychedelic experience]  (Book: Timothy Leary, Richard Alpert and Ralph Metzner)
* [https://www.youtube.com/watch?v=F5kqThVON18 Your brain on shrooms] (YouTube: AsapSCIENCE)

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      <text bytes="33014" sha1="teeiwbsfp8nfnjsq8mjtwakwvx7bj2i" xml:space="preserve">{{title|Coercive control in intimate partner violence:&lt;br&gt;What role does coercive control play in intimate partner violence?}}

== Overview ==
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[[File:5e2364ff-5909-4dbb-9935-58e3b8a6beec.png|thumb|'''Figure 1:''' Coercive control is an ongoing pattern of behaviour used to dominate another. ]]
'''Consider this scenario'''

Suzie began dating Daniel 18 months ago. At first, Daniel was attentive, but over time he became controlling. He questioned her clothes, her friendships, and the amount of time she spent alone. He expressed his concern as care. In response, Suzie distanced herself from friends and family to avoid conflict. Daniel began to check her phone and track her location. Daniel never inflicted physical harm on Suzie. However, his emotional manipulation and constant surveillance evoked fear and anxiety. Suzie worried about Daniel's behaviour if she were to leave, but she no longer trusted her own judgement. Suzie’s experience reflects coercive control, characterised by domination through emotional manipulation and surveillance (see Figure 1).
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This chapter examines coercive control within the broader context of intimate partner violence. It explores the key psychological theories and the effects on victims and what motivates perpetrators. [[w:Coercive_control|Coercive control]] is a form of behaviour that seeks to dominate and oppress another person. It often happens in intimate or domestic relationships (Mathews et al., 2025). It involves a range of tactics, including [[wikipedia:Manipulation_(psychology)|manipulation]], surveillance, and threats. Behaviours include [[wikipedia:Humiliation|humiliation]], economic restriction, and [[wikipedia:Social_isolation|social isolation]] (Stubbs et al., 2021). Coercive control is often difficult for victims and bystanders to recognise (Kassing &amp; Collins, 2025).  

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;Focus questions
# What is coercive control?
# What are some of the behaviours commonly used to exert coercive control?
# What relationship dynamics does coercive control occur in?
# What are the psychological impacts of coercive control on victims?
# What are the psychological motivations behind perpetrators of coercive control?
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== Understanding intimate partner violence and coercive control ==
[[w:Intimate_partner_violence|Intimate partner violence]] (IPV) and coercive control are significant public health concerns, associated with long-term health consequences for victims and survivors (Brandt &amp; Rudden, 2020). This section examines IPV and coercive control, focusing on their dynamics, the behaviours involved, and the experiences of victims.

=== What is intimate partner violence? ===
Intimate partner violence (IPV) is when a current or former partner causes intentional harm. This harm can be physical, sexual, or psychological. Behaviours can include aggression, coercion, [[wikipedia:Psychological_abuse|emotional]] and [[wikipedia:Verbal_aggression|verbal abuse]] (Mathews et al., 2025). IPV affects women in greater numbers, and it is the leading cause of [[wikipedia:Femicide|femicide]] (Stubbs et al., 2021). Worldwide, one in three women experiences physical or sexual violence from a partner (World Health Organization, 2024). 

IPV has serious effects beyond immediate injuries. It can lead to [[wikipedia:Mental_health|mental health]] issues, [[wikipedia:Substance_abuse|substance abuse]], and [[wikipedia:Suicide|suicidal behaviour]]. It can cause long-term health issues like [[wikipedia:Diabetes|diabetes]], [[wikipedia:Hypertension|hypertension]], and [[wikipedia:Chronic_pain|chronic pain]] (Stubbs et al., 2021). IPV affects children both directly and indirectly, through exposure in their homes (Dichter et al., 2018). The resulting emotional, behavioural, and physical impacts can persist into adulthood. IPV can potentially create a cycle of harm that spans across generations (Stubbs et al., 2021).

=== '''What is coercive control?''' ===
[[File:ChatGPT Image Aug 28, 2025 at 11 06 08 AM.png|thumb|300x300px|'''Figure 2''': Coercive control is a pattern of ongoing behaviours that aim to entrap and dominate the victim.]]

[[wikipedia:Controlling_behavior_in_relationships|Coercive control]] is a repeated pattern of actions that dominate and intimidate (Brandt &amp; Rudden, 2020). Abusers exert control by isolating their victims, gradually undermining their autonomy through domination of everyday life (see Figure 2). This is a pattern referred to as “intimate terrorism&quot; (Dichter et al., 2018). Research shows that women are more affected, and most identified perpetrators are men (Simic, 2025). Coercive control extends beyond romantic relationships. It can happen in families, impacting children (Dichter et al., 2018). 

Feminist scholars first identified coercive control in the 1970s and 1980s. They described how abusers made victims feel like hostages in their own homes (Dobash &amp; Dobash, 1979, as cited in Kassing &amp; Collins, 2025). Sociologist [[wikipedia:Evan_Stark|Evan Stark’s]] research highlighted the prevalence of controlling behaviours within intimate partner relationships. He noted that even without physical violence, it can still be a form of abuse (Simic, 2025). Coercive control can extend after the relationship ends, with ngoing threats or intimidation maintain fear and control over the victim's life (Brandt &amp; Rudden, 2020).  

Coercive control is now criminalised in many places around the world (Simic, 2025). Coercive control was criminalised in England and Wales in 2015, in Scotland in 2019, and in Ireland in 2019 (Walklate &amp; Fitz-Gibbon, 2019). In Australia, New South Wales criminalised coercive control from July, 2024, and Queensland followed with laws taking effect from May, 2025 (Walklate &amp; Fitz-Gibbon, 2019). Other regions, such as Tasmania, enacted related emotional and economic abuse offences in 2004 (Walklate &amp; Fitz-Gibbon, 2019) {{ic|Target an international audience; Australia represents 0.3% of the human population}}.

=== '''Behaviours of coercive control''' ===
The signs of coercive control are often complex, subtle, and less visible than those of physical abuse. Unlike physical violence, coercive control leaves no bruises or injuries (Brandt &amp; Rudden, 2020). These behaviours are often concealed within everyday interactions, framed as expressions of care or concern (Lohmann et al., 2024). Consequently, acts of coercive control frequently go unnoticed or may not be recognised as abusive by family, friends, or  the victim (Kassing &amp; Collins, 2025). Coercive control behaviours are not always illegal, however, they are often tailored to avoid detection, as seen in Table 1 (Lohmann et al., 2024):

'''Table 1.''' Behaviours that can be used in coercive control.
{| class=&quot;wikitable&quot; style=&quot;margin: auto;&quot;
|-
! Type of behaviour                         !!Behaviours presentation
|-
| Controlling behaviours || Controlling an individual's everyday life, this can include dictating what they wear, eat, who they see, and where they go.                                                                                                                       
|-
| Isolation ||Restricting an individual’s ability to leave the home to attend work, social events, or other activities.
|-
|Monitoring &amp; surveillance
|Constantly monitoring a person's whereabouts, all communication, or activities.
|-
|Financial abuse
|Limiting an individual’s access to money or financial resources.
|-
|Threats and intimidation tactics
|Using threats of violence, harm against the individual, their loved ones (including children and pets), or  belongings to evoke fear and/or maintain control.
|-
|Manipulating and gaslighting
|Undermining the victim’s sense of reality, making them doubt their perceptions or memories.
|-
|Emotional abuse
|Repetitive belittling, humiliation, or criticism damaging their self-esteem. 
|-
|Sexual coercion
|Pressuring or forcing another into sexual acts without their consent.
|}

== Coercive control in different intimate partner dynamics ==
Coercive control often gets attention in heterosexual relationships. However, it also happens in LGBTQIA+ relationships and to people with disabilities. This section examines different contexts and demonstrates how coercive control manifests in each.

=== LGBTQIA+ relationships and coercive control ===
[[File:Arguing LGBT couple.png|thumb|'''Figure 3''': Identity abuse involves manipulating someone by exploiting their personal identity.|220x220px]]

Coercive control also occurs in [[wikipedia:LGBTQ_people|LGBTQIA+]] relationships, with prevalence comparable to that in heterosexual relationships (Hilton et al., 2024). In these contexts, abuse often takes unique forms known as identity-based abuse (see Figure 3). Perpetrators target a partner’s sexual or gender identity through tactics such as [[wikipedia:Outing|outing]], misgendering, or restricting access to [[wikipedia:Transgender_health_care|gender-affirming]] care (Jennings-FitzGerald et al., 2024; Hilton et al., 2024).

Research indicates that [[wikipedia:Bisexuality|bisexual]] and [[wikipedia:Transgender|transgender]] individuals experience higher rates of IPV. When compounded by societal [[wikipedia:Homophobia|homophobia]] and [[wikipedia:Transphobia|transphobia]], intensifies harm and creates additional barriers to seeking support (MacDonald et al., 2024). LGBTQIA+ survivors also face distinct obstacles to safety. They may fear discrimination from support services, encounter limited availability of affirming resources, and encounter community stigma. These barriers can reinforce cycles of silence and marginalisation (MacDonald et al., 2024). 

=== '''Individuals with a disability and coercive control''' ===
[[File:Woman with disability.png|left|thumb|220x220px|'''Figure 4''': Women with disabilities are at risk of additional forms of abuse. ]]

Individuals with disabilities face a significantly higher risk of coercive control (Healy, 2013). Research shows that about one in three women with disabilities has experienced abuse from an intimate partner (Brownridge, 2006, as cited in Healy, 2013). Individuals with disabilities may experience specific forms of abuse, such as being denied or forced to take medication, having access to disability-related supports restricted, or expereince [[wikipedia:Reproductive_coercion|reproductive coercion]] (see Figure 4) (Dowse et al, 2013 as cited in Healy, 2013).  

Perpetrators can exploit individuals with disabilities dependence on caregivers and support services to maintain control (Healy, 2013). Access to safety resources is often limited by physical barriers and a shortage of specialised support services (Healy, 2013). Abuse of individuals with a disability tends to be more frequent.  The abuse occurs in diverse settings, including institutions and residential homes (Frohmader &amp; Cadwallader, 2014, as cited in Healy, 2013). 

{{Robelbox|left|alt=|theme=6|title=Learning Checkpoint 1|icon=Emblem-question-yellow.svg|iconwidth=48px}}&lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
&lt;quiz display=simple&gt; 
Controlling someone’s access to money is a type of financial coercive control::
|type=&quot;(+)&quot;}
+ True
- False

{Victims of coercive control often recognise the abuse immediately:
|type=&quot;(-)&quot;}
- True
+ False

{Coercive control does not occur exclusively in heterosexual relationships:
|type=&quot;(-)&quot;}
+ True
- False

&lt;/quiz&gt; 
&lt;/div&gt;
{{Robelbox/close}}

== Psychological impact on victims/survivors ==
A common stigma for victims of IPV, especially coercive control, is the question: ''“Why don’t they leave?&quot;.'' However, leaving a coercively controlling relationship can be extremely difficult. This section examines the psychological impacts of coercive control on victims.

=== Complex post traumatic stress disorder ===
[[File:Distressed women.png|thumb|270x270px|'''Figure 5:''' Victims of coercive control can suffer from CPTSD. ]]

Victims of coercive control often experience [[w:Trauma|trauma]]. Trauma can be understood as an individual’s psychosocial response to violence. Survivors of coercive control often experience prolonged terror (Lohmann, 2024). This can lead to [[w:Complex_post-traumatic_stress_disorder|complex post-traumatic stress disorder]] (CPTSD) (see Figure 5) (Pill et al., 2017, as cited in Lohmann, 2024). CPTSD differs from [[w:Post-traumatic_stress_disorder|post-traumatic stress disorder]] (PTSD). PTSD commonly arises after a single traumatic event or a brief period of trauma. It is characterised by symptoms such as re-experiencing the trauma, avoidance, and hyperarousal (Hulley et al., 2022). CPTSD encompasses additional difficulties, including challenges in emotional regulation, a negative self-concept, and ongoing relational disturbances (Lohmann, 2024). 

Research by Kennedy et al. (2018, as cited in Lohmann, 2024) indicates that the risk of developing CPTSD among victims of coercive control is particularly high. A meta-analysis of 45 studies on psychological abuse linked to coercive control found a significant, moderate positive relationship with CPTSD (Lohmann, 2024). This highlights the urgent need for trauma-informed psychological help designed for the unique consequences of coercive control.

=== Learned helplessness ===
[[File:Couple arguing.png|left|thumb|280x280px|'''Figure 6:''' The cycle of coercive control can leave individuals feeling helpless and trapped.]]

Victims of coercive control often develop learned helplessness and experience [[wikipedia:Self-esteem#Low|low self-esteem]] due to prolonged abuse (Aguilar &amp; Nightingale, 1994, as cited in Iftikhar et al., 2025). Learned helplessness is a psychological state where individuals feel unable to change their circumstances (see Figure 6). In the context of coercive control, this happens as perpetrators systematically undermine the autonomy of victims (Iftikhar et al., 2025). As feelings of helplessness increase, victims’ self-esteem typically declines (Jones et al., as cited in Iftikhar et al., 2025).

Dutton’s Learning Model (1993) shows that when victims can't stop the violence or change the abuser, they often accept the situation and stay. This reinforces feelings of helplessness and entrapment (Iftikhar et al., 2025). The cyclical nature of coercive control is marked by alternating tension, violence, and “honeymoon phases”. This pattern strengthens emotional bonds to the abuser and deepens the sense of being trapped (Iftikhar et al., 2025). Over time, victims internalise blame for the abuse. This psychological entrapment highlights the powerful barriers that keep victims bound to abusive dynamics.

{{RoundBoxTop|theme=6}}[[File:Women in despair.png|thumb|'''Figure 7:''' Learned helplessness develops over time as individuals self-esteem decreases. ]]

'''Case Study 2'''

Sarah, a 32-year-old woman, has been in a relationship with Mark for seven years. Mark dictates her social interactions, finances, and daily routines. Whenever Sarah tries to assert independence or challenge Mark's decisions, he belittles her. Gradually, Sarah has internalised the belief that nothing she does could change her situation (see Figure 7). She has stopped making decisions for herself and has become increasingly passive. When friends offer support or encourage her to leave, Sarah doubts her ability to cope alone. Sarah's psychological state illustrates the intersection of coercive control and learned helplessness. This case study highlights the profound impacts of sustained emotional abuse that can occur with coercive control.

{{RoundBoxBottom}}

=== '''Feminist theory''' ===
[[File:Frustrated working woman.png|left|thumb|'''Figure 8:''' Feminist theory suggests that systemic power imbalances in society often restrict women’s opportunities and influence.]]

Feminist theory views coercive control as part of the broader issue of systemic gender inequality, which is embedded within social structures (Brown, 1991, as cited in Kassing &amp; Collins, 2025). It frames coercive control not as mere personal conflict, but as stemming from larger power imbalances. In these imbalances, men have historically held more authority in relationships. At the same time, women occupy less powerful positions (Anderson, 2009, as cited in Kassing  &amp; Collins, 2025). Cultural expectations of masculinity reinforce men’s dominance. It limits women’s autonomy, both within the home and in broader society (Herman, 2015, as cited in Rakovec-Felser, 2014).  

Feminist theory highlights that male power in families is maintained through control of women, children, and other members (Herman, 2015, as cited in Kassing &amp; Collins, 2025). This creates an environment where abuse and coercion are normalised, and behaviours are perpetuated across generations (Rakovec-Felser, 2014). This can foster conditions in which coercive control and IPV frequently occur (Herman, 2015, as cited in Kassing &amp; Collins, 2025). Consequently, feminist theory conceptualises coercive control as a strategy for maintaining male dominance, restricting women’s freedom, and reinforcing unequal gender roles.

== Psychological drivers of perpetrators ==
Several psychological theories attempt to explain why certain perpetrators use coercive control in intimate relationships. In this section, we will focus on three: Social learning theory, attachment theory, and emotion regulation. 

=== '''Social learning theory''' ===
[[File:Boy and dad.png|left|thumb|'''Figure 9:''' Social Learning Theory suggests that behaviour is learned through observing and imitating others.]]

[[wikipedia:Social_learning_theory|Social learning theory]] explains how perpetrators acquire coercive and controlling behaviours. It highlights the role of observation in developing these behaviours (Bandura, 1977, as cited in Copp et al., 2020). Social learning theory posits that perpetrators learn coercive and controlling behaviours through observing and imitating others (see Figure 8). Parents and family members are significant role models who strongly influence children's behaviours (Copp et al., 2020). Children who see domestic violence are more likely to show aggressive or controlling behaviour in future relationships (Bandura, 1977, as cited in Copp et al., 2020). This exposure contributes to the intergenerational transmission of violent behaviours. 

Additionally, individuals who have experienced abuse can develop distorted beliefs about power and control. Dominance through fear and aggression can be internalised as acceptable forms of social interaction (Lichter &amp; McCloskey, 2004, as cited in Copp et al., 2020). This is reinforced if the actions appear to be rewarded to go unpunished (Copp et al., 2020). This learning pathway shows how patterns of coercive control continue in families. It helps explain the cycle of abuse that can last for generations.

=== Attachment theory ===
[[wikipedia:Attachment_theory|Attachment theory]] examines the bond between children and their caregivers. This bond plays a significant role in shaping self-concept and future relationship patterns (Bowlby, 1969/1982, as cited in Dichter et al., 2018). Research shows that insecure attachment styles, especially anxious and fearful avoidant, are more common in male perpetrators of coercive control (Mikulincer &amp; Shaver, 2016, as cited in Arseneault et al., 2023).

Anxiously attached individuals often fear abandonment, seek excessive reassurance, and are highly sensitive to rejection. They may appear dependent or clingy and frequently struggle to regulate intense emotions (Mikulincer &amp; Shaver, 2016, as cited in Arseneault et al., 2023). In coercive relationships, fears can manifest as controlling behaviours. This includes constant monitoring or limiting a partner’s social contacts (Spencer et al., 2021, as cited in Arseneault et al., 2023)

By contrast, those with fearful-avoidant attachment value independence, often avoiding intimacy and suppressing their emotions (Allison, 2008, as cited in Arseneault et al., 2023). These perpetrators may switch between being withdrawn to aggressive. These behaviours do not foster genuine connection; rather they serve as unhealthy ways to lower anxiety, avoid humiliation, and assert control (Bonache et al., 2019, as cited in Arseneault et al., 2023).

{{RoundBoxTop|theme=6}}[[File:Man accusing partner.png|thumb|'''Figure 10:''' Childhood attachment shapes self-concept and influences future relationship patterns.]] '''Case Study 3:'''

Growing up, John frequently witnessed his father being abusive toward his mother. The violence often escalated when his father had been drinking. This trauma resulted in his parents being emotionally unavailable. John developed an anxious-attachment style, characterised by hypervigilance in his close relationships. John’s unresolved childhood trauma manifests in controlling behaviours (see Figure 10). He scrutinises his partner Sam's daily movements and he accuses Sam of being unfaithful. These behaviours are driven by a fear-based need to maintain proximity and control. It is an unconscious strategy to prevent John’s perceived threat of abandonment.
{{RoundBoxBottom}}

=== Emotional regulation ===
[[File:Black Man Talking Angry on the Phone Cartoon Vector Cartoon Vector.svg|thumb|'''Figure 11:''' Difficulties regulating strong negative emotions may result in the use of coercive behaviours.|left]]

Perpetrators of coercive control often struggle to manage their emotions. This difficulty can contribute to them using controlling behaviours. A meta-analysis showed that struggles with negative emotions like anger, fear, and anxiety raise the chances of impulsive and harmful reactions (see Figure 11) (Gross, 1998, as cited in Maloney et al., 2023). The study found that perpetrators may use coercive tactics as maladaptive strategies to regain perceived control. Perpetrators often show traits like poor anger control, alexithymia, and impulsivity (Maloney et al., 2023). These traits can hinder a perpetrator’s ability to manage their distress effectively (Gratz &amp; Roemer, 2004, as cited in Maloney et al., 2023). 

Theoretical models consider emotion dysregulation an “impelling factor&quot; that increases the likelihood of aggression in perpetrators when provoked (Birkley &amp; Eckhardt, 2015, as cited in Maloney et al., 2023). In contrast, effective emotion regulation skills can inhibit such behaviour. For example, a perpetrator might interpret a partner’s late arrival as rejection. Lacking emotional regulation, they may respond by monitoring their partner's movements. Such behaviour will help them to moderate their feelings of vulnerability (Maloney et al., 2023).

{{Robelbox|left|alt=|theme=6|title=Learning Checkpoint 2|icon=Emblem-question-yellow.svg|iconwidth=48px}}&lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
&lt;quiz display=simple&gt; 
Victims / survivors of coercive can experience CPTSD:
|type=&quot;(+)&quot;}
+ True
- False

{Victim / survivors always blame the perpetrators for the abuse they endure:
|type=&quot;(-)&quot;}
- True
+ False

{Perpetrators of coercive control can struggle with negative emotions like anger, fear, and anxiety:
|type=&quot;(+)&quot;}
+ True
- False

&lt;/quiz&gt; 
&lt;/div&gt;
{{Robelbox/close}}

== Conclusion ==
This chapter explored how IPV is defined as abuse that includes physical, sexual, and psychological harm, occurring in intimate relationships (Mathews et al., 2025). Coercive control is understood as a repeated pattern of dominating and intimidating behaviours. Coercive control includes actions such as isolation, surveillance and economic restriction (Lohmann et al., 2024). Understanding these dynamics is vital for recognising forms of abuse that extend beyond physical violence (Brandt &amp; Rudden, 2020). Legal systems in many countries have now moved towards criminalising coercive control (Simic, 2025).

The chapter explored how coercive control manifests in diverse relationship contexts. These include heterosexual, LGBTQIA+, and relationships involving individuals with disabilities (Jennings-FitzGerald et al., 2024; MacDonald et al., 2024). This diversity underlines the pervasive nature of coercion. Relationship dynamics have distinct challenges faced by different victim/ survivors.

Experiencing coercive control has profound psychological consequences. These include CPTSD, learned helplessness, and diminished self-esteem (Lohmann, 2024; Iftikhar et al., 2025). These effects help explain why many survivors struggle to leave abusive relationships. Such trauma responses and emotional dependencies create significant barriers to escape (Iftikhar et al., 2025).  

Psychological models, such as social learning theory, attachment theory, and emotion regulation, provide valuable insights into perpetrators {{g}} behaviours. They help explain the underlying motivations behind their actions. They explore patterns of learned behaviour, attachment insecurities, and emotional dysregulation that perpetuate abusive behaviours (Copp et al., 2020; Arseneault et al., 2023; Maloney et al., 2023). 

This chapter highlighted the need for trauma-informed approaches in supporting victims and survivors. Victims and survivors need ongoing support after the relationship ends to rebuild their sense of safety, autonomy, and well-being. The effects of abuse often persist long after the relationship is over (Lohmann, 2024). Increased awareness and coordinated intervention strategies are essential to disrupting cycles of abuse. 

==See also==
* [[wikipedia:Domestic_violence|Domestic violence]] (Wikipedia)
* [[wikipedia:Domestic_violence_against_men|Domestic violence against men]] (Wikipedia)
* [[Motivation and emotion/Book/2015/Domestic violence and emotion regulation in children|Domestic violence and emotion regulation in children]] (Book chapter, 2015)
* [[Motivation and emotion/Book/2021/Domestic violence motivation|Domestic violence motivation]] (Book chapter, 2021)

* [[wikipedia:Intimate_partner_violence|Intimate partner violence]] (Wikipedia)
* [[Motivation and emotion/Book/2015/Leaving violent relationship motivation for women|Leaving violent relationship motivation for women]]

== References ==
{{Hanging indent|1=

Arseneault, L., Brassard, A., Lefebvre, A., Lafontaine, M., Godbout, N., Daspe, M., Savard, C., &amp; Péloquin, K. (2023). Romantic attachment and intimate partner violence perpetrated by individuals seeking help: The roles of dysfunctional communication patterns and relationship satisfaction. ''Journal of Family Violence'', ''39''(8), 1557–1568. &lt;nowiki&gt;https://doi.org/10.1007/s10896-023-00600-z&lt;/nowiki&gt;

Brandt, S., &amp; Rudden, M. (2020). A psychoanalytic perspective on victims of domestic violence and coercive control. ''International Journal of Applied Psychoanalytic Studies'', ''17''(3), 215–231. &lt;nowiki&gt;https://doi.org/10.1002/aps.1671&lt;/nowiki&gt;

Copp, J. E., Giordano, P. C., Longmore, M. A., &amp; Manning, W. D. (2016). The
development of Attitudes toward intimate partner Violence: an examination of key correlates among a sample of young adults. Journal of Interpersonal Violence, 34(7), 1357–1387. &lt;nowiki&gt;https://doi.org/10.1177/0886260516651311&lt;/nowiki&gt;

Dichter, M. E., Thomas, K. A., Crits-Christoph, P., Ogden, S. N., &amp; Rhodes, K. V. (2018). Coercive Control in Intimate Partner violence: Relationship with Women’s Experience of violence, Use of violence, and danger. ''Psychology of Violence'', ''8''(5), 596–604. &lt;nowiki&gt;https://doi.org/10.1037/vio0000158&lt;/nowiki&gt;

Healey, L. (2013). ''Voices against violence paper two: Current issues in understanding and responding to violence against women with disabilities. Women with Disabilities Victoria, Office of the Public Advocate, &amp; Domestic Violence Resource Centre Victoria.''&lt;nowiki&gt;https://www.wdv.org.au/our-work/building-the-knowledge/voices-against-violence/&lt;/nowiki&gt;

Iftikhar, K., Hasan. S., Ali Kazmi, S. M. (2025). Learned helplessness and Self-Esteem among Young Female Victims of Intimate Partner Violence. ''International Journal of Social Science Bulletin, 3(7''), 269-279. &lt;nowiki&gt;https://doi.org/10.5281/zenodo.15867692&lt;/nowiki&gt;

Lehmann, P., Simmons, C. A., &amp; Pillai, V. K. (2012). The Validation of the Checklist of Controlling Behaviors (CCB). ''Violence against Women'', ''18''(8), 913–933. &lt;nowiki&gt;https://doi.org/10.1177/1077801212456522&lt;/nowiki&gt;

Lohmann, S., Cowlishaw, S., Ney, L., O’Donnell, M., &amp; Felmingham, K. (2023). The Trauma and Mental Health Impacts of Coercive Control: A Systematic Review and Meta-Analysis. ''Trauma Violence &amp; Abuse'', ''25''(1), 630–647. &lt;nowiki&gt;https://doi.org/10.1177/15248380231162972&lt;/nowiki&gt;

Jennings‐Fitz‐Gerald, E., Smith, C. M., N. Zoe Hilton, Radatz, D. L., Lee, J., Ham, E., &amp; Snow, N. (2024). A scoping review of policing and coercive control in lesbian, gay, bisexual, transgender, and queer plus intimate relationships. ''Sociology Compass'', ''18''(7). &lt;nowiki&gt;https://doi.org/10.1111/soc4.13239&lt;/nowiki&gt;

Kassing, K., &amp; Collins, A. (2025). “Slowly, Over Time, You Completely Lose Yourself”: Conceptualizing Coercive Control Trauma in Intimate Partner Relationships. ''Journal of Interpersonal Violence''. &lt;nowiki&gt;https://doi.org/10.1177/08862605251320998&lt;/nowiki&gt;

Macdonald, J., Willoughby, M., Gartoulla, P., Cotton, E., March, E., Alla, K., &amp; Strawa, C. (2024). Discovering what works for families Australian Government Australian Institute of Family Studies fAIFS What the research evidence tells us about coercive control victimisation. &lt;nowiki&gt;https://aifs.gov.au/sites/default/files/2024-02/2311_CFCA_Coercive-control-victimisation.pdf&lt;/nowiki&gt;

Maloney, M. A., Eckhardt, C. I., &amp; Oesterle, D. W. (2023). Emotion regulation and intimate partner violence perpetration: A meta-analysis. ''Clinical Psychology Review'', ''100'', 102238. &lt;nowiki&gt;https://doi.org/10.1016/j.cpr.2022.102238&lt;/nowiki&gt;

Mathews, B., Hegarty, K. L., MacMillan, H. L., Madzoska, M., Erskine, H. E., Pacella, R., Scott, J. G., Thomas, H., Franziska Meinck, Higgins, D., Lawrence, D. M., Haslam, D., Roetman, S., Malacova, E., &amp; Cubitt, T. (2025). The prevalence of intimate partner violence in Australia: a national survey. The Medical Journal of Australia, 222(9). &lt;nowiki&gt;https://doi.org/10.5694/mja2.52660&lt;/nowiki&gt;

Mayeda, D. T., Cho, S. R., &amp; Vijaykumar, R. (2019). Honor-based violence and coercive control among Asian youth in Auckland, New Zealand. ''Asian Journal of Women’s Studies'', ''25''(2), 159–179. &lt;nowiki&gt;https://doi.org/10.1080/12259276.2019.1611010&lt;/nowiki&gt;

Myhill, Andy (2015-03-01). &quot;Measuring Coercive Control: What Can We Learn From National Population Surveys?&quot;. ''Violence Against Women 21 (3):'' 355–375. doi:10.1177/1077801214568032

Neilson, E. C., Gulati, N. K., Stappenbeck, C. A., George, W. H., &amp; Davis, K. C. (2021). Emotion Regulation and Intimate Partner Violence Perpetration in Undergraduate Samples: A Review of the Literature. Trauma, Violence, &amp; Abuse, 24(2), 152483802110360. &lt;nowiki&gt;https://doi.org/10.1177/15248380211036063&lt;/nowiki&gt;

O’Brien, W., &amp; Maras, M.-H. (2024). Technology-facilitated coercive control: response, redress, risk, and reform. ''International Review of Law, Computers &amp; Technology'', ''38''(2), 1–21. &lt;nowiki&gt;https://doi.org/10.1080/13600869.2023.2295097&lt;/nowiki&gt;

Rakovec-Felser, Z. (2014). Domestic Violence and Abuse in Intimate Relationship from Public Health Perspective. ''Health Psychology Research'', ''2''(3), 62–67. &lt;nowiki&gt;https://doi.org/10.4081/hpr.2014.1821&lt;/nowiki&gt;

Simic, Z. (2025). Seeing the signs: thinking historically about coercive control. Women’s History Review, 1–24. &lt;nowiki&gt;https://doi.org/10.1080/09612025.2025.2530251&lt;/nowiki&gt;

Stubbs, A., &amp; Szoeke, C. (2022). The effect of intimate partner violence on the physical health and health-related behaviors of women: A systematic review of the literature. ''Trauma, Violence, &amp; Abuse'', ''23''(4), 1157–1172. &lt;nowiki&gt;https://doi.org/10.1177/1524838020985541&lt;/nowiki&gt;

Walklate, S., &amp; Fitz-Gibbon, K. (2019). The Criminalisation of Coercive Control: The Power of Law? International Journal for Crime, Justice and Social Democracy, 8(4), 94–108. https://doi.org/10.5204/ijcjsd.v8i4.1205

‌
World Health Organization. (2024, March 25). ''Violence against Women''. World Health Organization. &lt;nowiki&gt;https://www.who.int/news-room/fact-sheets/detail/violence-against-women&lt;/nowiki&gt;

}}

== External links ==
If you would like further information, contact these service providers:
* 1800Respect - https://1800respect.org.au/violence-and-abuse/domestic-and-family-violence
* National Domestic Violence Helpline - https://www.thehotline.org/
* Rainbow Sexual, Domestic and Family Violence Helpline - https://fullstop.org.au/get-help/our-services/rainbowviolenceandabusesupport
* World Health Organization - https://www.who.int/news-room/fact-sheets/detail/violence-against-women

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== Overview ==
{{RoundBoxTop|theme=6}}
[[File:5e2364ff-5909-4dbb-9935-58e3b8a6beec.png|thumb|'''Figure 1:''' Coercive control is an ongoing pattern of behaviour used to dominate another. ]]
'''Consider this scenario'''

Suzie began dating Daniel 18 months ago. At first, Daniel was attentive, but over time he became controlling. He questioned her clothes, her friendships, and the amount of time she spent alone. He expressed his concern as care. In response, Suzie distanced herself from friends and family to avoid conflict. Daniel began to check her phone and track her location. Daniel never inflicted physical harm on Suzie. However, his emotional manipulation and constant surveillance evoked fear and anxiety. Suzie worried about Daniel's behaviour if she were to leave, but she no longer trusted her own judgement. Suzie’s experience reflects coercive control, characterised by domination through emotional manipulation and surveillance (see Figure 1).
{{RoundBoxBottom}}

This chapter examines coercive control within the broader context of intimate partner violence. It explores the key psychological theories and the effects on victims and what motivates perpetrators. [[w:Coercive_control|Coercive control]] is a form of behaviour that seeks to dominate and oppress another person. It often happens in intimate or domestic relationships (Mathews et al., 2025). It involves a range of tactics, including [[wikipedia:Manipulation_(psychology)|manipulation]], surveillance, and threats. Behaviours include [[wikipedia:Humiliation|humiliation]], economic restriction, and [[wikipedia:Social_isolation|social isolation]] (Stubbs et al., 2021). Coercive control is often difficult for victims and bystanders to recognise (Kassing &amp; Collins, 2025).  

{{RoundBoxTop|theme=6}}
;Focus questions
# What is coercive control?
# What are some of the behaviours commonly used to exert coercive control?
# What relationship dynamics does coercive control occur in?
# What are the psychological impacts of coercive control on victims?
# What are the psychological motivations behind perpetrators of coercive control?
{{RoundBoxBottom}}

== Understanding intimate partner violence and coercive control ==
[[w:Intimate_partner_violence|Intimate partner violence]] (IPV) and coercive control are significant public health concerns, associated with long-term health consequences for victims and survivors (Brandt &amp; Rudden, 2020). This section examines IPV and coercive control, focusing on their dynamics, the behaviours involved, and the experiences of victims.

=== What is intimate partner violence? ===
Intimate partner violence (IPV) is when a current or former partner causes intentional harm. This harm can be physical, sexual, or psychological. Behaviours can include aggression, coercion, [[wikipedia:Psychological_abuse|emotional]] and [[wikipedia:Verbal_aggression|verbal abuse]] (Mathews et al., 2025). IPV affects women in greater numbers, and it is the leading cause of [[wikipedia:Femicide|femicide]] (Stubbs et al., 2021). Worldwide, one in three women experiences physical or sexual violence from a partner (World Health Organization, 2024). 

IPV has serious effects beyond immediate injuries. It can lead to [[wikipedia:Mental_health|mental health]] issues, [[wikipedia:Substance_abuse|substance abuse]], and [[wikipedia:Suicide|suicidal behaviour]]. It can cause long-term health issues like [[wikipedia:Diabetes|diabetes]], [[wikipedia:Hypertension|hypertension]], and [[wikipedia:Chronic_pain|chronic pain]] (Stubbs et al., 2021). IPV affects children both directly and indirectly, through exposure in their homes (Dichter et al., 2018). The resulting emotional, behavioural, and physical impacts can persist into adulthood. IPV can potentially create a cycle of harm that spans across generations (Stubbs et al., 2021).

=== '''What is coercive control?''' ===
[[File:ChatGPT Image Aug 28, 2025 at 11 06 08 AM.png|thumb|300x300px|'''Figure 2''': Coercive control is a pattern of ongoing behaviours that aim to entrap and dominate the victim.]]

[[wikipedia:Controlling_behavior_in_relationships|Coercive control]] is a repeated pattern of actions that dominate and intimidate (Brandt &amp; Rudden, 2020). Abusers exert control by isolating their victims, gradually undermining their autonomy through domination of everyday life (see Figure 2). This is a pattern referred to as “intimate terrorism&quot; (Dichter et al., 2018). Research shows that women are more affected, and most identified perpetrators are men (Simic, 2025). Coercive control extends beyond romantic relationships. It can happen in families, impacting children (Dichter et al., 2018). 

Feminist scholars first identified coercive control in the 1970s and 1980s. They described how abusers made victims feel like hostages in their own homes (Dobash &amp; Dobash, 1979, as cited in Kassing &amp; Collins, 2025). Sociologist [[wikipedia:Evan_Stark|Evan Stark’s]] research highlighted the prevalence of controlling behaviours within intimate partner relationships. He noted that even without physical violence, it can still be a form of abuse (Simic, 2025). Coercive control can extend after the relationship ends, with ngoing threats or intimidation maintain fear and control over the victim's life (Brandt &amp; Rudden, 2020).  

Coercive control is now criminalised in many places around the world (Simic, 2025). Coercive control was criminalised in England and Wales in 2015, in Scotland in 2019, and in Ireland in 2019 (Walklate &amp; Fitz-Gibbon, 2019). In Australia, New South Wales criminalised coercive control from July, 2024, and Queensland followed with laws taking effect from May, 2025 (Walklate &amp; Fitz-Gibbon, 2019). Other regions, such as Tasmania, enacted related emotional and economic abuse offences in 2004 (Walklate &amp; Fitz-Gibbon, 2019) {{ic|Target an international audience; Australia represents 0.3% of the human population}}.

=== '''Behaviours of coercive control''' ===
The signs of coercive control are often complex, subtle, and less visible than those of physical abuse. Unlike physical violence, coercive control leaves no bruises or injuries (Brandt &amp; Rudden, 2020). These behaviours are often concealed within everyday interactions, framed as expressions of care or concern (Lohmann et al., 2024). Consequently, acts of coercive control frequently go unnoticed or may not be recognised as abusive by family, friends, or  the victim (Kassing &amp; Collins, 2025). Coercive control behaviours are not always illegal, however, they are often tailored to avoid detection, as seen in Table 1 (Lohmann et al., 2024):

'''Table 1.''' Behaviours that can be used in coercive control.
{| class=&quot;wikitable&quot; style=&quot;margin: auto;&quot;
|-
! Type of behaviour                         !!Behaviours presentation
|-
| Controlling behaviours || Controlling an individual's everyday life, this can include dictating what they wear, eat, who they see, and where they go.                                                                                                                       
|-
| Isolation ||Restricting an individual’s ability to leave the home to attend work, social events, or other activities.
|-
|Monitoring &amp; surveillance
|Constantly monitoring a person's whereabouts, all communication, or activities.
|-
|Financial abuse
|Limiting an individual’s access to money or financial resources.
|-
|Threats and intimidation tactics
|Using threats of violence, harm against the individual, their loved ones (including children and pets), or  belongings to evoke fear and/or maintain control.
|-
|Manipulating and gaslighting
|Undermining the victim’s sense of reality, making them doubt their perceptions or memories.
|-
|Emotional abuse
|Repetitive belittling, humiliation, or criticism damaging their self-esteem. 
|-
|Sexual coercion
|Pressuring or forcing another into sexual acts without their consent.
|}

== Coercive control in different intimate partner dynamics ==
Coercive control often gets attention in heterosexual relationships. However, it also happens in LGBTQIA+ relationships and to people with disabilities. This section examines different contexts and demonstrates how coercive control manifests in each.

=== LGBTQIA+ relationships and coercive control ===
[[File:Arguing LGBT couple.png|thumb|'''Figure 3''': Identity abuse involves manipulating someone by exploiting their personal identity.|220x220px]]

Coercive control also occurs in [[wikipedia:LGBTQ_people|LGBTQIA+]] relationships, with prevalence comparable to that in heterosexual relationships (Hilton et al., 2024). In these contexts, abuse often takes unique forms known as identity-based abuse (see Figure 3). Perpetrators target a partner’s sexual or gender identity through tactics such as [[wikipedia:Outing|outing]], misgendering, or restricting access to [[wikipedia:Transgender_health_care|gender-affirming]] care (Jennings-FitzGerald et al., 2024; Hilton et al., 2024).

Research indicates that [[wikipedia:Bisexuality|bisexual]] and [[wikipedia:Transgender|transgender]] individuals experience higher rates of IPV. When compounded by societal [[wikipedia:Homophobia|homophobia]] and [[wikipedia:Transphobia|transphobia]], intensifies harm and creates additional barriers to seeking support (MacDonald et al., 2024). LGBTQIA+ survivors also face distinct obstacles to safety. They may fear discrimination from support services, encounter limited availability of affirming resources, and encounter community stigma. These barriers can reinforce cycles of silence and marginalisation (MacDonald et al., 2024). 

=== '''Individuals with a disability and coercive control''' ===
[[File:Woman with disability.png|left|thumb|220x220px|'''Figure 4''': Women with disabilities are at risk of additional forms of abuse. ]]

Individuals with disabilities face a significantly higher risk of coercive control (Healy, 2013). Research shows that about one in three women with disabilities has experienced abuse from an intimate partner (Brownridge, 2006, as cited in Healy, 2013). Individuals with disabilities may experience specific forms of abuse, such as being denied or forced to take medication, having access to disability-related supports restricted, or expereince [[wikipedia:Reproductive_coercion|reproductive coercion]] (see Figure 4) (Dowse et al, 2013 as cited in Healy, 2013).  

Perpetrators can exploit individuals with disabilities dependence on caregivers and support services to maintain control (Healy, 2013). Access to safety resources is often limited by physical barriers and a shortage of specialised support services (Healy, 2013). Abuse of individuals with a disability tends to be more frequent.  The abuse occurs in diverse settings, including institutions and residential homes (Frohmader &amp; Cadwallader, 2014, as cited in Healy, 2013). 

{{Robelbox|left|alt=|theme=6|title=Learning Checkpoint 1|icon=Emblem-question-yellow.svg|iconwidth=48px}}&lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
&lt;quiz display=simple&gt; 
Controlling someone’s access to money is a type of financial coercive control::
|type=&quot;(+)&quot;}
+ True
- False

{Victims of coercive control often recognise the abuse immediately:
|type=&quot;(-)&quot;}
- True
+ False

{Coercive control does not occur exclusively in heterosexual relationships:
|type=&quot;(-)&quot;}
+ True
- False

&lt;/quiz&gt; 
&lt;/div&gt;
{{Robelbox/close}}

== Psychological impact on victims/survivors ==
A common stigma for victims of IPV, especially coercive control, is the question: ''“Why don’t they leave?&quot;.'' However, leaving a coercively controlling relationship can be extremely difficult. This section examines the psychological impacts of coercive control on victims.

=== Complex post traumatic stress disorder ===
[[File:Distressed women.png|thumb|270x270px|'''Figure 5:''' Victims of coercive control can suffer from CPTSD. ]]

Victims of coercive control often experience [[w:Trauma|trauma]]. Trauma can be understood as an individual’s psychosocial response to violence. Survivors of coercive control often experience prolonged terror (Lohmann, 2024). This can lead to [[w:Complex_post-traumatic_stress_disorder|complex post-traumatic stress disorder]] (CPTSD) (see Figure 5) (Pill et al., 2017, as cited in Lohmann, 2024). CPTSD differs from [[w:Post-traumatic_stress_disorder|post-traumatic stress disorder]] (PTSD). PTSD commonly arises after a single traumatic event or a brief period of trauma. It is characterised by symptoms such as re-experiencing the trauma, avoidance, and hyperarousal (Hulley et al., 2022). CPTSD encompasses additional difficulties, including challenges in emotional regulation, a negative self-concept, and ongoing relational disturbances (Lohmann, 2024). 

Research by Kennedy et al. (2018, as cited in Lohmann, 2024) indicates that the risk of developing CPTSD among victims of coercive control is particularly high. A meta-analysis of 45 studies on psychological abuse linked to coercive control found a significant, moderate positive relationship with CPTSD (Lohmann, 2024). This highlights the urgent need for trauma-informed psychological help designed for the unique consequences of coercive control.

=== Learned helplessness ===
[[File:Couple arguing.png|left|thumb|280x280px|'''Figure 6:''' The cycle of coercive control can leave individuals feeling helpless and trapped.]]

Victims of coercive control often develop learned helplessness and experience [[wikipedia:Self-esteem#Low|low self-esteem]] due to prolonged abuse (Aguilar &amp; Nightingale, 1994, as cited in Iftikhar et al., 2025). Learned helplessness is a psychological state where individuals feel unable to change their circumstances (see Figure 6). In the context of coercive control, this happens as perpetrators systematically undermine the autonomy of victims (Iftikhar et al., 2025). As feelings of helplessness increase, victims’ self-esteem typically declines (Jones et al., as cited in Iftikhar et al., 2025).

Dutton’s Learning Model (1993) shows that when victims can't stop the violence or change the abuser, they often accept the situation and stay. This reinforces feelings of helplessness and entrapment (Iftikhar et al., 2025). The cyclical nature of coercive control is marked by alternating tension, violence, and “honeymoon phases”. This pattern strengthens emotional bonds to the abuser and deepens the sense of being trapped (Iftikhar et al., 2025). Over time, victims internalise blame for the abuse. This psychological entrapment highlights the powerful barriers that keep victims bound to abusive dynamics.

{{RoundBoxTop|theme=6}}[[File:Women in despair.png|thumb|'''Figure 7:''' Learned helplessness develops over time as individuals self-esteem decreases. ]]

'''Case Study 2'''

Sarah, a 32-year-old woman, has been in a relationship with Mark for seven years. Mark dictates her social interactions, finances, and daily routines. Whenever Sarah tries to assert independence or challenge Mark's decisions, he belittles her. Gradually, Sarah has internalised the belief that nothing she does could change her situation (see Figure 7). She has stopped making decisions for herself and has become increasingly passive. When friends offer support or encourage her to leave, Sarah doubts her ability to cope alone. Sarah's psychological state illustrates the intersection of coercive control and learned helplessness. This case study highlights the profound impacts of sustained emotional abuse that can occur with coercive control.

{{RoundBoxBottom}}

=== '''Feminist theory''' ===
[[File:Frustrated working woman.png|left|thumb|'''Figure 8:''' Feminist theory suggests that systemic power imbalances in society often restrict women’s opportunities and influence.]]

Feminist theory views coercive control as part of the broader issue of systemic gender inequality, which is embedded within social structures (Brown, 1991, as cited in Kassing &amp; Collins, 2025). It frames coercive control not as mere personal conflict, but as stemming from larger power imbalances. In these imbalances, men have historically held more authority in relationships. At the same time, women occupy less powerful positions (Anderson, 2009, as cited in Kassing  &amp; Collins, 2025). Cultural expectations of masculinity reinforce men’s dominance. It limits women’s autonomy, both within the home and in broader society (Herman, 2015, as cited in Rakovec-Felser, 2014).  

Feminist theory highlights that male power in families is maintained through control of women, children, and other members (Herman, 2015, as cited in Kassing &amp; Collins, 2025). This creates an environment where abuse and coercion are normalised, and behaviours are perpetuated across generations (Rakovec-Felser, 2014). This can foster conditions in which coercive control and IPV frequently occur (Herman, 2015, as cited in Kassing &amp; Collins, 2025). Consequently, feminist theory conceptualises coercive control as a strategy for maintaining male dominance, restricting women’s freedom, and reinforcing unequal gender roles.

== Psychological drivers of perpetrators ==
Several psychological theories attempt to explain why certain perpetrators use coercive control in intimate relationships. In this section, we will focus on three: Social learning theory, attachment theory, and emotion regulation. 

=== '''Social learning theory''' ===
[[File:Boy and dad.png|left|thumb|'''Figure 9:''' Social Learning Theory suggests that behaviour is learned through observing and imitating others.]]

[[wikipedia:Social_learning_theory|Social learning theory]] explains how perpetrators acquire coercive and controlling behaviours. It highlights the role of observation in developing these behaviours (Bandura, 1977, as cited in Copp et al., 2020). Social learning theory posits that perpetrators learn coercive and controlling behaviours through observing and imitating others (see Figure 8). Parents and family members are significant role models who strongly influence children's behaviours (Copp et al., 2020). Children who see domestic violence are more likely to show aggressive or controlling behaviour in future relationships (Bandura, 1977, as cited in Copp et al., 2020). This exposure contributes to the intergenerational transmission of violent behaviours. 

Additionally, individuals who have experienced abuse can develop distorted beliefs about power and control. Dominance through fear and aggression can be internalised as acceptable forms of social interaction (Lichter &amp; McCloskey, 2004, as cited in Copp et al., 2020). This is reinforced if the actions appear to be rewarded to go unpunished (Copp et al., 2020). This learning pathway shows how patterns of coercive control continue in families. It helps explain the cycle of abuse that can last for generations.

=== Attachment theory ===
[[wikipedia:Attachment_theory|Attachment theory]] examines the bond between children and their caregivers. This bond plays a significant role in shaping self-concept and future relationship patterns (Bowlby, 1969/1982, as cited in Dichter et al., 2018). Research shows that insecure attachment styles, especially anxious and fearful avoidant, are more common in male perpetrators of coercive control (Mikulincer &amp; Shaver, 2016, as cited in Arseneault et al., 2023).

Anxiously attached individuals often fear abandonment, seek excessive reassurance, and are highly sensitive to rejection. They may appear dependent or clingy and frequently struggle to regulate intense emotions (Mikulincer &amp; Shaver, 2016, as cited in Arseneault et al., 2023). In coercive relationships, fears can manifest as controlling behaviours. This includes constant monitoring or limiting a partner’s social contacts (Spencer et al., 2021, as cited in Arseneault et al., 2023)

By contrast, those with fearful-avoidant attachment value independence, often avoiding intimacy and suppressing their emotions (Allison, 2008, as cited in Arseneault et al., 2023). These perpetrators may switch between being withdrawn to aggressive. These behaviours do not foster genuine connection; rather they serve as unhealthy ways to lower anxiety, avoid humiliation, and assert control (Bonache et al., 2019, as cited in Arseneault et al., 2023).

{{RoundBoxTop|theme=6}}[[File:Man accusing partner.png|thumb|'''Figure 10:''' Childhood attachment shapes self-concept and influences future relationship patterns.]] '''Case Study 3:'''

Growing up, John frequently witnessed his father being abusive toward his mother. The violence often escalated when his father had been drinking. This trauma resulted in his parents being emotionally unavailable. John developed an anxious-attachment style, characterised by hypervigilance in his close relationships. John’s unresolved childhood trauma manifests in controlling behaviours (see Figure 10). He scrutinises his partner Sam's daily movements and he accuses Sam of being unfaithful. These behaviours are driven by a fear-based need to maintain proximity and control. It is an unconscious strategy to prevent John’s perceived threat of abandonment.
{{RoundBoxBottom}}

=== Emotional regulation ===
[[File:Black Man Talking Angry on the Phone Cartoon Vector Cartoon Vector.svg|thumb|right|'''Figure 11:''' Difficulties regulating strong negative emotions may result in the use of coercive behaviours.|left]]

Perpetrators of coercive control often struggle to manage their emotions. This difficulty can contribute to them using controlling behaviours. A meta-analysis showed that struggles with negative emotions like anger, fear, and anxiety raise the chances of impulsive and harmful reactions (see Figure 11) (Gross, 1998, as cited in Maloney et al., 2023). The study found that perpetrators may use coercive tactics as maladaptive strategies to regain perceived control. Perpetrators often show traits like poor anger control, alexithymia, and impulsivity (Maloney et al., 2023). These traits can hinder a perpetrator’s ability to manage their distress effectively (Gratz &amp; Roemer, 2004, as cited in Maloney et al., 2023). 

Theoretical models consider emotion dysregulation an “impelling factor&quot; that increases the likelihood of aggression in perpetrators when provoked (Birkley &amp; Eckhardt, 2015, as cited in Maloney et al., 2023). In contrast, effective emotion regulation skills can inhibit such behaviour. For example, a perpetrator might interpret a partner’s late arrival as rejection. Lacking emotional regulation, they may respond by monitoring their partner's movements. Such behaviour will help them to moderate their feelings of vulnerability (Maloney et al., 2023).

{{Robelbox|left|alt=|theme=6|title=Learning Checkpoint 2|icon=Emblem-question-yellow.svg|iconwidth=48px}}&lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
&lt;quiz display=simple&gt; 
Victims / survivors of coercive can experience CPTSD:
|type=&quot;(+)&quot;}
+ True
- False

{Victim / survivors always blame the perpetrators for the abuse they endure:
|type=&quot;(-)&quot;}
- True
+ False

{Perpetrators of coercive control can struggle with negative emotions like anger, fear, and anxiety:
|type=&quot;(+)&quot;}
+ True
- False

&lt;/quiz&gt; 
&lt;/div&gt;
{{Robelbox/close}}

== Conclusion ==
This chapter explored how IPV is defined as abuse that includes physical, sexual, and psychological harm, occurring in intimate relationships (Mathews et al., 2025). Coercive control is understood as a repeated pattern of dominating and intimidating behaviours. Coercive control includes actions such as isolation, surveillance and economic restriction (Lohmann et al., 2024). Understanding these dynamics is vital for recognising forms of abuse that extend beyond physical violence (Brandt &amp; Rudden, 2020). Legal systems in many countries have now moved towards criminalising coercive control (Simic, 2025).

The chapter explored how coercive control manifests in diverse relationship contexts. These include heterosexual, LGBTQIA+, and relationships involving individuals with disabilities (Jennings-FitzGerald et al., 2024; MacDonald et al., 2024). This diversity underlines the pervasive nature of coercion. Relationship dynamics have distinct challenges faced by different victim/ survivors.

Experiencing coercive control has profound psychological consequences. These include CPTSD, learned helplessness, and diminished self-esteem (Lohmann, 2024; Iftikhar et al., 2025). These effects help explain why many survivors struggle to leave abusive relationships. Such trauma responses and emotional dependencies create significant barriers to escape (Iftikhar et al., 2025).  

Psychological models, such as social learning theory, attachment theory, and emotion regulation, provide valuable insights into perpetrators {{g}} behaviours. They help explain the underlying motivations behind their actions. They explore patterns of learned behaviour, attachment insecurities, and emotional dysregulation that perpetuate abusive behaviours (Copp et al., 2020; Arseneault et al., 2023; Maloney et al., 2023). 

This chapter highlighted the need for trauma-informed approaches in supporting victims and survivors. Victims and survivors need ongoing support after the relationship ends to rebuild their sense of safety, autonomy, and well-being. The effects of abuse often persist long after the relationship is over (Lohmann, 2024). Increased awareness and coordinated intervention strategies are essential to disrupting cycles of abuse. 

==See also==
* [[wikipedia:Domestic_violence|Domestic violence]] (Wikipedia)
* [[wikipedia:Domestic_violence_against_men|Domestic violence against men]] (Wikipedia)
* [[Motivation and emotion/Book/2015/Domestic violence and emotion regulation in children|Domestic violence and emotion regulation in children]] (Book chapter, 2015)
* [[Motivation and emotion/Book/2021/Domestic violence motivation|Domestic violence motivation]] (Book chapter, 2021)

* [[wikipedia:Intimate_partner_violence|Intimate partner violence]] (Wikipedia)
* [[Motivation and emotion/Book/2015/Leaving violent relationship motivation for women|Leaving violent relationship motivation for women]]

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{{Hanging indent|1=

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Walklate, S., &amp; Fitz-Gibbon, K. (2019). The Criminalisation of Coercive Control: The Power of Law? International Journal for Crime, Justice and Social Democracy, 8(4), 94–108. https://doi.org/10.5204/ijcjsd.v8i4.1205

‌
World Health Organization. (2024, March 25). ''Violence against Women''. World Health Organization. &lt;nowiki&gt;https://www.who.int/news-room/fact-sheets/detail/violence-against-women&lt;/nowiki&gt;

}}

== External links ==
If you would like further information, contact these service providers:
* 1800Respect - https://1800respect.org.au/violence-and-abuse/domestic-and-family-violence
* National Domestic Violence Helpline - https://www.thehotline.org/
* Rainbow Sexual, Domestic and Family Violence Helpline - https://fullstop.org.au/get-help/our-services/rainbowviolenceandabusesupport
* World Health Organization - https://www.who.int/news-room/fact-sheets/detail/violence-against-women

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      <text bytes="33027" sha1="i98isbkw3ybmrduxooq2w2x7j1hnafu" xml:space="preserve">{{title|Coercive control in intimate partner violence:&lt;br&gt;What role does coercive control play in intimate partner violence?}}

== Overview ==
{{RoundBoxTop|theme=6}}
[[File:5e2364ff-5909-4dbb-9935-58e3b8a6beec.png|thumb|'''Figure 1:''' Coercive control is an ongoing pattern of behaviour used to dominate another. ]]
'''Consider this scenario'''

Suzie began dating Daniel 18 months ago. At first, Daniel was attentive, but over time he became controlling. He questioned her clothes, her friendships, and the amount of time she spent alone. He expressed his concern as care. In response, Suzie distanced herself from friends and family to avoid conflict. Daniel began to check her phone and track her location. Daniel never inflicted physical harm on Suzie. However, his emotional manipulation and constant surveillance evoked fear and anxiety. Suzie worried about Daniel's behaviour if she were to leave, but she no longer trusted her own judgement. Suzie’s experience reflects coercive control, characterised by domination through emotional manipulation and surveillance (see Figure 1).
{{RoundBoxBottom}}

This chapter examines coercive control within the broader context of intimate partner violence. It explores the key psychological theories and the effects on victims and what motivates perpetrators. [[w:Coercive_control|Coercive control]] is a form of behaviour that seeks to dominate and oppress another person. It often happens in intimate or domestic relationships (Mathews et al., 2025). It involves a range of tactics, including [[wikipedia:Manipulation_(psychology)|manipulation]], surveillance, and threats. Behaviours include [[wikipedia:Humiliation|humiliation]], economic restriction, and [[wikipedia:Social_isolation|social isolation]] (Stubbs et al., 2021). Coercive control is often difficult for victims and bystanders to recognise (Kassing &amp; Collins, 2025).  

{{RoundBoxTop|theme=6}}
;Focus questions
# What is coercive control?
# What are some of the behaviours commonly used to exert coercive control?
# What relationship dynamics does coercive control occur in?
# What are the psychological impacts of coercive control on victims?
# What are the psychological motivations behind perpetrators of coercive control?
{{RoundBoxBottom}}

== Understanding intimate partner violence and coercive control ==
[[w:Intimate_partner_violence|Intimate partner violence]] (IPV) and coercive control are significant public health concerns, associated with long-term health consequences for victims and survivors (Brandt &amp; Rudden, 2020). This section examines IPV and coercive control, focusing on their dynamics, the behaviours involved, and the experiences of victims.

=== What is intimate partner violence? ===
Intimate partner violence (IPV) is when a current or former partner causes intentional harm. This harm can be physical, sexual, or psychological. Behaviours can include aggression, coercion, [[wikipedia:Psychological_abuse|emotional]] and [[wikipedia:Verbal_aggression|verbal abuse]] (Mathews et al., 2025). IPV affects women in greater numbers, and it is the leading cause of [[wikipedia:Femicide|femicide]] (Stubbs et al., 2021). Worldwide, one in three women experiences physical or sexual violence from a partner (World Health Organization, 2024). 

IPV has serious effects beyond immediate injuries. It can lead to [[wikipedia:Mental_health|mental health]] issues, [[wikipedia:Substance_abuse|substance abuse]], and [[wikipedia:Suicide|suicidal behaviour]]. It can cause long-term health issues like [[wikipedia:Diabetes|diabetes]], [[wikipedia:Hypertension|hypertension]], and [[wikipedia:Chronic_pain|chronic pain]] (Stubbs et al., 2021). IPV affects children both directly and indirectly, through exposure in their homes (Dichter et al., 2018). The resulting emotional, behavioural, and physical impacts can persist into adulthood. IPV can potentially create a cycle of harm that spans across generations (Stubbs et al., 2021).

=== '''What is coercive control?''' ===
[[File:ChatGPT Image Aug 28, 2025 at 11 06 08 AM.png|thumb|300x300px|'''Figure 2''': Coercive control is a pattern of ongoing behaviours that aim to entrap and dominate the victim.]]

[[wikipedia:Controlling_behavior_in_relationships|Coercive control]] is a repeated pattern of actions that dominate and intimidate (Brandt &amp; Rudden, 2020). Abusers exert control by isolating their victims, gradually undermining their autonomy through domination of everyday life (see Figure 2). This is a pattern referred to as “intimate terrorism&quot; (Dichter et al., 2018). Research shows that women are more affected, and most identified perpetrators are men (Simic, 2025). Coercive control extends beyond romantic relationships. It can happen in families, impacting children (Dichter et al., 2018). 

Feminist scholars first identified coercive control in the 1970s and 1980s. They described how abusers made victims feel like hostages in their own homes (Dobash &amp; Dobash, 1979, as cited in Kassing &amp; Collins, 2025). Sociologist [[wikipedia:Evan_Stark|Evan Stark’s]] research highlighted the prevalence of controlling behaviours within intimate partner relationships. He noted that even without physical violence, it can still be a form of abuse (Simic, 2025). Coercive control can extend after the relationship ends, with ngoing threats or intimidation maintain fear and control over the victim's life (Brandt &amp; Rudden, 2020).  

Coercive control is now criminalised in many places around the world (Simic, 2025). Coercive control was criminalised in England and Wales in 2015, in Scotland in 2019, and in Ireland in 2019 (Walklate &amp; Fitz-Gibbon, 2019). In Australia, New South Wales criminalised coercive control from July, 2024, and Queensland followed with laws taking effect from May, 2025 (Walklate &amp; Fitz-Gibbon, 2019). Other regions, such as Tasmania, enacted related emotional and economic abuse offences in 2004 (Walklate &amp; Fitz-Gibbon, 2019) {{ic|Target an international audience; Australia represents 0.3% of the human population}}.

=== '''Behaviours of coercive control''' ===
The signs of coercive control are often complex, subtle, and less visible than those of physical abuse. Unlike physical violence, coercive control leaves no bruises or injuries (Brandt &amp; Rudden, 2020). These behaviours are often concealed within everyday interactions, framed as expressions of care or concern (Lohmann et al., 2024). Consequently, acts of coercive control frequently go unnoticed or may not be recognised as abusive by family, friends, or  the victim (Kassing &amp; Collins, 2025). Coercive control behaviours are not always illegal, however, they are often tailored to avoid detection, as seen in Table 1 (Lohmann et al., 2024):

'''Table 1.''' Behaviours that can be used in coercive control.
{| class=&quot;wikitable&quot; style=&quot;margin: auto;&quot;
|-
! Type of behaviour                         !!Behaviours presentation
|-
| Controlling behaviours || Controlling an individual's everyday life, this can include dictating what they wear, eat, who they see, and where they go.                                                                                                                       
|-
| Isolation ||Restricting an individual’s ability to leave the home to attend work, social events, or other activities.
|-
|Monitoring &amp; surveillance
|Constantly monitoring a person's whereabouts, all communication, or activities.
|-
|Financial abuse
|Limiting an individual’s access to money or financial resources.
|-
|Threats and intimidation tactics
|Using threats of violence, harm against the individual, their loved ones (including children and pets), or  belongings to evoke fear and/or maintain control.
|-
|Manipulating and gaslighting
|Undermining the victim’s sense of reality, making them doubt their perceptions or memories.
|-
|Emotional abuse
|Repetitive belittling, humiliation, or criticism damaging their self-esteem. 
|-
|Sexual coercion
|Pressuring or forcing another into sexual acts without their consent.
|}

== Coercive control in different intimate partner dynamics ==
Coercive control often gets attention in heterosexual relationships. However, it also happens in LGBTQIA+ relationships and to people with disabilities. This section examines different contexts and demonstrates how coercive control manifests in each.

=== LGBTQIA+ relationships and coercive control ===
[[File:Arguing LGBT couple.png|thumb|'''Figure 3''': Identity abuse involves manipulating someone by exploiting their personal identity.|220x220px]]

Coercive control also occurs in [[wikipedia:LGBTQ_people|LGBTQIA+]] relationships, with prevalence comparable to that in heterosexual relationships (Hilton et al., 2024). In these contexts, abuse often takes unique forms known as identity-based abuse (see Figure 3). Perpetrators target a partner’s sexual or gender identity through tactics such as [[wikipedia:Outing|outing]], misgendering, or restricting access to [[wikipedia:Transgender_health_care|gender-affirming]] care (Jennings-FitzGerald et al., 2024; Hilton et al., 2024).

Research indicates that [[wikipedia:Bisexuality|bisexual]] and [[wikipedia:Transgender|transgender]] individuals experience higher rates of IPV. When compounded by societal [[wikipedia:Homophobia|homophobia]] and [[wikipedia:Transphobia|transphobia]], intensifies harm and creates additional barriers to seeking support (MacDonald et al., 2024). LGBTQIA+ survivors also face distinct obstacles to safety. They may fear discrimination from support services, encounter limited availability of affirming resources, and encounter community stigma. These barriers can reinforce cycles of silence and marginalisation (MacDonald et al., 2024). 

=== '''Individuals with a disability and coercive control''' ===
[[File:Woman with disability.png|left|thumb|220x220px|'''Figure 4''': Women with disabilities are at risk of additional forms of abuse. ]]

Individuals with disabilities face a significantly higher risk of coercive control (Healy, 2013). Research shows that about one in three women with disabilities has experienced abuse from an intimate partner (Brownridge, 2006, as cited in Healy, 2013). Individuals with disabilities may experience specific forms of abuse, such as being denied or forced to take medication, having access to disability-related supports restricted, or expereince [[wikipedia:Reproductive_coercion|reproductive coercion]] (see Figure 4) (Dowse et al, 2013 as cited in Healy, 2013).  

Perpetrators can exploit individuals with disabilities dependence on caregivers and support services to maintain control (Healy, 2013). Access to safety resources is often limited by physical barriers and a shortage of specialised support services (Healy, 2013). Abuse of individuals with a disability tends to be more frequent.  The abuse occurs in diverse settings, including institutions and residential homes (Frohmader &amp; Cadwallader, 2014, as cited in Healy, 2013). 

{{Robelbox|left|alt=|theme=6|title=Learning Checkpoint 1|icon=Emblem-question-yellow.svg|iconwidth=48px}}&lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
&lt;quiz display=simple&gt; 
Controlling someone’s access to money is a type of financial coercive control::
|type=&quot;(+)&quot;}
+ True
- False

{Victims of coercive control often recognise the abuse immediately:
|type=&quot;(-)&quot;}
- True
+ False

{Coercive control does not occur exclusively in heterosexual relationships:
|type=&quot;(-)&quot;}
+ True
- False

&lt;/quiz&gt; 
&lt;/div&gt;
{{Robelbox/close}}

== Psychological impact on victims/survivors ==
A common stigma for victims of IPV, especially coercive control, is the question: ''“Why don’t they leave?&quot;.'' However, leaving a coercively controlling relationship can be extremely difficult. This section examines the psychological impacts of coercive control on victims.

=== Complex post traumatic stress disorder ===
[[File:Distressed women.png|thumb|270x270px|'''Figure 5:''' Victims of coercive control can suffer from CPTSD. ]]

Victims of coercive control often experience [[w:Trauma|trauma]]. Trauma can be understood as an individual’s psychosocial response to violence. Survivors of coercive control often experience prolonged terror (Lohmann, 2024). This can lead to [[w:Complex_post-traumatic_stress_disorder|complex post-traumatic stress disorder]] (CPTSD) (see Figure 5) (Pill et al., 2017, as cited in Lohmann, 2024). CPTSD differs from [[w:Post-traumatic_stress_disorder|post-traumatic stress disorder]] (PTSD). PTSD commonly arises after a single traumatic event or a brief period of trauma. It is characterised by symptoms such as re-experiencing the trauma, avoidance, and hyperarousal (Hulley et al., 2022). CPTSD encompasses additional difficulties, including challenges in emotional regulation, a negative self-concept, and ongoing relational disturbances (Lohmann, 2024). 

Research by Kennedy et al. (2018, as cited in Lohmann, 2024) indicates that the risk of developing CPTSD among victims of coercive control is particularly high. A meta-analysis of 45 studies on psychological abuse linked to coercive control found a significant, moderate positive relationship with CPTSD (Lohmann, 2024). This highlights the urgent need for trauma-informed psychological help designed for the unique consequences of coercive control.

=== Learned helplessness ===
[[File:Couple arguing.png|left|thumb|280x280px|'''Figure 6:''' The cycle of coercive control can leave individuals feeling helpless and trapped.]]

Victims of coercive control often develop learned helplessness and experience [[wikipedia:Self-esteem#Low|low self-esteem]] due to prolonged abuse (Aguilar &amp; Nightingale, 1994, as cited in Iftikhar et al., 2025). Learned helplessness is a psychological state where individuals feel unable to change their circumstances (see Figure 6). In the context of coercive control, this happens as perpetrators systematically undermine the autonomy of victims (Iftikhar et al., 2025). As feelings of helplessness increase, victims’ self-esteem typically declines (Jones et al., as cited in Iftikhar et al., 2025).

Dutton’s Learning Model (1993) shows that when victims can't stop the violence or change the abuser, they often accept the situation and stay. This reinforces feelings of helplessness and entrapment (Iftikhar et al., 2025). The cyclical nature of coercive control is marked by alternating tension, violence, and “honeymoon phases”. This pattern strengthens emotional bonds to the abuser and deepens the sense of being trapped (Iftikhar et al., 2025). Over time, victims internalise blame for the abuse. This psychological entrapment highlights the powerful barriers that keep victims bound to abusive dynamics.

{{RoundBoxTop|theme=6}}[[File:Women in despair.png|thumb|'''Figure 7:''' Learned helplessness develops over time as individuals self-esteem decreases. ]]

'''Case Study 2'''

Sarah, a 32-year-old woman, has been in a relationship with Mark for seven years. Mark dictates her social interactions, finances, and daily routines. Whenever Sarah tries to assert independence or challenge Mark's decisions, he belittles her. Gradually, Sarah has internalised the belief that nothing she does could change her situation (see Figure 7). She has stopped making decisions for herself and has become increasingly passive. When friends offer support or encourage her to leave, Sarah doubts her ability to cope alone. Sarah's psychological state illustrates the intersection of coercive control and learned helplessness. This case study highlights the profound impacts of sustained emotional abuse that can occur with coercive control.

{{RoundBoxBottom}}

=== '''Feminist theory''' ===
[[File:Frustrated working woman.png|left|thumb|'''Figure 8:''' Feminist theory suggests that systemic power imbalances in society often restrict women’s opportunities and influence.]]

Feminist theory views coercive control as part of the broader issue of systemic gender inequality, which is embedded within social structures (Brown, 1991, as cited in Kassing &amp; Collins, 2025). It frames coercive control not as mere personal conflict, but as stemming from larger power imbalances. In these imbalances, men have historically held more authority in relationships. At the same time, women occupy less powerful positions (Anderson, 2009, as cited in Kassing  &amp; Collins, 2025). Cultural expectations of masculinity reinforce men’s dominance. It limits women’s autonomy, both within the home and in broader society (Herman, 2015, as cited in Rakovec-Felser, 2014).  

Feminist theory highlights that male power in families is maintained through control of women, children, and other members (Herman, 2015, as cited in Kassing &amp; Collins, 2025). This creates an environment where abuse and coercion are normalised, and behaviours are perpetuated across generations (Rakovec-Felser, 2014). This can foster conditions in which coercive control and IPV frequently occur (Herman, 2015, as cited in Kassing &amp; Collins, 2025). Consequently, feminist theory conceptualises coercive control as a strategy for maintaining male dominance, restricting women’s freedom, and reinforcing unequal gender roles.

== Psychological drivers of perpetrators ==
Several psychological theories attempt to explain why certain perpetrators use coercive control in intimate relationships. In this section, we will focus on three: Social learning theory, attachment theory, and emotion regulation. 

=== '''Social learning theory''' ===
[[File:Boy and dad.png|left|thumb|'''Figure 9:''' Social Learning Theory suggests that behaviour is learned through observing and imitating others.]]

[[wikipedia:Social_learning_theory|Social learning theory]] explains how perpetrators acquire coercive and controlling behaviours. It highlights the role of observation in developing these behaviours (Bandura, 1977, as cited in Copp et al., 2020). Social learning theory posits that perpetrators learn coercive and controlling behaviours through observing and imitating others (see Figure 8). Parents and family members are significant role models who strongly influence children's behaviours (Copp et al., 2020). Children who see domestic violence are more likely to show aggressive or controlling behaviour in future relationships (Bandura, 1977, as cited in Copp et al., 2020). This exposure contributes to the intergenerational transmission of violent behaviours. 

Additionally, individuals who have experienced abuse can develop distorted beliefs about power and control. Dominance through fear and aggression can be internalised as acceptable forms of social interaction (Lichter &amp; McCloskey, 2004, as cited in Copp et al., 2020). This is reinforced if the actions appear to be rewarded to go unpunished (Copp et al., 2020). This learning pathway shows how patterns of coercive control continue in families. It helps explain the cycle of abuse that can last for generations.

=== Attachment theory ===
[[wikipedia:Attachment_theory|Attachment theory]] examines the bond between children and their caregivers. This bond plays a significant role in shaping self-concept and future relationship patterns (Bowlby, 1969/1982, as cited in Dichter et al., 2018). Research shows that insecure attachment styles, especially anxious and fearful avoidant, are more common in male perpetrators of coercive control (Mikulincer &amp; Shaver, 2016, as cited in Arseneault et al., 2023).

Anxiously attached individuals often fear abandonment, seek excessive reassurance, and are highly sensitive to rejection. They may appear dependent or clingy and frequently struggle to regulate intense emotions (Mikulincer &amp; Shaver, 2016, as cited in Arseneault et al., 2023). In coercive relationships, fears can manifest as controlling behaviours. This includes constant monitoring or limiting a partner’s social contacts (Spencer et al., 2021, as cited in Arseneault et al., 2023)

By contrast, those with fearful-avoidant attachment value independence, often avoiding intimacy and suppressing their emotions (Allison, 2008, as cited in Arseneault et al., 2023). These perpetrators may switch between being withdrawn to aggressive. These behaviours do not foster genuine connection; rather they serve as unhealthy ways to lower anxiety, avoid humiliation, and assert control (Bonache et al., 2019, as cited in Arseneault et al., 2023).

{{RoundBoxTop|theme=6}}[[File:Man accusing partner.png|thumb|'''Figure 10:''' Childhood attachment shapes self-concept and influences future relationship patterns.]] '''Case Study 3:'''

Growing up, John frequently witnessed his father being abusive toward his mother. The violence often escalated when his father had been drinking. This trauma resulted in his parents being emotionally unavailable. John developed an anxious-attachment style, characterised by hypervigilance in his close relationships. John’s unresolved childhood trauma manifests in controlling behaviours (see Figure 10). He scrutinises his partner Sam's daily movements and he accuses Sam of being unfaithful. These behaviours are driven by a fear-based need to maintain proximity and control. It is an unconscious strategy to prevent John’s perceived threat of abandonment.
{{RoundBoxBottom}}

=== Emotional regulation ===
[[File:Intercambio Internacional de Poesía entre Japón y España (21537079154).jpg|thumb|right|'''Figure 11:''' Difficulties regulating strong negative emotions may result in the use of coercive behaviours.|left]]

Perpetrators of coercive control often struggle to manage their emotions. This difficulty can contribute to them using controlling behaviours. A meta-analysis showed that struggles with negative emotions like anger, fear, and anxiety raise the chances of impulsive and harmful reactions (see Figure 11) (Gross, 1998, as cited in Maloney et al., 2023). The study found that perpetrators may use coercive tactics as maladaptive strategies to regain perceived control. Perpetrators often show traits like poor anger control, alexithymia, and impulsivity (Maloney et al., 2023). These traits can hinder a perpetrator’s ability to manage their distress effectively (Gratz &amp; Roemer, 2004, as cited in Maloney et al., 2023). 

Theoretical models consider emotion dysregulation an “impelling factor&quot; that increases the likelihood of aggression in perpetrators when provoked (Birkley &amp; Eckhardt, 2015, as cited in Maloney et al., 2023). In contrast, effective emotion regulation skills can inhibit such behaviour. For example, a perpetrator might interpret a partner’s late arrival as rejection. Lacking emotional regulation, they may respond by monitoring their partner's movements. Such behaviour will help them to moderate their feelings of vulnerability (Maloney et al., 2023).

{{Robelbox|left|alt=|theme=6|title=Learning Checkpoint 2|icon=Emblem-question-yellow.svg|iconwidth=48px}}&lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
&lt;quiz display=simple&gt; 
Victims / survivors of coercive can experience CPTSD:
|type=&quot;(+)&quot;}
+ True
- False

{Victim / survivors always blame the perpetrators for the abuse they endure:
|type=&quot;(-)&quot;}
- True
+ False

{Perpetrators of coercive control can struggle with negative emotions like anger, fear, and anxiety:
|type=&quot;(+)&quot;}
+ True
- False

&lt;/quiz&gt; 
&lt;/div&gt;
{{Robelbox/close}}

== Conclusion ==
This chapter explored how IPV is defined as abuse that includes physical, sexual, and psychological harm, occurring in intimate relationships (Mathews et al., 2025). Coercive control is understood as a repeated pattern of dominating and intimidating behaviours. Coercive control includes actions such as isolation, surveillance and economic restriction (Lohmann et al., 2024). Understanding these dynamics is vital for recognising forms of abuse that extend beyond physical violence (Brandt &amp; Rudden, 2020). Legal systems in many countries have now moved towards criminalising coercive control (Simic, 2025).

The chapter explored how coercive control manifests in diverse relationship contexts. These include heterosexual, LGBTQIA+, and relationships involving individuals with disabilities (Jennings-FitzGerald et al., 2024; MacDonald et al., 2024). This diversity underlines the pervasive nature of coercion. Relationship dynamics have distinct challenges faced by different victim/ survivors.

Experiencing coercive control has profound psychological consequences. These include CPTSD, learned helplessness, and diminished self-esteem (Lohmann, 2024; Iftikhar et al., 2025). These effects help explain why many survivors struggle to leave abusive relationships. Such trauma responses and emotional dependencies create significant barriers to escape (Iftikhar et al., 2025).  

Psychological models, such as social learning theory, attachment theory, and emotion regulation, provide valuable insights into perpetrators {{g}} behaviours. They help explain the underlying motivations behind their actions. They explore patterns of learned behaviour, attachment insecurities, and emotional dysregulation that perpetuate abusive behaviours (Copp et al., 2020; Arseneault et al., 2023; Maloney et al., 2023). 

This chapter highlighted the need for trauma-informed approaches in supporting victims and survivors. Victims and survivors need ongoing support after the relationship ends to rebuild their sense of safety, autonomy, and well-being. The effects of abuse often persist long after the relationship is over (Lohmann, 2024). Increased awareness and coordinated intervention strategies are essential to disrupting cycles of abuse. 

==See also==
* [[wikipedia:Domestic_violence|Domestic violence]] (Wikipedia)
* [[wikipedia:Domestic_violence_against_men|Domestic violence against men]] (Wikipedia)
* [[Motivation and emotion/Book/2015/Domestic violence and emotion regulation in children|Domestic violence and emotion regulation in children]] (Book chapter, 2015)
* [[Motivation and emotion/Book/2021/Domestic violence motivation|Domestic violence motivation]] (Book chapter, 2021)

* [[wikipedia:Intimate_partner_violence|Intimate partner violence]] (Wikipedia)
* [[Motivation and emotion/Book/2015/Leaving violent relationship motivation for women|Leaving violent relationship motivation for women]]

== References ==
{{Hanging indent|1=

Arseneault, L., Brassard, A., Lefebvre, A., Lafontaine, M., Godbout, N., Daspe, M., Savard, C., &amp; Péloquin, K. (2023). Romantic attachment and intimate partner violence perpetrated by individuals seeking help: The roles of dysfunctional communication patterns and relationship satisfaction. ''Journal of Family Violence'', ''39''(8), 1557–1568. &lt;nowiki&gt;https://doi.org/10.1007/s10896-023-00600-z&lt;/nowiki&gt;

Brandt, S., &amp; Rudden, M. (2020). A psychoanalytic perspective on victims of domestic violence and coercive control. ''International Journal of Applied Psychoanalytic Studies'', ''17''(3), 215–231. &lt;nowiki&gt;https://doi.org/10.1002/aps.1671&lt;/nowiki&gt;

Copp, J. E., Giordano, P. C., Longmore, M. A., &amp; Manning, W. D. (2016). The
development of Attitudes toward intimate partner Violence: an examination of key correlates among a sample of young adults. Journal of Interpersonal Violence, 34(7), 1357–1387. &lt;nowiki&gt;https://doi.org/10.1177/0886260516651311&lt;/nowiki&gt;

Dichter, M. E., Thomas, K. A., Crits-Christoph, P., Ogden, S. N., &amp; Rhodes, K. V. (2018). Coercive Control in Intimate Partner violence: Relationship with Women’s Experience of violence, Use of violence, and danger. ''Psychology of Violence'', ''8''(5), 596–604. &lt;nowiki&gt;https://doi.org/10.1037/vio0000158&lt;/nowiki&gt;

Healey, L. (2013). ''Voices against violence paper two: Current issues in understanding and responding to violence against women with disabilities. Women with Disabilities Victoria, Office of the Public Advocate, &amp; Domestic Violence Resource Centre Victoria.''&lt;nowiki&gt;https://www.wdv.org.au/our-work/building-the-knowledge/voices-against-violence/&lt;/nowiki&gt;

Iftikhar, K., Hasan. S., Ali Kazmi, S. M. (2025). Learned helplessness and Self-Esteem among Young Female Victims of Intimate Partner Violence. ''International Journal of Social Science Bulletin, 3(7''), 269-279. &lt;nowiki&gt;https://doi.org/10.5281/zenodo.15867692&lt;/nowiki&gt;

Lehmann, P., Simmons, C. A., &amp; Pillai, V. K. (2012). The Validation of the Checklist of Controlling Behaviors (CCB). ''Violence against Women'', ''18''(8), 913–933. &lt;nowiki&gt;https://doi.org/10.1177/1077801212456522&lt;/nowiki&gt;

Lohmann, S., Cowlishaw, S., Ney, L., O’Donnell, M., &amp; Felmingham, K. (2023). The Trauma and Mental Health Impacts of Coercive Control: A Systematic Review and Meta-Analysis. ''Trauma Violence &amp; Abuse'', ''25''(1), 630–647. &lt;nowiki&gt;https://doi.org/10.1177/15248380231162972&lt;/nowiki&gt;

Jennings‐Fitz‐Gerald, E., Smith, C. M., N. Zoe Hilton, Radatz, D. L., Lee, J., Ham, E., &amp; Snow, N. (2024). A scoping review of policing and coercive control in lesbian, gay, bisexual, transgender, and queer plus intimate relationships. ''Sociology Compass'', ''18''(7). &lt;nowiki&gt;https://doi.org/10.1111/soc4.13239&lt;/nowiki&gt;

Kassing, K., &amp; Collins, A. (2025). “Slowly, Over Time, You Completely Lose Yourself”: Conceptualizing Coercive Control Trauma in Intimate Partner Relationships. ''Journal of Interpersonal Violence''. &lt;nowiki&gt;https://doi.org/10.1177/08862605251320998&lt;/nowiki&gt;

Macdonald, J., Willoughby, M., Gartoulla, P., Cotton, E., March, E., Alla, K., &amp; Strawa, C. (2024). Discovering what works for families Australian Government Australian Institute of Family Studies fAIFS What the research evidence tells us about coercive control victimisation. &lt;nowiki&gt;https://aifs.gov.au/sites/default/files/2024-02/2311_CFCA_Coercive-control-victimisation.pdf&lt;/nowiki&gt;

Maloney, M. A., Eckhardt, C. I., &amp; Oesterle, D. W. (2023). Emotion regulation and intimate partner violence perpetration: A meta-analysis. ''Clinical Psychology Review'', ''100'', 102238. &lt;nowiki&gt;https://doi.org/10.1016/j.cpr.2022.102238&lt;/nowiki&gt;

Mathews, B., Hegarty, K. L., MacMillan, H. L., Madzoska, M., Erskine, H. E., Pacella, R., Scott, J. G., Thomas, H., Franziska Meinck, Higgins, D., Lawrence, D. M., Haslam, D., Roetman, S., Malacova, E., &amp; Cubitt, T. (2025). The prevalence of intimate partner violence in Australia: a national survey. The Medical Journal of Australia, 222(9). &lt;nowiki&gt;https://doi.org/10.5694/mja2.52660&lt;/nowiki&gt;

Mayeda, D. T., Cho, S. R., &amp; Vijaykumar, R. (2019). Honor-based violence and coercive control among Asian youth in Auckland, New Zealand. ''Asian Journal of Women’s Studies'', ''25''(2), 159–179. &lt;nowiki&gt;https://doi.org/10.1080/12259276.2019.1611010&lt;/nowiki&gt;

Myhill, Andy (2015-03-01). &quot;Measuring Coercive Control: What Can We Learn From National Population Surveys?&quot;. ''Violence Against Women 21 (3):'' 355–375. doi:10.1177/1077801214568032

Neilson, E. C., Gulati, N. K., Stappenbeck, C. A., George, W. H., &amp; Davis, K. C. (2021). Emotion Regulation and Intimate Partner Violence Perpetration in Undergraduate Samples: A Review of the Literature. Trauma, Violence, &amp; Abuse, 24(2), 152483802110360. &lt;nowiki&gt;https://doi.org/10.1177/15248380211036063&lt;/nowiki&gt;

O’Brien, W., &amp; Maras, M.-H. (2024). Technology-facilitated coercive control: response, redress, risk, and reform. ''International Review of Law, Computers &amp; Technology'', ''38''(2), 1–21. &lt;nowiki&gt;https://doi.org/10.1080/13600869.2023.2295097&lt;/nowiki&gt;

Rakovec-Felser, Z. (2014). Domestic Violence and Abuse in Intimate Relationship from Public Health Perspective. ''Health Psychology Research'', ''2''(3), 62–67. &lt;nowiki&gt;https://doi.org/10.4081/hpr.2014.1821&lt;/nowiki&gt;

Simic, Z. (2025). Seeing the signs: thinking historically about coercive control. Women’s History Review, 1–24. &lt;nowiki&gt;https://doi.org/10.1080/09612025.2025.2530251&lt;/nowiki&gt;

Stubbs, A., &amp; Szoeke, C. (2022). The effect of intimate partner violence on the physical health and health-related behaviors of women: A systematic review of the literature. ''Trauma, Violence, &amp; Abuse'', ''23''(4), 1157–1172. &lt;nowiki&gt;https://doi.org/10.1177/1524838020985541&lt;/nowiki&gt;

Walklate, S., &amp; Fitz-Gibbon, K. (2019). The Criminalisation of Coercive Control: The Power of Law? International Journal for Crime, Justice and Social Democracy, 8(4), 94–108. https://doi.org/10.5204/ijcjsd.v8i4.1205

‌
World Health Organization. (2024, March 25). ''Violence against Women''. World Health Organization. &lt;nowiki&gt;https://www.who.int/news-room/fact-sheets/detail/violence-against-women&lt;/nowiki&gt;

}}

== External links ==
If you would like further information, contact these service providers:
* 1800Respect - https://1800respect.org.au/violence-and-abuse/domestic-and-family-violence
* National Domestic Violence Helpline - https://www.thehotline.org/
* Rainbow Sexual, Domestic and Family Violence Helpline - https://fullstop.org.au/get-help/our-services/rainbowviolenceandabusesupport
* World Health Organization - https://www.who.int/news-room/fact-sheets/detail/violence-against-women

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== Overview ==
{{RoundBoxTop|theme=8}} 
[[File:Doctor with Patient Cartoon.svg|thumb|'''Figure 1'''. A doctor consulting a patient.{{ic|Explain how this relates to spirituality and mental health or the scenario}}]]

;Scenario 

Brenda has advanced [[w:Bone tumor|bone cancer]]. Her doctors told her the [[w:Disease|disease]] had grown too aggressive for her body to fight alone (see Figure 1). Facing endless [[w:Chemotherapy|chemotherapy]], she felt  [[w:Anxiety|anxious]] and uncertain about the future. Hopelessness weighed heavily on her.

To cope, Brenda turned inward to her spirituality. She practised daily [[w:Meditation|meditation]], using body scans to release tension and reconnect with her body. [[w:Prayer|Prayer]] and [[w:Gratitude|gratitude]] became daily [[w:Ritual|rituals]], helping her notice small moments of meaning even amid suffering. These practices brought calm and a sense of control, allowing her to approach each day with steadier [[w:Emotion|emotions]]. She also found [[w:Social support|support]] in a local spiritual group. Sharing fears with others who understood her journey eased her sense of isolation and offered reassurance.

Over time, [[w:Spirituality|spirituality]] reshaped Brenda’s outlook. She shifted focus from her illness to purpose, connection, and [[w:Personal development|personal growth]]. Each meditation, prayer, and shared story helped her find [[w:Peace|peace]] and maintain [[w:Hope|hope]]. In a life filled with uncertainty, these practices became tools to navigate fear, [[w:Psychological resilience|strengthen resilience]], and preserve [[w:Dignity|dignity]]. Spirituality gave Brenda a framework to face [[w:Suffering|suffering]] without losing herself, and to discover meaning beyond the limits of her illness.

{{RoundBoxBottom}}

Spirituality provides people with a [[wikipedia:Meaning_of_life|sense of meaning]], purpose, and connection that goes beyond the material aspects of life. These shape how people see themselves and their role in the [[w:World|world]]. For some, spirituality supports [[wikipedia:Mental_health|mental health]] and emotional [[wikipedia:Well-being|well-being]] by reducing stress and improving emotion control (Verghese, 2008). For others, it can cause distress, especially when they associate their beliefs with feelings of guilt, punishment, or conflict (Koenig, 2012). 

Psychological theories help explain these mixed effects. [[wikipedia:Carl_Rogers|Carl Rogers']] [[wikipedia:Humanistic_psychology|humanistic approach]] shows that self-actualisation is crucial to personal growth and is often linked to spiritual experiences (Rogers, 1980). [[wikipedia:Maslow's_hierarchy_of_needs|Maslow's hierarchy of needs]] reinforces this by placing transcendence and [[Motivation and emotion/Textbook/Motivation/Self-actualisation|self-actualisation]] at the top of human motivation (Maslow, 1970). This illustrates how spirituality can either ease or hinder {{explain}} development. Together, these ideas demonstrate how spirituality can contribute to an individuals{{g}} mental health and emotional well-being (Louca et al., 2022).

{{RoundBoxTop|theme=11}}
; Focus questions

* What is spirituality? 
* How does spirituality promote emotional well-being through mindfulness, compassion, and forgiveness? 
* How do psychological theories explain the contribution of spirituality to mental health and well-being?
* How does current research support incorporating spirituality into the treatment of psychiatric disorders?

{{RoundBoxBottom}}

==What is spirituality? ==
Spirituality includes a variety of personal held [[w:Belief|beliefs]] and [[w:Experience|experiences]] that involve a deep connection to a higher power or something larger than oneself. It includes a variety of beliefs and life experiences that relate to exploration, meaning, and purpose in the world (Verghese, 2008; Louca et al., 2022). 

[[File:Falun Dafa fifth meditation exercise.jpg|thumb|227x227px|Figure 2. Female {{ic|Why does assumed gender matter here?}} practising meditation]]

'''Important facets of spirituality consist of:'''
* ''Connection'': Feeling a connection to the cosmos, [[nature]], other people, a higher power, or even one's inner self is a common aspect of spirituality. This relationship can give rise to a feeling of understanding and [[w:Community|community]] that goes beyond daily existence (Wong, 2016).
* ''Meaning and purpose'': The search for life's meaning and purpose is frequently linked to spirituality{{f}}. It can offer responses to existential questions like &quot;What is my purpose?&quot; and &quot;Why am I here?&quot; This quest for purpose may shape choices, deeds, and a person's life's path in general (Wong, 2016).
* ''Transcendence:'' Experiences that transcend the [[w:Mundane|mundane]] or material world are often associated with spirituality{{f}}. This might include sensations of amazement, or a profound sense of serenity that comes from marvelling at the immensity of the cosmos, meditating, or having meaningful interactions with other people (Wong, 2016).
* ''[[w:Morality|Morality]] and Values:'' A lot of individuals look to their spiritual beliefs for their [[w:Moral|moral]] guidance and values{{f}}. People's perceptions of right and wrong, behaviour, and interactions with people and the outside environment can all be influenced by their spirituality (Vitell et al., 2015).
* ''Personal Development:'' Seeking self-improvement and personal growth is frequently associated with spirituality{{f}}. This might entail pursuing [[w:Knowledge|knowledge]], developing moral qualities like [[w:Forgiveness|forgiveness]] and [[w:Compassion|compassion]], and making an effort to improve oneself (Wong, 2016).
* ''Practices:'' A variety of activities, including [[yoga]] (see Figure 2), meditation, prayer, rituals, and acts of service, can be used to express spirituality{{f}}. 

Through these activities, people can develop a sense of inner strength, balance, and serenity as well as a deeper connection to their spiritual beliefs{{f}}. Spirituality may be found in many different forms and circumstances, both inside and outside of [[w:Religion|religion]]. It's about each person's path to [[w:Self-awareness|self-awareness]], meaning, and connection {{g}} these journeys can frequently result in improved mental, emotional, and even physical health (Verghese, 2008).

== Emotional regulation and spirituality: The role of mindfulness, compassion, and forgiveness ==
Spiritual activities or actions that involve [[mindfulness]], compassion and forgiveness can also offer important psychological advantages. They help people reduce [[Stress (psychological)|stress]], manage negative emotions, and encourage good emotions. [[w:Psychology|Psychology]] [[w:Research|research]] is increasingly recognising the importance of these spiritual activities in fostering mental and emotional well-being (Hofmann et al., 2010).

=== Mindfulness meditation ===
* With its origins in spiritual [[w:Tradition|traditions]] like [[Buddhism/Introduction|Buddhism]], mindfulness meditation has gained widespread recognition as a useful method in [[w:Psychotherapy|psychological therapy]] for [[w: Emotional self-regulation|regulating emotions]]. Being mindful entails focusing on the here and now while adopting an accepting, non-judgmental [[w:Mindset|mindset]]. People can respond to stress in healthier and more adaptable ways by developing this awareness, which makes them more conscious of their thoughts and feelings (Farb et al., 2007).
* An increasing amount of studies demonstrates how much mindfulness practices help with emotional control. Hofmann et al. (2010, conducted a [[w:Meta-analysis|meta-analysis]] of 39 papers to look at the effects of mindfulness-based treatment on [[wikipedia:Depression_(mood)|depression]] and anxiety. The findings showed that mindfulness plays a critical role in assisting people in controlling their negative emotions by dramatically reducing [[w:Signs and symptoms|symptoms]] of both anxiety and sadness.
* [[wikipedia:Functional_magnetic_resonance_imaging|Functional magnetic resonance imaging (fMRI)]] was employed in a study by Farb et al. (2007) to investigate the [[w:Brain|brain]] processes underlying mindfulness. The study discovered that self-referential processing and emotional regulation-related alterations in brain activity were linked to mindfulness training. Individuals who engaged in mindfulness practices demonstrated improved emotional regulation, especially under pressure, and a higher level of awareness of their emotional states.

=== Compassion ===
* Another essential comp{{f}}onent of many spiritual traditions is compassion, which is acknowledging one's own and other people's pain and acting with kindness and a wish to lessen that suffering. Neff and Germer's (2013) study investigated how a [[wikipedia:Self-compassion|self-compassion]] training programme affected participants' emotional health. According to the study, those who practiced self-compassion showed large improvements in life satisfaction along with significant decreases in stress, anxiety, and despair. By treating oneself with the same consideration and understanding that they would provide to a friend, people who practice self-compassion are able to protect themselves from the damaging effects of stress and foster emotional resilience.

=== Forgiveness ===
* Forgiveness, a practice emphasised in many spiritual traditions, involves letting go of [[wikipedia:Anger|anger]], resentment, and the [[w:Desire|desire]] for [[wikipedia:Revenge|revenge]] toward someone who has caused harm{{f}}. Forgiveness is a powerful tool for emotional regulation, as it allows individuals to release negative emotions and move toward emotional [[w:Healing|healing]] and peace{{f}}. A study by Worthington et al. (2007) reviewed the psychological and physiological effects of forgiveness and found that individuals who practised forgiveness experienced lower levels of stress and improved emotional regulation. The act of forgiveness helps to diminish the emotional burden of holding onto negative emotions, thereby promoting a more balanced and positive emotional state{{f}}.

{{RoundBoxTop|theme=2}}

;Quiz
&lt;quiz display=&quot;simple&quot;&gt;
{Research shows that mindfulness practices can strengthen emotional regulation and reduce symptoms of depression and anxiety:
|type=&quot;()&quot;}
+ True
- False

{Practising compassion has been shown to increase stress and decrease life satisfaction:
|type=&quot;()&quot;}
- True
+ False
&lt;/quiz&gt;

{{RoundBoxBottom}}

== Theoretical underpinnings ==
[[File:Carl Ransom Rogers.jpg|thumb|Figure 3. Carl Rogers{{ic|Explain how this relates to spirituality and mental health}}]]

[[w: Theoretical psychology|Psychology's theoretical foundations]] provide insights into the relationship between spirituality and mental health. They show how spiritual practices and beliefs can contribute to psychological and emotional well-being. One of the most influential perspectives is Carl Rogers' humanistic approach, which places a strong emphasis on the idea of self-actualisation (Rusu, 2019) {{ic|Rogers focused on the fully functioning person; Maslow focused on self-actualisation}}. The process of reaching one's full potential and becoming the most authentic version of oneself{{g}}. According to Rogers (see Figure 3), the pursuit of self-actualisation is an intensely personal and unique path on which the person aspires to become their most genuine self (Rusu, 2019). Similarly, Maslow's hierarchy of needs (1970) offers a motivational framework through which spirituality can support multiple levels of human development, from [[w:Belongingness|belongingness]] and esteem to self-actualisation and self-transcendence (see Figure 4). 

=== Carl Rogers' humanistic approach and spirituality ===
Rogers (1961, 1980) argued that psychological well-being stems from self-awareness, [[w:Autonomy|autonomy]], and personal growth, with self-actualisation as the pinnacle of development. Spiritual experiences, such as moments of profound [[w:Insight|insight]] or connection, may foster this process by encouraging individuals to explore values, beliefs and purpose (Guynn, 2021). Practices that nurture compassion, forgiveness, and self-acceptance reflect Rogers' concept of unconditional positive regard, supporting emotional resilience and alignment with authentic ideals. 

Several studies provide evidence that spirituality can support mental health and emotional well-being, though the benefits may be limited and dependent on the context. Baetz and Toews (2009) found that spirituality often promotes emotional coping, emotional regulation and [[w:Social connection|social connectedness]], yet it can also heighten [[w:Mental distress|distress]] when beliefs are experienced as punishing or conflictual. Similarly, Coelho-Júnior et al. (2022) [[w:Systematic review|systematically reviewed]] 102 [[w:Observational study|observational studies]] involving nearly 80,000 older adults. It was found that higher religiosity and spirituality were associated with lower depression and anxiety, greater life satisfaction, enhanced meaning in life and stronger social relationships. These findings are consistent with Roger's humanistic perspective, suggesting that engaging in spiritual practices can foster self-awareness, personal growth, and the pursuit of meaningful goals, thereby supporting both mental and emotional well-being.   

Critically, it is important to recognise that most of the evidence was obtained from observational studies, so causality cannot be assumed. How spirituality is defined also differs across the studies, and outcomes are shaped by [[w:Culture|cultural]] and age-related factors. Overall, Rogers' humanistic framework helps to understand how spirituality can support personal growth and emotional resilience, but these benefits are highly individual and conditional. 

{{RoundBoxTop|theme=2}} 
'''Quiz'''
&lt;quiz display=&quot;simple&quot;&gt;
{Baetz and Toews (2009) suggest that spirituality can sometimes increase distress if beliefs are experienced as punishing or conflictual:
|type=&quot;()&quot;}
+ True
- False

{Rogers’ framework implies that all individuals will benefit equally from spiritual engagement regardless of their cultural or personal context:
|type=&quot;()&quot;}
- True
+ False
&lt;/quiz&gt;

{{RoundBoxBottom}}

=== Maslow's hierarchy of needs and spirituality ===
[[File:Maslow's Hierarchy of Needs Diagram.png|thumb|606x606px|Figure 4. Diagram of Maslow's Hierarchy of Needs]]

Roger's emphasis on personal growth and the experiential nature of self-actualisation closely connect with Maslow's hierarchy of needs (Rogers, 1980). This model (see Figure 4) begins with physiological and safety needs, followed by belonging, esteem, and self-actualisation, with later models also recognising self-transcendence (Maslow, 1970). Spiritual practices, such as participating in communal activities and engaging in personal growth, can support a sense of belonging and enhance self-esteem (Barton &amp; Miller, 2015). Reflecting on meaning and purpose can support self-actualisation and transcendence (Louca et al., 2022). 

A meta-analysis by Yonker et al. (2011) reported small to moderate positive effects of spirituality on well-being (''r'' = 0.16) and self-esteem (''r'' = 0.11). Also noted were reductions in behavioural and depressive symptoms among over 66,000 [[w:Adolescence|adolescents]] and [[w:Emerging adulthood and early adulthood|emerging adults]]. Although effect sizes are relatively small, these results suggest that spiritual engagement contributes positively to psychological development. This study highlighted practices such as attending religious services, engaging in prayer or meditation, and participating in [[w:Volunteering|volunteering]]. By engaging in these practices, individuals can improve their mental health and emotional well-being, moving toward self-actualisation.     

Similarly, not all forms of spirituality have positive effects on well-being. Koenig (2012) warned that negative religious coping, such as viewing illness as a divine punishment or feeling abandoned by a faith community, can increase anxiety and depression. In some vulnerable individuals, it may also lead to [[w:Hallucination|hallucinations]]. Struggles with guilt, or conflict with religious [[w:Institution|institutions]], including experiences of church-related harm or difficulty with forgiveness, are linked to greater psychological distress and [[w:Suicidal ideation|suicidal thoughts]]. Spirituality can sometimes foster a sense of belonging, esteem, and meaning (Koenig, 2012). However, it is not always beneficial, and negative coping or conflicts can worsen mental health and increase psychological distress (Koenig, 2012).     

These findings align with Maslow's framework, indicating that spiritual engagement can be utilised as a practical tool to meet higher-level psychological needs. However, Koenig (2012) highlights that spirituality is not universally beneficial and can have negative contributions to mental health. It's also important to consider that most studies were correlational, and one was observational, which limits causal claims. Effects varied by age, ethnicity, and measurement method (specifically, the definition of spirituality), and most participants were predominantly from Western/Christian geographical locations. This highlights the need to consider sociocultural and individual factors when applying Maslow's model to spirituality's role in mental health and emotional well-being.

== Mechanisms linking spirituality and mental health ==
[[File:Изображение галлюцинации, сгенирированное нейросетью.jpg|thumb|323x323px|Figure 5. A rainbow coloured hallucination|right]]

For individuals with psychiatric disorders, spirituality can provide meaning, hope, and resilience (Shahina &amp; Parven, 2020). At the same time, spiritual experiences can overlap with symptoms of [[wikipedia:Schizophrenia|schizophrenia]], such as hallucinations (see Figure 5; Westhead &amp; Georgiades, 2025). Research highlights both the potential benefits and risks of incorporating spirituality as a treatment tool for psychiatric disorders.

Starnino’s (2016) qualitative [[wikipedia:Case_study|case study]] used a hermeneutic phenomenological approach to gain an in-depth understanding of the relationship between spirituality and mental health. The study carefully examined the experiences of two individuals (James and Helen) with severe [[wikipedia:Psychological_trauma|traumatic experiences]] and psychiatric conditions like schizophrenia. To help manage his symptoms, James practices spiritual activities such as meditation, prayer, and creating artwork. However, he noted that his spiritual beliefs were also closely linked to his [[wikipedia:Psychosis|psychotic]] symptoms. Specifically, the voices he kept hearing were interpreted as “[[wikipedia:Demon|demons]]”, telling him he “is in a battle of good vs evil” (Starnino, 2016). The case illustrates how spirituality can act as a coping mechanism while also potentially reinforcing psychotic experiences. It highlights the importance of clinical consideration when spirituality and mental health intersect.

Similarly, a study by Weisman de Mamani et al. (2010) investigated the spirituality in [[wikipedia:Psychotherapy|psychotherapy]] for patients with schizophrenia from [[w:Minority group|minority populations]] in the [[wikipedia:United_States|United States]]. Positive effects were observed with religious coping strategies, including practices such as prayer, meditation, and listening to spiritual music. These practices led to a reduction in patient symptoms, improved stress management, increased hope, and a greater sense of meaning in life. Negative outcomes occurred when spiritual beliefs intensified psychotic symptoms. Examples include interpreting hallucinations as direct messages from God or viewing mental illness as punishment. 

Together, these studies demonstrate that spirituality contributes to mental health outcomes in complex ways. Critically, these findings reinforce the importance of understanding individual experiences. [[w:Clinician|Clinicians]] also need to consider the nature of the psychiatric symptoms before integrating spiritual practices into treatment. Without careful assessment, spiritual practices can contribute to negative mental health outcomes such as hallucinations.

{{RoundBoxTop|theme=5}}
'''Case study'''
[[File:Helping the homeless.jpg|thumb|'''Figure 6'''. Two women are helping a homeless man by donating items to him.]]

Helen is a 42-year-old [[w:Christians|Christian]] female with a history of severe trauma and schizoaffective disorder. She was raised with a strict view of God. As a result, she viewed her life through a religious lens. In her teenage years, she was sexually abused by a [[w:Family|family]] member. She believed this was punishment from God because she “had [[w:Sin|sinned]] in some way&quot; (Starnino, 2016, p. 376).

In her early 20s, Helen began to experience hallucinations and voices paired with [[w:Flashback (psychology)|flashbacks]] of the abuse. She said, “I heard voices saying that I was selected ... I believed I deserved what was happening to me&quot; (Starnino, 2016, p. 376). During this period, she attempted [[w:Suicide|suicide]] and was hospitalised numerous times.

Ten years ago, after psychiatric hospitalisation, Helen began exploring spiritual practices with the guidance of a therapist. This helped her let go of early ideas of religion that reinforced [[w:Self-blame (psychology)|self-blame]]. She reflected, “[In the past] I would think ‘Well, I am separate and I am different because I have these challenges and the mental illness,’ and then I realized that everybody has something that they’re struggling with&quot; (Starnino, 2016, p. 380). She now views herself as “part of the universe, as part of humanity,” (Starnino, 2016, p. 380) which has supported her in meaning-making and positive adaptation.

Her new meaning in life derives from connection and growth. She said, “Before I would think, ‘God doesn’t like me.’ Now I see myself as being part of a greater, higher power that sort of makes me part of humanity&quot; (Starnino, 2016, p. 380). She also expressed belief in reincarnation, saying, “I do believe that when you die your spirit goes on to another adventure and you continue to work on what you’re supposed to learn&quot; (Starnino, 2016, p. 380). 

Currently, Helen employs spiritual coping mechanisms, including meditation, gratitude journaling, and time spent in nature, to support her well-being (Starnino, 2016, p. 381). She now finds purpose in advocacy and peer support, stating, “I found out that there is a purpose in my life and I can do things that I thought I couldn’t do before, and I can help other people&quot;(see Figure 6; Starnino, 2016, p. 381).  Helen’s story shows how spirituality can complicate recovery when linked to trauma and [[w:Psychosis|psychosis]], yet also play a vital role in reframing suffering, fostering resilience, and building a meaningful life (Starnino, 2016).

{{RoundBoxBottom}}

==Conclusion==
Spirituality has a significant role in supporting mental health and emotional wellbeing. It provides a sense of meaning, purpose, and connection. Engaging in spiritual practices helps individuals manage emotions, reduce stress, and build resilience. Mindfulness and meditation, enhance awareness of thoughts and feelings, improve emotional regulation, and can reduce anxiety and depression (Farb et al., 2007; Hofmann et al., 2010).  Compassion and self-compassion strengthen resilience and life satisfaction (Neff &amp; Germer, 2013), while forgiveness reduces anger and stress, supporting emotional well-being (Worthington, 2007).

Humanistic theories, including Rogers’ (1980) focus on self-actualisation and Maslow’s hierarchy of needs, highlight how spirituality encourages personal growth and the pursuit of higher-level psychological needs (Louca et al., 2022). Case studies show spirituality can serve as a coping tool, offering comfort and resilience. However, it can also pose risks, particularly when linked to trauma or psychotic symptoms (Starnino, 2016; Weisman de Mamani et al., 2010).

Critiques emphasise that spirituality is not universally beneficial. Its effects vary depending on individual context, personal history, and cultural background. Evidence is mostly drawn from Westernised populations, which may not generalise to Eastern or alternative spiritual practices. Defining and measuring spirituality remains challenging, limiting research consistency. Engagement should be tailored to the individual, and avoid obsession to the beliefs.

The key message is that spirituality can support mental health when approached carefully. It offers tools for emotional regulation, meaning-making, and personal growth. Awareness of potential risks and cultural differences is essential. For personal development, selective and balanced engagement with spiritual practices can enhance resilience, wellbeing and mental health. 

==See also ==
* [[Motivation and emotion/Book/2023/Growth mindset and mental health|Growth mindset and mental health]] (Book chapter, 2023)
* [[w:Self determination theory|Self determination theory]] (Wikipedia)
* [[Motivation and emotion/Book/2011/Spiritual and religious motivation|Spiritual and religious motivation]] (Book Chapter, 2011) 

==References ==
{{Hanging indent|1=

Baetz M, Toews J. Clinical implications of research on religion, spirituality, and mental health. ''Canadian Journal of Psychiatry, 54''(5):292-301. [https://doi.org/10.1177/070674370905400503 https://doi.org/10.1177/070674370905400503] 

Barton, Y. A., &amp; Miller, L. (2015). Spirituality and positive psychology go hand in hand: An investigation of multiple empirically derived profiles and related protective benefits. ''Journal of Religion and Health, 54'', 829–843. [https://doi.org/10.1007/s10943-015-0045-2 https://doi.org/10.1007/s10943-015-0045-2]

Coelho-Júnior, H. J., Calvani, R., Panza, F., Allegri, R. F., Picca, A., Marzetti, E., &amp; Alves, V. P. (2022). Religiosity/spirituality and mental Health in older adults: A systematic review and meta-analysis of observational studies. ''Frontiers in Medicine, 9''. [https://doi.org/10.3389/fmed.2022.877213 https://doi.org/10.3389/fmed.2022.877213]

De Mamani, A. G. W., Tuchman, N., &amp; Duarte, E. A. (2010). Incorporating religion/spirituality into treatment for serious mental illness. ''Cognitive and Behavioral Practice, 17''(4), 348–357. [https://doi.org/10.1016/j.cbpra.2009.05.003 https://doi.org/10.1016/j.cbpra.2009.05.003] 

Farb, N. A. S., Segal, Z. V., Mayberg, H., Bean, J., McKeon, D., Fatima, Z., &amp; Anderson, A. K. (2007). Attending to the present: mindfulness meditation reveals distinct neural modes of self-reference. ''Social Cognitive and Affective Neuroscience, 2''(4), 313–322. [https://doi.org/10.1093/scan/nsm030 https://doi.org/10.1093/scan/nsm030]

Guynn, M. (2021). The art of actualization. ''Curiosity Interdisciplinary Journal of Research and Innovation''. [https://doi.org/10.36898/001c.28094 https://doi.org/10.36898/001c.28094]

Hofmann, S. G., Sawyer, A. T., Witt, A. A., &amp; Oh, D. (2010). The effect of mindfulness-based therapy on anxiety and depression: A meta-analytic review. ''Journal of Consulting and Clinical Psychology, 78''(2), 169–183.

Koenig, H. G. (2010). Spirituality and mental health. ''International Journal of Applied Psychoanalytic Studies, 7''(2), 116–122. [https://doi.org/10.1002/aps.239 https://doi.org/10.1002/aps.239]

Louca, E. P., Esmailnia, S., &amp; Thoma, N. (2022). Spirituality of the developing person according to Maslow. ''New Ideas in Psychology, 69'', 100994. [https://doi.org/10.1016/j.newideapsych.2022.100994 https://doi.org/10.1016/j.newideapsych.2022.100994]

Maslow, A. H. (1970). ''Motivation and personality'' (2nd ed.). Harper &amp; Row.

Neff, K. D., &amp; Germer, C. K. (2013). A pilot study and randomized controlled trial of the mindful self-compassion program. ''Journal of Clinical Psychology, 69''(1), 28–44.

Papaleontiou–Louca, E., Esmailnia, S., &amp; Thoma, N. (2021). A critical review of Maslow’s theory of spirituality. ''Journal of Spirituality in Mental Health, 24''(4), 327–343. [https://doi.org/10.1080/19349637.2021.1932694 https://doi.org/10.1080/19349637.2021.1932694]

Rogers, C. R. (1961). ''On becoming a person: A therapist's view of psychotherapy''. Boston: Houghton Mifflin Harcourt.

Rogers, C. R. (1980). ''A way of being''. Boston: Houghton Mifflin Harcourt.

Rusu, M. (2019). The process of self-realization—from the humanist psychology perspective. ''Psychology, 10''(08), 1095–1115. [https://doi.org/10.4236/psych.2019.108071 https://doi.org/10.4236/psych.2019.108071]

Shahina, G., &amp; Parveen, A. (2020). Role of spirituality in building up resilience and mental health among adolescents. ''Indian Journal of Positive Psychology, 11''(4).  

Starnino, V. R. (2016). When trauma, spirituality, and mental illness intersect: A qualitative case study. ''Psychological Trauma Theory Research Practice and Policy, 8''(3), 375–383 [https://psycnet.apa.org/doi/10.1037/tra0000105 https://psycnet.apa.org/doi/10.1037/tra0000105]

Verghese, A. (2008). Spirituality and mental health.''Indian Journal of Psychiatry, 50''(4), 233–237. [https://doi.org/10.4103/0019-5545.44742 https://doi.org/10.4103/0019-5545.44742]

Vitell, S. J., King, R. A., Howie, K., Toti, J., Albert, L., Hidalgo, E. R., &amp; Yacout, O. (2015). Spirituality, moral identity, and consumer ethics: A multi-cultural study. ''Journal of Business Ethics, 139''(1), 147–160. [https://doi.org/10.1007/s10551-015-2626-0 https://doi.org/10.1007/s10551-015-2626-0]

Westhead, M., &amp; Georgiades, A. (2025). The role of spirituality and religiosity in the maintenance and recovery of psychosis: A systematic review. ''Early Intervention in Psychiatry, 19''(7). [https://doi.org/10.1111/eip.70061 https://doi.org/10.1111/eip.70061] 

Wong, P. T. P. (2016). Meaning-seeking, self-transcendence, and well-being. In A. Batthyány (Ed.), ''Logotherapy and existential analysis: Proceedings of the Viktor Frankl Institute Vienna'' (Vol. 1,pp. 311–321). [https://doi.org/10.1007/978-3-319-29424-7%2027 https://doi.org/10.1007/978-3-319-29424-7_27]

Worthington, E. L., Van Oyen Witvliet, C., Pietrini, P., &amp; Miller, A. J. (2007). Forgiveness, health, and well-being: A review of evidence for emotional versus decisional forgiveness, dispositional forgivingness, and reduced unforgiveness. ''Journal of Behavioral Medicine, 30''(4), 291–302. [https://doi.org/10.1007/s10865-007-9105-8 https://doi.org/10.1007/s10865-007-9105-8]

Yonker, J. E., Schnabelrauch, C. A., &amp; DeHaan, L. G. (2011). The relationship between spirituality and religiosity on psychological outcomes in adolescents and emerging adults: A meta‐analytic review. ''Journal of Adolescence, 35''(2), 299–314. [https://doi.org/10.1016/j.adolescence.2011.08.010 https://doi.org/10.1016/j.adolescence.2011.08.010]

}}

==External links==
* [https://www.abc.net.au/listen/programs/godforbid/a-prayer-or-a-pill-exploring-mental-health-science-and-religion/14100642 ABC Radio National: A prayer or pill? Exploring mental health science and religion] (abc.net.au)
* [https://www.rcpsych.ac.uk/mental-health/treatments-and-wellbeing/spirituality-and-mental-health Spiritual health care] (rcpsych.ac.uk)
* [https://www.youtube.com/watch?v=lWePaMgaVZg What is Spirituality?] (YouTube)

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== Overview ==
{{RoundBoxTop|theme=8}} 
[[File:Doctor with Patient Cartoon.svg|thumb|'''Figure 1'''. A doctor consulting a patient.{{ic|Explain how this relates to spirituality and mental health or the scenario}}]]

;Scenario 

Brenda has advanced [[w:Bone tumor|bone cancer]]. Her doctors told her the [[w:Disease|disease]] had grown too aggressive for her body to fight alone (see Figure 1). Facing endless [[w:Chemotherapy|chemotherapy]], she felt  [[w:Anxiety|anxious]] and uncertain about the future. Hopelessness weighed heavily on her.

To cope, Brenda turned inward to her spirituality. She practised daily [[w:Meditation|meditation]], using body scans to release tension and reconnect with her body. [[w:Prayer|Prayer]] and [[w:Gratitude|gratitude]] became daily [[w:Ritual|rituals]], helping her notice small moments of meaning even amid suffering. These practices brought calm and a sense of control, allowing her to approach each day with steadier [[w:Emotion|emotions]]. She also found [[w:Social support|support]] in a local spiritual group. Sharing fears with others who understood her journey eased her sense of isolation and offered reassurance.

Over time, [[w:Spirituality|spirituality]] reshaped Brenda’s outlook. She shifted focus from her illness to purpose, connection, and [[w:Personal development|personal growth]]. Each meditation, prayer, and shared story helped her find [[w:Peace|peace]] and maintain [[w:Hope|hope]]. In a life filled with uncertainty, these practices became tools to navigate fear, [[w:Psychological resilience|strengthen resilience]], and preserve [[w:Dignity|dignity]]. Spirituality gave Brenda a framework to face [[w:Suffering|suffering]] without losing herself, and to discover meaning beyond the limits of her illness.

{{RoundBoxBottom}}

Spirituality provides people with a [[wikipedia:Meaning_of_life|sense of meaning]], purpose, and connection that goes beyond the material aspects of life. These shape how people see themselves and their role in the [[w:World|world]]. For some, spirituality supports [[wikipedia:Mental_health|mental health]] and emotional [[wikipedia:Well-being|well-being]] by reducing stress and improving emotion control (Verghese, 2008). For others, it can cause distress, especially when they associate their beliefs with feelings of guilt, punishment, or conflict (Koenig, 2012). 

Psychological theories help explain these mixed effects. [[wikipedia:Carl_Rogers|Carl Rogers']] [[wikipedia:Humanistic_psychology|humanistic approach]] shows that self-actualisation is crucial to personal growth and is often linked to spiritual experiences (Rogers, 1980). [[wikipedia:Maslow's_hierarchy_of_needs|Maslow's hierarchy of needs]] reinforces this by placing transcendence and [[Motivation and emotion/Textbook/Motivation/Self-actualisation|self-actualisation]] at the top of human motivation (Maslow, 1970). This illustrates how spirituality can either ease or hinder {{explain}} development. Together, these ideas demonstrate how spirituality can contribute to an individuals{{g}} mental health and emotional well-being (Louca et al., 2022).

{{RoundBoxTop|theme=11}}
; Focus questions

* What is spirituality? 
* How does spirituality promote emotional well-being through mindfulness, compassion, and forgiveness? 
* How do psychological theories explain the contribution of spirituality to mental health and well-being?
* How does current research support incorporating spirituality into the treatment of psychiatric disorders?

{{RoundBoxBottom}}

==What is spirituality? ==
Spirituality includes a variety of personal held [[w:Belief|beliefs]] and [[w:Experience|experiences]] that involve a deep connection to a higher power or something larger than oneself. It includes a variety of beliefs and life experiences that relate to exploration, meaning, and purpose in the world (Verghese, 2008; Louca et al., 2022). 

[[File:Falun Dafa fifth meditation exercise.jpg|thumb|227x227px|Figure 2. Female {{ic|Why does assumed gender matter here?}} practising meditation]]

'''Important facets of spirituality consist of:'''
* ''Connection'': Feeling a connection to the cosmos, [[nature]], other people, a higher power, or even one's inner self is a common aspect of spirituality. This relationship can give rise to a feeling of understanding and [[w:Community|community]] that goes beyond daily existence (Wong, 2016).
* ''Meaning and purpose'': The search for life's meaning and purpose is frequently linked to spirituality{{f}}. It can offer responses to existential questions like &quot;What is my purpose?&quot; and &quot;Why am I here?&quot; This quest for purpose may shape choices, deeds, and a person's life's path in general (Wong, 2016).
* ''Transcendence:'' Experiences that transcend the [[w:Mundane|mundane]] or material world are often associated with spirituality{{f}}. This might include sensations of amazement, or a profound sense of serenity that comes from marvelling at the immensity of the cosmos, meditating, or having meaningful interactions with other people (Wong, 2016).
* ''[[w:Morality|Morality]] and Values:'' A lot of individuals look to their spiritual beliefs for their [[w:Moral|moral]] guidance and values{{f}}. People's perceptions of right and wrong, behaviour, and interactions with people and the outside environment can all be influenced by their spirituality (Vitell et al., 2015).
* ''Personal Development:'' Seeking self-improvement and personal growth is frequently associated with spirituality{{f}}. This might entail pursuing [[w:Knowledge|knowledge]], developing moral qualities like [[w:Forgiveness|forgiveness]] and [[w:Compassion|compassion]], and making an effort to improve oneself (Wong, 2016).
* ''Practices:'' A variety of activities, including [[yoga]] (see Figure 2), meditation, prayer, rituals, and acts of service, can be used to express spirituality{{f}}. 

Through these activities, people can develop a sense of inner strength, balance, and serenity as well as a deeper connection to their spiritual beliefs{{f}}. Spirituality may be found in many different forms and circumstances, both inside and outside of [[w:Religion|religion]]. It's about each person's path to [[w:Self-awareness|self-awareness]], meaning, and connection {{g}} these journeys can frequently result in improved mental, emotional, and even physical health (Verghese, 2008).

== Emotional regulation and spirituality: The role of mindfulness, compassion, and forgiveness ==
Spiritual activities or actions that involve [[mindfulness]], compassion and forgiveness can also offer important psychological advantages. They help people reduce [[Stress (psychological)|stress]], manage negative emotions, and encourage good emotions. [[w:Psychology|Psychology]] [[w:Research|research]] is increasingly recognising the importance of these spiritual activities in fostering mental and emotional well-being (Hofmann et al., 2010).

=== Mindfulness meditation ===
* With its origins in spiritual [[w:Tradition|traditions]] like [[Buddhism/Introduction|Buddhism]], mindfulness meditation has gained widespread recognition as a useful method in [[w:Psychotherapy|psychological therapy]] for [[w: Emotional self-regulation|regulating emotions]]. Being mindful entails focusing on the here and now while adopting an accepting, non-judgmental [[w:Mindset|mindset]]. People can respond to stress in healthier and more adaptable ways by developing this awareness, which makes them more conscious of their thoughts and feelings (Farb et al., 2007).
* An increasing amount of studies demonstrates how much mindfulness practices help with emotional control. Hofmann et al. (2010, conducted a [[w:Meta-analysis|meta-analysis]] of 39 papers to look at the effects of mindfulness-based treatment on [[wikipedia:Depression_(mood)|depression]] and anxiety. The findings showed that mindfulness plays a critical role in assisting people in controlling their negative emotions by dramatically reducing [[w:Signs and symptoms|symptoms]] of both anxiety and sadness.
* [[wikipedia:Functional_magnetic_resonance_imaging|Functional magnetic resonance imaging (fMRI)]] was employed in a study by Farb et al. (2007) to investigate the [[w:Brain|brain]] processes underlying mindfulness. The study discovered that self-referential processing and emotional regulation-related alterations in brain activity were linked to mindfulness training. Individuals who engaged in mindfulness practices demonstrated improved emotional regulation, especially under pressure, and a higher level of awareness of their emotional states.

=== Compassion ===
* Another essential comp{{f}}onent of many spiritual traditions is compassion, which is acknowledging one's own and other people's pain and acting with kindness and a wish to lessen that suffering. Neff and Germer's (2013) study investigated how a [[wikipedia:Self-compassion|self-compassion]] training programme affected participants' emotional health. According to the study, those who practiced self-compassion showed large improvements in life satisfaction along with significant decreases in stress, anxiety, and despair. By treating oneself with the same consideration and understanding that they would provide to a friend, people who practice self-compassion are able to protect themselves from the damaging effects of stress and foster emotional resilience.

=== Forgiveness ===
* Forgiveness, a practice emphasised in many spiritual traditions, involves letting go of [[wikipedia:Anger|anger]], resentment, and the [[w:Desire|desire]] for [[wikipedia:Revenge|revenge]] toward someone who has caused harm{{f}}. Forgiveness is a powerful tool for emotional regulation, as it allows individuals to release negative emotions and move toward emotional [[w:Healing|healing]] and peace{{f}}. A study by Worthington et al. (2007) reviewed the psychological and physiological effects of forgiveness and found that individuals who practised forgiveness experienced lower levels of stress and improved emotional regulation. The act of forgiveness helps to diminish the emotional burden of holding onto negative emotions, thereby promoting a more balanced and positive emotional state{{f}}.

{{RoundBoxTop|theme=2}}

;Quiz
&lt;quiz display=&quot;simple&quot;&gt;
{Research shows that mindfulness practices can strengthen emotional regulation and reduce symptoms of depression and anxiety:
|type=&quot;()&quot;}
+ True
- False

{Practising compassion has been shown to increase stress and decrease life satisfaction:
|type=&quot;()&quot;}
- True
+ False
&lt;/quiz&gt;

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== Theoretical underpinnings ==
[[File:Carl Ransom Rogers.jpg|thumb|Figure 3. Carl Rogers{{ic|Explain how this relates to spirituality and mental health}}]]

[[w: Theoretical psychology|Psychology's theoretical foundations]] provide insights into the relationship between spirituality and mental health. They show how spiritual practices and beliefs can contribute to psychological and emotional well-being. One of the most influential perspectives is Carl Rogers' humanistic approach, which places a strong emphasis on the idea of self-actualisation (Rusu, 2019) {{ic|Rogers focused on the fully functioning person; Maslow focused on self-actualisation}}. The process of reaching one's full potential and becoming the most authentic version of oneself{{g}}. According to Rogers (see Figure 3), the pursuit of self-actualisation is an intensely personal and unique path on which the person aspires to become their most genuine self (Rusu, 2019). Similarly, Maslow's hierarchy of needs (1970) offers a motivational framework through which spirituality can support multiple levels of human development, from [[w:Belongingness|belongingness]] and esteem to self-actualisation and self-transcendence (see Figure 4). 

=== Carl Rogers' humanistic approach and spirituality ===
Rogers (1961, 1980) argued that psychological well-being stems from self-awareness, [[w:Autonomy|autonomy]], and personal growth, with self-actualisation as the pinnacle of development. Spiritual experiences, such as moments of profound [[w:Insight|insight]] or connection, may foster this process by encouraging individuals to explore values, beliefs and purpose (Guynn, 2021). Practices that nurture compassion, forgiveness, and self-acceptance reflect Rogers' concept of unconditional positive regard, supporting emotional resilience and alignment with authentic ideals. 

Several studies provide evidence that spirituality can support mental health and emotional well-being, though the benefits may be limited and dependent on the context. Baetz and Toews (2009) found that spirituality often promotes emotional coping, emotional regulation and [[w:Social connection|social connectedness]], yet it can also heighten [[w:Mental distress|distress]] when beliefs are experienced as punishing or conflictual. Similarly, Coelho-Júnior et al. (2022) [[w:Systematic review|systematically reviewed]] 102 [[w:Observational study|observational studies]] involving nearly 80,000 older adults. It was found that higher religiosity and spirituality were associated with lower depression and anxiety, greater life satisfaction, enhanced meaning in life and stronger social relationships. These findings are consistent with Roger's humanistic perspective, suggesting that engaging in spiritual practices can foster self-awareness, personal growth, and the pursuit of meaningful goals, thereby supporting both mental and emotional well-being.   

Critically, it is important to recognise that most of the evidence was obtained from observational studies, so causality cannot be assumed. How spirituality is defined also differs across the studies, and outcomes are shaped by [[w:Culture|cultural]] and age-related factors. Overall, Rogers' humanistic framework helps to understand how spirituality can support personal growth and emotional resilience, but these benefits are highly individual and conditional. 

{{RoundBoxTop|theme=2}} 
'''Quiz'''
&lt;quiz display=&quot;simple&quot;&gt;
{Baetz and Toews (2009) suggest that spirituality can sometimes increase distress if beliefs are experienced as punishing or conflictual:
|type=&quot;()&quot;}
+ True
- False

{Rogers’ framework implies that all individuals will benefit equally from spiritual engagement regardless of their cultural or personal context:
|type=&quot;()&quot;}
- True
+ False
&lt;/quiz&gt;

{{RoundBoxBottom}}

=== Maslow's hierarchy of needs and spirituality ===
[[File:Maslow's Hierarchy of Needs Diagram.png|thumb|606x606px|Figure 4. Diagram of Maslow's Hierarchy of Needs]]

Roger's emphasis on personal growth and the experiential nature of self-actualisation closely connect with Maslow's hierarchy of needs (Rogers, 1980). This model (see Figure 4) begins with physiological and safety needs, followed by belonging, esteem, and self-actualisation, with later models also recognising self-transcendence (Maslow, 1970). Spiritual practices, such as participating in communal activities and engaging in personal growth, can support a sense of belonging and enhance self-esteem (Barton &amp; Miller, 2015). Reflecting on meaning and purpose can support self-actualisation and transcendence (Louca et al., 2022). 

A meta-analysis by Yonker et al. (2011) reported small to moderate positive effects of spirituality on well-being (''r'' = 0.16) and self-esteem (''r'' = 0.11). Also noted were reductions in behavioural and depressive symptoms among over 66,000 [[w:Adolescence|adolescents]] and [[w:Emerging adulthood and early adulthood|emerging adults]]. Although effect sizes are relatively small, these results suggest that spiritual engagement contributes positively to psychological development. This study highlighted practices such as attending religious services, engaging in prayer or meditation, and participating in [[w:Volunteering|volunteering]]. By engaging in these practices, individuals can improve their mental health and emotional well-being, moving toward self-actualisation.     

Similarly, not all forms of spirituality have positive effects on well-being. Koenig (2012) warned that negative religious coping, such as viewing illness as a divine punishment or feeling abandoned by a faith community, can increase anxiety and depression. In some vulnerable individuals, it may also lead to [[w:Hallucination|hallucinations]]. Struggles with guilt, or conflict with religious [[w:Institution|institutions]], including experiences of church-related harm or difficulty with forgiveness, are linked to greater psychological distress and [[w:Suicidal ideation|suicidal thoughts]]. Spirituality can sometimes foster a sense of belonging, esteem, and meaning (Koenig, 2012). However, it is not always beneficial, and negative coping or conflicts can worsen mental health and increase psychological distress (Koenig, 2012).     

These findings align with Maslow's framework, indicating that spiritual engagement can be utilised as a practical tool to meet higher-level psychological needs. However, Koenig (2012) highlights that spirituality is not universally beneficial and can have negative contributions to mental health. It's also important to consider that most studies were correlational, and one was observational, which limits causal claims. Effects varied by age, ethnicity, and measurement method (specifically, the definition of spirituality), and most participants were predominantly from Western/Christian geographical locations. This highlights the need to consider sociocultural and individual factors when applying Maslow's model to spirituality's role in mental health and emotional well-being.

== Mechanisms linking spirituality and mental health ==
[[File:Изображение галлюцинации, сгенирированное нейросетью.jpg|thumb|250x250px|Figure 5. An AI-generated, metaphorical depiction of a visual hallucination, illustrating how perceptual experiences in psychosis may be vivid, distorted, and subjectively meaningful (e.g., interpreted through spiritual or religious beliefs).|right]]

For people with psychiatric disorders, spirituality can provide meaning, hope, and resilience (Shahina &amp; Parven, 2020). At the same time, spiritual experiences can overlap with symptoms of [[wikipedia:Schizophrenia|schizophrenia]], such as hallucinations (see Figure 5; Westhead &amp; Georgiades, 2025). Research highlights both the potential benefits and risks of incorporating spirituality as a treatment tool for psychiatric disorders.

Starnino’s (2016) qualitative [[wikipedia:Case_study|case study]] used a hermeneutic phenomenological approach to gain an in-depth understanding of the relationship between spirituality and mental health. The study carefully examined the experiences of two individuals (James and Helen) with severe [[wikipedia:Psychological_trauma|traumatic experiences]] and psychiatric conditions like schizophrenia. To help manage his symptoms, James practices spiritual activities such as meditation, prayer, and creating artwork. However, he noted that his spiritual beliefs were also closely linked to his [[wikipedia:Psychosis|psychotic]] symptoms. Specifically, the voices he kept hearing were interpreted as “[[wikipedia:Demon|demons]]”, telling him he “is in a battle of good vs evil” (Starnino, 2016). The case illustrates how spirituality can act as a coping mechanism while also potentially reinforcing psychotic experiences. It highlights the importance of clinical consideration when spirituality and mental health intersect.

Similarly, a study by Weisman de Mamani et al. (2010) investigated the spirituality in [[wikipedia:Psychotherapy|psychotherapy]] for patients with schizophrenia from [[w:Minority group|minority populations]] in the [[wikipedia:United_States|United States]]. Positive effects were observed with religious coping strategies, including practices such as prayer, meditation, and listening to spiritual music. These practices led to a reduction in patient symptoms, improved stress management, increased hope, and a greater sense of meaning in life. Negative outcomes occurred when spiritual beliefs intensified psychotic symptoms. Examples include interpreting hallucinations as direct messages from God or viewing mental illness as punishment. 

Together, these studies demonstrate that spirituality contributes to mental health outcomes in complex ways. Critically, these findings reinforce the importance of understanding individual experiences. [[w:Clinician|Clinicians]] also need to consider the nature of the psychiatric symptoms before integrating spiritual practices into treatment. Without careful assessment, spiritual practices can contribute to negative mental health outcomes such as hallucinations.

{{RoundBoxTop|theme=5}}
'''Case study'''
[[File:Helping the homeless.jpg|thumb|'''Figure 6'''. Two women are helping a homeless man by donating items to him.]]

Helen is a 42-year-old [[w:Christians|Christian]] female with a history of severe trauma and schizoaffective disorder. She was raised with a strict view of God. As a result, she viewed her life through a religious lens. In her teenage years, she was sexually abused by a [[w:Family|family]] member. She believed this was punishment from God because she “had [[w:Sin|sinned]] in some way&quot; (Starnino, 2016, p. 376).

In her early 20s, Helen began to experience hallucinations and voices paired with [[w:Flashback (psychology)|flashbacks]] of the abuse. She said, “I heard voices saying that I was selected ... I believed I deserved what was happening to me&quot; (Starnino, 2016, p. 376). During this period, she attempted [[w:Suicide|suicide]] and was hospitalised numerous times.

Ten years ago, after psychiatric hospitalisation, Helen began exploring spiritual practices with the guidance of a therapist. This helped her let go of early ideas of religion that reinforced [[w:Self-blame (psychology)|self-blame]]. She reflected, “[In the past] I would think ‘Well, I am separate and I am different because I have these challenges and the mental illness,’ and then I realized that everybody has something that they’re struggling with&quot; (Starnino, 2016, p. 380). She now views herself as “part of the universe, as part of humanity,” (Starnino, 2016, p. 380) which has supported her in meaning-making and positive adaptation.

Her new meaning in life derives from connection and growth. She said, “Before I would think, ‘God doesn’t like me.’ Now I see myself as being part of a greater, higher power that sort of makes me part of humanity&quot; (Starnino, 2016, p. 380). She also expressed belief in reincarnation, saying, “I do believe that when you die your spirit goes on to another adventure and you continue to work on what you’re supposed to learn&quot; (Starnino, 2016, p. 380). 

Currently, Helen employs spiritual coping mechanisms, including meditation, gratitude journaling, and time spent in nature, to support her well-being (Starnino, 2016, p. 381). She now finds purpose in advocacy and peer support, stating, “I found out that there is a purpose in my life and I can do things that I thought I couldn’t do before, and I can help other people&quot;(see Figure 6; Starnino, 2016, p. 381).  Helen’s story shows how spirituality can complicate recovery when linked to trauma and [[w:Psychosis|psychosis]], yet also play a vital role in reframing suffering, fostering resilience, and building a meaningful life (Starnino, 2016).

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==Conclusion==
Spirituality has a significant role in supporting mental health and emotional wellbeing. It provides a sense of meaning, purpose, and connection. Engaging in spiritual practices helps individuals manage emotions, reduce stress, and build resilience. Mindfulness and meditation, enhance awareness of thoughts and feelings, improve emotional regulation, and can reduce anxiety and depression (Farb et al., 2007; Hofmann et al., 2010).  Compassion and self-compassion strengthen resilience and life satisfaction (Neff &amp; Germer, 2013), while forgiveness reduces anger and stress, supporting emotional well-being (Worthington, 2007).

Humanistic theories, including Rogers’ (1980) focus on self-actualisation and Maslow’s hierarchy of needs, highlight how spirituality encourages personal growth and the pursuit of higher-level psychological needs (Louca et al., 2022). Case studies show spirituality can serve as a coping tool, offering comfort and resilience. However, it can also pose risks, particularly when linked to trauma or psychotic symptoms (Starnino, 2016; Weisman de Mamani et al., 2010).

Critiques emphasise that spirituality is not universally beneficial. Its effects vary depending on individual context, personal history, and cultural background. Evidence is mostly drawn from Westernised populations, which may not generalise to Eastern or alternative spiritual practices. Defining and measuring spirituality remains challenging, limiting research consistency. Engagement should be tailored to the individual, and avoid obsession to the beliefs.

The key message is that spirituality can support mental health when approached carefully. It offers tools for emotional regulation, meaning-making, and personal growth. Awareness of potential risks and cultural differences is essential. For personal development, selective and balanced engagement with spiritual practices can enhance resilience, wellbeing and mental health. 

==See also ==
* [[Motivation and emotion/Book/2023/Growth mindset and mental health|Growth mindset and mental health]] (Book chapter, 2023)
* [[w:Self determination theory|Self determination theory]] (Wikipedia)
* [[Motivation and emotion/Book/2011/Spiritual and religious motivation|Spiritual and religious motivation]] (Book Chapter, 2011) 

==References ==
{{Hanging indent|1=

Baetz M, Toews J. Clinical implications of research on religion, spirituality, and mental health. ''Canadian Journal of Psychiatry, 54''(5):292-301. [https://doi.org/10.1177/070674370905400503 https://doi.org/10.1177/070674370905400503] 

Barton, Y. A., &amp; Miller, L. (2015). Spirituality and positive psychology go hand in hand: An investigation of multiple empirically derived profiles and related protective benefits. ''Journal of Religion and Health, 54'', 829–843. [https://doi.org/10.1007/s10943-015-0045-2 https://doi.org/10.1007/s10943-015-0045-2]

Coelho-Júnior, H. J., Calvani, R., Panza, F., Allegri, R. F., Picca, A., Marzetti, E., &amp; Alves, V. P. (2022). Religiosity/spirituality and mental Health in older adults: A systematic review and meta-analysis of observational studies. ''Frontiers in Medicine, 9''. [https://doi.org/10.3389/fmed.2022.877213 https://doi.org/10.3389/fmed.2022.877213]

De Mamani, A. G. W., Tuchman, N., &amp; Duarte, E. A. (2010). Incorporating religion/spirituality into treatment for serious mental illness. ''Cognitive and Behavioral Practice, 17''(4), 348–357. [https://doi.org/10.1016/j.cbpra.2009.05.003 https://doi.org/10.1016/j.cbpra.2009.05.003] 

Farb, N. A. S., Segal, Z. V., Mayberg, H., Bean, J., McKeon, D., Fatima, Z., &amp; Anderson, A. K. (2007). Attending to the present: mindfulness meditation reveals distinct neural modes of self-reference. ''Social Cognitive and Affective Neuroscience, 2''(4), 313–322. [https://doi.org/10.1093/scan/nsm030 https://doi.org/10.1093/scan/nsm030]

Guynn, M. (2021). The art of actualization. ''Curiosity Interdisciplinary Journal of Research and Innovation''. [https://doi.org/10.36898/001c.28094 https://doi.org/10.36898/001c.28094]

Hofmann, S. G., Sawyer, A. T., Witt, A. A., &amp; Oh, D. (2010). The effect of mindfulness-based therapy on anxiety and depression: A meta-analytic review. ''Journal of Consulting and Clinical Psychology, 78''(2), 169–183.

Koenig, H. G. (2010). Spirituality and mental health. ''International Journal of Applied Psychoanalytic Studies, 7''(2), 116–122. [https://doi.org/10.1002/aps.239 https://doi.org/10.1002/aps.239]

Louca, E. P., Esmailnia, S., &amp; Thoma, N. (2022). Spirituality of the developing person according to Maslow. ''New Ideas in Psychology, 69'', 100994. [https://doi.org/10.1016/j.newideapsych.2022.100994 https://doi.org/10.1016/j.newideapsych.2022.100994]

Maslow, A. H. (1970). ''Motivation and personality'' (2nd ed.). Harper &amp; Row.

Neff, K. D., &amp; Germer, C. K. (2013). A pilot study and randomized controlled trial of the mindful self-compassion program. ''Journal of Clinical Psychology, 69''(1), 28–44.

Papaleontiou–Louca, E., Esmailnia, S., &amp; Thoma, N. (2021). A critical review of Maslow’s theory of spirituality. ''Journal of Spirituality in Mental Health, 24''(4), 327–343. [https://doi.org/10.1080/19349637.2021.1932694 https://doi.org/10.1080/19349637.2021.1932694]

Rogers, C. R. (1961). ''On becoming a person: A therapist's view of psychotherapy''. Boston: Houghton Mifflin Harcourt.

Rogers, C. R. (1980). ''A way of being''. Boston: Houghton Mifflin Harcourt.

Rusu, M. (2019). The process of self-realization—from the humanist psychology perspective. ''Psychology, 10''(08), 1095–1115. [https://doi.org/10.4236/psych.2019.108071 https://doi.org/10.4236/psych.2019.108071]

Shahina, G., &amp; Parveen, A. (2020). Role of spirituality in building up resilience and mental health among adolescents. ''Indian Journal of Positive Psychology, 11''(4).  

Starnino, V. R. (2016). When trauma, spirituality, and mental illness intersect: A qualitative case study. ''Psychological Trauma Theory Research Practice and Policy, 8''(3), 375–383 [https://psycnet.apa.org/doi/10.1037/tra0000105 https://psycnet.apa.org/doi/10.1037/tra0000105]

Verghese, A. (2008). Spirituality and mental health.''Indian Journal of Psychiatry, 50''(4), 233–237. [https://doi.org/10.4103/0019-5545.44742 https://doi.org/10.4103/0019-5545.44742]

Vitell, S. J., King, R. A., Howie, K., Toti, J., Albert, L., Hidalgo, E. R., &amp; Yacout, O. (2015). Spirituality, moral identity, and consumer ethics: A multi-cultural study. ''Journal of Business Ethics, 139''(1), 147–160. [https://doi.org/10.1007/s10551-015-2626-0 https://doi.org/10.1007/s10551-015-2626-0]

Westhead, M., &amp; Georgiades, A. (2025). The role of spirituality and religiosity in the maintenance and recovery of psychosis: A systematic review. ''Early Intervention in Psychiatry, 19''(7). [https://doi.org/10.1111/eip.70061 https://doi.org/10.1111/eip.70061] 

Wong, P. T. P. (2016). Meaning-seeking, self-transcendence, and well-being. In A. Batthyány (Ed.), ''Logotherapy and existential analysis: Proceedings of the Viktor Frankl Institute Vienna'' (Vol. 1,pp. 311–321). [https://doi.org/10.1007/978-3-319-29424-7%2027 https://doi.org/10.1007/978-3-319-29424-7_27]

Worthington, E. L., Van Oyen Witvliet, C., Pietrini, P., &amp; Miller, A. J. (2007). Forgiveness, health, and well-being: A review of evidence for emotional versus decisional forgiveness, dispositional forgivingness, and reduced unforgiveness. ''Journal of Behavioral Medicine, 30''(4), 291–302. [https://doi.org/10.1007/s10865-007-9105-8 https://doi.org/10.1007/s10865-007-9105-8]

Yonker, J. E., Schnabelrauch, C. A., &amp; DeHaan, L. G. (2011). The relationship between spirituality and religiosity on psychological outcomes in adolescents and emerging adults: A meta‐analytic review. ''Journal of Adolescence, 35''(2), 299–314. [https://doi.org/10.1016/j.adolescence.2011.08.010 https://doi.org/10.1016/j.adolescence.2011.08.010]

}}

==External links==
* [https://www.abc.net.au/listen/programs/godforbid/a-prayer-or-a-pill-exploring-mental-health-science-and-religion/14100642 ABC Radio National: A prayer or pill? Exploring mental health science and religion] (abc.net.au)
* [https://www.rcpsych.ac.uk/mental-health/treatments-and-wellbeing/spirituality-and-mental-health Spiritual health care] (rcpsych.ac.uk)
* [https://www.youtube.com/watch?v=lWePaMgaVZg What is Spirituality?] (YouTube)

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== Overview ==
{{RoundBoxTop|theme=8}} 
[[File:Doctor with Patient Cartoon.svg|thumb|'''Figure 1'''. A doctor consulting a patient.{{ic|Explain how this relates to spirituality and mental health or the scenario}}]]

;Scenario 

Brenda has advanced [[w:Bone tumor|bone cancer]]. Her doctors told her the [[w:Disease|disease]] had grown too aggressive for her body to fight alone (see Figure 1). Facing endless [[w:Chemotherapy|chemotherapy]], she felt  [[w:Anxiety|anxious]] and uncertain about the future. Hopelessness weighed heavily on her.

To cope, Brenda turned inward to her spirituality. She practised daily [[w:Meditation|meditation]], using body scans to release tension and reconnect with her body. [[w:Prayer|Prayer]] and [[w:Gratitude|gratitude]] became daily [[w:Ritual|rituals]], helping her notice small moments of meaning even amid suffering. These practices brought calm and a sense of control, allowing her to approach each day with steadier [[w:Emotion|emotions]]. She also found [[w:Social support|support]] in a local spiritual group. Sharing fears with others who understood her journey eased her sense of isolation and offered reassurance.

Over time, [[w:Spirituality|spirituality]] reshaped Brenda’s outlook. She shifted focus from her illness to purpose, connection, and [[w:Personal development|personal growth]]. Each meditation, prayer, and shared story helped her find [[w:Peace|peace]] and maintain [[w:Hope|hope]]. In a life filled with uncertainty, these practices became tools to navigate fear, [[w:Psychological resilience|strengthen resilience]], and preserve [[w:Dignity|dignity]]. Spirituality gave Brenda a framework to face [[w:Suffering|suffering]] without losing herself, and to discover meaning beyond the limits of her illness.

{{RoundBoxBottom}}

Spirituality provides people with a [[wikipedia:Meaning_of_life|sense of meaning]], purpose, and connection that goes beyond the material aspects of life. These shape how people see themselves and their role in the [[w:World|world]]. For some, spirituality supports [[wikipedia:Mental_health|mental health]] and emotional [[wikipedia:Well-being|well-being]] by reducing stress and improving emotion control (Verghese, 2008). For others, it can cause distress, especially when they associate their beliefs with feelings of guilt, punishment, or conflict (Koenig, 2012). 

Psychological theories help explain these mixed effects. [[wikipedia:Carl_Rogers|Carl Rogers']] [[wikipedia:Humanistic_psychology|humanistic approach]] shows that self-actualisation is crucial to personal growth and is often linked to spiritual experiences (Rogers, 1980). [[wikipedia:Maslow's_hierarchy_of_needs|Maslow's hierarchy of needs]] reinforces this by placing transcendence and [[Motivation and emotion/Textbook/Motivation/Self-actualisation|self-actualisation]] at the top of human motivation (Maslow, 1970). This illustrates how spirituality can either ease or hinder {{explain}} development. Together, these ideas demonstrate how spirituality can contribute to an individuals{{g}} mental health and emotional well-being (Louca et al., 2022).

{{RoundBoxTop|theme=11}}
; Focus questions

* What is spirituality? 
* How does spirituality promote emotional well-being through mindfulness, compassion, and forgiveness? 
* How do psychological theories explain the contribution of spirituality to mental health and well-being?
* How does current research support incorporating spirituality into the treatment of psychiatric disorders?

{{RoundBoxBottom}}

==What is spirituality? ==
Spirituality includes a variety of personal held [[w:Belief|beliefs]] and [[w:Experience|experiences]] that involve a deep connection to a higher power or something larger than oneself. It includes a variety of beliefs and life experiences that relate to exploration, meaning, and purpose in the world (Verghese, 2008; Louca et al., 2022). 

[[File:Falun Dafa fifth meditation exercise.jpg|thumb|227x227px|Figure 2. Female {{ic|Why does assumed gender matter here?}} practising meditation]]

'''Important facets of spirituality consist of:'''
* ''Connection'': Feeling a connection to the cosmos, [[nature]], other people, a higher power, or even one's inner self is a common aspect of spirituality. This relationship can give rise to a feeling of understanding and [[w:Community|community]] that goes beyond daily existence (Wong, 2016).
* ''Meaning and purpose'': The search for life's meaning and purpose is frequently linked to spirituality{{f}}. It can offer responses to existential questions like &quot;What is my purpose?&quot; and &quot;Why am I here?&quot; This quest for purpose may shape choices, deeds, and a person's life's path in general (Wong, 2016).
* ''Transcendence:'' Experiences that transcend the [[w:Mundane|mundane]] or material world are often associated with spirituality{{f}}. This might include sensations of amazement, or a profound sense of serenity that comes from marvelling at the immensity of the cosmos, meditating, or having meaningful interactions with other people (Wong, 2016).
* ''[[w:Morality|Morality]] and Values:'' A lot of individuals look to their spiritual beliefs for their [[w:Moral|moral]] guidance and values{{f}}. People's perceptions of right and wrong, behaviour, and interactions with people and the outside environment can all be influenced by their spirituality (Vitell et al., 2015).
* ''Personal Development:'' Seeking self-improvement and personal growth is frequently associated with spirituality{{f}}. This might entail pursuing [[w:Knowledge|knowledge]], developing moral qualities like [[w:Forgiveness|forgiveness]] and [[w:Compassion|compassion]], and making an effort to improve oneself (Wong, 2016).
* ''Practices:'' A variety of activities, including [[yoga]] (see Figure 2), meditation, prayer, rituals, and acts of service, can be used to express spirituality{{f}}. 

Through these activities, people can develop a sense of inner strength, balance, and serenity as well as a deeper connection to their spiritual beliefs{{f}}. Spirituality may be found in many different forms and circumstances, both inside and outside of [[w:Religion|religion]]. It's about each person's path to [[w:Self-awareness|self-awareness]], meaning, and connection {{g}} these journeys can frequently result in improved mental, emotional, and even physical health (Verghese, 2008).

== Emotional regulation and spirituality: The role of mindfulness, compassion, and forgiveness ==
Spiritual activities or actions that involve [[mindfulness]], compassion and forgiveness can also offer important psychological advantages. They help people reduce [[Stress (psychological)|stress]], manage negative emotions, and encourage good emotions. [[w:Psychology|Psychology]] [[w:Research|research]] is increasingly recognising the importance of these spiritual activities in fostering mental and emotional well-being (Hofmann et al., 2010).

=== Mindfulness meditation ===
* With its origins in spiritual [[w:Tradition|traditions]] like [[Buddhism/Introduction|Buddhism]], mindfulness meditation has gained widespread recognition as a useful method in [[w:Psychotherapy|psychological therapy]] for [[w: Emotional self-regulation|regulating emotions]]. Being mindful entails focusing on the here and now while adopting an accepting, non-judgmental [[w:Mindset|mindset]]. People can respond to stress in healthier and more adaptable ways by developing this awareness, which makes them more conscious of their thoughts and feelings (Farb et al., 2007).
* An increasing amount of studies demonstrates how much mindfulness practices help with emotional control. Hofmann et al. (2010, conducted a [[w:Meta-analysis|meta-analysis]] of 39 papers to look at the effects of mindfulness-based treatment on [[wikipedia:Depression_(mood)|depression]] and anxiety. The findings showed that mindfulness plays a critical role in assisting people in controlling their negative emotions by dramatically reducing [[w:Signs and symptoms|symptoms]] of both anxiety and sadness.
* [[wikipedia:Functional_magnetic_resonance_imaging|Functional magnetic resonance imaging (fMRI)]] was employed in a study by Farb et al. (2007) to investigate the [[w:Brain|brain]] processes underlying mindfulness. The study discovered that self-referential processing and emotional regulation-related alterations in brain activity were linked to mindfulness training. Individuals who engaged in mindfulness practices demonstrated improved emotional regulation, especially under pressure, and a higher level of awareness of their emotional states.

=== Compassion ===
* Another essential comp{{f}}onent of many spiritual traditions is compassion, which is acknowledging one's own and other people's pain and acting with kindness and a wish to lessen that suffering. Neff and Germer's (2013) study investigated how a [[wikipedia:Self-compassion|self-compassion]] training programme affected participants' emotional health. According to the study, those who practiced self-compassion showed large improvements in life satisfaction along with significant decreases in stress, anxiety, and despair. By treating oneself with the same consideration and understanding that they would provide to a friend, people who practice self-compassion are able to protect themselves from the damaging effects of stress and foster emotional resilience.

=== Forgiveness ===
* Forgiveness, a practice emphasised in many spiritual traditions, involves letting go of [[wikipedia:Anger|anger]], resentment, and the [[w:Desire|desire]] for [[wikipedia:Revenge|revenge]] toward someone who has caused harm{{f}}. Forgiveness is a powerful tool for emotional regulation, as it allows individuals to release negative emotions and move toward emotional [[w:Healing|healing]] and peace{{f}}. A study by Worthington et al. (2007) reviewed the psychological and physiological effects of forgiveness and found that individuals who practised forgiveness experienced lower levels of stress and improved emotional regulation. The act of forgiveness helps to diminish the emotional burden of holding onto negative emotions, thereby promoting a more balanced and positive emotional state{{f}}.

{{RoundBoxTop|theme=2}}

;Quiz
&lt;quiz display=&quot;simple&quot;&gt;
{Research shows that mindfulness practices can strengthen emotional regulation and reduce symptoms of depression and anxiety:
|type=&quot;()&quot;}
+ True
- False

{Practising compassion has been shown to increase stress and decrease life satisfaction:
|type=&quot;()&quot;}
- True
+ False
&lt;/quiz&gt;

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== Theoretical underpinnings ==
[[File:Carl Ransom Rogers.jpg|thumb|Figure 3. Carl Rogers{{ic|Explain how this relates to spirituality and mental health}}]]

[[w: Theoretical psychology|Psychology's theoretical foundations]] provide insights into the relationship between spirituality and mental health. They show how spiritual practices and beliefs can contribute to psychological and emotional well-being. One of the most influential perspectives is Carl Rogers' humanistic approach, which places a strong emphasis on the idea of self-actualisation (Rusu, 2019) {{ic|Rogers focused on the fully functioning person; Maslow focused on self-actualisation}}. The process of reaching one's full potential and becoming the most authentic version of oneself{{g}}. According to Rogers (see Figure 3), the pursuit of self-actualisation is an intensely personal and unique path on which the person aspires to become their most genuine self (Rusu, 2019). Similarly, Maslow's hierarchy of needs (1970) offers a motivational framework through which spirituality can support multiple levels of human development, from [[w:Belongingness|belongingness]] and esteem to self-actualisation and self-transcendence (see Figure 4). 

=== Carl Rogers' humanistic approach and spirituality ===
Rogers (1961, 1980) argued that psychological well-being stems from self-awareness, [[w:Autonomy|autonomy]], and personal growth, with self-actualisation as the pinnacle of development. Spiritual experiences, such as moments of profound [[w:Insight|insight]] or connection, may foster this process by encouraging individuals to explore values, beliefs and purpose (Guynn, 2021). Practices that nurture compassion, forgiveness, and self-acceptance reflect Rogers' concept of unconditional positive regard, supporting emotional resilience and alignment with authentic ideals. 

Several studies provide evidence that spirituality can support mental health and emotional well-being, though the benefits may be limited and dependent on the context. Baetz and Toews (2009) found that spirituality often promotes emotional coping, emotional regulation and [[w:Social connection|social connectedness]], yet it can also heighten [[w:Mental distress|distress]] when beliefs are experienced as punishing or conflictual. Similarly, Coelho-Júnior et al. (2022) [[w:Systematic review|systematically reviewed]] 102 [[w:Observational study|observational studies]] involving nearly 80,000 older adults. It was found that higher religiosity and spirituality were associated with lower depression and anxiety, greater life satisfaction, enhanced meaning in life and stronger social relationships. These findings are consistent with Roger's humanistic perspective, suggesting that engaging in spiritual practices can foster self-awareness, personal growth, and the pursuit of meaningful goals, thereby supporting both mental and emotional well-being.   

Critically, it is important to recognise that most of the evidence was obtained from observational studies, so causality cannot be assumed. How spirituality is defined also differs across the studies, and outcomes are shaped by [[w:Culture|cultural]] and age-related factors. Overall, Rogers' humanistic framework helps to understand how spirituality can support personal growth and emotional resilience, but these benefits are highly individual and conditional. 

{{RoundBoxTop|theme=2}} 
'''Quiz'''
&lt;quiz display=&quot;simple&quot;&gt;
{Baetz and Toews (2009) suggest that spirituality can sometimes increase distress if beliefs are experienced as punishing or conflictual:
|type=&quot;()&quot;}
+ True
- False

{Rogers’ framework implies that all individuals will benefit equally from spiritual engagement regardless of their cultural or personal context:
|type=&quot;()&quot;}
- True
+ False
&lt;/quiz&gt;

{{RoundBoxBottom}}

=== Maslow's hierarchy of needs and spirituality ===
[[File:Maslow's Hierarchy of Needs Diagram.png|thumb|606x606px|Figure 4. Diagram of Maslow's Hierarchy of Needs]]

Roger's emphasis on personal growth and the experiential nature of self-actualisation closely connect with Maslow's hierarchy of needs (Rogers, 1980). This model (see Figure 4) begins with physiological and safety needs, followed by belonging, esteem, and self-actualisation, with later models also recognising self-transcendence (Maslow, 1970). Spiritual practices, such as participating in communal activities and engaging in personal growth, can support a sense of belonging and enhance self-esteem (Barton &amp; Miller, 2015). Reflecting on meaning and purpose can support self-actualisation and transcendence (Louca et al., 2022). 

A meta-analysis by Yonker et al. (2011) reported small to moderate positive effects of spirituality on well-being (''r'' = 0.16) and self-esteem (''r'' = 0.11). Also noted were reductions in behavioural and depressive symptoms among over 66,000 [[w:Adolescence|adolescents]] and [[w:Emerging adulthood and early adulthood|emerging adults]]. Although effect sizes are relatively small, these results suggest that spiritual engagement contributes positively to psychological development. This study highlighted practices such as attending religious services, engaging in prayer or meditation, and participating in [[w:Volunteering|volunteering]]. By engaging in these practices, individuals can improve their mental health and emotional well-being, moving toward self-actualisation.     

Similarly, not all forms of spirituality have positive effects on well-being. Koenig (2012) warned that negative religious coping, such as viewing illness as a divine punishment or feeling abandoned by a faith community, can increase anxiety and depression. In some vulnerable individuals, it may also lead to [[w:Hallucination|hallucinations]]. Struggles with guilt, or conflict with religious [[w:Institution|institutions]], including experiences of church-related harm or difficulty with forgiveness, are linked to greater psychological distress and [[w:Suicidal ideation|suicidal thoughts]]. Spirituality can sometimes foster a sense of belonging, esteem, and meaning (Koenig, 2012). However, it is not always beneficial, and negative coping or conflicts can worsen mental health and increase psychological distress (Koenig, 2012).     

These findings align with Maslow's framework, indicating that spiritual engagement can be utilised as a practical tool to meet higher-level psychological needs. However, Koenig (2012) highlights that spirituality is not universally beneficial and can have negative contributions to mental health. It's also important to consider that most studies were correlational, and one was observational, which limits causal claims. Effects varied by age, ethnicity, and measurement method (specifically, the definition of spirituality), and most participants were predominantly from Western/Christian geographical locations. This highlights the need to consider sociocultural and individual factors when applying Maslow's model to spirituality's role in mental health and emotional well-being.

== Mechanisms linking spirituality and mental health ==
[[File:Изображение галлюцинации, сгенирированное нейросетью.jpg|thumb|2250x2250px|'''Figure 5'''. An AI-generated, metaphorical depiction of a visual hallucination, illustrating how perceptual experiences in psychosis may be vivid, distorted, and subjectively meaningful (e.g., interpreted through spiritual or religious beliefs).|right]]

For people with psychiatric disorders, spirituality can provide meaning, hope, and resilience (Shahina &amp; Parven, 2020). At the same time, spiritual experiences can overlap with symptoms of [[wikipedia:Schizophrenia|schizophrenia]], such as hallucinations (see Figure 5; Westhead &amp; Georgiades, 2025). Research highlights both the potential benefits and risks of incorporating spirituality as a treatment tool for psychiatric disorders.

Starnino’s (2016) qualitative [[wikipedia:Case_study|case study]] used a hermeneutic phenomenological approach to gain an in-depth understanding of the relationship between spirituality and mental health. The study carefully examined the experiences of two individuals (James and Helen) with severe [[wikipedia:Psychological_trauma|traumatic experiences]] and psychiatric conditions like schizophrenia. To help manage his symptoms, James practices spiritual activities such as meditation, prayer, and creating artwork. However, he noted that his spiritual beliefs were also closely linked to his [[wikipedia:Psychosis|psychotic]] symptoms. Specifically, the voices he kept hearing were interpreted as “[[wikipedia:Demon|demons]]”, telling him he “is in a battle of good vs evil” (Starnino, 2016). The case illustrates how spirituality can act as a coping mechanism while also potentially reinforcing psychotic experiences. It highlights the importance of clinical consideration when spirituality and mental health intersect.

Similarly, a study by Weisman de Mamani et al. (2010) investigated the spirituality in [[wikipedia:Psychotherapy|psychotherapy]] for patients with schizophrenia from [[w:Minority group|minority populations]] in the [[wikipedia:United_States|United States]]. Positive effects were observed with religious coping strategies, including practices such as prayer, meditation, and listening to spiritual music. These practices led to a reduction in patient symptoms, improved stress management, increased hope, and a greater sense of meaning in life. Negative outcomes occurred when spiritual beliefs intensified psychotic symptoms. Examples include interpreting hallucinations as direct messages from God or viewing mental illness as punishment. 

Together, these studies demonstrate that spirituality contributes to mental health outcomes in complex ways. Critically, these findings reinforce the importance of understanding individual experiences. [[w:Clinician|Clinicians]] also need to consider the nature of the psychiatric symptoms before integrating spiritual practices into treatment. Without careful assessment, spiritual practices can contribute to negative mental health outcomes such as hallucinations.

{{RoundBoxTop|theme=5}}
'''Case study'''
[[File:Helping the homeless.jpg|thumb|'''Figure 6'''. Two women are helping a homeless man by donating items to him.]]

Helen is a 42-year-old [[w:Christians|Christian]] female with a history of severe trauma and schizoaffective disorder. She was raised with a strict view of God. As a result, she viewed her life through a religious lens. In her teenage years, she was sexually abused by a [[w:Family|family]] member. She believed this was punishment from God because she “had [[w:Sin|sinned]] in some way&quot; (Starnino, 2016, p. 376).

In her early 20s, Helen began to experience hallucinations and voices paired with [[w:Flashback (psychology)|flashbacks]] of the abuse. She said, “I heard voices saying that I was selected ... I believed I deserved what was happening to me&quot; (Starnino, 2016, p. 376). During this period, she attempted [[w:Suicide|suicide]] and was hospitalised numerous times.

Ten years ago, after psychiatric hospitalisation, Helen began exploring spiritual practices with the guidance of a therapist. This helped her let go of early ideas of religion that reinforced [[w:Self-blame (psychology)|self-blame]]. She reflected, “[In the past] I would think ‘Well, I am separate and I am different because I have these challenges and the mental illness,’ and then I realized that everybody has something that they’re struggling with&quot; (Starnino, 2016, p. 380). She now views herself as “part of the universe, as part of humanity,” (Starnino, 2016, p. 380) which has supported her in meaning-making and positive adaptation.

Her new meaning in life derives from connection and growth. She said, “Before I would think, ‘God doesn’t like me.’ Now I see myself as being part of a greater, higher power that sort of makes me part of humanity&quot; (Starnino, 2016, p. 380). She also expressed belief in reincarnation, saying, “I do believe that when you die your spirit goes on to another adventure and you continue to work on what you’re supposed to learn&quot; (Starnino, 2016, p. 380). 

Currently, Helen employs spiritual coping mechanisms, including meditation, gratitude journaling, and time spent in nature, to support her well-being (Starnino, 2016, p. 381). She now finds purpose in advocacy and peer support, stating, “I found out that there is a purpose in my life and I can do things that I thought I couldn’t do before, and I can help other people&quot;(see Figure 6; Starnino, 2016, p. 381).  Helen’s story shows how spirituality can complicate recovery when linked to trauma and [[w:Psychosis|psychosis]], yet also play a vital role in reframing suffering, fostering resilience, and building a meaningful life (Starnino, 2016).

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==Conclusion==
Spirituality has a significant role in supporting mental health and emotional wellbeing. It provides a sense of meaning, purpose, and connection. Engaging in spiritual practices helps individuals manage emotions, reduce stress, and build resilience. Mindfulness and meditation, enhance awareness of thoughts and feelings, improve emotional regulation, and can reduce anxiety and depression (Farb et al., 2007; Hofmann et al., 2010).  Compassion and self-compassion strengthen resilience and life satisfaction (Neff &amp; Germer, 2013), while forgiveness reduces anger and stress, supporting emotional well-being (Worthington, 2007).

Humanistic theories, including Rogers’ (1980) focus on self-actualisation and Maslow’s hierarchy of needs, highlight how spirituality encourages personal growth and the pursuit of higher-level psychological needs (Louca et al., 2022). Case studies show spirituality can serve as a coping tool, offering comfort and resilience. However, it can also pose risks, particularly when linked to trauma or psychotic symptoms (Starnino, 2016; Weisman de Mamani et al., 2010).

Critiques emphasise that spirituality is not universally beneficial. Its effects vary depending on individual context, personal history, and cultural background. Evidence is mostly drawn from Westernised populations, which may not generalise to Eastern or alternative spiritual practices. Defining and measuring spirituality remains challenging, limiting research consistency. Engagement should be tailored to the individual, and avoid obsession to the beliefs.

The key message is that spirituality can support mental health when approached carefully. It offers tools for emotional regulation, meaning-making, and personal growth. Awareness of potential risks and cultural differences is essential. For personal development, selective and balanced engagement with spiritual practices can enhance resilience, wellbeing and mental health. 

==See also ==
* [[Motivation and emotion/Book/2023/Growth mindset and mental health|Growth mindset and mental health]] (Book chapter, 2023)
* [[w:Self determination theory|Self determination theory]] (Wikipedia)
* [[Motivation and emotion/Book/2011/Spiritual and religious motivation|Spiritual and religious motivation]] (Book Chapter, 2011) 

==References ==
{{Hanging indent|1=

Baetz M, Toews J. Clinical implications of research on religion, spirituality, and mental health. ''Canadian Journal of Psychiatry, 54''(5):292-301. [https://doi.org/10.1177/070674370905400503 https://doi.org/10.1177/070674370905400503] 

Barton, Y. A., &amp; Miller, L. (2015). Spirituality and positive psychology go hand in hand: An investigation of multiple empirically derived profiles and related protective benefits. ''Journal of Religion and Health, 54'', 829–843. [https://doi.org/10.1007/s10943-015-0045-2 https://doi.org/10.1007/s10943-015-0045-2]

Coelho-Júnior, H. J., Calvani, R., Panza, F., Allegri, R. F., Picca, A., Marzetti, E., &amp; Alves, V. P. (2022). Religiosity/spirituality and mental Health in older adults: A systematic review and meta-analysis of observational studies. ''Frontiers in Medicine, 9''. [https://doi.org/10.3389/fmed.2022.877213 https://doi.org/10.3389/fmed.2022.877213]

De Mamani, A. G. W., Tuchman, N., &amp; Duarte, E. A. (2010). Incorporating religion/spirituality into treatment for serious mental illness. ''Cognitive and Behavioral Practice, 17''(4), 348–357. [https://doi.org/10.1016/j.cbpra.2009.05.003 https://doi.org/10.1016/j.cbpra.2009.05.003] 

Farb, N. A. S., Segal, Z. V., Mayberg, H., Bean, J., McKeon, D., Fatima, Z., &amp; Anderson, A. K. (2007). Attending to the present: mindfulness meditation reveals distinct neural modes of self-reference. ''Social Cognitive and Affective Neuroscience, 2''(4), 313–322. [https://doi.org/10.1093/scan/nsm030 https://doi.org/10.1093/scan/nsm030]

Guynn, M. (2021). The art of actualization. ''Curiosity Interdisciplinary Journal of Research and Innovation''. [https://doi.org/10.36898/001c.28094 https://doi.org/10.36898/001c.28094]

Hofmann, S. G., Sawyer, A. T., Witt, A. A., &amp; Oh, D. (2010). The effect of mindfulness-based therapy on anxiety and depression: A meta-analytic review. ''Journal of Consulting and Clinical Psychology, 78''(2), 169–183.

Koenig, H. G. (2010). Spirituality and mental health. ''International Journal of Applied Psychoanalytic Studies, 7''(2), 116–122. [https://doi.org/10.1002/aps.239 https://doi.org/10.1002/aps.239]

Louca, E. P., Esmailnia, S., &amp; Thoma, N. (2022). Spirituality of the developing person according to Maslow. ''New Ideas in Psychology, 69'', 100994. [https://doi.org/10.1016/j.newideapsych.2022.100994 https://doi.org/10.1016/j.newideapsych.2022.100994]

Maslow, A. H. (1970). ''Motivation and personality'' (2nd ed.). Harper &amp; Row.

Neff, K. D., &amp; Germer, C. K. (2013). A pilot study and randomized controlled trial of the mindful self-compassion program. ''Journal of Clinical Psychology, 69''(1), 28–44.

Papaleontiou–Louca, E., Esmailnia, S., &amp; Thoma, N. (2021). A critical review of Maslow’s theory of spirituality. ''Journal of Spirituality in Mental Health, 24''(4), 327–343. [https://doi.org/10.1080/19349637.2021.1932694 https://doi.org/10.1080/19349637.2021.1932694]

Rogers, C. R. (1961). ''On becoming a person: A therapist's view of psychotherapy''. Boston: Houghton Mifflin Harcourt.

Rogers, C. R. (1980). ''A way of being''. Boston: Houghton Mifflin Harcourt.

Rusu, M. (2019). The process of self-realization—from the humanist psychology perspective. ''Psychology, 10''(08), 1095–1115. [https://doi.org/10.4236/psych.2019.108071 https://doi.org/10.4236/psych.2019.108071]

Shahina, G., &amp; Parveen, A. (2020). Role of spirituality in building up resilience and mental health among adolescents. ''Indian Journal of Positive Psychology, 11''(4).  

Starnino, V. R. (2016). When trauma, spirituality, and mental illness intersect: A qualitative case study. ''Psychological Trauma Theory Research Practice and Policy, 8''(3), 375–383 [https://psycnet.apa.org/doi/10.1037/tra0000105 https://psycnet.apa.org/doi/10.1037/tra0000105]

Verghese, A. (2008). Spirituality and mental health.''Indian Journal of Psychiatry, 50''(4), 233–237. [https://doi.org/10.4103/0019-5545.44742 https://doi.org/10.4103/0019-5545.44742]

Vitell, S. J., King, R. A., Howie, K., Toti, J., Albert, L., Hidalgo, E. R., &amp; Yacout, O. (2015). Spirituality, moral identity, and consumer ethics: A multi-cultural study. ''Journal of Business Ethics, 139''(1), 147–160. [https://doi.org/10.1007/s10551-015-2626-0 https://doi.org/10.1007/s10551-015-2626-0]

Westhead, M., &amp; Georgiades, A. (2025). The role of spirituality and religiosity in the maintenance and recovery of psychosis: A systematic review. ''Early Intervention in Psychiatry, 19''(7). [https://doi.org/10.1111/eip.70061 https://doi.org/10.1111/eip.70061] 

Wong, P. T. P. (2016). Meaning-seeking, self-transcendence, and well-being. In A. Batthyány (Ed.), ''Logotherapy and existential analysis: Proceedings of the Viktor Frankl Institute Vienna'' (Vol. 1,pp. 311–321). [https://doi.org/10.1007/978-3-319-29424-7%2027 https://doi.org/10.1007/978-3-319-29424-7_27]

Worthington, E. L., Van Oyen Witvliet, C., Pietrini, P., &amp; Miller, A. J. (2007). Forgiveness, health, and well-being: A review of evidence for emotional versus decisional forgiveness, dispositional forgivingness, and reduced unforgiveness. ''Journal of Behavioral Medicine, 30''(4), 291–302. [https://doi.org/10.1007/s10865-007-9105-8 https://doi.org/10.1007/s10865-007-9105-8]

Yonker, J. E., Schnabelrauch, C. A., &amp; DeHaan, L. G. (2011). The relationship between spirituality and religiosity on psychological outcomes in adolescents and emerging adults: A meta‐analytic review. ''Journal of Adolescence, 35''(2), 299–314. [https://doi.org/10.1016/j.adolescence.2011.08.010 https://doi.org/10.1016/j.adolescence.2011.08.010]

}}

==External links==
* [https://www.abc.net.au/listen/programs/godforbid/a-prayer-or-a-pill-exploring-mental-health-science-and-religion/14100642 ABC Radio National: A prayer or pill? Exploring mental health science and religion] (abc.net.au)
* [https://www.rcpsych.ac.uk/mental-health/treatments-and-wellbeing/spirituality-and-mental-health Spiritual health care] (rcpsych.ac.uk)
* [https://www.youtube.com/watch?v=lWePaMgaVZg What is Spirituality?] (YouTube)

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== Overview ==
{{RoundBoxTop|theme=8}} 
[[File:Doctor with Patient Cartoon.svg|thumb|'''Figure 1'''. A doctor consulting a patient.{{ic|Explain how this relates to spirituality and mental health or the scenario}}]]

;Scenario 

Brenda has advanced [[w:Bone tumor|bone cancer]]. Her doctors told her the [[w:Disease|disease]] had grown too aggressive for her body to fight alone (see Figure 1). Facing endless [[w:Chemotherapy|chemotherapy]], she felt  [[w:Anxiety|anxious]] and uncertain about the future. Hopelessness weighed heavily on her.

To cope, Brenda turned inward to her spirituality. She practised daily [[w:Meditation|meditation]], using body scans to release tension and reconnect with her body. [[w:Prayer|Prayer]] and [[w:Gratitude|gratitude]] became daily [[w:Ritual|rituals]], helping her notice small moments of meaning even amid suffering. These practices brought calm and a sense of control, allowing her to approach each day with steadier [[w:Emotion|emotions]]. She also found [[w:Social support|support]] in a local spiritual group. Sharing fears with others who understood her journey eased her sense of isolation and offered reassurance.

Over time, [[w:Spirituality|spirituality]] reshaped Brenda’s outlook. She shifted focus from her illness to purpose, connection, and [[w:Personal development|personal growth]]. Each meditation, prayer, and shared story helped her find [[w:Peace|peace]] and maintain [[w:Hope|hope]]. In a life filled with uncertainty, these practices became tools to navigate fear, [[w:Psychological resilience|strengthen resilience]], and preserve [[w:Dignity|dignity]]. Spirituality gave Brenda a framework to face [[w:Suffering|suffering]] without losing herself, and to discover meaning beyond the limits of her illness.

{{RoundBoxBottom}}

Spirituality provides people with a [[wikipedia:Meaning_of_life|sense of meaning]], purpose, and connection that goes beyond the material aspects of life. These shape how people see themselves and their role in the [[w:World|world]]. For some, spirituality supports [[wikipedia:Mental_health|mental health]] and emotional [[wikipedia:Well-being|well-being]] by reducing stress and improving emotion control (Verghese, 2008). For others, it can cause distress, especially when they associate their beliefs with feelings of guilt, punishment, or conflict (Koenig, 2012). 

Psychological theories help explain these mixed effects. [[wikipedia:Carl_Rogers|Carl Rogers']] [[wikipedia:Humanistic_psychology|humanistic approach]] shows that self-actualisation is crucial to personal growth and is often linked to spiritual experiences (Rogers, 1980). [[wikipedia:Maslow's_hierarchy_of_needs|Maslow's hierarchy of needs]] reinforces this by placing transcendence and [[Motivation and emotion/Textbook/Motivation/Self-actualisation|self-actualisation]] at the top of human motivation (Maslow, 1970). This illustrates how spirituality can either ease or hinder {{explain}} development. Together, these ideas demonstrate how spirituality can contribute to an individuals{{g}} mental health and emotional well-being (Louca et al., 2022).

{{RoundBoxTop|theme=11}}
; Focus questions

* What is spirituality? 
* How does spirituality promote emotional well-being through mindfulness, compassion, and forgiveness? 
* How do psychological theories explain the contribution of spirituality to mental health and well-being?
* How does current research support incorporating spirituality into the treatment of psychiatric disorders?

{{RoundBoxBottom}}

==What is spirituality? ==
Spirituality includes a variety of personal held [[w:Belief|beliefs]] and [[w:Experience|experiences]] that involve a deep connection to a higher power or something larger than oneself. It includes a variety of beliefs and life experiences that relate to exploration, meaning, and purpose in the world (Verghese, 2008; Louca et al., 2022). 

[[File:Falun Dafa fifth meditation exercise.jpg|thumb|227x227px|Figure 2. Female {{ic|Why does assumed gender matter here?}} practising meditation]]

'''Important facets of spirituality consist of:'''
* ''Connection'': Feeling a connection to the cosmos, [[nature]], other people, a higher power, or even one's inner self is a common aspect of spirituality. This relationship can give rise to a feeling of understanding and [[w:Community|community]] that goes beyond daily existence (Wong, 2016).
* ''Meaning and purpose'': The search for life's meaning and purpose is frequently linked to spirituality{{f}}. It can offer responses to existential questions like &quot;What is my purpose?&quot; and &quot;Why am I here?&quot; This quest for purpose may shape choices, deeds, and a person's life's path in general (Wong, 2016).
* ''Transcendence:'' Experiences that transcend the [[w:Mundane|mundane]] or material world are often associated with spirituality{{f}}. This might include sensations of amazement, or a profound sense of serenity that comes from marvelling at the immensity of the cosmos, meditating, or having meaningful interactions with other people (Wong, 2016).
* ''[[w:Morality|Morality]] and Values:'' A lot of individuals look to their spiritual beliefs for their [[w:Moral|moral]] guidance and values{{f}}. People's perceptions of right and wrong, behaviour, and interactions with people and the outside environment can all be influenced by their spirituality (Vitell et al., 2015).
* ''Personal Development:'' Seeking self-improvement and personal growth is frequently associated with spirituality{{f}}. This might entail pursuing [[w:Knowledge|knowledge]], developing moral qualities like [[w:Forgiveness|forgiveness]] and [[w:Compassion|compassion]], and making an effort to improve oneself (Wong, 2016).
* ''Practices:'' A variety of activities, including [[yoga]] (see Figure 2), meditation, prayer, rituals, and acts of service, can be used to express spirituality{{f}}. 

Through these activities, people can develop a sense of inner strength, balance, and serenity as well as a deeper connection to their spiritual beliefs{{f}}. Spirituality may be found in many different forms and circumstances, both inside and outside of [[w:Religion|religion]]. It's about each person's path to [[w:Self-awareness|self-awareness]], meaning, and connection {{g}} these journeys can frequently result in improved mental, emotional, and even physical health (Verghese, 2008).

== Emotional regulation and spirituality: The role of mindfulness, compassion, and forgiveness ==
Spiritual activities or actions that involve [[mindfulness]], compassion and forgiveness can also offer important psychological advantages. They help people reduce [[Stress (psychological)|stress]], manage negative emotions, and encourage good emotions. [[w:Psychology|Psychology]] [[w:Research|research]] is increasingly recognising the importance of these spiritual activities in fostering mental and emotional well-being (Hofmann et al., 2010).

=== Mindfulness meditation ===
* With its origins in spiritual [[w:Tradition|traditions]] like [[Buddhism/Introduction|Buddhism]], mindfulness meditation has gained widespread recognition as a useful method in [[w:Psychotherapy|psychological therapy]] for [[w: Emotional self-regulation|regulating emotions]]. Being mindful entails focusing on the here and now while adopting an accepting, non-judgmental [[w:Mindset|mindset]]. People can respond to stress in healthier and more adaptable ways by developing this awareness, which makes them more conscious of their thoughts and feelings (Farb et al., 2007).
* An increasing amount of studies demonstrates how much mindfulness practices help with emotional control. Hofmann et al. (2010, conducted a [[w:Meta-analysis|meta-analysis]] of 39 papers to look at the effects of mindfulness-based treatment on [[wikipedia:Depression_(mood)|depression]] and anxiety. The findings showed that mindfulness plays a critical role in assisting people in controlling their negative emotions by dramatically reducing [[w:Signs and symptoms|symptoms]] of both anxiety and sadness.
* [[wikipedia:Functional_magnetic_resonance_imaging|Functional magnetic resonance imaging (fMRI)]] was employed in a study by Farb et al. (2007) to investigate the [[w:Brain|brain]] processes underlying mindfulness. The study discovered that self-referential processing and emotional regulation-related alterations in brain activity were linked to mindfulness training. Individuals who engaged in mindfulness practices demonstrated improved emotional regulation, especially under pressure, and a higher level of awareness of their emotional states.

=== Compassion ===
* Another essential comp{{f}}onent of many spiritual traditions is compassion, which is acknowledging one's own and other people's pain and acting with kindness and a wish to lessen that suffering. Neff and Germer's (2013) study investigated how a [[wikipedia:Self-compassion|self-compassion]] training programme affected participants' emotional health. According to the study, those who practiced self-compassion showed large improvements in life satisfaction along with significant decreases in stress, anxiety, and despair. By treating oneself with the same consideration and understanding that they would provide to a friend, people who practice self-compassion are able to protect themselves from the damaging effects of stress and foster emotional resilience.

=== Forgiveness ===
* Forgiveness, a practice emphasised in many spiritual traditions, involves letting go of [[wikipedia:Anger|anger]], resentment, and the [[w:Desire|desire]] for [[wikipedia:Revenge|revenge]] toward someone who has caused harm{{f}}. Forgiveness is a powerful tool for emotional regulation, as it allows individuals to release negative emotions and move toward emotional [[w:Healing|healing]] and peace{{f}}. A study by Worthington et al. (2007) reviewed the psychological and physiological effects of forgiveness and found that individuals who practised forgiveness experienced lower levels of stress and improved emotional regulation. The act of forgiveness helps to diminish the emotional burden of holding onto negative emotions, thereby promoting a more balanced and positive emotional state{{f}}.

{{RoundBoxTop|theme=2}}

;Quiz
&lt;quiz display=&quot;simple&quot;&gt;
{Research shows that mindfulness practices can strengthen emotional regulation and reduce symptoms of depression and anxiety:
|type=&quot;()&quot;}
+ True
- False

{Practising compassion has been shown to increase stress and decrease life satisfaction:
|type=&quot;()&quot;}
- True
+ False
&lt;/quiz&gt;

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== Theoretical underpinnings ==
[[File:Carl Ransom Rogers.jpg|thumb|Figure 3. Carl Rogers{{ic|Explain how this relates to spirituality and mental health}}]]

[[w: Theoretical psychology|Psychology's theoretical foundations]] provide insights into the relationship between spirituality and mental health. They show how spiritual practices and beliefs can contribute to psychological and emotional well-being. One of the most influential perspectives is Carl Rogers' humanistic approach, which places a strong emphasis on the idea of self-actualisation (Rusu, 2019) {{ic|Rogers focused on the fully functioning person; Maslow focused on self-actualisation}}. The process of reaching one's full potential and becoming the most authentic version of oneself{{g}}. According to Rogers (see Figure 3), the pursuit of self-actualisation is an intensely personal and unique path on which the person aspires to become their most genuine self (Rusu, 2019). Similarly, Maslow's hierarchy of needs (1970) offers a motivational framework through which spirituality can support multiple levels of human development, from [[w:Belongingness|belongingness]] and esteem to self-actualisation and self-transcendence (see Figure 4). 

=== Carl Rogers' humanistic approach and spirituality ===
Rogers (1961, 1980) argued that psychological well-being stems from self-awareness, [[w:Autonomy|autonomy]], and personal growth, with self-actualisation as the pinnacle of development. Spiritual experiences, such as moments of profound [[w:Insight|insight]] or connection, may foster this process by encouraging individuals to explore values, beliefs and purpose (Guynn, 2021). Practices that nurture compassion, forgiveness, and self-acceptance reflect Rogers' concept of unconditional positive regard, supporting emotional resilience and alignment with authentic ideals. 

Several studies provide evidence that spirituality can support mental health and emotional well-being, though the benefits may be limited and dependent on the context. Baetz and Toews (2009) found that spirituality often promotes emotional coping, emotional regulation and [[w:Social connection|social connectedness]], yet it can also heighten [[w:Mental distress|distress]] when beliefs are experienced as punishing or conflictual. Similarly, Coelho-Júnior et al. (2022) [[w:Systematic review|systematically reviewed]] 102 [[w:Observational study|observational studies]] involving nearly 80,000 older adults. It was found that higher religiosity and spirituality were associated with lower depression and anxiety, greater life satisfaction, enhanced meaning in life and stronger social relationships. These findings are consistent with Roger's humanistic perspective, suggesting that engaging in spiritual practices can foster self-awareness, personal growth, and the pursuit of meaningful goals, thereby supporting both mental and emotional well-being.   

Critically, it is important to recognise that most of the evidence was obtained from observational studies, so causality cannot be assumed. How spirituality is defined also differs across the studies, and outcomes are shaped by [[w:Culture|cultural]] and age-related factors. Overall, Rogers' humanistic framework helps to understand how spirituality can support personal growth and emotional resilience, but these benefits are highly individual and conditional. 

{{RoundBoxTop|theme=2}} 
'''Quiz'''
&lt;quiz display=&quot;simple&quot;&gt;
{Baetz and Toews (2009) suggest that spirituality can sometimes increase distress if beliefs are experienced as punishing or conflictual:
|type=&quot;()&quot;}
+ True
- False

{Rogers’ framework implies that all individuals will benefit equally from spiritual engagement regardless of their cultural or personal context:
|type=&quot;()&quot;}
- True
+ False
&lt;/quiz&gt;

{{RoundBoxBottom}}

=== Maslow's hierarchy of needs and spirituality ===
[[File:Maslow's Hierarchy of Needs Diagram.png|thumb|606x606px|Figure 4. Diagram of Maslow's Hierarchy of Needs]]

Roger's emphasis on personal growth and the experiential nature of self-actualisation closely connect with Maslow's hierarchy of needs (Rogers, 1980). This model (see Figure 4) begins with physiological and safety needs, followed by belonging, esteem, and self-actualisation, with later models also recognising self-transcendence (Maslow, 1970). Spiritual practices, such as participating in communal activities and engaging in personal growth, can support a sense of belonging and enhance self-esteem (Barton &amp; Miller, 2015). Reflecting on meaning and purpose can support self-actualisation and transcendence (Louca et al., 2022). 

A meta-analysis by Yonker et al. (2011) reported small to moderate positive effects of spirituality on well-being (''r'' = 0.16) and self-esteem (''r'' = 0.11). Also noted were reductions in behavioural and depressive symptoms among over 66,000 [[w:Adolescence|adolescents]] and [[w:Emerging adulthood and early adulthood|emerging adults]]. Although effect sizes are relatively small, these results suggest that spiritual engagement contributes positively to psychological development. This study highlighted practices such as attending religious services, engaging in prayer or meditation, and participating in [[w:Volunteering|volunteering]]. By engaging in these practices, individuals can improve their mental health and emotional well-being, moving toward self-actualisation.     

Similarly, not all forms of spirituality have positive effects on well-being. Koenig (2012) warned that negative religious coping, such as viewing illness as a divine punishment or feeling abandoned by a faith community, can increase anxiety and depression. In some vulnerable individuals, it may also lead to [[w:Hallucination|hallucinations]]. Struggles with guilt, or conflict with religious [[w:Institution|institutions]], including experiences of church-related harm or difficulty with forgiveness, are linked to greater psychological distress and [[w:Suicidal ideation|suicidal thoughts]]. Spirituality can sometimes foster a sense of belonging, esteem, and meaning (Koenig, 2012). However, it is not always beneficial, and negative coping or conflicts can worsen mental health and increase psychological distress (Koenig, 2012).     

These findings align with Maslow's framework, indicating that spiritual engagement can be utilised as a practical tool to meet higher-level psychological needs. However, Koenig (2012) highlights that spirituality is not universally beneficial and can have negative contributions to mental health. It's also important to consider that most studies were correlational, and one was observational, which limits causal claims. Effects varied by age, ethnicity, and measurement method (specifically, the definition of spirituality), and most participants were predominantly from Western/Christian geographical locations. This highlights the need to consider sociocultural and individual factors when applying Maslow's model to spirituality's role in mental health and emotional well-being.

== Mechanisms linking spirituality and mental health ==
[[File:Изображение галлюцинации, сгенирированное нейросетью.jpg|thumb|225x225px|'''Figure 5'''. An AI-generated, metaphorical depiction of a visual hallucination, illustrating how perceptual experiences in psychosis may be vivid, distorted, and subjectively meaningful (e.g., interpreted through spiritual or religious beliefs).|right]]

For people with psychiatric disorders, spirituality can provide meaning, hope, and resilience (Shahina &amp; Parven, 2020). At the same time, spiritual experiences can overlap with symptoms of [[wikipedia:Schizophrenia|schizophrenia]], such as hallucinations (see Figure 5; Westhead &amp; Georgiades, 2025). Research highlights both the potential benefits and risks of incorporating spirituality as a treatment tool for psychiatric disorders.

Starnino’s (2016) qualitative [[wikipedia:Case_study|case study]] used a hermeneutic phenomenological approach to gain an in-depth understanding of the relationship between spirituality and mental health. The study carefully examined the experiences of two individuals (James and Helen) with severe [[wikipedia:Psychological_trauma|traumatic experiences]] and psychiatric conditions like schizophrenia. To help manage his symptoms, James practices spiritual activities such as meditation, prayer, and creating artwork. However, he noted that his spiritual beliefs were also closely linked to his [[wikipedia:Psychosis|psychotic]] symptoms. Specifically, the voices he kept hearing were interpreted as “[[wikipedia:Demon|demons]]”, telling him he “is in a battle of good vs evil” (Starnino, 2016). The case illustrates how spirituality can act as a coping mechanism while also potentially reinforcing psychotic experiences. It highlights the importance of clinical consideration when spirituality and mental health intersect.

Similarly, a study by Weisman de Mamani et al. (2010) investigated the spirituality in [[wikipedia:Psychotherapy|psychotherapy]] for patients with schizophrenia from [[w:Minority group|minority populations]] in the [[wikipedia:United_States|United States]]. Positive effects were observed with religious coping strategies, including practices such as prayer, meditation, and listening to spiritual music. These practices led to a reduction in patient symptoms, improved stress management, increased hope, and a greater sense of meaning in life. Negative outcomes occurred when spiritual beliefs intensified psychotic symptoms. Examples include interpreting hallucinations as direct messages from God or viewing mental illness as punishment. 

Together, these studies demonstrate that spirituality contributes to mental health outcomes in complex ways. Critically, these findings reinforce the importance of understanding individual experiences. [[w:Clinician|Clinicians]] also need to consider the nature of the psychiatric symptoms before integrating spiritual practices into treatment. Without careful assessment, spiritual practices can contribute to negative mental health outcomes such as hallucinations.

{{RoundBoxTop|theme=5}}
'''Case study'''
[[File:Helping the homeless.jpg|thumb|'''Figure 6'''. Two women are helping a homeless man by donating items to him.]]

Helen is a 42-year-old [[w:Christians|Christian]] female with a history of severe trauma and schizoaffective disorder. She was raised with a strict view of God. As a result, she viewed her life through a religious lens. In her teenage years, she was sexually abused by a [[w:Family|family]] member. She believed this was punishment from God because she “had [[w:Sin|sinned]] in some way&quot; (Starnino, 2016, p. 376).

In her early 20s, Helen began to experience hallucinations and voices paired with [[w:Flashback (psychology)|flashbacks]] of the abuse. She said, “I heard voices saying that I was selected ... I believed I deserved what was happening to me&quot; (Starnino, 2016, p. 376). During this period, she attempted [[w:Suicide|suicide]] and was hospitalised numerous times.

Ten years ago, after psychiatric hospitalisation, Helen began exploring spiritual practices with the guidance of a therapist. This helped her let go of early ideas of religion that reinforced [[w:Self-blame (psychology)|self-blame]]. She reflected, “[In the past] I would think ‘Well, I am separate and I am different because I have these challenges and the mental illness,’ and then I realized that everybody has something that they’re struggling with&quot; (Starnino, 2016, p. 380). She now views herself as “part of the universe, as part of humanity,” (Starnino, 2016, p. 380) which has supported her in meaning-making and positive adaptation.

Her new meaning in life derives from connection and growth. She said, “Before I would think, ‘God doesn’t like me.’ Now I see myself as being part of a greater, higher power that sort of makes me part of humanity&quot; (Starnino, 2016, p. 380). She also expressed belief in reincarnation, saying, “I do believe that when you die your spirit goes on to another adventure and you continue to work on what you’re supposed to learn&quot; (Starnino, 2016, p. 380). 

Currently, Helen employs spiritual coping mechanisms, including meditation, gratitude journaling, and time spent in nature, to support her well-being (Starnino, 2016, p. 381). She now finds purpose in advocacy and peer support, stating, “I found out that there is a purpose in my life and I can do things that I thought I couldn’t do before, and I can help other people&quot;(see Figure 6; Starnino, 2016, p. 381).  Helen’s story shows how spirituality can complicate recovery when linked to trauma and [[w:Psychosis|psychosis]], yet also play a vital role in reframing suffering, fostering resilience, and building a meaningful life (Starnino, 2016).

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==Conclusion==
Spirituality has a significant role in supporting mental health and emotional wellbeing. It provides a sense of meaning, purpose, and connection. Engaging in spiritual practices helps individuals manage emotions, reduce stress, and build resilience. Mindfulness and meditation, enhance awareness of thoughts and feelings, improve emotional regulation, and can reduce anxiety and depression (Farb et al., 2007; Hofmann et al., 2010).  Compassion and self-compassion strengthen resilience and life satisfaction (Neff &amp; Germer, 2013), while forgiveness reduces anger and stress, supporting emotional well-being (Worthington, 2007).

Humanistic theories, including Rogers’ (1980) focus on self-actualisation and Maslow’s hierarchy of needs, highlight how spirituality encourages personal growth and the pursuit of higher-level psychological needs (Louca et al., 2022). Case studies show spirituality can serve as a coping tool, offering comfort and resilience. However, it can also pose risks, particularly when linked to trauma or psychotic symptoms (Starnino, 2016; Weisman de Mamani et al., 2010).

Critiques emphasise that spirituality is not universally beneficial. Its effects vary depending on individual context, personal history, and cultural background. Evidence is mostly drawn from Westernised populations, which may not generalise to Eastern or alternative spiritual practices. Defining and measuring spirituality remains challenging, limiting research consistency. Engagement should be tailored to the individual, and avoid obsession to the beliefs.

The key message is that spirituality can support mental health when approached carefully. It offers tools for emotional regulation, meaning-making, and personal growth. Awareness of potential risks and cultural differences is essential. For personal development, selective and balanced engagement with spiritual practices can enhance resilience, wellbeing and mental health. 

==See also ==
* [[Motivation and emotion/Book/2023/Growth mindset and mental health|Growth mindset and mental health]] (Book chapter, 2023)
* [[w:Self determination theory|Self determination theory]] (Wikipedia)
* [[Motivation and emotion/Book/2011/Spiritual and religious motivation|Spiritual and religious motivation]] (Book Chapter, 2011) 

==References ==
{{Hanging indent|1=

Baetz M, Toews J. Clinical implications of research on religion, spirituality, and mental health. ''Canadian Journal of Psychiatry, 54''(5):292-301. [https://doi.org/10.1177/070674370905400503 https://doi.org/10.1177/070674370905400503] 

Barton, Y. A., &amp; Miller, L. (2015). Spirituality and positive psychology go hand in hand: An investigation of multiple empirically derived profiles and related protective benefits. ''Journal of Religion and Health, 54'', 829–843. [https://doi.org/10.1007/s10943-015-0045-2 https://doi.org/10.1007/s10943-015-0045-2]

Coelho-Júnior, H. J., Calvani, R., Panza, F., Allegri, R. F., Picca, A., Marzetti, E., &amp; Alves, V. P. (2022). Religiosity/spirituality and mental Health in older adults: A systematic review and meta-analysis of observational studies. ''Frontiers in Medicine, 9''. [https://doi.org/10.3389/fmed.2022.877213 https://doi.org/10.3389/fmed.2022.877213]

De Mamani, A. G. W., Tuchman, N., &amp; Duarte, E. A. (2010). Incorporating religion/spirituality into treatment for serious mental illness. ''Cognitive and Behavioral Practice, 17''(4), 348–357. [https://doi.org/10.1016/j.cbpra.2009.05.003 https://doi.org/10.1016/j.cbpra.2009.05.003] 

Farb, N. A. S., Segal, Z. V., Mayberg, H., Bean, J., McKeon, D., Fatima, Z., &amp; Anderson, A. K. (2007). Attending to the present: mindfulness meditation reveals distinct neural modes of self-reference. ''Social Cognitive and Affective Neuroscience, 2''(4), 313–322. [https://doi.org/10.1093/scan/nsm030 https://doi.org/10.1093/scan/nsm030]

Guynn, M. (2021). The art of actualization. ''Curiosity Interdisciplinary Journal of Research and Innovation''. [https://doi.org/10.36898/001c.28094 https://doi.org/10.36898/001c.28094]

Hofmann, S. G., Sawyer, A. T., Witt, A. A., &amp; Oh, D. (2010). The effect of mindfulness-based therapy on anxiety and depression: A meta-analytic review. ''Journal of Consulting and Clinical Psychology, 78''(2), 169–183.

Koenig, H. G. (2010). Spirituality and mental health. ''International Journal of Applied Psychoanalytic Studies, 7''(2), 116–122. [https://doi.org/10.1002/aps.239 https://doi.org/10.1002/aps.239]

Louca, E. P., Esmailnia, S., &amp; Thoma, N. (2022). Spirituality of the developing person according to Maslow. ''New Ideas in Psychology, 69'', 100994. [https://doi.org/10.1016/j.newideapsych.2022.100994 https://doi.org/10.1016/j.newideapsych.2022.100994]

Maslow, A. H. (1970). ''Motivation and personality'' (2nd ed.). Harper &amp; Row.

Neff, K. D., &amp; Germer, C. K. (2013). A pilot study and randomized controlled trial of the mindful self-compassion program. ''Journal of Clinical Psychology, 69''(1), 28–44.

Papaleontiou–Louca, E., Esmailnia, S., &amp; Thoma, N. (2021). A critical review of Maslow’s theory of spirituality. ''Journal of Spirituality in Mental Health, 24''(4), 327–343. [https://doi.org/10.1080/19349637.2021.1932694 https://doi.org/10.1080/19349637.2021.1932694]

Rogers, C. R. (1961). ''On becoming a person: A therapist's view of psychotherapy''. Boston: Houghton Mifflin Harcourt.

Rogers, C. R. (1980). ''A way of being''. Boston: Houghton Mifflin Harcourt.

Rusu, M. (2019). The process of self-realization—from the humanist psychology perspective. ''Psychology, 10''(08), 1095–1115. [https://doi.org/10.4236/psych.2019.108071 https://doi.org/10.4236/psych.2019.108071]

Shahina, G., &amp; Parveen, A. (2020). Role of spirituality in building up resilience and mental health among adolescents. ''Indian Journal of Positive Psychology, 11''(4).  

Starnino, V. R. (2016). When trauma, spirituality, and mental illness intersect: A qualitative case study. ''Psychological Trauma Theory Research Practice and Policy, 8''(3), 375–383 [https://psycnet.apa.org/doi/10.1037/tra0000105 https://psycnet.apa.org/doi/10.1037/tra0000105]

Verghese, A. (2008). Spirituality and mental health.''Indian Journal of Psychiatry, 50''(4), 233–237. [https://doi.org/10.4103/0019-5545.44742 https://doi.org/10.4103/0019-5545.44742]

Vitell, S. J., King, R. A., Howie, K., Toti, J., Albert, L., Hidalgo, E. R., &amp; Yacout, O. (2015). Spirituality, moral identity, and consumer ethics: A multi-cultural study. ''Journal of Business Ethics, 139''(1), 147–160. [https://doi.org/10.1007/s10551-015-2626-0 https://doi.org/10.1007/s10551-015-2626-0]

Westhead, M., &amp; Georgiades, A. (2025). The role of spirituality and religiosity in the maintenance and recovery of psychosis: A systematic review. ''Early Intervention in Psychiatry, 19''(7). [https://doi.org/10.1111/eip.70061 https://doi.org/10.1111/eip.70061] 

Wong, P. T. P. (2016). Meaning-seeking, self-transcendence, and well-being. In A. Batthyány (Ed.), ''Logotherapy and existential analysis: Proceedings of the Viktor Frankl Institute Vienna'' (Vol. 1,pp. 311–321). [https://doi.org/10.1007/978-3-319-29424-7%2027 https://doi.org/10.1007/978-3-319-29424-7_27]

Worthington, E. L., Van Oyen Witvliet, C., Pietrini, P., &amp; Miller, A. J. (2007). Forgiveness, health, and well-being: A review of evidence for emotional versus decisional forgiveness, dispositional forgivingness, and reduced unforgiveness. ''Journal of Behavioral Medicine, 30''(4), 291–302. [https://doi.org/10.1007/s10865-007-9105-8 https://doi.org/10.1007/s10865-007-9105-8]

Yonker, J. E., Schnabelrauch, C. A., &amp; DeHaan, L. G. (2011). The relationship between spirituality and religiosity on psychological outcomes in adolescents and emerging adults: A meta‐analytic review. ''Journal of Adolescence, 35''(2), 299–314. [https://doi.org/10.1016/j.adolescence.2011.08.010 https://doi.org/10.1016/j.adolescence.2011.08.010]

}}

==External links==
* [https://www.abc.net.au/listen/programs/godforbid/a-prayer-or-a-pill-exploring-mental-health-science-and-religion/14100642 ABC Radio National: A prayer or pill? Exploring mental health science and religion] (abc.net.au)
* [https://www.rcpsych.ac.uk/mental-health/treatments-and-wellbeing/spirituality-and-mental-health Spiritual health care] (rcpsych.ac.uk)
* [https://www.youtube.com/watch?v=lWePaMgaVZg What is Spirituality?] (YouTube)

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== Overview ==
{{RoundBoxTop|theme=8}} 
[[File:Doctor with Patient Cartoon.svg|thumb|'''Figure 1'''. A doctor consulting a patient.{{ic|Explain how this relates to spirituality and mental health or the scenario}}]]

;Scenario 

Brenda has advanced [[w:Bone tumor|bone cancer]]. Her doctors told her the [[w:Disease|disease]] had grown too aggressive for her body to fight alone (see Figure 1). Facing endless [[w:Chemotherapy|chemotherapy]], she felt  [[w:Anxiety|anxious]] and uncertain about the future. Hopelessness weighed heavily on her.

To cope, Brenda turned inward to her spirituality. She practised daily [[w:Meditation|meditation]], using body scans to release tension and reconnect with her body. [[w:Prayer|Prayer]] and [[w:Gratitude|gratitude]] became daily [[w:Ritual|rituals]], helping her notice small moments of meaning even amid suffering. These practices brought calm and a sense of control, allowing her to approach each day with steadier [[w:Emotion|emotions]]. She also found [[w:Social support|support]] in a local spiritual group. Sharing fears with others who understood her journey eased her sense of isolation and offered reassurance.

Over time, [[w:Spirituality|spirituality]] reshaped Brenda’s outlook. She shifted focus from her illness to purpose, connection, and [[w:Personal development|personal growth]]. Each meditation, prayer, and shared story helped her find [[w:Peace|peace]] and maintain [[w:Hope|hope]]. In a life filled with uncertainty, these practices became tools to navigate fear, [[w:Psychological resilience|strengthen resilience]], and preserve [[w:Dignity|dignity]]. Spirituality gave Brenda a framework to face [[w:Suffering|suffering]] without losing herself, and to discover meaning beyond the limits of her illness.

{{RoundBoxBottom}}

Spirituality provides people with a [[wikipedia:Meaning_of_life|sense of meaning]], purpose, and connection that goes beyond the material aspects of life. These shape how people see themselves and their role in the [[w:World|world]]. For some, spirituality supports [[wikipedia:Mental_health|mental health]] and emotional [[wikipedia:Well-being|well-being]] by reducing stress and improving emotion control (Verghese, 2008). For others, it can cause distress, especially when they associate their beliefs with feelings of guilt, punishment, or conflict (Koenig, 2012). 

Psychological theories help explain these mixed effects. [[wikipedia:Carl_Rogers|Carl Rogers']] [[wikipedia:Humanistic_psychology|humanistic approach]] shows that self-actualisation is crucial to personal growth and is often linked to spiritual experiences (Rogers, 1980). [[wikipedia:Maslow's_hierarchy_of_needs|Maslow's hierarchy of needs]] reinforces this by placing transcendence and [[Motivation and emotion/Textbook/Motivation/Self-actualisation|self-actualisation]] at the top of human motivation (Maslow, 1970). This illustrates how spirituality can either ease or hinder {{explain}} development. Together, these ideas demonstrate how spirituality can contribute to an individuals{{g}} mental health and emotional well-being (Louca et al., 2022).

{{RoundBoxTop|theme=11}}
; Focus questions

* What is spirituality? 
* How does spirituality promote emotional well-being through mindfulness, compassion, and forgiveness? 
* How do psychological theories explain the contribution of spirituality to mental health and well-being?
* How does current research support incorporating spirituality into the treatment of psychiatric disorders?

{{RoundBoxBottom}}

==What is spirituality? ==
Spirituality includes a variety of personal held [[w:Belief|beliefs]] and [[w:Experience|experiences]] that involve a deep connection to a higher power or something larger than oneself. It includes a variety of beliefs and life experiences that relate to exploration, meaning, and purpose in the world (Verghese, 2008; Louca et al., 2022). 

[[File:Falun Dafa fifth meditation exercise.jpg|thumb|227x227px|Figure 2. Female {{ic|Why does assumed gender matter here?}} practising meditation]]

'''Important facets of spirituality consist of:'''
* ''Connection'': Feeling a connection to the cosmos, [[nature]], other people, a higher power, or even one's inner self is a common aspect of spirituality. This relationship can give rise to a feeling of understanding and [[w:Community|community]] that goes beyond daily existence (Wong, 2016).
* ''Meaning and purpose'': The search for life's meaning and purpose is frequently linked to spirituality{{f}}. It can offer responses to existential questions like &quot;What is my purpose?&quot; and &quot;Why am I here?&quot; This quest for purpose may shape choices, deeds, and a person's life's path in general (Wong, 2016).
* ''Transcendence:'' Experiences that transcend the [[w:Mundane|mundane]] or material world are often associated with spirituality{{f}}. This might include sensations of amazement, or a profound sense of serenity that comes from marvelling at the immensity of the cosmos, meditating, or having meaningful interactions with other people (Wong, 2016).
* ''[[w:Morality|Morality]] and Values:'' A lot of individuals look to their spiritual beliefs for their [[w:Moral|moral]] guidance and values{{f}}. People's perceptions of right and wrong, behaviour, and interactions with people and the outside environment can all be influenced by their spirituality (Vitell et al., 2015).
* ''Personal Development:'' Seeking self-improvement and personal growth is frequently associated with spirituality{{f}}. This might entail pursuing [[w:Knowledge|knowledge]], developing moral qualities like [[w:Forgiveness|forgiveness]] and [[w:Compassion|compassion]], and making an effort to improve oneself (Wong, 2016).
* ''Practices:'' A variety of activities, including [[yoga]] (see Figure 2), meditation, prayer, rituals, and acts of service, can be used to express spirituality{{f}}. 

Through these activities, people can develop a sense of inner strength, balance, and serenity as well as a deeper connection to their spiritual beliefs{{f}}. Spirituality may be found in many different forms and circumstances, both inside and outside of [[w:Religion|religion]]. It's about each person's path to [[w:Self-awareness|self-awareness]], meaning, and connection {{g}} these journeys can frequently result in improved mental, emotional, and even physical health (Verghese, 2008).

== Emotional regulation and spirituality: The role of mindfulness, compassion, and forgiveness ==
Spiritual activities or actions that involve [[mindfulness]], compassion and forgiveness can also offer important psychological advantages. They help people reduce [[Stress (psychological)|stress]], manage negative emotions, and encourage good emotions. [[w:Psychology|Psychology]] [[w:Research|research]] is increasingly recognising the importance of these spiritual activities in fostering mental and emotional well-being (Hofmann et al., 2010).

=== Mindfulness meditation ===
* With its origins in spiritual [[w:Tradition|traditions]] like [[Buddhism/Introduction|Buddhism]], mindfulness meditation has gained widespread recognition as a useful method in [[w:Psychotherapy|psychological therapy]] for [[w: Emotional self-regulation|regulating emotions]]. Being mindful entails focusing on the here and now while adopting an accepting, non-judgmental [[w:Mindset|mindset]]. People can respond to stress in healthier and more adaptable ways by developing this awareness, which makes them more conscious of their thoughts and feelings (Farb et al., 2007).
* An increasing amount of studies demonstrates how much mindfulness practices help with emotional control. Hofmann et al. (2010, conducted a [[w:Meta-analysis|meta-analysis]] of 39 papers to look at the effects of mindfulness-based treatment on [[wikipedia:Depression_(mood)|depression]] and anxiety. The findings showed that mindfulness plays a critical role in assisting people in controlling their negative emotions by dramatically reducing [[w:Signs and symptoms|symptoms]] of both anxiety and sadness.
* [[wikipedia:Functional_magnetic_resonance_imaging|Functional magnetic resonance imaging (fMRI)]] was employed in a study by Farb et al. (2007) to investigate the [[w:Brain|brain]] processes underlying mindfulness. The study discovered that self-referential processing and emotional regulation-related alterations in brain activity were linked to mindfulness training. Individuals who engaged in mindfulness practices demonstrated improved emotional regulation, especially under pressure, and a higher level of awareness of their emotional states.

=== Compassion ===
* Another essential comp{{f}}onent of many spiritual traditions is compassion, which is acknowledging one's own and other people's pain and acting with kindness and a wish to lessen that suffering. Neff and Germer's (2013) study investigated how a [[wikipedia:Self-compassion|self-compassion]] training programme affected participants' emotional health. According to the study, those who practiced self-compassion showed large improvements in life satisfaction along with significant decreases in stress, anxiety, and despair. By treating oneself with the same consideration and understanding that they would provide to a friend, people who practice self-compassion are able to protect themselves from the damaging effects of stress and foster emotional resilience.

=== Forgiveness ===
* Forgiveness, a practice emphasised in many spiritual traditions, involves letting go of [[wikipedia:Anger|anger]], resentment, and the [[w:Desire|desire]] for [[wikipedia:Revenge|revenge]] toward someone who has caused harm{{f}}. Forgiveness is a powerful tool for emotional regulation, as it allows individuals to release negative emotions and move toward emotional [[w:Healing|healing]] and peace{{f}}. A study by Worthington et al. (2007) reviewed the psychological and physiological effects of forgiveness and found that individuals who practised forgiveness experienced lower levels of stress and improved emotional regulation. The act of forgiveness helps to diminish the emotional burden of holding onto negative emotions, thereby promoting a more balanced and positive emotional state{{f}}.

{{RoundBoxTop|theme=2}}

;Quiz
&lt;quiz display=&quot;simple&quot;&gt;
{Research shows that mindfulness practices can strengthen emotional regulation and reduce symptoms of depression and anxiety:
|type=&quot;()&quot;}
+ True
- False

{Practising compassion has been shown to increase stress and decrease life satisfaction:
|type=&quot;()&quot;}
- True
+ False
&lt;/quiz&gt;

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== Theoretical underpinnings ==
[[File:Carl Ransom Rogers.jpg|thumb|Figure 3. Carl Rogers{{ic|Explain how this relates to spirituality and mental health}}]]

[[w: Theoretical psychology|Psychology's theoretical foundations]] provide insights into the relationship between spirituality and mental health. They show how spiritual practices and beliefs can contribute to psychological and emotional well-being. One of the most influential perspectives is Carl Rogers' humanistic approach, which places a strong emphasis on the idea of self-actualisation (Rusu, 2019) {{ic|Rogers focused on the fully functioning person; Maslow focused on self-actualisation}}. The process of reaching one's full potential and becoming the most authentic version of oneself{{g}}. According to Rogers (see Figure 3), the pursuit of self-actualisation is an intensely personal and unique path on which the person aspires to become their most genuine self (Rusu, 2019). Similarly, Maslow's hierarchy of needs (1970) offers a motivational framework through which spirituality can support multiple levels of human development, from [[w:Belongingness|belongingness]] and esteem to self-actualisation and self-transcendence (see Figure 4). 

=== Carl Rogers' humanistic approach and spirituality ===
Rogers (1961, 1980) argued that psychological well-being stems from self-awareness, [[w:Autonomy|autonomy]], and personal growth, with self-actualisation as the pinnacle of development. Spiritual experiences, such as moments of profound [[w:Insight|insight]] or connection, may foster this process by encouraging individuals to explore values, beliefs and purpose (Guynn, 2021). Practices that nurture compassion, forgiveness, and self-acceptance reflect Rogers' concept of unconditional positive regard, supporting emotional resilience and alignment with authentic ideals. 

Several studies provide evidence that spirituality can support mental health and emotional well-being, though the benefits may be limited and dependent on the context. Baetz and Toews (2009) found that spirituality often promotes emotional coping, emotional regulation and [[w:Social connection|social connectedness]], yet it can also heighten [[w:Mental distress|distress]] when beliefs are experienced as punishing or conflictual. Similarly, Coelho-Júnior et al. (2022) [[w:Systematic review|systematically reviewed]] 102 [[w:Observational study|observational studies]] involving nearly 80,000 older adults. It was found that higher religiosity and spirituality were associated with lower depression and anxiety, greater life satisfaction, enhanced meaning in life and stronger social relationships. These findings are consistent with Roger's humanistic perspective, suggesting that engaging in spiritual practices can foster self-awareness, personal growth, and the pursuit of meaningful goals, thereby supporting both mental and emotional well-being.   

Critically, it is important to recognise that most of the evidence was obtained from observational studies, so causality cannot be assumed. How spirituality is defined also differs across the studies, and outcomes are shaped by [[w:Culture|cultural]] and age-related factors. Overall, Rogers' humanistic framework helps to understand how spirituality can support personal growth and emotional resilience, but these benefits are highly individual and conditional. 

{{RoundBoxTop|theme=2}} 
'''Quiz'''
&lt;quiz display=&quot;simple&quot;&gt;
{Baetz and Toews (2009) suggest that spirituality can sometimes increase distress if beliefs are experienced as punishing or conflictual:
|type=&quot;()&quot;}
+ True
- False

{Rogers’ framework implies that all individuals will benefit equally from spiritual engagement regardless of their cultural or personal context:
|type=&quot;()&quot;}
- True
+ False
&lt;/quiz&gt;

{{RoundBoxBottom}}

=== Maslow's hierarchy of needs and spirituality ===
[[File:Maslow's Hierarchy of Needs Diagram.png|thumb|606x606px|Figure 4. Diagram of Maslow's Hierarchy of Needs]]

Roger's emphasis on personal growth and the experiential nature of self-actualisation closely connect with Maslow's hierarchy of needs (Rogers, 1980). This model (see Figure 4) begins with physiological and safety needs, followed by belonging, esteem, and self-actualisation, with later models also recognising self-transcendence (Maslow, 1970). Spiritual practices, such as participating in communal activities and engaging in personal growth, can support a sense of belonging and enhance self-esteem (Barton &amp; Miller, 2015). Reflecting on meaning and purpose can support self-actualisation and transcendence (Louca et al., 2022). 

A meta-analysis by Yonker et al. (2011) reported small to moderate positive effects of spirituality on well-being (''r'' = 0.16) and self-esteem (''r'' = 0.11). Also noted were reductions in behavioural and depressive symptoms among over 66,000 [[w:Adolescence|adolescents]] and [[w:Emerging adulthood and early adulthood|emerging adults]]. Although effect sizes are relatively small, these results suggest that spiritual engagement contributes positively to psychological development. This study highlighted practices such as attending religious services, engaging in prayer or meditation, and participating in [[w:Volunteering|volunteering]]. By engaging in these practices, individuals can improve their mental health and emotional well-being, moving toward self-actualisation.     

Similarly, not all forms of spirituality have positive effects on well-being. Koenig (2012) warned that negative religious coping, such as viewing illness as a divine punishment or feeling abandoned by a faith community, can increase anxiety and depression. In some vulnerable individuals, it may also lead to [[w:Hallucination|hallucinations]]. Struggles with guilt, or conflict with religious [[w:Institution|institutions]], including experiences of church-related harm or difficulty with forgiveness, are linked to greater psychological distress and [[w:Suicidal ideation|suicidal thoughts]]. Spirituality can sometimes foster a sense of belonging, esteem, and meaning (Koenig, 2012). However, it is not always beneficial, and negative coping or conflicts can worsen mental health and increase psychological distress (Koenig, 2012).     

These findings align with Maslow's framework, indicating that spiritual engagement can be utilised as a practical tool to meet higher-level psychological needs. However, Koenig (2012) highlights that spirituality is not universally beneficial and can have negative contributions to mental health. It's also important to consider that most studies were correlational, and one was observational, which limits causal claims. Effects varied by age, ethnicity, and measurement method (specifically, the definition of spirituality), and most participants were predominantly from Western/Christian geographical locations. This highlights the need to consider sociocultural and individual factors when applying Maslow's model to spirituality's role in mental health and emotional well-being.

== Mechanisms linking spirituality and mental health ==
[[File:Изображение галлюцинации, сгенирированное нейросетью.jpg|thumb|225x225px|'''Figure 5'''. An AI-generated, metaphorical depiction of a visual hallucination, illustrating how perceptual experiences in psychosis may be vivid, distorted, and subjectively interpreted in the context of spiritual or religious beliefs).|right]]

For people with psychiatric disorders, spirituality can provide meaning, hope, and resilience (Shahina &amp; Parven, 2020). At the same time, spiritual experiences can overlap with symptoms of [[wikipedia:Schizophrenia|schizophrenia]], such as hallucinations (see Figure 5; Westhead &amp; Georgiades, 2025). Research highlights both the potential benefits and risks of incorporating spirituality as a treatment tool for psychiatric disorders.

Starnino’s (2016) qualitative [[wikipedia:Case_study|case study]] used a hermeneutic phenomenological approach to gain an in-depth understanding of the relationship between spirituality and mental health. The study carefully examined the experiences of two individuals (James and Helen) with severe [[wikipedia:Psychological_trauma|traumatic experiences]] and psychiatric conditions like schizophrenia. To help manage his symptoms, James practices spiritual activities such as meditation, prayer, and creating artwork. However, he noted that his spiritual beliefs were also closely linked to his [[wikipedia:Psychosis|psychotic]] symptoms. Specifically, the voices he kept hearing were interpreted as “[[wikipedia:Demon|demons]]”, telling him he “is in a battle of good vs evil” (Starnino, 2016). The case illustrates how spirituality can act as a coping mechanism while also potentially reinforcing psychotic experiences. It highlights the importance of clinical consideration when spirituality and mental health intersect.

Similarly, a study by Weisman de Mamani et al. (2010) investigated the spirituality in [[wikipedia:Psychotherapy|psychotherapy]] for patients with schizophrenia from [[w:Minority group|minority populations]] in the [[wikipedia:United_States|United States]]. Positive effects were observed with religious coping strategies, including practices such as prayer, meditation, and listening to spiritual music. These practices led to a reduction in patient symptoms, improved stress management, increased hope, and a greater sense of meaning in life. Negative outcomes occurred when spiritual beliefs intensified psychotic symptoms. Examples include interpreting hallucinations as direct messages from God or viewing mental illness as punishment. 

Together, these studies demonstrate that spirituality contributes to mental health outcomes in complex ways. Critically, these findings reinforce the importance of understanding individual experiences. [[w:Clinician|Clinicians]] also need to consider the nature of the psychiatric symptoms before integrating spiritual practices into treatment. Without careful assessment, spiritual practices can contribute to negative mental health outcomes such as hallucinations.

{{RoundBoxTop|theme=5}}
'''Case study'''
[[File:Helping the homeless.jpg|thumb|'''Figure 6'''. Two women are helping a homeless man by donating items to him.]]

Helen is a 42-year-old [[w:Christians|Christian]] female with a history of severe trauma and schizoaffective disorder. She was raised with a strict view of God. As a result, she viewed her life through a religious lens. In her teenage years, she was sexually abused by a [[w:Family|family]] member. She believed this was punishment from God because she “had [[w:Sin|sinned]] in some way&quot; (Starnino, 2016, p. 376).

In her early 20s, Helen began to experience hallucinations and voices paired with [[w:Flashback (psychology)|flashbacks]] of the abuse. She said, “I heard voices saying that I was selected ... I believed I deserved what was happening to me&quot; (Starnino, 2016, p. 376). During this period, she attempted [[w:Suicide|suicide]] and was hospitalised numerous times.

Ten years ago, after psychiatric hospitalisation, Helen began exploring spiritual practices with the guidance of a therapist. This helped her let go of early ideas of religion that reinforced [[w:Self-blame (psychology)|self-blame]]. She reflected, “[In the past] I would think ‘Well, I am separate and I am different because I have these challenges and the mental illness,’ and then I realized that everybody has something that they’re struggling with&quot; (Starnino, 2016, p. 380). She now views herself as “part of the universe, as part of humanity,” (Starnino, 2016, p. 380) which has supported her in meaning-making and positive adaptation.

Her new meaning in life derives from connection and growth. She said, “Before I would think, ‘God doesn’t like me.’ Now I see myself as being part of a greater, higher power that sort of makes me part of humanity&quot; (Starnino, 2016, p. 380). She also expressed belief in reincarnation, saying, “I do believe that when you die your spirit goes on to another adventure and you continue to work on what you’re supposed to learn&quot; (Starnino, 2016, p. 380). 

Currently, Helen employs spiritual coping mechanisms, including meditation, gratitude journaling, and time spent in nature, to support her well-being (Starnino, 2016, p. 381). She now finds purpose in advocacy and peer support, stating, “I found out that there is a purpose in my life and I can do things that I thought I couldn’t do before, and I can help other people&quot;(see Figure 6; Starnino, 2016, p. 381).  Helen’s story shows how spirituality can complicate recovery when linked to trauma and [[w:Psychosis|psychosis]], yet also play a vital role in reframing suffering, fostering resilience, and building a meaningful life (Starnino, 2016).

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==Conclusion==
Spirituality has a significant role in supporting mental health and emotional wellbeing. It provides a sense of meaning, purpose, and connection. Engaging in spiritual practices helps individuals manage emotions, reduce stress, and build resilience. Mindfulness and meditation, enhance awareness of thoughts and feelings, improve emotional regulation, and can reduce anxiety and depression (Farb et al., 2007; Hofmann et al., 2010).  Compassion and self-compassion strengthen resilience and life satisfaction (Neff &amp; Germer, 2013), while forgiveness reduces anger and stress, supporting emotional well-being (Worthington, 2007).

Humanistic theories, including Rogers’ (1980) focus on self-actualisation and Maslow’s hierarchy of needs, highlight how spirituality encourages personal growth and the pursuit of higher-level psychological needs (Louca et al., 2022). Case studies show spirituality can serve as a coping tool, offering comfort and resilience. However, it can also pose risks, particularly when linked to trauma or psychotic symptoms (Starnino, 2016; Weisman de Mamani et al., 2010).

Critiques emphasise that spirituality is not universally beneficial. Its effects vary depending on individual context, personal history, and cultural background. Evidence is mostly drawn from Westernised populations, which may not generalise to Eastern or alternative spiritual practices. Defining and measuring spirituality remains challenging, limiting research consistency. Engagement should be tailored to the individual, and avoid obsession to the beliefs.

The key message is that spirituality can support mental health when approached carefully. It offers tools for emotional regulation, meaning-making, and personal growth. Awareness of potential risks and cultural differences is essential. For personal development, selective and balanced engagement with spiritual practices can enhance resilience, wellbeing and mental health. 

==See also ==
* [[Motivation and emotion/Book/2023/Growth mindset and mental health|Growth mindset and mental health]] (Book chapter, 2023)
* [[w:Self determination theory|Self determination theory]] (Wikipedia)
* [[Motivation and emotion/Book/2011/Spiritual and religious motivation|Spiritual and religious motivation]] (Book Chapter, 2011) 

==References ==
{{Hanging indent|1=

Baetz M, Toews J. Clinical implications of research on religion, spirituality, and mental health. ''Canadian Journal of Psychiatry, 54''(5):292-301. [https://doi.org/10.1177/070674370905400503 https://doi.org/10.1177/070674370905400503] 

Barton, Y. A., &amp; Miller, L. (2015). Spirituality and positive psychology go hand in hand: An investigation of multiple empirically derived profiles and related protective benefits. ''Journal of Religion and Health, 54'', 829–843. [https://doi.org/10.1007/s10943-015-0045-2 https://doi.org/10.1007/s10943-015-0045-2]

Coelho-Júnior, H. J., Calvani, R., Panza, F., Allegri, R. F., Picca, A., Marzetti, E., &amp; Alves, V. P. (2022). Religiosity/spirituality and mental Health in older adults: A systematic review and meta-analysis of observational studies. ''Frontiers in Medicine, 9''. [https://doi.org/10.3389/fmed.2022.877213 https://doi.org/10.3389/fmed.2022.877213]

De Mamani, A. G. W., Tuchman, N., &amp; Duarte, E. A. (2010). Incorporating religion/spirituality into treatment for serious mental illness. ''Cognitive and Behavioral Practice, 17''(4), 348–357. [https://doi.org/10.1016/j.cbpra.2009.05.003 https://doi.org/10.1016/j.cbpra.2009.05.003] 

Farb, N. A. S., Segal, Z. V., Mayberg, H., Bean, J., McKeon, D., Fatima, Z., &amp; Anderson, A. K. (2007). Attending to the present: mindfulness meditation reveals distinct neural modes of self-reference. ''Social Cognitive and Affective Neuroscience, 2''(4), 313–322. [https://doi.org/10.1093/scan/nsm030 https://doi.org/10.1093/scan/nsm030]

Guynn, M. (2021). The art of actualization. ''Curiosity Interdisciplinary Journal of Research and Innovation''. [https://doi.org/10.36898/001c.28094 https://doi.org/10.36898/001c.28094]

Hofmann, S. G., Sawyer, A. T., Witt, A. A., &amp; Oh, D. (2010). The effect of mindfulness-based therapy on anxiety and depression: A meta-analytic review. ''Journal of Consulting and Clinical Psychology, 78''(2), 169–183.

Koenig, H. G. (2010). Spirituality and mental health. ''International Journal of Applied Psychoanalytic Studies, 7''(2), 116–122. [https://doi.org/10.1002/aps.239 https://doi.org/10.1002/aps.239]

Louca, E. P., Esmailnia, S., &amp; Thoma, N. (2022). Spirituality of the developing person according to Maslow. ''New Ideas in Psychology, 69'', 100994. [https://doi.org/10.1016/j.newideapsych.2022.100994 https://doi.org/10.1016/j.newideapsych.2022.100994]

Maslow, A. H. (1970). ''Motivation and personality'' (2nd ed.). Harper &amp; Row.

Neff, K. D., &amp; Germer, C. K. (2013). A pilot study and randomized controlled trial of the mindful self-compassion program. ''Journal of Clinical Psychology, 69''(1), 28–44.

Papaleontiou–Louca, E., Esmailnia, S., &amp; Thoma, N. (2021). A critical review of Maslow’s theory of spirituality. ''Journal of Spirituality in Mental Health, 24''(4), 327–343. [https://doi.org/10.1080/19349637.2021.1932694 https://doi.org/10.1080/19349637.2021.1932694]

Rogers, C. R. (1961). ''On becoming a person: A therapist's view of psychotherapy''. Boston: Houghton Mifflin Harcourt.

Rogers, C. R. (1980). ''A way of being''. Boston: Houghton Mifflin Harcourt.

Rusu, M. (2019). The process of self-realization—from the humanist psychology perspective. ''Psychology, 10''(08), 1095–1115. [https://doi.org/10.4236/psych.2019.108071 https://doi.org/10.4236/psych.2019.108071]

Shahina, G., &amp; Parveen, A. (2020). Role of spirituality in building up resilience and mental health among adolescents. ''Indian Journal of Positive Psychology, 11''(4).  

Starnino, V. R. (2016). When trauma, spirituality, and mental illness intersect: A qualitative case study. ''Psychological Trauma Theory Research Practice and Policy, 8''(3), 375–383 [https://psycnet.apa.org/doi/10.1037/tra0000105 https://psycnet.apa.org/doi/10.1037/tra0000105]

Verghese, A. (2008). Spirituality and mental health.''Indian Journal of Psychiatry, 50''(4), 233–237. [https://doi.org/10.4103/0019-5545.44742 https://doi.org/10.4103/0019-5545.44742]

Vitell, S. J., King, R. A., Howie, K., Toti, J., Albert, L., Hidalgo, E. R., &amp; Yacout, O. (2015). Spirituality, moral identity, and consumer ethics: A multi-cultural study. ''Journal of Business Ethics, 139''(1), 147–160. [https://doi.org/10.1007/s10551-015-2626-0 https://doi.org/10.1007/s10551-015-2626-0]

Westhead, M., &amp; Georgiades, A. (2025). The role of spirituality and religiosity in the maintenance and recovery of psychosis: A systematic review. ''Early Intervention in Psychiatry, 19''(7). [https://doi.org/10.1111/eip.70061 https://doi.org/10.1111/eip.70061] 

Wong, P. T. P. (2016). Meaning-seeking, self-transcendence, and well-being. In A. Batthyány (Ed.), ''Logotherapy and existential analysis: Proceedings of the Viktor Frankl Institute Vienna'' (Vol. 1,pp. 311–321). [https://doi.org/10.1007/978-3-319-29424-7%2027 https://doi.org/10.1007/978-3-319-29424-7_27]

Worthington, E. L., Van Oyen Witvliet, C., Pietrini, P., &amp; Miller, A. J. (2007). Forgiveness, health, and well-being: A review of evidence for emotional versus decisional forgiveness, dispositional forgivingness, and reduced unforgiveness. ''Journal of Behavioral Medicine, 30''(4), 291–302. [https://doi.org/10.1007/s10865-007-9105-8 https://doi.org/10.1007/s10865-007-9105-8]

Yonker, J. E., Schnabelrauch, C. A., &amp; DeHaan, L. G. (2011). The relationship between spirituality and religiosity on psychological outcomes in adolescents and emerging adults: A meta‐analytic review. ''Journal of Adolescence, 35''(2), 299–314. [https://doi.org/10.1016/j.adolescence.2011.08.010 https://doi.org/10.1016/j.adolescence.2011.08.010]

}}

==External links==
* [https://www.abc.net.au/listen/programs/godforbid/a-prayer-or-a-pill-exploring-mental-health-science-and-religion/14100642 ABC Radio National: A prayer or pill? Exploring mental health science and religion] (abc.net.au)
* [https://www.rcpsych.ac.uk/mental-health/treatments-and-wellbeing/spirituality-and-mental-health Spiritual health care] (rcpsych.ac.uk)
* [https://www.youtube.com/watch?v=lWePaMgaVZg What is Spirituality?] (YouTube)

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== Overview ==
{{RoundBoxTop|theme=8}} 
[[File:Doctor with Patient Cartoon.svg|thumb|'''Figure 1'''. A doctor consulting a patient.{{ic|Explain how this relates to spirituality and mental health or the scenario}}]]

;Scenario 

Brenda has advanced [[w:Bone tumor|bone cancer]]. Her doctors told her the [[w:Disease|disease]] had grown too aggressive for her body to fight alone (see Figure 1). Facing endless [[w:Chemotherapy|chemotherapy]], she felt  [[w:Anxiety|anxious]] and uncertain about the future. Hopelessness weighed heavily on her.

To cope, Brenda turned inward to her spirituality. She practised daily [[w:Meditation|meditation]], using body scans to release tension and reconnect with her body. [[w:Prayer|Prayer]] and [[w:Gratitude|gratitude]] became daily [[w:Ritual|rituals]], helping her notice small moments of meaning even amid suffering. These practices brought calm and a sense of control, allowing her to approach each day with steadier [[w:Emotion|emotions]]. She also found [[w:Social support|support]] in a local spiritual group. Sharing fears with others who understood her journey eased her sense of isolation and offered reassurance.

Over time, [[w:Spirituality|spirituality]] reshaped Brenda’s outlook. She shifted focus from her illness to purpose, connection, and [[w:Personal development|personal growth]]. Each meditation, prayer, and shared story helped her find [[w:Peace|peace]] and maintain [[w:Hope|hope]]. In a life filled with uncertainty, these practices became tools to navigate fear, [[w:Psychological resilience|strengthen resilience]], and preserve [[w:Dignity|dignity]]. Spirituality gave Brenda a framework to face [[w:Suffering|suffering]] without losing herself, and to discover meaning beyond the limits of her illness.

{{RoundBoxBottom}}

Spirituality provides people with a [[wikipedia:Meaning_of_life|sense of meaning]], purpose, and connection that goes beyond the material aspects of life. These shape how people see themselves and their role in the [[w:World|world]]. For some, spirituality supports [[wikipedia:Mental_health|mental health]] and emotional [[wikipedia:Well-being|well-being]] by reducing stress and improving emotion control (Verghese, 2008). For others, it can cause distress, especially when they associate their beliefs with feelings of guilt, punishment, or conflict (Koenig, 2012). 

Psychological theories help explain these mixed effects. [[wikipedia:Carl_Rogers|Carl Rogers']] [[wikipedia:Humanistic_psychology|humanistic approach]] shows that self-actualisation is crucial to personal growth and is often linked to spiritual experiences (Rogers, 1980). [[wikipedia:Maslow's_hierarchy_of_needs|Maslow's hierarchy of needs]] reinforces this by placing transcendence and [[Motivation and emotion/Textbook/Motivation/Self-actualisation|self-actualisation]] at the top of human motivation (Maslow, 1970). This illustrates how spirituality can either ease or hinder {{explain}} development. Together, these ideas demonstrate how spirituality can contribute to an individuals{{g}} mental health and emotional well-being (Louca et al., 2022).

{{RoundBoxTop|theme=11}}
; Focus questions

* What is spirituality? 
* How does spirituality promote emotional well-being through mindfulness, compassion, and forgiveness? 
* How do psychological theories explain the contribution of spirituality to mental health and well-being?
* How does current research support incorporating spirituality into the treatment of psychiatric disorders?

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==What is spirituality? ==
Spirituality includes a variety of personal held [[w:Belief|beliefs]] and [[w:Experience|experiences]] that involve a deep connection to a higher power or something larger than oneself. It includes a variety of beliefs and life experiences that relate to exploration, meaning, and purpose in the world (Verghese, 2008; Louca et al., 2022). 

[[File:Falun Dafa fifth meditation exercise.jpg|thumb|227x227px|Figure 2. Female {{ic|Why does assumed gender matter here?}} practising meditation]]

'''Important facets of spirituality consist of:'''
* ''Connection'': Feeling a connection to the cosmos, [[nature]], other people, a higher power, or even one's inner self is a common aspect of spirituality. This relationship can give rise to a feeling of understanding and [[w:Community|community]] that goes beyond daily existence (Wong, 2016).
* ''Meaning and purpose'': The search for life's meaning and purpose is frequently linked to spirituality{{f}}. It can offer responses to existential questions like &quot;What is my purpose?&quot; and &quot;Why am I here?&quot; This quest for purpose may shape choices, deeds, and a person's life's path in general (Wong, 2016).
* ''Transcendence:'' Experiences that transcend the [[w:Mundane|mundane]] or material world are often associated with spirituality{{f}}. This might include sensations of amazement, or a profound sense of serenity that comes from marvelling at the immensity of the cosmos, meditating, or having meaningful interactions with other people (Wong, 2016).
* ''[[w:Morality|Morality]] and Values:'' A lot of individuals look to their spiritual beliefs for their [[w:Moral|moral]] guidance and values{{f}}. People's perceptions of right and wrong, behaviour, and interactions with people and the outside environment can all be influenced by their spirituality (Vitell et al., 2015).
* ''Personal Development:'' Seeking self-improvement and personal growth is frequently associated with spirituality{{f}}. This might entail pursuing [[w:Knowledge|knowledge]], developing moral qualities like [[w:Forgiveness|forgiveness]] and [[w:Compassion|compassion]], and making an effort to improve oneself (Wong, 2016).
* ''Practices:'' A variety of activities, including [[yoga]] (see Figure 2), meditation, prayer, rituals, and acts of service, can be used to express spirituality{{f}}. 

Through these activities, people can develop a sense of inner strength, balance, and serenity as well as a deeper connection to their spiritual beliefs{{f}}. Spirituality may be found in many different forms and circumstances, both inside and outside of [[w:Religion|religion]]. It's about each person's path to [[w:Self-awareness|self-awareness]], meaning, and connection {{g}} these journeys can frequently result in improved mental, emotional, and even physical health (Verghese, 2008).

== Emotional regulation and spirituality: The role of mindfulness, compassion, and forgiveness ==
Spiritual activities or actions that involve [[mindfulness]], compassion and forgiveness can also offer important psychological advantages. They help people reduce [[Stress (psychological)|stress]], manage negative emotions, and encourage good emotions. [[w:Psychology|Psychology]] [[w:Research|research]] is increasingly recognising the importance of these spiritual activities in fostering mental and emotional well-being (Hofmann et al., 2010).

=== Mindfulness meditation ===
* With its origins in spiritual [[w:Tradition|traditions]] like [[Buddhism/Introduction|Buddhism]], mindfulness meditation has gained widespread recognition as a useful method in [[w:Psychotherapy|psychological therapy]] for [[w: Emotional self-regulation|regulating emotions]]. Being mindful entails focusing on the here and now while adopting an accepting, non-judgmental [[w:Mindset|mindset]]. People can respond to stress in healthier and more adaptable ways by developing this awareness, which makes them more conscious of their thoughts and feelings (Farb et al., 2007).
* An increasing amount of studies demonstrates how much mindfulness practices help with emotional control. Hofmann et al. (2010, conducted a [[w:Meta-analysis|meta-analysis]] of 39 papers to look at the effects of mindfulness-based treatment on [[wikipedia:Depression_(mood)|depression]] and anxiety. The findings showed that mindfulness plays a critical role in assisting people in controlling their negative emotions by dramatically reducing [[w:Signs and symptoms|symptoms]] of both anxiety and sadness.
* [[wikipedia:Functional_magnetic_resonance_imaging|Functional magnetic resonance imaging (fMRI)]] was employed in a study by Farb et al. (2007) to investigate the [[w:Brain|brain]] processes underlying mindfulness. The study discovered that self-referential processing and emotional regulation-related alterations in brain activity were linked to mindfulness training. Individuals who engaged in mindfulness practices demonstrated improved emotional regulation, especially under pressure, and a higher level of awareness of their emotional states.

=== Compassion ===
* Another essential comp{{f}}onent of many spiritual traditions is compassion, which is acknowledging one's own and other people's pain and acting with kindness and a wish to lessen that suffering. Neff and Germer's (2013) study investigated how a [[wikipedia:Self-compassion|self-compassion]] training programme affected participants' emotional health. According to the study, those who practiced self-compassion showed large improvements in life satisfaction along with significant decreases in stress, anxiety, and despair. By treating oneself with the same consideration and understanding that they would provide to a friend, people who practice self-compassion are able to protect themselves from the damaging effects of stress and foster emotional resilience.

=== Forgiveness ===
* Forgiveness, a practice emphasised in many spiritual traditions, involves letting go of [[wikipedia:Anger|anger]], resentment, and the [[w:Desire|desire]] for [[wikipedia:Revenge|revenge]] toward someone who has caused harm{{f}}. Forgiveness is a powerful tool for emotional regulation, as it allows individuals to release negative emotions and move toward emotional [[w:Healing|healing]] and peace{{f}}. A study by Worthington et al. (2007) reviewed the psychological and physiological effects of forgiveness and found that individuals who practised forgiveness experienced lower levels of stress and improved emotional regulation. The act of forgiveness helps to diminish the emotional burden of holding onto negative emotions, thereby promoting a more balanced and positive emotional state{{f}}.

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;Quiz
&lt;quiz display=&quot;simple&quot;&gt;
{Research shows that mindfulness practices can strengthen emotional regulation and reduce symptoms of depression and anxiety:
|type=&quot;()&quot;}
+ True
- False

{Practising compassion has been shown to increase stress and decrease life satisfaction:
|type=&quot;()&quot;}
- True
+ False
&lt;/quiz&gt;

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== Theoretical underpinnings ==
[[File:Carl Ransom Rogers.jpg|thumb|Figure 3. Carl Rogers{{ic|Explain how this relates to spirituality and mental health}}]]

[[w: Theoretical psychology|Psychology's theoretical foundations]] provide insights into the relationship between spirituality and mental health. They show how spiritual practices and beliefs can contribute to psychological and emotional well-being. One of the most influential perspectives is Carl Rogers' humanistic approach, which places a strong emphasis on the idea of self-actualisation (Rusu, 2019) {{ic|Rogers focused on the fully functioning person; Maslow focused on self-actualisation}}. The process of reaching one's full potential and becoming the most authentic version of oneself{{g}}. According to Rogers (see Figure 3), the pursuit of self-actualisation is an intensely personal and unique path on which the person aspires to become their most genuine self (Rusu, 2019). Similarly, Maslow's hierarchy of needs (1970) offers a motivational framework through which spirituality can support multiple levels of human development, from [[w:Belongingness|belongingness]] and esteem to self-actualisation and self-transcendence (see Figure 4). 

=== Carl Rogers' humanistic approach and spirituality ===
Rogers (1961, 1980) argued that psychological well-being stems from self-awareness, [[w:Autonomy|autonomy]], and personal growth, with self-actualisation as the pinnacle of development. Spiritual experiences, such as moments of profound [[w:Insight|insight]] or connection, may foster this process by encouraging individuals to explore values, beliefs and purpose (Guynn, 2021). Practices that nurture compassion, forgiveness, and self-acceptance reflect Rogers' concept of unconditional positive regard, supporting emotional resilience and alignment with authentic ideals. 

Several studies provide evidence that spirituality can support mental health and emotional well-being, though the benefits may be limited and dependent on the context. Baetz and Toews (2009) found that spirituality often promotes emotional coping, emotional regulation and [[w:Social connection|social connectedness]], yet it can also heighten [[w:Mental distress|distress]] when beliefs are experienced as punishing or conflictual. Similarly, Coelho-Júnior et al. (2022) [[w:Systematic review|systematically reviewed]] 102 [[w:Observational study|observational studies]] involving nearly 80,000 older adults. It was found that higher religiosity and spirituality were associated with lower depression and anxiety, greater life satisfaction, enhanced meaning in life and stronger social relationships. These findings are consistent with Roger's humanistic perspective, suggesting that engaging in spiritual practices can foster self-awareness, personal growth, and the pursuit of meaningful goals, thereby supporting both mental and emotional well-being.   

Critically, it is important to recognise that most of the evidence was obtained from observational studies, so causality cannot be assumed. How spirituality is defined also differs across the studies, and outcomes are shaped by [[w:Culture|cultural]] and age-related factors. Overall, Rogers' humanistic framework helps to understand how spirituality can support personal growth and emotional resilience, but these benefits are highly individual and conditional. 

{{RoundBoxTop|theme=2}} 
'''Quiz'''
&lt;quiz display=&quot;simple&quot;&gt;
{Baetz and Toews (2009) suggest that spirituality can sometimes increase distress if beliefs are experienced as punishing or conflictual:
|type=&quot;()&quot;}
+ True
- False

{Rogers’ framework implies that all individuals will benefit equally from spiritual engagement regardless of their cultural or personal context:
|type=&quot;()&quot;}
- True
+ False
&lt;/quiz&gt;

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=== Maslow's hierarchy of needs and spirituality ===
[[File:Maslow's Hierarchy of Needs Diagram.png|thumb|606x606px|Figure 4. Diagram of Maslow's Hierarchy of Needs]]

Roger's emphasis on personal growth and the experiential nature of self-actualisation closely connect with Maslow's hierarchy of needs (Rogers, 1980). This model (see Figure 4) begins with physiological and safety needs, followed by belonging, esteem, and self-actualisation, with later models also recognising self-transcendence (Maslow, 1970). Spiritual practices, such as participating in communal activities and engaging in personal growth, can support a sense of belonging and enhance self-esteem (Barton &amp; Miller, 2015). Reflecting on meaning and purpose can support self-actualisation and transcendence (Louca et al., 2022). 

A meta-analysis by Yonker et al. (2011) reported small to moderate positive effects of spirituality on well-being (''r'' = 0.16) and self-esteem (''r'' = 0.11). Also noted were reductions in behavioural and depressive symptoms among over 66,000 [[w:Adolescence|adolescents]] and [[w:Emerging adulthood and early adulthood|emerging adults]]. Although effect sizes are relatively small, these results suggest that spiritual engagement contributes positively to psychological development. This study highlighted practices such as attending religious services, engaging in prayer or meditation, and participating in [[w:Volunteering|volunteering]]. By engaging in these practices, individuals can improve their mental health and emotional well-being, moving toward self-actualisation.     

Similarly, not all forms of spirituality have positive effects on well-being. Koenig (2012) warned that negative religious coping, such as viewing illness as a divine punishment or feeling abandoned by a faith community, can increase anxiety and depression. In some vulnerable individuals, it may also lead to [[w:Hallucination|hallucinations]]. Struggles with guilt, or conflict with religious [[w:Institution|institutions]], including experiences of church-related harm or difficulty with forgiveness, are linked to greater psychological distress and [[w:Suicidal ideation|suicidal thoughts]]. Spirituality can sometimes foster a sense of belonging, esteem, and meaning (Koenig, 2012). However, it is not always beneficial, and negative coping or conflicts can worsen mental health and increase psychological distress (Koenig, 2012).     

These findings align with Maslow's framework, indicating that spiritual engagement can be utilised as a practical tool to meet higher-level psychological needs. However, Koenig (2012) highlights that spirituality is not universally beneficial and can have negative contributions to mental health. It's also important to consider that most studies were correlational, and one was observational, which limits causal claims. Effects varied by age, ethnicity, and measurement method (specifically, the definition of spirituality), and most participants were predominantly from Western/Christian geographical locations. This highlights the need to consider sociocultural and individual factors when applying Maslow's model to spirituality's role in mental health and emotional well-being.

== Mechanisms linking spirituality and mental health ==
[[ile:Sincrodestinos ( el tímido despertar de una misión).jpg |thumb|225x225px|'''Figure 5'''. A depiction of imagery associated with visual hallucinations, illustrating how perceptual experiences in psychosis may be vivid, distorted, and subjectively interpreted in the context of spiritual or religious beliefs).|right]]

For people with psychiatric disorders, spirituality can provide meaning, hope, and resilience (Shahina &amp; Parven, 2020). At the same time, spiritual experiences can overlap with symptoms of [[wikipedia:Schizophrenia|schizophrenia]], such as hallucinations (see Figure 5; Westhead &amp; Georgiades, 2025). Research highlights both the potential benefits and risks of incorporating spirituality as a treatment tool for psychiatric disorders.

Starnino’s (2016) qualitative [[wikipedia:Case_study|case study]] used a hermeneutic phenomenological approach to gain an in-depth understanding of the relationship between spirituality and mental health. The study carefully examined the experiences of two individuals (James and Helen) with severe [[wikipedia:Psychological_trauma|traumatic experiences]] and psychiatric conditions like schizophrenia. To help manage his symptoms, James practices spiritual activities such as meditation, prayer, and creating artwork. However, he noted that his spiritual beliefs were also closely linked to his [[wikipedia:Psychosis|psychotic]] symptoms. Specifically, the voices he kept hearing were interpreted as “[[wikipedia:Demon|demons]]”, telling him he “is in a battle of good vs evil” (Starnino, 2016). The case illustrates how spirituality can act as a coping mechanism while also potentially reinforcing psychotic experiences. It highlights the importance of clinical consideration when spirituality and mental health intersect.

Similarly, a study by Weisman de Mamani et al. (2010) investigated the spirituality in [[wikipedia:Psychotherapy|psychotherapy]] for patients with schizophrenia from [[w:Minority group|minority populations]] in the [[wikipedia:United_States|United States]]. Positive effects were observed with religious coping strategies, including practices such as prayer, meditation, and listening to spiritual music. These practices led to a reduction in patient symptoms, improved stress management, increased hope, and a greater sense of meaning in life. Negative outcomes occurred when spiritual beliefs intensified psychotic symptoms. Examples include interpreting hallucinations as direct messages from God or viewing mental illness as punishment. 

Together, these studies demonstrate that spirituality contributes to mental health outcomes in complex ways. Critically, these findings reinforce the importance of understanding individual experiences. [[w:Clinician|Clinicians]] also need to consider the nature of the psychiatric symptoms before integrating spiritual practices into treatment. Without careful assessment, spiritual practices can contribute to negative mental health outcomes such as hallucinations.

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'''Case study'''
[[File:Helping the homeless.jpg|thumb|'''Figure 6'''. Two women are helping a homeless man by donating items to him.]]

Helen is a 42-year-old [[w:Christians|Christian]] female with a history of severe trauma and schizoaffective disorder. She was raised with a strict view of God. As a result, she viewed her life through a religious lens. In her teenage years, she was sexually abused by a [[w:Family|family]] member. She believed this was punishment from God because she “had [[w:Sin|sinned]] in some way&quot; (Starnino, 2016, p. 376).

In her early 20s, Helen began to experience hallucinations and voices paired with [[w:Flashback (psychology)|flashbacks]] of the abuse. She said, “I heard voices saying that I was selected ... I believed I deserved what was happening to me&quot; (Starnino, 2016, p. 376). During this period, she attempted [[w:Suicide|suicide]] and was hospitalised numerous times.

Ten years ago, after psychiatric hospitalisation, Helen began exploring spiritual practices with the guidance of a therapist. This helped her let go of early ideas of religion that reinforced [[w:Self-blame (psychology)|self-blame]]. She reflected, “[In the past] I would think ‘Well, I am separate and I am different because I have these challenges and the mental illness,’ and then I realized that everybody has something that they’re struggling with&quot; (Starnino, 2016, p. 380). She now views herself as “part of the universe, as part of humanity,” (Starnino, 2016, p. 380) which has supported her in meaning-making and positive adaptation.

Her new meaning in life derives from connection and growth. She said, “Before I would think, ‘God doesn’t like me.’ Now I see myself as being part of a greater, higher power that sort of makes me part of humanity&quot; (Starnino, 2016, p. 380). She also expressed belief in reincarnation, saying, “I do believe that when you die your spirit goes on to another adventure and you continue to work on what you’re supposed to learn&quot; (Starnino, 2016, p. 380). 

Currently, Helen employs spiritual coping mechanisms, including meditation, gratitude journaling, and time spent in nature, to support her well-being (Starnino, 2016, p. 381). She now finds purpose in advocacy and peer support, stating, “I found out that there is a purpose in my life and I can do things that I thought I couldn’t do before, and I can help other people&quot;(see Figure 6; Starnino, 2016, p. 381).  Helen’s story shows how spirituality can complicate recovery when linked to trauma and [[w:Psychosis|psychosis]], yet also play a vital role in reframing suffering, fostering resilience, and building a meaningful life (Starnino, 2016).

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==Conclusion==
Spirituality has a significant role in supporting mental health and emotional wellbeing. It provides a sense of meaning, purpose, and connection. Engaging in spiritual practices helps individuals manage emotions, reduce stress, and build resilience. Mindfulness and meditation, enhance awareness of thoughts and feelings, improve emotional regulation, and can reduce anxiety and depression (Farb et al., 2007; Hofmann et al., 2010).  Compassion and self-compassion strengthen resilience and life satisfaction (Neff &amp; Germer, 2013), while forgiveness reduces anger and stress, supporting emotional well-being (Worthington, 2007).

Humanistic theories, including Rogers’ (1980) focus on self-actualisation and Maslow’s hierarchy of needs, highlight how spirituality encourages personal growth and the pursuit of higher-level psychological needs (Louca et al., 2022). Case studies show spirituality can serve as a coping tool, offering comfort and resilience. However, it can also pose risks, particularly when linked to trauma or psychotic symptoms (Starnino, 2016; Weisman de Mamani et al., 2010).

Critiques emphasise that spirituality is not universally beneficial. Its effects vary depending on individual context, personal history, and cultural background. Evidence is mostly drawn from Westernised populations, which may not generalise to Eastern or alternative spiritual practices. Defining and measuring spirituality remains challenging, limiting research consistency. Engagement should be tailored to the individual, and avoid obsession to the beliefs.

The key message is that spirituality can support mental health when approached carefully. It offers tools for emotional regulation, meaning-making, and personal growth. Awareness of potential risks and cultural differences is essential. For personal development, selective and balanced engagement with spiritual practices can enhance resilience, wellbeing and mental health. 

==See also ==
* [[Motivation and emotion/Book/2023/Growth mindset and mental health|Growth mindset and mental health]] (Book chapter, 2023)
* [[w:Self determination theory|Self determination theory]] (Wikipedia)
* [[Motivation and emotion/Book/2011/Spiritual and religious motivation|Spiritual and religious motivation]] (Book Chapter, 2011) 

==References ==
{{Hanging indent|1=

Baetz M, Toews J. Clinical implications of research on religion, spirituality, and mental health. ''Canadian Journal of Psychiatry, 54''(5):292-301. [https://doi.org/10.1177/070674370905400503 https://doi.org/10.1177/070674370905400503] 

Barton, Y. A., &amp; Miller, L. (2015). Spirituality and positive psychology go hand in hand: An investigation of multiple empirically derived profiles and related protective benefits. ''Journal of Religion and Health, 54'', 829–843. [https://doi.org/10.1007/s10943-015-0045-2 https://doi.org/10.1007/s10943-015-0045-2]

Coelho-Júnior, H. J., Calvani, R., Panza, F., Allegri, R. F., Picca, A., Marzetti, E., &amp; Alves, V. P. (2022). Religiosity/spirituality and mental Health in older adults: A systematic review and meta-analysis of observational studies. ''Frontiers in Medicine, 9''. [https://doi.org/10.3389/fmed.2022.877213 https://doi.org/10.3389/fmed.2022.877213]

De Mamani, A. G. W., Tuchman, N., &amp; Duarte, E. A. (2010). Incorporating religion/spirituality into treatment for serious mental illness. ''Cognitive and Behavioral Practice, 17''(4), 348–357. [https://doi.org/10.1016/j.cbpra.2009.05.003 https://doi.org/10.1016/j.cbpra.2009.05.003] 

Farb, N. A. S., Segal, Z. V., Mayberg, H., Bean, J., McKeon, D., Fatima, Z., &amp; Anderson, A. K. (2007). Attending to the present: mindfulness meditation reveals distinct neural modes of self-reference. ''Social Cognitive and Affective Neuroscience, 2''(4), 313–322. [https://doi.org/10.1093/scan/nsm030 https://doi.org/10.1093/scan/nsm030]

Guynn, M. (2021). The art of actualization. ''Curiosity Interdisciplinary Journal of Research and Innovation''. [https://doi.org/10.36898/001c.28094 https://doi.org/10.36898/001c.28094]

Hofmann, S. G., Sawyer, A. T., Witt, A. A., &amp; Oh, D. (2010). The effect of mindfulness-based therapy on anxiety and depression: A meta-analytic review. ''Journal of Consulting and Clinical Psychology, 78''(2), 169–183.

Koenig, H. G. (2010). Spirituality and mental health. ''International Journal of Applied Psychoanalytic Studies, 7''(2), 116–122. [https://doi.org/10.1002/aps.239 https://doi.org/10.1002/aps.239]

Louca, E. P., Esmailnia, S., &amp; Thoma, N. (2022). Spirituality of the developing person according to Maslow. ''New Ideas in Psychology, 69'', 100994. [https://doi.org/10.1016/j.newideapsych.2022.100994 https://doi.org/10.1016/j.newideapsych.2022.100994]

Maslow, A. H. (1970). ''Motivation and personality'' (2nd ed.). Harper &amp; Row.

Neff, K. D., &amp; Germer, C. K. (2013). A pilot study and randomized controlled trial of the mindful self-compassion program. ''Journal of Clinical Psychology, 69''(1), 28–44.

Papaleontiou–Louca, E., Esmailnia, S., &amp; Thoma, N. (2021). A critical review of Maslow’s theory of spirituality. ''Journal of Spirituality in Mental Health, 24''(4), 327–343. [https://doi.org/10.1080/19349637.2021.1932694 https://doi.org/10.1080/19349637.2021.1932694]

Rogers, C. R. (1961). ''On becoming a person: A therapist's view of psychotherapy''. Boston: Houghton Mifflin Harcourt.

Rogers, C. R. (1980). ''A way of being''. Boston: Houghton Mifflin Harcourt.

Rusu, M. (2019). The process of self-realization—from the humanist psychology perspective. ''Psychology, 10''(08), 1095–1115. [https://doi.org/10.4236/psych.2019.108071 https://doi.org/10.4236/psych.2019.108071]

Shahina, G., &amp; Parveen, A. (2020). Role of spirituality in building up resilience and mental health among adolescents. ''Indian Journal of Positive Psychology, 11''(4).  

Starnino, V. R. (2016). When trauma, spirituality, and mental illness intersect: A qualitative case study. ''Psychological Trauma Theory Research Practice and Policy, 8''(3), 375–383 [https://psycnet.apa.org/doi/10.1037/tra0000105 https://psycnet.apa.org/doi/10.1037/tra0000105]

Verghese, A. (2008). Spirituality and mental health.''Indian Journal of Psychiatry, 50''(4), 233–237. [https://doi.org/10.4103/0019-5545.44742 https://doi.org/10.4103/0019-5545.44742]

Vitell, S. J., King, R. A., Howie, K., Toti, J., Albert, L., Hidalgo, E. R., &amp; Yacout, O. (2015). Spirituality, moral identity, and consumer ethics: A multi-cultural study. ''Journal of Business Ethics, 139''(1), 147–160. [https://doi.org/10.1007/s10551-015-2626-0 https://doi.org/10.1007/s10551-015-2626-0]

Westhead, M., &amp; Georgiades, A. (2025). The role of spirituality and religiosity in the maintenance and recovery of psychosis: A systematic review. ''Early Intervention in Psychiatry, 19''(7). [https://doi.org/10.1111/eip.70061 https://doi.org/10.1111/eip.70061] 

Wong, P. T. P. (2016). Meaning-seeking, self-transcendence, and well-being. In A. Batthyány (Ed.), ''Logotherapy and existential analysis: Proceedings of the Viktor Frankl Institute Vienna'' (Vol. 1,pp. 311–321). [https://doi.org/10.1007/978-3-319-29424-7%2027 https://doi.org/10.1007/978-3-319-29424-7_27]

Worthington, E. L., Van Oyen Witvliet, C., Pietrini, P., &amp; Miller, A. J. (2007). Forgiveness, health, and well-being: A review of evidence for emotional versus decisional forgiveness, dispositional forgivingness, and reduced unforgiveness. ''Journal of Behavioral Medicine, 30''(4), 291–302. [https://doi.org/10.1007/s10865-007-9105-8 https://doi.org/10.1007/s10865-007-9105-8]

Yonker, J. E., Schnabelrauch, C. A., &amp; DeHaan, L. G. (2011). The relationship between spirituality and religiosity on psychological outcomes in adolescents and emerging adults: A meta‐analytic review. ''Journal of Adolescence, 35''(2), 299–314. [https://doi.org/10.1016/j.adolescence.2011.08.010 https://doi.org/10.1016/j.adolescence.2011.08.010]

}}

==External links==
* [https://www.abc.net.au/listen/programs/godforbid/a-prayer-or-a-pill-exploring-mental-health-science-and-religion/14100642 ABC Radio National: A prayer or pill? Exploring mental health science and religion] (abc.net.au)
* [https://www.rcpsych.ac.uk/mental-health/treatments-and-wellbeing/spirituality-and-mental-health Spiritual health care] (rcpsych.ac.uk)
* [https://www.youtube.com/watch?v=lWePaMgaVZg What is Spirituality?] (YouTube)

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== Overview ==
{{RoundBoxTop|theme=8}} 
[[File:Doctor with Patient Cartoon.svg|thumb|'''Figure 1'''. A doctor consulting a patient.{{ic|Explain how this relates to spirituality and mental health or the scenario}}]]

;Scenario 

Brenda has advanced [[w:Bone tumor|bone cancer]]. Her doctors told her the [[w:Disease|disease]] had grown too aggressive for her body to fight alone (see Figure 1). Facing endless [[w:Chemotherapy|chemotherapy]], she felt  [[w:Anxiety|anxious]] and uncertain about the future. Hopelessness weighed heavily on her.

To cope, Brenda turned inward to her spirituality. She practised daily [[w:Meditation|meditation]], using body scans to release tension and reconnect with her body. [[w:Prayer|Prayer]] and [[w:Gratitude|gratitude]] became daily [[w:Ritual|rituals]], helping her notice small moments of meaning even amid suffering. These practices brought calm and a sense of control, allowing her to approach each day with steadier [[w:Emotion|emotions]]. She also found [[w:Social support|support]] in a local spiritual group. Sharing fears with others who understood her journey eased her sense of isolation and offered reassurance.

Over time, [[w:Spirituality|spirituality]] reshaped Brenda’s outlook. She shifted focus from her illness to purpose, connection, and [[w:Personal development|personal growth]]. Each meditation, prayer, and shared story helped her find [[w:Peace|peace]] and maintain [[w:Hope|hope]]. In a life filled with uncertainty, these practices became tools to navigate fear, [[w:Psychological resilience|strengthen resilience]], and preserve [[w:Dignity|dignity]]. Spirituality gave Brenda a framework to face [[w:Suffering|suffering]] without losing herself, and to discover meaning beyond the limits of her illness.

{{RoundBoxBottom}}

Spirituality provides people with a [[wikipedia:Meaning_of_life|sense of meaning]], purpose, and connection that goes beyond the material aspects of life. These shape how people see themselves and their role in the [[w:World|world]]. For some, spirituality supports [[wikipedia:Mental_health|mental health]] and emotional [[wikipedia:Well-being|well-being]] by reducing stress and improving emotion control (Verghese, 2008). For others, it can cause distress, especially when they associate their beliefs with feelings of guilt, punishment, or conflict (Koenig, 2012). 

Psychological theories help explain these mixed effects. [[wikipedia:Carl_Rogers|Carl Rogers']] [[wikipedia:Humanistic_psychology|humanistic approach]] shows that self-actualisation is crucial to personal growth and is often linked to spiritual experiences (Rogers, 1980). [[wikipedia:Maslow's_hierarchy_of_needs|Maslow's hierarchy of needs]] reinforces this by placing transcendence and [[Motivation and emotion/Textbook/Motivation/Self-actualisation|self-actualisation]] at the top of human motivation (Maslow, 1970). This illustrates how spirituality can either ease or hinder {{explain}} development. Together, these ideas demonstrate how spirituality can contribute to an individuals{{g}} mental health and emotional well-being (Louca et al., 2022).

{{RoundBoxTop|theme=11}}
; Focus questions

* What is spirituality? 
* How does spirituality promote emotional well-being through mindfulness, compassion, and forgiveness? 
* How do psychological theories explain the contribution of spirituality to mental health and well-being?
* How does current research support incorporating spirituality into the treatment of psychiatric disorders?

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==What is spirituality? ==
Spirituality includes a variety of personal held [[w:Belief|beliefs]] and [[w:Experience|experiences]] that involve a deep connection to a higher power or something larger than oneself. It includes a variety of beliefs and life experiences that relate to exploration, meaning, and purpose in the world (Verghese, 2008; Louca et al., 2022). 

[[File:Falun Dafa fifth meditation exercise.jpg|thumb|227x227px|Figure 2. Female {{ic|Why does assumed gender matter here?}} practising meditation]]

'''Important facets of spirituality consist of:'''
* ''Connection'': Feeling a connection to the cosmos, [[nature]], other people, a higher power, or even one's inner self is a common aspect of spirituality. This relationship can give rise to a feeling of understanding and [[w:Community|community]] that goes beyond daily existence (Wong, 2016).
* ''Meaning and purpose'': The search for life's meaning and purpose is frequently linked to spirituality{{f}}. It can offer responses to existential questions like &quot;What is my purpose?&quot; and &quot;Why am I here?&quot; This quest for purpose may shape choices, deeds, and a person's life's path in general (Wong, 2016).
* ''Transcendence:'' Experiences that transcend the [[w:Mundane|mundane]] or material world are often associated with spirituality{{f}}. This might include sensations of amazement, or a profound sense of serenity that comes from marvelling at the immensity of the cosmos, meditating, or having meaningful interactions with other people (Wong, 2016).
* ''[[w:Morality|Morality]] and Values:'' A lot of individuals look to their spiritual beliefs for their [[w:Moral|moral]] guidance and values{{f}}. People's perceptions of right and wrong, behaviour, and interactions with people and the outside environment can all be influenced by their spirituality (Vitell et al., 2015).
* ''Personal Development:'' Seeking self-improvement and personal growth is frequently associated with spirituality{{f}}. This might entail pursuing [[w:Knowledge|knowledge]], developing moral qualities like [[w:Forgiveness|forgiveness]] and [[w:Compassion|compassion]], and making an effort to improve oneself (Wong, 2016).
* ''Practices:'' A variety of activities, including [[yoga]] (see Figure 2), meditation, prayer, rituals, and acts of service, can be used to express spirituality{{f}}. 

Through these activities, people can develop a sense of inner strength, balance, and serenity as well as a deeper connection to their spiritual beliefs{{f}}. Spirituality may be found in many different forms and circumstances, both inside and outside of [[w:Religion|religion]]. It's about each person's path to [[w:Self-awareness|self-awareness]], meaning, and connection {{g}} these journeys can frequently result in improved mental, emotional, and even physical health (Verghese, 2008).

== Emotional regulation and spirituality: The role of mindfulness, compassion, and forgiveness ==
Spiritual activities or actions that involve [[mindfulness]], compassion and forgiveness can also offer important psychological advantages. They help people reduce [[Stress (psychological)|stress]], manage negative emotions, and encourage good emotions. [[w:Psychology|Psychology]] [[w:Research|research]] is increasingly recognising the importance of these spiritual activities in fostering mental and emotional well-being (Hofmann et al., 2010).

=== Mindfulness meditation ===
* With its origins in spiritual [[w:Tradition|traditions]] like [[Buddhism/Introduction|Buddhism]], mindfulness meditation has gained widespread recognition as a useful method in [[w:Psychotherapy|psychological therapy]] for [[w: Emotional self-regulation|regulating emotions]]. Being mindful entails focusing on the here and now while adopting an accepting, non-judgmental [[w:Mindset|mindset]]. People can respond to stress in healthier and more adaptable ways by developing this awareness, which makes them more conscious of their thoughts and feelings (Farb et al., 2007).
* An increasing amount of studies demonstrates how much mindfulness practices help with emotional control. Hofmann et al. (2010, conducted a [[w:Meta-analysis|meta-analysis]] of 39 papers to look at the effects of mindfulness-based treatment on [[wikipedia:Depression_(mood)|depression]] and anxiety. The findings showed that mindfulness plays a critical role in assisting people in controlling their negative emotions by dramatically reducing [[w:Signs and symptoms|symptoms]] of both anxiety and sadness.
* [[wikipedia:Functional_magnetic_resonance_imaging|Functional magnetic resonance imaging (fMRI)]] was employed in a study by Farb et al. (2007) to investigate the [[w:Brain|brain]] processes underlying mindfulness. The study discovered that self-referential processing and emotional regulation-related alterations in brain activity were linked to mindfulness training. Individuals who engaged in mindfulness practices demonstrated improved emotional regulation, especially under pressure, and a higher level of awareness of their emotional states.

=== Compassion ===
* Another essential comp{{f}}onent of many spiritual traditions is compassion, which is acknowledging one's own and other people's pain and acting with kindness and a wish to lessen that suffering. Neff and Germer's (2013) study investigated how a [[wikipedia:Self-compassion|self-compassion]] training programme affected participants' emotional health. According to the study, those who practiced self-compassion showed large improvements in life satisfaction along with significant decreases in stress, anxiety, and despair. By treating oneself with the same consideration and understanding that they would provide to a friend, people who practice self-compassion are able to protect themselves from the damaging effects of stress and foster emotional resilience.

=== Forgiveness ===
* Forgiveness, a practice emphasised in many spiritual traditions, involves letting go of [[wikipedia:Anger|anger]], resentment, and the [[w:Desire|desire]] for [[wikipedia:Revenge|revenge]] toward someone who has caused harm{{f}}. Forgiveness is a powerful tool for emotional regulation, as it allows individuals to release negative emotions and move toward emotional [[w:Healing|healing]] and peace{{f}}. A study by Worthington et al. (2007) reviewed the psychological and physiological effects of forgiveness and found that individuals who practised forgiveness experienced lower levels of stress and improved emotional regulation. The act of forgiveness helps to diminish the emotional burden of holding onto negative emotions, thereby promoting a more balanced and positive emotional state{{f}}.

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;Quiz
&lt;quiz display=&quot;simple&quot;&gt;
{Research shows that mindfulness practices can strengthen emotional regulation and reduce symptoms of depression and anxiety:
|type=&quot;()&quot;}
+ True
- False

{Practising compassion has been shown to increase stress and decrease life satisfaction:
|type=&quot;()&quot;}
- True
+ False
&lt;/quiz&gt;

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== Theoretical underpinnings ==
[[File:Carl Ransom Rogers.jpg|thumb|Figure 3. Carl Rogers{{ic|Explain how this relates to spirituality and mental health}}]]

[[w: Theoretical psychology|Psychology's theoretical foundations]] provide insights into the relationship between spirituality and mental health. They show how spiritual practices and beliefs can contribute to psychological and emotional well-being. One of the most influential perspectives is Carl Rogers' humanistic approach, which places a strong emphasis on the idea of self-actualisation (Rusu, 2019) {{ic|Rogers focused on the fully functioning person; Maslow focused on self-actualisation}}. The process of reaching one's full potential and becoming the most authentic version of oneself{{g}}. According to Rogers (see Figure 3), the pursuit of self-actualisation is an intensely personal and unique path on which the person aspires to become their most genuine self (Rusu, 2019). Similarly, Maslow's hierarchy of needs (1970) offers a motivational framework through which spirituality can support multiple levels of human development, from [[w:Belongingness|belongingness]] and esteem to self-actualisation and self-transcendence (see Figure 4). 

=== Carl Rogers' humanistic approach and spirituality ===
Rogers (1961, 1980) argued that psychological well-being stems from self-awareness, [[w:Autonomy|autonomy]], and personal growth, with self-actualisation as the pinnacle of development. Spiritual experiences, such as moments of profound [[w:Insight|insight]] or connection, may foster this process by encouraging individuals to explore values, beliefs and purpose (Guynn, 2021). Practices that nurture compassion, forgiveness, and self-acceptance reflect Rogers' concept of unconditional positive regard, supporting emotional resilience and alignment with authentic ideals. 

Several studies provide evidence that spirituality can support mental health and emotional well-being, though the benefits may be limited and dependent on the context. Baetz and Toews (2009) found that spirituality often promotes emotional coping, emotional regulation and [[w:Social connection|social connectedness]], yet it can also heighten [[w:Mental distress|distress]] when beliefs are experienced as punishing or conflictual. Similarly, Coelho-Júnior et al. (2022) [[w:Systematic review|systematically reviewed]] 102 [[w:Observational study|observational studies]] involving nearly 80,000 older adults. It was found that higher religiosity and spirituality were associated with lower depression and anxiety, greater life satisfaction, enhanced meaning in life and stronger social relationships. These findings are consistent with Roger's humanistic perspective, suggesting that engaging in spiritual practices can foster self-awareness, personal growth, and the pursuit of meaningful goals, thereby supporting both mental and emotional well-being.   

Critically, it is important to recognise that most of the evidence was obtained from observational studies, so causality cannot be assumed. How spirituality is defined also differs across the studies, and outcomes are shaped by [[w:Culture|cultural]] and age-related factors. Overall, Rogers' humanistic framework helps to understand how spirituality can support personal growth and emotional resilience, but these benefits are highly individual and conditional. 

{{RoundBoxTop|theme=2}} 
'''Quiz'''
&lt;quiz display=&quot;simple&quot;&gt;
{Baetz and Toews (2009) suggest that spirituality can sometimes increase distress if beliefs are experienced as punishing or conflictual:
|type=&quot;()&quot;}
+ True
- False

{Rogers’ framework implies that all individuals will benefit equally from spiritual engagement regardless of their cultural or personal context:
|type=&quot;()&quot;}
- True
+ False
&lt;/quiz&gt;

{{RoundBoxBottom}}

=== Maslow's hierarchy of needs and spirituality ===
[[File:Maslow's Hierarchy of Needs Diagram.png|thumb|606x606px|Figure 4. Diagram of Maslow's Hierarchy of Needs]]

Roger's emphasis on personal growth and the experiential nature of self-actualisation closely connect with Maslow's hierarchy of needs (Rogers, 1980). This model (see Figure 4) begins with physiological and safety needs, followed by belonging, esteem, and self-actualisation, with later models also recognising self-transcendence (Maslow, 1970). Spiritual practices, such as participating in communal activities and engaging in personal growth, can support a sense of belonging and enhance self-esteem (Barton &amp; Miller, 2015). Reflecting on meaning and purpose can support self-actualisation and transcendence (Louca et al., 2022). 

A meta-analysis by Yonker et al. (2011) reported small to moderate positive effects of spirituality on well-being (''r'' = 0.16) and self-esteem (''r'' = 0.11). Also noted were reductions in behavioural and depressive symptoms among over 66,000 [[w:Adolescence|adolescents]] and [[w:Emerging adulthood and early adulthood|emerging adults]]. Although effect sizes are relatively small, these results suggest that spiritual engagement contributes positively to psychological development. This study highlighted practices such as attending religious services, engaging in prayer or meditation, and participating in [[w:Volunteering|volunteering]]. By engaging in these practices, individuals can improve their mental health and emotional well-being, moving toward self-actualisation.     

Similarly, not all forms of spirituality have positive effects on well-being. Koenig (2012) warned that negative religious coping, such as viewing illness as a divine punishment or feeling abandoned by a faith community, can increase anxiety and depression. In some vulnerable individuals, it may also lead to [[w:Hallucination|hallucinations]]. Struggles with guilt, or conflict with religious [[w:Institution|institutions]], including experiences of church-related harm or difficulty with forgiveness, are linked to greater psychological distress and [[w:Suicidal ideation|suicidal thoughts]]. Spirituality can sometimes foster a sense of belonging, esteem, and meaning (Koenig, 2012). However, it is not always beneficial, and negative coping or conflicts can worsen mental health and increase psychological distress (Koenig, 2012).     

These findings align with Maslow's framework, indicating that spiritual engagement can be utilised as a practical tool to meet higher-level psychological needs. However, Koenig (2012) highlights that spirituality is not universally beneficial and can have negative contributions to mental health. It's also important to consider that most studies were correlational, and one was observational, which limits causal claims. Effects varied by age, ethnicity, and measurement method (specifically, the definition of spirituality), and most participants were predominantly from Western/Christian geographical locations. This highlights the need to consider sociocultural and individual factors when applying Maslow's model to spirituality's role in mental health and emotional well-being.

== Mechanisms linking spirituality and mental health ==
[[file:Sincrodestinos ( el tímido despertar de una misión).jpg |thumb|225x225px|'''Figure 5'''. A depiction of imagery associated with visual hallucinations, illustrating how perceptual experiences in psychosis may be vivid, distorted, and subjectively interpreted in the context of spiritual or religious beliefs).]]

For people with psychiatric disorders, spirituality can provide meaning, hope, and resilience (Shahina &amp; Parven, 2020). At the same time, spiritual experiences can overlap with symptoms of [[wikipedia:Schizophrenia|schizophrenia]], such as hallucinations (see Figure 5; Westhead &amp; Georgiades, 2025). Research highlights both the potential benefits and risks of incorporating spirituality as a treatment tool for psychiatric disorders.

Starnino’s (2016) qualitative [[wikipedia:Case_study|case study]] used a hermeneutic phenomenological approach to gain an in-depth understanding of the relationship between spirituality and mental health. The study carefully examined the experiences of two individuals (James and Helen) with severe [[wikipedia:Psychological_trauma|traumatic experiences]] and psychiatric conditions like schizophrenia. To help manage his symptoms, James practices spiritual activities such as meditation, prayer, and creating artwork. However, he noted that his spiritual beliefs were also closely linked to his [[wikipedia:Psychosis|psychotic]] symptoms. Specifically, the voices he kept hearing were interpreted as “[[wikipedia:Demon|demons]]”, telling him he “is in a battle of good vs evil” (Starnino, 2016). The case illustrates how spirituality can act as a coping mechanism while also potentially reinforcing psychotic experiences. It highlights the importance of clinical consideration when spirituality and mental health intersect.

Similarly, a study by Weisman de Mamani et al. (2010) investigated the spirituality in [[wikipedia:Psychotherapy|psychotherapy]] for patients with schizophrenia from [[w:Minority group|minority populations]] in the [[wikipedia:United_States|United States]]. Positive effects were observed with religious coping strategies, including practices such as prayer, meditation, and listening to spiritual music. These practices led to a reduction in patient symptoms, improved stress management, increased hope, and a greater sense of meaning in life. Negative outcomes occurred when spiritual beliefs intensified psychotic symptoms. Examples include interpreting hallucinations as direct messages from God or viewing mental illness as punishment. 

Together, these studies demonstrate that spirituality contributes to mental health outcomes in complex ways. Critically, these findings reinforce the importance of understanding individual experiences. [[w:Clinician|Clinicians]] also need to consider the nature of the psychiatric symptoms before integrating spiritual practices into treatment. Without careful assessment, spiritual practices can contribute to negative mental health outcomes such as hallucinations.

{{RoundBoxTop|theme=5}}
'''Case study'''
[[File:Helping the homeless.jpg|thumb|'''Figure 6'''. Two women are helping a homeless man by donating items to him.]]

Helen is a 42-year-old [[w:Christians|Christian]] female with a history of severe trauma and schizoaffective disorder. She was raised with a strict view of God. As a result, she viewed her life through a religious lens. In her teenage years, she was sexually abused by a [[w:Family|family]] member. She believed this was punishment from God because she “had [[w:Sin|sinned]] in some way&quot; (Starnino, 2016, p. 376).

In her early 20s, Helen began to experience hallucinations and voices paired with [[w:Flashback (psychology)|flashbacks]] of the abuse. She said, “I heard voices saying that I was selected ... I believed I deserved what was happening to me&quot; (Starnino, 2016, p. 376). During this period, she attempted [[w:Suicide|suicide]] and was hospitalised numerous times.

Ten years ago, after psychiatric hospitalisation, Helen began exploring spiritual practices with the guidance of a therapist. This helped her let go of early ideas of religion that reinforced [[w:Self-blame (psychology)|self-blame]]. She reflected, “[In the past] I would think ‘Well, I am separate and I am different because I have these challenges and the mental illness,’ and then I realized that everybody has something that they’re struggling with&quot; (Starnino, 2016, p. 380). She now views herself as “part of the universe, as part of humanity,” (Starnino, 2016, p. 380) which has supported her in meaning-making and positive adaptation.

Her new meaning in life derives from connection and growth. She said, “Before I would think, ‘God doesn’t like me.’ Now I see myself as being part of a greater, higher power that sort of makes me part of humanity&quot; (Starnino, 2016, p. 380). She also expressed belief in reincarnation, saying, “I do believe that when you die your spirit goes on to another adventure and you continue to work on what you’re supposed to learn&quot; (Starnino, 2016, p. 380). 

Currently, Helen employs spiritual coping mechanisms, including meditation, gratitude journaling, and time spent in nature, to support her well-being (Starnino, 2016, p. 381). She now finds purpose in advocacy and peer support, stating, “I found out that there is a purpose in my life and I can do things that I thought I couldn’t do before, and I can help other people&quot;(see Figure 6; Starnino, 2016, p. 381).  Helen’s story shows how spirituality can complicate recovery when linked to trauma and [[w:Psychosis|psychosis]], yet also play a vital role in reframing suffering, fostering resilience, and building a meaningful life (Starnino, 2016).

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==Conclusion==
Spirituality has a significant role in supporting mental health and emotional wellbeing. It provides a sense of meaning, purpose, and connection. Engaging in spiritual practices helps individuals manage emotions, reduce stress, and build resilience. Mindfulness and meditation, enhance awareness of thoughts and feelings, improve emotional regulation, and can reduce anxiety and depression (Farb et al., 2007; Hofmann et al., 2010).  Compassion and self-compassion strengthen resilience and life satisfaction (Neff &amp; Germer, 2013), while forgiveness reduces anger and stress, supporting emotional well-being (Worthington, 2007).

Humanistic theories, including Rogers’ (1980) focus on self-actualisation and Maslow’s hierarchy of needs, highlight how spirituality encourages personal growth and the pursuit of higher-level psychological needs (Louca et al., 2022). Case studies show spirituality can serve as a coping tool, offering comfort and resilience. However, it can also pose risks, particularly when linked to trauma or psychotic symptoms (Starnino, 2016; Weisman de Mamani et al., 2010).

Critiques emphasise that spirituality is not universally beneficial. Its effects vary depending on individual context, personal history, and cultural background. Evidence is mostly drawn from Westernised populations, which may not generalise to Eastern or alternative spiritual practices. Defining and measuring spirituality remains challenging, limiting research consistency. Engagement should be tailored to the individual, and avoid obsession to the beliefs.

The key message is that spirituality can support mental health when approached carefully. It offers tools for emotional regulation, meaning-making, and personal growth. Awareness of potential risks and cultural differences is essential. For personal development, selective and balanced engagement with spiritual practices can enhance resilience, wellbeing and mental health. 

==See also ==
* [[Motivation and emotion/Book/2023/Growth mindset and mental health|Growth mindset and mental health]] (Book chapter, 2023)
* [[w:Self determination theory|Self determination theory]] (Wikipedia)
* [[Motivation and emotion/Book/2011/Spiritual and religious motivation|Spiritual and religious motivation]] (Book Chapter, 2011) 

==References ==
{{Hanging indent|1=

Baetz M, Toews J. Clinical implications of research on religion, spirituality, and mental health. ''Canadian Journal of Psychiatry, 54''(5):292-301. [https://doi.org/10.1177/070674370905400503 https://doi.org/10.1177/070674370905400503] 

Barton, Y. A., &amp; Miller, L. (2015). Spirituality and positive psychology go hand in hand: An investigation of multiple empirically derived profiles and related protective benefits. ''Journal of Religion and Health, 54'', 829–843. [https://doi.org/10.1007/s10943-015-0045-2 https://doi.org/10.1007/s10943-015-0045-2]

Coelho-Júnior, H. J., Calvani, R., Panza, F., Allegri, R. F., Picca, A., Marzetti, E., &amp; Alves, V. P. (2022). Religiosity/spirituality and mental Health in older adults: A systematic review and meta-analysis of observational studies. ''Frontiers in Medicine, 9''. [https://doi.org/10.3389/fmed.2022.877213 https://doi.org/10.3389/fmed.2022.877213]

De Mamani, A. G. W., Tuchman, N., &amp; Duarte, E. A. (2010). Incorporating religion/spirituality into treatment for serious mental illness. ''Cognitive and Behavioral Practice, 17''(4), 348–357. [https://doi.org/10.1016/j.cbpra.2009.05.003 https://doi.org/10.1016/j.cbpra.2009.05.003] 

Farb, N. A. S., Segal, Z. V., Mayberg, H., Bean, J., McKeon, D., Fatima, Z., &amp; Anderson, A. K. (2007). Attending to the present: mindfulness meditation reveals distinct neural modes of self-reference. ''Social Cognitive and Affective Neuroscience, 2''(4), 313–322. [https://doi.org/10.1093/scan/nsm030 https://doi.org/10.1093/scan/nsm030]

Guynn, M. (2021). The art of actualization. ''Curiosity Interdisciplinary Journal of Research and Innovation''. [https://doi.org/10.36898/001c.28094 https://doi.org/10.36898/001c.28094]

Hofmann, S. G., Sawyer, A. T., Witt, A. A., &amp; Oh, D. (2010). The effect of mindfulness-based therapy on anxiety and depression: A meta-analytic review. ''Journal of Consulting and Clinical Psychology, 78''(2), 169–183.

Koenig, H. G. (2010). Spirituality and mental health. ''International Journal of Applied Psychoanalytic Studies, 7''(2), 116–122. [https://doi.org/10.1002/aps.239 https://doi.org/10.1002/aps.239]

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Neff, K. D., &amp; Germer, C. K. (2013). A pilot study and randomized controlled trial of the mindful self-compassion program. ''Journal of Clinical Psychology, 69''(1), 28–44.

Papaleontiou–Louca, E., Esmailnia, S., &amp; Thoma, N. (2021). A critical review of Maslow’s theory of spirituality. ''Journal of Spirituality in Mental Health, 24''(4), 327–343. [https://doi.org/10.1080/19349637.2021.1932694 https://doi.org/10.1080/19349637.2021.1932694]

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Shahina, G., &amp; Parveen, A. (2020). Role of spirituality in building up resilience and mental health among adolescents. ''Indian Journal of Positive Psychology, 11''(4).  

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}}

==External links==
* [https://www.abc.net.au/listen/programs/godforbid/a-prayer-or-a-pill-exploring-mental-health-science-and-religion/14100642 ABC Radio National: A prayer or pill? Exploring mental health science and religion] (abc.net.au)
* [https://www.rcpsych.ac.uk/mental-health/treatments-and-wellbeing/spirituality-and-mental-health Spiritual health care] (rcpsych.ac.uk)
* [https://www.youtube.com/watch?v=lWePaMgaVZg What is Spirituality?] (YouTube)

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__TOC__

==Overview ==
{{RoundBoxTop|theme=3}}
[[File:Ayahuasca prep.JPG|thumb|Figure 1. Ayahuasca being prepared in [[wikipedia:Ecuador|Ecuador]]|200x200px]]

;Scenario

Imagine you are at the point in your life where your career is thriving, and everything is falling into place the way it should. Then, on a fateful day, you receive a cancer diagnosis. Once the shock of such news dissipates, you are left with a novel of questions –

“Am I going to die?” “What does this mean for my future?” “Do I have a future?” “What about my family?” “What about my career?”  “What about me?”

These are just a few questions that would whirlwind through one’s mind after such a diagnosis, which was no different for Margaret de Wys. In 1999, at the peak of her career, Margaret’s life was seemingly on the right path until she was tragically diagnosed with breast cancer. All she knew was that she did not want to die. On a mission to seek healing, Margaret was invited to a Mayan ceremony. To this day, Margaret does not know why she said yes; all she knows is that she felt a pull – an attraction of sorts that was prompting her to go. So, off Margaret went. No one at this ceremony knew that Margaret had just received such a fateful diagnosis. Though a man named Carlos, a Shuar healer from the Amazon Jungle looked at Margaret and said{{g}},

“I see inside you—your veins, organs, blood, and cells. Black smoke is trapped in your breast. Come to Ecuador, and I will heal you.” (Louis, 2010)

This decision would forever change Margaret’s life. To the point where she claims it saved her life and cured her of her cancer{{g}}.{{RoundBoxBottom}}

One of the [[wikipedia:Shamanism|sharmic]] treatments given to Margaret was [[wikipedia:Ayahuasca|Ayahuasca]] (see Figure 1.=), a traditional [[wikipedia:South_America|South American]] [[wikipedia:Psychoactive_drug|psychoactive]] beverage. Many individuals have claimed that Ayahuasca saved their lives and cured them of physical and or mental ailment/s. Ayahuasca's methodology is a somewhat contentious topic in the [[wikipedia:Western_world|Western world]], as there is yet to be an established basis for what it does beyond influencing one's psyche as is yet to be evidenced beyond individual testimony{{g}}. Psychedelic use raises a multitude of questions, but primarily, what are the neurological effects of ayahuasca on the brain?

{{RoundBoxTop|theme=3}}
'''Focus questions:'''
* What is ayahuasca? 
* What are psychedelics?
* What are the neurological effects of ayahuasca on the brain?
* Why do people seek out ayahuasca as a form of treatment?
{{RoundBoxBottom}}

== What is ayahuasca? ==
Ayahuasca is a potent South American plant with a rich cultural history. [[wikipedia:Indigenous_peoples_of_the_Americas|Indigenous]] populations of the [[wikipedia:Amazon_basin|Amazon]] have used it for centuries for spiritual and medicinal purposes (Domínguez-Clavé et al., 2016). Ayahuasca is made from a unique combination of two ingredients, typically the [[wikipedia:Banisteriopsis_caapi|Banisteriopsis caapi vine]] and the leaves of the [[wikipedia:Psychotria_viridis|Psychotria Viridis plant]]. The Banisteriopsis caapi acts as a [[wikipedia:Monoamine_oxidase_inhibitor|monoamine oxidase inhibitor]] (MAOI), and the leaves of the Psychotria Viridis plant contain high levels of [[wikipedia:N,N-Dimethyltryptamine|''N'', ''N''-dimethyltryptamine]] (more familiarly known as DMT). When brewed together, the inhibition of MAOI by banisteriopsis caapi acts as a bioactivation for the DMT in the Psychotria Viridis leaves (Malcolm &amp; Lee, 2017, p. 43), promoting [[wikipedia:Antidepressant|anti-depressant]] effects. Once consumed, ayahuasca causes intense psychological experiences, typically come in the form of hallucinations and emotional insight{{f}}. 

&lt;quiz display=&quot;simple&quot;&gt;
{Where does ayahuasca originate from?
|type=&quot;[]&quot;}
+ South America
|| '''Correct!''' ding ding ding! 
- North America
|| '''Incorrect!''' Too bad… wamp wamp
- Asia
|| '''Incorrect!''' Too bad… wamp wamp 
- Australia
|| '''Incorrect!''' Too bad… wamp wamp
&lt;/quiz&gt;

== How do [[wikipedia:Psychedelic_drug|psychedelics]] effect the brain? ==
{{expand}}

=== What are psychedelics? ===
Psychedelics are a class of psychoactive substances known for their ability to alter perception, mood, and cognitive processes. Commonly referred to as &quot;[[wikipedia:Hallucinogen|hallucinogens]],&quot; these substances can induce profound changes in consciousness, often leading to experiences characterised by altered sensory perceptions, vivid visual or auditory hallucinations, and shifts in thought patterns (Kelmendi et al., 2022).

'''Table 1.'''

''Caption Goes Here''

{| class=&quot;wikitable&quot;
|+
!Most common psychedelics
!What they are derived from
!Their chemical compound
|-
|[[wikipedia:LSD#:~:text=Lysergic%20acid%20diethylamide%2C%20commonly%20known,%2C%20emotions%2C%20and%20sensory%20perception.|LSD (lysergic acid diethylamide)]]
|[[wikipedia:Ergot|Ergot]] fungus
|[[File:1-valeryl-lysergic-acid-diethylamide.png|thumb|197x197px|Figure 2. Structural formula of LSD]]
|-
|[[wikipedia:Psilocybin|Psilocybin]]
|[[wikipedia:Psilocybin_mushroom#:~:text=Psilocybin%20mushrooms%2C%20commonly%20known%20as,turns%20into%20psilocin%20upon%20ingestion.|Psilocybin mushrooms]] (also known as &quot;magic mushrooms&quot;)
|[[File:Psilocybin Structural Formulae V.1.svg|thumb|150x150px|Figure 3. Structural formula of psilocybin ]]
|-
|[[wikipedia:Mescaline|Mescaline]]
|Several species of [[wikipedia:Psychoactive_cactus|cacti]], such as [[wikipedia:Peyote|peyote]] 
|[[File:Mescaline Structural Formula.svg|thumb|Figure 4. Structural formula of mescaline ]]
|-
|DMT (dimethyltryptamine)
|A various plants, including but not limited to [[wikipedia:Virola_elongata|virola elongata]] bark and [[wikipedia:Anadenanthera_peregrina|anadenanthera peregrina]]
|[[File:DMT.svg|thumb|Figure 5. Structural formula of DMT. |180x180px]]
|}

=== How do psychedelics work? ===
The effects of psychedelics are attributed to their interaction with the brain’s [[wikipedia:Neurotransmitter|neurotransmitter]] systems, particularly [[wikipedia:Serotonin|serotonin]]. The primary serotonin receptor that is affected by psychedelics is the [[wikipedia:5-HT2A_receptor|5-HT2A receptor]] (Johnson et al., 2019). This receptor is a subtype of the serotonin receptor family. It is primarily located in the brain’s [[wikipedia:Cerebral_cortex|cerebral cortex]] and other cognition, emotion, and perception regions. It is closely linked to the characteristic effects of psychedelics, such as heightened sensory perception, emotional shifts, and altered thinking patterns. When consumed, psychedelics act as [[wikipedia:Agonist|agonists]] at the 5-HT2A receptor. This binding leads to a cascade of intracellular events that result in altered neurotransmitter release and enhanced [[wikipedia:Synapse|synaptic]] communication{{f}}.  

== The neurological effects of ayahuasca ==
{{expand}}

=== Increased [[wikipedia:Neuroplasticity|neuroplasticity]] ===

Ayahuasca activates neurotransmitter systems, particularly serotonin receptors. The activation of the 5-HT2A receptor, in particular, enhances synaptic signalling and communication between [[wikipedia:Neuron|neurons]]. Due to this, it is believed and reported that ayahuasca promotes functional and structural neuroplasticity (Mallaroni et al., 2023).

Neuroplasticity is the brain’s ability to reorganise itself. It does this by forming new synapses and strengthening existing ones. This can be due to life experiences, building on skills or learning new ones, or, as new research developments are suggesting, external sources, such as psychedelics.

In their 2021 study, Cato M. H. de Vos and colleagues investigated this by performing a systematic review of the biological dynamics of psychedelics. Due to gaps and relevancy, only 20 studies were used out of their initial 344. Their review found that “expression of plasticity-related genes and proteins, including [[wikipedia:Brain-derived_neurotrophic_factor|Brain-Derived Neurotrophic Factor]] (BDNF), is changed after a single administration of psychedelics, resulting in changed neuroplasticity” (de Vos et al., 2021, p. 1). BDNF is a protein and it plays a significant role in neuron survival and adaption, especially in regulating neurotransmitters and neuroplasticity (Bathina &amp; Das, 2015, p.1164).

{{RoundBoxTop|theme=3}}Thinking time!
It could be hypothesised that due to the “new life perspective” that many ayahuasca users claim to experience, they are encouraged to change their behaviour or emotional approach to specific situations due to the psychedelic impact on BDNF, resulting in neuroplasticity.{{RoundBoxBottom}}[[File:Default Mode Network Connectivity.png|thumb|Figure 6. The main regions of the DMN network (highlighted yellow). ]]

=== Changes in [[wikipedia:Default_mode_network|default mode network]] (DMN) ===
The Default Mode Network (DMN) is a network of brain regions: the [[wikipedia:Prefrontal_cortex|prefrontal cortex]], [[wikipedia:Insular_cortex|insular cortex]], [[wikipedia:Inferior_parietal_lobule|inferior parietal lobule]], [[wikipedia:Temporal_lobe|lateral temporal cortex]], [[wikipedia:Posterior_cingulate_cortex|posterior cingulate]]/[[wikipedia:Retrosplenial_cortex|retrosplenial cortex]], the extended [[wikipedia:Hippocampal_formation|hippocampal formation]], [[wikipedia:Dorsomedial_prefrontal_cortex|dorsomedial prefrontal cortex]], and [[wikipedia:Ventromedial_prefrontal_cortex|ventromedial prefrontal cortex]]) (Buckner, 2013, p. 351-352) (see Figure 6.). It is most active when a person is at rest and not focused on the external environment. It is associated with [[wikipedia:Daydreaming|daydreaming]], [[wikipedia:Narrative_identity|narrative identity]], and [[wikipedia:Mind-wandering|mind wandering]].

In their 2022 systematic review, James J. Gattuso and colleagues found that across psychedelics, including ayahuasca, there is a “consistent disruption in resting-state connectivity within the DMN and increased functional connectivity between canonical resting-state networks” (p. 155).

This disruption in DMN activity appears to be one of the reasons why those who partake in ayahuasca experience psychedelic phenomena such as [[wikipedia:Ego_death|ego death]], insight and sensory perceptions, and shifts in perspective and habitual thoughts.

=== Altered perception ===
When using psychedelics, it is very common to experience sensory-perceptual alteration - a chnage{{sp}} in how sensory stimuli are experienced, accompanied by an atypical reaction to those [[wikipedia:Stimulus_(physiology)|stimuli]]. This can manifest as heightened, diminished, or distorted perceptions in a person's hearing, vision, touch, smell, or kinaesthetic response (Khan &amp; Khan, 2021). It can also impact [[wikipedia:Time_perception|perception of time]] and [[wikipedia:Emotional_responsivity|emotional responses]].

==== Visual and auditory hallucinations ====
Visual and auditory hallucinations (such as seeing geometric shapes, complex imagery, bright colours, and sounds and music that are not present) are the most common side effects of psychedelic use due to increased neural activity and altered processing in visual and auditory pathways. This further plays into warping one’s perception of time, as hallucinations may feel long-lasting or like the person is moving slowly.  

===== &quot;Grandmother&quot; ayahuasca =====
A common phenomenon among ayahuasca users is interacting with &quot;Grandmother Ayahuasca.&quot; Grandmother Ayahuasca is regarded as a benevolent spirit who is consistently wise and maternal yet firm in its personification.

[[File:Snake.wiki (AI image, credit to Canva).png|thumb|Figure 7. Grandmother Ayahuasca appears in many forms, though a participant in Dr Rachel Harris' 2017 longitudinal study said that to them, Grandmother Ayahuasca appeared in the form of a snake.]]

Though {{g}} arguably a hallucination, Grandmother Ayahuasca is often described as a spirit or entity encountered during ayahuasca experiences, guiding participants through their “[[wikipedia:Psychedelic_experience|trip]]”. Each encounter with Grandmother Ayahuasca and its perceived form depends on the user’s beliefs and the context of their experience (see Figure 7.).   

In her 2017 book &quot;Listening to Ayahuasca: New Hope for Depression, Addiction, PTSD, and Anxiety&quot;, Dr Rebecca Harris conducted a questionnaire-based observational study that measured the long-term therapeutic effects of ayahuasca. Many individuals she interviewed reported significant improvements in mental health issues, substance abuse problems, and traumatic experiences. Harris also recounted her own experiences with ayahuasca, particularly with Grandmother Ayahuasca. Harris credited Grandmother Ayahuasca for providing her with wisdom and insight into past traumas and guidance and research concepts for this book.

After encountering Grandmother Ayahuasca, many people in Harris' study felt that they had gained great insight into themselves, were able to heal from ailments (mental and physical), gained wisdom and guidance for their life plans, and gained a deeper understanding of their lives and traumas. Many attributed these breakthroughs to Grandmother Ayahuasca and continue believing they have a lifelong connection and solitude with this mysterious spirit. 

==== [[wikipedia:Cognitive_flexibility|Cognitive flexibility]] and [[wikipedia:Mindfulness|mindfulness]] ====
Harris’s 2017 book is not the only body of work that has come across consistent evidence of psychedelics showing great therapeutic potential.

Many studies are investigating the therapeutic effects of ayahuasca use and are finding that it has much potential to be investigated. Such studies include A Murphey-Beiner and K Soar's 2019 piece, where 48 participants' cognitive flexibility and mindfulness were measured before and after consuming ayahuasca. Results showed that both cognitive flexibility and mindfulness had significantly improved in the 24 hours after ayahuasca use compared to before participants had taken it (p. 1165). 

These results showed great promise in what is considered the “[[wikipedia:Afterglow_(drug_culture)|afterglow]]” period after using psychedelics.

== Lingering effects after ayahuascaa ==
{{expand}}

=== Psychedelic afterglow ===
In drug use, &quot;afterglow&quot; refers to the positive feelings and heightened emotional or mental clarity that often follow the primary effects of a psychoactive substance. Few studies have investigated the adverse effects of afterglow; however, many positive aspects have been documented.  

In their 2023 systematic review, Ricarda Evens and colleagues found that across &quot;48 studies, summing to 1,1774 participants, reductions in psychopathological symptoms; increases in well-being, mood, mindfulness, social measures, spirituality, and positive behavioural changes; mixed changes in personality/values/attitudes, and creativity/flexibility&quot; (p. 1). These effects lasted for different periods depending on what was measured (i.e., stress, depression, grief). Typically, afterglow effects last anywhere from one day to a month.

None of the studies that provided multiple &quot;subacute assessment points reported opposing findings (e.g., decreased depression at one and increased depression at another subacute assessment point)&quot; (p.13), making it difficult to gauge the true impact of afterglow.

&lt;quiz display=&quot;simple&quot;&gt;
{The effects of afterglow are consistent across all drug users:
|type=&quot;()&quot;}
- True
+ False
&lt;/quiz&gt;

== Why do people seek out ayahuasca as a form of treatment? ==
{{expand}}

=== Mental health and therapeutic insights ===
People seek out ayahuasca for several reasons, some of which have been mentioned. Traditionally, ayahuasca is used in cultural ceremonies by South American communities and tribes. Though {{g}} in more modern, westernised times, it is more commonly sought to aid in resolving mental health issues and therapeutic insights.{{f}}

==== [[wikipedia:Depression_(mood)|Depressive disorders]] ====
[[File:Depression man.png|thumb|300x300px|Figure 8. Drawing of a hunched-over silhouette representing how one loses pieces of themselves to depression]]

Depression is one of the most commonly diagnosed mental health disorders, coming in many forms and varieties (see Figure 8.). Unfortunately, researchers do not know precisely where depression is localised in the brain, though it is hypothesised that it is active in many brain regions simultaneously (Pandya et al., 2012, p. 641).  

In an attempt to simplify the complexity of this disorder, Dean and Keshavan (2016) consider depression as a “united syndrome” (p. 101) and raise the most common neurological trends of most (if not all) depressive disorders, such as altered neurotransmission, [[wikipedia:Hypothalamic–pituitary–adrenal_axis|HPA axis]] abnormalities, reduced neuroplasticity, and general network dysfunction - all aspects mentioned earlier that are increased under ayahuasca intake. 

To truly put ayahuasca's therapeutic potential to the test, in 2018, Fernanda Palhano-Fontes and colleagues conducted a &quot;parallel-arm, double-blind, randomised, placebo-controlled trial in 29 patients with [[wikipedia:Treatment-resistant_depression|treatment-resistant depression]]&quot; (TRD) (p. 655). Fourteen participants received a single dose of ayahuasca, and the remaining 15 received a single dose of the placebo. Their study found evidence that in both groups, depression severity changed considerably, though {{g}} more profoundly in the ayahuasca group. They speculate that this success could be due to the MAOI present in the brew and also acknowledge limitations in this study, such as [[wikipedia:Comorbidity|comorbid]] conditions of TRD, [[wikipedia:Socioeconomic_status|socioeconomic status]] (SES), and lack of previous studies into TRD and ayahuasca treatment.  

=== Physical health ailments ===
Recent discoveries have revealed that DMT is also an agonist to the [[wikipedia:Sigma-1_receptor|sigma-1 receptor]]. The sigma-1 receptor is not only involved in the pathological process of [[wikipedia:Major_depressive_disorder|major depressive disorder]] (MDD), but its agonists can regulate [[wikipedia:Neuroinflammation|neuroinflammation]], [[wikipedia:Neurogenesis|neurogenesis]], and [[wikipedia:Mitochondrion|mitochondrial]] function (Wang et al., 2022, p. 3).  

The multi-effect activation of the sigma-1 receptor is starting to be considered a treatment method for [[wikipedia:Neurodegenerative_disease|neurodegenerative]] conditions such as [[wikipedia:Parkinson's_disease|Parkinson’s]] and [[wikipedia:Huntington's_disease|Huntington’s]] (p. 3). This is due to its [[wikipedia:Neuroprotection|neuroprotective]] aspects that regulate and modulate [[wikipedia:Calcium_metabolism|calcium]] levels and [[wikipedia:Glia|glial cells]]. In addition, activation of sigma-1 receptors is starting to be associated with BDNF and improving mitochondrial functions. 

However, this is not the reason why (as far as current research suggests) people seek out ayahuasca as a form of treatment for their physical health ailments. Many are simialr{{sp}} to Margaret de Wys and seek extreme measures as a last resort. Alternatively, they are seeking the increasingly proven therarapeutic{{sp}} benefits of ayahuasa{{sp}} during their trying times. 

== Conclusion ==
Ayahuasca is a South American drug that causes many neurological effects. It holds a deep, traditional history within Indigenous tribes and communities in South America, as well as modern day purposes for Western communities. When properly brewed, ayahuasca produces N, N-dimethyltryptamine (DMT), a psychedelic that induces auditory and visual hallucinations, altered perception of self and time, mood, cognitive processes, and more. Ayahuasca enhances neuroplasticity through several fundamental mechanisms, primarily related to its active compounds, particularly DMT and the MAO inhibitor found in the Banisteriopsis caapi vine. Its agonists, such as the 5HT2A receptor and the sigma-1 receptor, show great promise in treatments for mental health disorders, such as depression and neurodegenerative diseases, such as Huntington's. Research is still quite limited in the therapeutic mechanisms of DMT-based psychedelics, particularly ayahuasca. Still, as the research continues to grow, the potential of its treatment grows with it.   

==See also==
* [[wikipedia:5-HT2A_receptor|5-HT2A receptor]] (Wikipedia) 
* [[wikipedia:Agonist|Agonists]] (Wikipedia) 
* [[wikipedia:Ayahuasca|Ayahuasca]] (Wikipedia)
* [[wikipedia:Brain-derived_neurotrophic_factor|Brain-derived neurotrophic factor]] (Wikipedia) 
* [[wikipedia:Default_mode_network|Default mode network]] (Wikipedia) 
* [[Motivation and emotion/Book/2022/DMT and spirituality|DMT and spirituality]] (Book chapter, 2022)
* [[Motivation and emotion/Book/2024/Ego death|Ego death]] (Book chapter, 2024)
* [[wikipedia:N,N-Dimethyltryptamine]] (Wikipedia)
* [[Motivation and emotion/Book/2019/Psychedelic drugs and emotion|Psychedelic drugs and emotion]] (Book chapter, 2019)
* [[Motivation and emotion/Book/2020/Psychedelic treatment of addiction|Psychedelic treatment of addiction]] (Book chapter, 2020)
* [[Motivation and emotion/Book/2023/Psychedelic treatment of anxiety|Psychedelic treatment of anxiety]] (Book chapter, 2023)
* [[Motivation and emotion/Book/2021/Psychedelic treatment of depression|Psychedelic treatment of depression]] (Book chapter, 2021)
* [[wikipedia:Sigma-1_receptor|Sigma-1 receptor]] (Wikipedia)

==References==
{{Hanging indent|1=

Bathina, S., &amp; Das, U. N. (2015). Brain-derived neurotrophic factor and its clinical implications. Archives of Medical Science, 11(6), 1164–1178. https://doi.org/10.5114/aoms.2015.56342 

Buckner, R. L. (2013). The brain’s default network: Origins and implications for the study of psychosis. Static and Dynamic Imaging: Clinical and Therapeutic Implications, 15(3), 351–358. https://doi.org/10.31887/dcns.2013.15.3/rbuckner  

de Vos, C. M. H., Mason, N. L., &amp; Kuypers, K. P. C. (2021). Psychedelics and neuroplasticity: A systematic review unraveling the biological underpinnings of psychedelics. Frontiers in Psychiatry, 12(12), 1–14. https://doi.org/10.3389/fpsyt.2021.724606

Domínguez-Clavé, E., Soler, J., Elices, M., Pascual, J. C., Álvarez, E., de la Fuente Revenga, M., Friedlander, P., Feilding, A., &amp; Riba, J. (2016). Ayahuasca: Pharmacology, neuroscience and therapeutic potential. Brain Research Bulletin, 126(Pt 1), 89–101. https://doi.org/10.1016/j.brainresbull.2016.03.002
 
Evens, R., Schmidt, M. E., Majić, T., &amp; Schmidt, T. T. (2023). The psychedelic afterglow phenomenon: A systematic review of subacute effects of classic serotonergic psychedelics. Ther Adv Psychopharmacol, 13, 1–20. https://doi.org/10.1177/20451253231172254

Gattuso, J. J., Perkins, D., Ruffell, S., Lawrence, A. J., Hoyer, D., Jacobson, L. H., Timmermann, C., Castle, D., Rossell, S. L., Downey, L. A., Pagni, B. A., Galvão-Coelho, N. L., Nutt, D., &amp; Sarris, J. (2022). Default mode network modulation by psychedelics: A systematic review. International Journal of Neuropsychopharmacology, 26(3), 155–188. https://doi.org/10.1093/ijnp/pyac074
 
González, D., Carvalho, M., Cantillo, J., Aixalá, M., &amp; Farré, M. (2017). Potential Use of Ayahuasca in Grief Therapy. OMEGA - Journal of Death and Dying, 79(3), 260–285. https://doi.org/10.1177/0030222817710879
 
Harris, R. (2017). Listening to ayahuasca: New hope for depression, addiction, PTSD, and anxiety. New World Library.

Johnson, M. W., Hendricks, P. S., Barrett, F. S., &amp; Griffiths, R. R. (2019). Classic psychedelics: An integrative review of epidemiology, therapeutics, mystical experience, and brain network function. Pharmacology &amp; Therapeutics, 197, 83–102. https://doi.org/10.1016/j.pharmthera.2018.11.010
 
Kelmendi, B., Kaye, A. P., Pittenger, C., &amp; Kwan, A. C. (2022). Psychedelics. Current Biology, 32(2), R63–R67. https://doi.org/10.1016/j.cub.2021.12.009
 
Khan, I., &amp; Khan, M. A. (2021). Sensory and perceptual alterations. PubMed; StatPearls Publishing. https://www.ncbi.nlm.nih.gov/books/NBK563136/

Kwan, A. C., Olson, D. E., Preller, K. H., &amp; Roth, B. L. (2022). The neural basis of psychedelic action. Nature Neuroscience, 25(11), 1407–1419. https://doi.org/10.1038/s41593-022-01177-4

Louis, R. (2010, January 8). Interview: Margaret de Wys. Bomb Magazine. https://bombmagazine.org/articles/2010/01/08/margaret-de-wys/

Malcolm, B. J., &amp; Lee, K. C. (2017). Ayahuasca: An ancient sacrament for treatment of contemporary psychiatric illness? Mental Health Clinician, 7(1), 39–45. https://doi.org/10.9740/mhc.2017.01.039

Mallaroni, P., Mason, N. L., Kloft, L., Reckweg, J. T., van Oorsouw, K., &amp; Ramaekers, J. G. (2023). Cortical structural differences following repeated ayahuasca use hold molecular signatures. Frontiers in Neuroscience, 17. https://doi.org/10.3389/fnins.2023.1217079

Murphy-Beiner, A., &amp; Soar, K. (2020). Ayahuasca’s “afterglow”: Improved mindfulness and cognitive flexibility in ayahuasca drinkers. Psychopharmacology, 237(4), 1161–1169. https://doi.org/10.1007/s00213-019-05445-3

Palhano-Fontes, F., Barreto, D., Onias, H., Andrade, K. C., Novaes, M. M., Pessoa, J. A., Mota-Rolim, S. A., Osório, F. L., Sanches, R., dos Santos, R. G., Tófoli, L. F., de Oliveira Silveira, G., Yonamine, M., Riba, J., Santos, F. R., Silva-Junior, A. A., Alchieri, J. C., Galvão-Coelho, N. L., Lobão-Soares, B., &amp; Hallak, J. E. C. (2018). Rapid antidepressant effects of the psychedelic ayahuasca in treatment-resistant depression: A randomized placebo-controlled trial. Psychological Medicine, 49(4), 655–663. https://doi.org/10.1017/s0033291718001356

Pandya, M., Altinay, M., Malone, D. A., &amp; Anand, A. (2012). Where in the brain is depression? Current Psychiatry Reports, 14(6), 634–642. https://doi.org/10.1007/s11920-012-0322-7

Robinson, T. E., &amp; Berridge, K. C. (2003). Addiction. Annual Review of Psychology, 54(1), 25–53. https://doi.org/10.1146/annurev.psych.54.101601.145237

Uthaug, M. V., Mason, N. L., Toennes, S. W., Reckweg, J. T., de Sousa Fernandes Perna, E. B., Kuypers, K. P. C., van Oorsouw, K., Riba, J., &amp; Ramaekers, J. G. (2021). A placebo-controlled study of the effects of ayahuasca, set and setting on mental health of participants in ayahuasca group retreats. Psychopharmacology. https://doi.org/10.1007/s00213-021-05817-8

Wang, Y.-M., Xia, C.-Y., Jia, H.-M., He, J., Lian, W.-W., Yan, Y., Wang, W.-P., Zhang, W.-K., &amp; Xu, J.-K. (2022). Sigma-1 receptor: A potential target for the development of antidepressants. Neurochemistry International, 159, 105390. https://doi.org/10.1016/j.neuint.2022.105390

}}

==External links==
* [https://www.healthline.com/nutrition/ayahuasca What is ayahuasca? Experience, benefits, and side effects] (Healthline)
* [https://www.vox.com/first-person/2018/2/19/16739386/ayahuasca-retreat-psychedelic-hallucination-meditation What the psychedelic drug ayahuasca showed me about my life] (vox.com)
* [https://www.cntraveler.com/story/what-its-really-like-to-join-an-ayahuasca-retreat What it's really like to join an ayahuasca retreat alongside spiritual experts] (Condé Nast traveller) 

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[[Category:Motivation and emotion/Book/Drugs/Ayahuasca]]
[[Category:Motivation and emotion/Book/Neuroscience]]</text>
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    <title>Talk:Motivation and emotion/Book/2025/Spirituality and mental health</title>
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      <text bytes="24011" sha1="4h34h4jh8hvy98kg8ybxbkze3pi1s3g" xml:space="preserve">== Comments== 

Hi Alicia, 

Great work on your theoretical writing in your chapter so far. I can see that you have structured your focus questions quite strictly and thats ok but you might want to reword the last one 'What is the Humanistic approach and how does it contribute to improving mental health in clinical practice?' to something more like; which psych theories contribute to improving mental health?

The reason I think this could be a good idea is so that you can incorporate the SDT theory or even Maslow's hierarchy model to help you demonstrate the importance of spirituality in mental health. &lt;br&gt;
I think your table of findings is a great way of getting info across simply.
have you considered what you want the reader to take from your chapter at the end? that might help your direction as you write the chapter. 

Good luck,

Ari --[[User:Ubaldo111|Ubaldo111]] ([[User talk:Ubaldo111|discuss]] • [[Special:Contributions/Ubaldo111|contribs]]) 05:44, 5 September 2024 (UTC)

==Initial suggestions==
{{ping|AliciaEdwards1212}} Thanks for tackling this topic.
Some initial suggestions:
* Check out other related chapters and see how you can build on, link to, and integrate with that work:
** [[:Category:Motivation and emotion/Book/Mental health]]
** [[:Category:Motivation and emotion/Book/Spirituality]]
* Also [[Motivation and emotion/Book|search past book chapters for related topics]]
* For the [[Motivation and emotion/Assessment/Topic|topic development]], consider:
** What psychological theory(ies) can help to understand and explain this topic?
** What is the main research in this area?
* Let me know if I can do anything else to support the development of this chapter.
Sincerely, James -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 11:21, 10 August 2024 (UTC)

{{Heading casing|AliciaEdwards1212}}

&lt;!-- Official topic development feedback --&gt;
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# Basic, 2-level heading structure – could benefit from further development (expand)
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# A brief, evocative description of the problem/topic is provided
# A brief, evocative description of the problem/topic is planned
# Description of the problem/topic should be brief and evocative. Keep this section user-friendly. Move detail into subsequent section.
# Add a brief, evocative description of the problem/topic
# Simplify/abbreviate the description of the problem/topic to make it more user-friendly. Move detail into subsequent sections.
# Use present, rather than future, tense
# Use 3rd person perspective (except 1st/2nd person can work for feature boxes/scenarios)
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# Adopt closer alignment between the sub-title, focus questions, and top-level headings
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# Looks and feels like unacknowledged [[Motivation and emotion/Assessment/Using generative AI|genAI content]] which would be a violation of academic integrity
# Insufficient citation
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# ''Avoid providing too much background information''. Aim to briefly summarise general concepts and provide internal links to relevant book chapters and/or Wikipedia pages for further information. Then focus most of the content on ''directly answering the core question(s)'' posed by the chapter sub-title.
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# One use of in-text [[m:Help:Interwiki linking|interwiki links]] for the first mention of key terms to relevant Wikipedia articles and/or to other relevant book chapters
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# Well done on identifying relevant systematic reviews and/or meta-analyses
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# Only cite sources you directly consulted
# Check and correct [https://apastyle.apa.org/instructional-aids/reference-guide.pdf APA referencing style]:
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# Basic – minimal, but sufficient
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# Consider linking to your [https://portfolio.canberra.edu.au/ eportfolio] page and/or any other professional online profile or resume such as [https://www.linkedin.com/ LinkedIn]. This is not required, but it can be useful to interlink your professional networks.
&lt;!-- Link to book chapter --&gt;
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# Links provide insufficient evidence of at least three different types of contributions
# To add direct links to evidence: view the page history, select the version of the page before and after your contributions, click &quot;compare selected revisions&quot;, and paste the comparison URL on your user page. For more info, see [[Motivation and emotion/Assessment/Chapter#Making and summarising social contributions|Making and summarising social contributions]].
}}
-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 11:28, 25 August 2024 (UTC)

== Focus question clarification and theory idea ==

Hello!

Great topic choice and very interesting research for you I am sure. Visually, the page is looking really appealing and I like your attention to detail on the opening scenario. 

One of your focus questions is &quot;what is the difference between spirituality and religion?&quot;, however, I did not come across the answer to this in your content so far. It might be difficult to answer this question directly, and if you are still interested in keeping it within your research, my suggestion is that spirituality is referred to as a deeply personal and individualistic process, rather than religion, which is seemingly more organised around specific traditions and practices.

In saying that, spirituality can be found within religion and the two can overlap, so it might be difficult to find complete distinctions overall.

One theory that I had in mind to support your spirituality argument can be found in Carl Jung's theory of individuation, which is said to be about bridging the gap between the conscious and unconscious or the self and the ego, as a process of self development and spirituality. It also lends itself to the idea of being social creatures and a part of the 'whole' in a mystical sense, yet, also reaching towards the individual evolution and actualisation. I see you have already referred to Maslow in your writing, so there is potential to make that argument stronger by adding Jung's theory alongside it.

Well done! Looking forward to reading your finished chapter.  [[User:Danikollas|Danikollas]] ([[User talk:Danikollas|discuss]] • [[Special:Contributions/Danikollas|contribs]]) 04:29, 26 September 2024 (UTC)

== Feedback ==

Great work Alicia,

your written component is off to a good start. One adjustment I would suggest for your chapter is ensuring the figures you refer to are ordered and situated accordingly to when they are referred to within the text. I noticed in the first few sections, your figure numbers were scattered with the first figure being labelled as figure 2. I just thought this may be distracting and confusing for readers as they try to grasp your topic and develop an understanding.

Additionally, regarding your references, don't forget to format them correctly according to APA guidelines and the desired assessment format. I noticed there were a few citations that deviated from these APA guidelines and had certain titles italicised when they should not have been. Additionally, as per the assessment guidelines, don't forget to list your resources with a hanging indent.

Lastly, as a frequent comment I have examined across other books, don't forget the headings should use sentence casing, where only the first letter of the sentence heading is capitalised (e.g., 'Self-determination theory' rather than 'Self-Determination Theory'. On this as well, consider shorter alternatives for some of your headings. Ultimately, headings should be an extremely short sentence, of only few words at the most, describing what the following content is going to be focused on. If you find it difficult to use these shorter headings to describe the content, utilise subheadings where necessary to break the heading down into its relevant components and sections.

Aside from this, good start on your chapter. I look forward to reading it in its final form. Good luck! [[User:Sebastian Siakimotu|Sebastian Siakimotu]] ([[User talk:Sebastian Siakimotu|discuss]] • [[Special:Contributions/Sebastian Siakimotu|contribs]]) 21:27, 6 October 2024 (UTC)

&lt;!-- Official topic development feedback --&gt;
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# Title and sub-title correctly worded and use [[w:Letter case#Sentence casing|sentence casing]]
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# See earlier comment about [[#heading casing|heading casing]]
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# Excellent alignment between sub-title, focus questions, and top-level headings
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# Excellent – Scenario, image, evocative description of the problem/topic, and focus questions
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# Abbreviate the scenario or split it and present other parts later to illustrate key points in corresponding sections
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# Promising in-text [[m:Help:Interwiki linking|interwiki links]] for first mention of key terms to [[w:|Wikipedia]] and/or [[Motivation and emotion/Book|book chapters]]
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# I like the idea behind this table. But it may be overly detailed for the chapter (which is not about the relationship between spiritualy and psychopathology)
# Add table caption
# Cite each table at least once in the text
# Include citations for sources of information presented in the table
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# At least one relevant systematic review and/or meta-analysis has been identified
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# Check and correct [https://apastyle.apa.org/instructional-aids/reference-guide.pdf APA referencing style]:
## capitalisation
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# Consider linking to your [https://portfolio.canberra.edu.au/ eportfolio] page and/or any other professional online profile or resume such as [https://www.linkedin.com/ LinkedIn]. This is not required, but it can be useful to interlink your professional networks.
&lt;!-- Link to book chapter --&gt;
# A link to the book chapter is provided
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&lt;!-- Social contribution --&gt;
# Good – two out of three types of contributions made with direct link(s) to evidence. The other type of contribution is making:
#* comments on the [[Help:Talk page|talk page]]s of other [[Motivation and emotion/Book|chapters (past or current)]]
# To add direct links to evidence of Wikiversity edits or comments: view the page history, select the version of the page before and after your contributions, click &quot;compare selected revisions&quot;, and paste the comparison URL on your user page. For more info, see [[Motivation and emotion/Assessment/Chapter#Making and summarising social contributions|Making and summarising social contributions]]. This was demonstrated in [[Motivation and emotion/Tutorials/Wiki editing#Social contributions|Tutorial 02]].
}}
-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 10:17, 24 August 2025 (UTC)

== Feedback  ==

Hi Ginger, 

Well done so far, great book chapter I learned a lot. I don't have much feedback on the actual content as you have done a very good job, however, with your references, just be careful with APA 7th edition referencing, especially with capilisation. Otherwise, looks great! Thanks, Grace  [[User:U3253215|U3253215]] ([[User talk:U3253215|discuss]] • [[Special:Contributions/U3253215|contribs]]) 01:51, 25 September 2025 (UTC)

:Thank you, Grace! [[User:U3214459|U3214459]] ([[User talk:U3214459|discuss]] • [[Special:Contributions/U3214459|contribs]]) 02:53, 27 September 2025 (UTC)

&lt;!-- Official book chapter feedback --&gt;
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# This is an excellent chapter that successfully uses psychological theory and research to address a practical, real-world phenomenon or problem
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# Good use of academic, peer-reviewed citations to support claims
# In some, better use could be made of academic, peer-reviewed citations (e.g., see the {{f}} tags)
&lt;!-- Overall - GenAI --&gt;
#* [[Motivation and emotion/Assessment/Using generative AI|genAI use]] is appropriately acknowledged
&lt;!-- Overall – Copyedits --&gt;
# For additional feedback, see the following comments and [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2025%2FSpirituality_and_mental_health&amp;diff=2758870&amp;oldid=2755092 these copyedits]
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# Engaging scenario or case study in a feature box with a relevant image
&lt;!-- Overview – Explains problem --&gt;
# Clearly explains the psychological problem or phenomenon
&lt;!-- Overview – Focus questions --&gt;
# The focus questions are very good
# Ideally, research would be incorporated into FQs 1-3 rather than being a separate question
# Consider swapping order of FQ2 and FQ3
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&lt;!-- Theory – Breadth --&gt;
# Very good to excellent—key theories are well explained and applied; minor areas for improvement
# Rogers focused on the fully functioning person; Maslow focused on self-actualisation
&lt;!-- Theory – Builds on --&gt;
# Builds exceptionally well on [[w:|Wikipedia]] articles
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&lt;!-- Research – Key findings --&gt;
# Excellent review of relevant research
# Excellent emphasis on systematic reviews and/or meta-analyses
# In some places, there is insufficient use of academic, peer-reviewed citations (e.g., see the {{f}} tags)
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# Excellent [[w:Critical thinking|critical thinking]] about relevant research is evident
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## The quality of written expression is excellent
&lt;!-- Written expression – Sentences --&gt;
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## Bullet points are overused. Develop more of the bullet point statements into full sentences and paragraphs.
&lt;!-- Written expression – Language --&gt;
## &quot;Individuals&quot; is overused. &quot;People&quot; is usually a clearer term than &quot;individuals&quot;. Use ''individuals'' to highlight each person separately (e.g., “individual test scores”) and ''people'' when referring to humans more generally.
&lt;!-- Written expression – Layout --&gt;
# Layout
## The chapter is well structured, with major sections using sub-sections
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# Grammar
## [https://www.grammarly.com/blog/punctuation-capitalization/possessive-apostrophe/ Possessive apostrophes] are not used correctly (e.g., cats vs cat's vs cats')
&lt;!-- Written expression – APA style --&gt;
# APA style
## Use [[w:Serial comma|serial comma]]s[https://www.buzzfeed.com/adamdavis/the-oxford-comma-is-extremely-important-and-everyone-should][https://www.youtube.com/watch?v=gBx8ooDupXY]
&lt;!-- Written expression – Figures --&gt;
## Figures
### Briefly captioned; provide more detail to help connect the figure to the text
&lt;!-- Written expression – Figures - Citations --&gt;
### Each Figure is referred to at least once within the main text using APA style
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## Citations use very good [https://apastyle.apa.org/products/publication-manual-7th-edition APA Style (7th ed.)]:
### List multiple citations in alphabetical order by first author surname (e.g., Giraffe, 2024; Zebra &amp; Aardvark, 2020)
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## References use excellent APA style:
### &amp; missing from 1st reference; : should be , 
|8=
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# Overall, the learning features are excellent
&lt;!-- Learning features – Wikipedia embedded links --&gt;
# Excellent use of embedded in-text [[m:Help:Interwiki linking|interwiki links]] to Wikipedia articles
&lt;!-- Learning features – Wikiversity embedded links --&gt;
# Add more embedded in-text links to related [[Motivation and emotion/Book|book chapters]]. Embedding in-text links to related book chapters helps to integrate this chapter into the broader book project.
&lt;!-- Learning features – Figures, tables, feature boxes, scenarios --&gt;
# Very good use of figure(s)
# No use of table(s)
# Excellent use of feature box(es)
# Excellent use of scenarios, case studies, or examples
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# Excellent use of quiz(zes) and/or reflection question(s)
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# Basic use of the &quot;See also&quot; section
## Add more links
&lt;!-- Learning features – External links --&gt;
# Basic use of the &quot;External links&quot; section
## Add more links
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&lt;!-- Social contribution comments... --&gt;
# ~25 logged, useful, mostly minor/moderate/major contributions with direct links to evidence
# ~3 logged contributions without [[Motivation and emotion/Assessment/Chapter#Making and summarising contributions|direct links to evidence]], so unable to easily verify and assess. See [[Motivation and emotion/Tutorials|tutorials]] for guidance about how to get direct links to evidence.
# Thanks very much for your extensive contributions
}}
-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 22:55, 6 October 2025 (UTC)

== AI slop ==

{{ping|Jtneill}} please explain how the restored picture of random psychedelic imagery meaningfully illustrates the topic. [[User:Dronebogus|Dronebogus]] ([[User talk:Dronebogus|discuss]] • [[Special:Contributions/Dronebogus|contribs]]) 01:33, 10 April 2026 (UTC)</text>
      <sha1>4h34h4jh8hvy98kg8ybxbkze3pi1s3g</sha1>
    </revision>
    <revision>
      <id>2804044</id>
      <parentid>2804033</parentid>
      <timestamp>2026-04-10T02:33:53Z</timestamp>
      <contributor>
        <username>Jtneill</username>
        <id>10242</id>
      </contributor>
      <comment>/* AI slop */ Reply</comment>
      <origin>2804044</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="24375" sha1="j88ttvsfe59z6wefnp2lmm4uws6cngf" xml:space="preserve">== Comments== 

Hi Alicia, 

Great work on your theoretical writing in your chapter so far. I can see that you have structured your focus questions quite strictly and thats ok but you might want to reword the last one 'What is the Humanistic approach and how does it contribute to improving mental health in clinical practice?' to something more like; which psych theories contribute to improving mental health?

The reason I think this could be a good idea is so that you can incorporate the SDT theory or even Maslow's hierarchy model to help you demonstrate the importance of spirituality in mental health. &lt;br&gt;
I think your table of findings is a great way of getting info across simply.
have you considered what you want the reader to take from your chapter at the end? that might help your direction as you write the chapter. 

Good luck,

Ari --[[User:Ubaldo111|Ubaldo111]] ([[User talk:Ubaldo111|discuss]] • [[Special:Contributions/Ubaldo111|contribs]]) 05:44, 5 September 2024 (UTC)

==Initial suggestions==
{{ping|AliciaEdwards1212}} Thanks for tackling this topic.
Some initial suggestions:
* Check out other related chapters and see how you can build on, link to, and integrate with that work:
** [[:Category:Motivation and emotion/Book/Mental health]]
** [[:Category:Motivation and emotion/Book/Spirituality]]
* Also [[Motivation and emotion/Book|search past book chapters for related topics]]
* For the [[Motivation and emotion/Assessment/Topic|topic development]], consider:
** What psychological theory(ies) can help to understand and explain this topic?
** What is the main research in this area?
* Let me know if I can do anything else to support the development of this chapter.
Sincerely, James -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 11:21, 10 August 2024 (UTC)

{{Heading casing|AliciaEdwards1212}}

&lt;!-- Official topic development feedback --&gt;
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&lt;!-- Title --&gt;
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&lt;!-- Headings --&gt;
# See earlier comment about [[#heading casing|Heading casing]]
# Basic, 2-level heading structure – could benefit from further development (expand)
&lt;!-- Other ---&gt;
# The Overview and Conclusion should not have sub-headings
# Definition(s) tend to be pedestrian headings. Incorporate definitional material into the Overview and/or subsequent sections with embedded inter-wiki link(s) to further information.
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&lt;!-- Overview--&gt;
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# A scenario or case study is presented in a feature box at the start of this section. Add an image to the scenario to help attract reader interest.
# Abbreviate the scenario to make it punchier (or consider distributing this scenario throughout the chapter)
&lt;!-- Description --&gt;
# A brief, evocative description of the problem/topic is provided
# A brief, evocative description of the problem/topic is planned
# Description of the problem/topic should be brief and evocative. Keep this section user-friendly. Move detail into subsequent section.
# Add a brief, evocative description of the problem/topic
# Simplify/abbreviate the description of the problem/topic to make it more user-friendly. Move detail into subsequent sections.
# Use present, rather than future, tense
# Use 3rd person perspective (except 1st/2nd person can work for feature boxes/scenarios)
&lt;!-- Focus questions --&gt;
# Label the feature box with focus questions with &quot;Focus questions:&quot;
# One of the four proposed focus questions is relevant to the topic (see the sub-title)
# Adopt closer alignment between the sub-title, focus questions, and top-level headings
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&lt;!-- Key points--&gt;
# Looks and feels like unacknowledged [[Motivation and emotion/Assessment/Using generative AI|genAI content]] which would be a violation of academic integrity
# Insufficient citation
# Start with a better heading structure and set of focus questions so that the key points are focused on the best psychological science (theory and research) about this topic
# ''Avoid providing too much background information''. Aim to briefly summarise general concepts and provide internal links to relevant book chapters and/or Wikipedia pages for further information. Then focus most of the content on ''directly answering the core question(s)'' posed by the chapter sub-title.
# Use Australian spelling
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# Cite each figure at least once in the main text using APA style (e.g., see Figure 1)
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&lt;!-- Interwiki links ---&gt;
# One use of in-text [[m:Help:Interwiki linking|interwiki links]] for the first mention of key terms to relevant Wikipedia articles and/or to other relevant book chapters
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# Promising use of one or more scenarios/examples/case studies
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# Consider including one or more quiz question(s) about the take-home messages
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# Promising use of one or more table(s), but content lacks sufficient evidence of direct consultation of relevant academic work
# Add table caption and cite the table at least once in the text
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# Well done on identifying relevant systematic reviews and/or meta-analyses
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# All references need to be cited in the text
# Only cite sources you directly consulted
# Check and correct [https://apastyle.apa.org/instructional-aids/reference-guide.pdf APA referencing style]:
## capitalisation
## include hyperlinked dois
## page numbers should be separated by an en-dash (–) rather than a hyphen (-)
## cite all authors if there are 20 or less
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# See also
## Not developed – needs work (see [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 2]])
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# External links
## Not developed – needs work (see [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 2]])
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&lt;!-- User page --&gt;
# Basic – minimal, but sufficient
&lt;!-- Description about self --&gt;
# Very brief description about self – consider expanding
&lt;!-- Links to profile(s) --&gt;
# Consider linking to your [https://portfolio.canberra.edu.au/ eportfolio] page and/or any other professional online profile or resume such as [https://www.linkedin.com/ LinkedIn]. This is not required, but it can be useful to interlink your professional networks.
&lt;!-- Link to book chapter --&gt;
# A link to the book chapter is provided
|10=
&lt;!-- Social contribution --&gt;
# Links provide insufficient evidence of at least three different types of contributions
# To add direct links to evidence: view the page history, select the version of the page before and after your contributions, click &quot;compare selected revisions&quot;, and paste the comparison URL on your user page. For more info, see [[Motivation and emotion/Assessment/Chapter#Making and summarising social contributions|Making and summarising social contributions]].
}}
-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 11:28, 25 August 2024 (UTC)

== Focus question clarification and theory idea ==

Hello!

Great topic choice and very interesting research for you I am sure. Visually, the page is looking really appealing and I like your attention to detail on the opening scenario. 

One of your focus questions is &quot;what is the difference between spirituality and religion?&quot;, however, I did not come across the answer to this in your content so far. It might be difficult to answer this question directly, and if you are still interested in keeping it within your research, my suggestion is that spirituality is referred to as a deeply personal and individualistic process, rather than religion, which is seemingly more organised around specific traditions and practices.

In saying that, spirituality can be found within religion and the two can overlap, so it might be difficult to find complete distinctions overall.

One theory that I had in mind to support your spirituality argument can be found in Carl Jung's theory of individuation, which is said to be about bridging the gap between the conscious and unconscious or the self and the ego, as a process of self development and spirituality. It also lends itself to the idea of being social creatures and a part of the 'whole' in a mystical sense, yet, also reaching towards the individual evolution and actualisation. I see you have already referred to Maslow in your writing, so there is potential to make that argument stronger by adding Jung's theory alongside it.

Well done! Looking forward to reading your finished chapter.  [[User:Danikollas|Danikollas]] ([[User talk:Danikollas|discuss]] • [[Special:Contributions/Danikollas|contribs]]) 04:29, 26 September 2024 (UTC)

== Feedback ==

Great work Alicia,

your written component is off to a good start. One adjustment I would suggest for your chapter is ensuring the figures you refer to are ordered and situated accordingly to when they are referred to within the text. I noticed in the first few sections, your figure numbers were scattered with the first figure being labelled as figure 2. I just thought this may be distracting and confusing for readers as they try to grasp your topic and develop an understanding.

Additionally, regarding your references, don't forget to format them correctly according to APA guidelines and the desired assessment format. I noticed there were a few citations that deviated from these APA guidelines and had certain titles italicised when they should not have been. Additionally, as per the assessment guidelines, don't forget to list your resources with a hanging indent.

Lastly, as a frequent comment I have examined across other books, don't forget the headings should use sentence casing, where only the first letter of the sentence heading is capitalised (e.g., 'Self-determination theory' rather than 'Self-Determination Theory'. On this as well, consider shorter alternatives for some of your headings. Ultimately, headings should be an extremely short sentence, of only few words at the most, describing what the following content is going to be focused on. If you find it difficult to use these shorter headings to describe the content, utilise subheadings where necessary to break the heading down into its relevant components and sections.

Aside from this, good start on your chapter. I look forward to reading it in its final form. Good luck! [[User:Sebastian Siakimotu|Sebastian Siakimotu]] ([[User talk:Sebastian Siakimotu|discuss]] • [[Special:Contributions/Sebastian Siakimotu|contribs]]) 21:27, 6 October 2024 (UTC)

&lt;!-- Official topic development feedback --&gt;
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|1=
&lt;!-- Title --&gt;
# Title and sub-title correctly worded and use [[w:Letter case#Sentence casing|sentence casing]]
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# See earlier comment about [[#heading casing|heading casing]]
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# Overly complicated 4-level structure – simplify
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# Excellent alignment between sub-title, focus questions, and top-level headings
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&lt;!-- Overview--&gt;
# Excellent – Scenario, image, evocative description of the problem/topic, and focus questions
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# A scenario or case study is presented in a feature box with an image at the start of this section
# Abbreviate the scenario or split it and present other parts later to illustrate key points in corresponding sections
&lt;!-- Description --&gt;
# A clear description of the problem/topic is planned or presented
&lt;!-- Focus questions --&gt;
# Focus questions are aligned with sub-title and top-level headings
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&lt;!-- Overall --&gt;
# Excellent – key points are well developed for each section
&lt;!-- Scope --&gt;
# It is unlikely that all planned aspects can be reasonably covered within the final word count (the plan is already over the maximum word count for the book chapter!), so be selective and concentrate on the important aspects in order to address the question in the sub-title
&lt;!-- Writing style --&gt;
# The writing style is clear and easy to follow
&lt;!-- Theory and research --&gt;
# Reasonably good coverage of theory; strive to balance the theoretical content with critical review of relevant research
&lt;!-- Citations --&gt;
# Good use of citations
&lt;!-- Other --&gt;
# For sections with sub-sections, provide key points for an overview paragraph prior to branching into the sub-headings
# ''Avoid providing too much background information''. Aim to briefly summarise general concepts and provide internal links to relevant book chapters and/or Wikipedia pages for further information. Focus most of the chapter on ''directly answering the core question(s)'' posed by the chapter sub-title.
&lt;!-- Conclusion --&gt;
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# What might the take-home, practical messages be? (What are the answer(s) to the question(s) in the sub-title and/or focus questions?)
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&lt;!-- Figure --&gt;
# Excellent - Relevant figure(s) presented, captioned, and cited
&lt;!-- Caption --&gt;
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# Cite each figure at least once in the main text using APA style (e.g., see Figure 1)
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# Promising in-text [[m:Help:Interwiki linking|interwiki links]] for first mention of key terms to [[w:|Wikipedia]] and/or [[Motivation and emotion/Book|book chapters]]
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# Promising use of scenarios/examples/case studies
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# Place quiz each question in the most relevant section
# Focus the quiz question(s) on the take-home messages
&lt;!-- Tables --&gt;
# Promising use of table(s)
# I like the idea behind this table. But it may be overly detailed for the chapter (which is not about the relationship between spiritualy and psychopathology)
# Add table caption
# Cite each table at least once in the text
# Include citations for sources of information presented in the table
|7=
&lt;!-- References --&gt;
&lt;!-- Overall --&gt;
# Excellent
&lt;!-- Systematic reviews --&gt;
# At least one relevant systematic review and/or meta-analysis has been identified
&lt;!-- APA style --&gt;
# Check and correct [https://apastyle.apa.org/instructional-aids/reference-guide.pdf APA referencing style]:
## capitalisation
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&lt;!-- Resources --&gt;
&lt;!-- See also --&gt;
# See also
## Excellent
&lt;!-- External links --&gt;
# External links
## Excellent
## Use [[w:Letter case#Sentence casing|sentence casing]]
## Use alphabetical order
|9=
&lt;!-- User page --&gt;
# Excellent
&lt;!-- Description about self --&gt;
# Description about self provided
&lt;!-- Links to profile(s) --&gt;
# Consider linking to your [https://portfolio.canberra.edu.au/ eportfolio] page and/or any other professional online profile or resume such as [https://www.linkedin.com/ LinkedIn]. This is not required, but it can be useful to interlink your professional networks.
&lt;!-- Link to book chapter --&gt;
# A link to the book chapter is provided
|10=
&lt;!-- Social contribution --&gt;
# Good – two out of three types of contributions made with direct link(s) to evidence. The other type of contribution is making:
#* comments on the [[Help:Talk page|talk page]]s of other [[Motivation and emotion/Book|chapters (past or current)]]
# To add direct links to evidence of Wikiversity edits or comments: view the page history, select the version of the page before and after your contributions, click &quot;compare selected revisions&quot;, and paste the comparison URL on your user page. For more info, see [[Motivation and emotion/Assessment/Chapter#Making and summarising social contributions|Making and summarising social contributions]]. This was demonstrated in [[Motivation and emotion/Tutorials/Wiki editing#Social contributions|Tutorial 02]].
}}
-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 10:17, 24 August 2025 (UTC)

== Feedback  ==

Hi Ginger, 

Well done so far, great book chapter I learned a lot. I don't have much feedback on the actual content as you have done a very good job, however, with your references, just be careful with APA 7th edition referencing, especially with capilisation. Otherwise, looks great! Thanks, Grace  [[User:U3253215|U3253215]] ([[User talk:U3253215|discuss]] • [[Special:Contributions/U3253215|contribs]]) 01:51, 25 September 2025 (UTC)

:Thank you, Grace! [[User:U3214459|U3214459]] ([[User talk:U3214459|discuss]] • [[Special:Contributions/U3214459|contribs]]) 02:53, 27 September 2025 (UTC)

&lt;!-- Official book chapter feedback --&gt;
{{MEBF/2025
|1=
&lt;!-- Overall comments... --&gt;
# This is an excellent chapter that successfully uses psychological theory and research to address a practical, real-world phenomenon or problem
&lt;!-- Overall – Citations --&gt;
# Good use of academic, peer-reviewed citations to support claims
# In some, better use could be made of academic, peer-reviewed citations (e.g., see the {{f}} tags)
&lt;!-- Overall - GenAI --&gt;
#* [[Motivation and emotion/Assessment/Using generative AI|genAI use]] is appropriately acknowledged
&lt;!-- Overall – Copyedits --&gt;
# For additional feedback, see the following comments and [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2025%2FSpirituality_and_mental_health&amp;diff=2758870&amp;oldid=2755092 these copyedits]
|2=
&lt;!-- Overview – Comments... --&gt;
# Well developed
&lt;!-- Overview – Scenario --&gt;
# Engaging scenario or case study in a feature box with a relevant image
&lt;!-- Overview – Explains problem --&gt;
# Clearly explains the psychological problem or phenomenon
&lt;!-- Overview – Focus questions --&gt;
# The focus questions are very good
# Ideally, research would be incorporated into FQs 1-3 rather than being a separate question
# Consider swapping order of FQ2 and FQ3
|3=
&lt;!-- Theory comments... --&gt;
&lt;!-- Theory – Breadth --&gt;
# Very good to excellent—key theories are well explained and applied; minor areas for improvement
# Rogers focused on the fully functioning person; Maslow focused on self-actualisation
&lt;!-- Theory – Builds on --&gt;
# Builds exceptionally well on [[w:|Wikipedia]] articles
# Doesn't build on related [[Motivation and emotion/Book|chapters]] (by embedding interwiki links for key terms)
&lt;!-- Theory – Depth --&gt;
# Insightful depth is provided about key theory(ies)
&lt;!-- Theory – Tables/Figures/Lists --&gt;
# Good use of tables, figures, and/or lists to clearly convey key theoretical information
&lt;!-- Theory – Citations --&gt;
# Key citations are well used
# In some places, there is insufficient use of academic, peer-reviewed citations (e.g., see the {{f}} tags)
&lt;!-- Theory – Examples --&gt;
# Excellent use of examples to illustrate theoretical concepts
|4=
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&lt;!-- Research – Key findings --&gt;
# Excellent review of relevant research
# Excellent emphasis on systematic reviews and/or meta-analyses
# In some places, there is insufficient use of academic, peer-reviewed citations (e.g., see the {{f}} tags)
&lt;!-- Research – Critical thinking --&gt;
# Excellent [[w:Critical thinking|critical thinking]] about relevant research is evident
|5=
&lt;!-- Integration comments... --&gt;
# Excellent integration between theory and research
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# Excellent summary and conclusion
&lt;!-- Conclusion – Key points --&gt;
# Key points are well summarised
&lt;!-- Conclusion – Focus questions --&gt;
# The focus questions are addressed
&lt;!-- Conclusion – Take-home messages --&gt;
# Clear take-home message(s)
|7=
&lt;!-- Written expression – Style comments... --&gt;
&lt;!-- Written expression – Written expression --&gt;
# Written expression
## The quality of written expression is excellent
&lt;!-- Written expression – Sentences --&gt;
&lt;!-- Written expression – Paragraphs --&gt;
## Bullet points are overused. Develop more of the bullet point statements into full sentences and paragraphs.
&lt;!-- Written expression – Language --&gt;
## &quot;Individuals&quot; is overused. &quot;People&quot; is usually a clearer term than &quot;individuals&quot;. Use ''individuals'' to highlight each person separately (e.g., “individual test scores”) and ''people'' when referring to humans more generally.
&lt;!-- Written expression – Layout --&gt;
# Layout
## The chapter is well structured, with major sections using sub-sections
&lt;!-- Written expression – Grammar --&gt;
# Grammar
## [https://www.grammarly.com/blog/punctuation-capitalization/possessive-apostrophe/ Possessive apostrophes] are not used correctly (e.g., cats vs cat's vs cats')
&lt;!-- Written expression – APA style --&gt;
# APA style
## Use [[w:Serial comma|serial comma]]s[https://www.buzzfeed.com/adamdavis/the-oxford-comma-is-extremely-important-and-everyone-should][https://www.youtube.com/watch?v=gBx8ooDupXY]
&lt;!-- Written expression – Figures --&gt;
## Figures
### Briefly captioned; provide more detail to help connect the figure to the text
&lt;!-- Written expression – Figures - Citations --&gt;
### Each Figure is referred to at least once within the main text using APA style
&lt;!-- Written expression – Citations --&gt;
## Citations use very good [https://apastyle.apa.org/products/publication-manual-7th-edition APA Style (7th ed.)]:
### List multiple citations in alphabetical order by first author surname (e.g., Giraffe, 2024; Zebra &amp; Aardvark, 2020)
&lt;!-- Written expression – References --&gt;
## References use excellent APA style:
### &amp; missing from 1st reference; : should be , 
|8=
&lt;!-- Learning features comments... --&gt;
# Overall, the learning features are excellent
&lt;!-- Learning features – Wikipedia embedded links --&gt;
# Excellent use of embedded in-text [[m:Help:Interwiki linking|interwiki links]] to Wikipedia articles
&lt;!-- Learning features – Wikiversity embedded links --&gt;
# Add more embedded in-text links to related [[Motivation and emotion/Book|book chapters]]. Embedding in-text links to related book chapters helps to integrate this chapter into the broader book project.
&lt;!-- Learning features – Figures, tables, feature boxes, scenarios --&gt;
# Very good use of figure(s)
# No use of table(s)
# Excellent use of feature box(es)
# Excellent use of scenarios, case studies, or examples
&lt;!-- Learning features – Quizzes --&gt;
# Excellent use of quiz(zes) and/or reflection question(s)
&lt;!-- Learning features – See also --&gt;
# Basic use of the &quot;See also&quot; section
## Add more links
&lt;!-- Learning features – External links --&gt;
# Basic use of the &quot;External links&quot; section
## Add more links
|9=
&lt;!-- Social contribution comments... --&gt;
# ~25 logged, useful, mostly minor/moderate/major contributions with direct links to evidence
# ~3 logged contributions without [[Motivation and emotion/Assessment/Chapter#Making and summarising contributions|direct links to evidence]], so unable to easily verify and assess. See [[Motivation and emotion/Tutorials|tutorials]] for guidance about how to get direct links to evidence.
# Thanks very much for your extensive contributions
}}
-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 22:55, 6 October 2025 (UTC)

== AI slop ==

{{ping|Jtneill}} please explain how the restored picture of random psychedelic imagery meaningfully illustrates the topic. [[User:Dronebogus|Dronebogus]] ([[User talk:Dronebogus|discuss]] • [[Special:Contributions/Dronebogus|contribs]]) 01:33, 10 April 2026 (UTC)

:I've [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2025%2FSpirituality_and_mental_health&amp;diff=2804043&amp;oldid=2804031 improved the Figure 5 caption] to better explain its relevance to the topic. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 02:33, 10 April 2026 (UTC)</text>
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    <title>Motivation and emotion/Book/2024/Subjective wellbeing heritability and changeability</title>
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      <text bytes="33463" sha1="4rj4rqgg45fklbg0yuq0da17rbhvv3v" xml:space="preserve">{{title|Subjective well-being heritability and changeability:&lt;br&gt;To what extent is subjective well-being heritable or changeable?}}
{{MECR3|1=https://youtu.be/yrtmSnWl2wM}}
__TOC__

==Overview==
{{robelbox|width=30|theme=10|title= Case scenario}}
&lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;

Emily sits by herself in her room, flicking through pages on her family’s old photo album.

As she looks through old photos of herself with family and friends, she can’t help but notice how much happier she used to be - laughing and smiling with friends and family at different social events. However, recently, despite being in a supportive and consistently positive environment, Emily feels overwhelmed by a sense of anxiety and unease. To try and combat these negative feelings, Emily begins filling in her spare time with activities she's passionate about or enjoys. However, no matter how much she tries, her negative emotional state and feelings always seem one step ahead. 
&lt;/div&gt;
{{Robelbox/close}}

For centuries, psychology has sought to understand why and how happiness varies in some cases, like Emily's (see Case scenario). Why in some cases, despite external and objective success, negative feelings and emotions are still overwhelmingly persistent{{g}}. Is it possible subjective well-being (SWB) is rather caused by or at the hands of something bigger than environmental influences - something such as genetics? Or can SWB be shaped and intentionally manipulated through certain actions and explicit behaviours?

In recent years, studies have expanded upon the foundations of initial wellbeing research and understandings to better investigate the relationship, or lack thereof, between SWB and genetics. To provide a better understanding of the current discussion, this chapter explores the complex interplay and specific dynamic shared between these two aspects of psychological research. This chapter provides a comprehensive understanding of this question: To what extent is SWB heritable or changeable?

To better facilitate learning endeavours throughout the chapter and a general understanding of the topic at hand, this question has been broken down into a series of focus questions. By the end of the chapter, thorough understanding should be developed regarding the main question and the focus questions: 

{{robelbox|width=60|theme=10|title= Focus questions|height=}}
&lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
* What do the terms 'SWB', 'heritability', and 'changeability' mean?
* What are the relevant research origins of SWB that contribute to understanding the extent of changeability and heritability?
* What theoretical underpinnings provide assistance in understanding SWB changeability and heritability? 
&lt;/div&gt;

{{Robelbox/close}}

== Introduction ==
In {{which}} recent decades, the biological study of heritability has converged with that of psychological research on SWB. The intersection of these two fields has sparked much interest into answering fundamental question of how much or to what extent is SWB genetically predetermined or changeable. Resultantly{{awkward}}, a number of underlying assumptions must be considered first before seeking to answer the question. First, this question assumes that, in more ways than none, SWB is both genetically rooted and malleable at the hands of environmental influences. In spite of SWB's genetic grounds, the second assumption posits that significant environmental factors have the capacity to override genetic predispositions and alter the course of SWB outcomes. These assumptions lay out the specific perspectives and underlying ideas of this question. 

=== SWB ===
According to [https://link.springer.com/article/10.1007/s10519-015-9713-y Bartels (2015)], the individual term '[[wikipedia:Well-being|well-being]]' is used to refer to and convey 'information regarding a broad range of behaviours''&lt;nowiki/&gt;''' ([https://link.springer.com/article/10.1007/s10519-015-9713-y p.138] ).  This definition lays the basis for additional, context-specific definitions of well-being, where the meaning is applied to across research fields, to give to terms such as SWB. SWB is an umbrella term, used to discuss the differences in how quality of life is internally processed, evaluated and generally perceived ([[doi:10.1016/j.joep.2007.09.001|Dolan et al., 2008]]). This particular aspect of well-being is studied most frequently in psychological research, with a fair amount of studies cross-examining SWB with overlapping concepts and relevant theories ([https://link.springer.com/article/10.1007/s10519-015-9713-y Bartels, 2015]). Across these bodies of research, SWB is often broken down even further into the dimensions shown in Table 1.

==== Three dimensions of SWB ====
{{expand}}

Table 1. {{ic|Add table caption}}

{| class=&quot;wikitable&quot;
!Dimension
!Definition
|-
|'''Life Satisfaction (LS)'''
|Evaluation of one's life as a whole rather than specific aspects of such. Largely guided by an overall judgement about one's life compared against a personal perception of what suggests a 'good' life ([[doi:10.1007/978-94-011-4291-5_2|Kozma, Stone and Stones, 2000]]) 
'''Factors considered:''' Personal relationships, financial stability, socioeconomic status, work-related fulfilment, etc.
|-
|'''Positive Affect (PA)'''
|Similar to the focus of emotional well-being, PA relates to the presence and experience of positive emotions. ([[doi:10.1007/978-94-011-4291-5_2|Kozma, Stone and Stones, 2000]]).
'''Examples''': happiness, joy, excitement, etc.
|-
|'''Negative Affect (NA)'''
|Conversely to PA, NA focuses on the frequency and experiences of negative emotions within and in relation to the perceived quality of one's life ([[doi:10.1007/978-94-011-4291-5_2|Kozma, Stone and Stones, 2000]]). 
'''Examples:''' sadness, anger, frustration, fear, etc.
|}

These three dimensions provide the basis for how SWB is understood and examined across contexts.

[[File:Critique of the Theory of Evolution Fig 076.jpg|thumb|249x249px|''Figure 2:'' A depiction of heritability determinants in different species, resulting in physical genetic variance]]

=== Heritability ===
According to the National Cancer Institute ([https://www.cancer.gov/publications/dictionaries/genetics-dictionary/def/heritability 2024]), '[[wikipedia:Heritability|heritability]]' refers to the 'proportion of variation in a population trait that can be attributed to inherited genetic factors (p. 1). Derived from the studies of human and species evolution, heritability tests are often used in biological research to uncover and understand how genes and genetic variance contribute to different outcomes and expressions of certain traits (see Figure 2). To investigate the concept of heritability, scientists examine trait variance between twins, and adopted children and their biological and adopted parents.   
   
{{RoundBoxTop|theme=5}}
== [[File:Light-bulb.png|Light-bulb|46x54px]] Quiz== 

These exercises are designed to &lt;u&gt;quiz you&lt;/u&gt; on your &lt;u&gt;learning&lt;/u&gt; throughout the chapter, thus far. You are allowed &lt;u&gt;infinite attempts&lt;/u&gt; to take the quiz, however to facilitate the best understanding of the content, read through the &lt;u&gt;relevant sections&lt;/u&gt; related to each question to find the correct answer(s). &lt;u&gt;''Good luck!''&lt;/u&gt;

&lt;quiz display=simple&gt; What is meant by the term 'SWB'
|type=&quot;()&quot;}
+ '''Subjective Well-being:'''  an umbrella term used to discuss the differences in how quality of life is internally processed, evaluated and generally perceived
- '''Sentimental Well-being:'''  a term that refers to the well-being of memory recall capacity
- '''Surrogate Well-being:'''  a term that refers to the well-being of surrogate mothers during pregnancy 
&lt;/quiz&gt;
&lt;quiz display=simple&gt; What are the three dimensions of SWB?
|type=&quot;()&quot;}
- Happiness, Satisfaction, and Heritability
- Mind, Body, and Soul
+ Life Satisfaction, Negative Affect, and Positive Affect
- Psychological, Physical, and Financial
&lt;/quiz&gt;
{{RoundBoxBottom}}

== Research origins of SWB heritability ==
{{expand}}

=== Well-being ===
[[File:Abraham Myerson.jpg|thumb|268x268px|''Figure 3'': Abraham Myerson - 20th Century American Psychologist.]]

Studies that examines{{g}} the potential link between SWB and heritability are largely rooted in early genetic and well-being research. While well-being research was not a significant focus until the end of the 1950s, its theoretical roots span back as far as the late 1910s through to the 1930s ([https://books.google.com.au/books?hl=en&amp;lr=&amp;id=k86uCQAAQBAJ&amp;oi=fnd&amp;pg=PA75&amp;dq=subjective+well-being+heritability&amp;ots=S_r0BM1n5f&amp;sig=KhQo7DaODzL2jdZD6gnG7R3bbDk&amp;redir_esc=y#v=onepage&amp;q=subjective%20well-being%20heritability&amp;f=false Nes &amp; Roysamb, 2015]). During this period, much of the psychological research focus was directed towards understanding mental health and related determinants of mental illness ([https://books.google.com.au/books?hl=en&amp;lr=&amp;id=k86uCQAAQBAJ&amp;oi=fnd&amp;pg=PA75&amp;dq=subjective+well-being+heritability&amp;ots=S_r0BM1n5f&amp;sig=KhQo7DaODzL2jdZD6gnG7R3bbDk&amp;redir_esc=y#v=onepage&amp;q=subjective%20well-being%20heritability&amp;f=false Nes &amp; Roysamb, 2015]). In 1917, [[wikipedia:Abraham_Myerson|Abraham Myerson's]] (see Figure 3) paper on mental hygiene was one of the first studies to provide a great deal of insight and emphasis on the crucial role of well-being in the study of mental health ([https://books.google.com.au/books?hl=en&amp;lr=&amp;id=k86uCQAAQBAJ&amp;oi=fnd&amp;pg=PA75&amp;dq=subjective+well-being+heritability&amp;ots=S_r0BM1n5f&amp;sig=KhQo7DaODzL2jdZD6gnG7R3bbDk&amp;redir_esc=y#v=onepage&amp;q=subjective%20well-being%20heritability&amp;f=false Nes &amp; Roysamb, 2015]). Following this, psychological research did not expand its focus beyond mental health studies, with the few studies that examined well-being only being concerned with its ties to mental health complications ([https://papers.ssrn.com/sol3/papers.cfm?abstract_id=799166 Angner, 2011]). Not until the later half of the 20th century, did psychological studies go on to examine more nuanced definitions of well-being, conceptualising new frameworks like SWB. However, this breadth of research in the early 1900s established key concepts relevant for understanding SWB, such as life-satisfaction, self-realisation, and more ([https://papers.ssrn.com/sol3/papers.cfm?abstract_id=799166 Angner, 2011]). These studies would go on to provide SWB research with the fundamental frameworks that support today's understandings and research. With the foundational work of psychologists and authors like Diener (1984) and Veenhoven (1984), SWB studies began working towards and developing key theoretical underpinnings relevant to understanding this specific aspect of well-being. Within these endeavours, research saw validity from external fields, like biology and sociology, and borrowed relevant concepts and theories to assist in untangling the mysteries of SWB ([https://papers.ssrn.com/sol3/papers.cfm?abstract_id=799166 Angner, 2011]).   

=== Genetic research ===
Genetic research predates well-being research, with some of its earliest work spanning back to as early as the 17th century. However, while these studies paved the way for greater developments in biological research across later periods of social revolution, much of the methods and findings are perceived as barbaric according to today's standards. Up until the late 19th and early 20th century, genetic research was still very ill-informed of genetic mechanisms of the human body. However, with contributions from biologists like [[wikipedia:Gregor_Mendel|Gregor Mendel]] in the early 1900s, genetic, and even moreso, heritability research developed and progressed significantly ([https://books.google.com.au/books?hl=en&amp;lr=&amp;id=k86uCQAAQBAJ&amp;oi=fnd&amp;pg=PA75&amp;dq=subjective+well-being+heritability&amp;ots=S_r0BM1n5f&amp;sig=KhQo7DaODzL2jdZD6gnG7R3bbDk&amp;redir_esc=y#v=onepage&amp;q=subjective%20well-being%20heritability&amp;f=false Nes &amp; Roysamb, 2015]). These contributions utilised twin- and adoption-studies to disentangle the complex mechanisms of genetic inheritance.

Such studies allowed biologists to examine and understand how both genetic determinants and environmental influencers contribute to characteristic variance. Despite significant contributions from well renowned scientists like [[wikipedia:Francis_Galton|Francis Galton]], the validity of these assessments were significantly undermined by  ill-structured understandings of genetics. For instance, much of these studies were still yet to uncover the difference between identical and fraternal twins, creating a large disconnect between the findings and the reality of genetic heritability. However, as research entered the later half of the 20th century, scientists sought to redefine much of the theoretical and fundamental understandings employed in relevant research to achieve better, and more reliable findings. These endeavours in the 1970s and onwards provided much of the foundations and theoretical frameworks used in today's biological research. During this period of research progression, scientists began drawing links between key theories and concepts of other studies, especially psychology and sociology ([https://books.google.com.au/books?hl=en&amp;lr=&amp;id=k86uCQAAQBAJ&amp;oi=fnd&amp;pg=PA75&amp;dq=subjective+well-being+heritability&amp;ots=S_r0BM1n5f&amp;sig=KhQo7DaODzL2jdZD6gnG7R3bbDk&amp;redir_esc=y#v=onepage&amp;q=subjective%20well-being%20heritability&amp;f=false Nes &amp; Roysamb, 2015]).

=== '''Convergence of genetic and psychological research''' ===
{{expand}}

==== Research across the 1900s ====
In the mid-late 1900s, scientists expanded and applied biology studies on gene-heritability to the understanding of SWB mechanisms and determinants. These endeavours were tasked with disentangling and better understanding the potential contributions of both environmental and genetic factors on SWB. First applications of genetic research began during across the 1970s and 1980s, with behavioural genetics integrating the focus of SWB into pre-existing studies, such as twin studies ([https://link.springer.com/article/10.1007/s10519-009-9294-8 Bartels &amp; Boomsma, 2009]; [https://books.google.com.au/books?hl=en&amp;lr=&amp;id=k86uCQAAQBAJ&amp;oi=fnd&amp;pg=PA75&amp;dq=subjective+well-being+heritability&amp;ots=S_r0BM1n5f&amp;sig=KhQo7DaODzL2jdZD6gnG7R3bbDk&amp;redir_esc=y#v=onepage&amp;q=subjective%20well-being%20heritability&amp;f=false Nes &amp; Roysamb, 2015]). Key bodies of research, such as that of Tellegen et al. ([[doi:10.1037/0022-3514.54.6.1031|1988]]) and Eaves et al. (1989) provided valuable insight to understanding the genetic basis of SWB, demonstrating how environmental factors influence SWB outcomes alongside genetic determinants. In spite of this, researchers like Turkheimer and Gottesman ([https://www.cambridge.org/core/journals/behavioral-and-brain-sciences/article/abs/is-h2-0-a-null-hypothesis-anymore/207BA3C1F79392E9EC1D01B5CF051BF2 1991]), maintained their biological perspectives, supporting the notion that behavioural traits of humans are entirely heritable and uninfluenced by environmental factors. With these key bodies of work, amongst other foundational studies, psychological research had laid out and established a well-rounded understanding of the potential relationship between SWB outcomes and both genetic and environmental influencers.   

==== Research across the 2000s: A new age ====
Of the numerous studies published in the early 2000s, only a small portion of research examined and built upon the contentions of previous research regarding SWB heritability and changeability. With significant social progression characterising the early 2000s, studies began considering certain social factors within environmental determinants, such as socioeconomic status, life circumstances and social relationships. With this, studies like Diener and Seligman's ([[doi:10.1111/j.0963-7214.2004.00501001.x|2004]]) expanded on this perspective, emphasising that while genetics do contribute to SWB outcomes, their effect on SWB is compounded and altered significantly by environmental factors and determinants.
[[File:Genetics Laboratory UMAR Puerto Escondido.jpg|thumb|''Figure 4.'' The technological advancements of scientific research that furthered investigations into cross-sectional topics|247x247px]]

As research endeavours continued throughout the early 2000s and into the late 2010s, advancements in research techniques facilitated deeper and better quality investigations of SWB heritability (see Figure 4). For instance, Baselmans et al.'s ([[doi:10.1007/s10519-019-09951-0|2019]]) study examined the influence of specific genotypes and phenotypes on SWB across twins and participants from twin studies. Baselmans's ([[doi:10.1007/s10519-019-09951-0|2019]]) study was among a large body of research pertaining to the 2010s that examined the specific relationship between certain genes and environmental compounding factors on SWB outcomes. Currently, studies continue to grow and expand upon more nuanced aspects of SWB or applications of such to different contexts (e.g., cultures, organisational contexts, industries, science based research topics, etc.).    

These foundational studies provide a clear picture of how SWB research has evolved alongside genetic studies, and how the two fields converged and later developed as a singular research topic. From the integration of behavioural genetics into psychological research on mental hygiene, studies now utilise these theoretical frameworks to provide a clear understanding of the complex interplay between genetic mechanisms and environmental factors in shaping SWB outcomes. These specific frameworks provide the basis for understanding the nuances of how heritability influences SWB, while considering the role of environmental determinants as well.   

== Theoretical underpinnings ==
{{expand}}

=== Conceptual frameworks ===
The conceptual frameworks relevant to understanding the heritability of SWB are informed by, and grounded in numerous, fundamental psychological and genetic models. These models facilitate a better understanding by explaining how certain genetic predispositions, alongside environmental determinants, influence SWB outcomes. Some of the primary theoretical frameworks relevant to this discussion include: 

* The set-point theory of happiness ([https://link.springer.com/article/10.1007/s11205-007-9138-y Headey, 2008]; [https://link.springer.com/article/10.1007/s11205-009-9559-x Headey, 2010]);
* Dynamic equilibrium model
* The biopsychosocial model ([[doi:10.1111/j.1742-1241.2009.02183.x|Kirana et al., 2009]]; ).

=== Application of theory ===
{{expand}}

==== Set-point theory of happiness ====
According to Headey ([https://link.springer.com/article/10.1007/s11205-007-9138-y 2008]), the set-point theory proposes that individual happiness fluctuates along a genetically determined baseline. This model posits that the baseline for happiness and baseline variances between individuals are both attributable to predetermined genetic factors. On the other hand, life events are suggested to illicit fluctuations, causing temporary changes in happiness along the continuum of genetic happiness, before returning back to the baseline ([https://link.springer.com/article/10.1007/s11205-007-9138-y Headey, 2008]). This suggests, that while SWB is temporarily influenced by certain life-events, genetic predispositions are the primary forces driving and shaping SWB outcomes. Backed by research, early twin studies argued that approximately 50% of the variance in SWB is attributable to genetic factors. 

However, while this seems to consider the relevant aspects of the interaction between genetic and environmental factors, this theory fails to recognise the potential impact of different life-events ([https://link.springer.com/article/10.1007/s11205-009-9559-x Headey, 2010]). While happiness supposedly returns back to the genetic baseline following fluctuations from life-events, life changing circumstances – such as winning the lottery or suffering the loss or impairment of physical/mental functionality – can permanently shift baseline happiness. Hence, according to this model, while genetic factors play a crucial role in SWB outcomes, they do not act entirely independent from environmental factors. In light of this studies have aimed to bridge this large gap in the theory by leading the focus toward a more 'dynamic' model of SWB heritability and changeability. 

==== '''Dynamic equilibrium model''' ====
The dynamic equilibrium model builds upon the contentions and framework of the set-point theory, agreeing that life-events cause fluctuations of SWB, until returning to the genetic baseline of happiness ([[doi:10.1007/s11205-005-5381-2|Headey, 2006]]). However, to fill in much of the set-point theory's gaps, this model provides a much more detailed description of varying environmental contexts that can override genetic factors. Ultimately, this model proposes that individuals largely share 'normal' equillibrium levels of life events and baseline SWB, grounded on the basis of age and personality ([https://psycnet.apa.org/buy/1990-00988-001 Headey &amp; Wearing, 1989]). However, only when external events begin to deviate from and exceed their equilibrium does baseline SWB shift. Specifically drastic events, in the form of life-altering circumstances/situations, all have the potential to shift this baseline, and thereby, the dynamic equilibrium and SWB baseline ([https://psycnet.apa.org/buy/1990-00988-001 Headey &amp; Wearing, 1989]). Moreover, this model also considers differing alterations of the equilibrium state over long-term periods, wherein, SWB baseline stabilises overtime in response to extended life-events, such as chronic stress or prolonged negative life circumstances ([https://psycnet.apa.org/buy/1990-00988-001 Headey &amp; Wearing, 1989]). However, another aspect of the dynamic equilibrium model takes into account the role of stable personality traits that contribute to the mediation of certain external events. For instance, despite the presence of ongoing stress and external pressures, individuals with a higher level of emotional stability may exhibit greater resistance to shifts in their SWB baseline ([https://psycnet.apa.org/buy/1990-00988-001 Headey &amp; Wearing, 1989]).
{{RoundBoxTop|theme=3}}
[[File:Question_mark2.svg|40x40px|Question mark2]]''' Case study link to theory'''

In her early teens, Emily remembers being very outgoing and happy most of the time. Even in moments where she got in trouble or hurt herself, her negative emotions were only ever temporary, until she returned to her usual happy self  ('''set-point theory'''). 

However, as she got older, she can't help but feel the on-going stress and pressure to perform well in her exams shifted something in her ability to regulate her emotions. As the stress continued to build up over the years, Emily feels as though her mood is only temporarily happy before returning a constant state of anxiety and sadness ('''dynamic-equilibrium theory''').{{RoundBoxBottom}}

==== Biopsychosocial model ====
As the name suggests, the Biopsychosocial model incorporates relevant aspects of biological, psychological, and sociological perspectives into the focus of SWB. This model proposes biological, psychological and social determinants all perform crucial and interrelated functions in shaping the outcomes of SWB ([[doi:10.1111/j.1742-1241.2009.02183.x|Kirana, Rosen &amp; Hatzichristou, 2009]]). Moreover, research applications of this model have examined the multifaceted nature of SWB outcomes, wherein, SWB variance between subjects can be attributable to any one or more of the three perspectives. While the biological aspect of this model supports certain aspects of similar frameworks, like the set-point theory, the psychological and social components add a layer of complexity by considering how certain mechanisms, both independent and collaborative, shape SWB outcomes ([[doi:10.1111/j.1742-1241.2009.02183.x|Kirana, Rosen &amp; Hatzichristou, 2009]]). For instance, while an individual may possess a genetically high SWB baseline, poor psychological mechanisms (e.g., negative thinking patterns) can still influence fluctuations along, or even shifts of the entire baseline. Moreover, social determinants also provide another level of consideration, wherein, the compounding effect of poor psychological mechanisms can either be reinforced or lessened depending on the social stimuli ([https://www.proquest.com/docview/2557409609?pq-origsite=gscholar&amp;fromopenview=true&amp;sourcetype=Dissertations%20&amp;%20Theses Mahama, 2021]). According to this model, this is also the case for older demographics, where SWB baseline shifts due to the decline in psychological mechanisms and social environments overtime ([https://www.proquest.com/docview/2557409609?pq-origsite=gscholar&amp;fromopenview=true&amp;sourcetype=Dissertations%20&amp;%20Theses Mahama, 2021]). {{RoundBoxTop|theme=5}}
== [[File:Light-bulb.png|Light-bulb|46x54px]] Knowledge quiz== 

&lt;quiz display=simple&gt;
According to the set-point theory, individuals with a high baseline, who experience short-term stress are likely to experience what SWB outcomes?
|type=&quot;()&quot;}
- Minor shifts of their SWB baseline
+ Fluctuations along their baseline
- Major shifts of their SWB baseline
- A continuous decline, away from their SWB baseline
&lt;/quiz&gt;

&lt;quiz display=simple&gt; True or false: According to the biopsychosocial model, the decline of psychological mechanism and social environment over the course of ageing triggers negative shifts of baseline SWB?
|type=&quot;()&quot;}
- False
+ True
&lt;/quiz&gt; 
{{RoundBoxBottom}}

==Conclusion==
SWB refers to internally evaluated perceptions of happiness and life-satisfaction ([https://link.springer.com/article/10.1007/s10519-015-9713-y Bartels, 2015]). These internal evaluations are largely shaped by complex interactions between genetic predispositions and environmental factors, making it both heritable and changeable. Derived from pivotal heritability research, such as twin and adoption studies, both psychologists and biologists alike underscore the significant role of heritability in SWB outcomes. Giving way to key conceptual frameworks, such as Headey's (2008; 2010) set-point theory model, genetic factors contribute to the predisposition of baseline SWB. The dynamic-equilibrium model builds upon this understanding and posits that while life-events trigger SWB fluctuations along the baseline, certain events that exceed the equilibrium can illicit shifts of the entire baseline. Additionally, this perspective argues that continuous exposure to certain social events can also cause the baseline to shift as it stabilises to the conditions of the environment. On the other hand, the biopsychosocial model recognises how the genetic baseline can be shifted or manipulated at the hands of compounded psychosocial factors. Specifically, poor social conditions, and dwindling psychological functionality in crucial processes (e.g., emotional regulation, decision-making, etc.) can cause the baseline to shift or continuously decline over extended periods of time. 

Given these relevant theoretical perspectives, SWB is, for the most part, genetically predetermined. However, with the compounded influence of psychological determinants and social conditions, SWB becomes malleable. Ultimately, while genetic factors provide the foundation for SWB, psychological mechanisms, involved in processing life-events, largely contribute towards shaping SWB outcomes. In the same capacity, conscious actions to maintain healthy psychological functioning, and adequately navigate through social conditions, all have the potential to override genetically determine SWB outcomes. Thus, while SWB is to some extent heritable, it is also highly responsive to psychological influence and social change.

==See also==
* [[Motivation and emotion/Book/2022/Gratitude and subjective wellbeing|Gratitude and subjective well-being]] (Book chapter, 2022)
* [[wikipedia:Subjective_well-being|Subjective well-being]] (Wikipedia)
* [[wikipedia:Six-factor_model_of_psychological_well-being|Six factor model of psychological well-being]] (Wikipedia)

== References ==
{{Hanging indent|1=

Angner, E. (2011). 'The evolution of eupathics: The historical roots of subjective measures of well-being', ''International Journal of Wellbeing, 1''(1), 4–41. https://papers.ssrn.com/sol3/papers.cfm?abstract_id=799166

Bartels, M. (2015). 'Genetics of wellbeing and its components satisfaction with life, happiness, and quality of life: a review and meta-analysis of heritability studies', ''Behaviour Genetics'', ''45'', 137–156. https://doi.org/10.1007/s10519-015-9713-y

Bartels, M., Boomsma, D.I. (2009). 'Born to be happy? The etiology of subjective well-being', ''Behaviour Genetics'', ''39'', 605–615. https://doi.org/10.1007/s10519-009-9294-8

Baselmans, B.M.L., van de Weijer, M.P., Abdellaoui, A., Vink, J.M., Hottenga, J.J., Willemsen, G., Nivard, M.G., de Geus, E.J., Boomsma, D., Bartels, M. (2019). 'A genetic investigation of the well-being spectrum', ''Behaviour Genetics, 49'', 286–297. https://doi.org/10.1007/s10519-019-09951-0

Diener, E., Seligman, M.E. (2004). 'Beyond money: Toward an economy of well-being', ''Psychological Science in the Public Interest, 5''(1), 1–31. https://doi.org/10.1111/j.0963-7214.2004.00501001.x

Dolan, P., Peasgood, T., White, M. (2008). Do we really know what makes us happy? A review of the economic literature on the factors associated with subjective well-being', ''Journal of Economic Psychology'', ''29''(1), 94–122. https://doi.org/10.1016/j.joep.2007.09.001

Headey, B. (2006). 'Subjective well-being: Revisions to dynamic equilibrium theory using national panel data and panel regression methods', ''Social Indicators Research, 79'', 369–403. https://doi.org/10.1007/s11205-005-5381-2

Headey, B. (2008). 'Life goals matter to happiness: A revision of set-point theory', ''Social Indicators Research, 86'', 213–231. https://doi.org/10.1007/s11205-007-9138-y

Headey, B. (2008). 'The set-point theory of well-being has serious flaws: On the eve of a scientific revolution?', ''Social Indicators Research, 97'', 7–21. https://doi.org/10.1007/s11205-009-9559-x

Headey, B. (2010). 'The set-point theory of well-being has serious flaws: On the eve of a scientific revolution?', ''Social Indicators Research, 97'', 7–21. https://doi.org/10.1007/s11205-009-9559-x

Headey, B., Wearing, A. (1989), 'Personality, life events, and subjective well-being: Toward a dynamic equilibrium model', ''Journal of Personality and Social Psychology, 57''(4), 731–739. https://psycnet.apa.org/buy/1990-00988-001

Kirana, P., Rosen, R., Hatzichristou, D. (2009). 'Subjective well-being as a determinant of individuals' responses to symptoms: a biopsychosocial perspective', ''International Journal of Clinical Practice, 63''(10), 1435–1445. https://doi.org/10.1111/j.1742-1241.2009.02183.x

Kozma, A., Stone, S., Stones, M.J. (2000). 'Stability in components and predictors of subjective well-being (SWB): Implications for SWB structure.', ''Advances in Quality of Life Theory and Research'', ''4'', 13–30. https://doi.org/10.1007/978-94-011-4291-5_2

Mahama, F. (2021). 'Comparing the impact of biopsychosocial factors on the subjective well-being (SWB) of older adults 50 years and over in the United States', ''A Thesis Submitted to the Department of Public Health'', 1–75. https://www.proquest.com/docview/2557409609?pq-origsite=gscholar&amp;fromopenview=true&amp;sourcetype=Dissertations%20&amp;%20Theses

Miko, I. (2008). 'Gregor Mendel's principles of inheritance form the cornerstone of modern genetics. So just what are they?', ''Nature Education, 1''(1), 134

Nes, R., Roysamb, E. (2015). 'The heritability of subjective well-being: Review and meta-analysis', ''The Genetics of Psychology well-being: The role of heritability and genetics in positive psychology'', 75–96.

Nes, R., Roysamb, E., Tambs, K., Harris, J., Reichborn-Kjennerud, T. (2006). 'Subjective well-being: Genetic and environmental contributions to stability and change', ''Psychological Medicine'', ''36''(7), 1033–1042. https://doi:10.1017/S0033291706007409

Tellegen, A., Lykken, D.T., Bouchard, T.J., Wilcox, K.J., Hertzog, C. (1988). 'Personality similarity in twins reared apart and together', ''Journal of Personality and Social Psychology'', ''54''(6), 1031–1039. https://doi.org/10.1037/0022-3514.54.6.1031

Turkheimer, E., Gottesman, I. (1991). 'Is H2=0 a null hypothesis anymore', ''Behavioural and Brain Sciences, 14''(3), 410–411. https://doi.org/10.1017/S0140525X00070540

}}

==External links==
* [https://www.aihw.gov.au/reports/children-youth/subjective-wellbeing Australia's youth: Subjective well-being (Australian Institute of Health and Welfare - ''AIHW'')]
* [https://www.aihw.gov.au/reports-data/indicators/australias-welfare-indicators/healthandsubjectivewellbeing/health-and-subjective-wellbeing Wellbeing: Health and subjective well-being (AIHW)]
* [https://www.youtube.com/watch?v=xIvdhyvOIG8 Twin Studies - Heredity] (YouTube, 2022)
* [https://www.sciencedirect.com/topics/social-sciences/subjective-well-being Subjective well-being: An overview (science direct)]  
* [https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6098054/ Twin studies on SWB and gene variance (NIH)]

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{{MECR3|1=https://youtu.be/asB62uH_e60}}
__TOC__

==Overview==
{{RoundBoxTop|theme=3}}
[[File:Man with superimposed brain.jpg|thumb|Figure 1 - Generated Image of &quot;the Brain During Lucid Dreaming&quot; according to AI]]

;Scenario

Imagine waking up in the middle of a dream, fully aware that you are dreaming and can control your actions and the dream environment.

{{expand}}
 
{{RoundBoxBottom}}

This experience of [[wikipedia:Lucid_dream|lucid dreaming]]is a phenomenon that has intrigued and inspired individuals across cultures for centuries. Whether it is to explore creativity, confront fears, or enhance personal growth, pursuing lucidity during sleep presents an array of possibilities{{g}}. Figure 1 shows an AI generated Image of &quot;the Brain During Lucid Dreaming&quot;.'''What is Lucid Dreaming?''' 

Lucid dreaming occurs primarily during [[wikipedia:Rapid_eye_movement_sleep|rapid eye movement (REM) sleep]], a phase when the brain exhibits activity levels similar to those in waking consciousness (Baird et al., 2019). Understanding the significance of dream awareness is crucial, as it opens the door to various techniques that can enhance the likelihood of achieving lucidity. These techniques include [[wikipedia:Reality_testing|reality testing]], mnemonic induction of lucid dreams (MILD), and wake-initiated lucid dreams (WILD), each employing different psychological and neurological mechanisms.

The exploration of lucid dreaming extends beyond mere curiosity; it touches on deeper psychological realms, offering a pathway for personal development and emotional healing. As we delve into the intricacies of this phenomenon, we will uncover the profound interplay between motivation, emotion, and cognition that shapes our dream experiences, paving the way for a richer understanding of both lucid dreaming and the human psyche.{{rewrite}}

{{RoundBoxTop|theme=3}}
;Focus questions

{{ic|Use numbered list per Tutorial 02}}

'''1. What are the most effective techniques for facilitating lucid dreaming?'''

'''2. How do these techniques operate on a psychological and neurological level?'''

'''3. What potential benefits and risks are associated with the practice of lucid dreaming?'''
{{RoundBoxBottom}}

== Theoretical framework for understanding lucid dreaming techniques ==
{{expand}}

=== Reality testing ===
{{expand}}

==== Definition and mechanism ====
Reality testing involves the practice of questioning one’s environment to determine whether one is dreaming or awake. According to Aspy et al. (2020), this technique enhances dream awareness and is particularly effective when the dreamer is motivated by a strong desire to achieve lucidity. By consistently engaging in reality checks throughout the day, individuals can increase their chances of recognising the dream state when it occurs at night. This proactive approach not only builds awareness but also reinforces the habit of questioning reality, which is crucial for achieving lucidity in dreams.

==== Psychological theory ====
From a psychological standpoint, reality testing can be understood through the lens of [[wikipedia:Cognitive_behavioral_therapy|Cognitive Behavioural Theory (CBT)]]. CBT posits that our thoughts, feelings, and behaviours are interconnected, and modifying one aspect can lead to changes in the others. Regular reality checks enhance dream awareness, particularly when motivated by a strong desire to become lucid. Emotional events can also serve as significant triggers for reality testing within dreams. As noted by Baird et al. (2019), “Research suggests that this cognitive conditioning fosters a greater likelihood of recognising the dream state.” This implies that by training the mind to question reality consistently, individuals can develop a heightened sense of awareness, facilitating the recognition of dreams as they unfold.

==== Case study ====
A compelling illustration of the effectiveness of reality testing can be found in a case study conducted by Forrer (2014). In this study, an individual engaged in reality testing techniques over several weeks, which included frequent questioning of their surroundings and the use of various reality checks, such as looking at their hands or reading text. This participant reported an increased ability to recognise when they were dreaming, leading to a significant number of lucid dreams. The findings from Forrer’s study highlight the practical application of reality testing and its potential to empower individuals in their journey towards achieving lucidity in dreams.

=== Mnemonic induction of lucid dreams ===
{{expand}}

==== '''Definition and mechanism''' ====
Mnemonic Induction of Lucid Dreams (MILD) is a technique designed to enhance the likelihood of achieving lucidity during dreaming by setting clear intentions before sleep. This method involves the repetition of affirmations, such as &quot;I will realise I am dreaming,&quot; which serves to prime the mind for lucidity (Aspy et al., 2017). The effectiveness of MILD is significantly influenced by the individual's motivation and emotional investment in the process, as these factors contribute to a stronger intention to achieve lucidity{{f}}.

==== '''Psychological theory''' ====
The theoretical foundation for MILD can be understood through the lens of Motivational Theory, particularly Goal-Setting Theory. According to Locke and Latham (2002), specific and challenging goals yield higher performance than vague or easily attainable ones. When individuals set explicit goals, such as the intention to recognise when they are dreaming, they are more likely to achieve those goals{{f}}. This aligns with the MILD technique, which emphasises the importance of clarity and commitment in setting lucid dreaming intentions.

=== Wake-initiated lucid dreams ===
{{expand}}

==== Definition and mechanism ====
Wake-Initiated Lucid Dreams (WILD) is a technique that allows individuals to transition directly from wakefulness into a dream state while maintaining consciousness (Baird et al., 2019). This technique requires a calm emotional state and positive motivation, enabling the dreamer to remain aware as they slip into the dream world.

==== Psychological Theory ====
The concept of WILD aligns with [[wikipedia:Mindfulness|Mindfulness Theory]], which emphasises present-moment awareness and emotional regulation. Practising mindfulness helps individuals maintain awareness of their thoughts and feelings as they enter a dream state, facilitating a seamless transition into lucidity (Baird et al., 2019).

=== Critical analysis of lucid dreaming techniques ===
While techniques such as Reality Testing, Mnemonic Induction of Lucid Dreams (MILD), and Wake-Initiated Lucid Dreams (WILD) present promising avenues for facilitating lucid dreaming, their effectiveness can vary significantly among individuals{{f}}. A key consideration is the reliance on motivation, which may not be equally effective for all, particularly for those struggling with mental health issues like anxiety or depression. Research indicates that such conditions can hinder emotional regulation, making it challenging for affected individuals to engage effectively with techniques that require a positive emotional state (Menefee et al., 2022).

Furthermore, while Reality Testing is a foundational technique in lucid dream facilitation, it may not be sufficient on its own for everyone. Some individuals may find greater success when complemented with strategies like MILD or WILD, which focus on intention-setting and maintaining awareness during the transition into sleep.{{f}} The integration of these methods can potentially enhance the likelihood of achieving lucidity and navigating dream scenarios effectively{{f}}.

The emotional outcomes of lucid dreaming are not universally beneficial. Research by Neuhäusler et al. (2018) suggests that not all individuals experience positive emotional benefits from lucid dreaming; instead, some may encounter anxiety or distress, particularly when faced with challenging dream scenarios. This highlights the necessity of considering individual differences and emotional responses when exploring lucid dreaming techniques.

The implications of these findings suggest that while techniques such as MILD and WILD can be valuable tools for some individuals, there is a need for tailored approaches that consider individual psychological profiles. Practitioners and researchers alike should remain cognisant of these variances and incorporate complementary strategies and supports that can enhance emotional regulation and overall dream experience.

{{robelbox|theme=8|title=Quiz question 1|iconwidth=55px|icon=Search-icon-white-background.png}}  &lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
&lt;quiz display=&quot;simple&quot;&gt;
 Which lucid dreaming induction technique involves questioning the reality of one's environment? 
|type=&quot;()&quot;}
- Wake-initiated lucid dreams (WILD)
- Mnemonic induction of lucid dreams (MILD)
+ Reality testing
&lt;/quiz&gt;
&lt;/div&gt;{{RoundBoxBottom}}

== Motivation in lucid dreaming ==
{{expand}}

=== The importance of motivation in lucid dream success ===
Motivation plays a pivotal role in the success of lucid dreaming techniques. Research indicates that strong motivation significantly increases the likelihood of practising and effectively utilising these techniques (Konkoly &amp; Burke, 2019). Personal goals, such as overcoming nightmares or exploring creativity, often drive this motivation{{f}}. Individuals who set specific intentions for their dream experiences are more likely to engage consistently in practices that lead to lucidity, making motivation a critical factor in the overall process of achieving and maintaining awareness within dreams{{f}}.

For example, a study by Aspy et al. (2020) found that dreamers who were motivated by specific objectives, like problem-solving or self-exploration, reported higher instances of lucid dreams. This demonstrates the importance of aligning personal aspirations with the techniques employed to achieve lucidity, highlighting how motivation can transform the dream experience.

=== Techniques to enhance motivation for lucid dreaming ===
Several strategies can be employed to enhance motivation for lucid dreaming. Keeping a dream journal is one effective method; by documenting dreams and tracking progress, individuals can cultivate a deeper connection to their dream life, which reinforces their motivation to become lucid (Baird et al., 2022). Setting clear goals related to dream experiences further strengthens this motivation. For instance, specific intentions, such as “I want to confront my fears in a dream,” can foster a proactive mindset towards achieving lucidity.

Additionally, visualising the desired outcome before sleep can enhance motivation. This technique, often used in sports psychology, encourages individuals to picture themselves successfully becoming lucid within their dreams. This mental rehearsal not only solidifies their intentions but also primes the mind for the experience of lucidity (Menefee et al., 2022). By employing these strategies, individuals can create a motivating environment conducive to achieving their lucid dreaming goals.

{{robelbox|theme=8|title=Quiz question 2|iconwidth=55px|icon=Search-icon-white-background.png}}  &lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
  &lt;quiz display=&quot;simple&quot;&gt;
 2. What is an example of setting a specific intention to strengthen motivation for lucid dreaming? 
|type=&quot;()&quot;}
- Deciding to sleep longer hours each night.
+ Intending to confront fears within a dream.
- Choosing to ignore nightmares altogether.
&lt;/quiz&gt;
&lt;/div&gt;{{RoundBoxBottom}}

== Emotion in lucid dreaming ==
{{expand}}

=== Emotional triggers for lucid dreams ===
Emotions experienced during the day, particularly intense emotions like fear, excitement, or anxiety, can serve as powerful triggers for becoming lucid in a dream. These emotions often carry over into the dream state, creating unusual or exaggerated emotional experiences that prompt the dreamer to question the reality of the situation, thus enhancing lucidity (Menefee et al., 2022). For example, individuals dealing with anxiety may experience heightened dream awareness when these feelings surface in their dreams, providing an opportunity to become lucid and address underlying issues.

=== The role of emotion in dream awareness ===
Within dreams, the intensity of emotions often plays a critical role in fostering self-awareness. Emotions that feel unusually strong or deviate from the dreamer's normal emotional experiences, such as extreme joy or fear, can serve as cues that they are dreaming (Neuhäusler et al., 2018). These emotionally charged moments create a heightened sense of awareness, prompting the dreamer to recognise the dream state and potentially achieve lucidity. Research has demonstrated that dreamers who frequently experience intense emotions, particularly negative emotions like fear, are more likely to become lucid as they learn to recognise these feelings as dream cues (van Agteren et al., 2021{{ic|This article doesn't refer to dreams}}).

=== Emotion regulation and exploration through lucid dreaming ===
Lucid dreaming provides a valuable space for emotion regulation and exploration. Within the lucid state, individuals have the ability to consciously engage with difficult emotions, such as fear, grief, or anger, in a controlled and safe environment. This allows for emotional processing and, over time, emotional healing. Dreamers can use lucidity to confront emotional challenges, rewrite the narrative of distressing dreams, or even transform nightmares into empowering experiences (Neuhäusler et al., 2018). Studies suggest that this emotional engagement can lead to improved emotional regulation and psychological well-being, especially for those with frequent nightmares or emotional distress (van Agteren et al., 2021).

{{robelbox|theme=8|title=Quiz question 3|iconwidth=55px|icon=Search-icon-white-background.png}}  &lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
&lt;quiz display=&quot;simple&quot;&gt;

What role do emotions intense emotions like fear or anxiety, play in lucid dreaming?
|type=&quot;()&quot;}
- They have no effect on lucid dreaming.
+ They can serve as triggers, prompting the dreamer to question the reality of the dream and become lucid.
- Intense emotions prevent the dreamer from becoming lucid.
&lt;/quiz&gt;
&lt;/div&gt;
{{RoundBoxBottom}}

== Psychological and neurological mechanisms ==
{{expand}}

=== Rapid eye movement sleep and lucid dreaming ===
Lucid dreaming typically occurs during rapid eye movement (REM) sleep, a stage when brain activity closely resembles that of waking consciousness. During REM sleep, vivid dreams are common, and the brain's heightened activity provides an optimal environment for lucidity (Baird et al., 2019). This period of sleep is marked by increased neural activity in regions involved in cognition and sensory processing, making it possible for the dreamer to recognise the dream state{{f}}.

=== Memory and awareness in lucid dreaming ===
The ability to become aware of and control dreams relies heavily on memory and self-awareness{{f}}. Memory recall, especially related to recent events, can serve as a trigger for recognising that one is dreaming.{{f}} Awareness of the incongruities in the dream environment further facilitates lucidity{{f}}. Lucid dreamers often demonstrate heightened metacognitive awareness—an understanding of their own thinking processes—which allows them to distinguish between dreaming and waking states (Baird et al., 2019; Voss et al., 2009).

=== Brain regions involved in lucid dreaming ===
Studies have shown that certain brain regions, particularly the prefrontal cortex, exhibit heightened activity during lucid dreaming{{f}}. The prefrontal cortex is responsible for higher-order cognitive functions, including decision-making, self-reflection, and awareness—skills that are essential for recognising and manipulating the dream state (Dresler et al., 2015). Additionally, the parietal lobe and temporo-parietal junction, which are involved in spatial awareness and self-representation, also show increased activity during lucid dreams, facilitating the dreamer's sense of control (Baird et al., 2019).

{{robelbox|theme=8|title=Quiz question 4|iconwidth=55px|icon=Search-icon-white-background.png}}  &lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
&lt;quiz display=&quot;simple&quot;&gt;
Which brain region is primarily responsible for the heightened awareness and decision-making necessary for lucid dreaming?
|type=&quot;()&quot;}
+ The prefrontal cortex
- The brainstem
- The cerebellum
&lt;/quiz&gt;
&lt;/div&gt;{{RoundBoxBottom}}

==Conclusion==
Lucid dreaming presents a fascinating intersection of psychology, motivation, and emotion, offering individuals a unique opportunity to explore their inner worlds while awake in their dreams. The key points outlined throughout this chapter illustrate the significance of understanding lucid dreaming techniques, such as reality testing, mnemonic induction of lucid dreams (MILD), and wake-initiated lucid dreams (WILD). Each of these techniques leverages psychological theories—like Goal-Setting Theory and Mindfulness Theory—demonstrating how motivation and emotional awareness play pivotal roles in achieving lucidity.

The exploration of focus questions reveals that while techniques can enhance the likelihood of experiencing lucid dreams, their effectiveness may vary based on individual emotional states and motivations. For instance, personal goals, such as overcoming nightmares or fostering creativity, can greatly influence one's success in achieving lucidity (Konkoly &amp; Burke, 2019). Conversely, challenges like anxiety and depression may hinder emotional regulation, potentially complicating the lucid dreaming experience (Menefee et al., 2022).

By engaging with our dreams, we can confront and process difficult emotions, ultimately leading to a deeper understanding of ourselves. As illustrated in the thought experiment at the beginning of this chapter, the power of lucid dreaming allows us not only to manipulate our dream environments but also to navigate our emotional landscapes.

As we move forward, embracing the techniques for achieving lucid dreaming can empower individuals to harness the full potential of their dreaming experiences, transforming nightmares into opportunities for resilience and creativity. Ultimately, lucid dreaming invites us to explore the vast expanse of our consciousness, bridging the gap between our waking and dreaming selves.

== See also ==
* [[wikipedia:Lucid_dream|Lucid Dream (Wikipedia)]]
* [[Motivation and emotion/Book/2014/Dreams and emotion|Dreams and Emotion (Book chapter, 2014)]]

==References==
{{Hanging indent|1=

Aspy, D. J. (2020). Findings from the international lucid dream induction study. Frontiers in Psychology, 11. https://doi.org/10.3389/fpsyg.2020.01746

Baird, B., Mota-Rolim, S. A., &amp; Dresler, M. (2019). The cognitive neuroscience of lucid dreaming. Neuroscience &amp; Biobehavioral Reviews, 100, 305–323. https://doi.org/10.1016/j.neubiorev.2019.03.008

Dresler, M., Wehrle, R., Spoormaker, V. I., Steiger, A., Holsboer, F., Czisch, M., &amp; Hobson, J. A. (2015). Neural correlates of insight in dreaming and psychosis. Sleep Medicine Reviews, 20, 92–99. https://doi.org/10.1016/j.smrv.2014.06.004

Forrer, K. (2014). “To test or not to test, that is the question” - is there a way of verifying the validity of the interpretation of our dreams?. International Journal of Dream Research, 7(2), 153–169. https://doi.org/10.11588/ijodr.2014.2.15033

Konkoly, K., &amp; Burke, C. T. (2019). Can learning to lucid dream promote personal growth? Dreaming, 29(2). https://doi.org/10.1037/drm0000101

Locke, E. A., &amp; Latham, G. P. (2002). Building a practically useful theory of goal setting and task motivation: A 35-year odyssey. American Psychologist, 57(9), 705–717.

Menefee, D. S., Ledoux, T., Johnston, C. A., &amp; DeBakey, M. E. (2022). The importance of emotional regulation in mental health. American Journal of Lifestyle Medicine, 16(1), 28–31. https://doi.org/10.1177/15598276211049771

Neuhäusler, A., Schredl, M., &amp; Göritz, A. S. (2018). General knowledge about lucid dreaming and lucid dream induction techniques: An online study. International Journal of Dream Research, 179–185. https://doi.org/10.11588/ijodr.2018.2.50491

van Agteren, J., Iasiello, M., Lo, L., Bartholomaeus, J., Kopsaftis, Z., Carey, M., &amp; Kyrios, M. (2021). A systematic review and meta-analysis of psychological interventions to improve mental wellbeing. Nature Human Behaviour, 5(5), 631–652. https://doi.org/10.1038/s41562-021-01093-w

Voss, U., Holzmann, R., Tuin, I., &amp; Hobson, A. J. (2009). Lucid dreaming: A state of consciousness with features of both waking and non-lucid dreaming. Sleep, 32(9), 1191–1200. https://doi.org/10.1093/sleep/32.9.1191

}}

== External links ==
* [https://www.sleepfoundation.org/dreams/lucid-dreams How to Lucid Dream: Expert Tips and Tricks]

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{{MECR3|1=https://youtu.be/asB62uH_e60}}
__TOC__

==Overview==
{{RoundBoxTop|theme=3}}
;Scenario

Imagine waking up in the middle of a dream, fully aware that you are dreaming and can control your actions and the dream environment.

{{expand}}
 
{{RoundBoxBottom}}

This experience of [[wikipedia:Lucid_dream|lucid dreaming]]is a phenomenon that has intrigued and inspired individuals across cultures for centuries. Whether it is to explore creativity, confront fears, or enhance personal growth, pursuing lucidity during sleep presents an array of possibilities{{g}}. Figure 1 shows an AI generated Image of &quot;the Brain During Lucid Dreaming&quot;.'''What is Lucid Dreaming?''' 

Lucid dreaming occurs primarily during [[wikipedia:Rapid_eye_movement_sleep|rapid eye movement (REM) sleep]], a phase when the brain exhibits activity levels similar to those in waking consciousness (Baird et al., 2019). Understanding the significance of dream awareness is crucial, as it opens the door to various techniques that can enhance the likelihood of achieving lucidity. These techniques include [[wikipedia:Reality_testing|reality testing]], mnemonic induction of lucid dreams (MILD), and wake-initiated lucid dreams (WILD), each employing different psychological and neurological mechanisms.

The exploration of lucid dreaming extends beyond mere curiosity; it touches on deeper psychological realms, offering a pathway for personal development and emotional healing. As we delve into the intricacies of this phenomenon, we will uncover the profound interplay between motivation, emotion, and cognition that shapes our dream experiences, paving the way for a richer understanding of both lucid dreaming and the human psyche.{{rewrite}}

{{RoundBoxTop|theme=3}}
;Focus questions

{{ic|Use numbered list per Tutorial 02}}

'''1. What are the most effective techniques for facilitating lucid dreaming?'''

'''2. How do these techniques operate on a psychological and neurological level?'''

'''3. What potential benefits and risks are associated with the practice of lucid dreaming?'''
{{RoundBoxBottom}}

== Theoretical framework for understanding lucid dreaming techniques ==
{{expand}}

=== Reality testing ===
{{expand}}

==== Definition and mechanism ====
Reality testing involves the practice of questioning one’s environment to determine whether one is dreaming or awake. According to Aspy et al. (2020), this technique enhances dream awareness and is particularly effective when the dreamer is motivated by a strong desire to achieve lucidity. By consistently engaging in reality checks throughout the day, individuals can increase their chances of recognising the dream state when it occurs at night. This proactive approach not only builds awareness but also reinforces the habit of questioning reality, which is crucial for achieving lucidity in dreams.

==== Psychological theory ====
From a psychological standpoint, reality testing can be understood through the lens of [[wikipedia:Cognitive_behavioral_therapy|Cognitive Behavioural Theory (CBT)]]. CBT posits that our thoughts, feelings, and behaviours are interconnected, and modifying one aspect can lead to changes in the others. Regular reality checks enhance dream awareness, particularly when motivated by a strong desire to become lucid. Emotional events can also serve as significant triggers for reality testing within dreams. As noted by Baird et al. (2019), “Research suggests that this cognitive conditioning fosters a greater likelihood of recognising the dream state.” This implies that by training the mind to question reality consistently, individuals can develop a heightened sense of awareness, facilitating the recognition of dreams as they unfold.

==== Case study ====
A compelling illustration of the effectiveness of reality testing can be found in a case study conducted by Forrer (2014). In this study, an individual engaged in reality testing techniques over several weeks, which included frequent questioning of their surroundings and the use of various reality checks, such as looking at their hands or reading text. This participant reported an increased ability to recognise when they were dreaming, leading to a significant number of lucid dreams. The findings from Forrer’s study highlight the practical application of reality testing and its potential to empower individuals in their journey towards achieving lucidity in dreams.

=== Mnemonic induction of lucid dreams ===
{{expand}}

==== '''Definition and mechanism''' ====
Mnemonic Induction of Lucid Dreams (MILD) is a technique designed to enhance the likelihood of achieving lucidity during dreaming by setting clear intentions before sleep. This method involves the repetition of affirmations, such as &quot;I will realise I am dreaming,&quot; which serves to prime the mind for lucidity (Aspy et al., 2017). The effectiveness of MILD is significantly influenced by the individual's motivation and emotional investment in the process, as these factors contribute to a stronger intention to achieve lucidity{{f}}.

==== '''Psychological theory''' ====
The theoretical foundation for MILD can be understood through the lens of Motivational Theory, particularly Goal-Setting Theory. According to Locke and Latham (2002), specific and challenging goals yield higher performance than vague or easily attainable ones. When individuals set explicit goals, such as the intention to recognise when they are dreaming, they are more likely to achieve those goals{{f}}. This aligns with the MILD technique, which emphasises the importance of clarity and commitment in setting lucid dreaming intentions.

=== Wake-initiated lucid dreams ===
{{expand}}

==== Definition and mechanism ====
Wake-Initiated Lucid Dreams (WILD) is a technique that allows individuals to transition directly from wakefulness into a dream state while maintaining consciousness (Baird et al., 2019). This technique requires a calm emotional state and positive motivation, enabling the dreamer to remain aware as they slip into the dream world.

==== Psychological Theory ====
The concept of WILD aligns with [[wikipedia:Mindfulness|Mindfulness Theory]], which emphasises present-moment awareness and emotional regulation. Practising mindfulness helps individuals maintain awareness of their thoughts and feelings as they enter a dream state, facilitating a seamless transition into lucidity (Baird et al., 2019).

=== Critical analysis of lucid dreaming techniques ===
While techniques such as Reality Testing, Mnemonic Induction of Lucid Dreams (MILD), and Wake-Initiated Lucid Dreams (WILD) present promising avenues for facilitating lucid dreaming, their effectiveness can vary significantly among individuals{{f}}. A key consideration is the reliance on motivation, which may not be equally effective for all, particularly for those struggling with mental health issues like anxiety or depression. Research indicates that such conditions can hinder emotional regulation, making it challenging for affected individuals to engage effectively with techniques that require a positive emotional state (Menefee et al., 2022).

Furthermore, while Reality Testing is a foundational technique in lucid dream facilitation, it may not be sufficient on its own for everyone. Some individuals may find greater success when complemented with strategies like MILD or WILD, which focus on intention-setting and maintaining awareness during the transition into sleep.{{f}} The integration of these methods can potentially enhance the likelihood of achieving lucidity and navigating dream scenarios effectively{{f}}.

The emotional outcomes of lucid dreaming are not universally beneficial. Research by Neuhäusler et al. (2018) suggests that not all individuals experience positive emotional benefits from lucid dreaming; instead, some may encounter anxiety or distress, particularly when faced with challenging dream scenarios. This highlights the necessity of considering individual differences and emotional responses when exploring lucid dreaming techniques.

The implications of these findings suggest that while techniques such as MILD and WILD can be valuable tools for some individuals, there is a need for tailored approaches that consider individual psychological profiles. Practitioners and researchers alike should remain cognisant of these variances and incorporate complementary strategies and supports that can enhance emotional regulation and overall dream experience.

{{robelbox|theme=8|title=Quiz question 1|iconwidth=55px|icon=Search-icon-white-background.png}}  &lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
&lt;quiz display=&quot;simple&quot;&gt;
 Which lucid dreaming induction technique involves questioning the reality of one's environment? 
|type=&quot;()&quot;}
- Wake-initiated lucid dreams (WILD)
- Mnemonic induction of lucid dreams (MILD)
+ Reality testing
&lt;/quiz&gt;
&lt;/div&gt;{{RoundBoxBottom}}

== Motivation in lucid dreaming ==
{{expand}}

=== The importance of motivation in lucid dream success ===
Motivation plays a pivotal role in the success of lucid dreaming techniques. Research indicates that strong motivation significantly increases the likelihood of practising and effectively utilising these techniques (Konkoly &amp; Burke, 2019). Personal goals, such as overcoming nightmares or exploring creativity, often drive this motivation{{f}}. Individuals who set specific intentions for their dream experiences are more likely to engage consistently in practices that lead to lucidity, making motivation a critical factor in the overall process of achieving and maintaining awareness within dreams{{f}}.

For example, a study by Aspy et al. (2020) found that dreamers who were motivated by specific objectives, like problem-solving or self-exploration, reported higher instances of lucid dreams. This demonstrates the importance of aligning personal aspirations with the techniques employed to achieve lucidity, highlighting how motivation can transform the dream experience.

=== Techniques to enhance motivation for lucid dreaming ===
Several strategies can be employed to enhance motivation for lucid dreaming. Keeping a dream journal is one effective method; by documenting dreams and tracking progress, individuals can cultivate a deeper connection to their dream life, which reinforces their motivation to become lucid (Baird et al., 2022). Setting clear goals related to dream experiences further strengthens this motivation. For instance, specific intentions, such as “I want to confront my fears in a dream,” can foster a proactive mindset towards achieving lucidity.

Additionally, visualising the desired outcome before sleep can enhance motivation. This technique, often used in sports psychology, encourages individuals to picture themselves successfully becoming lucid within their dreams. This mental rehearsal not only solidifies their intentions but also primes the mind for the experience of lucidity (Menefee et al., 2022). By employing these strategies, individuals can create a motivating environment conducive to achieving their lucid dreaming goals.

{{robelbox|theme=8|title=Quiz question 2|iconwidth=55px|icon=Search-icon-white-background.png}}  &lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
  &lt;quiz display=&quot;simple&quot;&gt;
 2. What is an example of setting a specific intention to strengthen motivation for lucid dreaming? 
|type=&quot;()&quot;}
- Deciding to sleep longer hours each night.
+ Intending to confront fears within a dream.
- Choosing to ignore nightmares altogether.
&lt;/quiz&gt;
&lt;/div&gt;{{RoundBoxBottom}}

== Emotion in lucid dreaming ==
{{expand}}

=== Emotional triggers for lucid dreams ===
Emotions experienced during the day, particularly intense emotions like fear, excitement, or anxiety, can serve as powerful triggers for becoming lucid in a dream. These emotions often carry over into the dream state, creating unusual or exaggerated emotional experiences that prompt the dreamer to question the reality of the situation, thus enhancing lucidity (Menefee et al., 2022). For example, individuals dealing with anxiety may experience heightened dream awareness when these feelings surface in their dreams, providing an opportunity to become lucid and address underlying issues.

=== The role of emotion in dream awareness ===
Within dreams, the intensity of emotions often plays a critical role in fostering self-awareness. Emotions that feel unusually strong or deviate from the dreamer's normal emotional experiences, such as extreme joy or fear, can serve as cues that they are dreaming (Neuhäusler et al., 2018). These emotionally charged moments create a heightened sense of awareness, prompting the dreamer to recognise the dream state and potentially achieve lucidity. Research has demonstrated that dreamers who frequently experience intense emotions, particularly negative emotions like fear, are more likely to become lucid as they learn to recognise these feelings as dream cues (van Agteren et al., 2021{{ic|This article doesn't refer to dreams}}).

=== Emotion regulation and exploration through lucid dreaming ===
Lucid dreaming provides a valuable space for emotion regulation and exploration. Within the lucid state, individuals have the ability to consciously engage with difficult emotions, such as fear, grief, or anger, in a controlled and safe environment. This allows for emotional processing and, over time, emotional healing. Dreamers can use lucidity to confront emotional challenges, rewrite the narrative of distressing dreams, or even transform nightmares into empowering experiences (Neuhäusler et al., 2018). Studies suggest that this emotional engagement can lead to improved emotional regulation and psychological well-being, especially for those with frequent nightmares or emotional distress (van Agteren et al., 2021).

{{robelbox|theme=8|title=Quiz question 3|iconwidth=55px|icon=Search-icon-white-background.png}}  &lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
&lt;quiz display=&quot;simple&quot;&gt;

What role do emotions intense emotions like fear or anxiety, play in lucid dreaming?
|type=&quot;()&quot;}
- They have no effect on lucid dreaming.
+ They can serve as triggers, prompting the dreamer to question the reality of the dream and become lucid.
- Intense emotions prevent the dreamer from becoming lucid.
&lt;/quiz&gt;
&lt;/div&gt;
{{RoundBoxBottom}}

== Psychological and neurological mechanisms ==
{{expand}}

=== Rapid eye movement sleep and lucid dreaming ===
Lucid dreaming typically occurs during rapid eye movement (REM) sleep, a stage when brain activity closely resembles that of waking consciousness. During REM sleep, vivid dreams are common, and the brain's heightened activity provides an optimal environment for lucidity (Baird et al., 2019). This period of sleep is marked by increased neural activity in regions involved in cognition and sensory processing, making it possible for the dreamer to recognise the dream state{{f}}.

=== Memory and awareness in lucid dreaming ===
The ability to become aware of and control dreams relies heavily on memory and self-awareness{{f}}. Memory recall, especially related to recent events, can serve as a trigger for recognising that one is dreaming.{{f}} Awareness of the incongruities in the dream environment further facilitates lucidity{{f}}. Lucid dreamers often demonstrate heightened metacognitive awareness—an understanding of their own thinking processes—which allows them to distinguish between dreaming and waking states (Baird et al., 2019; Voss et al., 2009).

=== Brain regions involved in lucid dreaming ===
Studies have shown that certain brain regions, particularly the prefrontal cortex, exhibit heightened activity during lucid dreaming{{f}}. The prefrontal cortex is responsible for higher-order cognitive functions, including decision-making, self-reflection, and awareness—skills that are essential for recognising and manipulating the dream state (Dresler et al., 2015). Additionally, the parietal lobe and temporo-parietal junction, which are involved in spatial awareness and self-representation, also show increased activity during lucid dreams, facilitating the dreamer's sense of control (Baird et al., 2019).

{{robelbox|theme=8|title=Quiz question 4|iconwidth=55px|icon=Search-icon-white-background.png}}  &lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
&lt;quiz display=&quot;simple&quot;&gt;
Which brain region is primarily responsible for the heightened awareness and decision-making necessary for lucid dreaming?
|type=&quot;()&quot;}
+ The prefrontal cortex
- The brainstem
- The cerebellum
&lt;/quiz&gt;
&lt;/div&gt;{{RoundBoxBottom}}

==Conclusion==
Lucid dreaming presents a fascinating intersection of psychology, motivation, and emotion, offering individuals a unique opportunity to explore their inner worlds while awake in their dreams. The key points outlined throughout this chapter illustrate the significance of understanding lucid dreaming techniques, such as reality testing, mnemonic induction of lucid dreams (MILD), and wake-initiated lucid dreams (WILD). Each of these techniques leverages psychological theories—like Goal-Setting Theory and Mindfulness Theory—demonstrating how motivation and emotional awareness play pivotal roles in achieving lucidity.

The exploration of focus questions reveals that while techniques can enhance the likelihood of experiencing lucid dreams, their effectiveness may vary based on individual emotional states and motivations. For instance, personal goals, such as overcoming nightmares or fostering creativity, can greatly influence one's success in achieving lucidity (Konkoly &amp; Burke, 2019). Conversely, challenges like anxiety and depression may hinder emotional regulation, potentially complicating the lucid dreaming experience (Menefee et al., 2022).

By engaging with our dreams, we can confront and process difficult emotions, ultimately leading to a deeper understanding of ourselves. As illustrated in the thought experiment at the beginning of this chapter, the power of lucid dreaming allows us not only to manipulate our dream environments but also to navigate our emotional landscapes.

As we move forward, embracing the techniques for achieving lucid dreaming can empower individuals to harness the full potential of their dreaming experiences, transforming nightmares into opportunities for resilience and creativity. Ultimately, lucid dreaming invites us to explore the vast expanse of our consciousness, bridging the gap between our waking and dreaming selves.

== See also ==
* [[wikipedia:Lucid_dream|Lucid Dream (Wikipedia)]]
* [[Motivation and emotion/Book/2014/Dreams and emotion|Dreams and Emotion (Book chapter, 2014)]]

==References==
{{Hanging indent|1=

Aspy, D. J. (2020). Findings from the international lucid dream induction study. Frontiers in Psychology, 11. https://doi.org/10.3389/fpsyg.2020.01746

Baird, B., Mota-Rolim, S. A., &amp; Dresler, M. (2019). The cognitive neuroscience of lucid dreaming. Neuroscience &amp; Biobehavioral Reviews, 100, 305–323. https://doi.org/10.1016/j.neubiorev.2019.03.008

Dresler, M., Wehrle, R., Spoormaker, V. I., Steiger, A., Holsboer, F., Czisch, M., &amp; Hobson, J. A. (2015). Neural correlates of insight in dreaming and psychosis. Sleep Medicine Reviews, 20, 92–99. https://doi.org/10.1016/j.smrv.2014.06.004

Forrer, K. (2014). “To test or not to test, that is the question” - is there a way of verifying the validity of the interpretation of our dreams?. International Journal of Dream Research, 7(2), 153–169. https://doi.org/10.11588/ijodr.2014.2.15033

Konkoly, K., &amp; Burke, C. T. (2019). Can learning to lucid dream promote personal growth? Dreaming, 29(2). https://doi.org/10.1037/drm0000101

Locke, E. A., &amp; Latham, G. P. (2002). Building a practically useful theory of goal setting and task motivation: A 35-year odyssey. American Psychologist, 57(9), 705–717.

Menefee, D. S., Ledoux, T., Johnston, C. A., &amp; DeBakey, M. E. (2022). The importance of emotional regulation in mental health. American Journal of Lifestyle Medicine, 16(1), 28–31. https://doi.org/10.1177/15598276211049771

Neuhäusler, A., Schredl, M., &amp; Göritz, A. S. (2018). General knowledge about lucid dreaming and lucid dream induction techniques: An online study. International Journal of Dream Research, 179–185. https://doi.org/10.11588/ijodr.2018.2.50491

van Agteren, J., Iasiello, M., Lo, L., Bartholomaeus, J., Kopsaftis, Z., Carey, M., &amp; Kyrios, M. (2021). A systematic review and meta-analysis of psychological interventions to improve mental wellbeing. Nature Human Behaviour, 5(5), 631–652. https://doi.org/10.1038/s41562-021-01093-w

Voss, U., Holzmann, R., Tuin, I., &amp; Hobson, A. J. (2009). Lucid dreaming: A state of consciousness with features of both waking and non-lucid dreaming. Sleep, 32(9), 1191–1200. https://doi.org/10.1093/sleep/32.9.1191

}}

== External links ==
* [https://www.sleepfoundation.org/dreams/lucid-dreams How to Lucid Dream: Expert Tips and Tricks]

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{{MECR3|1=https://youtu.be/asB62uH_e60}}
__TOC__

==Overview==
{{RoundBoxTop|theme=3}}
[[File:Man with superimposed brain.jpg|thumb|Figure 1 - Generated Image of &quot;the Brain During Lucid Dreaming&quot; according to AI]]

;Scenario

Imagine waking up in the middle of a dream, fully aware that you are dreaming and can control your actions and the dream environment.

{{expand}}
 
{{RoundBoxBottom}}

This experience of [[wikipedia:Lucid_dream|lucid dreaming]]is a phenomenon that has intrigued and inspired individuals across cultures for centuries. Whether it is to explore creativity, confront fears, or enhance personal growth, pursuing lucidity during sleep presents an array of possibilities{{g}}. Figure 1 shows an AI generated Image of &quot;the Brain During Lucid Dreaming&quot;.'''What is Lucid Dreaming?''' 

Lucid dreaming occurs primarily during [[wikipedia:Rapid_eye_movement_sleep|rapid eye movement (REM) sleep]], a phase when the brain exhibits activity levels similar to those in waking consciousness (Baird et al., 2019). Understanding the significance of dream awareness is crucial, as it opens the door to various techniques that can enhance the likelihood of achieving lucidity. These techniques include [[wikipedia:Reality_testing|reality testing]], mnemonic induction of lucid dreams (MILD), and wake-initiated lucid dreams (WILD), each employing different psychological and neurological mechanisms.

The exploration of lucid dreaming extends beyond mere curiosity; it touches on deeper psychological realms, offering a pathway for personal development and emotional healing. As we delve into the intricacies of this phenomenon, we will uncover the profound interplay between motivation, emotion, and cognition that shapes our dream experiences, paving the way for a richer understanding of both lucid dreaming and the human psyche.{{rewrite}}

{{RoundBoxTop|theme=3}}
;Focus questions

{{ic|Use numbered list per Tutorial 02}}

'''1. What are the most effective techniques for facilitating lucid dreaming?'''

'''2. How do these techniques operate on a psychological and neurological level?'''

'''3. What potential benefits and risks are associated with the practice of lucid dreaming?'''
{{RoundBoxBottom}}

== Theoretical framework for understanding lucid dreaming techniques ==
{{expand}}

=== Reality testing ===
{{expand}}

==== Definition and mechanism ====
Reality testing involves the practice of questioning one’s environment to determine whether one is dreaming or awake. According to Aspy et al. (2020), this technique enhances dream awareness and is particularly effective when the dreamer is motivated by a strong desire to achieve lucidity. By consistently engaging in reality checks throughout the day, individuals can increase their chances of recognising the dream state when it occurs at night. This proactive approach not only builds awareness but also reinforces the habit of questioning reality, which is crucial for achieving lucidity in dreams.

==== Psychological theory ====
From a psychological standpoint, reality testing can be understood through the lens of [[wikipedia:Cognitive_behavioral_therapy|Cognitive Behavioural Theory (CBT)]]. CBT posits that our thoughts, feelings, and behaviours are interconnected, and modifying one aspect can lead to changes in the others. Regular reality checks enhance dream awareness, particularly when motivated by a strong desire to become lucid. Emotional events can also serve as significant triggers for reality testing within dreams. As noted by Baird et al. (2019), “Research suggests that this cognitive conditioning fosters a greater likelihood of recognising the dream state.” This implies that by training the mind to question reality consistently, individuals can develop a heightened sense of awareness, facilitating the recognition of dreams as they unfold.

==== Case study ====
A compelling illustration of the effectiveness of reality testing can be found in a case study conducted by Forrer (2014). In this study, an individual engaged in reality testing techniques over several weeks, which included frequent questioning of their surroundings and the use of various reality checks, such as looking at their hands or reading text. This participant reported an increased ability to recognise when they were dreaming, leading to a significant number of lucid dreams. The findings from Forrer’s study highlight the practical application of reality testing and its potential to empower individuals in their journey towards achieving lucidity in dreams.

=== Mnemonic induction of lucid dreams ===
{{expand}}

==== '''Definition and mechanism''' ====
Mnemonic Induction of Lucid Dreams (MILD) is a technique designed to enhance the likelihood of achieving lucidity during dreaming by setting clear intentions before sleep. This method involves the repetition of affirmations, such as &quot;I will realise I am dreaming,&quot; which serves to prime the mind for lucidity (Aspy et al., 2017). The effectiveness of MILD is significantly influenced by the individual's motivation and emotional investment in the process, as these factors contribute to a stronger intention to achieve lucidity{{f}}.

==== '''Psychological theory''' ====
The theoretical foundation for MILD can be understood through the lens of Motivational Theory, particularly Goal-Setting Theory. According to Locke and Latham (2002), specific and challenging goals yield higher performance than vague or easily attainable ones. When individuals set explicit goals, such as the intention to recognise when they are dreaming, they are more likely to achieve those goals{{f}}. This aligns with the MILD technique, which emphasises the importance of clarity and commitment in setting lucid dreaming intentions.

=== Wake-initiated lucid dreams ===
{{expand}}

==== Definition and mechanism ====
Wake-Initiated Lucid Dreams (WILD) is a technique that allows individuals to transition directly from wakefulness into a dream state while maintaining consciousness (Baird et al., 2019). This technique requires a calm emotional state and positive motivation, enabling the dreamer to remain aware as they slip into the dream world.

==== Psychological Theory ====
The concept of WILD aligns with [[wikipedia:Mindfulness|Mindfulness Theory]], which emphasises present-moment awareness and emotional regulation. Practising mindfulness helps individuals maintain awareness of their thoughts and feelings as they enter a dream state, facilitating a seamless transition into lucidity (Baird et al., 2019).

=== Critical analysis of lucid dreaming techniques ===
While techniques such as Reality Testing, Mnemonic Induction of Lucid Dreams (MILD), and Wake-Initiated Lucid Dreams (WILD) present promising avenues for facilitating lucid dreaming, their effectiveness can vary significantly among individuals{{f}}. A key consideration is the reliance on motivation, which may not be equally effective for all, particularly for those struggling with mental health issues like anxiety or depression. Research indicates that such conditions can hinder emotional regulation, making it challenging for affected individuals to engage effectively with techniques that require a positive emotional state (Menefee et al., 2022).

Furthermore, while Reality Testing is a foundational technique in lucid dream facilitation, it may not be sufficient on its own for everyone. Some individuals may find greater success when complemented with strategies like MILD or WILD, which focus on intention-setting and maintaining awareness during the transition into sleep.{{f}} The integration of these methods can potentially enhance the likelihood of achieving lucidity and navigating dream scenarios effectively{{f}}.

The emotional outcomes of lucid dreaming are not universally beneficial. Research by Neuhäusler et al. (2018) suggests that not all individuals experience positive emotional benefits from lucid dreaming; instead, some may encounter anxiety or distress, particularly when faced with challenging dream scenarios. This highlights the necessity of considering individual differences and emotional responses when exploring lucid dreaming techniques.

The implications of these findings suggest that while techniques such as MILD and WILD can be valuable tools for some individuals, there is a need for tailored approaches that consider individual psychological profiles. Practitioners and researchers alike should remain cognisant of these variances and incorporate complementary strategies and supports that can enhance emotional regulation and overall dream experience.

{{robelbox|theme=8|title=Quiz question 1|iconwidth=55px|icon=Search-icon-white-background.png}}  &lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
&lt;quiz display=&quot;simple&quot;&gt;
 Which lucid dreaming induction technique involves questioning the reality of one's environment? 
|type=&quot;()&quot;}
- Wake-initiated lucid dreams (WILD)
- Mnemonic induction of lucid dreams (MILD)
+ Reality testing
&lt;/quiz&gt;
&lt;/div&gt;{{RoundBoxBottom}}

== Motivation in lucid dreaming ==
{{expand}}

=== The importance of motivation in lucid dream success ===
Motivation plays a pivotal role in the success of lucid dreaming techniques. Research indicates that strong motivation significantly increases the likelihood of practising and effectively utilising these techniques (Konkoly &amp; Burke, 2019). Personal goals, such as overcoming nightmares or exploring creativity, often drive this motivation{{f}}. Individuals who set specific intentions for their dream experiences are more likely to engage consistently in practices that lead to lucidity, making motivation a critical factor in the overall process of achieving and maintaining awareness within dreams{{f}}.

For example, a study by Aspy et al. (2020) found that dreamers who were motivated by specific objectives, like problem-solving or self-exploration, reported higher instances of lucid dreams. This demonstrates the importance of aligning personal aspirations with the techniques employed to achieve lucidity, highlighting how motivation can transform the dream experience.

=== Techniques to enhance motivation for lucid dreaming ===
Several strategies can be employed to enhance motivation for lucid dreaming. Keeping a dream journal is one effective method; by documenting dreams and tracking progress, individuals can cultivate a deeper connection to their dream life, which reinforces their motivation to become lucid (Baird et al., 2022). Setting clear goals related to dream experiences further strengthens this motivation. For instance, specific intentions, such as “I want to confront my fears in a dream,” can foster a proactive mindset towards achieving lucidity.

Additionally, visualising the desired outcome before sleep can enhance motivation. This technique, often used in sports psychology, encourages individuals to picture themselves successfully becoming lucid within their dreams. This mental rehearsal not only solidifies their intentions but also primes the mind for the experience of lucidity (Menefee et al., 2022). By employing these strategies, individuals can create a motivating environment conducive to achieving their lucid dreaming goals.

{{robelbox|theme=8|title=Quiz question 2|iconwidth=55px|icon=Search-icon-white-background.png}}  &lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
  &lt;quiz display=&quot;simple&quot;&gt;
 2. What is an example of setting a specific intention to strengthen motivation for lucid dreaming? 
|type=&quot;()&quot;}
- Deciding to sleep longer hours each night.
+ Intending to confront fears within a dream.
- Choosing to ignore nightmares altogether.
&lt;/quiz&gt;
&lt;/div&gt;{{RoundBoxBottom}}

== Emotion in lucid dreaming ==
{{expand}}

=== Emotional triggers for lucid dreams ===
Emotions experienced during the day, particularly intense emotions like fear, excitement, or anxiety, can serve as powerful triggers for becoming lucid in a dream. These emotions often carry over into the dream state, creating unusual or exaggerated emotional experiences that prompt the dreamer to question the reality of the situation, thus enhancing lucidity (Menefee et al., 2022). For example, individuals dealing with anxiety may experience heightened dream awareness when these feelings surface in their dreams, providing an opportunity to become lucid and address underlying issues.

=== The role of emotion in dream awareness ===
Within dreams, the intensity of emotions often plays a critical role in fostering self-awareness. Emotions that feel unusually strong or deviate from the dreamer's normal emotional experiences, such as extreme joy or fear, can serve as cues that they are dreaming (Neuhäusler et al., 2018). These emotionally charged moments create a heightened sense of awareness, prompting the dreamer to recognise the dream state and potentially achieve lucidity. Research has demonstrated that dreamers who frequently experience intense emotions, particularly negative emotions like fear, are more likely to become lucid as they learn to recognise these feelings as dream cues (van Agteren et al., 2021{{ic|This article doesn't refer to dreams}}).

=== Emotion regulation and exploration through lucid dreaming ===
Lucid dreaming provides a valuable space for emotion regulation and exploration. Within the lucid state, individuals have the ability to consciously engage with difficult emotions, such as fear, grief, or anger, in a controlled and safe environment. This allows for emotional processing and, over time, emotional healing. Dreamers can use lucidity to confront emotional challenges, rewrite the narrative of distressing dreams, or even transform nightmares into empowering experiences (Neuhäusler et al., 2018). Studies suggest that this emotional engagement can lead to improved emotional regulation and psychological well-being, especially for those with frequent nightmares or emotional distress (van Agteren et al., 2021).

{{robelbox|theme=8|title=Quiz question 3|iconwidth=55px|icon=Search-icon-white-background.png}}  &lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
&lt;quiz display=&quot;simple&quot;&gt;

What role do emotions intense emotions like fear or anxiety, play in lucid dreaming?
|type=&quot;()&quot;}
- They have no effect on lucid dreaming.
+ They can serve as triggers, prompting the dreamer to question the reality of the dream and become lucid.
- Intense emotions prevent the dreamer from becoming lucid.
&lt;/quiz&gt;
&lt;/div&gt;
{{RoundBoxBottom}}

== Psychological and neurological mechanisms ==
{{expand}}

=== Rapid eye movement sleep and lucid dreaming ===
Lucid dreaming typically occurs during rapid eye movement (REM) sleep, a stage when brain activity closely resembles that of waking consciousness. During REM sleep, vivid dreams are common, and the brain's heightened activity provides an optimal environment for lucidity (Baird et al., 2019). This period of sleep is marked by increased neural activity in regions involved in cognition and sensory processing, making it possible for the dreamer to recognise the dream state{{f}}.

=== Memory and awareness in lucid dreaming ===
The ability to become aware of and control dreams relies heavily on memory and self-awareness{{f}}. Memory recall, especially related to recent events, can serve as a trigger for recognising that one is dreaming.{{f}} Awareness of the incongruities in the dream environment further facilitates lucidity{{f}}. Lucid dreamers often demonstrate heightened metacognitive awareness—an understanding of their own thinking processes—which allows them to distinguish between dreaming and waking states (Baird et al., 2019; Voss et al., 2009).

=== Brain regions involved in lucid dreaming ===
Studies have shown that certain brain regions, particularly the prefrontal cortex, exhibit heightened activity during lucid dreaming{{f}}. The prefrontal cortex is responsible for higher-order cognitive functions, including decision-making, self-reflection, and awareness—skills that are essential for recognising and manipulating the dream state (Dresler et al., 2015). Additionally, the parietal lobe and temporo-parietal junction, which are involved in spatial awareness and self-representation, also show increased activity during lucid dreams, facilitating the dreamer's sense of control (Baird et al., 2019).

{{robelbox|theme=8|title=Quiz question 4|iconwidth=55px|icon=Search-icon-white-background.png}}  &lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
&lt;quiz display=&quot;simple&quot;&gt;
Which brain region is primarily responsible for the heightened awareness and decision-making necessary for lucid dreaming?
|type=&quot;()&quot;}
+ The prefrontal cortex
- The brainstem
- The cerebellum
&lt;/quiz&gt;
&lt;/div&gt;{{RoundBoxBottom}}

==Conclusion==
Lucid dreaming presents a fascinating intersection of psychology, motivation, and emotion, offering individuals a unique opportunity to explore their inner worlds while awake in their dreams. The key points outlined throughout this chapter illustrate the significance of understanding lucid dreaming techniques, such as reality testing, mnemonic induction of lucid dreams (MILD), and wake-initiated lucid dreams (WILD). Each of these techniques leverages psychological theories—like Goal-Setting Theory and Mindfulness Theory—demonstrating how motivation and emotional awareness play pivotal roles in achieving lucidity.

The exploration of focus questions reveals that while techniques can enhance the likelihood of experiencing lucid dreams, their effectiveness may vary based on individual emotional states and motivations. For instance, personal goals, such as overcoming nightmares or fostering creativity, can greatly influence one's success in achieving lucidity (Konkoly &amp; Burke, 2019). Conversely, challenges like anxiety and depression may hinder emotional regulation, potentially complicating the lucid dreaming experience (Menefee et al., 2022).

By engaging with our dreams, we can confront and process difficult emotions, ultimately leading to a deeper understanding of ourselves. As illustrated in the thought experiment at the beginning of this chapter, the power of lucid dreaming allows us not only to manipulate our dream environments but also to navigate our emotional landscapes.

As we move forward, embracing the techniques for achieving lucid dreaming can empower individuals to harness the full potential of their dreaming experiences, transforming nightmares into opportunities for resilience and creativity. Ultimately, lucid dreaming invites us to explore the vast expanse of our consciousness, bridging the gap between our waking and dreaming selves.

== See also ==
* [[wikipedia:Lucid_dream|Lucid Dream (Wikipedia)]]
* [[Motivation and emotion/Book/2014/Dreams and emotion|Dreams and Emotion (Book chapter, 2014)]]

==References==
{{Hanging indent|1=

Aspy, D. J. (2020). Findings from the international lucid dream induction study. Frontiers in Psychology, 11. https://doi.org/10.3389/fpsyg.2020.01746

Baird, B., Mota-Rolim, S. A., &amp; Dresler, M. (2019). The cognitive neuroscience of lucid dreaming. Neuroscience &amp; Biobehavioral Reviews, 100, 305–323. https://doi.org/10.1016/j.neubiorev.2019.03.008

Dresler, M., Wehrle, R., Spoormaker, V. I., Steiger, A., Holsboer, F., Czisch, M., &amp; Hobson, J. A. (2015). Neural correlates of insight in dreaming and psychosis. Sleep Medicine Reviews, 20, 92–99. https://doi.org/10.1016/j.smrv.2014.06.004

Forrer, K. (2014). “To test or not to test, that is the question” - is there a way of verifying the validity of the interpretation of our dreams?. International Journal of Dream Research, 7(2), 153–169. https://doi.org/10.11588/ijodr.2014.2.15033

Konkoly, K., &amp; Burke, C. T. (2019). Can learning to lucid dream promote personal growth? Dreaming, 29(2). https://doi.org/10.1037/drm0000101

Locke, E. A., &amp; Latham, G. P. (2002). Building a practically useful theory of goal setting and task motivation: A 35-year odyssey. American Psychologist, 57(9), 705–717.

Menefee, D. S., Ledoux, T., Johnston, C. A., &amp; DeBakey, M. E. (2022). The importance of emotional regulation in mental health. American Journal of Lifestyle Medicine, 16(1), 28–31. https://doi.org/10.1177/15598276211049771

Neuhäusler, A., Schredl, M., &amp; Göritz, A. S. (2018). General knowledge about lucid dreaming and lucid dream induction techniques: An online study. International Journal of Dream Research, 179–185. https://doi.org/10.11588/ijodr.2018.2.50491

van Agteren, J., Iasiello, M., Lo, L., Bartholomaeus, J., Kopsaftis, Z., Carey, M., &amp; Kyrios, M. (2021). A systematic review and meta-analysis of psychological interventions to improve mental wellbeing. Nature Human Behaviour, 5(5), 631–652. https://doi.org/10.1038/s41562-021-01093-w

Voss, U., Holzmann, R., Tuin, I., &amp; Hobson, A. J. (2009). Lucid dreaming: A state of consciousness with features of both waking and non-lucid dreaming. Sleep, 32(9), 1191–1200. https://doi.org/10.1093/sleep/32.9.1191

}}

== External links ==
* [https://www.sleepfoundation.org/dreams/lucid-dreams How to Lucid Dream: Expert Tips and Tricks]

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      <text bytes="21018" sha1="3dg0o10loqdpl2z4jfsnhzsq5yv9g39" xml:space="preserve">{{title|Lucid dream facilitation:&lt;br&gt;What techniques can facilitate lucid dreaming?}}
{{MECR3|1=https://youtu.be/asB62uH_e60}}
__TOC__

==Overview==
{{RoundBoxTop|theme=3}}

;Scenario

Imagine waking up in the middle of a dream, fully aware that you are dreaming and can control your actions and the dream environment.

{{expand}}
 
{{RoundBoxBottom}}

This experience of [[wikipedia:Lucid_dream|lucid dreaming]]is a phenomenon that has intrigued and inspired individuals across cultures for centuries. Whether it is to explore creativity, confront fears, or enhance personal growth, pursuing lucidity during sleep presents an array of possibilities{{g}}. Figure 1 shows an AI generated Image of &quot;the Brain During Lucid Dreaming&quot;.'''What is Lucid Dreaming?''' 

Lucid dreaming occurs primarily during [[wikipedia:Rapid_eye_movement_sleep|rapid eye movement (REM) sleep]], a phase when the brain exhibits activity levels similar to those in waking consciousness (Baird et al., 2019). Understanding the significance of dream awareness is crucial, as it opens the door to various techniques that can enhance the likelihood of achieving lucidity. These techniques include [[wikipedia:Reality_testing|reality testing]], mnemonic induction of lucid dreams (MILD), and wake-initiated lucid dreams (WILD), each employing different psychological and neurological mechanisms.

The exploration of lucid dreaming extends beyond mere curiosity; it touches on deeper psychological realms, offering a pathway for personal development and emotional healing. As we delve into the intricacies of this phenomenon, we will uncover the profound interplay between motivation, emotion, and cognition that shapes our dream experiences, paving the way for a richer understanding of both lucid dreaming and the human psyche.{{rewrite}}

{{RoundBoxTop|theme=3}}
;Focus questions

{{ic|Use numbered list per Tutorial 02}}

'''1. What are the most effective techniques for facilitating lucid dreaming?'''

'''2. How do these techniques operate on a psychological and neurological level?'''

'''3. What potential benefits and risks are associated with the practice of lucid dreaming?'''
{{RoundBoxBottom}}

== Theoretical framework for understanding lucid dreaming techniques ==
{{expand}}

=== Reality testing ===
{{expand}}

==== Definition and mechanism ====
Reality testing involves the practice of questioning one’s environment to determine whether one is dreaming or awake. According to Aspy et al. (2020), this technique enhances dream awareness and is particularly effective when the dreamer is motivated by a strong desire to achieve lucidity. By consistently engaging in reality checks throughout the day, individuals can increase their chances of recognising the dream state when it occurs at night. This proactive approach not only builds awareness but also reinforces the habit of questioning reality, which is crucial for achieving lucidity in dreams.

==== Psychological theory ====
From a psychological standpoint, reality testing can be understood through the lens of [[wikipedia:Cognitive_behavioral_therapy|Cognitive Behavioural Theory (CBT)]]. CBT posits that our thoughts, feelings, and behaviours are interconnected, and modifying one aspect can lead to changes in the others. Regular reality checks enhance dream awareness, particularly when motivated by a strong desire to become lucid. Emotional events can also serve as significant triggers for reality testing within dreams. As noted by Baird et al. (2019), “Research suggests that this cognitive conditioning fosters a greater likelihood of recognising the dream state.” This implies that by training the mind to question reality consistently, individuals can develop a heightened sense of awareness, facilitating the recognition of dreams as they unfold.

==== Case study ====
A compelling illustration of the effectiveness of reality testing can be found in a case study conducted by Forrer (2014). In this study, an individual engaged in reality testing techniques over several weeks, which included frequent questioning of their surroundings and the use of various reality checks, such as looking at their hands or reading text. This participant reported an increased ability to recognise when they were dreaming, leading to a significant number of lucid dreams. The findings from Forrer’s study highlight the practical application of reality testing and its potential to empower individuals in their journey towards achieving lucidity in dreams.

=== Mnemonic induction of lucid dreams ===
{{expand}}

==== '''Definition and mechanism''' ====
Mnemonic Induction of Lucid Dreams (MILD) is a technique designed to enhance the likelihood of achieving lucidity during dreaming by setting clear intentions before sleep. This method involves the repetition of affirmations, such as &quot;I will realise I am dreaming,&quot; which serves to prime the mind for lucidity (Aspy et al., 2017). The effectiveness of MILD is significantly influenced by the individual's motivation and emotional investment in the process, as these factors contribute to a stronger intention to achieve lucidity{{f}}.

==== '''Psychological theory''' ====
The theoretical foundation for MILD can be understood through the lens of Motivational Theory, particularly Goal-Setting Theory. According to Locke and Latham (2002), specific and challenging goals yield higher performance than vague or easily attainable ones. When individuals set explicit goals, such as the intention to recognise when they are dreaming, they are more likely to achieve those goals{{f}}. This aligns with the MILD technique, which emphasises the importance of clarity and commitment in setting lucid dreaming intentions.

=== Wake-initiated lucid dreams ===
{{expand}}

==== Definition and mechanism ====
Wake-Initiated Lucid Dreams (WILD) is a technique that allows individuals to transition directly from wakefulness into a dream state while maintaining consciousness (Baird et al., 2019). This technique requires a calm emotional state and positive motivation, enabling the dreamer to remain aware as they slip into the dream world.

==== Psychological Theory ====
The concept of WILD aligns with [[wikipedia:Mindfulness|Mindfulness Theory]], which emphasises present-moment awareness and emotional regulation. Practising mindfulness helps individuals maintain awareness of their thoughts and feelings as they enter a dream state, facilitating a seamless transition into lucidity (Baird et al., 2019).

=== Critical analysis of lucid dreaming techniques ===
While techniques such as Reality Testing, Mnemonic Induction of Lucid Dreams (MILD), and Wake-Initiated Lucid Dreams (WILD) present promising avenues for facilitating lucid dreaming, their effectiveness can vary significantly among individuals{{f}}. A key consideration is the reliance on motivation, which may not be equally effective for all, particularly for those struggling with mental health issues like anxiety or depression. Research indicates that such conditions can hinder emotional regulation, making it challenging for affected individuals to engage effectively with techniques that require a positive emotional state (Menefee et al., 2022).

Furthermore, while Reality Testing is a foundational technique in lucid dream facilitation, it may not be sufficient on its own for everyone. Some individuals may find greater success when complemented with strategies like MILD or WILD, which focus on intention-setting and maintaining awareness during the transition into sleep.{{f}} The integration of these methods can potentially enhance the likelihood of achieving lucidity and navigating dream scenarios effectively{{f}}.

The emotional outcomes of lucid dreaming are not universally beneficial. Research by Neuhäusler et al. (2018) suggests that not all individuals experience positive emotional benefits from lucid dreaming; instead, some may encounter anxiety or distress, particularly when faced with challenging dream scenarios. This highlights the necessity of considering individual differences and emotional responses when exploring lucid dreaming techniques.

The implications of these findings suggest that while techniques such as MILD and WILD can be valuable tools for some individuals, there is a need for tailored approaches that consider individual psychological profiles. Practitioners and researchers alike should remain cognisant of these variances and incorporate complementary strategies and supports that can enhance emotional regulation and overall dream experience.

{{robelbox|theme=8|title=Quiz question 1|iconwidth=55px|icon=Search-icon-white-background.png}}  &lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
&lt;quiz display=&quot;simple&quot;&gt;
 Which lucid dreaming induction technique involves questioning the reality of one's environment? 
|type=&quot;()&quot;}
- Wake-initiated lucid dreams (WILD)
- Mnemonic induction of lucid dreams (MILD)
+ Reality testing
&lt;/quiz&gt;
&lt;/div&gt;{{RoundBoxBottom}}

== Motivation in lucid dreaming ==
{{expand}}

=== The importance of motivation in lucid dream success ===
Motivation plays a pivotal role in the success of lucid dreaming techniques. Research indicates that strong motivation significantly increases the likelihood of practising and effectively utilising these techniques (Konkoly &amp; Burke, 2019). Personal goals, such as overcoming nightmares or exploring creativity, often drive this motivation{{f}}. Individuals who set specific intentions for their dream experiences are more likely to engage consistently in practices that lead to lucidity, making motivation a critical factor in the overall process of achieving and maintaining awareness within dreams{{f}}.

For example, a study by Aspy et al. (2020) found that dreamers who were motivated by specific objectives, like problem-solving or self-exploration, reported higher instances of lucid dreams. This demonstrates the importance of aligning personal aspirations with the techniques employed to achieve lucidity, highlighting how motivation can transform the dream experience.

=== Techniques to enhance motivation for lucid dreaming ===
Several strategies can be employed to enhance motivation for lucid dreaming. Keeping a dream journal is one effective method; by documenting dreams and tracking progress, individuals can cultivate a deeper connection to their dream life, which reinforces their motivation to become lucid (Baird et al., 2022). Setting clear goals related to dream experiences further strengthens this motivation. For instance, specific intentions, such as “I want to confront my fears in a dream,” can foster a proactive mindset towards achieving lucidity.

Additionally, visualising the desired outcome before sleep can enhance motivation. This technique, often used in sports psychology, encourages individuals to picture themselves successfully becoming lucid within their dreams. This mental rehearsal not only solidifies their intentions but also primes the mind for the experience of lucidity (Menefee et al., 2022). By employing these strategies, individuals can create a motivating environment conducive to achieving their lucid dreaming goals.

{{robelbox|theme=8|title=Quiz question 2|iconwidth=55px|icon=Search-icon-white-background.png}}  &lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
  &lt;quiz display=&quot;simple&quot;&gt;
 2. What is an example of setting a specific intention to strengthen motivation for lucid dreaming? 
|type=&quot;()&quot;}
- Deciding to sleep longer hours each night.
+ Intending to confront fears within a dream.
- Choosing to ignore nightmares altogether.
&lt;/quiz&gt;
&lt;/div&gt;{{RoundBoxBottom}}

== Emotion in lucid dreaming ==
{{expand}}

=== Emotional triggers for lucid dreams ===
Emotions experienced during the day, particularly intense emotions like fear, excitement, or anxiety, can serve as powerful triggers for becoming lucid in a dream. These emotions often carry over into the dream state, creating unusual or exaggerated emotional experiences that prompt the dreamer to question the reality of the situation, thus enhancing lucidity (Menefee et al., 2022). For example, individuals dealing with anxiety may experience heightened dream awareness when these feelings surface in their dreams, providing an opportunity to become lucid and address underlying issues.

=== The role of emotion in dream awareness ===
Within dreams, the intensity of emotions often plays a critical role in fostering self-awareness. Emotions that feel unusually strong or deviate from the dreamer's normal emotional experiences, such as extreme joy or fear, can serve as cues that they are dreaming (Neuhäusler et al., 2018). These emotionally charged moments create a heightened sense of awareness, prompting the dreamer to recognise the dream state and potentially achieve lucidity. Research has demonstrated that dreamers who frequently experience intense emotions, particularly negative emotions like fear, are more likely to become lucid as they learn to recognise these feelings as dream cues (van Agteren et al., 2021{{ic|This article doesn't refer to dreams}}).

=== Emotion regulation and exploration through lucid dreaming ===
Lucid dreaming provides a valuable space for emotion regulation and exploration. Within the lucid state, individuals have the ability to consciously engage with difficult emotions, such as fear, grief, or anger, in a controlled and safe environment. This allows for emotional processing and, over time, emotional healing. Dreamers can use lucidity to confront emotional challenges, rewrite the narrative of distressing dreams, or even transform nightmares into empowering experiences (Neuhäusler et al., 2018). Studies suggest that this emotional engagement can lead to improved emotional regulation and psychological well-being, especially for those with frequent nightmares or emotional distress (van Agteren et al., 2021).

{{robelbox|theme=8|title=Quiz question 3|iconwidth=55px|icon=Search-icon-white-background.png}}  &lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
&lt;quiz display=&quot;simple&quot;&gt;

What role do emotions intense emotions like fear or anxiety, play in lucid dreaming?
|type=&quot;()&quot;}
- They have no effect on lucid dreaming.
+ They can serve as triggers, prompting the dreamer to question the reality of the dream and become lucid.
- Intense emotions prevent the dreamer from becoming lucid.
&lt;/quiz&gt;
&lt;/div&gt;
{{RoundBoxBottom}}

== Psychological and neurological mechanisms ==
{{expand}}

=== Rapid eye movement sleep and lucid dreaming ===
Lucid dreaming typically occurs during rapid eye movement (REM) sleep, a stage when brain activity closely resembles that of waking consciousness. During REM sleep, vivid dreams are common, and the brain's heightened activity provides an optimal environment for lucidity (Baird et al., 2019). This period of sleep is marked by increased neural activity in regions involved in cognition and sensory processing, making it possible for the dreamer to recognise the dream state{{f}}.

=== Memory and awareness in lucid dreaming ===
The ability to become aware of and control dreams relies heavily on memory and self-awareness{{f}}. Memory recall, especially related to recent events, can serve as a trigger for recognising that one is dreaming.{{f}} Awareness of the incongruities in the dream environment further facilitates lucidity{{f}}. Lucid dreamers often demonstrate heightened metacognitive awareness—an understanding of their own thinking processes—which allows them to distinguish between dreaming and waking states (Baird et al., 2019; Voss et al., 2009).

=== Brain regions involved in lucid dreaming ===
Studies have shown that certain brain regions, particularly the prefrontal cortex, exhibit heightened activity during lucid dreaming{{f}}. The prefrontal cortex is responsible for higher-order cognitive functions, including decision-making, self-reflection, and awareness—skills that are essential for recognising and manipulating the dream state (Dresler et al., 2015). Additionally, the parietal lobe and temporo-parietal junction, which are involved in spatial awareness and self-representation, also show increased activity during lucid dreams, facilitating the dreamer's sense of control (Baird et al., 2019).

{{robelbox|theme=8|title=Quiz question 4|iconwidth=55px|icon=Search-icon-white-background.png}}  &lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
&lt;quiz display=&quot;simple&quot;&gt;
Which brain region is primarily responsible for the heightened awareness and decision-making necessary for lucid dreaming?
|type=&quot;()&quot;}
+ The prefrontal cortex
- The brainstem
- The cerebellum
&lt;/quiz&gt;
&lt;/div&gt;{{RoundBoxBottom}}

==Conclusion==
Lucid dreaming presents a fascinating intersection of psychology, motivation, and emotion, offering individuals a unique opportunity to explore their inner worlds while awake in their dreams. The key points outlined throughout this chapter illustrate the significance of understanding lucid dreaming techniques, such as reality testing, mnemonic induction of lucid dreams (MILD), and wake-initiated lucid dreams (WILD). Each of these techniques leverages psychological theories—like Goal-Setting Theory and Mindfulness Theory—demonstrating how motivation and emotional awareness play pivotal roles in achieving lucidity.

The exploration of focus questions reveals that while techniques can enhance the likelihood of experiencing lucid dreams, their effectiveness may vary based on individual emotional states and motivations. For instance, personal goals, such as overcoming nightmares or fostering creativity, can greatly influence one's success in achieving lucidity (Konkoly &amp; Burke, 2019). Conversely, challenges like anxiety and depression may hinder emotional regulation, potentially complicating the lucid dreaming experience (Menefee et al., 2022).

By engaging with our dreams, we can confront and process difficult emotions, ultimately leading to a deeper understanding of ourselves. As illustrated in the thought experiment at the beginning of this chapter, the power of lucid dreaming allows us not only to manipulate our dream environments but also to navigate our emotional landscapes.

As we move forward, embracing the techniques for achieving lucid dreaming can empower individuals to harness the full potential of their dreaming experiences, transforming nightmares into opportunities for resilience and creativity. Ultimately, lucid dreaming invites us to explore the vast expanse of our consciousness, bridging the gap between our waking and dreaming selves.

== See also ==
* [[wikipedia:Lucid_dream|Lucid Dream (Wikipedia)]]
* [[Motivation and emotion/Book/2014/Dreams and emotion|Dreams and Emotion (Book chapter, 2014)]]

==References==
{{Hanging indent|1=

Aspy, D. J. (2020). Findings from the international lucid dream induction study. Frontiers in Psychology, 11. https://doi.org/10.3389/fpsyg.2020.01746

Baird, B., Mota-Rolim, S. A., &amp; Dresler, M. (2019). The cognitive neuroscience of lucid dreaming. Neuroscience &amp; Biobehavioral Reviews, 100, 305–323. https://doi.org/10.1016/j.neubiorev.2019.03.008

Dresler, M., Wehrle, R., Spoormaker, V. I., Steiger, A., Holsboer, F., Czisch, M., &amp; Hobson, J. A. (2015). Neural correlates of insight in dreaming and psychosis. Sleep Medicine Reviews, 20, 92–99. https://doi.org/10.1016/j.smrv.2014.06.004

Forrer, K. (2014). “To test or not to test, that is the question” - is there a way of verifying the validity of the interpretation of our dreams?. International Journal of Dream Research, 7(2), 153–169. https://doi.org/10.11588/ijodr.2014.2.15033

Konkoly, K., &amp; Burke, C. T. (2019). Can learning to lucid dream promote personal growth? Dreaming, 29(2). https://doi.org/10.1037/drm0000101

Locke, E. A., &amp; Latham, G. P. (2002). Building a practically useful theory of goal setting and task motivation: A 35-year odyssey. American Psychologist, 57(9), 705–717.

Menefee, D. S., Ledoux, T., Johnston, C. A., &amp; DeBakey, M. E. (2022). The importance of emotional regulation in mental health. American Journal of Lifestyle Medicine, 16(1), 28–31. https://doi.org/10.1177/15598276211049771

Neuhäusler, A., Schredl, M., &amp; Göritz, A. S. (2018). General knowledge about lucid dreaming and lucid dream induction techniques: An online study. International Journal of Dream Research, 179–185. https://doi.org/10.11588/ijodr.2018.2.50491

van Agteren, J., Iasiello, M., Lo, L., Bartholomaeus, J., Kopsaftis, Z., Carey, M., &amp; Kyrios, M. (2021). A systematic review and meta-analysis of psychological interventions to improve mental wellbeing. Nature Human Behaviour, 5(5), 631–652. https://doi.org/10.1038/s41562-021-01093-w

Voss, U., Holzmann, R., Tuin, I., &amp; Hobson, A. J. (2009). Lucid dreaming: A state of consciousness with features of both waking and non-lucid dreaming. Sleep, 32(9), 1191–1200. https://doi.org/10.1093/sleep/32.9.1191

}}

== External links ==
* [https://www.sleepfoundation.org/dreams/lucid-dreams How to Lucid Dream: Expert Tips and Tricks]

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{{MECR3|1=https://youtu.be/asB62uH_e60}}
__TOC__

==Overview==
{{RoundBoxTop|theme=3}}
[[File:Johann Heinrich Füssli - The Shepherd's Dream.jpg|right|150px]]
;Scenario

Imagine waking up in the middle of a dream, fully aware that you are dreaming and can control your actions and the dream environment.

{{expand}}
 
{{RoundBoxBottom}}

This experience of [[wikipedia:Lucid_dream|lucid dreaming]]is a phenomenon that has intrigued and inspired individuals across cultures for centuries. Whether it is to explore creativity, confront fears, or enhance personal growth, pursuing lucidity during sleep presents an array of possibilities{{g}}. Figure 1 shows an AI generated Image of &quot;the Brain During Lucid Dreaming&quot;.'''What is Lucid Dreaming?''' 

Lucid dreaming occurs primarily during [[wikipedia:Rapid_eye_movement_sleep|rapid eye movement (REM) sleep]], a phase when the brain exhibits activity levels similar to those in waking consciousness (Baird et al., 2019). Understanding the significance of dream awareness is crucial, as it opens the door to various techniques that can enhance the likelihood of achieving lucidity. These techniques include [[wikipedia:Reality_testing|reality testing]], mnemonic induction of lucid dreams (MILD), and wake-initiated lucid dreams (WILD), each employing different psychological and neurological mechanisms.

The exploration of lucid dreaming extends beyond mere curiosity; it touches on deeper psychological realms, offering a pathway for personal development and emotional healing. As we delve into the intricacies of this phenomenon, we will uncover the profound interplay between motivation, emotion, and cognition that shapes our dream experiences, paving the way for a richer understanding of both lucid dreaming and the human psyche.{{rewrite}}

{{RoundBoxTop|theme=3}}
;Focus questions

{{ic|Use numbered list per Tutorial 02}}

'''1. What are the most effective techniques for facilitating lucid dreaming?'''

'''2. How do these techniques operate on a psychological and neurological level?'''

'''3. What potential benefits and risks are associated with the practice of lucid dreaming?'''
{{RoundBoxBottom}}

== Theoretical framework for understanding lucid dreaming techniques ==
{{expand}}

=== Reality testing ===
{{expand}}

==== Definition and mechanism ====
Reality testing involves the practice of questioning one’s environment to determine whether one is dreaming or awake. According to Aspy et al. (2020), this technique enhances dream awareness and is particularly effective when the dreamer is motivated by a strong desire to achieve lucidity. By consistently engaging in reality checks throughout the day, individuals can increase their chances of recognising the dream state when it occurs at night. This proactive approach not only builds awareness but also reinforces the habit of questioning reality, which is crucial for achieving lucidity in dreams.

==== Psychological theory ====
From a psychological standpoint, reality testing can be understood through the lens of [[wikipedia:Cognitive_behavioral_therapy|Cognitive Behavioural Theory (CBT)]]. CBT posits that our thoughts, feelings, and behaviours are interconnected, and modifying one aspect can lead to changes in the others. Regular reality checks enhance dream awareness, particularly when motivated by a strong desire to become lucid. Emotional events can also serve as significant triggers for reality testing within dreams. As noted by Baird et al. (2019), “Research suggests that this cognitive conditioning fosters a greater likelihood of recognising the dream state.” This implies that by training the mind to question reality consistently, individuals can develop a heightened sense of awareness, facilitating the recognition of dreams as they unfold.

==== Case study ====
A compelling illustration of the effectiveness of reality testing can be found in a case study conducted by Forrer (2014). In this study, an individual engaged in reality testing techniques over several weeks, which included frequent questioning of their surroundings and the use of various reality checks, such as looking at their hands or reading text. This participant reported an increased ability to recognise when they were dreaming, leading to a significant number of lucid dreams. The findings from Forrer’s study highlight the practical application of reality testing and its potential to empower individuals in their journey towards achieving lucidity in dreams.

=== Mnemonic induction of lucid dreams ===
{{expand}}

==== '''Definition and mechanism''' ====
Mnemonic Induction of Lucid Dreams (MILD) is a technique designed to enhance the likelihood of achieving lucidity during dreaming by setting clear intentions before sleep. This method involves the repetition of affirmations, such as &quot;I will realise I am dreaming,&quot; which serves to prime the mind for lucidity (Aspy et al., 2017). The effectiveness of MILD is significantly influenced by the individual's motivation and emotional investment in the process, as these factors contribute to a stronger intention to achieve lucidity{{f}}.

==== '''Psychological theory''' ====
The theoretical foundation for MILD can be understood through the lens of Motivational Theory, particularly Goal-Setting Theory. According to Locke and Latham (2002), specific and challenging goals yield higher performance than vague or easily attainable ones. When individuals set explicit goals, such as the intention to recognise when they are dreaming, they are more likely to achieve those goals{{f}}. This aligns with the MILD technique, which emphasises the importance of clarity and commitment in setting lucid dreaming intentions.

=== Wake-initiated lucid dreams ===
{{expand}}

==== Definition and mechanism ====
Wake-Initiated Lucid Dreams (WILD) is a technique that allows individuals to transition directly from wakefulness into a dream state while maintaining consciousness (Baird et al., 2019). This technique requires a calm emotional state and positive motivation, enabling the dreamer to remain aware as they slip into the dream world.

==== Psychological Theory ====
The concept of WILD aligns with [[wikipedia:Mindfulness|Mindfulness Theory]], which emphasises present-moment awareness and emotional regulation. Practising mindfulness helps individuals maintain awareness of their thoughts and feelings as they enter a dream state, facilitating a seamless transition into lucidity (Baird et al., 2019).

=== Critical analysis of lucid dreaming techniques ===
While techniques such as Reality Testing, Mnemonic Induction of Lucid Dreams (MILD), and Wake-Initiated Lucid Dreams (WILD) present promising avenues for facilitating lucid dreaming, their effectiveness can vary significantly among individuals{{f}}. A key consideration is the reliance on motivation, which may not be equally effective for all, particularly for those struggling with mental health issues like anxiety or depression. Research indicates that such conditions can hinder emotional regulation, making it challenging for affected individuals to engage effectively with techniques that require a positive emotional state (Menefee et al., 2022).

Furthermore, while Reality Testing is a foundational technique in lucid dream facilitation, it may not be sufficient on its own for everyone. Some individuals may find greater success when complemented with strategies like MILD or WILD, which focus on intention-setting and maintaining awareness during the transition into sleep.{{f}} The integration of these methods can potentially enhance the likelihood of achieving lucidity and navigating dream scenarios effectively{{f}}.

The emotional outcomes of lucid dreaming are not universally beneficial. Research by Neuhäusler et al. (2018) suggests that not all individuals experience positive emotional benefits from lucid dreaming; instead, some may encounter anxiety or distress, particularly when faced with challenging dream scenarios. This highlights the necessity of considering individual differences and emotional responses when exploring lucid dreaming techniques.

The implications of these findings suggest that while techniques such as MILD and WILD can be valuable tools for some individuals, there is a need for tailored approaches that consider individual psychological profiles. Practitioners and researchers alike should remain cognisant of these variances and incorporate complementary strategies and supports that can enhance emotional regulation and overall dream experience.

{{robelbox|theme=8|title=Quiz question 1|iconwidth=55px|icon=Search-icon-white-background.png}}  &lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
&lt;quiz display=&quot;simple&quot;&gt;
 Which lucid dreaming induction technique involves questioning the reality of one's environment? 
|type=&quot;()&quot;}
- Wake-initiated lucid dreams (WILD)
- Mnemonic induction of lucid dreams (MILD)
+ Reality testing
&lt;/quiz&gt;
&lt;/div&gt;{{RoundBoxBottom}}

== Motivation in lucid dreaming ==
{{expand}}

=== The importance of motivation in lucid dream success ===
Motivation plays a pivotal role in the success of lucid dreaming techniques. Research indicates that strong motivation significantly increases the likelihood of practising and effectively utilising these techniques (Konkoly &amp; Burke, 2019). Personal goals, such as overcoming nightmares or exploring creativity, often drive this motivation{{f}}. Individuals who set specific intentions for their dream experiences are more likely to engage consistently in practices that lead to lucidity, making motivation a critical factor in the overall process of achieving and maintaining awareness within dreams{{f}}.

For example, a study by Aspy et al. (2020) found that dreamers who were motivated by specific objectives, like problem-solving or self-exploration, reported higher instances of lucid dreams. This demonstrates the importance of aligning personal aspirations with the techniques employed to achieve lucidity, highlighting how motivation can transform the dream experience.

=== Techniques to enhance motivation for lucid dreaming ===
Several strategies can be employed to enhance motivation for lucid dreaming. Keeping a dream journal is one effective method; by documenting dreams and tracking progress, individuals can cultivate a deeper connection to their dream life, which reinforces their motivation to become lucid (Baird et al., 2022). Setting clear goals related to dream experiences further strengthens this motivation. For instance, specific intentions, such as “I want to confront my fears in a dream,” can foster a proactive mindset towards achieving lucidity.

Additionally, visualising the desired outcome before sleep can enhance motivation. This technique, often used in sports psychology, encourages individuals to picture themselves successfully becoming lucid within their dreams. This mental rehearsal not only solidifies their intentions but also primes the mind for the experience of lucidity (Menefee et al., 2022). By employing these strategies, individuals can create a motivating environment conducive to achieving their lucid dreaming goals.

{{robelbox|theme=8|title=Quiz question 2|iconwidth=55px|icon=Search-icon-white-background.png}}  &lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
  &lt;quiz display=&quot;simple&quot;&gt;
 2. What is an example of setting a specific intention to strengthen motivation for lucid dreaming? 
|type=&quot;()&quot;}
- Deciding to sleep longer hours each night.
+ Intending to confront fears within a dream.
- Choosing to ignore nightmares altogether.
&lt;/quiz&gt;
&lt;/div&gt;{{RoundBoxBottom}}

== Emotion in lucid dreaming ==
{{expand}}

=== Emotional triggers for lucid dreams ===
Emotions experienced during the day, particularly intense emotions like fear, excitement, or anxiety, can serve as powerful triggers for becoming lucid in a dream. These emotions often carry over into the dream state, creating unusual or exaggerated emotional experiences that prompt the dreamer to question the reality of the situation, thus enhancing lucidity (Menefee et al., 2022). For example, individuals dealing with anxiety may experience heightened dream awareness when these feelings surface in their dreams, providing an opportunity to become lucid and address underlying issues.

=== The role of emotion in dream awareness ===
Within dreams, the intensity of emotions often plays a critical role in fostering self-awareness. Emotions that feel unusually strong or deviate from the dreamer's normal emotional experiences, such as extreme joy or fear, can serve as cues that they are dreaming (Neuhäusler et al., 2018). These emotionally charged moments create a heightened sense of awareness, prompting the dreamer to recognise the dream state and potentially achieve lucidity. Research has demonstrated that dreamers who frequently experience intense emotions, particularly negative emotions like fear, are more likely to become lucid as they learn to recognise these feelings as dream cues (van Agteren et al., 2021{{ic|This article doesn't refer to dreams}}).

=== Emotion regulation and exploration through lucid dreaming ===
Lucid dreaming provides a valuable space for emotion regulation and exploration. Within the lucid state, individuals have the ability to consciously engage with difficult emotions, such as fear, grief, or anger, in a controlled and safe environment. This allows for emotional processing and, over time, emotional healing. Dreamers can use lucidity to confront emotional challenges, rewrite the narrative of distressing dreams, or even transform nightmares into empowering experiences (Neuhäusler et al., 2018). Studies suggest that this emotional engagement can lead to improved emotional regulation and psychological well-being, especially for those with frequent nightmares or emotional distress (van Agteren et al., 2021).

{{robelbox|theme=8|title=Quiz question 3|iconwidth=55px|icon=Search-icon-white-background.png}}  &lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
&lt;quiz display=&quot;simple&quot;&gt;

What role do emotions intense emotions like fear or anxiety, play in lucid dreaming?
|type=&quot;()&quot;}
- They have no effect on lucid dreaming.
+ They can serve as triggers, prompting the dreamer to question the reality of the dream and become lucid.
- Intense emotions prevent the dreamer from becoming lucid.
&lt;/quiz&gt;
&lt;/div&gt;
{{RoundBoxBottom}}

== Psychological and neurological mechanisms ==
{{expand}}

=== Rapid eye movement sleep and lucid dreaming ===
Lucid dreaming typically occurs during rapid eye movement (REM) sleep, a stage when brain activity closely resembles that of waking consciousness. During REM sleep, vivid dreams are common, and the brain's heightened activity provides an optimal environment for lucidity (Baird et al., 2019). This period of sleep is marked by increased neural activity in regions involved in cognition and sensory processing, making it possible for the dreamer to recognise the dream state{{f}}.

=== Memory and awareness in lucid dreaming ===
The ability to become aware of and control dreams relies heavily on memory and self-awareness{{f}}. Memory recall, especially related to recent events, can serve as a trigger for recognising that one is dreaming.{{f}} Awareness of the incongruities in the dream environment further facilitates lucidity{{f}}. Lucid dreamers often demonstrate heightened metacognitive awareness—an understanding of their own thinking processes—which allows them to distinguish between dreaming and waking states (Baird et al., 2019; Voss et al., 2009).

=== Brain regions involved in lucid dreaming ===
Studies have shown that certain brain regions, particularly the prefrontal cortex, exhibit heightened activity during lucid dreaming{{f}}. The prefrontal cortex is responsible for higher-order cognitive functions, including decision-making, self-reflection, and awareness—skills that are essential for recognising and manipulating the dream state (Dresler et al., 2015). Additionally, the parietal lobe and temporo-parietal junction, which are involved in spatial awareness and self-representation, also show increased activity during lucid dreams, facilitating the dreamer's sense of control (Baird et al., 2019).

{{robelbox|theme=8|title=Quiz question 4|iconwidth=55px|icon=Search-icon-white-background.png}}  &lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
&lt;quiz display=&quot;simple&quot;&gt;
Which brain region is primarily responsible for the heightened awareness and decision-making necessary for lucid dreaming?
|type=&quot;()&quot;}
+ The prefrontal cortex
- The brainstem
- The cerebellum
&lt;/quiz&gt;
&lt;/div&gt;{{RoundBoxBottom}}

==Conclusion==
Lucid dreaming presents a fascinating intersection of psychology, motivation, and emotion, offering individuals a unique opportunity to explore their inner worlds while awake in their dreams. The key points outlined throughout this chapter illustrate the significance of understanding lucid dreaming techniques, such as reality testing, mnemonic induction of lucid dreams (MILD), and wake-initiated lucid dreams (WILD). Each of these techniques leverages psychological theories—like Goal-Setting Theory and Mindfulness Theory—demonstrating how motivation and emotional awareness play pivotal roles in achieving lucidity.

The exploration of focus questions reveals that while techniques can enhance the likelihood of experiencing lucid dreams, their effectiveness may vary based on individual emotional states and motivations. For instance, personal goals, such as overcoming nightmares or fostering creativity, can greatly influence one's success in achieving lucidity (Konkoly &amp; Burke, 2019). Conversely, challenges like anxiety and depression may hinder emotional regulation, potentially complicating the lucid dreaming experience (Menefee et al., 2022).

By engaging with our dreams, we can confront and process difficult emotions, ultimately leading to a deeper understanding of ourselves. As illustrated in the thought experiment at the beginning of this chapter, the power of lucid dreaming allows us not only to manipulate our dream environments but also to navigate our emotional landscapes.

As we move forward, embracing the techniques for achieving lucid dreaming can empower individuals to harness the full potential of their dreaming experiences, transforming nightmares into opportunities for resilience and creativity. Ultimately, lucid dreaming invites us to explore the vast expanse of our consciousness, bridging the gap between our waking and dreaming selves.

== See also ==
* [[wikipedia:Lucid_dream|Lucid Dream (Wikipedia)]]
* [[Motivation and emotion/Book/2014/Dreams and emotion|Dreams and Emotion (Book chapter, 2014)]]

==References==
{{Hanging indent|1=

Aspy, D. J. (2020). Findings from the international lucid dream induction study. Frontiers in Psychology, 11. https://doi.org/10.3389/fpsyg.2020.01746

Baird, B., Mota-Rolim, S. A., &amp; Dresler, M. (2019). The cognitive neuroscience of lucid dreaming. Neuroscience &amp; Biobehavioral Reviews, 100, 305–323. https://doi.org/10.1016/j.neubiorev.2019.03.008

Dresler, M., Wehrle, R., Spoormaker, V. I., Steiger, A., Holsboer, F., Czisch, M., &amp; Hobson, J. A. (2015). Neural correlates of insight in dreaming and psychosis. Sleep Medicine Reviews, 20, 92–99. https://doi.org/10.1016/j.smrv.2014.06.004

Forrer, K. (2014). “To test or not to test, that is the question” - is there a way of verifying the validity of the interpretation of our dreams?. International Journal of Dream Research, 7(2), 153–169. https://doi.org/10.11588/ijodr.2014.2.15033

Konkoly, K., &amp; Burke, C. T. (2019). Can learning to lucid dream promote personal growth? Dreaming, 29(2). https://doi.org/10.1037/drm0000101

Locke, E. A., &amp; Latham, G. P. (2002). Building a practically useful theory of goal setting and task motivation: A 35-year odyssey. American Psychologist, 57(9), 705–717.

Menefee, D. S., Ledoux, T., Johnston, C. A., &amp; DeBakey, M. E. (2022). The importance of emotional regulation in mental health. American Journal of Lifestyle Medicine, 16(1), 28–31. https://doi.org/10.1177/15598276211049771

Neuhäusler, A., Schredl, M., &amp; Göritz, A. S. (2018). General knowledge about lucid dreaming and lucid dream induction techniques: An online study. International Journal of Dream Research, 179–185. https://doi.org/10.11588/ijodr.2018.2.50491

van Agteren, J., Iasiello, M., Lo, L., Bartholomaeus, J., Kopsaftis, Z., Carey, M., &amp; Kyrios, M. (2021). A systematic review and meta-analysis of psychological interventions to improve mental wellbeing. Nature Human Behaviour, 5(5), 631–652. https://doi.org/10.1038/s41562-021-01093-w

Voss, U., Holzmann, R., Tuin, I., &amp; Hobson, A. J. (2009). Lucid dreaming: A state of consciousness with features of both waking and non-lucid dreaming. Sleep, 32(9), 1191–1200. https://doi.org/10.1093/sleep/32.9.1191

}}

== External links ==
* [https://www.sleepfoundation.org/dreams/lucid-dreams How to Lucid Dream: Expert Tips and Tricks]

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      <text bytes="21051" sha1="1vs8bawkxfkgp8y8b0zbngpz4fxbxr0" xml:space="preserve">{{title|Lucid dream facilitation:&lt;br&gt;What techniques can facilitate lucid dreaming?}}
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__TOC__

==Overview==
{{RoundBoxTop|theme=3}}
[[File:Letargo.jpg|right|1750px]]
;Scenario

Imagine waking up in the middle of a dream, fully aware that you are dreaming and can control your actions and the dream environment.

{{expand}}
 
{{RoundBoxBottom}}

This experience of [[wikipedia:Lucid_dream|lucid dreaming]]is a phenomenon that has intrigued and inspired individuals across cultures for centuries. Whether it is to explore creativity, confront fears, or enhance personal growth, pursuing lucidity during sleep presents an array of possibilities{{g}}. Figure 1 shows an AI generated Image of &quot;the Brain During Lucid Dreaming&quot;.'''What is Lucid Dreaming?''' 

Lucid dreaming occurs primarily during [[wikipedia:Rapid_eye_movement_sleep|rapid eye movement (REM) sleep]], a phase when the brain exhibits activity levels similar to those in waking consciousness (Baird et al., 2019). Understanding the significance of dream awareness is crucial, as it opens the door to various techniques that can enhance the likelihood of achieving lucidity. These techniques include [[wikipedia:Reality_testing|reality testing]], mnemonic induction of lucid dreams (MILD), and wake-initiated lucid dreams (WILD), each employing different psychological and neurological mechanisms.

The exploration of lucid dreaming extends beyond mere curiosity; it touches on deeper psychological realms, offering a pathway for personal development and emotional healing. As we delve into the intricacies of this phenomenon, we will uncover the profound interplay between motivation, emotion, and cognition that shapes our dream experiences, paving the way for a richer understanding of both lucid dreaming and the human psyche.{{rewrite}}

{{RoundBoxTop|theme=3}}
;Focus questions

{{ic|Use numbered list per Tutorial 02}}

'''1. What are the most effective techniques for facilitating lucid dreaming?'''

'''2. How do these techniques operate on a psychological and neurological level?'''

'''3. What potential benefits and risks are associated with the practice of lucid dreaming?'''
{{RoundBoxBottom}}

== Theoretical framework for understanding lucid dreaming techniques ==
{{expand}}

=== Reality testing ===
{{expand}}

==== Definition and mechanism ====
Reality testing involves the practice of questioning one’s environment to determine whether one is dreaming or awake. According to Aspy et al. (2020), this technique enhances dream awareness and is particularly effective when the dreamer is motivated by a strong desire to achieve lucidity. By consistently engaging in reality checks throughout the day, individuals can increase their chances of recognising the dream state when it occurs at night. This proactive approach not only builds awareness but also reinforces the habit of questioning reality, which is crucial for achieving lucidity in dreams.

==== Psychological theory ====
From a psychological standpoint, reality testing can be understood through the lens of [[wikipedia:Cognitive_behavioral_therapy|Cognitive Behavioural Theory (CBT)]]. CBT posits that our thoughts, feelings, and behaviours are interconnected, and modifying one aspect can lead to changes in the others. Regular reality checks enhance dream awareness, particularly when motivated by a strong desire to become lucid. Emotional events can also serve as significant triggers for reality testing within dreams. As noted by Baird et al. (2019), “Research suggests that this cognitive conditioning fosters a greater likelihood of recognising the dream state.” This implies that by training the mind to question reality consistently, individuals can develop a heightened sense of awareness, facilitating the recognition of dreams as they unfold.

==== Case study ====
A compelling illustration of the effectiveness of reality testing can be found in a case study conducted by Forrer (2014). In this study, an individual engaged in reality testing techniques over several weeks, which included frequent questioning of their surroundings and the use of various reality checks, such as looking at their hands or reading text. This participant reported an increased ability to recognise when they were dreaming, leading to a significant number of lucid dreams. The findings from Forrer’s study highlight the practical application of reality testing and its potential to empower individuals in their journey towards achieving lucidity in dreams.

=== Mnemonic induction of lucid dreams ===
{{expand}}

==== '''Definition and mechanism''' ====
Mnemonic Induction of Lucid Dreams (MILD) is a technique designed to enhance the likelihood of achieving lucidity during dreaming by setting clear intentions before sleep. This method involves the repetition of affirmations, such as &quot;I will realise I am dreaming,&quot; which serves to prime the mind for lucidity (Aspy et al., 2017). The effectiveness of MILD is significantly influenced by the individual's motivation and emotional investment in the process, as these factors contribute to a stronger intention to achieve lucidity{{f}}.

==== '''Psychological theory''' ====
The theoretical foundation for MILD can be understood through the lens of Motivational Theory, particularly Goal-Setting Theory. According to Locke and Latham (2002), specific and challenging goals yield higher performance than vague or easily attainable ones. When individuals set explicit goals, such as the intention to recognise when they are dreaming, they are more likely to achieve those goals{{f}}. This aligns with the MILD technique, which emphasises the importance of clarity and commitment in setting lucid dreaming intentions.

=== Wake-initiated lucid dreams ===
{{expand}}

==== Definition and mechanism ====
Wake-Initiated Lucid Dreams (WILD) is a technique that allows individuals to transition directly from wakefulness into a dream state while maintaining consciousness (Baird et al., 2019). This technique requires a calm emotional state and positive motivation, enabling the dreamer to remain aware as they slip into the dream world.

==== Psychological Theory ====
The concept of WILD aligns with [[wikipedia:Mindfulness|Mindfulness Theory]], which emphasises present-moment awareness and emotional regulation. Practising mindfulness helps individuals maintain awareness of their thoughts and feelings as they enter a dream state, facilitating a seamless transition into lucidity (Baird et al., 2019).

=== Critical analysis of lucid dreaming techniques ===
While techniques such as Reality Testing, Mnemonic Induction of Lucid Dreams (MILD), and Wake-Initiated Lucid Dreams (WILD) present promising avenues for facilitating lucid dreaming, their effectiveness can vary significantly among individuals{{f}}. A key consideration is the reliance on motivation, which may not be equally effective for all, particularly for those struggling with mental health issues like anxiety or depression. Research indicates that such conditions can hinder emotional regulation, making it challenging for affected individuals to engage effectively with techniques that require a positive emotional state (Menefee et al., 2022).

Furthermore, while Reality Testing is a foundational technique in lucid dream facilitation, it may not be sufficient on its own for everyone. Some individuals may find greater success when complemented with strategies like MILD or WILD, which focus on intention-setting and maintaining awareness during the transition into sleep.{{f}} The integration of these methods can potentially enhance the likelihood of achieving lucidity and navigating dream scenarios effectively{{f}}.

The emotional outcomes of lucid dreaming are not universally beneficial. Research by Neuhäusler et al. (2018) suggests that not all individuals experience positive emotional benefits from lucid dreaming; instead, some may encounter anxiety or distress, particularly when faced with challenging dream scenarios. This highlights the necessity of considering individual differences and emotional responses when exploring lucid dreaming techniques.

The implications of these findings suggest that while techniques such as MILD and WILD can be valuable tools for some individuals, there is a need for tailored approaches that consider individual psychological profiles. Practitioners and researchers alike should remain cognisant of these variances and incorporate complementary strategies and supports that can enhance emotional regulation and overall dream experience.

{{robelbox|theme=8|title=Quiz question 1|iconwidth=55px|icon=Search-icon-white-background.png}}  &lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
&lt;quiz display=&quot;simple&quot;&gt;
 Which lucid dreaming induction technique involves questioning the reality of one's environment? 
|type=&quot;()&quot;}
- Wake-initiated lucid dreams (WILD)
- Mnemonic induction of lucid dreams (MILD)
+ Reality testing
&lt;/quiz&gt;
&lt;/div&gt;{{RoundBoxBottom}}

== Motivation in lucid dreaming ==
{{expand}}

=== The importance of motivation in lucid dream success ===
Motivation plays a pivotal role in the success of lucid dreaming techniques. Research indicates that strong motivation significantly increases the likelihood of practising and effectively utilising these techniques (Konkoly &amp; Burke, 2019). Personal goals, such as overcoming nightmares or exploring creativity, often drive this motivation{{f}}. Individuals who set specific intentions for their dream experiences are more likely to engage consistently in practices that lead to lucidity, making motivation a critical factor in the overall process of achieving and maintaining awareness within dreams{{f}}.

For example, a study by Aspy et al. (2020) found that dreamers who were motivated by specific objectives, like problem-solving or self-exploration, reported higher instances of lucid dreams. This demonstrates the importance of aligning personal aspirations with the techniques employed to achieve lucidity, highlighting how motivation can transform the dream experience.

=== Techniques to enhance motivation for lucid dreaming ===
Several strategies can be employed to enhance motivation for lucid dreaming. Keeping a dream journal is one effective method; by documenting dreams and tracking progress, individuals can cultivate a deeper connection to their dream life, which reinforces their motivation to become lucid (Baird et al., 2022). Setting clear goals related to dream experiences further strengthens this motivation. For instance, specific intentions, such as “I want to confront my fears in a dream,” can foster a proactive mindset towards achieving lucidity.

Additionally, visualising the desired outcome before sleep can enhance motivation. This technique, often used in sports psychology, encourages individuals to picture themselves successfully becoming lucid within their dreams. This mental rehearsal not only solidifies their intentions but also primes the mind for the experience of lucidity (Menefee et al., 2022). By employing these strategies, individuals can create a motivating environment conducive to achieving their lucid dreaming goals.

{{robelbox|theme=8|title=Quiz question 2|iconwidth=55px|icon=Search-icon-white-background.png}}  &lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
  &lt;quiz display=&quot;simple&quot;&gt;
 2. What is an example of setting a specific intention to strengthen motivation for lucid dreaming? 
|type=&quot;()&quot;}
- Deciding to sleep longer hours each night.
+ Intending to confront fears within a dream.
- Choosing to ignore nightmares altogether.
&lt;/quiz&gt;
&lt;/div&gt;{{RoundBoxBottom}}

== Emotion in lucid dreaming ==
{{expand}}

=== Emotional triggers for lucid dreams ===
Emotions experienced during the day, particularly intense emotions like fear, excitement, or anxiety, can serve as powerful triggers for becoming lucid in a dream. These emotions often carry over into the dream state, creating unusual or exaggerated emotional experiences that prompt the dreamer to question the reality of the situation, thus enhancing lucidity (Menefee et al., 2022). For example, individuals dealing with anxiety may experience heightened dream awareness when these feelings surface in their dreams, providing an opportunity to become lucid and address underlying issues.

=== The role of emotion in dream awareness ===
Within dreams, the intensity of emotions often plays a critical role in fostering self-awareness. Emotions that feel unusually strong or deviate from the dreamer's normal emotional experiences, such as extreme joy or fear, can serve as cues that they are dreaming (Neuhäusler et al., 2018). These emotionally charged moments create a heightened sense of awareness, prompting the dreamer to recognise the dream state and potentially achieve lucidity. Research has demonstrated that dreamers who frequently experience intense emotions, particularly negative emotions like fear, are more likely to become lucid as they learn to recognise these feelings as dream cues (van Agteren et al., 2021{{ic|This article doesn't refer to dreams}}).

=== Emotion regulation and exploration through lucid dreaming ===
Lucid dreaming provides a valuable space for emotion regulation and exploration. Within the lucid state, individuals have the ability to consciously engage with difficult emotions, such as fear, grief, or anger, in a controlled and safe environment. This allows for emotional processing and, over time, emotional healing. Dreamers can use lucidity to confront emotional challenges, rewrite the narrative of distressing dreams, or even transform nightmares into empowering experiences (Neuhäusler et al., 2018). Studies suggest that this emotional engagement can lead to improved emotional regulation and psychological well-being, especially for those with frequent nightmares or emotional distress (van Agteren et al., 2021).

{{robelbox|theme=8|title=Quiz question 3|iconwidth=55px|icon=Search-icon-white-background.png}}  &lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
&lt;quiz display=&quot;simple&quot;&gt;

What role do emotions intense emotions like fear or anxiety, play in lucid dreaming?
|type=&quot;()&quot;}
- They have no effect on lucid dreaming.
+ They can serve as triggers, prompting the dreamer to question the reality of the dream and become lucid.
- Intense emotions prevent the dreamer from becoming lucid.
&lt;/quiz&gt;
&lt;/div&gt;
{{RoundBoxBottom}}

== Psychological and neurological mechanisms ==
{{expand}}

=== Rapid eye movement sleep and lucid dreaming ===
Lucid dreaming typically occurs during rapid eye movement (REM) sleep, a stage when brain activity closely resembles that of waking consciousness. During REM sleep, vivid dreams are common, and the brain's heightened activity provides an optimal environment for lucidity (Baird et al., 2019). This period of sleep is marked by increased neural activity in regions involved in cognition and sensory processing, making it possible for the dreamer to recognise the dream state{{f}}.

=== Memory and awareness in lucid dreaming ===
The ability to become aware of and control dreams relies heavily on memory and self-awareness{{f}}. Memory recall, especially related to recent events, can serve as a trigger for recognising that one is dreaming.{{f}} Awareness of the incongruities in the dream environment further facilitates lucidity{{f}}. Lucid dreamers often demonstrate heightened metacognitive awareness—an understanding of their own thinking processes—which allows them to distinguish between dreaming and waking states (Baird et al., 2019; Voss et al., 2009).

=== Brain regions involved in lucid dreaming ===
Studies have shown that certain brain regions, particularly the prefrontal cortex, exhibit heightened activity during lucid dreaming{{f}}. The prefrontal cortex is responsible for higher-order cognitive functions, including decision-making, self-reflection, and awareness—skills that are essential for recognising and manipulating the dream state (Dresler et al., 2015). Additionally, the parietal lobe and temporo-parietal junction, which are involved in spatial awareness and self-representation, also show increased activity during lucid dreams, facilitating the dreamer's sense of control (Baird et al., 2019).

{{robelbox|theme=8|title=Quiz question 4|iconwidth=55px|icon=Search-icon-white-background.png}}  &lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
&lt;quiz display=&quot;simple&quot;&gt;
Which brain region is primarily responsible for the heightened awareness and decision-making necessary for lucid dreaming?
|type=&quot;()&quot;}
+ The prefrontal cortex
- The brainstem
- The cerebellum
&lt;/quiz&gt;
&lt;/div&gt;{{RoundBoxBottom}}

==Conclusion==
Lucid dreaming presents a fascinating intersection of psychology, motivation, and emotion, offering individuals a unique opportunity to explore their inner worlds while awake in their dreams. The key points outlined throughout this chapter illustrate the significance of understanding lucid dreaming techniques, such as reality testing, mnemonic induction of lucid dreams (MILD), and wake-initiated lucid dreams (WILD). Each of these techniques leverages psychological theories—like Goal-Setting Theory and Mindfulness Theory—demonstrating how motivation and emotional awareness play pivotal roles in achieving lucidity.

The exploration of focus questions reveals that while techniques can enhance the likelihood of experiencing lucid dreams, their effectiveness may vary based on individual emotional states and motivations. For instance, personal goals, such as overcoming nightmares or fostering creativity, can greatly influence one's success in achieving lucidity (Konkoly &amp; Burke, 2019). Conversely, challenges like anxiety and depression may hinder emotional regulation, potentially complicating the lucid dreaming experience (Menefee et al., 2022).

By engaging with our dreams, we can confront and process difficult emotions, ultimately leading to a deeper understanding of ourselves. As illustrated in the thought experiment at the beginning of this chapter, the power of lucid dreaming allows us not only to manipulate our dream environments but also to navigate our emotional landscapes.

As we move forward, embracing the techniques for achieving lucid dreaming can empower individuals to harness the full potential of their dreaming experiences, transforming nightmares into opportunities for resilience and creativity. Ultimately, lucid dreaming invites us to explore the vast expanse of our consciousness, bridging the gap between our waking and dreaming selves.

== See also ==
* [[wikipedia:Lucid_dream|Lucid Dream (Wikipedia)]]
* [[Motivation and emotion/Book/2014/Dreams and emotion|Dreams and Emotion (Book chapter, 2014)]]

==References==
{{Hanging indent|1=

Aspy, D. J. (2020). Findings from the international lucid dream induction study. Frontiers in Psychology, 11. https://doi.org/10.3389/fpsyg.2020.01746

Baird, B., Mota-Rolim, S. A., &amp; Dresler, M. (2019). The cognitive neuroscience of lucid dreaming. Neuroscience &amp; Biobehavioral Reviews, 100, 305–323. https://doi.org/10.1016/j.neubiorev.2019.03.008

Dresler, M., Wehrle, R., Spoormaker, V. I., Steiger, A., Holsboer, F., Czisch, M., &amp; Hobson, J. A. (2015). Neural correlates of insight in dreaming and psychosis. Sleep Medicine Reviews, 20, 92–99. https://doi.org/10.1016/j.smrv.2014.06.004

Forrer, K. (2014). “To test or not to test, that is the question” - is there a way of verifying the validity of the interpretation of our dreams?. International Journal of Dream Research, 7(2), 153–169. https://doi.org/10.11588/ijodr.2014.2.15033

Konkoly, K., &amp; Burke, C. T. (2019). Can learning to lucid dream promote personal growth? Dreaming, 29(2). https://doi.org/10.1037/drm0000101

Locke, E. A., &amp; Latham, G. P. (2002). Building a practically useful theory of goal setting and task motivation: A 35-year odyssey. American Psychologist, 57(9), 705–717.

Menefee, D. S., Ledoux, T., Johnston, C. A., &amp; DeBakey, M. E. (2022). The importance of emotional regulation in mental health. American Journal of Lifestyle Medicine, 16(1), 28–31. https://doi.org/10.1177/15598276211049771

Neuhäusler, A., Schredl, M., &amp; Göritz, A. S. (2018). General knowledge about lucid dreaming and lucid dream induction techniques: An online study. International Journal of Dream Research, 179–185. https://doi.org/10.11588/ijodr.2018.2.50491

van Agteren, J., Iasiello, M., Lo, L., Bartholomaeus, J., Kopsaftis, Z., Carey, M., &amp; Kyrios, M. (2021). A systematic review and meta-analysis of psychological interventions to improve mental wellbeing. Nature Human Behaviour, 5(5), 631–652. https://doi.org/10.1038/s41562-021-01093-w

Voss, U., Holzmann, R., Tuin, I., &amp; Hobson, A. J. (2009). Lucid dreaming: A state of consciousness with features of both waking and non-lucid dreaming. Sleep, 32(9), 1191–1200. https://doi.org/10.1093/sleep/32.9.1191

}}

== External links ==
* [https://www.sleepfoundation.org/dreams/lucid-dreams How to Lucid Dream: Expert Tips and Tricks]

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__TOC__

==Overview==
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;Scenario

Imagine waking up in the middle of a dream, fully aware that you are dreaming and can control your actions and the dream environment.

{{expand}}
 
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This experience of [[wikipedia:Lucid_dream|lucid dreaming]]is a phenomenon that has intrigued and inspired individuals across cultures for centuries. Whether it is to explore creativity, confront fears, or enhance personal growth, pursuing lucidity during sleep presents an array of possibilities{{g}}. Figure 1 shows an AI generated Image of &quot;the Brain During Lucid Dreaming&quot;.'''What is Lucid Dreaming?''' 

Lucid dreaming occurs primarily during [[wikipedia:Rapid_eye_movement_sleep|rapid eye movement (REM) sleep]], a phase when the brain exhibits activity levels similar to those in waking consciousness (Baird et al., 2019). Understanding the significance of dream awareness is crucial, as it opens the door to various techniques that can enhance the likelihood of achieving lucidity. These techniques include [[wikipedia:Reality_testing|reality testing]], mnemonic induction of lucid dreams (MILD), and wake-initiated lucid dreams (WILD), each employing different psychological and neurological mechanisms.

The exploration of lucid dreaming extends beyond mere curiosity; it touches on deeper psychological realms, offering a pathway for personal development and emotional healing. As we delve into the intricacies of this phenomenon, we will uncover the profound interplay between motivation, emotion, and cognition that shapes our dream experiences, paving the way for a richer understanding of both lucid dreaming and the human psyche.{{rewrite}}

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;Focus questions

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'''1. What are the most effective techniques for facilitating lucid dreaming?'''

'''2. How do these techniques operate on a psychological and neurological level?'''

'''3. What potential benefits and risks are associated with the practice of lucid dreaming?'''
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== Theoretical framework for understanding lucid dreaming techniques ==
{{expand}}

=== Reality testing ===
{{expand}}

==== Definition and mechanism ====
Reality testing involves the practice of questioning one’s environment to determine whether one is dreaming or awake. According to Aspy et al. (2020), this technique enhances dream awareness and is particularly effective when the dreamer is motivated by a strong desire to achieve lucidity. By consistently engaging in reality checks throughout the day, individuals can increase their chances of recognising the dream state when it occurs at night. This proactive approach not only builds awareness but also reinforces the habit of questioning reality, which is crucial for achieving lucidity in dreams.

==== Psychological theory ====
From a psychological standpoint, reality testing can be understood through the lens of [[wikipedia:Cognitive_behavioral_therapy|Cognitive Behavioural Theory (CBT)]]. CBT posits that our thoughts, feelings, and behaviours are interconnected, and modifying one aspect can lead to changes in the others. Regular reality checks enhance dream awareness, particularly when motivated by a strong desire to become lucid. Emotional events can also serve as significant triggers for reality testing within dreams. As noted by Baird et al. (2019), “Research suggests that this cognitive conditioning fosters a greater likelihood of recognising the dream state.” This implies that by training the mind to question reality consistently, individuals can develop a heightened sense of awareness, facilitating the recognition of dreams as they unfold.

==== Case study ====
A compelling illustration of the effectiveness of reality testing can be found in a case study conducted by Forrer (2014). In this study, an individual engaged in reality testing techniques over several weeks, which included frequent questioning of their surroundings and the use of various reality checks, such as looking at their hands or reading text. This participant reported an increased ability to recognise when they were dreaming, leading to a significant number of lucid dreams. The findings from Forrer’s study highlight the practical application of reality testing and its potential to empower individuals in their journey towards achieving lucidity in dreams.

=== Mnemonic induction of lucid dreams ===
{{expand}}

==== '''Definition and mechanism''' ====
Mnemonic Induction of Lucid Dreams (MILD) is a technique designed to enhance the likelihood of achieving lucidity during dreaming by setting clear intentions before sleep. This method involves the repetition of affirmations, such as &quot;I will realise I am dreaming,&quot; which serves to prime the mind for lucidity (Aspy et al., 2017). The effectiveness of MILD is significantly influenced by the individual's motivation and emotional investment in the process, as these factors contribute to a stronger intention to achieve lucidity{{f}}.

==== '''Psychological theory''' ====
The theoretical foundation for MILD can be understood through the lens of Motivational Theory, particularly Goal-Setting Theory. According to Locke and Latham (2002), specific and challenging goals yield higher performance than vague or easily attainable ones. When individuals set explicit goals, such as the intention to recognise when they are dreaming, they are more likely to achieve those goals{{f}}. This aligns with the MILD technique, which emphasises the importance of clarity and commitment in setting lucid dreaming intentions.

=== Wake-initiated lucid dreams ===
{{expand}}

==== Definition and mechanism ====
Wake-Initiated Lucid Dreams (WILD) is a technique that allows individuals to transition directly from wakefulness into a dream state while maintaining consciousness (Baird et al., 2019). This technique requires a calm emotional state and positive motivation, enabling the dreamer to remain aware as they slip into the dream world.

==== Psychological Theory ====
The concept of WILD aligns with [[wikipedia:Mindfulness|Mindfulness Theory]], which emphasises present-moment awareness and emotional regulation. Practising mindfulness helps individuals maintain awareness of their thoughts and feelings as they enter a dream state, facilitating a seamless transition into lucidity (Baird et al., 2019).

=== Critical analysis of lucid dreaming techniques ===
While techniques such as Reality Testing, Mnemonic Induction of Lucid Dreams (MILD), and Wake-Initiated Lucid Dreams (WILD) present promising avenues for facilitating lucid dreaming, their effectiveness can vary significantly among individuals{{f}}. A key consideration is the reliance on motivation, which may not be equally effective for all, particularly for those struggling with mental health issues like anxiety or depression. Research indicates that such conditions can hinder emotional regulation, making it challenging for affected individuals to engage effectively with techniques that require a positive emotional state (Menefee et al., 2022).

Furthermore, while Reality Testing is a foundational technique in lucid dream facilitation, it may not be sufficient on its own for everyone. Some individuals may find greater success when complemented with strategies like MILD or WILD, which focus on intention-setting and maintaining awareness during the transition into sleep.{{f}} The integration of these methods can potentially enhance the likelihood of achieving lucidity and navigating dream scenarios effectively{{f}}.

The emotional outcomes of lucid dreaming are not universally beneficial. Research by Neuhäusler et al. (2018) suggests that not all individuals experience positive emotional benefits from lucid dreaming; instead, some may encounter anxiety or distress, particularly when faced with challenging dream scenarios. This highlights the necessity of considering individual differences and emotional responses when exploring lucid dreaming techniques.

The implications of these findings suggest that while techniques such as MILD and WILD can be valuable tools for some individuals, there is a need for tailored approaches that consider individual psychological profiles. Practitioners and researchers alike should remain cognisant of these variances and incorporate complementary strategies and supports that can enhance emotional regulation and overall dream experience.

{{robelbox|theme=8|title=Quiz question 1|iconwidth=55px|icon=Search-icon-white-background.png}}  &lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
&lt;quiz display=&quot;simple&quot;&gt;
 Which lucid dreaming induction technique involves questioning the reality of one's environment? 
|type=&quot;()&quot;}
- Wake-initiated lucid dreams (WILD)
- Mnemonic induction of lucid dreams (MILD)
+ Reality testing
&lt;/quiz&gt;
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== Motivation in lucid dreaming ==
{{expand}}

=== The importance of motivation in lucid dream success ===
Motivation plays a pivotal role in the success of lucid dreaming techniques. Research indicates that strong motivation significantly increases the likelihood of practising and effectively utilising these techniques (Konkoly &amp; Burke, 2019). Personal goals, such as overcoming nightmares or exploring creativity, often drive this motivation{{f}}. Individuals who set specific intentions for their dream experiences are more likely to engage consistently in practices that lead to lucidity, making motivation a critical factor in the overall process of achieving and maintaining awareness within dreams{{f}}.

For example, a study by Aspy et al. (2020) found that dreamers who were motivated by specific objectives, like problem-solving or self-exploration, reported higher instances of lucid dreams. This demonstrates the importance of aligning personal aspirations with the techniques employed to achieve lucidity, highlighting how motivation can transform the dream experience.

=== Techniques to enhance motivation for lucid dreaming ===
Several strategies can be employed to enhance motivation for lucid dreaming. Keeping a dream journal is one effective method; by documenting dreams and tracking progress, individuals can cultivate a deeper connection to their dream life, which reinforces their motivation to become lucid (Baird et al., 2022). Setting clear goals related to dream experiences further strengthens this motivation. For instance, specific intentions, such as “I want to confront my fears in a dream,” can foster a proactive mindset towards achieving lucidity.

Additionally, visualising the desired outcome before sleep can enhance motivation. This technique, often used in sports psychology, encourages individuals to picture themselves successfully becoming lucid within their dreams. This mental rehearsal not only solidifies their intentions but also primes the mind for the experience of lucidity (Menefee et al., 2022). By employing these strategies, individuals can create a motivating environment conducive to achieving their lucid dreaming goals.

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 2. What is an example of setting a specific intention to strengthen motivation for lucid dreaming? 
|type=&quot;()&quot;}
- Deciding to sleep longer hours each night.
+ Intending to confront fears within a dream.
- Choosing to ignore nightmares altogether.
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== Emotion in lucid dreaming ==
{{expand}}

=== Emotional triggers for lucid dreams ===
Emotions experienced during the day, particularly intense emotions like fear, excitement, or anxiety, can serve as powerful triggers for becoming lucid in a dream. These emotions often carry over into the dream state, creating unusual or exaggerated emotional experiences that prompt the dreamer to question the reality of the situation, thus enhancing lucidity (Menefee et al., 2022). For example, individuals dealing with anxiety may experience heightened dream awareness when these feelings surface in their dreams, providing an opportunity to become lucid and address underlying issues.

=== The role of emotion in dream awareness ===
Within dreams, the intensity of emotions often plays a critical role in fostering self-awareness. Emotions that feel unusually strong or deviate from the dreamer's normal emotional experiences, such as extreme joy or fear, can serve as cues that they are dreaming (Neuhäusler et al., 2018). These emotionally charged moments create a heightened sense of awareness, prompting the dreamer to recognise the dream state and potentially achieve lucidity. Research has demonstrated that dreamers who frequently experience intense emotions, particularly negative emotions like fear, are more likely to become lucid as they learn to recognise these feelings as dream cues (van Agteren et al., 2021{{ic|This article doesn't refer to dreams}}).

=== Emotion regulation and exploration through lucid dreaming ===
Lucid dreaming provides a valuable space for emotion regulation and exploration. Within the lucid state, individuals have the ability to consciously engage with difficult emotions, such as fear, grief, or anger, in a controlled and safe environment. This allows for emotional processing and, over time, emotional healing. Dreamers can use lucidity to confront emotional challenges, rewrite the narrative of distressing dreams, or even transform nightmares into empowering experiences (Neuhäusler et al., 2018). Studies suggest that this emotional engagement can lead to improved emotional regulation and psychological well-being, especially for those with frequent nightmares or emotional distress (van Agteren et al., 2021).

{{robelbox|theme=8|title=Quiz question 3|iconwidth=55px|icon=Search-icon-white-background.png}}  &lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
&lt;quiz display=&quot;simple&quot;&gt;

What role do emotions intense emotions like fear or anxiety, play in lucid dreaming?
|type=&quot;()&quot;}
- They have no effect on lucid dreaming.
+ They can serve as triggers, prompting the dreamer to question the reality of the dream and become lucid.
- Intense emotions prevent the dreamer from becoming lucid.
&lt;/quiz&gt;
&lt;/div&gt;
{{RoundBoxBottom}}

== Psychological and neurological mechanisms ==
{{expand}}

=== Rapid eye movement sleep and lucid dreaming ===
Lucid dreaming typically occurs during rapid eye movement (REM) sleep, a stage when brain activity closely resembles that of waking consciousness. During REM sleep, vivid dreams are common, and the brain's heightened activity provides an optimal environment for lucidity (Baird et al., 2019). This period of sleep is marked by increased neural activity in regions involved in cognition and sensory processing, making it possible for the dreamer to recognise the dream state{{f}}.

=== Memory and awareness in lucid dreaming ===
The ability to become aware of and control dreams relies heavily on memory and self-awareness{{f}}. Memory recall, especially related to recent events, can serve as a trigger for recognising that one is dreaming.{{f}} Awareness of the incongruities in the dream environment further facilitates lucidity{{f}}. Lucid dreamers often demonstrate heightened metacognitive awareness—an understanding of their own thinking processes—which allows them to distinguish between dreaming and waking states (Baird et al., 2019; Voss et al., 2009).

=== Brain regions involved in lucid dreaming ===
Studies have shown that certain brain regions, particularly the prefrontal cortex, exhibit heightened activity during lucid dreaming{{f}}. The prefrontal cortex is responsible for higher-order cognitive functions, including decision-making, self-reflection, and awareness—skills that are essential for recognising and manipulating the dream state (Dresler et al., 2015). Additionally, the parietal lobe and temporo-parietal junction, which are involved in spatial awareness and self-representation, also show increased activity during lucid dreams, facilitating the dreamer's sense of control (Baird et al., 2019).

{{robelbox|theme=8|title=Quiz question 4|iconwidth=55px|icon=Search-icon-white-background.png}}  &lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
&lt;quiz display=&quot;simple&quot;&gt;
Which brain region is primarily responsible for the heightened awareness and decision-making necessary for lucid dreaming?
|type=&quot;()&quot;}
+ The prefrontal cortex
- The brainstem
- The cerebellum
&lt;/quiz&gt;
&lt;/div&gt;{{RoundBoxBottom}}

==Conclusion==
Lucid dreaming presents a fascinating intersection of psychology, motivation, and emotion, offering individuals a unique opportunity to explore their inner worlds while awake in their dreams. The key points outlined throughout this chapter illustrate the significance of understanding lucid dreaming techniques, such as reality testing, mnemonic induction of lucid dreams (MILD), and wake-initiated lucid dreams (WILD). Each of these techniques leverages psychological theories—like Goal-Setting Theory and Mindfulness Theory—demonstrating how motivation and emotional awareness play pivotal roles in achieving lucidity.

The exploration of focus questions reveals that while techniques can enhance the likelihood of experiencing lucid dreams, their effectiveness may vary based on individual emotional states and motivations. For instance, personal goals, such as overcoming nightmares or fostering creativity, can greatly influence one's success in achieving lucidity (Konkoly &amp; Burke, 2019). Conversely, challenges like anxiety and depression may hinder emotional regulation, potentially complicating the lucid dreaming experience (Menefee et al., 2022).

By engaging with our dreams, we can confront and process difficult emotions, ultimately leading to a deeper understanding of ourselves. As illustrated in the thought experiment at the beginning of this chapter, the power of lucid dreaming allows us not only to manipulate our dream environments but also to navigate our emotional landscapes.

As we move forward, embracing the techniques for achieving lucid dreaming can empower individuals to harness the full potential of their dreaming experiences, transforming nightmares into opportunities for resilience and creativity. Ultimately, lucid dreaming invites us to explore the vast expanse of our consciousness, bridging the gap between our waking and dreaming selves.

== See also ==
* [[wikipedia:Lucid_dream|Lucid Dream (Wikipedia)]]
* [[Motivation and emotion/Book/2014/Dreams and emotion|Dreams and Emotion (Book chapter, 2014)]]

==References==
{{Hanging indent|1=

Aspy, D. J. (2020). Findings from the international lucid dream induction study. Frontiers in Psychology, 11. https://doi.org/10.3389/fpsyg.2020.01746

Baird, B., Mota-Rolim, S. A., &amp; Dresler, M. (2019). The cognitive neuroscience of lucid dreaming. Neuroscience &amp; Biobehavioral Reviews, 100, 305–323. https://doi.org/10.1016/j.neubiorev.2019.03.008

Dresler, M., Wehrle, R., Spoormaker, V. I., Steiger, A., Holsboer, F., Czisch, M., &amp; Hobson, J. A. (2015). Neural correlates of insight in dreaming and psychosis. Sleep Medicine Reviews, 20, 92–99. https://doi.org/10.1016/j.smrv.2014.06.004

Forrer, K. (2014). “To test or not to test, that is the question” - is there a way of verifying the validity of the interpretation of our dreams?. International Journal of Dream Research, 7(2), 153–169. https://doi.org/10.11588/ijodr.2014.2.15033

Konkoly, K., &amp; Burke, C. T. (2019). Can learning to lucid dream promote personal growth? Dreaming, 29(2). https://doi.org/10.1037/drm0000101

Locke, E. A., &amp; Latham, G. P. (2002). Building a practically useful theory of goal setting and task motivation: A 35-year odyssey. American Psychologist, 57(9), 705–717.

Menefee, D. S., Ledoux, T., Johnston, C. A., &amp; DeBakey, M. E. (2022). The importance of emotional regulation in mental health. American Journal of Lifestyle Medicine, 16(1), 28–31. https://doi.org/10.1177/15598276211049771

Neuhäusler, A., Schredl, M., &amp; Göritz, A. S. (2018). General knowledge about lucid dreaming and lucid dream induction techniques: An online study. International Journal of Dream Research, 179–185. https://doi.org/10.11588/ijodr.2018.2.50491

van Agteren, J., Iasiello, M., Lo, L., Bartholomaeus, J., Kopsaftis, Z., Carey, M., &amp; Kyrios, M. (2021). A systematic review and meta-analysis of psychological interventions to improve mental wellbeing. Nature Human Behaviour, 5(5), 631–652. https://doi.org/10.1038/s41562-021-01093-w

Voss, U., Holzmann, R., Tuin, I., &amp; Hobson, A. J. (2009). Lucid dreaming: A state of consciousness with features of both waking and non-lucid dreaming. Sleep, 32(9), 1191–1200. https://doi.org/10.1093/sleep/32.9.1191

}}

== External links ==
* [https://www.sleepfoundation.org/dreams/lucid-dreams How to Lucid Dream: Expert Tips and Tricks]

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| {{#if:ShamusBrodie|Hi [[User:ShamusBrodie|ShamusBrodie]].|}} FYI, the recommended [[Wikiversity]] heading style uses [[w:Letter case#Sentence_case|sentence casing]]. For example:&lt;br&gt;
&lt;big&gt;&lt;big&gt;Self-determination theory&lt;/big&gt;&lt;/big&gt;
rather than
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Here's an example chapter with correct heading casing: [[Motivation and emotion/Book/2019/Growth mindset development|Growth mindset development]]

-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 11:26, 20 August 2024 (UTC)
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-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:38, 2 September 2024 (UTC)
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# Basic integration between theory and research
|6=
&lt;!-- Conclusion comments... --&gt;
# Basic summary and conclusion
# Reads like generic genAI content
# Add practical, take-home message(s)
|7=
&lt;!-- Written expression – Style comments... --&gt;
&lt;!-- Written expression – Written expression --&gt;
# Written expression
## Overall, the quality of written expression is OK but there are aspects which are below professional standard
&lt;!-- Written expression – Language --&gt;
## Use 3rd person perspective (e.g., &quot;it&quot;) rather than 1st (e.g., &quot;we&quot;) or 2nd person (e.g., &quot;you&quot;) perspective[https://www.grammarly.com/blog/first-second-and-third-person/] in the main text, although 1st or 2nd person perspective can work well for case studies or feature boxes
&lt;!-- Written expression – Layout --&gt;
# Layout
## The chapter is well structured, with major sections using sub-sections
## The structure may be overly complicated (i.e., too many sections overall)
## Include an introductory paragraph before branching into the sub-sections (see {{expand}} tags)
## Use the default heading style (e.g., remove additional italics, bold, and/or change in font size)
&lt;!-- Written expression – APA style --&gt;
# APA style
## [https://apastyle.apa.org/style-grammar-guidelines/capitalization/diseases-disorders-therapies Use sentence casing for the names of disorders, therapies, theories, etc.]
## Direct quotes need page numbers – even better, communicate about concepts in your own words
&lt;!-- Written expression – Figures --&gt;
## Figures
### Briefly captioned; provide more detail to help connect the figure to the text
### Use this format for captions: ''Figure X''. Descriptive caption goes here in sentence casing. [[Motivation and emotion/Assessment/Chapter/Figures|See example]].
### Refer to the Figure in a more relevant way in the main text using APA style
&lt;!-- Written expression – Citations --&gt;
## Citations use excellent APA style (7th ed.)
&lt;!-- Written expression – References --&gt;
## References use very good APA style:
### Check and correct use of italicisation
|8=
&lt;!-- Learning features comments... --&gt;
# Basic use of learning features
&lt;!-- Learning features – Wikipedia embedded links --&gt;
# Reasonably good use of embedded in-text [[m:Help:Interwiki linking|interwiki links]] to Wikipedia articles. Adding more interwiki links for the first mention of key words and technical concepts would make the text even more interactive. See [[Motivation and emotion/Book/2020/Nutrition and anxiety|example]].
&lt;!-- Learning features – Wikiversity embedded links --&gt;
# No use of embedded in-text links to related [[Motivation and emotion/Book|book chapters]]. Embedding in-text links to related book chapters helps to integrate this chapter into the broader book project.
&lt;!-- Learning features – Figures, tables, feature boxes, scenarios --&gt;
# Basic use of figure(s)
# No use of table(s)
# Good use of feature box(es)
# Basic use of scenarios, case studies, or examples
&lt;!-- Learning features – Quizzes --&gt;
# Very good use of quiz(zes) and/or reflection question(s)
&lt;!-- Learning features – See also --&gt;
# Basic use of interwiki links in the &quot;See also&quot; section
## Use alphabetical order
## Include sources in [[w:Bracket#Parentheses|parentheses]] after the link
## Add more links
&lt;!-- Learning features – External links --&gt;
# Insufficient use of external links in the &quot;External links&quot; section
## Include sources in [[w:Bracket#Parentheses|parentheses]] after the link
## ChatGPT link broken (removed). See genAI guidelines for how to use and acknowledge.
## Add more links
|9=
&lt;!-- Social contribution comments... --&gt;
# ~4 logged, useful, mostly minor contributions with direct links to evidence
# Thanks for the useful image upload
}}
-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 07:06, 30 October 2024 (UTC)

{{MEMF/2024
|1=
&lt;!-- Overall comments ... --&gt;
&lt;!-- Overall - Overall --&gt;
# Overall, this is a basic presentation
&lt;!-- Overall - Time --&gt;
# The presentation is over the maximum time limit. Content beyond 3 mins is ignored for marking and feedback purposes.
|2=
&lt;!-- Overview comments ... --&gt;
&lt;!-- Overview - Opening --&gt;
# The opening conveys the purpose of the presentation in a basic way
&lt;!-- Overview - Introduction --&gt;
# The presentation has a basic introduction to engage audience interest
&lt;!-- Overview - Context --&gt;
# A context for the presentation is established
&lt;!-- Overview - Focus --&gt;
# Focus questions and/or an outline of topics are presented
|3=
&lt;!-- Content comments ... --&gt;
# Comments about the book chapter may also apply to this section
&lt;!-- Content - Addresses topic --&gt;
# The presentation addresses the topic
&lt;!-- Content - Amount --&gt;
# There is too much content (goes over time)
&lt;!-- Content - Theory --&gt;
# The presentation makes good use of relevant psychological theory
&lt;!-- Content - Research --&gt;
# The presentation makes basic use of relevant psychological research
&lt;!-- Content - Citations --&gt;
# The presentation makes basic use of citations to support claims
&lt;!-- Content - Examples --&gt;
# The presentation makes basic use of one or more examples
&lt;!-- Content - Practical advice --&gt;
# The presentation provides useful practical advice
&lt;!-- Content - Easy to understand --&gt;
# The presentation provides easy to understand information
|4=
&lt;!-- Conclusion comments ... --&gt;
&lt;!-- Conclusion - Slide --&gt;
# The conclusion provides a reasonably good  summary of the most relevant psychological theory and research about this topic
# The conclusion provides good take-home message(s)
&lt;!-- Conclusion - Time --&gt;
# The Conclusion only partly fitted within the time limit
|5=
&lt;!-- Audio comments ... --&gt;
&lt;!-- Audio - Easy to follow --&gt;
# The audio is easy to follow
&lt;!-- Audio - Narration --&gt;
# The presentation makes reasonably good use of narrated audio
&lt;!-- Audio - Pacing --&gt;
# Audio communication is well-paced
&lt;!-- Audio - Voice --&gt;
# Reasonably goo [[w:Intonation (linguistics)|intonation]]
&lt;!-- Audio - Practice --&gt;
# The narration is reasonably well practiced and/or performed
&lt;!-- Audio - Recording quality --&gt;
# Audio recording quality was basic
# Review microphone set-up to achieve higher recording quality
&lt;!-- Audio - Topic --&gt;
# The narrated [[#Content|content]] is well matched to the target topic
|6=
&lt;!-- Video comments ... --&gt;
&lt;!-- Video - Overall --&gt;
# Overall, visual display quality is reasonably good
&lt;!-- Video - Video, Image, Text --&gt;
# The presentation makes reasonably good use of text and image based slides
&lt;!-- Video - Text - Font --&gt;
# The font size is sufficiently large to make it easy to read
&lt;!-- Video - Text - Amount --&gt;
# The amount of text presented per slide makes it easy to read and listen at the same time
&lt;!-- Video - Images --&gt;
# The visual communication is supplemented in a reasonably good way by relevant images and/or diagrams
&lt;!-- Video - Production --&gt;
# The presentation is well produced using simple tools
&lt;!-- Video - Topic --&gt;
# The visual [[#Content|content]] is well matched to the target topic
|7=
&lt;!-- Meta-data comments ... --&gt;
&lt;!-- Meta-data - Title/sub-title --&gt;
# The correct title is used, but the sub-title (or a shortened version of it) is not used, as the name of the presentation. This would help to convey the purpose of the presentation and be consistent.
&lt;!-- Meta-data - Description --&gt;
# Provide a written description of the presentation to help potential viewers
&lt;!-- Meta-data - Links --&gt;
# A link to the book chapter is not provided
# A link from the book chapter is provided
|8=
&lt;!-- Licensing comments ... --&gt;
&lt;!-- Licensing - Images --&gt;
# Image sources and their copyright status are not clearly indicated
&lt;!-- Licensing - Presentation --&gt;
# A copyright license for the presentation is not clearly indicated
}}
-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 02:42, 10 November 2024 (UTC)

== AI slop ==

{{ping|Jtneill}} the image of the man with the magic glowing brain adds nothing to the resource and is anatomically incorrect to boot. Removing it is the best option. There is no need to replace it, at least not immediately. [[User:Dronebogus|Dronebogus]] ([[User talk:Dronebogus|discuss]] • [[Special:Contributions/Dronebogus|contribs]]) 01:24, 10 April 2026 (UTC)</text>
      <sha1>8z9eggqi1nvg6k6v1bdmc8i5rgapokj</sha1>
    </revision>
    <revision>
      <id>2804029</id>
      <parentid>2804027</parentid>
      <timestamp>2026-04-10T01:28:06Z</timestamp>
      <contributor>
        <username>Jtneill</username>
        <id>10242</id>
      </contributor>
      <comment>/* AI slop */ Reply</comment>
      <origin>2804029</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="17897" sha1="8j4fddctqrl6g5xosn27fm0wp89ejve" xml:space="preserve">== Heading casing ==
{| style=&quot;float: center; background:transparent;&quot;
|-
| [[File:Crystal Clear app ktip.svg|48px|left]]
| {{#if:ShamusBrodie|Hi [[User:ShamusBrodie|ShamusBrodie]].|}} FYI, the recommended [[Wikiversity]] heading style uses [[w:Letter case#Sentence_case|sentence casing]]. For example:&lt;br&gt;
&lt;big&gt;&lt;big&gt;Self-determination theory&lt;/big&gt;&lt;/big&gt;
rather than
&lt;big&gt;&lt;big&gt;Self-Determination Theory&lt;/big&gt;&lt;/big&gt;

Here's an example chapter with correct heading casing: [[Motivation and emotion/Book/2019/Growth mindset development|Growth mindset development]]

-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 11:26, 20 August 2024 (UTC)
|}

&lt;!-- Official topic development feedback --&gt;
{{METF/2024
|1=
&lt;!-- Title --&gt;
# The title and/or sub-title were not correctly worded and/or formatted (fixed)
|2=
&lt;!-- Headings --&gt;
# See earlier comment about [[#heading casing|Heading casing]]
# Promising 2-level heading structure – could benefit from further development and/or refinement
# The planned headings seemed to be structured around single citations; instead provide synthesis and integration across the best psychological science on this topic
# Remove [[wikit|acronym#Noun|acronym]]s from headings
# Remove citations from headings
# Remove trailing colons from headings
# Use default heading formatting (i.e., avoid bold, italics, underline, changing the size etc.)
&lt;!-- Alignment with focus questions --&gt;
# Adopt closer alignment between sub-title, focus questions, and top-level headings
&lt;!-- Other ---&gt;
# Usually an &quot;Introduction&quot; section isn't necessary because the Overview should do this job and, if there is additional detail, consider using more more descriptive heading(s)
|3=
&lt;!-- Overview--&gt;
# Does this section include [[Motivation and emotion/Assessment/Using generative AI|genAI content]]? If so, it needs to be acknowledged as such in the edit summaries, otherwise it violates academic integrity.
&lt;!-- Scenario --&gt;
# Move the scenario or case study into a feature box (with an image) to the start of this section to help catch reader interest
&lt;!-- Description --&gt;
# A brief, evocative description of the problem/topic is planned
&lt;!-- Focus questions --&gt;
# Closer alignment between the sub-title, focus questions, and top-level headings is recommended
# Present focus questions in a feature box at the end of this section
|4=
&lt;!-- Key points--&gt;
# Promising development of key points for each section
# Does this plan include [[Motivation and emotion/Assessment/Using generative AI|genAI content]]? If so, it needs to be acknowledged as such in the edit summaries, otherwise it violates academic integrity.
&lt;!-- Citations --&gt;
# Good use of citations
&lt;!-- Theory and research --&gt;
# Strive for an integrated balance of the best psychological theory and research about this topic, with practical examples
&lt;!-- Other --&gt;
&lt;!-- Conclusion --&gt;
# Conclusion (the most important section) hasn't been developed
# What might the take-home, practical messages be? (What are the answer(s) to the question(s) in the sub-title and/or focus questions?)
|5=
&lt;!-- Figure --&gt;
# One or more relevant figure(s) presented and captioned
&lt;!-- Caption --&gt;
# The figure caption(s) could better explain how the image connects to key points being made in the main text
&lt;!-- Cite --&gt;
# Figure(s) are cited at least once in the main text
&lt;!-- Creation --&gt;
# Well done on creating and uploading your own image! {{smile}} – this can also be listed as a social contribution
|6=
&lt;!-- Learning feature --&gt;
&lt;!-- Interwiki links ---&gt;
# Include in-text [[m:Help:Interwiki linking|interwiki links]] for the first mention of key terms to relevant Wikipedia articles and/or to other relevant book chapters (see [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 2]])
&lt;!-- Examples/case studies --&gt;
# Consider use of one or more scenarios/examples/case studies 
&lt;!-- Quiz --&gt;
# Promising use of quiz question(s)
# Focus quiz question(s) on the take-home messages
&lt;!-- Tables --&gt;
# Also consider using one or more tables to summarise key information
&lt;!-- Other --&gt;
# Consider including more examples/case studies, quiz question(s), table(s) etc.
|7=
&lt;!-- References --&gt;
&lt;!-- Overall --&gt;
# OK. Proofreading and correction needed.
&lt;!-- Systematic reviews --&gt;
# Are there any systematic reviews about this topic?
&lt;!-- Suggestions --&gt;
# Only include references which have been accessed and read
# Check and correct [https://apastyle.apa.org/instructional-aids/reference-guide.pdf APA referencing style]:
# Move non-peer-reviewed sources to external links
## Include volume and issue numbers
## make doi hyperlinks active (i.e., clickable)
# Remember that the goal is to identify and use the best academic theory and research about this topic
|8=
&lt;!-- Resources --&gt;
&lt;!-- See also --&gt;
# See also
## OK
## Use [[w:Letter case#Sentence casing|sentence casing]]
## Include source in brackets after link (e.g., (Wikipedia) or (Book chapter, year) for Wikiversity book chapters)
## Use alphabetical order
&lt;!-- External links --&gt;
# External links
## OK
## Use [[w:Letter case#Sentence casing|sentence casing]]
## Include source in brackets after link
## Use alphabetical order
|9=
&lt;!-- User page --&gt;
# Basic
&lt;!-- Description about self --&gt;
# Very brief description about self – consider expanding
&lt;!-- Links to profile(s) --&gt;
# Consider linking to your [https://portfolio.canberra.edu.au/ eportfolio] page and/or any other professional online profile or resume such as [https://www.linkedin.com/ LinkedIn]. This is not required, but it can be useful to interlink your professional networks.
&lt;!-- Link to book chapter --&gt;
# A link to the book chapter is provided
# Rename the link to the book chapter to make it more user-friendly (see [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 02]])
|10=
&lt;!-- Social contribution --&gt;
# One out of three types of contributions made with with direct link(s) to evidence. The other types of contribution are making:
#* direct improvements to other [[Motivation and emotion/Book|chapters (past or current)]]
#* comments on the [[Help:Talk page|talk page]]s of other [[Motivation and emotion/Book|chapters (past or current)]]
#* posts about the unit or project on other platforms such as the {{Motivation and emotion/Canvas}} discussion forum or on [https://x.com X] using the {{Motivation and emotion/Hashtag}}
}}
-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:38, 2 September 2024 (UTC)
&lt;!-- Official book chapter feedback --&gt;
{{MEBF/2024
|1=
&lt;!-- Overall comments... --&gt;
# Overall, this is a basic, but sufficient chapter
# The main area for potential improvement is greater reliance on your own reading and writing and less on genAI content
&lt;!-- Overall – Citations --&gt;
# Basic use of academic, peer-reviewed citations to support claims; in some places, better use could be made of academic, peer-reviewed citations (e.g., see the {{f}} tags)
&lt;!-- Overall – Word count --&gt;
# Under the [[Motivation and emotion/Assessment/Chapter#Wordcount|maximum word count]], so there is room to expand
&lt;!-- Overall – Copyedits --&gt;
# For additional feedback, see the following comments and [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2024%2FLucid_dream_facilitation&amp;diff=2677316&amp;oldid=2677020 these copyedits]
|2=
&lt;!-- Overview comments... --&gt;
# Basic
# Sub-headings removed
# Lacks development
&lt;!-- Overview – Case study --&gt;
# Engage reader via a case study or scenario in a feature box with a relevant image
&lt;!-- Overview – Explains problem --&gt;
# Briefly explains the psychological problem or phenomenon; provide more detail
# Reads like poorly written genAI material
&lt;!-- Overview – Focus questions --&gt;
# The focus questions are clear
|3=
&lt;!-- Theory comments... --&gt;
&lt;!-- Theory – Breadth --&gt;
# A good range of relevant theories are selected, described, and explained
&lt;!-- Theory – Builds on --&gt;
# Builds somewhat on other [[Motivation and emotion/Book|chapters]] and/or [[w:|Wikipedia]] articles
&lt;!-- Theory – Depth --&gt;
# Reasonably good depth is provided about relevant theory(ies)
&lt;!-- Theory – Tables/Figures/Lists --&gt;
# Use more tables, figures, and/or lists to help convey key theoretical information
&lt;!-- Theory – Citations --&gt;
# In some places, there is insufficient use of academic, peer-reviewed citations (e.g., see the {{f}} tags)
&lt;!-- Theory – Examples --&gt;
# Basic use of examples to illustrate theoretical concepts
|4=
&lt;!-- Research comments... --&gt;
&lt;!-- Research – Key findings --&gt;
# Basic review of relevant research
# More detail about key studies would be ideal
# Any systematic reviews or meta-analyses in this area?
# In some places, there is insufficient use of academic, peer-reviewed citations (e.g., see the {{f}} tags)
&lt;!-- Research – Critical thinking --&gt;
# Insufficient [[w:Critical thinking|critical thinking]] about relevant research is evident
# [[w:Critical thinking|Critical thinking]] about research could be further evidenced by:
## describing the methodology (e.g., sample, measures) in important studies
## considering the strength of relationships
## acknowledging limitations
## pointing out critiques/counterarguments
## suggesting ''specific'' directions for future research
# Some claims lack sufficient citation (e.g., see the {{f}} tags)
|5=
&lt;!-- Integration comments... --&gt;
# Basic integration between theory and research
|6=
&lt;!-- Conclusion comments... --&gt;
# Basic summary and conclusion
# Reads like generic genAI content
# Add practical, take-home message(s)
|7=
&lt;!-- Written expression – Style comments... --&gt;
&lt;!-- Written expression – Written expression --&gt;
# Written expression
## Overall, the quality of written expression is OK but there are aspects which are below professional standard
&lt;!-- Written expression – Language --&gt;
## Use 3rd person perspective (e.g., &quot;it&quot;) rather than 1st (e.g., &quot;we&quot;) or 2nd person (e.g., &quot;you&quot;) perspective[https://www.grammarly.com/blog/first-second-and-third-person/] in the main text, although 1st or 2nd person perspective can work well for case studies or feature boxes
&lt;!-- Written expression – Layout --&gt;
# Layout
## The chapter is well structured, with major sections using sub-sections
## The structure may be overly complicated (i.e., too many sections overall)
## Include an introductory paragraph before branching into the sub-sections (see {{expand}} tags)
## Use the default heading style (e.g., remove additional italics, bold, and/or change in font size)
&lt;!-- Written expression – APA style --&gt;
# APA style
## [https://apastyle.apa.org/style-grammar-guidelines/capitalization/diseases-disorders-therapies Use sentence casing for the names of disorders, therapies, theories, etc.]
## Direct quotes need page numbers – even better, communicate about concepts in your own words
&lt;!-- Written expression – Figures --&gt;
## Figures
### Briefly captioned; provide more detail to help connect the figure to the text
### Use this format for captions: ''Figure X''. Descriptive caption goes here in sentence casing. [[Motivation and emotion/Assessment/Chapter/Figures|See example]].
### Refer to the Figure in a more relevant way in the main text using APA style
&lt;!-- Written expression – Citations --&gt;
## Citations use excellent APA style (7th ed.)
&lt;!-- Written expression – References --&gt;
## References use very good APA style:
### Check and correct use of italicisation
|8=
&lt;!-- Learning features comments... --&gt;
# Basic use of learning features
&lt;!-- Learning features – Wikipedia embedded links --&gt;
# Reasonably good use of embedded in-text [[m:Help:Interwiki linking|interwiki links]] to Wikipedia articles. Adding more interwiki links for the first mention of key words and technical concepts would make the text even more interactive. See [[Motivation and emotion/Book/2020/Nutrition and anxiety|example]].
&lt;!-- Learning features – Wikiversity embedded links --&gt;
# No use of embedded in-text links to related [[Motivation and emotion/Book|book chapters]]. Embedding in-text links to related book chapters helps to integrate this chapter into the broader book project.
&lt;!-- Learning features – Figures, tables, feature boxes, scenarios --&gt;
# Basic use of figure(s)
# No use of table(s)
# Good use of feature box(es)
# Basic use of scenarios, case studies, or examples
&lt;!-- Learning features – Quizzes --&gt;
# Very good use of quiz(zes) and/or reflection question(s)
&lt;!-- Learning features – See also --&gt;
# Basic use of interwiki links in the &quot;See also&quot; section
## Use alphabetical order
## Include sources in [[w:Bracket#Parentheses|parentheses]] after the link
## Add more links
&lt;!-- Learning features – External links --&gt;
# Insufficient use of external links in the &quot;External links&quot; section
## Include sources in [[w:Bracket#Parentheses|parentheses]] after the link
## ChatGPT link broken (removed). See genAI guidelines for how to use and acknowledge.
## Add more links
|9=
&lt;!-- Social contribution comments... --&gt;
# ~4 logged, useful, mostly minor contributions with direct links to evidence
# Thanks for the useful image upload
}}
-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 07:06, 30 October 2024 (UTC)

{{MEMF/2024
|1=
&lt;!-- Overall comments ... --&gt;
&lt;!-- Overall - Overall --&gt;
# Overall, this is a basic presentation
&lt;!-- Overall - Time --&gt;
# The presentation is over the maximum time limit. Content beyond 3 mins is ignored for marking and feedback purposes.
|2=
&lt;!-- Overview comments ... --&gt;
&lt;!-- Overview - Opening --&gt;
# The opening conveys the purpose of the presentation in a basic way
&lt;!-- Overview - Introduction --&gt;
# The presentation has a basic introduction to engage audience interest
&lt;!-- Overview - Context --&gt;
# A context for the presentation is established
&lt;!-- Overview - Focus --&gt;
# Focus questions and/or an outline of topics are presented
|3=
&lt;!-- Content comments ... --&gt;
# Comments about the book chapter may also apply to this section
&lt;!-- Content - Addresses topic --&gt;
# The presentation addresses the topic
&lt;!-- Content - Amount --&gt;
# There is too much content (goes over time)
&lt;!-- Content - Theory --&gt;
# The presentation makes good use of relevant psychological theory
&lt;!-- Content - Research --&gt;
# The presentation makes basic use of relevant psychological research
&lt;!-- Content - Citations --&gt;
# The presentation makes basic use of citations to support claims
&lt;!-- Content - Examples --&gt;
# The presentation makes basic use of one or more examples
&lt;!-- Content - Practical advice --&gt;
# The presentation provides useful practical advice
&lt;!-- Content - Easy to understand --&gt;
# The presentation provides easy to understand information
|4=
&lt;!-- Conclusion comments ... --&gt;
&lt;!-- Conclusion - Slide --&gt;
# The conclusion provides a reasonably good  summary of the most relevant psychological theory and research about this topic
# The conclusion provides good take-home message(s)
&lt;!-- Conclusion - Time --&gt;
# The Conclusion only partly fitted within the time limit
|5=
&lt;!-- Audio comments ... --&gt;
&lt;!-- Audio - Easy to follow --&gt;
# The audio is easy to follow
&lt;!-- Audio - Narration --&gt;
# The presentation makes reasonably good use of narrated audio
&lt;!-- Audio - Pacing --&gt;
# Audio communication is well-paced
&lt;!-- Audio - Voice --&gt;
# Reasonably goo [[w:Intonation (linguistics)|intonation]]
&lt;!-- Audio - Practice --&gt;
# The narration is reasonably well practiced and/or performed
&lt;!-- Audio - Recording quality --&gt;
# Audio recording quality was basic
# Review microphone set-up to achieve higher recording quality
&lt;!-- Audio - Topic --&gt;
# The narrated [[#Content|content]] is well matched to the target topic
|6=
&lt;!-- Video comments ... --&gt;
&lt;!-- Video - Overall --&gt;
# Overall, visual display quality is reasonably good
&lt;!-- Video - Video, Image, Text --&gt;
# The presentation makes reasonably good use of text and image based slides
&lt;!-- Video - Text - Font --&gt;
# The font size is sufficiently large to make it easy to read
&lt;!-- Video - Text - Amount --&gt;
# The amount of text presented per slide makes it easy to read and listen at the same time
&lt;!-- Video - Images --&gt;
# The visual communication is supplemented in a reasonably good way by relevant images and/or diagrams
&lt;!-- Video - Production --&gt;
# The presentation is well produced using simple tools
&lt;!-- Video - Topic --&gt;
# The visual [[#Content|content]] is well matched to the target topic
|7=
&lt;!-- Meta-data comments ... --&gt;
&lt;!-- Meta-data - Title/sub-title --&gt;
# The correct title is used, but the sub-title (or a shortened version of it) is not used, as the name of the presentation. This would help to convey the purpose of the presentation and be consistent.
&lt;!-- Meta-data - Description --&gt;
# Provide a written description of the presentation to help potential viewers
&lt;!-- Meta-data - Links --&gt;
# A link to the book chapter is not provided
# A link from the book chapter is provided
|8=
&lt;!-- Licensing comments ... --&gt;
&lt;!-- Licensing - Images --&gt;
# Image sources and their copyright status are not clearly indicated
&lt;!-- Licensing - Presentation --&gt;
# A copyright license for the presentation is not clearly indicated
}}
-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 02:42, 10 November 2024 (UTC)

== AI slop ==

{{ping|Jtneill}} the image of the man with the magic glowing brain adds nothing to the resource and is anatomically incorrect to boot. Removing it is the best option. There is no need to replace it, at least not immediately. [[User:Dronebogus|Dronebogus]] ([[User talk:Dronebogus|discuss]] • [[Special:Contributions/Dronebogus|contribs]]) 01:24, 10 April 2026 (UTC)

:Feel free to suggest a better image -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 01:28, 10 April 2026 (UTC)</text>
      <sha1>8j4fddctqrl6g5xosn27fm0wp89ejve</sha1>
    </revision>
    <revision>
      <id>2804030</id>
      <parentid>2804029</parentid>
      <timestamp>2026-04-10T01:29:32Z</timestamp>
      <contributor>
        <username>Dronebogus</username>
        <id>3054149</id>
      </contributor>
      <comment>/* AI slop */ Reply</comment>
      <origin>2804030</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="18193" sha1="f0prg77t0dyse3h32r7ezav5nythogy" xml:space="preserve">== Heading casing ==
{| style=&quot;float: center; background:transparent;&quot;
|-
| [[File:Crystal Clear app ktip.svg|48px|left]]
| {{#if:ShamusBrodie|Hi [[User:ShamusBrodie|ShamusBrodie]].|}} FYI, the recommended [[Wikiversity]] heading style uses [[w:Letter case#Sentence_case|sentence casing]]. For example:&lt;br&gt;
&lt;big&gt;&lt;big&gt;Self-determination theory&lt;/big&gt;&lt;/big&gt;
rather than
&lt;big&gt;&lt;big&gt;Self-Determination Theory&lt;/big&gt;&lt;/big&gt;

Here's an example chapter with correct heading casing: [[Motivation and emotion/Book/2019/Growth mindset development|Growth mindset development]]

-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 11:26, 20 August 2024 (UTC)
|}

&lt;!-- Official topic development feedback --&gt;
{{METF/2024
|1=
&lt;!-- Title --&gt;
# The title and/or sub-title were not correctly worded and/or formatted (fixed)
|2=
&lt;!-- Headings --&gt;
# See earlier comment about [[#heading casing|Heading casing]]
# Promising 2-level heading structure – could benefit from further development and/or refinement
# The planned headings seemed to be structured around single citations; instead provide synthesis and integration across the best psychological science on this topic
# Remove [[wikit|acronym#Noun|acronym]]s from headings
# Remove citations from headings
# Remove trailing colons from headings
# Use default heading formatting (i.e., avoid bold, italics, underline, changing the size etc.)
&lt;!-- Alignment with focus questions --&gt;
# Adopt closer alignment between sub-title, focus questions, and top-level headings
&lt;!-- Other ---&gt;
# Usually an &quot;Introduction&quot; section isn't necessary because the Overview should do this job and, if there is additional detail, consider using more more descriptive heading(s)
|3=
&lt;!-- Overview--&gt;
# Does this section include [[Motivation and emotion/Assessment/Using generative AI|genAI content]]? If so, it needs to be acknowledged as such in the edit summaries, otherwise it violates academic integrity.
&lt;!-- Scenario --&gt;
# Move the scenario or case study into a feature box (with an image) to the start of this section to help catch reader interest
&lt;!-- Description --&gt;
# A brief, evocative description of the problem/topic is planned
&lt;!-- Focus questions --&gt;
# Closer alignment between the sub-title, focus questions, and top-level headings is recommended
# Present focus questions in a feature box at the end of this section
|4=
&lt;!-- Key points--&gt;
# Promising development of key points for each section
# Does this plan include [[Motivation and emotion/Assessment/Using generative AI|genAI content]]? If so, it needs to be acknowledged as such in the edit summaries, otherwise it violates academic integrity.
&lt;!-- Citations --&gt;
# Good use of citations
&lt;!-- Theory and research --&gt;
# Strive for an integrated balance of the best psychological theory and research about this topic, with practical examples
&lt;!-- Other --&gt;
&lt;!-- Conclusion --&gt;
# Conclusion (the most important section) hasn't been developed
# What might the take-home, practical messages be? (What are the answer(s) to the question(s) in the sub-title and/or focus questions?)
|5=
&lt;!-- Figure --&gt;
# One or more relevant figure(s) presented and captioned
&lt;!-- Caption --&gt;
# The figure caption(s) could better explain how the image connects to key points being made in the main text
&lt;!-- Cite --&gt;
# Figure(s) are cited at least once in the main text
&lt;!-- Creation --&gt;
# Well done on creating and uploading your own image! {{smile}} – this can also be listed as a social contribution
|6=
&lt;!-- Learning feature --&gt;
&lt;!-- Interwiki links ---&gt;
# Include in-text [[m:Help:Interwiki linking|interwiki links]] for the first mention of key terms to relevant Wikipedia articles and/or to other relevant book chapters (see [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 2]])
&lt;!-- Examples/case studies --&gt;
# Consider use of one or more scenarios/examples/case studies 
&lt;!-- Quiz --&gt;
# Promising use of quiz question(s)
# Focus quiz question(s) on the take-home messages
&lt;!-- Tables --&gt;
# Also consider using one or more tables to summarise key information
&lt;!-- Other --&gt;
# Consider including more examples/case studies, quiz question(s), table(s) etc.
|7=
&lt;!-- References --&gt;
&lt;!-- Overall --&gt;
# OK. Proofreading and correction needed.
&lt;!-- Systematic reviews --&gt;
# Are there any systematic reviews about this topic?
&lt;!-- Suggestions --&gt;
# Only include references which have been accessed and read
# Check and correct [https://apastyle.apa.org/instructional-aids/reference-guide.pdf APA referencing style]:
# Move non-peer-reviewed sources to external links
## Include volume and issue numbers
## make doi hyperlinks active (i.e., clickable)
# Remember that the goal is to identify and use the best academic theory and research about this topic
|8=
&lt;!-- Resources --&gt;
&lt;!-- See also --&gt;
# See also
## OK
## Use [[w:Letter case#Sentence casing|sentence casing]]
## Include source in brackets after link (e.g., (Wikipedia) or (Book chapter, year) for Wikiversity book chapters)
## Use alphabetical order
&lt;!-- External links --&gt;
# External links
## OK
## Use [[w:Letter case#Sentence casing|sentence casing]]
## Include source in brackets after link
## Use alphabetical order
|9=
&lt;!-- User page --&gt;
# Basic
&lt;!-- Description about self --&gt;
# Very brief description about self – consider expanding
&lt;!-- Links to profile(s) --&gt;
# Consider linking to your [https://portfolio.canberra.edu.au/ eportfolio] page and/or any other professional online profile or resume such as [https://www.linkedin.com/ LinkedIn]. This is not required, but it can be useful to interlink your professional networks.
&lt;!-- Link to book chapter --&gt;
# A link to the book chapter is provided
# Rename the link to the book chapter to make it more user-friendly (see [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 02]])
|10=
&lt;!-- Social contribution --&gt;
# One out of three types of contributions made with with direct link(s) to evidence. The other types of contribution are making:
#* direct improvements to other [[Motivation and emotion/Book|chapters (past or current)]]
#* comments on the [[Help:Talk page|talk page]]s of other [[Motivation and emotion/Book|chapters (past or current)]]
#* posts about the unit or project on other platforms such as the {{Motivation and emotion/Canvas}} discussion forum or on [https://x.com X] using the {{Motivation and emotion/Hashtag}}
}}
-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:38, 2 September 2024 (UTC)
&lt;!-- Official book chapter feedback --&gt;
{{MEBF/2024
|1=
&lt;!-- Overall comments... --&gt;
# Overall, this is a basic, but sufficient chapter
# The main area for potential improvement is greater reliance on your own reading and writing and less on genAI content
&lt;!-- Overall – Citations --&gt;
# Basic use of academic, peer-reviewed citations to support claims; in some places, better use could be made of academic, peer-reviewed citations (e.g., see the {{f}} tags)
&lt;!-- Overall – Word count --&gt;
# Under the [[Motivation and emotion/Assessment/Chapter#Wordcount|maximum word count]], so there is room to expand
&lt;!-- Overall – Copyedits --&gt;
# For additional feedback, see the following comments and [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2024%2FLucid_dream_facilitation&amp;diff=2677316&amp;oldid=2677020 these copyedits]
|2=
&lt;!-- Overview comments... --&gt;
# Basic
# Sub-headings removed
# Lacks development
&lt;!-- Overview – Case study --&gt;
# Engage reader via a case study or scenario in a feature box with a relevant image
&lt;!-- Overview – Explains problem --&gt;
# Briefly explains the psychological problem or phenomenon; provide more detail
# Reads like poorly written genAI material
&lt;!-- Overview – Focus questions --&gt;
# The focus questions are clear
|3=
&lt;!-- Theory comments... --&gt;
&lt;!-- Theory – Breadth --&gt;
# A good range of relevant theories are selected, described, and explained
&lt;!-- Theory – Builds on --&gt;
# Builds somewhat on other [[Motivation and emotion/Book|chapters]] and/or [[w:|Wikipedia]] articles
&lt;!-- Theory – Depth --&gt;
# Reasonably good depth is provided about relevant theory(ies)
&lt;!-- Theory – Tables/Figures/Lists --&gt;
# Use more tables, figures, and/or lists to help convey key theoretical information
&lt;!-- Theory – Citations --&gt;
# In some places, there is insufficient use of academic, peer-reviewed citations (e.g., see the {{f}} tags)
&lt;!-- Theory – Examples --&gt;
# Basic use of examples to illustrate theoretical concepts
|4=
&lt;!-- Research comments... --&gt;
&lt;!-- Research – Key findings --&gt;
# Basic review of relevant research
# More detail about key studies would be ideal
# Any systematic reviews or meta-analyses in this area?
# In some places, there is insufficient use of academic, peer-reviewed citations (e.g., see the {{f}} tags)
&lt;!-- Research – Critical thinking --&gt;
# Insufficient [[w:Critical thinking|critical thinking]] about relevant research is evident
# [[w:Critical thinking|Critical thinking]] about research could be further evidenced by:
## describing the methodology (e.g., sample, measures) in important studies
## considering the strength of relationships
## acknowledging limitations
## pointing out critiques/counterarguments
## suggesting ''specific'' directions for future research
# Some claims lack sufficient citation (e.g., see the {{f}} tags)
|5=
&lt;!-- Integration comments... --&gt;
# Basic integration between theory and research
|6=
&lt;!-- Conclusion comments... --&gt;
# Basic summary and conclusion
# Reads like generic genAI content
# Add practical, take-home message(s)
|7=
&lt;!-- Written expression – Style comments... --&gt;
&lt;!-- Written expression – Written expression --&gt;
# Written expression
## Overall, the quality of written expression is OK but there are aspects which are below professional standard
&lt;!-- Written expression – Language --&gt;
## Use 3rd person perspective (e.g., &quot;it&quot;) rather than 1st (e.g., &quot;we&quot;) or 2nd person (e.g., &quot;you&quot;) perspective[https://www.grammarly.com/blog/first-second-and-third-person/] in the main text, although 1st or 2nd person perspective can work well for case studies or feature boxes
&lt;!-- Written expression – Layout --&gt;
# Layout
## The chapter is well structured, with major sections using sub-sections
## The structure may be overly complicated (i.e., too many sections overall)
## Include an introductory paragraph before branching into the sub-sections (see {{expand}} tags)
## Use the default heading style (e.g., remove additional italics, bold, and/or change in font size)
&lt;!-- Written expression – APA style --&gt;
# APA style
## [https://apastyle.apa.org/style-grammar-guidelines/capitalization/diseases-disorders-therapies Use sentence casing for the names of disorders, therapies, theories, etc.]
## Direct quotes need page numbers – even better, communicate about concepts in your own words
&lt;!-- Written expression – Figures --&gt;
## Figures
### Briefly captioned; provide more detail to help connect the figure to the text
### Use this format for captions: ''Figure X''. Descriptive caption goes here in sentence casing. [[Motivation and emotion/Assessment/Chapter/Figures|See example]].
### Refer to the Figure in a more relevant way in the main text using APA style
&lt;!-- Written expression – Citations --&gt;
## Citations use excellent APA style (7th ed.)
&lt;!-- Written expression – References --&gt;
## References use very good APA style:
### Check and correct use of italicisation
|8=
&lt;!-- Learning features comments... --&gt;
# Basic use of learning features
&lt;!-- Learning features – Wikipedia embedded links --&gt;
# Reasonably good use of embedded in-text [[m:Help:Interwiki linking|interwiki links]] to Wikipedia articles. Adding more interwiki links for the first mention of key words and technical concepts would make the text even more interactive. See [[Motivation and emotion/Book/2020/Nutrition and anxiety|example]].
&lt;!-- Learning features – Wikiversity embedded links --&gt;
# No use of embedded in-text links to related [[Motivation and emotion/Book|book chapters]]. Embedding in-text links to related book chapters helps to integrate this chapter into the broader book project.
&lt;!-- Learning features – Figures, tables, feature boxes, scenarios --&gt;
# Basic use of figure(s)
# No use of table(s)
# Good use of feature box(es)
# Basic use of scenarios, case studies, or examples
&lt;!-- Learning features – Quizzes --&gt;
# Very good use of quiz(zes) and/or reflection question(s)
&lt;!-- Learning features – See also --&gt;
# Basic use of interwiki links in the &quot;See also&quot; section
## Use alphabetical order
## Include sources in [[w:Bracket#Parentheses|parentheses]] after the link
## Add more links
&lt;!-- Learning features – External links --&gt;
# Insufficient use of external links in the &quot;External links&quot; section
## Include sources in [[w:Bracket#Parentheses|parentheses]] after the link
## ChatGPT link broken (removed). See genAI guidelines for how to use and acknowledge.
## Add more links
|9=
&lt;!-- Social contribution comments... --&gt;
# ~4 logged, useful, mostly minor contributions with direct links to evidence
# Thanks for the useful image upload
}}
-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 07:06, 30 October 2024 (UTC)

{{MEMF/2024
|1=
&lt;!-- Overall comments ... --&gt;
&lt;!-- Overall - Overall --&gt;
# Overall, this is a basic presentation
&lt;!-- Overall - Time --&gt;
# The presentation is over the maximum time limit. Content beyond 3 mins is ignored for marking and feedback purposes.
|2=
&lt;!-- Overview comments ... --&gt;
&lt;!-- Overview - Opening --&gt;
# The opening conveys the purpose of the presentation in a basic way
&lt;!-- Overview - Introduction --&gt;
# The presentation has a basic introduction to engage audience interest
&lt;!-- Overview - Context --&gt;
# A context for the presentation is established
&lt;!-- Overview - Focus --&gt;
# Focus questions and/or an outline of topics are presented
|3=
&lt;!-- Content comments ... --&gt;
# Comments about the book chapter may also apply to this section
&lt;!-- Content - Addresses topic --&gt;
# The presentation addresses the topic
&lt;!-- Content - Amount --&gt;
# There is too much content (goes over time)
&lt;!-- Content - Theory --&gt;
# The presentation makes good use of relevant psychological theory
&lt;!-- Content - Research --&gt;
# The presentation makes basic use of relevant psychological research
&lt;!-- Content - Citations --&gt;
# The presentation makes basic use of citations to support claims
&lt;!-- Content - Examples --&gt;
# The presentation makes basic use of one or more examples
&lt;!-- Content - Practical advice --&gt;
# The presentation provides useful practical advice
&lt;!-- Content - Easy to understand --&gt;
# The presentation provides easy to understand information
|4=
&lt;!-- Conclusion comments ... --&gt;
&lt;!-- Conclusion - Slide --&gt;
# The conclusion provides a reasonably good  summary of the most relevant psychological theory and research about this topic
# The conclusion provides good take-home message(s)
&lt;!-- Conclusion - Time --&gt;
# The Conclusion only partly fitted within the time limit
|5=
&lt;!-- Audio comments ... --&gt;
&lt;!-- Audio - Easy to follow --&gt;
# The audio is easy to follow
&lt;!-- Audio - Narration --&gt;
# The presentation makes reasonably good use of narrated audio
&lt;!-- Audio - Pacing --&gt;
# Audio communication is well-paced
&lt;!-- Audio - Voice --&gt;
# Reasonably goo [[w:Intonation (linguistics)|intonation]]
&lt;!-- Audio - Practice --&gt;
# The narration is reasonably well practiced and/or performed
&lt;!-- Audio - Recording quality --&gt;
# Audio recording quality was basic
# Review microphone set-up to achieve higher recording quality
&lt;!-- Audio - Topic --&gt;
# The narrated [[#Content|content]] is well matched to the target topic
|6=
&lt;!-- Video comments ... --&gt;
&lt;!-- Video - Overall --&gt;
# Overall, visual display quality is reasonably good
&lt;!-- Video - Video, Image, Text --&gt;
# The presentation makes reasonably good use of text and image based slides
&lt;!-- Video - Text - Font --&gt;
# The font size is sufficiently large to make it easy to read
&lt;!-- Video - Text - Amount --&gt;
# The amount of text presented per slide makes it easy to read and listen at the same time
&lt;!-- Video - Images --&gt;
# The visual communication is supplemented in a reasonably good way by relevant images and/or diagrams
&lt;!-- Video - Production --&gt;
# The presentation is well produced using simple tools
&lt;!-- Video - Topic --&gt;
# The visual [[#Content|content]] is well matched to the target topic
|7=
&lt;!-- Meta-data comments ... --&gt;
&lt;!-- Meta-data - Title/sub-title --&gt;
# The correct title is used, but the sub-title (or a shortened version of it) is not used, as the name of the presentation. This would help to convey the purpose of the presentation and be consistent.
&lt;!-- Meta-data - Description --&gt;
# Provide a written description of the presentation to help potential viewers
&lt;!-- Meta-data - Links --&gt;
# A link to the book chapter is not provided
# A link from the book chapter is provided
|8=
&lt;!-- Licensing comments ... --&gt;
&lt;!-- Licensing - Images --&gt;
# Image sources and their copyright status are not clearly indicated
&lt;!-- Licensing - Presentation --&gt;
# A copyright license for the presentation is not clearly indicated
}}
-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 02:42, 10 November 2024 (UTC)

== AI slop ==

{{ping|Jtneill}} the image of the man with the magic glowing brain adds nothing to the resource and is anatomically incorrect to boot. Removing it is the best option. There is no need to replace it, at least not immediately. [[User:Dronebogus|Dronebogus]] ([[User talk:Dronebogus|discuss]] • [[Special:Contributions/Dronebogus|contribs]]) 01:24, 10 April 2026 (UTC)

:Feel free to suggest a better image -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 01:28, 10 April 2026 (UTC)
::There doesn’t have to be one. You are creating a false dichotomy between this image and a replacement when nothing is also preferable to this image. [[User:Dronebogus|Dronebogus]] ([[User talk:Dronebogus|discuss]] • [[Special:Contributions/Dronebogus|contribs]]) 01:29, 10 April 2026 (UTC)</text>
      <sha1>f0prg77t0dyse3h32r7ezav5nythogy</sha1>
    </revision>
    <revision>
      <id>2804038</id>
      <parentid>2804030</parentid>
      <timestamp>2026-04-10T02:24:54Z</timestamp>
      <contributor>
        <username>Jtneill</username>
        <id>10242</id>
      </contributor>
      <comment>/* AI slop */ Reply</comment>
      <origin>2804038</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="18513" sha1="56hqf2tsye5i7692jmramzch4z9y7wb" xml:space="preserve">== Heading casing ==
{| style=&quot;float: center; background:transparent;&quot;
|-
| [[File:Crystal Clear app ktip.svg|48px|left]]
| {{#if:ShamusBrodie|Hi [[User:ShamusBrodie|ShamusBrodie]].|}} FYI, the recommended [[Wikiversity]] heading style uses [[w:Letter case#Sentence_case|sentence casing]]. For example:&lt;br&gt;
&lt;big&gt;&lt;big&gt;Self-determination theory&lt;/big&gt;&lt;/big&gt;
rather than
&lt;big&gt;&lt;big&gt;Self-Determination Theory&lt;/big&gt;&lt;/big&gt;

Here's an example chapter with correct heading casing: [[Motivation and emotion/Book/2019/Growth mindset development|Growth mindset development]]

-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 11:26, 20 August 2024 (UTC)
|}

&lt;!-- Official topic development feedback --&gt;
{{METF/2024
|1=
&lt;!-- Title --&gt;
# The title and/or sub-title were not correctly worded and/or formatted (fixed)
|2=
&lt;!-- Headings --&gt;
# See earlier comment about [[#heading casing|Heading casing]]
# Promising 2-level heading structure – could benefit from further development and/or refinement
# The planned headings seemed to be structured around single citations; instead provide synthesis and integration across the best psychological science on this topic
# Remove [[wikit|acronym#Noun|acronym]]s from headings
# Remove citations from headings
# Remove trailing colons from headings
# Use default heading formatting (i.e., avoid bold, italics, underline, changing the size etc.)
&lt;!-- Alignment with focus questions --&gt;
# Adopt closer alignment between sub-title, focus questions, and top-level headings
&lt;!-- Other ---&gt;
# Usually an &quot;Introduction&quot; section isn't necessary because the Overview should do this job and, if there is additional detail, consider using more more descriptive heading(s)
|3=
&lt;!-- Overview--&gt;
# Does this section include [[Motivation and emotion/Assessment/Using generative AI|genAI content]]? If so, it needs to be acknowledged as such in the edit summaries, otherwise it violates academic integrity.
&lt;!-- Scenario --&gt;
# Move the scenario or case study into a feature box (with an image) to the start of this section to help catch reader interest
&lt;!-- Description --&gt;
# A brief, evocative description of the problem/topic is planned
&lt;!-- Focus questions --&gt;
# Closer alignment between the sub-title, focus questions, and top-level headings is recommended
# Present focus questions in a feature box at the end of this section
|4=
&lt;!-- Key points--&gt;
# Promising development of key points for each section
# Does this plan include [[Motivation and emotion/Assessment/Using generative AI|genAI content]]? If so, it needs to be acknowledged as such in the edit summaries, otherwise it violates academic integrity.
&lt;!-- Citations --&gt;
# Good use of citations
&lt;!-- Theory and research --&gt;
# Strive for an integrated balance of the best psychological theory and research about this topic, with practical examples
&lt;!-- Other --&gt;
&lt;!-- Conclusion --&gt;
# Conclusion (the most important section) hasn't been developed
# What might the take-home, practical messages be? (What are the answer(s) to the question(s) in the sub-title and/or focus questions?)
|5=
&lt;!-- Figure --&gt;
# One or more relevant figure(s) presented and captioned
&lt;!-- Caption --&gt;
# The figure caption(s) could better explain how the image connects to key points being made in the main text
&lt;!-- Cite --&gt;
# Figure(s) are cited at least once in the main text
&lt;!-- Creation --&gt;
# Well done on creating and uploading your own image! {{smile}} – this can also be listed as a social contribution
|6=
&lt;!-- Learning feature --&gt;
&lt;!-- Interwiki links ---&gt;
# Include in-text [[m:Help:Interwiki linking|interwiki links]] for the first mention of key terms to relevant Wikipedia articles and/or to other relevant book chapters (see [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 2]])
&lt;!-- Examples/case studies --&gt;
# Consider use of one or more scenarios/examples/case studies 
&lt;!-- Quiz --&gt;
# Promising use of quiz question(s)
# Focus quiz question(s) on the take-home messages
&lt;!-- Tables --&gt;
# Also consider using one or more tables to summarise key information
&lt;!-- Other --&gt;
# Consider including more examples/case studies, quiz question(s), table(s) etc.
|7=
&lt;!-- References --&gt;
&lt;!-- Overall --&gt;
# OK. Proofreading and correction needed.
&lt;!-- Systematic reviews --&gt;
# Are there any systematic reviews about this topic?
&lt;!-- Suggestions --&gt;
# Only include references which have been accessed and read
# Check and correct [https://apastyle.apa.org/instructional-aids/reference-guide.pdf APA referencing style]:
# Move non-peer-reviewed sources to external links
## Include volume and issue numbers
## make doi hyperlinks active (i.e., clickable)
# Remember that the goal is to identify and use the best academic theory and research about this topic
|8=
&lt;!-- Resources --&gt;
&lt;!-- See also --&gt;
# See also
## OK
## Use [[w:Letter case#Sentence casing|sentence casing]]
## Include source in brackets after link (e.g., (Wikipedia) or (Book chapter, year) for Wikiversity book chapters)
## Use alphabetical order
&lt;!-- External links --&gt;
# External links
## OK
## Use [[w:Letter case#Sentence casing|sentence casing]]
## Include source in brackets after link
## Use alphabetical order
|9=
&lt;!-- User page --&gt;
# Basic
&lt;!-- Description about self --&gt;
# Very brief description about self – consider expanding
&lt;!-- Links to profile(s) --&gt;
# Consider linking to your [https://portfolio.canberra.edu.au/ eportfolio] page and/or any other professional online profile or resume such as [https://www.linkedin.com/ LinkedIn]. This is not required, but it can be useful to interlink your professional networks.
&lt;!-- Link to book chapter --&gt;
# A link to the book chapter is provided
# Rename the link to the book chapter to make it more user-friendly (see [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 02]])
|10=
&lt;!-- Social contribution --&gt;
# One out of three types of contributions made with with direct link(s) to evidence. The other types of contribution are making:
#* direct improvements to other [[Motivation and emotion/Book|chapters (past or current)]]
#* comments on the [[Help:Talk page|talk page]]s of other [[Motivation and emotion/Book|chapters (past or current)]]
#* posts about the unit or project on other platforms such as the {{Motivation and emotion/Canvas}} discussion forum or on [https://x.com X] using the {{Motivation and emotion/Hashtag}}
}}
-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:38, 2 September 2024 (UTC)
&lt;!-- Official book chapter feedback --&gt;
{{MEBF/2024
|1=
&lt;!-- Overall comments... --&gt;
# Overall, this is a basic, but sufficient chapter
# The main area for potential improvement is greater reliance on your own reading and writing and less on genAI content
&lt;!-- Overall – Citations --&gt;
# Basic use of academic, peer-reviewed citations to support claims; in some places, better use could be made of academic, peer-reviewed citations (e.g., see the {{f}} tags)
&lt;!-- Overall – Word count --&gt;
# Under the [[Motivation and emotion/Assessment/Chapter#Wordcount|maximum word count]], so there is room to expand
&lt;!-- Overall – Copyedits --&gt;
# For additional feedback, see the following comments and [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2024%2FLucid_dream_facilitation&amp;diff=2677316&amp;oldid=2677020 these copyedits]
|2=
&lt;!-- Overview comments... --&gt;
# Basic
# Sub-headings removed
# Lacks development
&lt;!-- Overview – Case study --&gt;
# Engage reader via a case study or scenario in a feature box with a relevant image
&lt;!-- Overview – Explains problem --&gt;
# Briefly explains the psychological problem or phenomenon; provide more detail
# Reads like poorly written genAI material
&lt;!-- Overview – Focus questions --&gt;
# The focus questions are clear
|3=
&lt;!-- Theory comments... --&gt;
&lt;!-- Theory – Breadth --&gt;
# A good range of relevant theories are selected, described, and explained
&lt;!-- Theory – Builds on --&gt;
# Builds somewhat on other [[Motivation and emotion/Book|chapters]] and/or [[w:|Wikipedia]] articles
&lt;!-- Theory – Depth --&gt;
# Reasonably good depth is provided about relevant theory(ies)
&lt;!-- Theory – Tables/Figures/Lists --&gt;
# Use more tables, figures, and/or lists to help convey key theoretical information
&lt;!-- Theory – Citations --&gt;
# In some places, there is insufficient use of academic, peer-reviewed citations (e.g., see the {{f}} tags)
&lt;!-- Theory – Examples --&gt;
# Basic use of examples to illustrate theoretical concepts
|4=
&lt;!-- Research comments... --&gt;
&lt;!-- Research – Key findings --&gt;
# Basic review of relevant research
# More detail about key studies would be ideal
# Any systematic reviews or meta-analyses in this area?
# In some places, there is insufficient use of academic, peer-reviewed citations (e.g., see the {{f}} tags)
&lt;!-- Research – Critical thinking --&gt;
# Insufficient [[w:Critical thinking|critical thinking]] about relevant research is evident
# [[w:Critical thinking|Critical thinking]] about research could be further evidenced by:
## describing the methodology (e.g., sample, measures) in important studies
## considering the strength of relationships
## acknowledging limitations
## pointing out critiques/counterarguments
## suggesting ''specific'' directions for future research
# Some claims lack sufficient citation (e.g., see the {{f}} tags)
|5=
&lt;!-- Integration comments... --&gt;
# Basic integration between theory and research
|6=
&lt;!-- Conclusion comments... --&gt;
# Basic summary and conclusion
# Reads like generic genAI content
# Add practical, take-home message(s)
|7=
&lt;!-- Written expression – Style comments... --&gt;
&lt;!-- Written expression – Written expression --&gt;
# Written expression
## Overall, the quality of written expression is OK but there are aspects which are below professional standard
&lt;!-- Written expression – Language --&gt;
## Use 3rd person perspective (e.g., &quot;it&quot;) rather than 1st (e.g., &quot;we&quot;) or 2nd person (e.g., &quot;you&quot;) perspective[https://www.grammarly.com/blog/first-second-and-third-person/] in the main text, although 1st or 2nd person perspective can work well for case studies or feature boxes
&lt;!-- Written expression – Layout --&gt;
# Layout
## The chapter is well structured, with major sections using sub-sections
## The structure may be overly complicated (i.e., too many sections overall)
## Include an introductory paragraph before branching into the sub-sections (see {{expand}} tags)
## Use the default heading style (e.g., remove additional italics, bold, and/or change in font size)
&lt;!-- Written expression – APA style --&gt;
# APA style
## [https://apastyle.apa.org/style-grammar-guidelines/capitalization/diseases-disorders-therapies Use sentence casing for the names of disorders, therapies, theories, etc.]
## Direct quotes need page numbers – even better, communicate about concepts in your own words
&lt;!-- Written expression – Figures --&gt;
## Figures
### Briefly captioned; provide more detail to help connect the figure to the text
### Use this format for captions: ''Figure X''. Descriptive caption goes here in sentence casing. [[Motivation and emotion/Assessment/Chapter/Figures|See example]].
### Refer to the Figure in a more relevant way in the main text using APA style
&lt;!-- Written expression – Citations --&gt;
## Citations use excellent APA style (7th ed.)
&lt;!-- Written expression – References --&gt;
## References use very good APA style:
### Check and correct use of italicisation
|8=
&lt;!-- Learning features comments... --&gt;
# Basic use of learning features
&lt;!-- Learning features – Wikipedia embedded links --&gt;
# Reasonably good use of embedded in-text [[m:Help:Interwiki linking|interwiki links]] to Wikipedia articles. Adding more interwiki links for the first mention of key words and technical concepts would make the text even more interactive. See [[Motivation and emotion/Book/2020/Nutrition and anxiety|example]].
&lt;!-- Learning features – Wikiversity embedded links --&gt;
# No use of embedded in-text links to related [[Motivation and emotion/Book|book chapters]]. Embedding in-text links to related book chapters helps to integrate this chapter into the broader book project.
&lt;!-- Learning features – Figures, tables, feature boxes, scenarios --&gt;
# Basic use of figure(s)
# No use of table(s)
# Good use of feature box(es)
# Basic use of scenarios, case studies, or examples
&lt;!-- Learning features – Quizzes --&gt;
# Very good use of quiz(zes) and/or reflection question(s)
&lt;!-- Learning features – See also --&gt;
# Basic use of interwiki links in the &quot;See also&quot; section
## Use alphabetical order
## Include sources in [[w:Bracket#Parentheses|parentheses]] after the link
## Add more links
&lt;!-- Learning features – External links --&gt;
# Insufficient use of external links in the &quot;External links&quot; section
## Include sources in [[w:Bracket#Parentheses|parentheses]] after the link
## ChatGPT link broken (removed). See genAI guidelines for how to use and acknowledge.
## Add more links
|9=
&lt;!-- Social contribution comments... --&gt;
# ~4 logged, useful, mostly minor contributions with direct links to evidence
# Thanks for the useful image upload
}}
-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 07:06, 30 October 2024 (UTC)

{{MEMF/2024
|1=
&lt;!-- Overall comments ... --&gt;
&lt;!-- Overall - Overall --&gt;
# Overall, this is a basic presentation
&lt;!-- Overall - Time --&gt;
# The presentation is over the maximum time limit. Content beyond 3 mins is ignored for marking and feedback purposes.
|2=
&lt;!-- Overview comments ... --&gt;
&lt;!-- Overview - Opening --&gt;
# The opening conveys the purpose of the presentation in a basic way
&lt;!-- Overview - Introduction --&gt;
# The presentation has a basic introduction to engage audience interest
&lt;!-- Overview - Context --&gt;
# A context for the presentation is established
&lt;!-- Overview - Focus --&gt;
# Focus questions and/or an outline of topics are presented
|3=
&lt;!-- Content comments ... --&gt;
# Comments about the book chapter may also apply to this section
&lt;!-- Content - Addresses topic --&gt;
# The presentation addresses the topic
&lt;!-- Content - Amount --&gt;
# There is too much content (goes over time)
&lt;!-- Content - Theory --&gt;
# The presentation makes good use of relevant psychological theory
&lt;!-- Content - Research --&gt;
# The presentation makes basic use of relevant psychological research
&lt;!-- Content - Citations --&gt;
# The presentation makes basic use of citations to support claims
&lt;!-- Content - Examples --&gt;
# The presentation makes basic use of one or more examples
&lt;!-- Content - Practical advice --&gt;
# The presentation provides useful practical advice
&lt;!-- Content - Easy to understand --&gt;
# The presentation provides easy to understand information
|4=
&lt;!-- Conclusion comments ... --&gt;
&lt;!-- Conclusion - Slide --&gt;
# The conclusion provides a reasonably good  summary of the most relevant psychological theory and research about this topic
# The conclusion provides good take-home message(s)
&lt;!-- Conclusion - Time --&gt;
# The Conclusion only partly fitted within the time limit
|5=
&lt;!-- Audio comments ... --&gt;
&lt;!-- Audio - Easy to follow --&gt;
# The audio is easy to follow
&lt;!-- Audio - Narration --&gt;
# The presentation makes reasonably good use of narrated audio
&lt;!-- Audio - Pacing --&gt;
# Audio communication is well-paced
&lt;!-- Audio - Voice --&gt;
# Reasonably goo [[w:Intonation (linguistics)|intonation]]
&lt;!-- Audio - Practice --&gt;
# The narration is reasonably well practiced and/or performed
&lt;!-- Audio - Recording quality --&gt;
# Audio recording quality was basic
# Review microphone set-up to achieve higher recording quality
&lt;!-- Audio - Topic --&gt;
# The narrated [[#Content|content]] is well matched to the target topic
|6=
&lt;!-- Video comments ... --&gt;
&lt;!-- Video - Overall --&gt;
# Overall, visual display quality is reasonably good
&lt;!-- Video - Video, Image, Text --&gt;
# The presentation makes reasonably good use of text and image based slides
&lt;!-- Video - Text - Font --&gt;
# The font size is sufficiently large to make it easy to read
&lt;!-- Video - Text - Amount --&gt;
# The amount of text presented per slide makes it easy to read and listen at the same time
&lt;!-- Video - Images --&gt;
# The visual communication is supplemented in a reasonably good way by relevant images and/or diagrams
&lt;!-- Video - Production --&gt;
# The presentation is well produced using simple tools
&lt;!-- Video - Topic --&gt;
# The visual [[#Content|content]] is well matched to the target topic
|7=
&lt;!-- Meta-data comments ... --&gt;
&lt;!-- Meta-data - Title/sub-title --&gt;
# The correct title is used, but the sub-title (or a shortened version of it) is not used, as the name of the presentation. This would help to convey the purpose of the presentation and be consistent.
&lt;!-- Meta-data - Description --&gt;
# Provide a written description of the presentation to help potential viewers
&lt;!-- Meta-data - Links --&gt;
# A link to the book chapter is not provided
# A link from the book chapter is provided
|8=
&lt;!-- Licensing comments ... --&gt;
&lt;!-- Licensing - Images --&gt;
# Image sources and their copyright status are not clearly indicated
&lt;!-- Licensing - Presentation --&gt;
# A copyright license for the presentation is not clearly indicated
}}
-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 02:42, 10 November 2024 (UTC)

== AI slop ==

{{ping|Jtneill}} the image of the man with the magic glowing brain adds nothing to the resource and is anatomically incorrect to boot. Removing it is the best option. There is no need to replace it, at least not immediately. [[User:Dronebogus|Dronebogus]] ([[User talk:Dronebogus|discuss]] • [[Special:Contributions/Dronebogus|contribs]]) 01:24, 10 April 2026 (UTC)

:Feel free to suggest a better image -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 01:28, 10 April 2026 (UTC)
::There doesn’t have to be one. You are creating a false dichotomy between this image and a replacement when nothing is also preferable to this image. [[User:Dronebogus|Dronebogus]] ([[User talk:Dronebogus|discuss]] • [[Special:Contributions/Dronebogus|contribs]]) 01:29, 10 April 2026 (UTC)
:::I prefer an image in the Overview section because it is one of the requirement elements for the [[Motivation and emotion/Assessment/Chapter|Motivation and emotion book chapters]]. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 02:24, 10 April 2026 (UTC)</text>
      <sha1>56hqf2tsye5i7692jmramzch4z9y7wb</sha1>
    </revision>
    <revision>
      <id>2804039</id>
      <parentid>2804038</parentid>
      <timestamp>2026-04-10T02:30:34Z</timestamp>
      <contributor>
        <username>Dronebogus</username>
        <id>3054149</id>
      </contributor>
      <comment>/* AI slop */ Reply</comment>
      <origin>2804039</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="18686" sha1="meisl49v3ayeem5kuks6qhkb6ucrb6e" xml:space="preserve">== Heading casing ==
{| style=&quot;float: center; background:transparent;&quot;
|-
| [[File:Crystal Clear app ktip.svg|48px|left]]
| {{#if:ShamusBrodie|Hi [[User:ShamusBrodie|ShamusBrodie]].|}} FYI, the recommended [[Wikiversity]] heading style uses [[w:Letter case#Sentence_case|sentence casing]]. For example:&lt;br&gt;
&lt;big&gt;&lt;big&gt;Self-determination theory&lt;/big&gt;&lt;/big&gt;
rather than
&lt;big&gt;&lt;big&gt;Self-Determination Theory&lt;/big&gt;&lt;/big&gt;

Here's an example chapter with correct heading casing: [[Motivation and emotion/Book/2019/Growth mindset development|Growth mindset development]]

-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 11:26, 20 August 2024 (UTC)
|}

&lt;!-- Official topic development feedback --&gt;
{{METF/2024
|1=
&lt;!-- Title --&gt;
# The title and/or sub-title were not correctly worded and/or formatted (fixed)
|2=
&lt;!-- Headings --&gt;
# See earlier comment about [[#heading casing|Heading casing]]
# Promising 2-level heading structure – could benefit from further development and/or refinement
# The planned headings seemed to be structured around single citations; instead provide synthesis and integration across the best psychological science on this topic
# Remove [[wikit|acronym#Noun|acronym]]s from headings
# Remove citations from headings
# Remove trailing colons from headings
# Use default heading formatting (i.e., avoid bold, italics, underline, changing the size etc.)
&lt;!-- Alignment with focus questions --&gt;
# Adopt closer alignment between sub-title, focus questions, and top-level headings
&lt;!-- Other ---&gt;
# Usually an &quot;Introduction&quot; section isn't necessary because the Overview should do this job and, if there is additional detail, consider using more more descriptive heading(s)
|3=
&lt;!-- Overview--&gt;
# Does this section include [[Motivation and emotion/Assessment/Using generative AI|genAI content]]? If so, it needs to be acknowledged as such in the edit summaries, otherwise it violates academic integrity.
&lt;!-- Scenario --&gt;
# Move the scenario or case study into a feature box (with an image) to the start of this section to help catch reader interest
&lt;!-- Description --&gt;
# A brief, evocative description of the problem/topic is planned
&lt;!-- Focus questions --&gt;
# Closer alignment between the sub-title, focus questions, and top-level headings is recommended
# Present focus questions in a feature box at the end of this section
|4=
&lt;!-- Key points--&gt;
# Promising development of key points for each section
# Does this plan include [[Motivation and emotion/Assessment/Using generative AI|genAI content]]? If so, it needs to be acknowledged as such in the edit summaries, otherwise it violates academic integrity.
&lt;!-- Citations --&gt;
# Good use of citations
&lt;!-- Theory and research --&gt;
# Strive for an integrated balance of the best psychological theory and research about this topic, with practical examples
&lt;!-- Other --&gt;
&lt;!-- Conclusion --&gt;
# Conclusion (the most important section) hasn't been developed
# What might the take-home, practical messages be? (What are the answer(s) to the question(s) in the sub-title and/or focus questions?)
|5=
&lt;!-- Figure --&gt;
# One or more relevant figure(s) presented and captioned
&lt;!-- Caption --&gt;
# The figure caption(s) could better explain how the image connects to key points being made in the main text
&lt;!-- Cite --&gt;
# Figure(s) are cited at least once in the main text
&lt;!-- Creation --&gt;
# Well done on creating and uploading your own image! {{smile}} – this can also be listed as a social contribution
|6=
&lt;!-- Learning feature --&gt;
&lt;!-- Interwiki links ---&gt;
# Include in-text [[m:Help:Interwiki linking|interwiki links]] for the first mention of key terms to relevant Wikipedia articles and/or to other relevant book chapters (see [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 2]])
&lt;!-- Examples/case studies --&gt;
# Consider use of one or more scenarios/examples/case studies 
&lt;!-- Quiz --&gt;
# Promising use of quiz question(s)
# Focus quiz question(s) on the take-home messages
&lt;!-- Tables --&gt;
# Also consider using one or more tables to summarise key information
&lt;!-- Other --&gt;
# Consider including more examples/case studies, quiz question(s), table(s) etc.
|7=
&lt;!-- References --&gt;
&lt;!-- Overall --&gt;
# OK. Proofreading and correction needed.
&lt;!-- Systematic reviews --&gt;
# Are there any systematic reviews about this topic?
&lt;!-- Suggestions --&gt;
# Only include references which have been accessed and read
# Check and correct [https://apastyle.apa.org/instructional-aids/reference-guide.pdf APA referencing style]:
# Move non-peer-reviewed sources to external links
## Include volume and issue numbers
## make doi hyperlinks active (i.e., clickable)
# Remember that the goal is to identify and use the best academic theory and research about this topic
|8=
&lt;!-- Resources --&gt;
&lt;!-- See also --&gt;
# See also
## OK
## Use [[w:Letter case#Sentence casing|sentence casing]]
## Include source in brackets after link (e.g., (Wikipedia) or (Book chapter, year) for Wikiversity book chapters)
## Use alphabetical order
&lt;!-- External links --&gt;
# External links
## OK
## Use [[w:Letter case#Sentence casing|sentence casing]]
## Include source in brackets after link
## Use alphabetical order
|9=
&lt;!-- User page --&gt;
# Basic
&lt;!-- Description about self --&gt;
# Very brief description about self – consider expanding
&lt;!-- Links to profile(s) --&gt;
# Consider linking to your [https://portfolio.canberra.edu.au/ eportfolio] page and/or any other professional online profile or resume such as [https://www.linkedin.com/ LinkedIn]. This is not required, but it can be useful to interlink your professional networks.
&lt;!-- Link to book chapter --&gt;
# A link to the book chapter is provided
# Rename the link to the book chapter to make it more user-friendly (see [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 02]])
|10=
&lt;!-- Social contribution --&gt;
# One out of three types of contributions made with with direct link(s) to evidence. The other types of contribution are making:
#* direct improvements to other [[Motivation and emotion/Book|chapters (past or current)]]
#* comments on the [[Help:Talk page|talk page]]s of other [[Motivation and emotion/Book|chapters (past or current)]]
#* posts about the unit or project on other platforms such as the {{Motivation and emotion/Canvas}} discussion forum or on [https://x.com X] using the {{Motivation and emotion/Hashtag}}
}}
-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:38, 2 September 2024 (UTC)
&lt;!-- Official book chapter feedback --&gt;
{{MEBF/2024
|1=
&lt;!-- Overall comments... --&gt;
# Overall, this is a basic, but sufficient chapter
# The main area for potential improvement is greater reliance on your own reading and writing and less on genAI content
&lt;!-- Overall – Citations --&gt;
# Basic use of academic, peer-reviewed citations to support claims; in some places, better use could be made of academic, peer-reviewed citations (e.g., see the {{f}} tags)
&lt;!-- Overall – Word count --&gt;
# Under the [[Motivation and emotion/Assessment/Chapter#Wordcount|maximum word count]], so there is room to expand
&lt;!-- Overall – Copyedits --&gt;
# For additional feedback, see the following comments and [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2024%2FLucid_dream_facilitation&amp;diff=2677316&amp;oldid=2677020 these copyedits]
|2=
&lt;!-- Overview comments... --&gt;
# Basic
# Sub-headings removed
# Lacks development
&lt;!-- Overview – Case study --&gt;
# Engage reader via a case study or scenario in a feature box with a relevant image
&lt;!-- Overview – Explains problem --&gt;
# Briefly explains the psychological problem or phenomenon; provide more detail
# Reads like poorly written genAI material
&lt;!-- Overview – Focus questions --&gt;
# The focus questions are clear
|3=
&lt;!-- Theory comments... --&gt;
&lt;!-- Theory – Breadth --&gt;
# A good range of relevant theories are selected, described, and explained
&lt;!-- Theory – Builds on --&gt;
# Builds somewhat on other [[Motivation and emotion/Book|chapters]] and/or [[w:|Wikipedia]] articles
&lt;!-- Theory – Depth --&gt;
# Reasonably good depth is provided about relevant theory(ies)
&lt;!-- Theory – Tables/Figures/Lists --&gt;
# Use more tables, figures, and/or lists to help convey key theoretical information
&lt;!-- Theory – Citations --&gt;
# In some places, there is insufficient use of academic, peer-reviewed citations (e.g., see the {{f}} tags)
&lt;!-- Theory – Examples --&gt;
# Basic use of examples to illustrate theoretical concepts
|4=
&lt;!-- Research comments... --&gt;
&lt;!-- Research – Key findings --&gt;
# Basic review of relevant research
# More detail about key studies would be ideal
# Any systematic reviews or meta-analyses in this area?
# In some places, there is insufficient use of academic, peer-reviewed citations (e.g., see the {{f}} tags)
&lt;!-- Research – Critical thinking --&gt;
# Insufficient [[w:Critical thinking|critical thinking]] about relevant research is evident
# [[w:Critical thinking|Critical thinking]] about research could be further evidenced by:
## describing the methodology (e.g., sample, measures) in important studies
## considering the strength of relationships
## acknowledging limitations
## pointing out critiques/counterarguments
## suggesting ''specific'' directions for future research
# Some claims lack sufficient citation (e.g., see the {{f}} tags)
|5=
&lt;!-- Integration comments... --&gt;
# Basic integration between theory and research
|6=
&lt;!-- Conclusion comments... --&gt;
# Basic summary and conclusion
# Reads like generic genAI content
# Add practical, take-home message(s)
|7=
&lt;!-- Written expression – Style comments... --&gt;
&lt;!-- Written expression – Written expression --&gt;
# Written expression
## Overall, the quality of written expression is OK but there are aspects which are below professional standard
&lt;!-- Written expression – Language --&gt;
## Use 3rd person perspective (e.g., &quot;it&quot;) rather than 1st (e.g., &quot;we&quot;) or 2nd person (e.g., &quot;you&quot;) perspective[https://www.grammarly.com/blog/first-second-and-third-person/] in the main text, although 1st or 2nd person perspective can work well for case studies or feature boxes
&lt;!-- Written expression – Layout --&gt;
# Layout
## The chapter is well structured, with major sections using sub-sections
## The structure may be overly complicated (i.e., too many sections overall)
## Include an introductory paragraph before branching into the sub-sections (see {{expand}} tags)
## Use the default heading style (e.g., remove additional italics, bold, and/or change in font size)
&lt;!-- Written expression – APA style --&gt;
# APA style
## [https://apastyle.apa.org/style-grammar-guidelines/capitalization/diseases-disorders-therapies Use sentence casing for the names of disorders, therapies, theories, etc.]
## Direct quotes need page numbers – even better, communicate about concepts in your own words
&lt;!-- Written expression – Figures --&gt;
## Figures
### Briefly captioned; provide more detail to help connect the figure to the text
### Use this format for captions: ''Figure X''. Descriptive caption goes here in sentence casing. [[Motivation and emotion/Assessment/Chapter/Figures|See example]].
### Refer to the Figure in a more relevant way in the main text using APA style
&lt;!-- Written expression – Citations --&gt;
## Citations use excellent APA style (7th ed.)
&lt;!-- Written expression – References --&gt;
## References use very good APA style:
### Check and correct use of italicisation
|8=
&lt;!-- Learning features comments... --&gt;
# Basic use of learning features
&lt;!-- Learning features – Wikipedia embedded links --&gt;
# Reasonably good use of embedded in-text [[m:Help:Interwiki linking|interwiki links]] to Wikipedia articles. Adding more interwiki links for the first mention of key words and technical concepts would make the text even more interactive. See [[Motivation and emotion/Book/2020/Nutrition and anxiety|example]].
&lt;!-- Learning features – Wikiversity embedded links --&gt;
# No use of embedded in-text links to related [[Motivation and emotion/Book|book chapters]]. Embedding in-text links to related book chapters helps to integrate this chapter into the broader book project.
&lt;!-- Learning features – Figures, tables, feature boxes, scenarios --&gt;
# Basic use of figure(s)
# No use of table(s)
# Good use of feature box(es)
# Basic use of scenarios, case studies, or examples
&lt;!-- Learning features – Quizzes --&gt;
# Very good use of quiz(zes) and/or reflection question(s)
&lt;!-- Learning features – See also --&gt;
# Basic use of interwiki links in the &quot;See also&quot; section
## Use alphabetical order
## Include sources in [[w:Bracket#Parentheses|parentheses]] after the link
## Add more links
&lt;!-- Learning features – External links --&gt;
# Insufficient use of external links in the &quot;External links&quot; section
## Include sources in [[w:Bracket#Parentheses|parentheses]] after the link
## ChatGPT link broken (removed). See genAI guidelines for how to use and acknowledge.
## Add more links
|9=
&lt;!-- Social contribution comments... --&gt;
# ~4 logged, useful, mostly minor contributions with direct links to evidence
# Thanks for the useful image upload
}}
-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 07:06, 30 October 2024 (UTC)

{{MEMF/2024
|1=
&lt;!-- Overall comments ... --&gt;
&lt;!-- Overall - Overall --&gt;
# Overall, this is a basic presentation
&lt;!-- Overall - Time --&gt;
# The presentation is over the maximum time limit. Content beyond 3 mins is ignored for marking and feedback purposes.
|2=
&lt;!-- Overview comments ... --&gt;
&lt;!-- Overview - Opening --&gt;
# The opening conveys the purpose of the presentation in a basic way
&lt;!-- Overview - Introduction --&gt;
# The presentation has a basic introduction to engage audience interest
&lt;!-- Overview - Context --&gt;
# A context for the presentation is established
&lt;!-- Overview - Focus --&gt;
# Focus questions and/or an outline of topics are presented
|3=
&lt;!-- Content comments ... --&gt;
# Comments about the book chapter may also apply to this section
&lt;!-- Content - Addresses topic --&gt;
# The presentation addresses the topic
&lt;!-- Content - Amount --&gt;
# There is too much content (goes over time)
&lt;!-- Content - Theory --&gt;
# The presentation makes good use of relevant psychological theory
&lt;!-- Content - Research --&gt;
# The presentation makes basic use of relevant psychological research
&lt;!-- Content - Citations --&gt;
# The presentation makes basic use of citations to support claims
&lt;!-- Content - Examples --&gt;
# The presentation makes basic use of one or more examples
&lt;!-- Content - Practical advice --&gt;
# The presentation provides useful practical advice
&lt;!-- Content - Easy to understand --&gt;
# The presentation provides easy to understand information
|4=
&lt;!-- Conclusion comments ... --&gt;
&lt;!-- Conclusion - Slide --&gt;
# The conclusion provides a reasonably good  summary of the most relevant psychological theory and research about this topic
# The conclusion provides good take-home message(s)
&lt;!-- Conclusion - Time --&gt;
# The Conclusion only partly fitted within the time limit
|5=
&lt;!-- Audio comments ... --&gt;
&lt;!-- Audio - Easy to follow --&gt;
# The audio is easy to follow
&lt;!-- Audio - Narration --&gt;
# The presentation makes reasonably good use of narrated audio
&lt;!-- Audio - Pacing --&gt;
# Audio communication is well-paced
&lt;!-- Audio - Voice --&gt;
# Reasonably goo [[w:Intonation (linguistics)|intonation]]
&lt;!-- Audio - Practice --&gt;
# The narration is reasonably well practiced and/or performed
&lt;!-- Audio - Recording quality --&gt;
# Audio recording quality was basic
# Review microphone set-up to achieve higher recording quality
&lt;!-- Audio - Topic --&gt;
# The narrated [[#Content|content]] is well matched to the target topic
|6=
&lt;!-- Video comments ... --&gt;
&lt;!-- Video - Overall --&gt;
# Overall, visual display quality is reasonably good
&lt;!-- Video - Video, Image, Text --&gt;
# The presentation makes reasonably good use of text and image based slides
&lt;!-- Video - Text - Font --&gt;
# The font size is sufficiently large to make it easy to read
&lt;!-- Video - Text - Amount --&gt;
# The amount of text presented per slide makes it easy to read and listen at the same time
&lt;!-- Video - Images --&gt;
# The visual communication is supplemented in a reasonably good way by relevant images and/or diagrams
&lt;!-- Video - Production --&gt;
# The presentation is well produced using simple tools
&lt;!-- Video - Topic --&gt;
# The visual [[#Content|content]] is well matched to the target topic
|7=
&lt;!-- Meta-data comments ... --&gt;
&lt;!-- Meta-data - Title/sub-title --&gt;
# The correct title is used, but the sub-title (or a shortened version of it) is not used, as the name of the presentation. This would help to convey the purpose of the presentation and be consistent.
&lt;!-- Meta-data - Description --&gt;
# Provide a written description of the presentation to help potential viewers
&lt;!-- Meta-data - Links --&gt;
# A link to the book chapter is not provided
# A link from the book chapter is provided
|8=
&lt;!-- Licensing comments ... --&gt;
&lt;!-- Licensing - Images --&gt;
# Image sources and their copyright status are not clearly indicated
&lt;!-- Licensing - Presentation --&gt;
# A copyright license for the presentation is not clearly indicated
}}
-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 02:42, 10 November 2024 (UTC)

== AI slop ==

{{ping|Jtneill}} the image of the man with the magic glowing brain adds nothing to the resource and is anatomically incorrect to boot. Removing it is the best option. There is no need to replace it, at least not immediately. [[User:Dronebogus|Dronebogus]] ([[User talk:Dronebogus|discuss]] • [[Special:Contributions/Dronebogus|contribs]]) 01:24, 10 April 2026 (UTC)

:Feel free to suggest a better image -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 01:28, 10 April 2026 (UTC)
::There doesn’t have to be one. You are creating a false dichotomy between this image and a replacement when nothing is also preferable to this image. [[User:Dronebogus|Dronebogus]] ([[User talk:Dronebogus|discuss]] • [[Special:Contributions/Dronebogus|contribs]]) 01:29, 10 April 2026 (UTC)
:::I prefer an image in the Overview section because it is one of the requirement elements for the [[Motivation and emotion/Assessment/Chapter|Motivation and emotion book chapters]]. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 02:24, 10 April 2026 (UTC)
::::[[w:wp:IAR]] applies here [[User:Dronebogus|Dronebogus]] ([[User talk:Dronebogus|discuss]] • [[Special:Contributions/Dronebogus|contribs]]) 02:30, 10 April 2026 (UTC)</text>
      <sha1>meisl49v3ayeem5kuks6qhkb6ucrb6e</sha1>
    </revision>
    <revision>
      <id>2804050</id>
      <parentid>2804039</parentid>
      <timestamp>2026-04-10T02:45:15Z</timestamp>
      <contributor>
        <username>Jtneill</username>
        <id>10242</id>
      </contributor>
      <comment>/* AI slop */ Reply</comment>
      <origin>2804050</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="19116" sha1="4a8siazx52xfvx1vq8pgg9fglr1k34n" xml:space="preserve">== Heading casing ==
{| style=&quot;float: center; background:transparent;&quot;
|-
| [[File:Crystal Clear app ktip.svg|48px|left]]
| {{#if:ShamusBrodie|Hi [[User:ShamusBrodie|ShamusBrodie]].|}} FYI, the recommended [[Wikiversity]] heading style uses [[w:Letter case#Sentence_case|sentence casing]]. For example:&lt;br&gt;
&lt;big&gt;&lt;big&gt;Self-determination theory&lt;/big&gt;&lt;/big&gt;
rather than
&lt;big&gt;&lt;big&gt;Self-Determination Theory&lt;/big&gt;&lt;/big&gt;

Here's an example chapter with correct heading casing: [[Motivation and emotion/Book/2019/Growth mindset development|Growth mindset development]]

-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 11:26, 20 August 2024 (UTC)
|}

&lt;!-- Official topic development feedback --&gt;
{{METF/2024
|1=
&lt;!-- Title --&gt;
# The title and/or sub-title were not correctly worded and/or formatted (fixed)
|2=
&lt;!-- Headings --&gt;
# See earlier comment about [[#heading casing|Heading casing]]
# Promising 2-level heading structure – could benefit from further development and/or refinement
# The planned headings seemed to be structured around single citations; instead provide synthesis and integration across the best psychological science on this topic
# Remove [[wikit|acronym#Noun|acronym]]s from headings
# Remove citations from headings
# Remove trailing colons from headings
# Use default heading formatting (i.e., avoid bold, italics, underline, changing the size etc.)
&lt;!-- Alignment with focus questions --&gt;
# Adopt closer alignment between sub-title, focus questions, and top-level headings
&lt;!-- Other ---&gt;
# Usually an &quot;Introduction&quot; section isn't necessary because the Overview should do this job and, if there is additional detail, consider using more more descriptive heading(s)
|3=
&lt;!-- Overview--&gt;
# Does this section include [[Motivation and emotion/Assessment/Using generative AI|genAI content]]? If so, it needs to be acknowledged as such in the edit summaries, otherwise it violates academic integrity.
&lt;!-- Scenario --&gt;
# Move the scenario or case study into a feature box (with an image) to the start of this section to help catch reader interest
&lt;!-- Description --&gt;
# A brief, evocative description of the problem/topic is planned
&lt;!-- Focus questions --&gt;
# Closer alignment between the sub-title, focus questions, and top-level headings is recommended
# Present focus questions in a feature box at the end of this section
|4=
&lt;!-- Key points--&gt;
# Promising development of key points for each section
# Does this plan include [[Motivation and emotion/Assessment/Using generative AI|genAI content]]? If so, it needs to be acknowledged as such in the edit summaries, otherwise it violates academic integrity.
&lt;!-- Citations --&gt;
# Good use of citations
&lt;!-- Theory and research --&gt;
# Strive for an integrated balance of the best psychological theory and research about this topic, with practical examples
&lt;!-- Other --&gt;
&lt;!-- Conclusion --&gt;
# Conclusion (the most important section) hasn't been developed
# What might the take-home, practical messages be? (What are the answer(s) to the question(s) in the sub-title and/or focus questions?)
|5=
&lt;!-- Figure --&gt;
# One or more relevant figure(s) presented and captioned
&lt;!-- Caption --&gt;
# The figure caption(s) could better explain how the image connects to key points being made in the main text
&lt;!-- Cite --&gt;
# Figure(s) are cited at least once in the main text
&lt;!-- Creation --&gt;
# Well done on creating and uploading your own image! {{smile}} – this can also be listed as a social contribution
|6=
&lt;!-- Learning feature --&gt;
&lt;!-- Interwiki links ---&gt;
# Include in-text [[m:Help:Interwiki linking|interwiki links]] for the first mention of key terms to relevant Wikipedia articles and/or to other relevant book chapters (see [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 2]])
&lt;!-- Examples/case studies --&gt;
# Consider use of one or more scenarios/examples/case studies 
&lt;!-- Quiz --&gt;
# Promising use of quiz question(s)
# Focus quiz question(s) on the take-home messages
&lt;!-- Tables --&gt;
# Also consider using one or more tables to summarise key information
&lt;!-- Other --&gt;
# Consider including more examples/case studies, quiz question(s), table(s) etc.
|7=
&lt;!-- References --&gt;
&lt;!-- Overall --&gt;
# OK. Proofreading and correction needed.
&lt;!-- Systematic reviews --&gt;
# Are there any systematic reviews about this topic?
&lt;!-- Suggestions --&gt;
# Only include references which have been accessed and read
# Check and correct [https://apastyle.apa.org/instructional-aids/reference-guide.pdf APA referencing style]:
# Move non-peer-reviewed sources to external links
## Include volume and issue numbers
## make doi hyperlinks active (i.e., clickable)
# Remember that the goal is to identify and use the best academic theory and research about this topic
|8=
&lt;!-- Resources --&gt;
&lt;!-- See also --&gt;
# See also
## OK
## Use [[w:Letter case#Sentence casing|sentence casing]]
## Include source in brackets after link (e.g., (Wikipedia) or (Book chapter, year) for Wikiversity book chapters)
## Use alphabetical order
&lt;!-- External links --&gt;
# External links
## OK
## Use [[w:Letter case#Sentence casing|sentence casing]]
## Include source in brackets after link
## Use alphabetical order
|9=
&lt;!-- User page --&gt;
# Basic
&lt;!-- Description about self --&gt;
# Very brief description about self – consider expanding
&lt;!-- Links to profile(s) --&gt;
# Consider linking to your [https://portfolio.canberra.edu.au/ eportfolio] page and/or any other professional online profile or resume such as [https://www.linkedin.com/ LinkedIn]. This is not required, but it can be useful to interlink your professional networks.
&lt;!-- Link to book chapter --&gt;
# A link to the book chapter is provided
# Rename the link to the book chapter to make it more user-friendly (see [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 02]])
|10=
&lt;!-- Social contribution --&gt;
# One out of three types of contributions made with with direct link(s) to evidence. The other types of contribution are making:
#* direct improvements to other [[Motivation and emotion/Book|chapters (past or current)]]
#* comments on the [[Help:Talk page|talk page]]s of other [[Motivation and emotion/Book|chapters (past or current)]]
#* posts about the unit or project on other platforms such as the {{Motivation and emotion/Canvas}} discussion forum or on [https://x.com X] using the {{Motivation and emotion/Hashtag}}
}}
-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:38, 2 September 2024 (UTC)
&lt;!-- Official book chapter feedback --&gt;
{{MEBF/2024
|1=
&lt;!-- Overall comments... --&gt;
# Overall, this is a basic, but sufficient chapter
# The main area for potential improvement is greater reliance on your own reading and writing and less on genAI content
&lt;!-- Overall – Citations --&gt;
# Basic use of academic, peer-reviewed citations to support claims; in some places, better use could be made of academic, peer-reviewed citations (e.g., see the {{f}} tags)
&lt;!-- Overall – Word count --&gt;
# Under the [[Motivation and emotion/Assessment/Chapter#Wordcount|maximum word count]], so there is room to expand
&lt;!-- Overall – Copyedits --&gt;
# For additional feedback, see the following comments and [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2024%2FLucid_dream_facilitation&amp;diff=2677316&amp;oldid=2677020 these copyedits]
|2=
&lt;!-- Overview comments... --&gt;
# Basic
# Sub-headings removed
# Lacks development
&lt;!-- Overview – Case study --&gt;
# Engage reader via a case study or scenario in a feature box with a relevant image
&lt;!-- Overview – Explains problem --&gt;
# Briefly explains the psychological problem or phenomenon; provide more detail
# Reads like poorly written genAI material
&lt;!-- Overview – Focus questions --&gt;
# The focus questions are clear
|3=
&lt;!-- Theory comments... --&gt;
&lt;!-- Theory – Breadth --&gt;
# A good range of relevant theories are selected, described, and explained
&lt;!-- Theory – Builds on --&gt;
# Builds somewhat on other [[Motivation and emotion/Book|chapters]] and/or [[w:|Wikipedia]] articles
&lt;!-- Theory – Depth --&gt;
# Reasonably good depth is provided about relevant theory(ies)
&lt;!-- Theory – Tables/Figures/Lists --&gt;
# Use more tables, figures, and/or lists to help convey key theoretical information
&lt;!-- Theory – Citations --&gt;
# In some places, there is insufficient use of academic, peer-reviewed citations (e.g., see the {{f}} tags)
&lt;!-- Theory – Examples --&gt;
# Basic use of examples to illustrate theoretical concepts
|4=
&lt;!-- Research comments... --&gt;
&lt;!-- Research – Key findings --&gt;
# Basic review of relevant research
# More detail about key studies would be ideal
# Any systematic reviews or meta-analyses in this area?
# In some places, there is insufficient use of academic, peer-reviewed citations (e.g., see the {{f}} tags)
&lt;!-- Research – Critical thinking --&gt;
# Insufficient [[w:Critical thinking|critical thinking]] about relevant research is evident
# [[w:Critical thinking|Critical thinking]] about research could be further evidenced by:
## describing the methodology (e.g., sample, measures) in important studies
## considering the strength of relationships
## acknowledging limitations
## pointing out critiques/counterarguments
## suggesting ''specific'' directions for future research
# Some claims lack sufficient citation (e.g., see the {{f}} tags)
|5=
&lt;!-- Integration comments... --&gt;
# Basic integration between theory and research
|6=
&lt;!-- Conclusion comments... --&gt;
# Basic summary and conclusion
# Reads like generic genAI content
# Add practical, take-home message(s)
|7=
&lt;!-- Written expression – Style comments... --&gt;
&lt;!-- Written expression – Written expression --&gt;
# Written expression
## Overall, the quality of written expression is OK but there are aspects which are below professional standard
&lt;!-- Written expression – Language --&gt;
## Use 3rd person perspective (e.g., &quot;it&quot;) rather than 1st (e.g., &quot;we&quot;) or 2nd person (e.g., &quot;you&quot;) perspective[https://www.grammarly.com/blog/first-second-and-third-person/] in the main text, although 1st or 2nd person perspective can work well for case studies or feature boxes
&lt;!-- Written expression – Layout --&gt;
# Layout
## The chapter is well structured, with major sections using sub-sections
## The structure may be overly complicated (i.e., too many sections overall)
## Include an introductory paragraph before branching into the sub-sections (see {{expand}} tags)
## Use the default heading style (e.g., remove additional italics, bold, and/or change in font size)
&lt;!-- Written expression – APA style --&gt;
# APA style
## [https://apastyle.apa.org/style-grammar-guidelines/capitalization/diseases-disorders-therapies Use sentence casing for the names of disorders, therapies, theories, etc.]
## Direct quotes need page numbers – even better, communicate about concepts in your own words
&lt;!-- Written expression – Figures --&gt;
## Figures
### Briefly captioned; provide more detail to help connect the figure to the text
### Use this format for captions: ''Figure X''. Descriptive caption goes here in sentence casing. [[Motivation and emotion/Assessment/Chapter/Figures|See example]].
### Refer to the Figure in a more relevant way in the main text using APA style
&lt;!-- Written expression – Citations --&gt;
## Citations use excellent APA style (7th ed.)
&lt;!-- Written expression – References --&gt;
## References use very good APA style:
### Check and correct use of italicisation
|8=
&lt;!-- Learning features comments... --&gt;
# Basic use of learning features
&lt;!-- Learning features – Wikipedia embedded links --&gt;
# Reasonably good use of embedded in-text [[m:Help:Interwiki linking|interwiki links]] to Wikipedia articles. Adding more interwiki links for the first mention of key words and technical concepts would make the text even more interactive. See [[Motivation and emotion/Book/2020/Nutrition and anxiety|example]].
&lt;!-- Learning features – Wikiversity embedded links --&gt;
# No use of embedded in-text links to related [[Motivation and emotion/Book|book chapters]]. Embedding in-text links to related book chapters helps to integrate this chapter into the broader book project.
&lt;!-- Learning features – Figures, tables, feature boxes, scenarios --&gt;
# Basic use of figure(s)
# No use of table(s)
# Good use of feature box(es)
# Basic use of scenarios, case studies, or examples
&lt;!-- Learning features – Quizzes --&gt;
# Very good use of quiz(zes) and/or reflection question(s)
&lt;!-- Learning features – See also --&gt;
# Basic use of interwiki links in the &quot;See also&quot; section
## Use alphabetical order
## Include sources in [[w:Bracket#Parentheses|parentheses]] after the link
## Add more links
&lt;!-- Learning features – External links --&gt;
# Insufficient use of external links in the &quot;External links&quot; section
## Include sources in [[w:Bracket#Parentheses|parentheses]] after the link
## ChatGPT link broken (removed). See genAI guidelines for how to use and acknowledge.
## Add more links
|9=
&lt;!-- Social contribution comments... --&gt;
# ~4 logged, useful, mostly minor contributions with direct links to evidence
# Thanks for the useful image upload
}}
-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 07:06, 30 October 2024 (UTC)

{{MEMF/2024
|1=
&lt;!-- Overall comments ... --&gt;
&lt;!-- Overall - Overall --&gt;
# Overall, this is a basic presentation
&lt;!-- Overall - Time --&gt;
# The presentation is over the maximum time limit. Content beyond 3 mins is ignored for marking and feedback purposes.
|2=
&lt;!-- Overview comments ... --&gt;
&lt;!-- Overview - Opening --&gt;
# The opening conveys the purpose of the presentation in a basic way
&lt;!-- Overview - Introduction --&gt;
# The presentation has a basic introduction to engage audience interest
&lt;!-- Overview - Context --&gt;
# A context for the presentation is established
&lt;!-- Overview - Focus --&gt;
# Focus questions and/or an outline of topics are presented
|3=
&lt;!-- Content comments ... --&gt;
# Comments about the book chapter may also apply to this section
&lt;!-- Content - Addresses topic --&gt;
# The presentation addresses the topic
&lt;!-- Content - Amount --&gt;
# There is too much content (goes over time)
&lt;!-- Content - Theory --&gt;
# The presentation makes good use of relevant psychological theory
&lt;!-- Content - Research --&gt;
# The presentation makes basic use of relevant psychological research
&lt;!-- Content - Citations --&gt;
# The presentation makes basic use of citations to support claims
&lt;!-- Content - Examples --&gt;
# The presentation makes basic use of one or more examples
&lt;!-- Content - Practical advice --&gt;
# The presentation provides useful practical advice
&lt;!-- Content - Easy to understand --&gt;
# The presentation provides easy to understand information
|4=
&lt;!-- Conclusion comments ... --&gt;
&lt;!-- Conclusion - Slide --&gt;
# The conclusion provides a reasonably good  summary of the most relevant psychological theory and research about this topic
# The conclusion provides good take-home message(s)
&lt;!-- Conclusion - Time --&gt;
# The Conclusion only partly fitted within the time limit
|5=
&lt;!-- Audio comments ... --&gt;
&lt;!-- Audio - Easy to follow --&gt;
# The audio is easy to follow
&lt;!-- Audio - Narration --&gt;
# The presentation makes reasonably good use of narrated audio
&lt;!-- Audio - Pacing --&gt;
# Audio communication is well-paced
&lt;!-- Audio - Voice --&gt;
# Reasonably goo [[w:Intonation (linguistics)|intonation]]
&lt;!-- Audio - Practice --&gt;
# The narration is reasonably well practiced and/or performed
&lt;!-- Audio - Recording quality --&gt;
# Audio recording quality was basic
# Review microphone set-up to achieve higher recording quality
&lt;!-- Audio - Topic --&gt;
# The narrated [[#Content|content]] is well matched to the target topic
|6=
&lt;!-- Video comments ... --&gt;
&lt;!-- Video - Overall --&gt;
# Overall, visual display quality is reasonably good
&lt;!-- Video - Video, Image, Text --&gt;
# The presentation makes reasonably good use of text and image based slides
&lt;!-- Video - Text - Font --&gt;
# The font size is sufficiently large to make it easy to read
&lt;!-- Video - Text - Amount --&gt;
# The amount of text presented per slide makes it easy to read and listen at the same time
&lt;!-- Video - Images --&gt;
# The visual communication is supplemented in a reasonably good way by relevant images and/or diagrams
&lt;!-- Video - Production --&gt;
# The presentation is well produced using simple tools
&lt;!-- Video - Topic --&gt;
# The visual [[#Content|content]] is well matched to the target topic
|7=
&lt;!-- Meta-data comments ... --&gt;
&lt;!-- Meta-data - Title/sub-title --&gt;
# The correct title is used, but the sub-title (or a shortened version of it) is not used, as the name of the presentation. This would help to convey the purpose of the presentation and be consistent.
&lt;!-- Meta-data - Description --&gt;
# Provide a written description of the presentation to help potential viewers
&lt;!-- Meta-data - Links --&gt;
# A link to the book chapter is not provided
# A link from the book chapter is provided
|8=
&lt;!-- Licensing comments ... --&gt;
&lt;!-- Licensing - Images --&gt;
# Image sources and their copyright status are not clearly indicated
&lt;!-- Licensing - Presentation --&gt;
# A copyright license for the presentation is not clearly indicated
}}
-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 02:42, 10 November 2024 (UTC)

== AI slop ==

{{ping|Jtneill}} the image of the man with the magic glowing brain adds nothing to the resource and is anatomically incorrect to boot. Removing it is the best option. There is no need to replace it, at least not immediately. [[User:Dronebogus|Dronebogus]] ([[User talk:Dronebogus|discuss]] • [[Special:Contributions/Dronebogus|contribs]]) 01:24, 10 April 2026 (UTC)

:Feel free to suggest a better image -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 01:28, 10 April 2026 (UTC)
::There doesn’t have to be one. You are creating a false dichotomy between this image and a replacement when nothing is also preferable to this image. [[User:Dronebogus|Dronebogus]] ([[User talk:Dronebogus|discuss]] • [[Special:Contributions/Dronebogus|contribs]]) 01:29, 10 April 2026 (UTC)
:::I prefer an image in the Overview section because it is one of the requirement elements for the [[Motivation and emotion/Assessment/Chapter|Motivation and emotion book chapters]]. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 02:24, 10 April 2026 (UTC)
::::[[w:wp:IAR]] applies here [[User:Dronebogus|Dronebogus]] ([[User talk:Dronebogus|discuss]] • [[Special:Contributions/Dronebogus|contribs]]) 02:30, 10 April 2026 (UTC)
:::::How so? Images used on WMF project pages are the &quot;best&quot; anyone has created or found so far to help illustrate the shared knowledge. These images also serve as placeholders until better images become available. Editors can replace with better images any time, just as with improving text. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 02:45, 10 April 2026 (UTC)</text>
      <sha1>4a8siazx52xfvx1vq8pgg9fglr1k34n</sha1>
    </revision>
    <revision>
      <id>2804093</id>
      <parentid>2804050</parentid>
      <timestamp>2026-04-10T05:18:58Z</timestamp>
      <contributor>
        <username>Dronebogus</username>
        <id>3054149</id>
      </contributor>
      <comment>/* AI slop */ Reply</comment>
      <origin>2804093</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="19381" sha1="phfr6cyrcmk87nvs1azl8vxp5gk3pwh" xml:space="preserve">== Heading casing ==
{| style=&quot;float: center; background:transparent;&quot;
|-
| [[File:Crystal Clear app ktip.svg|48px|left]]
| {{#if:ShamusBrodie|Hi [[User:ShamusBrodie|ShamusBrodie]].|}} FYI, the recommended [[Wikiversity]] heading style uses [[w:Letter case#Sentence_case|sentence casing]]. For example:&lt;br&gt;
&lt;big&gt;&lt;big&gt;Self-determination theory&lt;/big&gt;&lt;/big&gt;
rather than
&lt;big&gt;&lt;big&gt;Self-Determination Theory&lt;/big&gt;&lt;/big&gt;

Here's an example chapter with correct heading casing: [[Motivation and emotion/Book/2019/Growth mindset development|Growth mindset development]]

-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 11:26, 20 August 2024 (UTC)
|}

&lt;!-- Official topic development feedback --&gt;
{{METF/2024
|1=
&lt;!-- Title --&gt;
# The title and/or sub-title were not correctly worded and/or formatted (fixed)
|2=
&lt;!-- Headings --&gt;
# See earlier comment about [[#heading casing|Heading casing]]
# Promising 2-level heading structure – could benefit from further development and/or refinement
# The planned headings seemed to be structured around single citations; instead provide synthesis and integration across the best psychological science on this topic
# Remove [[wikit|acronym#Noun|acronym]]s from headings
# Remove citations from headings
# Remove trailing colons from headings
# Use default heading formatting (i.e., avoid bold, italics, underline, changing the size etc.)
&lt;!-- Alignment with focus questions --&gt;
# Adopt closer alignment between sub-title, focus questions, and top-level headings
&lt;!-- Other ---&gt;
# Usually an &quot;Introduction&quot; section isn't necessary because the Overview should do this job and, if there is additional detail, consider using more more descriptive heading(s)
|3=
&lt;!-- Overview--&gt;
# Does this section include [[Motivation and emotion/Assessment/Using generative AI|genAI content]]? If so, it needs to be acknowledged as such in the edit summaries, otherwise it violates academic integrity.
&lt;!-- Scenario --&gt;
# Move the scenario or case study into a feature box (with an image) to the start of this section to help catch reader interest
&lt;!-- Description --&gt;
# A brief, evocative description of the problem/topic is planned
&lt;!-- Focus questions --&gt;
# Closer alignment between the sub-title, focus questions, and top-level headings is recommended
# Present focus questions in a feature box at the end of this section
|4=
&lt;!-- Key points--&gt;
# Promising development of key points for each section
# Does this plan include [[Motivation and emotion/Assessment/Using generative AI|genAI content]]? If so, it needs to be acknowledged as such in the edit summaries, otherwise it violates academic integrity.
&lt;!-- Citations --&gt;
# Good use of citations
&lt;!-- Theory and research --&gt;
# Strive for an integrated balance of the best psychological theory and research about this topic, with practical examples
&lt;!-- Other --&gt;
&lt;!-- Conclusion --&gt;
# Conclusion (the most important section) hasn't been developed
# What might the take-home, practical messages be? (What are the answer(s) to the question(s) in the sub-title and/or focus questions?)
|5=
&lt;!-- Figure --&gt;
# One or more relevant figure(s) presented and captioned
&lt;!-- Caption --&gt;
# The figure caption(s) could better explain how the image connects to key points being made in the main text
&lt;!-- Cite --&gt;
# Figure(s) are cited at least once in the main text
&lt;!-- Creation --&gt;
# Well done on creating and uploading your own image! {{smile}} – this can also be listed as a social contribution
|6=
&lt;!-- Learning feature --&gt;
&lt;!-- Interwiki links ---&gt;
# Include in-text [[m:Help:Interwiki linking|interwiki links]] for the first mention of key terms to relevant Wikipedia articles and/or to other relevant book chapters (see [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 2]])
&lt;!-- Examples/case studies --&gt;
# Consider use of one or more scenarios/examples/case studies 
&lt;!-- Quiz --&gt;
# Promising use of quiz question(s)
# Focus quiz question(s) on the take-home messages
&lt;!-- Tables --&gt;
# Also consider using one or more tables to summarise key information
&lt;!-- Other --&gt;
# Consider including more examples/case studies, quiz question(s), table(s) etc.
|7=
&lt;!-- References --&gt;
&lt;!-- Overall --&gt;
# OK. Proofreading and correction needed.
&lt;!-- Systematic reviews --&gt;
# Are there any systematic reviews about this topic?
&lt;!-- Suggestions --&gt;
# Only include references which have been accessed and read
# Check and correct [https://apastyle.apa.org/instructional-aids/reference-guide.pdf APA referencing style]:
# Move non-peer-reviewed sources to external links
## Include volume and issue numbers
## make doi hyperlinks active (i.e., clickable)
# Remember that the goal is to identify and use the best academic theory and research about this topic
|8=
&lt;!-- Resources --&gt;
&lt;!-- See also --&gt;
# See also
## OK
## Use [[w:Letter case#Sentence casing|sentence casing]]
## Include source in brackets after link (e.g., (Wikipedia) or (Book chapter, year) for Wikiversity book chapters)
## Use alphabetical order
&lt;!-- External links --&gt;
# External links
## OK
## Use [[w:Letter case#Sentence casing|sentence casing]]
## Include source in brackets after link
## Use alphabetical order
|9=
&lt;!-- User page --&gt;
# Basic
&lt;!-- Description about self --&gt;
# Very brief description about self – consider expanding
&lt;!-- Links to profile(s) --&gt;
# Consider linking to your [https://portfolio.canberra.edu.au/ eportfolio] page and/or any other professional online profile or resume such as [https://www.linkedin.com/ LinkedIn]. This is not required, but it can be useful to interlink your professional networks.
&lt;!-- Link to book chapter --&gt;
# A link to the book chapter is provided
# Rename the link to the book chapter to make it more user-friendly (see [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 02]])
|10=
&lt;!-- Social contribution --&gt;
# One out of three types of contributions made with with direct link(s) to evidence. The other types of contribution are making:
#* direct improvements to other [[Motivation and emotion/Book|chapters (past or current)]]
#* comments on the [[Help:Talk page|talk page]]s of other [[Motivation and emotion/Book|chapters (past or current)]]
#* posts about the unit or project on other platforms such as the {{Motivation and emotion/Canvas}} discussion forum or on [https://x.com X] using the {{Motivation and emotion/Hashtag}}
}}
-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:38, 2 September 2024 (UTC)
&lt;!-- Official book chapter feedback --&gt;
{{MEBF/2024
|1=
&lt;!-- Overall comments... --&gt;
# Overall, this is a basic, but sufficient chapter
# The main area for potential improvement is greater reliance on your own reading and writing and less on genAI content
&lt;!-- Overall – Citations --&gt;
# Basic use of academic, peer-reviewed citations to support claims; in some places, better use could be made of academic, peer-reviewed citations (e.g., see the {{f}} tags)
&lt;!-- Overall – Word count --&gt;
# Under the [[Motivation and emotion/Assessment/Chapter#Wordcount|maximum word count]], so there is room to expand
&lt;!-- Overall – Copyedits --&gt;
# For additional feedback, see the following comments and [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2024%2FLucid_dream_facilitation&amp;diff=2677316&amp;oldid=2677020 these copyedits]
|2=
&lt;!-- Overview comments... --&gt;
# Basic
# Sub-headings removed
# Lacks development
&lt;!-- Overview – Case study --&gt;
# Engage reader via a case study or scenario in a feature box with a relevant image
&lt;!-- Overview – Explains problem --&gt;
# Briefly explains the psychological problem or phenomenon; provide more detail
# Reads like poorly written genAI material
&lt;!-- Overview – Focus questions --&gt;
# The focus questions are clear
|3=
&lt;!-- Theory comments... --&gt;
&lt;!-- Theory – Breadth --&gt;
# A good range of relevant theories are selected, described, and explained
&lt;!-- Theory – Builds on --&gt;
# Builds somewhat on other [[Motivation and emotion/Book|chapters]] and/or [[w:|Wikipedia]] articles
&lt;!-- Theory – Depth --&gt;
# Reasonably good depth is provided about relevant theory(ies)
&lt;!-- Theory – Tables/Figures/Lists --&gt;
# Use more tables, figures, and/or lists to help convey key theoretical information
&lt;!-- Theory – Citations --&gt;
# In some places, there is insufficient use of academic, peer-reviewed citations (e.g., see the {{f}} tags)
&lt;!-- Theory – Examples --&gt;
# Basic use of examples to illustrate theoretical concepts
|4=
&lt;!-- Research comments... --&gt;
&lt;!-- Research – Key findings --&gt;
# Basic review of relevant research
# More detail about key studies would be ideal
# Any systematic reviews or meta-analyses in this area?
# In some places, there is insufficient use of academic, peer-reviewed citations (e.g., see the {{f}} tags)
&lt;!-- Research – Critical thinking --&gt;
# Insufficient [[w:Critical thinking|critical thinking]] about relevant research is evident
# [[w:Critical thinking|Critical thinking]] about research could be further evidenced by:
## describing the methodology (e.g., sample, measures) in important studies
## considering the strength of relationships
## acknowledging limitations
## pointing out critiques/counterarguments
## suggesting ''specific'' directions for future research
# Some claims lack sufficient citation (e.g., see the {{f}} tags)
|5=
&lt;!-- Integration comments... --&gt;
# Basic integration between theory and research
|6=
&lt;!-- Conclusion comments... --&gt;
# Basic summary and conclusion
# Reads like generic genAI content
# Add practical, take-home message(s)
|7=
&lt;!-- Written expression – Style comments... --&gt;
&lt;!-- Written expression – Written expression --&gt;
# Written expression
## Overall, the quality of written expression is OK but there are aspects which are below professional standard
&lt;!-- Written expression – Language --&gt;
## Use 3rd person perspective (e.g., &quot;it&quot;) rather than 1st (e.g., &quot;we&quot;) or 2nd person (e.g., &quot;you&quot;) perspective[https://www.grammarly.com/blog/first-second-and-third-person/] in the main text, although 1st or 2nd person perspective can work well for case studies or feature boxes
&lt;!-- Written expression – Layout --&gt;
# Layout
## The chapter is well structured, with major sections using sub-sections
## The structure may be overly complicated (i.e., too many sections overall)
## Include an introductory paragraph before branching into the sub-sections (see {{expand}} tags)
## Use the default heading style (e.g., remove additional italics, bold, and/or change in font size)
&lt;!-- Written expression – APA style --&gt;
# APA style
## [https://apastyle.apa.org/style-grammar-guidelines/capitalization/diseases-disorders-therapies Use sentence casing for the names of disorders, therapies, theories, etc.]
## Direct quotes need page numbers – even better, communicate about concepts in your own words
&lt;!-- Written expression – Figures --&gt;
## Figures
### Briefly captioned; provide more detail to help connect the figure to the text
### Use this format for captions: ''Figure X''. Descriptive caption goes here in sentence casing. [[Motivation and emotion/Assessment/Chapter/Figures|See example]].
### Refer to the Figure in a more relevant way in the main text using APA style
&lt;!-- Written expression – Citations --&gt;
## Citations use excellent APA style (7th ed.)
&lt;!-- Written expression – References --&gt;
## References use very good APA style:
### Check and correct use of italicisation
|8=
&lt;!-- Learning features comments... --&gt;
# Basic use of learning features
&lt;!-- Learning features – Wikipedia embedded links --&gt;
# Reasonably good use of embedded in-text [[m:Help:Interwiki linking|interwiki links]] to Wikipedia articles. Adding more interwiki links for the first mention of key words and technical concepts would make the text even more interactive. See [[Motivation and emotion/Book/2020/Nutrition and anxiety|example]].
&lt;!-- Learning features – Wikiversity embedded links --&gt;
# No use of embedded in-text links to related [[Motivation and emotion/Book|book chapters]]. Embedding in-text links to related book chapters helps to integrate this chapter into the broader book project.
&lt;!-- Learning features – Figures, tables, feature boxes, scenarios --&gt;
# Basic use of figure(s)
# No use of table(s)
# Good use of feature box(es)
# Basic use of scenarios, case studies, or examples
&lt;!-- Learning features – Quizzes --&gt;
# Very good use of quiz(zes) and/or reflection question(s)
&lt;!-- Learning features – See also --&gt;
# Basic use of interwiki links in the &quot;See also&quot; section
## Use alphabetical order
## Include sources in [[w:Bracket#Parentheses|parentheses]] after the link
## Add more links
&lt;!-- Learning features – External links --&gt;
# Insufficient use of external links in the &quot;External links&quot; section
## Include sources in [[w:Bracket#Parentheses|parentheses]] after the link
## ChatGPT link broken (removed). See genAI guidelines for how to use and acknowledge.
## Add more links
|9=
&lt;!-- Social contribution comments... --&gt;
# ~4 logged, useful, mostly minor contributions with direct links to evidence
# Thanks for the useful image upload
}}
-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 07:06, 30 October 2024 (UTC)

{{MEMF/2024
|1=
&lt;!-- Overall comments ... --&gt;
&lt;!-- Overall - Overall --&gt;
# Overall, this is a basic presentation
&lt;!-- Overall - Time --&gt;
# The presentation is over the maximum time limit. Content beyond 3 mins is ignored for marking and feedback purposes.
|2=
&lt;!-- Overview comments ... --&gt;
&lt;!-- Overview - Opening --&gt;
# The opening conveys the purpose of the presentation in a basic way
&lt;!-- Overview - Introduction --&gt;
# The presentation has a basic introduction to engage audience interest
&lt;!-- Overview - Context --&gt;
# A context for the presentation is established
&lt;!-- Overview - Focus --&gt;
# Focus questions and/or an outline of topics are presented
|3=
&lt;!-- Content comments ... --&gt;
# Comments about the book chapter may also apply to this section
&lt;!-- Content - Addresses topic --&gt;
# The presentation addresses the topic
&lt;!-- Content - Amount --&gt;
# There is too much content (goes over time)
&lt;!-- Content - Theory --&gt;
# The presentation makes good use of relevant psychological theory
&lt;!-- Content - Research --&gt;
# The presentation makes basic use of relevant psychological research
&lt;!-- Content - Citations --&gt;
# The presentation makes basic use of citations to support claims
&lt;!-- Content - Examples --&gt;
# The presentation makes basic use of one or more examples
&lt;!-- Content - Practical advice --&gt;
# The presentation provides useful practical advice
&lt;!-- Content - Easy to understand --&gt;
# The presentation provides easy to understand information
|4=
&lt;!-- Conclusion comments ... --&gt;
&lt;!-- Conclusion - Slide --&gt;
# The conclusion provides a reasonably good  summary of the most relevant psychological theory and research about this topic
# The conclusion provides good take-home message(s)
&lt;!-- Conclusion - Time --&gt;
# The Conclusion only partly fitted within the time limit
|5=
&lt;!-- Audio comments ... --&gt;
&lt;!-- Audio - Easy to follow --&gt;
# The audio is easy to follow
&lt;!-- Audio - Narration --&gt;
# The presentation makes reasonably good use of narrated audio
&lt;!-- Audio - Pacing --&gt;
# Audio communication is well-paced
&lt;!-- Audio - Voice --&gt;
# Reasonably goo [[w:Intonation (linguistics)|intonation]]
&lt;!-- Audio - Practice --&gt;
# The narration is reasonably well practiced and/or performed
&lt;!-- Audio - Recording quality --&gt;
# Audio recording quality was basic
# Review microphone set-up to achieve higher recording quality
&lt;!-- Audio - Topic --&gt;
# The narrated [[#Content|content]] is well matched to the target topic
|6=
&lt;!-- Video comments ... --&gt;
&lt;!-- Video - Overall --&gt;
# Overall, visual display quality is reasonably good
&lt;!-- Video - Video, Image, Text --&gt;
# The presentation makes reasonably good use of text and image based slides
&lt;!-- Video - Text - Font --&gt;
# The font size is sufficiently large to make it easy to read
&lt;!-- Video - Text - Amount --&gt;
# The amount of text presented per slide makes it easy to read and listen at the same time
&lt;!-- Video - Images --&gt;
# The visual communication is supplemented in a reasonably good way by relevant images and/or diagrams
&lt;!-- Video - Production --&gt;
# The presentation is well produced using simple tools
&lt;!-- Video - Topic --&gt;
# The visual [[#Content|content]] is well matched to the target topic
|7=
&lt;!-- Meta-data comments ... --&gt;
&lt;!-- Meta-data - Title/sub-title --&gt;
# The correct title is used, but the sub-title (or a shortened version of it) is not used, as the name of the presentation. This would help to convey the purpose of the presentation and be consistent.
&lt;!-- Meta-data - Description --&gt;
# Provide a written description of the presentation to help potential viewers
&lt;!-- Meta-data - Links --&gt;
# A link to the book chapter is not provided
# A link from the book chapter is provided
|8=
&lt;!-- Licensing comments ... --&gt;
&lt;!-- Licensing - Images --&gt;
# Image sources and their copyright status are not clearly indicated
&lt;!-- Licensing - Presentation --&gt;
# A copyright license for the presentation is not clearly indicated
}}
-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 02:42, 10 November 2024 (UTC)

== AI slop ==

{{ping|Jtneill}} the image of the man with the magic glowing brain adds nothing to the resource and is anatomically incorrect to boot. Removing it is the best option. There is no need to replace it, at least not immediately. [[User:Dronebogus|Dronebogus]] ([[User talk:Dronebogus|discuss]] • [[Special:Contributions/Dronebogus|contribs]]) 01:24, 10 April 2026 (UTC)

:Feel free to suggest a better image -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 01:28, 10 April 2026 (UTC)
::There doesn’t have to be one. You are creating a false dichotomy between this image and a replacement when nothing is also preferable to this image. [[User:Dronebogus|Dronebogus]] ([[User talk:Dronebogus|discuss]] • [[Special:Contributions/Dronebogus|contribs]]) 01:29, 10 April 2026 (UTC)
:::I prefer an image in the Overview section because it is one of the requirement elements for the [[Motivation and emotion/Assessment/Chapter|Motivation and emotion book chapters]]. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 02:24, 10 April 2026 (UTC)
::::[[w:wp:IAR]] applies here [[User:Dronebogus|Dronebogus]] ([[User talk:Dronebogus|discuss]] • [[Special:Contributions/Dronebogus|contribs]]) 02:30, 10 April 2026 (UTC)
:::::How so? Images used on WMF project pages are the &quot;best&quot; anyone has created or found so far to help illustrate the shared knowledge. These images also serve as placeholders until better images become available. Editors can replace with better images any time, just as with improving text. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 02:45, 10 April 2026 (UTC)
::::::If you think it needs a top illustration then [[:File:Letargo.jpg]] at least resembles stereotypical dream imagery. [[User:Dronebogus|Dronebogus]] ([[User talk:Dronebogus|discuss]] • [[Special:Contributions/Dronebogus|contribs]]) 05:18, 10 April 2026 (UTC)</text>
      <sha1>phfr6cyrcmk87nvs1azl8vxp5gk3pwh</sha1>
    </revision>
    <revision>
      <id>2804100</id>
      <parentid>2804093</parentid>
      <timestamp>2026-04-10T05:27:33Z</timestamp>
      <contributor>
        <username>Jtneill</username>
        <id>10242</id>
      </contributor>
      <comment>/* AI slop */ Reply</comment>
      <origin>2804100</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="19574" sha1="16xy3cr0nmbrx25eovssi6a4a5laiec" xml:space="preserve">== Heading casing ==
{| style=&quot;float: center; background:transparent;&quot;
|-
| [[File:Crystal Clear app ktip.svg|48px|left]]
| {{#if:ShamusBrodie|Hi [[User:ShamusBrodie|ShamusBrodie]].|}} FYI, the recommended [[Wikiversity]] heading style uses [[w:Letter case#Sentence_case|sentence casing]]. For example:&lt;br&gt;
&lt;big&gt;&lt;big&gt;Self-determination theory&lt;/big&gt;&lt;/big&gt;
rather than
&lt;big&gt;&lt;big&gt;Self-Determination Theory&lt;/big&gt;&lt;/big&gt;

Here's an example chapter with correct heading casing: [[Motivation and emotion/Book/2019/Growth mindset development|Growth mindset development]]

-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 11:26, 20 August 2024 (UTC)
|}

&lt;!-- Official topic development feedback --&gt;
{{METF/2024
|1=
&lt;!-- Title --&gt;
# The title and/or sub-title were not correctly worded and/or formatted (fixed)
|2=
&lt;!-- Headings --&gt;
# See earlier comment about [[#heading casing|Heading casing]]
# Promising 2-level heading structure – could benefit from further development and/or refinement
# The planned headings seemed to be structured around single citations; instead provide synthesis and integration across the best psychological science on this topic
# Remove [[wikit|acronym#Noun|acronym]]s from headings
# Remove citations from headings
# Remove trailing colons from headings
# Use default heading formatting (i.e., avoid bold, italics, underline, changing the size etc.)
&lt;!-- Alignment with focus questions --&gt;
# Adopt closer alignment between sub-title, focus questions, and top-level headings
&lt;!-- Other ---&gt;
# Usually an &quot;Introduction&quot; section isn't necessary because the Overview should do this job and, if there is additional detail, consider using more more descriptive heading(s)
|3=
&lt;!-- Overview--&gt;
# Does this section include [[Motivation and emotion/Assessment/Using generative AI|genAI content]]? If so, it needs to be acknowledged as such in the edit summaries, otherwise it violates academic integrity.
&lt;!-- Scenario --&gt;
# Move the scenario or case study into a feature box (with an image) to the start of this section to help catch reader interest
&lt;!-- Description --&gt;
# A brief, evocative description of the problem/topic is planned
&lt;!-- Focus questions --&gt;
# Closer alignment between the sub-title, focus questions, and top-level headings is recommended
# Present focus questions in a feature box at the end of this section
|4=
&lt;!-- Key points--&gt;
# Promising development of key points for each section
# Does this plan include [[Motivation and emotion/Assessment/Using generative AI|genAI content]]? If so, it needs to be acknowledged as such in the edit summaries, otherwise it violates academic integrity.
&lt;!-- Citations --&gt;
# Good use of citations
&lt;!-- Theory and research --&gt;
# Strive for an integrated balance of the best psychological theory and research about this topic, with practical examples
&lt;!-- Other --&gt;
&lt;!-- Conclusion --&gt;
# Conclusion (the most important section) hasn't been developed
# What might the take-home, practical messages be? (What are the answer(s) to the question(s) in the sub-title and/or focus questions?)
|5=
&lt;!-- Figure --&gt;
# One or more relevant figure(s) presented and captioned
&lt;!-- Caption --&gt;
# The figure caption(s) could better explain how the image connects to key points being made in the main text
&lt;!-- Cite --&gt;
# Figure(s) are cited at least once in the main text
&lt;!-- Creation --&gt;
# Well done on creating and uploading your own image! {{smile}} – this can also be listed as a social contribution
|6=
&lt;!-- Learning feature --&gt;
&lt;!-- Interwiki links ---&gt;
# Include in-text [[m:Help:Interwiki linking|interwiki links]] for the first mention of key terms to relevant Wikipedia articles and/or to other relevant book chapters (see [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 2]])
&lt;!-- Examples/case studies --&gt;
# Consider use of one or more scenarios/examples/case studies 
&lt;!-- Quiz --&gt;
# Promising use of quiz question(s)
# Focus quiz question(s) on the take-home messages
&lt;!-- Tables --&gt;
# Also consider using one or more tables to summarise key information
&lt;!-- Other --&gt;
# Consider including more examples/case studies, quiz question(s), table(s) etc.
|7=
&lt;!-- References --&gt;
&lt;!-- Overall --&gt;
# OK. Proofreading and correction needed.
&lt;!-- Systematic reviews --&gt;
# Are there any systematic reviews about this topic?
&lt;!-- Suggestions --&gt;
# Only include references which have been accessed and read
# Check and correct [https://apastyle.apa.org/instructional-aids/reference-guide.pdf APA referencing style]:
# Move non-peer-reviewed sources to external links
## Include volume and issue numbers
## make doi hyperlinks active (i.e., clickable)
# Remember that the goal is to identify and use the best academic theory and research about this topic
|8=
&lt;!-- Resources --&gt;
&lt;!-- See also --&gt;
# See also
## OK
## Use [[w:Letter case#Sentence casing|sentence casing]]
## Include source in brackets after link (e.g., (Wikipedia) or (Book chapter, year) for Wikiversity book chapters)
## Use alphabetical order
&lt;!-- External links --&gt;
# External links
## OK
## Use [[w:Letter case#Sentence casing|sentence casing]]
## Include source in brackets after link
## Use alphabetical order
|9=
&lt;!-- User page --&gt;
# Basic
&lt;!-- Description about self --&gt;
# Very brief description about self – consider expanding
&lt;!-- Links to profile(s) --&gt;
# Consider linking to your [https://portfolio.canberra.edu.au/ eportfolio] page and/or any other professional online profile or resume such as [https://www.linkedin.com/ LinkedIn]. This is not required, but it can be useful to interlink your professional networks.
&lt;!-- Link to book chapter --&gt;
# A link to the book chapter is provided
# Rename the link to the book chapter to make it more user-friendly (see [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 02]])
|10=
&lt;!-- Social contribution --&gt;
# One out of three types of contributions made with with direct link(s) to evidence. The other types of contribution are making:
#* direct improvements to other [[Motivation and emotion/Book|chapters (past or current)]]
#* comments on the [[Help:Talk page|talk page]]s of other [[Motivation and emotion/Book|chapters (past or current)]]
#* posts about the unit or project on other platforms such as the {{Motivation and emotion/Canvas}} discussion forum or on [https://x.com X] using the {{Motivation and emotion/Hashtag}}
}}
-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:38, 2 September 2024 (UTC)
&lt;!-- Official book chapter feedback --&gt;
{{MEBF/2024
|1=
&lt;!-- Overall comments... --&gt;
# Overall, this is a basic, but sufficient chapter
# The main area for potential improvement is greater reliance on your own reading and writing and less on genAI content
&lt;!-- Overall – Citations --&gt;
# Basic use of academic, peer-reviewed citations to support claims; in some places, better use could be made of academic, peer-reviewed citations (e.g., see the {{f}} tags)
&lt;!-- Overall – Word count --&gt;
# Under the [[Motivation and emotion/Assessment/Chapter#Wordcount|maximum word count]], so there is room to expand
&lt;!-- Overall – Copyedits --&gt;
# For additional feedback, see the following comments and [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2024%2FLucid_dream_facilitation&amp;diff=2677316&amp;oldid=2677020 these copyedits]
|2=
&lt;!-- Overview comments... --&gt;
# Basic
# Sub-headings removed
# Lacks development
&lt;!-- Overview – Case study --&gt;
# Engage reader via a case study or scenario in a feature box with a relevant image
&lt;!-- Overview – Explains problem --&gt;
# Briefly explains the psychological problem or phenomenon; provide more detail
# Reads like poorly written genAI material
&lt;!-- Overview – Focus questions --&gt;
# The focus questions are clear
|3=
&lt;!-- Theory comments... --&gt;
&lt;!-- Theory – Breadth --&gt;
# A good range of relevant theories are selected, described, and explained
&lt;!-- Theory – Builds on --&gt;
# Builds somewhat on other [[Motivation and emotion/Book|chapters]] and/or [[w:|Wikipedia]] articles
&lt;!-- Theory – Depth --&gt;
# Reasonably good depth is provided about relevant theory(ies)
&lt;!-- Theory – Tables/Figures/Lists --&gt;
# Use more tables, figures, and/or lists to help convey key theoretical information
&lt;!-- Theory – Citations --&gt;
# In some places, there is insufficient use of academic, peer-reviewed citations (e.g., see the {{f}} tags)
&lt;!-- Theory – Examples --&gt;
# Basic use of examples to illustrate theoretical concepts
|4=
&lt;!-- Research comments... --&gt;
&lt;!-- Research – Key findings --&gt;
# Basic review of relevant research
# More detail about key studies would be ideal
# Any systematic reviews or meta-analyses in this area?
# In some places, there is insufficient use of academic, peer-reviewed citations (e.g., see the {{f}} tags)
&lt;!-- Research – Critical thinking --&gt;
# Insufficient [[w:Critical thinking|critical thinking]] about relevant research is evident
# [[w:Critical thinking|Critical thinking]] about research could be further evidenced by:
## describing the methodology (e.g., sample, measures) in important studies
## considering the strength of relationships
## acknowledging limitations
## pointing out critiques/counterarguments
## suggesting ''specific'' directions for future research
# Some claims lack sufficient citation (e.g., see the {{f}} tags)
|5=
&lt;!-- Integration comments... --&gt;
# Basic integration between theory and research
|6=
&lt;!-- Conclusion comments... --&gt;
# Basic summary and conclusion
# Reads like generic genAI content
# Add practical, take-home message(s)
|7=
&lt;!-- Written expression – Style comments... --&gt;
&lt;!-- Written expression – Written expression --&gt;
# Written expression
## Overall, the quality of written expression is OK but there are aspects which are below professional standard
&lt;!-- Written expression – Language --&gt;
## Use 3rd person perspective (e.g., &quot;it&quot;) rather than 1st (e.g., &quot;we&quot;) or 2nd person (e.g., &quot;you&quot;) perspective[https://www.grammarly.com/blog/first-second-and-third-person/] in the main text, although 1st or 2nd person perspective can work well for case studies or feature boxes
&lt;!-- Written expression – Layout --&gt;
# Layout
## The chapter is well structured, with major sections using sub-sections
## The structure may be overly complicated (i.e., too many sections overall)
## Include an introductory paragraph before branching into the sub-sections (see {{expand}} tags)
## Use the default heading style (e.g., remove additional italics, bold, and/or change in font size)
&lt;!-- Written expression – APA style --&gt;
# APA style
## [https://apastyle.apa.org/style-grammar-guidelines/capitalization/diseases-disorders-therapies Use sentence casing for the names of disorders, therapies, theories, etc.]
## Direct quotes need page numbers – even better, communicate about concepts in your own words
&lt;!-- Written expression – Figures --&gt;
## Figures
### Briefly captioned; provide more detail to help connect the figure to the text
### Use this format for captions: ''Figure X''. Descriptive caption goes here in sentence casing. [[Motivation and emotion/Assessment/Chapter/Figures|See example]].
### Refer to the Figure in a more relevant way in the main text using APA style
&lt;!-- Written expression – Citations --&gt;
## Citations use excellent APA style (7th ed.)
&lt;!-- Written expression – References --&gt;
## References use very good APA style:
### Check and correct use of italicisation
|8=
&lt;!-- Learning features comments... --&gt;
# Basic use of learning features
&lt;!-- Learning features – Wikipedia embedded links --&gt;
# Reasonably good use of embedded in-text [[m:Help:Interwiki linking|interwiki links]] to Wikipedia articles. Adding more interwiki links for the first mention of key words and technical concepts would make the text even more interactive. See [[Motivation and emotion/Book/2020/Nutrition and anxiety|example]].
&lt;!-- Learning features – Wikiversity embedded links --&gt;
# No use of embedded in-text links to related [[Motivation and emotion/Book|book chapters]]. Embedding in-text links to related book chapters helps to integrate this chapter into the broader book project.
&lt;!-- Learning features – Figures, tables, feature boxes, scenarios --&gt;
# Basic use of figure(s)
# No use of table(s)
# Good use of feature box(es)
# Basic use of scenarios, case studies, or examples
&lt;!-- Learning features – Quizzes --&gt;
# Very good use of quiz(zes) and/or reflection question(s)
&lt;!-- Learning features – See also --&gt;
# Basic use of interwiki links in the &quot;See also&quot; section
## Use alphabetical order
## Include sources in [[w:Bracket#Parentheses|parentheses]] after the link
## Add more links
&lt;!-- Learning features – External links --&gt;
# Insufficient use of external links in the &quot;External links&quot; section
## Include sources in [[w:Bracket#Parentheses|parentheses]] after the link
## ChatGPT link broken (removed). See genAI guidelines for how to use and acknowledge.
## Add more links
|9=
&lt;!-- Social contribution comments... --&gt;
# ~4 logged, useful, mostly minor contributions with direct links to evidence
# Thanks for the useful image upload
}}
-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 07:06, 30 October 2024 (UTC)

{{MEMF/2024
|1=
&lt;!-- Overall comments ... --&gt;
&lt;!-- Overall - Overall --&gt;
# Overall, this is a basic presentation
&lt;!-- Overall - Time --&gt;
# The presentation is over the maximum time limit. Content beyond 3 mins is ignored for marking and feedback purposes.
|2=
&lt;!-- Overview comments ... --&gt;
&lt;!-- Overview - Opening --&gt;
# The opening conveys the purpose of the presentation in a basic way
&lt;!-- Overview - Introduction --&gt;
# The presentation has a basic introduction to engage audience interest
&lt;!-- Overview - Context --&gt;
# A context for the presentation is established
&lt;!-- Overview - Focus --&gt;
# Focus questions and/or an outline of topics are presented
|3=
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# The presentation addresses the topic
&lt;!-- Content - Amount --&gt;
# There is too much content (goes over time)
&lt;!-- Content - Theory --&gt;
# The presentation makes good use of relevant psychological theory
&lt;!-- Content - Research --&gt;
# The presentation makes basic use of relevant psychological research
&lt;!-- Content - Citations --&gt;
# The presentation makes basic use of citations to support claims
&lt;!-- Content - Examples --&gt;
# The presentation makes basic use of one or more examples
&lt;!-- Content - Practical advice --&gt;
# The presentation provides useful practical advice
&lt;!-- Content - Easy to understand --&gt;
# The presentation provides easy to understand information
|4=
&lt;!-- Conclusion comments ... --&gt;
&lt;!-- Conclusion - Slide --&gt;
# The conclusion provides a reasonably good  summary of the most relevant psychological theory and research about this topic
# The conclusion provides good take-home message(s)
&lt;!-- Conclusion - Time --&gt;
# The Conclusion only partly fitted within the time limit
|5=
&lt;!-- Audio comments ... --&gt;
&lt;!-- Audio - Easy to follow --&gt;
# The audio is easy to follow
&lt;!-- Audio - Narration --&gt;
# The presentation makes reasonably good use of narrated audio
&lt;!-- Audio - Pacing --&gt;
# Audio communication is well-paced
&lt;!-- Audio - Voice --&gt;
# Reasonably goo [[w:Intonation (linguistics)|intonation]]
&lt;!-- Audio - Practice --&gt;
# The narration is reasonably well practiced and/or performed
&lt;!-- Audio - Recording quality --&gt;
# Audio recording quality was basic
# Review microphone set-up to achieve higher recording quality
&lt;!-- Audio - Topic --&gt;
# The narrated [[#Content|content]] is well matched to the target topic
|6=
&lt;!-- Video comments ... --&gt;
&lt;!-- Video - Overall --&gt;
# Overall, visual display quality is reasonably good
&lt;!-- Video - Video, Image, Text --&gt;
# The presentation makes reasonably good use of text and image based slides
&lt;!-- Video - Text - Font --&gt;
# The font size is sufficiently large to make it easy to read
&lt;!-- Video - Text - Amount --&gt;
# The amount of text presented per slide makes it easy to read and listen at the same time
&lt;!-- Video - Images --&gt;
# The visual communication is supplemented in a reasonably good way by relevant images and/or diagrams
&lt;!-- Video - Production --&gt;
# The presentation is well produced using simple tools
&lt;!-- Video - Topic --&gt;
# The visual [[#Content|content]] is well matched to the target topic
|7=
&lt;!-- Meta-data comments ... --&gt;
&lt;!-- Meta-data - Title/sub-title --&gt;
# The correct title is used, but the sub-title (or a shortened version of it) is not used, as the name of the presentation. This would help to convey the purpose of the presentation and be consistent.
&lt;!-- Meta-data - Description --&gt;
# Provide a written description of the presentation to help potential viewers
&lt;!-- Meta-data - Links --&gt;
# A link to the book chapter is not provided
# A link from the book chapter is provided
|8=
&lt;!-- Licensing comments ... --&gt;
&lt;!-- Licensing - Images --&gt;
# Image sources and their copyright status are not clearly indicated
&lt;!-- Licensing - Presentation --&gt;
# A copyright license for the presentation is not clearly indicated
}}
-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 02:42, 10 November 2024 (UTC)

== AI slop ==

{{ping|Jtneill}} the image of the man with the magic glowing brain adds nothing to the resource and is anatomically incorrect to boot. Removing it is the best option. There is no need to replace it, at least not immediately. [[User:Dronebogus|Dronebogus]] ([[User talk:Dronebogus|discuss]] • [[Special:Contributions/Dronebogus|contribs]]) 01:24, 10 April 2026 (UTC)

:Feel free to suggest a better image -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 01:28, 10 April 2026 (UTC)
::There doesn’t have to be one. You are creating a false dichotomy between this image and a replacement when nothing is also preferable to this image. [[User:Dronebogus|Dronebogus]] ([[User talk:Dronebogus|discuss]] • [[Special:Contributions/Dronebogus|contribs]]) 01:29, 10 April 2026 (UTC)
:::I prefer an image in the Overview section because it is one of the requirement elements for the [[Motivation and emotion/Assessment/Chapter|Motivation and emotion book chapters]]. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 02:24, 10 April 2026 (UTC)
::::[[w:wp:IAR]] applies here [[User:Dronebogus|Dronebogus]] ([[User talk:Dronebogus|discuss]] • [[Special:Contributions/Dronebogus|contribs]]) 02:30, 10 April 2026 (UTC)
:::::How so? Images used on WMF project pages are the &quot;best&quot; anyone has created or found so far to help illustrate the shared knowledge. These images also serve as placeholders until better images become available. Editors can replace with better images any time, just as with improving text. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 02:45, 10 April 2026 (UTC)
::::::If you think it needs a top illustration then [[:File:Letargo.jpg]] at least resembles stereotypical dream imagery. [[User:Dronebogus|Dronebogus]] ([[User talk:Dronebogus|discuss]] • [[Special:Contributions/Dronebogus|contribs]]) 05:18, 10 April 2026 (UTC)
:::::::Thanks for the suggestion. I've used it instead. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 05:27, 10 April 2026 (UTC)</text>
      <sha1>16xy3cr0nmbrx25eovssi6a4a5laiec</sha1>
    </revision>
  </page>
  <page>
    <title>Module talk:Babel</title>
    <ns>829</ns>
    <id>308791</id>
    <revision>
      <id>2804118</id>
      <parentid>2658309</parentid>
      <timestamp>2026-04-10T09:01:39Z</timestamp>
      <contributor>
        <username>PieWriter</username>
        <id>3039865</id>
      </contributor>
      <comment>/* Edit request October 1 2024 */ Reply</comment>
      <origin>2804118</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="508" sha1="ops2pp9qat978c1hp9tz3evd3mro8ka" xml:space="preserve">== Edit request October 1 2024 ==

{{edit protected}}
Please add a &lt;code&gt;nocat&lt;/code&gt; parameter, similar to what is found on Wikipedia with the &lt;code&gt;[[:w:Module:Babel|showUserBox]]&lt;/code&gt; function. [[User:Tule-hog|Tule-hog]] ([[User talk:Tule-hog|discuss]] • [[Special:Contributions/Tule-hog|contribs]]) 15:45, 1 October 2024 (UTC)

:@[[User:Tule-hog|Tule-hog]] Done [[User:PieWriter|PieWriter]] ([[User talk:PieWriter|discuss]] • [[Special:Contributions/PieWriter|contribs]]) 09:01, 10 April 2026 (UTC)</text>
      <sha1>ops2pp9qat978c1hp9tz3evd3mro8ka</sha1>
    </revision>
    <revision>
      <id>2804119</id>
      <parentid>2804118</parentid>
      <timestamp>2026-04-10T09:01:49Z</timestamp>
      <contributor>
        <username>PieWriter</username>
        <id>3039865</id>
      </contributor>
      <comment>/* Edit request October 1 2024 */</comment>
      <origin>2804119</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="512" sha1="jn2zevmsa4ty6nj1vs1i3j7ow0spuni" xml:space="preserve">== Edit request October 1 2024 ==

{{tlf|edit protected}}
Please add a &lt;code&gt;nocat&lt;/code&gt; parameter, similar to what is found on Wikipedia with the &lt;code&gt;[[:w:Module:Babel|showUserBox]]&lt;/code&gt; function. [[User:Tule-hog|Tule-hog]] ([[User talk:Tule-hog|discuss]] • [[Special:Contributions/Tule-hog|contribs]]) 15:45, 1 October 2024 (UTC)

:@[[User:Tule-hog|Tule-hog]] Done [[User:PieWriter|PieWriter]] ([[User talk:PieWriter|discuss]] • [[Special:Contributions/PieWriter|contribs]]) 09:01, 10 April 2026 (UTC)</text>
      <sha1>jn2zevmsa4ty6nj1vs1i3j7ow0spuni</sha1>
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  </page>
  <page>
    <title>Palast says Trump lost, vote suppression won the 2024 elections</title>
    <ns>0</ns>
    <id>318683</id>
    <revision>
      <id>2803942</id>
      <parentid>2722707</parentid>
      <timestamp>2026-04-09T14:31:30Z</timestamp>
      <contributor>
        <username>DavidMCEddy</username>
        <id>218607</id>
      </contributor>
      <minor />
      <comment>typo</comment>
      <origin>2803942</origin>
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      <text bytes="11021" sha1="eofrev6vogyu1093wc9dknpve4dm002" xml:space="preserve">:''This is a discussion of a Zoom interview recorded 2025-02-06 with [[w:Greg Palast|Greg Palast]] about his claim that &quot;Trump lost, vote suppression won&quot; the 2024 US presidential election.&lt;ref name=Palast2025&gt;Palast (2025).&lt;/ref&gt; with a 29:00 mm:ss podcast excerpted from the companion video released to the fortnightly &quot;Media &amp; Democracy&quot; show&lt;ref name=M&amp;D&gt;&lt;!--Media &amp; Democracy--&gt;{{cite Q|Q127839818}}&lt;/ref&gt; syndicated for the [[w:Pacifica Foundation|Pacifica Radio]]&lt;ref&gt;&lt;!--Pacifica Radio Network--&gt;{{cite Q|Q2045587}}&lt;/ref&gt; Network of [[w:List of Pacifica Radio stations and affiliates|over 200 community radio stations]].&lt;ref&gt;&lt;!--list of Pacifica Radio stations and affiliates--&gt;{{cite Q|Q6593294}}&lt;/ref&gt;''

:''It is posted here to invite others to contribute other perspectives, subject to the Wikimedia rules of [[w:Wikipedia:Neutral point of view|writing from a neutral point of view]] while [[w:Wikipedia:Citing sources|citing credible sources]]&lt;ref name=NPOV&gt;The rules of writing from a neutral point of view citing credible sources may not be enforced on other parts of Wikiversity. However, they can facilitate dialog between people with dramatically different beliefs&lt;/ref&gt; and treating others with respect.&lt;ref name=AGF&gt;[[Wikiversity:Assume good faith|Wikiversity asks contributors to assume good faith]], similar to Wikipedia. The rule in [[w:Wikinews|Wikinews]] is different: Contributors there are asked to [[Wikinews:Never assume|&quot;Don't assume things; be skeptical about everything.&quot;]] That's wise. However, we should still treat others with respect while being skeptical.&lt;/ref&gt;'' 

[[File:Palast says Trump lost, vote suppression won.webm|thumb|Investigative journalist [[w:Greg Palast|Greg Palast]] discusses his claim that &quot;Trump lost, vote suppression won&quot; the 2024 US presidential election.]]
[[File:Palast says Trump lost, vote suppression won.ogg|thumb|29:00 mm:ss podcast of the interview recorded 2025-02-06 with Investigative journalist [[w:Greg Palast|Greg Palast]] regarding his claim that &quot;Trump lost, vote suppression won&quot; the [[w:2024 United States presidential election|2024 US presidential election]].]]

Investigative journalist [[w:Greg Palast|Greg Palast]] claims that [[w:Kamala Harris| Kamala Harris]] would have won the 2024 US presidential election without massive vote suppression by Republicans in many different States. He was interviewed by Spencer Graves.&lt;ref&gt;&lt;!--Spencer Graves--&gt;{{cite Q|Q56452480}}&lt;/ref&gt;  

== Greg Palast==

Palast is known for his investigative reports for ''[[w:The Guardian|The Guardian]]'' and his books including ''The Best Democracy Money Can Buy'' (2002);&lt;ref&gt;See also the documentary film with that title, Palast and Ambrose (2016).&lt;/ref&gt; ''Democracy and Regulation'' (2003); ''Armed Madhouse'' (2006, 2007), ''Vultures Picnic'' (2011); ''Billionaires and Ballot Bandits'' (2012); and ''How Trump Stole 2020'' (2020). He has also provided evidence for numerous lawsuits.&lt;ref&gt;The claim that Palast &quot;has also provided evidence for numerous lawsuits&quot; was confirmed by a search in  [https://www.courtlistener.com/recap/ &quot;RECAP archive&quot;] inside [https://www.courtlistener.com/ CourtListener.com] for &quot;Palast&quot; in &quot;all jurisdictions&quot;, following the procedure outlined in &quot;[[Researching US federal court documents]]&quot;. Such a search on 2025-02-10 returned 70 cases. The first was &quot;Palast v. Kemp (N.D. Ga. 2018) Docket Number: 1:18-cv-04809&quot;, which was filed by Greg Palast against [[w:Brian Kemp|Brian Kemp]] in his capacity as the 27th [[w:Georgia Secretary of State|Secretary of State of Georgia]]. Six more of the first ten cited investigations by Greg Palast; the remaining of the first ten seemed to cite others named &quot;Palast&quot;. Without reviewing all 70, this suggests that a large majority of those cases probably also involved Greg Palast either directly or indirectly. We also refined this search to the [[w:United States District Court for the Northern District of Georgia|Northern federal district of Georgia]] by clicking on &quot;Select Jurisdictions&quot; below &quot;Refine Your Query&quot; in the upper left, then clicked, &quot;Clear All&quot;, then &quot;Federal District&quot;, and &quot;N.D. Georgia&quot;, then &quot;Apply&quot; in the lower right. This identified six cases. The first was ''Palast v. Kemp'', mentioned above. The remaining five of those six were filed by other parties, with Grep Palast mentioned in the summary.&lt;/ref&gt; Some of this is discussed in a recent movie ''Vigilantes, Inc., America's new vote suppression hitmen'', 1:20 h:mm, which can be watched for free from his website, gregpalast.com.&lt;ref&gt;Scheen et al. (2025).&lt;/ref&gt; 

== Claim that &quot;Trump lost, vote suppression won&quot; ==

A 2025-02-07 article by [[w:Thom Hartmann|Thom Hartmann]] on [https://www.gregpalast.com/ gregpalast.com]&lt;ref&gt;&lt;!-- Greg Palast Investigative Journalism--&gt;{{cite Q|Q132194439}}&lt;/ref&gt; claims, &quot;Greg Palast proved that Jim Crow tactics cost Vice President Harris 3.56 million votes, four states—and the presidency.&quot;:&lt;ref&gt;Hartmann (2025).&lt;/ref&gt; &quot;If all legal voters were allowed to vote, if all legal ballots were counted, Trump would have lost the states of Wisconsin, Michigan, Pennsylvania and Georgia. Vice-President Kamala Harris would have won the Presidency with 286 electoral votes.&quot;&lt;ref name=Palast2025/&gt;

His claims include the following numbers: 
{|class=&quot;wikitable sortable&quot; 
|-
|style=&quot;text-align: right;&quot;|'''number'''
|style=&quot;text-align: right;&quot;|'''cum'''
|style=&quot;text-align: right;&quot;|'''% of total'''
|'''what'''
|-
|style=&quot;text-align: right;&quot;|4,776,706
|style=&quot;text-align: right;&quot;|4,776,706
|style=&quot;text-align: right;&quot;|40.01%
|voters wrongly purged from voter rolls according to US Elections Assistance Commission
|-
|style=&quot;text-align: right;&quot;|2,121,000
|style=&quot;text-align: right;&quot;|6,897,706
|style=&quot;text-align: right;&quot;|17.77%
|mail-in ballots were disqualified for minor clerical errors (e.g. postage due)
|-
|style=&quot;text-align: right;&quot;|585,000
|style=&quot;text-align: right;&quot;|7,482,706
|style=&quot;text-align: right;&quot;|4.90%
|ballots cast in-precinct were also disqualified.
|-
|style=&quot;text-align: right;&quot;|1,216,000
|style=&quot;text-align: right;&quot;|8,698,706
|style=&quot;text-align: right;&quot;|10.19%
|“provisional” ballots were rejected, not counted.
|-
|style=&quot;text-align: right;&quot;|3,240,000
|style=&quot;text-align: right;&quot;|11,938,706
|style=&quot;text-align: right;&quot;|27.14%
|new registrations were rejected or not entered on the rolls in time to vote.
|}

Unfortunately, it's not obvious how Palast got from these and other claims to his final conclusions. We get close to his numbers by assuming that Harris got 65% of the 12 million suppressed votes and Trump got the rest: 

{| class=&quot;wikitable&quot;
|style=&quot;text-align: right;&quot;|'''Trump'''
|style=&quot;text-align: right;&quot;|'''Harris'''
|style=&quot;text-align: right;&quot;|'''Trump margin of victory'''
|-
|style=&quot;text-align: right;&quot;|77,302,580
|style=&quot;text-align: right;&quot;|75,017,613
|style=&quot;text-align: right;&quot;|2,284,967
|-
| colspan=&quot;3&quot; rowspan=&quot;1&quot; | new vote totals
| colspan=&quot;3&quot; rowspan=&quot;1&quot; |additional votes if all disfranchised votes had been cast and counted
|-
|style=&quot;text-align: right;&quot;|Trump
|style=&quot;text-align: right;&quot;|Harris
|style=&quot;text-align: right;&quot;|Trump margin of victory
|style=&quot;text-align: right;&quot;|Trump
|style=&quot;text-align: right;&quot;|Harris
|style=&quot;text-align: right;&quot;|% for Harris
|-
|style=&quot;text-align: right;&quot;|83,271,933
|style=&quot;text-align: right;&quot;|80,986,966
|style=&quot;text-align: right;&quot;|2,284,967
|style=&quot;text-align: right;&quot;|5,969,353
|style=&quot;text-align: right;&quot;|5,969,353
|style=&quot;text-align: right;&quot;|50%
|-
|style=&quot;text-align: right;&quot;|82,078,062
|style=&quot;text-align: right;&quot;|82,180,837
|style=&quot;text-align: right;&quot;| -102,774
|style=&quot;text-align: right;&quot;|4,775,482
|style=&quot;text-align: right;&quot;|7,163,224
|style=&quot;text-align: right;&quot;|60%
|-
|style=&quot;text-align: right;&quot;|81,481,127
|style=&quot;text-align: right;&quot;|82,777,772
|style=&quot;text-align: right;&quot;| -1,296,645
|style=&quot;text-align: right;&quot;|4,178,547
|style=&quot;text-align: right;&quot;|7,760,159
|style=&quot;text-align: right;&quot;|65%
|-
|style=&quot;text-align: right;&quot;|80,884,192
|style=&quot;text-align: right;&quot;|83,374,707
|style=&quot;text-align: right;&quot;| -2,490,515
|style=&quot;text-align: right;&quot;|3,581,612
|style=&quot;text-align: right;&quot;|8,357,094
|style=&quot;text-align: right;&quot;|70%
|}
Sadly, it is not obvious where Palast got his numbers. [[w:David Pakman|David Pakman]] notes that Palast does not adequately document how he got his numbers, saying that Palast's conclusions do not hold if some sources are replaced by others that Pakman claims are more credible.&lt;ref&gt;Pakman (2025).&lt;/ref&gt; Unfortunately, it's not obvious where Pakman got his numbers, either.

== The threat == 

Internet company executives have knowingly increased political polarization and violence including the [[w:Rohingya genocide|Rohingya genocide]] in [[w:Myanmar|Myanmar]], because doing otherwise might have reduced their profits. Documentation of this is summarized in [[:Category:Media reform to improve democracy]], especially &quot;[[Facebook whistleblower Frances Haugen says]]&quot;. 

==Discussion == 

:''[Interested readers are invite to comment here, subject to the Wikimedia rules of [[w:Wikipedia:Neutral point of view|writing from a neutral point of view]] [[w:Wikipedia:Citing sources|citing credible sources]]&lt;ref name=NPOV/&gt; and treating others with respect.&lt;ref name=AGF/&gt;]''

== Notes ==
{{reflist}}
== Bibliography ==

* &lt;!--Thom Hartmann (2025) The Voting Trickery That Elected Trump--&gt;{{cite Q|Q132197019}}
* &lt;!--David Pakman (2025) &quot;CLAIM: MILLIONS of votes stolen by Trump, KAMALA WON&quot;, YouTube--&gt;{{cite Q|Q132200362}}
* &lt;!--Greg Palast (2002) The Best Democracy Money Can Buy (Pluto; 211 pgs)--&gt;{{cite Q|Q7716706}}  
* &lt;!--Greg Palast (2006) Armed madhouse : who's afraid of Osama Wolf?, China floats, Bush sinks, the scheme to steal '08, no child's behind left, and other dispatches from the front lines of the class war--&gt;{{cite Q|Q132171374}}
* &lt;!--Greg Palast (2007) Armed madhouse : from Baghdad to New Orleans : sordid secrets &amp; strange tales of a White House gone wild (Dutton; 402 pgs)--&gt;{{cite Q|Q132171391}} 
* &lt;!--Greg Palast (2011) Vultures' Picnic (Dutton; 411 pgs)--&gt;{{cite Q|Q132171420}}
* &lt;!--Greg Palast (2012) (2012) Billionaires and Ballot Bandits: How to Steal an Election in 9 Easy Steps (Seven Stories Press)--&gt;{{cite Q|Q132194734}}
* &lt;!--Greg Palast (2020) How Trump Stole 2020--&gt;{{cite Q|Q132194786}} 
* &lt;!--Greg Palast (2025) &quot;Trump Lost. Vote Suppression Won&quot;, Greg Palast Investigative Journalism--&gt;{{cite Q|Q132194420}}
* &lt;!--Greg Palast and David Ambrose (2016) The Best Democracy Money Can Buy: A Tale of Billionaires &amp; Ballot Bandits (Seven Stories Press)--&gt;{{cite Q|Q26913633|author=Greg Palast and David Ambrose}}
* &lt;!-- Palast, Oppenheim and MacGregor (2003) Democracy and Regulation--&gt;{{cite Q|Q132171022}}
* &lt;!-- Martin Scheen, Greg Palast, and Rosario Dawson (2025) Vigilantes Inc., America’s New Vote Suppression Hitmen--&gt;{{cite Q|Q132199026|author=Martin Scheen (Exec. Prod.), Greg Palast (text), and Rosario Dawson (narration)}}

[[Category:Politics]]
[[Category:Media reform to improve democracy]]</text>
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      <text bytes="29956" sha1="5ytxa02r98ljpmswneg3b2y2k61zsnh" xml:space="preserve">{{title|Sleep and ego depletion:&lt;br&gt;How does sleep affect the capacity for self-control and willpower?}}
__TOC__

==Overview==
{{RoundBoxTop|theme=2}}
[[File:Female student writing and studying at dorm room desk.jpg|thumb|'''Figure 1.''' Student studying at night in her dorm room.|300px]]

;Imagine this ...

You've finally sat down to complete that assignment, the night before it's due (see Figure 1). You've left it all to the last minute, so you decide your only option is to pull an all-nighter and get it done. You're drinking energy drinks all night, researching and writing. The next day, even though you finished the assignment, you find yourself snacking more, snapping at people, and eating take-away all day rather than any of the food in the fridge. What happened? You finished the assignment, so you should be feeling good, right? Why does poor sleep seem to erode our self-control?

{{RoundBoxBottom}}

[[wikipedia:Self-control|Willpower]] is a limited, fragile resource, and our ability to regulate behaviour often feels inconsistent. Some days {{g}} temptation can be resisted with ease, while on others even small challenges feel impossible. Understanding why self-control fluctuates is critical for managing everyday decisions, from maintaining healthy habits to making ethical choices at work. This chapter explores [[wikipedia:Ego_depletion|ego depletion]], the theory that self-control operates like a finite mental resource: exerting willpower depletes it, making subsequent tasks more difficult. Like a tired muscle, self-control can recover with rest, but repeated exertion and insufficient recovery can leave individuals more vulnerable to impulsive or risky behaviour.

Sleep plays a central role in restoring this mental resource. Far from being passive, sleep actively replenishes brain regions responsible for attention, decision-making, and [[wikipedia:Inhibitory_control|impulse control]], particularly the [[wikipedia:Prefrontal_cortex|prefrontal cortex]]. Poor sleep accelerates depletion, reduces persistence, and increases susceptibility to impulsive and unethical behaviours. Biological factors, such as disrupted [[wikipedia:Carbohydrate_metabolism|glucose metabolism]], and psychological factors, such as cognitive fatigue, further explain this link. While capacity is important, [[wikipedia:Motivation|motivation]], perceived agency, and reflective strategies can buffer depletion, highlighting that self-control is dynamic and modifiable. This chapter examines these mechanisms, integrating theory, neuroscience, and practical strategies to help individuals sustain willpower in real-world contexts.

{{RoundBoxTop|theme=1}}
;Focus questions

# What is ego depletion?
# How does sleep quantity and quality affect self-control?
# What mechanisms explain the link between sleep loss and unethical or impulsive behaviour?
# What strategies can we use to buffer the effects of sleep-related ego depletion?
{{RoundBoxBottom}}

==What is ego depletion?==
Self-control is one of the most important skills humans rely on, yet it often feels fragile and fleeting. Why is it that temptations can be resisted in one moment but feel impossible the next? The theory of ego depletion offers one explanation, proposing that willpower is a limited resource that can be used up over time. This section introduces the origins of the idea, how it has been tested and debated in modern psychology, and why understanding self-control is essential for everyday decision-making, from resisting snacks to maintaining ethical standards at work.

===Definition and origins of ego depletion===
[[File:Sigmund Freud LIFE.jpg|thumb|'''Figure 2.''' Picture of classical psychologist Sigmund Freud, proponent of psychoanalysis. ]]

The idea of ego depletion traces back to classical psychology but has since been refined into a modern framework for understanding willpower. [[wikipedia:Sigmund_Freud|Sigmund Freud]]’s (Figure 2) [[wikipedia:Psychoanalysis|psychoanalytic theory]] described the ego as a mediator between our primal drives (the id) and moral conscience (the superego). His “horse and rider” analogy captured the idea that the ego expends mental energy to guide behaviour, and that this energy can be depleted with effort.{{f}}

Although Freud’s theories lacked empirical evidence, his concept of energy expenditure laid the groundwork for later models of self-regulation. Building on this metaphor, ego depletion has been refined into a process in which acts of willpower consume a finite pool of psychological resources (Baumeister et al., 1998). Persistence is hindered by prior psychological effort. 

===The strength model of self-control and the 'muscle' analogy===
This concept of prior efforts impacting future attempts at self-control sounds a lot like fatigue in muscles, which is where the strength model of self-control has developed. Just as muscles tire with repeated use, self-control weakens when repeatedly exerted, leading to poorer performance on later tasks (Hagger et al., 2010). This depletion appears across many behaviours, from eating and spending to risky or unethical actions. Like muscles, willpower can recover with rest and may even be trained to grow stronger{{f}}. Resisting distractions, avoiding unhealthy foods, or suppressing irritation all draw from the same pool of mental “strength.”

===Evidence for and against the ego depletion effect=== 
Despite its appeal, the ego depletion model has faced scrutiny during psychology’s [[wikipedia:Replication_crisis|replication crisis]]. Many critics of the theory (e.g., Carter &amp; McCullough, 2014; Inzlicht &amp; Schmeichel, 2012) question the robustness of the effect, with some suggesting that motivational shifts, not genuine resource depletion, explain the observed patterns. This debate asks whether the theory explains the true causes of behaviour or merely describes observations. Nonetheless, the consensus of psychological research in this area (e.g., Dang et al., 2020; Baumeister et al., 2024) confirm that some sort of psychological depletion does occur and has a meaningful impact on day-to-day actions. 

===Importance of self-control in daily life, ethics, and decision-making===
Regardless of the debates, ego depletion offers a valuable lens for understanding everyday challenges. Consider the dieter who resists cookies on Monday but succumbs by Friday, after a week of stress and exertion. Or the student who pushes through hours of focused study only to procrastinate later in the evening. Such experiences highlight how self-control is not infinite, and how depletion can shape behaviour across health, work, and relationships.

Self-control is also central to ethical and responsible decision-making. Fatigue from exerting willpower can increase impulsivity, reduce moral awareness, and heighten the risk of cutting corners{{f}}. By recognising the conditions that drain or restore capacity for self-control, ego depletion theory connects psychological research with practical strategies for living healthier, more disciplined, and ethically consistent lives.

{{RoundBoxTop|theme=2}}
[[File:Cheeky Cookie.png|thumb|'''Figure 3.''' Woman eating a cookie from the pantry while looking guilty.]]

;The limits of willpower

Imagine you have committed to a week-long “sugar-free cleanse.” On Monday, you feel motivated and confident. The cookies in the cupboard catch your eye, but you resist the urge: your willpower is fresh and you easily stay on track. As the week wears on, though, the small daily challenges begin to add up: work deadlines, school pickups, errands, and fatigue. By Friday evening, the cookies are still in the same place they were on Monday, but now they seem impossible to ignore. After a week of exerting self-control in so many areas of life, you finally give in and eat the entire packet (see Figure 3).

This captures the essence of ego depletion: self-control, like a muscle, tires with repeated use. Resisting feels easy at first, but persistence weakens over time. Ego depletion suggests that willpower fluctuates with prior effort, explaining why resisting the cookie jar is harder at week’s end than at the start.
{{RoundBoxBottom}}

===Summary===
* Willpower functions like a limited resource that can be depleted with repeated use.
* Self-control resembles a muscle: it tires with use but can recover with rest.
* The ego depletion effect is debated: some evidence strongly supports it, while other studies highlight publication bias or motivational alternatives.

==Sleep, self-regulation, and ego depletion==
Sleep is not simply a period of rest; it is a critical biological process that restores the brain’s capacity for attention, impulse control, and ethical decision-making. When sleep is sufficient, self-control is replenished, allowing individuals to regulate behaviour effectively. When sleep is insufficient, the very systems that support willpower falter, accelerating ego depletion and making lapses in judgement, impulsivity, and unethical behaviour far more likely. This section examines the neuroscience of sleep and self-control, the evidence from laboratory and field studies, and the mechanisms that explain why sleep loss undermines willpower.

===Neuroscience of sleep and self-control===
During sleep, the brain reorganises neural activity, recalibrates synaptic connections, and replenishes energy stores. This restorative process is especially important for the prefrontal cortex, the region responsible for decision-making, emotional regulation, and the suppression of impulses. Within this area, the [[wikipedia:Dorsolateral_prefrontal_cortex|dorsolateral prefrontal cortex]] supports working memory and planning, while the [[wikipedia:Ventromedial_prefrontal_cortex|ventromedial prefrontal cortex]] evaluates rewards and regulates emotional responses.{{f}}

When sleep is disrupted, these regions lose efficiency, leading to poorer attention, weaker inhibitory control, and reduced moral awareness. Even one night of insufficient sleep can impair judgment, making it harder to prioritise, resist temptations, or consider the ethical consequences of actions{{f}}. Chronic deprivation compounds these deficits, creating long-term vulnerabilities in self-regulation{{f}}. Recent work has even shown that directly stimulating the DLPFC improves self-control, highlighting the central role of this region in regulatory strength (Lin &amp; Feng, 2024).

===Evidence from laboratory and field research===
Both experimental and workplace research consistently demonstrate the link between poor sleep and diminished self-control{{f}}. Individuals who are sleep-deprived persist for less time on challenging tasks, act more impulsively, and are more likely to cut ethical corners{{f}}. In professional contexts, employees who sleep poorly are more prone to deviant behaviour, unethical decision-making, and reduced persistence in the face of difficulty (Barnes et al., 2011; Welsh et al., 2018). Broader studies of sleep patterns confirm this trend, with disrupted or insufficient sleep predicting significantly lower self-regulation across both laboratory and field settings (Sen &amp; Tai, 2023).

===Mechanisms linking sleep loss to ego depletion===
Several mechanisms explain why sleep deprivation erodes self-control:
* '''Cognitive fatigue:''' Just as muscles weaken with repeated use, the brain fatigues when deprived of rest. Fatigued individuals struggle to sustain attention, monitor errors, and regulate behaviour, leaving them vulnerable to impulsive or unethical actions (Barnes et al., 2011).
* '''Impaired [[wikipedia:Executive_functions|executive functioning]]:''' Restricted sleep reduces the brain’s ability to plan, evaluate risks, and suppress inappropriate impulses. Decision-making becomes short-sighted, with a preference for immediate rewards over long-term goals (Welsh et al., 2018).
* '''Reduced moral awareness:''' Under-rested brains are less able to recognise the ethical implications of behaviour, increasing the likelihood of dishonesty, aggression, or lapses in judgment (Welsh et al., 2018).
* '''Disrupted glucose metabolism:''' The brain relies on glucose as its primary energy source. Poor sleep disrupts glucose regulation and increases cravings for high-sugar foods, destabilising the very fuel required for sustained self-control (Gailliot &amp; Baumeister, 2007).

Together, these processes illustrate how inadequate sleep both accelerates the depletion of willpower and undermines the biological systems needed to restore it.

===Quiz===
&lt;quiz display=simple&gt;
{Which brain region is most affected by sleep deprivation in relation to self control?:
|type=&quot;()&quot;}
- Hippocampus
- Amygdala
+ Prefrontal cortex
- Cerebellum

{Sleep primarily helps restore self-control by:
|type=&quot;()&quot;}
- Increasing glucose levels in muscles
+ Reorganising neural activity in regulatory brain regions
- Raising adrenaline and cortisol levels
- Strengthening motor coordination
&lt;/quiz&gt;

==Beyond capacity: Motivation and effort in self-control==
While early theories of ego depletion emphasised willpower as a finite resource, newer perspectives argue that self-control is more dynamic. The ability to regulate behaviour is not only about how much “capacity” is left but also about levels of motivation and effort that are invested. This section introduces an integrative model of self-control that highlights the roles of capacity, motivation, and effort, explores how perceived power and contemplation can buffer depletion, and outlines practical strategies to strengthen self-regulation even when mental resources are low.

===An integrative model of self-control: capacity, motivation, and effort===
While ego depletion research often emphasises capacity, the size of the self-control “reservoir”, other scholars have highlighted that willpower is not solely determined by available resources. Kotabe and Hofmann (2015) proposed an integrative model of self-control that organises seven components: desire, higher-order goals, desire-goal conflict, control motivation, control capacity, control effort, and enactment constraints.

In this model, moments of self-control emerge from the interplay between what one wants in the moment (desire) and what one values in the long run (higher-order goals). When these are in conflict, the strength of control motivation and the resources of control capacity interact to determine how much effort individuals are willing and able to invest. In practice, this means that even when resources are depleted, behaviour is not predetermined: strong motivation or strategic effort can still tip the balance toward self-control.

===The moderating role of perceived power on depletion effects===
Motivation is one factor that can counteract depletion, and perceived power appears to be especially influential. Power here refers not only to authority over others but also to a subjective sense of agency and confidence in one’s ability to shape outcomes. Welsh et al. (2018) found that individuals who felt powerful were more resilient to the effects of sleep-related depletion, demonstrating greater capacity to resist unethical behaviour even when fatigued. This finding reflects everyday experience: when someone feels capable and in control, such as a teacher leading a classroom or a nurse making critical decisions, they may summon the energy to regulate their behaviour despite being tired. Conversely, those who feel powerless or lacking agency often experience stronger depletion effects, making lapses in self-control more likely.

===Contemplation as a 'speed bump' to unethical behaviour under depletion===
Another moderator identified by Welsh et al. (2018) is contemplation. Pausing to reflect before making a decision reduced unethical behaviour even among depleted individuals. In other words, contemplation acted as a “speed bump,” slowing automatic impulses long enough for ethical standards to come back into play. This insight is important because it shifts the focus from trying to preserve a limited resource toward developing strategies that disrupt impulsive decision-making. A short pause, whether through [[wikipedia:Mindfulness|mindfulness]], self-questioning, or deliberate reflection, can help individuals override momentary impulses and choose actions aligned with their values.

===Practical interventions targeting motivation and effort===
Recognising that self-control depends on more than just capacity opens the door to a range of interventions{{f}}. For example:
* Boosting motivation: connecting short-term choices to meaningful long-term goals, or using [[wikipedia:Implementation_intention|implementation intentions]] (“If X happens, then I will do Y”) to strengthen resolve.
* Harnessing power and agency: fostering environments where people feel effective and autonomous may buffer depletion.
* Encouraging contemplation: practices such as mindfulness, reflective journaling, or structured decision-making can reduce impulsivity under fatigue.
* Reframing effort: viewing effort as investment in growth rather than as burden increases willingness to persist.
Together, these findings illustrate that depletion is not destiny. While capacity matters, motivation and effort can extend self-control beyond what the resource model alone predicts. By incorporating these additional factors, the integrative model offers a more practical understanding of how people sustain willpower in demanding circumstances.

===Summary===
* Self-control depends on motivation and effort as well as capacity.
* Feeling powerful can buffer depletion, while a lack of agency amplifies it.
* Pausing to reflect (contemplation) is a simple strategy that reduces unethical behaviour when depleted.

==Real-life implications==
The connection between sleep, self-control, and ego depletion is not confined to the laboratory. It plays out daily in workplaces, households, and health behaviours, shaping how people make decisions, manage stress, and maintain discipline. When self-control is drained, especially under conditions of sleep loss, the consequences can be far-reaching, from ethical lapses and safety risks at work to difficulties sustaining healthy habits at home. This section explores these real-world outcomes, highlighting both the risks of depletion and the strategies individuals and organisations can use to buffer against its effects.

===Workplace consequences: decision fatigue, ethical lapses, and reduced safety===
Ego depletion and sleep loss have profound implications in the workplace. Employees face long hours, high demands, and constant decision-making, which can result in [[wikipedia:Decision_fatigue|decision fatigue]], in which the quality of decisions deteriorates after extended self-control. Sleep-deprived workers are more likely to cut corners, behave unethically, and make risky choices (Barnes et al., 2011; Welsh et al., 2018). {{f}}The safety risks are particularly serious. Fatigue-related errors have been implicated in transportation, healthcare, and manufacturing accidents{{f}}. A surgeon operating after an overnight shift or a truck driver pushing through fatigue may have impaired judgment, attention, and impulse control, turning depletion into a life-or-death issue.

===Health behaviours and lifestyle choices===
Beyond the workplace, ego depletion influences health behaviours. Maintaining a diet, adhering to exercise routines, or managing chronic illness all demand consistent self-control. Sleep deprivation undermines these efforts by accelerating depletion and weakening resistance to temptation. Tired individuals are more likely to choose convenient, high-calorie foods over cooking, or to skip exercise with the justification of being “too exhausted.” Over time, this creates a cycle: poor sleep worsens self-control, leading to unhealthy choices, which in turn can further disrupt sleep quality. This cycle highlights how tightly interconnected sleep, self-control, and health are.{{f}}

[[File:Depiction of a person suffering from Insomnia (sleeplessness) (cropped).png|thumb|'''Figure 4.''' Most people relate to 'going to bed' but then scrolling their phones for hours before actually falling asleep. This is a major concern for sleep hygiene|right|200px]]

===Strategies for mitigating depletion===
Not all outcomes are negative: research also points to buffers against depletion. Positive mood can restore regulatory capacity, while both intrinsic and extrinsic motivation help sustain effort when resources are low. Structured rest breaks, including short naps or micro-breaks, also allow self-control resources to recover.{{f}}

Practical strategies exist at both the individual and organisational level. Personally, people can improve sleep hygiene (see Figure 4), set realistic goals, and use mindfulness or reflection to slow down impulsive responses. Organisationally, structuring work schedules to allow adequate rest, promoting regular breaks, and modelling healthy behaviours help reduce depletion’s impact. Together, these approaches demonstrate that while depletion is real, it is not destiny: there are effective ways to sustain willpower in demanding environments.{{f}}

==Conclusion==
This chapter, from theory to application, has traced how ego depletion explains the fragility of willpower and how sleep plays a decisive role in sustaining or undermining self-control. Bringing together the main evidence and answering the chapter’s guiding focus questions, the strengths and weaknesses of the research have been evaluated, and practical lessons for everyday life and work were discussed.

Across this chapter, the discussion has explored how ego depletion theory provides a framework for understanding the limits of self-control and how sleep plays a central role in replenishing or undermining this capacity. Insufficient sleep accelerates depletion, reducing persistence, increasing impulsivity, and heightening the likelihood of unethical behaviour (Barnes et al., 2011; Welsh et al., 2018). Neuroscientific findings highlight the importance of the prefrontal cortex in regulatory processes (Lin &amp; Feng, 2024), while biological work points to disrupted glucose metabolism as another pathway linking fatigue to diminished willpower (Gailliot &amp; Baumeister, 2007). Together, this body of evidence underscores that self-control is not solely a matter of “trying harder” but is fundamentally tied to biological and psychological states.

;Answers to the focus questions
* '''What is ego depletion?'''&lt;br&gt;Ego depletion refers to the temporary reduction in self-control capacity following prior exertion of willpower (Baumeister et al., 1998). Like a muscle, self-control fatigues with use but can recover with rest.
* '''How does sleep quantity and quality affect self-control?'''&lt;br&gt;Sleep restores the brain’s regulatory functions. Poor sleep impairs the prefrontal cortex, accelerates depletion, and reduces the effectiveness of self-control (Sen &amp; Tai, 2023).
* '''What mechanisms explain the link between sleep loss and unethical or impulsive behaviour?'''&lt;br&gt;Cognitive fatigue, impaired executive functioning, reduced moral awareness, and disrupted glucose metabolism jointly explain why sleep-deprived individuals are more impulsive and prone to lapses.
* '''What strategies can we use to buffer the effects of sleep-related ego depletion?'''&lt;br&gt;Strategies include ensuring adequate sleep, using breaks to restore resources, leveraging motivation and perceived power, and adopting practices such as contemplation and mindfulness to slow impulsive actions (Welsh et al., 2018).

;Strengths and weaknesses of the current research
Ego depletion theory has generated wide interest, but its empirical foundation has been debated. Replication concerns (Carter &amp; McCullough, 2014; Inzlicht &amp; Schmeichel, 2012) highlight that the effect may be smaller and more context-dependent than originally thought. Recent multilab efforts, however, provide evidence for a real, albeit modest, effect (Dang et al., 2020). A strength of the literature is its interdisciplinary scope, integrating psychology, neuroscience, and organisational behaviour. Yet gaps remain: many studies rely on short-term tasks, leaving open questions about chronic depletion, real-world complexity, and individual differences in resilience.

;Future directions: moving beyond capacity-only models
Future research must continue to refine ego depletion theory by integrating insights from motivational and process-based accounts. Kotabe and Hofmann’s (2015) integrative model suggests that motivation and effort play as crucial a role as capacity, highlighting the importance of agency, context, and reflective strategies. Similarly, longitudinal research could clarify how chronic sleep loss interacts with self-control over weeks or months, rather than just hours. Emerging work on protective factors, such as positive mood, social support, and structured recovery routines, also points toward more optimistic models of resilience.

;Practical takeaways for sustaining willpower
For individuals, the lesson is clear: willpower is not infinite, and sleep is one of the most effective ways to restore it. Rather than relying solely on grit, people can make small, sustainable adjustments to protect self-control capacity. Simple actions, like turning off screens before bed, keeping the phone out of reach, or pausing reflectively during stress, can make a tangible difference. For organisations, the implication is equally important. Encouraging breaks, designing humane shift schedules, and modelling healthy sleep practices can reduce costly lapses in judgment and promote ethical, effective decision-making.

Ultimately, the answer to this chapter’s central question, &quot;why does poor sleep seem to erode our self-control?&quot;, is that sleep is the foundation on which willpower rests. Without it, even the strongest intentions falter. With it, individuals are better equipped to resist temptation, act ethically, and pursue long-term goals.

==See also==
* [[wikipedia:Id,_ego_and_superego|Id, ego and superego]] (Wikipedia)
* [[Motivation and emotion/Book/2025/Self-control and ego depletion recovery|Self-control and ego depletion recovery]] (Book chapter, 2025)
* [[Motivation and emotion/Book/2024/Sleep and ego depletion|Sleep and ego depletion]] (Book chapter, 2024)
* [[wikipedia:Sleep_hygiene|Sleep hygiene]] (Wikipedia)

==References==
{{Hanging indent|1=

Barnes, C. M., Schaubroeck, J., Huth, M., &amp; Ghumman, S. (2011). Lack of sleep and unethical conduct. ''Organizational Behavior and Human Decision Processes'', ''115''(2), 169–180. https://doi.org/10.1016/j.obhdp.2011.01.009

Baumeister, R. F., André, N., Southwick, D. A., &amp; Tice, D. M. (2024). Self-control and limited willpower: Current status of ego depletion theory and research. ''Current Opinion in Psychology'', ''60'', 101882. https://doi.org/10.1016/j.copsyc.2024.101882

Baumeister, R. F., Bratslavsky, E., Muraven, M., &amp; Tice, D. M. (1998). Ego depletion: Is the active self a limited resource? ''Journal of Personality and Social Psychology'', ''74''(5), 1252–1265. https://doi.org/10.1037/0022-3514.74.5.1252

Carter, E. C., &amp; McCullough, M. E. (2014). Publication bias and the limited strength model of self-control: has the evidence for ego depletion been overestimated?. ''Frontiers in Psychology'', ''5'', 823. https://doi.org/10.3389/fpsyg.2014.00823

Dang, J., Barker, P., Baumert, A., Bentvelzen, M., Berkman, E., Buchholz, N., Buczny, J., Chen, Z., De Cristofaro, V., de Vries, L., Dewitte, S., Giacomantonio, M., Gong, R., Homan, M., Imhoff, R., Ismail, I., Jia, L., Kubiak, T., Lange, F., … Zinkernagel, A. (2020). A Multilab Replication of the Ego Depletion Effect. ''Social Psychological and Personality Science'', ''12''(1), 14–24. https://doi.org/10.1177/1948550619887702

Gailliot, M. T., &amp; Baumeister, R. F. (2007). The physiology of willpower: Linking blood glucose to self-control. ''Personality and social psychology review'', ''11''(4), 303–327. https://journals.sagepub.com/doi/10.1177/1088868307303030

Hagger, M. S., Wood, C., Stiff, C., &amp; Chatzisarantis, N. L. (2010). Ego depletion and the strength model of self-control: A meta-analysis. ''Psychological Bulletin'', ''136''(4), 495. https://psycnet.apa.org/doi/10.1037/a0019486

Inzlicht, M., &amp; Schmeichel, B. J. (2012). What is ego depletion? Toward a mechanistic revision of the resource model of self-control. ''Perspectives on Psychological Science'', ''7''(5), 450–463. https://doi.org/10.1177/1745691612454134

Kotabe, H. P., &amp; Hofmann, W. (2015). On [[w382

Lin, Y., &amp; Feng, T. (2024). Lateralization of self-control over the dorsolateral prefrontal cortex in decision-making: a systematic review and meta-analytic evidence from noninvasive brain stimulation. ''Cognitive, Affective, &amp; Behavioral Neuroscience'', ''24''(1), 19–41. https://doi.org/10.3758/s13415-023-01148-7

Sen, A., &amp; Tai, X. Y. (2023). Sleep Duration and Executive Function in Adults. ''Current neurology and neuroscience reports'', ''23''(11), 801–813. https://doi.org/10.1007/s11910-023-01309-8

Welsh, D. T., Mai, K. M., Ellis, A. P., &amp; Christian, M. S. (2018). Overcoming the effects of sleep deprivation on unethical behavior: An extension of integrated self-control theory. ''Journal of Experimental Social Psychology'', ''76'', 142–154. https://doi.org/10.1016/j.jesp.2018.01.007

}}

==External links==
* [https://www.apa.org/topics/personality/willpower A detailed discussion of willpower] (APA)
* [https://www.sleephealthfoundation.org.au/ The importance of sleep hygiene and tips to improve sleep] (Sleep Health Foundation)
* [https://www.youtube.com/watch?v=dgRSfhoHE4g Dr. K Explains: The Science of Self Control]

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==Overview==
{{robelbox|theme=5|title=Imagine this ...|iconwidth=55px|icon=Crystal_Clear_app_kdict.png}}
[[File:Abstract Boredom SubstanceUse Picture.png|thumb|170px|'''Figure 1'''. Bored student, thinking about engaging in substance use.]]

&lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
You are a university student who has three back-to-back tutorials in one day. Each tutorial requires you to engage in class discussions and take notes. You thoroughly enjoy the first class; your tutor is exciting and all other students are passionate about the content, so you find it very enjoyable and easy to engage with. However, as the day drags on, your attention slips, your motivation to take notes decreases, and you go for breaks more often to have a cigarette (see Figure 1).{{ic|Explain more about the drug use here}}

This is boredom. Everyone has experienced boredom at some point in their life, and responses to feeling bored vary among individuals. It can become serious if this state of boredom impacts your learning and functioning in everyday life. In this case, boredom is impacting your learning and functioning, {{g}} you are unable to sit and focus in several classes without needing several breaks.
&lt;/div&gt; 
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This chapter explains how boredom motivates substance use. [[w:Boredom|Boredom]] is a psychological state which can motivate seeking excitement and attention. This can be problematic when other external and internal factors come into play, leading to high risk behaviours such as [[wikipedia:Substance_abuse|substance misuse]] (Bench &amp; Lench, 2019). Around 91-98% of youth experience boredom in their daily lives (Chin et al., 2017). Additionally, 47% of individuals 14 years and over report using an illicit drug as some point in their lives (Australian Institute of Health and Welfare, 2025) {{ic|Target an international audience; Australia represents 0.3% of the human population}}. Through this chapter, understanding why boredom arises will be beneficial in knowing how to handle it effectively and positively.    

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'''Focus questions'''

* What are the psychological theories about boredom? 
* What are the psychological theories behind substance use?
* What is the role of boredom in substance use?
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== The psychology of boredom ==
&lt;blockquote&gt;''“Boredom: the desire for desires”'' &lt;small&gt;Tolstoy (1902/2013)&lt;/small&gt;&lt;/blockquote&gt;

Boredom is a universal human experience of desiring to engage in meaningful stimuli, but not being able to do so{{f}}. This emotion can arise from internal and external factors. Some individuals are more prone to experiencing it due to age, maturity or disposition. While boredom is often seen as trivial, it plays an important psychological role as it is linked to maladaptive issues such as attentional difficulties, unresolved internal conflicts and monotonous tasks. However, it also serves an adaptive function by motivating individuals to seek new goals and more meaningful engagement (Eastwood et al., 2012; Caldwell et al., 1999; Eplidorou, 2023; Ndetei et al., 2023). 

=== Definition of boredom ===
Boredom is a negative emotional state of individuals seeking engagement with stimuli of interest, although the environment prevents this from occurring (Eastwood et al., 2012). Attentional theories suggest that some environments are under stimulating which impacts an individual's ability to focus (see Figure 2) (Westgate, 2020). Boredom may be perceived as unimportant; however, it can be argued that boredom allows for individuals to reignite [[motivation]] to pursue different [[Goal Setting Process|goals]] (Bench &amp; Lench, 2013).

[[File:Collage_of_bored_students.png|thumb|'''Figure 2.''' Collage of varying students that are all displaying states of boredom in class.]]

=== Causes of boredom ===
There are two types of boredom, “endogenous” and “reactive” boredom{{f}}. Endogenous boredom refers to what comes from within, it is also known as person-based state boredom (Mercer-Lynn et al., 2014). An example of this is if an individual is at work and they have increasing amounts of engaging tasks but they are still bored due to an internal sense of detachment and meaninglessness. Reactive boredom is the opposite of endogenous boredom, as it refers to a state of boredom that is brought on by the environment, also referred to as situation-based state boredom (Mercer-Lynn et al., 2014). An example would be if you are in class where the teacher is presenting a lecture on a topic you are uninterested in, it goes on for ages and is highly monotonous (see Figure 2).  

The propensity of experiencing boredom is that some individuals may have the tendency to experience boredom more so than others and it can translate across situations in their lives (Mercer-Lynn et al., 2014). Trait boredom is not necessarily a trait itself, it is a disposition to experience it more frequently or have difficulty tolerating it{{f}}. Furthermore, age and cultural differences can impact how or when someone experiences boredom (Ndetei et al., 2023). For example, adolescents are particularly vulnerable to boredom due to a conflict between desire for independence, limited autonomy and opportunities in their social environment. There is a bidirectional connection with boredom and depression, where boredom has the potential to worsen depressive symptoms, alongside being a risk factor for developing depression (Ndetei et al., 2023). Boredom can be an antecedent to depression as it can disrupt individuals{{g}} motivation, reduce pleasure and lead to negative emotional states.  

=== Psychological theories of boredom ===
From a [[w:cognitive_psychology|cognitive psychological perspective]], research suggests that states of boredom are influenced by factors such as age and developmental stage. Individuals with lower levels of maturity may struggle to recognise potential changes in their environment or lack the awareness of strategies to act upon their desire for change once boredom is perceived (Caldwell et al., 1999). More broadly, boredom can be understood as arising from difficulties in sustaining attention or from attention being diverted elsewhere (Eplidorou, 2023). From a [[w:Psychodynamic_perspective|psychodynamic perspective]], boredom arises when conflicting wants or desires create an inner tension that cannot be resolved. This unresolved conflict leaves the individual in a state of dissatisfaction and disengagement, manifesting as boredom (Eastwood et al., 2007). 

There are several empirically evidenced theories of bored. The forced-effort theory of boredom asserts that boredom emerges when individuals are required to devote time and energy to monotonous or repetitive tasks{{f}}. Under such conditions, the effort expended is perceived as disproportionate to the level of stimulation or reward, resulting in a sense of disengagement and boredom (Caldwell et al., 1999). Alternatively, the functional theory of boredom conceptualises boredom as an affective state that serves an adaptive purpose{{f}}. Rather than being merely unpleasant, boredom signals the need to disengage from the current situation and seek alternative activities that are more meaningful or stimulating. This thereby guides individuals toward goal-directed action (Eplidorou, 2023).

=== How boredom can motivate ===
Boredom is not just an unpleasant emotion or state, rather simply best defined as a motivating state. Due to the inconsistency between attention and engagement, discomfort occurs and signals that the current situation is unfulfilling (Caldwell et al., 1999). Therefore, bored individuals are more likely to seek experiences and challenges, as they are motivated to seek the stimulation that they are lacking (Ndetei et al., 2023). From a functional perspective, boredom can be adaptive and push people to pursue more rewarding goals. Through a neurobiological lens, this is linked to reduced activity in the dopamine reward pathways, which drives the search for novelty or excitement to compensate for the deficit (Ernst &amp; Luciana, 2015). While this can encourage positive outcomes such as creativity or learning, it can also lead to maladaptive behaviours. Maladaptive behaviours such as impulsivity or substance use when individuals try to cope with the aversive state{{g}}. Adolescents are pushed toward high risk behaviours when meaningful leisure opportunities are nonexistent (Wegner &amp; Flisher, 2009).   

{{Robelbox|alt=|theme=7|title=Check your knowledge [[Image:Nuvola_apps_ktip.png|right|50px]]}}&lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
&lt;quiz display=simple&gt; 
Endogenous boredom comes from within a person, while reactive boredom is situation-based. 
|type=&quot;()&quot;}
+ True
- False

{The psychodynamic theory suggests boredom occurs when conflicting desires cannot be resolved.
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==Psychology behind substance use==
[[File:Figure_2._Abstract_image_of_different_substance_options.png|thumb|'''Figure 3.''' Bored individual is considering different types of substances.]]

Substance use refers to the consumption of substances, which may include illicit drugs, prescription medications, or everyday substances like alcohol and caffeine (see Figure 3){{f}}. While general use does not always equate to harm, substance misuse occurs when use becomes uncontrollable and causes significant negative effects, sometimes leading to addiction (American Psychiatric Association, 2024). Several psychological theories explain substance misuse: the [[w:Biopsychosocial model|biopsychosocial model]] emphasises the interplay of genetic, psychological and socio-cultural factors (Rickwood et al., 2005); the [[w:Self-medication hypothesis|self-medication hypothesis]] suggests that individuals use substances to cope with distress or mental health issues, increasing vulnerability to disorders (Baskin‐Sommers &amp; Hearon, 2015); and the [[Motivation and emotion/Book/2023/Hijack hypothesis of drug addiction|hijacking model]] highlights how repeated use alters the brain's reward system, reinforcing dependence and contributing to long-term structural deficits (Baskin‐Sommers, &amp; Hearon, 2015). 

=== What is substance use and types of substances? ===
Substance abuse occurs when an individual uses specific substances on a recurring basis{{f}}. This can include illicit substances, or the misuse of over-the-counter prescriptions (American Psychiatric Association Website, 2024). Substances are typically categorised into four types (see Table 1). Substances are commonly categorised as [[w:depressants|depressants]], [[w:Stimulants|stimulants]], [[w:Hallucinogens|hallucinogens]] and [[w:Inhalants|inhalants]], each producing distinct psychological and physiological effects  

{| class=&quot;wikitable&quot;
|+
Table 1. Substance Categories
!Types of Substances
!Examples
|-
|Depressants
|Alcohol, barbiturates, rohypnol, benzodiazepines, GHB, ketamine. 
|-
|Stimulants
|Cocaine, amphetamines, ritalin, caffeine, MDMA. 
|-
|Hallucinogens 
|Ketamine, magic mushrooms, LSD, ecstasy. 
|-
|Inhalants
|Toluene, plastic cement, paint, gasoline, paint thinners, hair sprays.
|}

=== The difference between using substances and misuse ===
Substance misuse (also known as substance abuse or ‘substance use disorders’) can be differentiated from general use of substances when an individual uses them in a way that causes harm, and they are unable to control their use of them despite the harmful effects - i.e. addiction. Substance misuse is associated with prescription medications, whilst substance abuse is associated with taking substances purposefully to get a high or inflict self-harm (Meridian Psychiatric Partners, 2020). 

=== Psychological theories behind substance misuse ===
The [[wikipedia:Biopsychosocial_model|Biopsychosocial Model]] of substance use (Rickwood et al., 2005) highlights how biological, psychological and socio-cultural domains interact to influence the onset and maintenance of substance use. Biological factors include genetic vulnerability to both the risk factors that predispose individuals to use drugs and the physiological effects of drugs themselves (Rickwood et al., 2005). Psychological factors encompass learning and conditioning processes, cultural beliefs about substance use and underlying mental health conditions that may increase susceptibility. Socio-cultural factors involve the broader context, such as social networks and peer groups, environmental influences and socioeconomic status, which can act as either risk or protective factors (Rickwood et al., 2005). This framework emphasises the importance of individual, psychological and social dimensions in understanding substance use and its associated risks. 

The [[wikipedia:Self-medication#Self-medication_hypothesis|self-medication hypothesis]] suggests that individuals may turn to substance use as a means of alleviating or &quot;quieting&quot; distressing psychological states, such as those linked to stress or mental health disorders. While this provides temporary relief, it simultaneously increases vulnerability to substance use disorders as reliance on substances becomes a maladaptive coping mechanism (Baskin‐Sommers, &amp; Hearon, 2015). 

The [[Motivation and emotion/Book/2023/Hijack hypothesis of drug addiction|&quot;hijacking&quot; model]] proposes that repeated substances use alters the brain's reward system by reshaping incentive structures and &quot;wanting&quot; mechanisms. Substances become strongly linked through predictive associations with reward value therefore reinforcing use. Over time these changes extend beyond motivation, contributing to structural and functional brain alterations that exacerbate cognitive and emotional deficits, thereby maintaining vulnerability to substance use disorders (Baskin‐Sommers, &amp; Hearon, 2015). 

{{Robelbox|alt=|theme=7|title=Check your knowledge [[Image:Nuvola_apps_ktip.png|right|50px]]}}&lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
&lt;quiz display=simple&gt; 
The biopsychosocial model emphasises biological, psychological, and socio-cultural influences on substance use.
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{The self-medication hypothesis suggests people sometimes use substances to cope with stress or mental health symptoms.
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{The “hijacking” model describes how repeated substance use can change brain reward pathways and motivations.
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==The relationship between boredom and substance use==
Boredom is linked to substance use, especially in adolescents as they are sensitive to rewards due to developmental changes in the dopamine system{{f}}. This makes them more likely to use substances as a coping strategy to escape under-stimulation or distress{{f}}. This process is reinforced by the self-medication hypothesis and the overlap between boredom and depression. Over time, substances hijack dopamine pathways, leading to reduced rewards for natural activities and increasing the vulnerability to dependence on substances. Preventative strategies like routines, hobbies, exercise and healthy coping mechanisms can reduce this risk.{{f}}

=== Why is there a relationship between boredom &amp; substance use? ===
Adolescents would rely on substance use as a way to overcome under-stimulating environments, this was worsened by early age and the high quantity of use of the substances (Weybright et al., 2015){{g}}. During adolescence, neurodevelopment synaptic pruning and reductions in glial cells occur (Green at al., 2023). These changes are critical for cognitive development as synaptic pruning involves the process of eliminating unnecessary synapses. Therefore, this is a critical time where individuals can be influenced by peers easily. This, along with neurodevelopment, can lead to interrupted prefrontal cortex maturation, which leads to behaviour regulation difficulties (Yücel et al., 2007). Additionally, adolescents with high boredom trait levels were more likely to engage in substance abuse overall (Weybright et al., 2015). Studies indicate that adolescents experiencing boredom are 50% more likely to smoke, drink, become intoxicated and use illicit substances compared to their non-bored peers (Columbia University, 2003){{expand}}. This population may turn to substance use as a coping strategy, using it to alleviate or escape the aversive experience of boredom (Ndetei et al., 2023). This aligns with the self-medication hypothesis, which proposes that individuals use substances to reduce distressing psychological states, such as stress, low mood or mental health difficulties that can be enhanced by feelings of boredom (Baskin‐Sommers, &amp; Hearon, 2015). 

Boredom has been identified as both a risk factor for and a symptom of depression, with both states characterised by feelings of numbness, low motivation and disengagement (Ndetei et al., 2023). According to the self-medication hypothesis, substance use may provide temporary relief by reducing aversive psychological states (Baskin‐Sommers, &amp; Hearon, 2015). However, this short-term alleviation reinforces reliance on substances, therefore heightening the vulnerability to substance use disorders. Therefore, boredom and depression can be considered as interconnected drivers that funnel individuals toward self-medication through substance use.  

The dopamine system, particularly the [[wikipedia:Mesolimbic_pathway|mesolimbic pathway]] ([[wikipedia:Ventral_tegmental_area|ventral tegmental area]] → [[wikipedia:Nucleus_accumbens|nucleus accumbens]] → [[wikipedia:Prefrontal_cortex|prefrontal cortex]]) plays a central role in reward sensitivity, motivation and learning, and its activity is heightened during adolescence (Ernst &amp; Luciana, 2015). When individuals are bored, this aversive state triggers a motivational drive to seek out rewarding stimuli. Adolescents are especially sensitive to such rewards due to developmental changes in dopamine-rich brain circuitry, making boredom more likely to push them toward high reward behaviours such as substance use (Galván, 2013). Substances that are often abused intensify this effect by producing large, rapid dopamine surges in the striatum, reinforcing drug-related cues and increasing their incentive salience, which makes them more attention-grabbing and desirable (Volkov &amp; Morales, 2015). Repeated substance use over time leads to neuroadaptations where natural rewards elicit diminished dopamine responses, while drug cues elicit heightened responses which reduces the capacity to enjoy non-drug rewards and further reinforcing substance use patterns (see Figure 4) (Poisson et al., 2021).   

A systematic review by Wegner and Flisher (2009) strengthen findings that leisure boredom consistently predicts higher levels of adolescent substance use. It was also highlighted that contextual factors such as a lack of structured leisure options and limited parental monitoring increases the risk. These conclusions are supported by later empirical studies (Weybright et al., 2015), further strengthening the evidence that boredom is a key driver of adolescent substance use.     

=== Preventative measures ===
Creating a consistent routine can help bring purpose to your life and reduce idle time that may otherwise feel unproductive. Incorporating hobbies, physical activity and creative pursuits into this routine is especially beneficial, as these activities not only provide structure but also enhance mood and fulfil the brain's need for reward. Additionally, replacing maladaptive coping mechanisms with healthier alternatives is important for long-term well-being. Having a list of preplanned activities can provide constructive outlets and reduce the likelihood of slipping back into old substance use habits. Example of activities include, going for a walk, calling a friend, creative activity (knitting, painting, drawing), exercise or others.{{f}}

{{Robelbox|alt=|theme=7|title=Check your knowledge [[Image:Nuvola_apps_ktip.png|right|50px]]}}&lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
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Adolescents high in boredom proneness are no more likely to use substances than their peers.
|type=&quot;()&quot;}
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==Conclusion==
Boredom can be understand through multiple psychological perspectives including cognitive theory, the forced-effort theory, the functional theory, and the psychodynamic perspective. Substance misuse is often explained by the biopsychosocial model, alongside the self-medication hypothesis. Boredom acts as a key driver of substance use by creating an aversive state that individuals seek to escape. Turning to substances is a form of coping from stress and a way to seek stimulation and dopamine-driven rewards. Over time, there is a reliance that is formed and reinforces the patterns of misuse and increases the risk of dependence.  

Boredom can be a warning sign, if you do not manage it then it may push you toward unhealthy coping mechanisms like substance use. Try utilising your boredom for growth rather than risk.  

==See also==
* [[wikipedia:Addiction|Addiction]] (Wikipedia)
* [[wikipedia:Boredom|Boredom]] (Wikipedia)
* [[Motivation and emotion/Book/2020/Boredom and technology addiction|Boredom and technology addiction]] (Book chapter, 2020)
* [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion/Book/2015/Boredom_and_motivation&amp;veaction=edit&amp;section=16 Boredom and motivation] (Book chapter, 2015)
* [[Motivation and emotion/Book/2019/Boredom and emotion|Boredom and emotion]] (Book chapter, 2019)
* [[Motivation and emotion/Book/2025/Alcohol, dopamine, motivation, and emotion|Alcohol, dopamine, motivation, and emotion]] (Book chapter, 2025)
* [[Motivation and emotion/Book/2025/E-cigarette use motivation|E-cigarette use motivation]] (Book chapter, 2025)
* [[Motivation and emotion/Book/2023/Treatment motivation in substance use disorder|Treatment motivation in substance use disorder]] (Book chapter, 2023)

== References ==
{{Hanging indent|1=

American Psychiatric Association. (2024). Substance-related and addictive disorders. ''Diagnostic and Statistical Manual of Mental Disorders, Fifth Edition, Text Revision (DSM-5-TR)''. https://www.psychiatry.org/patients-families/addiction-substance-use-disorders/what-is-a-substance-use-disorder

Australian Institute of Health and Welfare. (2025). Illicit drug use. https://www.aihw.gov.au/reports/illicit-use-of-drugs/illicit-drug-use

Baskin‐Sommers, A. R., &amp; Hearon, B. A. (2015). The intersection between neurobiological and psychological theories of substance use disorders. In H. R. White &amp; S. H. Rabiner (Eds.), ''The handbook of drugs and society'' (pp. 218–235). Wiley. https://doi.org/10.1002/9781118726761.ch11

Bench, S. W., &amp; Lench, H. C. (2019). Boredom as a seeking state: Boredom prompts the pursuit of novel (even negative) experiences. ''Emotion'', ''19''(2), 242–254. https://doi.org/10.1037/emo0000433

Caldwell, L. L., Darling, N., Payne, L. L., &amp; Dowdy, B. (1999). “Why are you bored?”: An examination of psychological and social control causes of boredom among adolescents. ''Journal of Leisure Research'', ''31''(2), 103–121. https://doi.org/10.1080/00222216.1999.11949853

Chin, A., Markey, A., Bhargava, S., Kassam, K. S., &amp; Loewenstein, G. (2017). Bored in the USA: Experience sampling and boredom in everyday life. ''Emotion'', ''17''(2), 359. https://doi.org/10.1037/emo0000232

Columbia University. (2003). National survey of American attitudes on substance abuse VIII: Teens and parents. New York, NY: National Centre on Addiction. https://files.eric.ed.gov/fulltext/ED478693.pdf

Eastwood, J. D., Cavaliere, C., Fahlman, S. A., &amp; Eastwood, A. E. (2007). A desire for desires: Boredom and its relation to alexithymia. ''Personality and Individual Differences'', ''42''(6), 1035–1045. https://doi.org/10.1016/j.paid.2006.08.027

Eastwood, J., Frischen, A., Fenske, M., &amp; Smilek, D. (2012). The unengaged mind: Defining boredom in terms of attention. ''Perspectives on Psychological Science'', ''7'', 482–495. https://doi.org/10.1177/1745691612456044

Elpidorou, A. (2023). Boredom and cognitive engagement: A functional theory of boredom. ''Review of Philosophy and Psychology'', ''14''(3), 959–988. https://doi.org/10.1007/s13164-021-00599-6

Ernst, M., &amp; Luciana, M. (2015). Neuroimaging of the dopamine/reward system in adolescent drug use. CNS Spectrums, 20(4), 427–441. https://doi.org/10.1017/S1092852915000395

Galván, A. (2013). The Teenage Brain: Sensitivity to Rewards. Current Directions in Psychological Science, 22(2), 88-93. https://doi.org/10.1177/0963721413480859

Green, R., Meredith, L. R., Mewton, L., &amp; Squeglia, L. M. (2023). Adolescent neurodevelopment within the context of impulsivity and substance use. Current addiction reports, 10(2), 166-177. https://doi.org/10.1007/s40429-023-00485-4

Mercer-Lynn, K. B., Bar, R. J., &amp; Eastwood, J. D. (2014). Causes of boredom: The person, the situation, or both? ''Personality and Individual Differences'', ''56'', 122–126. https://doi.org/10.1016/j.paid.2013.08.034

Ndetei, D. M., Nyamai, P., &amp; Mutiso, V. (2023). Boredom—understanding the emotion and its impact on our lives: An African perspective. ''Frontiers in Sociology'', ''8'', 1213190. https://doi.org/10.3389/fsoc.2023.1213190

Poisson, C. L., Engel, L., &amp; Saunders, B. T. (2021). Dopamine circuit mechanisms of addiction-like behaviors. Frontiers in Neural Circuits, 15, 752420. https://doi.org/10.3389/fncir.2021.752420

Rickwood, D., Crowley, M., Dyer, K., Magor-Blatch, L., Melrose, J., Mentha, H., &amp; Ryder, D. (2005). ''Perspectives in psychology: Substance use''. Melbourne: Australian Psychological Society. https://doi.org/10.5172/jamh.4.3.218

Tolstoy, L. (2013). ''Leo Tolstoy - A short story collection: &quot;Boredom: The desire for desires.&quot;'' Copyright Group Limited. https://books.google.com.au/books?id=4uzCtQEACAAJ

Volkow, N. D., &amp; Morales, M. (2015). The brain on drugs: from reward to addiction. Cell, 162(4), 712-725. https://doi.org/10.1016/j.cell.2015.07.046

Wegner, L., &amp; Flisher, A. J. (2009). Leisure boredom and adolescent risk behaviour: A systematic literature review. Journal of child and adolescent mental health, 21(1), 1-28. https://doi.org/10.2989/JCAMH.2009.21.1.4.806

Westgate, E. C. (2020). Why boredom is interesting. ''Current Directions in Psychological Science'', ''29''(1), 33–40. https://doi.org/10.1177/0963721419884309

Weybright, E. H., Caldwell, L. L., Ram, N., Smith, E. A., &amp; Wegner, L. (2015). Boredom prone or nothing to do? Distinguishing between state and trait leisure boredom and its association with substance use in South African adolescents. ''Leisure Sciences'', ''37''(4), 311–331. https://doi.org/10.1080/01490400.2015.1014530

Yücel, M., Lubman, D. I., Solowij, N., &amp; Brewer, W. J. (2007). Understanding drug addiction: A neuropsychological perspective. Australian &amp; New Zealand Journal of Psychiatry, 41(12), 957-968. https://doi.org/10.1080/00048670701689444

}}

==External links==
*[https://www.healthline.com/health/boredom Boredom] (Healthline) 
*[https://meridianpsychiatricpartners.com/drug-misuse-abuse-and-addiction-whats-the-difference/ Drug misuse, abuse and addiction: What’s the difference?] (Meridian Psychiatric Partners) 
*[https://www.ted.com/dubbing/manoush_zomorodi_how_boredom_can_lead_to_your_most_brilliant_ideas?language=en&amp;audio=en How boredom can lead to your most brilliant ideas] (TED Talk) 
*[https://www.northpointrecovery.com/blog/how-to-deal-with-boredom-in-recovery-from-addiction/? How to deal with boredom in recovery from addiction] (Northpoint Recovery) 
*[https://www.aristarecovery.com/blog/life-is-boring-without-drugs-d7a0e? Life is boring without drugs] (Arista Recovery) 
*[https://www.ted.com/talks/judy_grisel_never_enough_the_neuroscience_and_experience_of_addiction Never enough: The neuroscience and experience of addiction] (TEDx Talk) 
*[https://www.healthdirect.gov.au/substance-abuse Substance abuse] (Healthdirect)
*[https://www.theguardian.com/books/2025/jun/15/the-big-idea-should-we-embrace-boredom The big idea: should we embrace boredom?] (The Guardian)
*[https://www.jacksonhouserehab.com/blog/posts/2024/june/the-connection-between-boredom-and-addiction/ The connection between boredom and addiction] (Jackson House Rehab)
*[https://fountainhillsrecovery.com/blog/boredom-and-relapse/? Why boredom can lead to relapse and 3 ways to prevent it] (Fountain Hills Recovery)

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      <text bytes="29538" sha1="surpujxi9pmwe8zig53nfrn4zse23ld" xml:space="preserve">{{title|Cortical structures and motivational drive:&lt;br&gt;How do cortical regions modulate motivational impulses and energy?}}
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==Overview==
{{RoundBoxTop|theme=13}}
[[File:Canva - Woman Feeling Emotional Stress.jpg|thumb|150px|'''Figure 1'''. Jasmine feeling emotional stress and procrastination about her studies ]]
;Case study 1

Meet Jasmine (see Figure 1), a high-achieving academic university student who suddenly finds herself unable to stay motivated. She has lost her desire, energy and enthusiasm for her academic studies despite knowing the importance of her goals. She usually loves her studies; however, she is procrastinating, avoids tasks, can't &quot;will&quot; herself to act and just feels depleted all the time. Psychotherapy has displayed no major depression, but neuroimaging later revealed that her prefrontal cortex is under-active.
{{RoundBoxBottom}}

The case raises a serious question whether [[motivation]] derives purely from desires and willpower, or is it overseen by the brain's control systems. Motivation can be understood as the internal drive that allows an individual to begin, guide, and maintain actions directed towards specific goals (Graham &amp; Weiner, 2012). Psychologically {{g}} motivation is found within an individuals{{g}} [[Cognition|thoughts]], [[Emotion|emotions]] and involves [[wikipedia:Belief|belief's]] about one's capabilities. However, motivation is also physiological; research has shown that motivation is deeply linked to our cortical structures within the brain (Rolls, 2023). Specifically, the [[wikipedia:Prefrontal_cortex|prefrontal cortex]], [[wikipedia:Anterior_cingulate_cortex|anterior cingulate cortex]], and the [[wikipedia:Insular_cortex|insular cortex]]. They are involved in goal-directed behaviour, monitoring performance, and emotional awareness (Rolls, 2023). Therefore, understanding and challenging the common idea that motivation or lack of is due to psychological reasons and instead focusing on the dysregulation of the cortical structures, will greatly benefit academic performance, athletic ability and professionalism in the workplace.

{{RoundBoxTop|theme=3}}
;Focus questions
* Which cortical structures are involved in generating and sustaining motivation?
* How do psychological theories explain cortical involvement in motivation?
* How do cortical systems interact in regulating effort?
* How can interpreting cortical systems improve motivation in real-world settings?
{{RoundBoxBottom}}

==Key cortical structures involved in motivation ==
Considering the impacts that cortical structures have on motivation have allowed teachers, practitioners, and coaches to determine why learning, reward value, decision-making, and [[wikipedia:Executive_functions|executive function]] relate, guide and energise motivation (Kim, 2013){{rewrite}}. Research has identified that sustaining motivation falls largely on the [[wikipedia:Striatum|striatum]] and the [[wikipedia:Orbitofrontal_cortex|orbitofrontal cortex]], as they evaluate stimuli (Kim, 2013). While control over goal-directed behaviour comes from the anterior cingulate cortex an area that regulates attention, and the [[wikipedia:Dorsolateral_prefrontal_cortex|dorsolateral prefrontal cortex]], an area that regulates cognitive control (Kim, 2013){{g}}. However, while a few structures are named more frequently in motivation research, the full impact of different cortical structures still continues to be explored in literature and several implications have been revealed from research (Kim, 2013).

=== Prefrontal cortex ===
[[File:Prefrontal cortex (left) animation.gif|thumb|'''Figure 2.''' Location of the prefrontal cortex on the left side of the brain]]

Located at the front of brain (see Figure 2), the [[wikipedia:Prefrontal_cortex|prefrontal cortex]] (PFC) is central to complex cognitive operations, including planning, reasoning, decision-making, regulating social behaviour, and exercising self-control (Harms &amp; Pollak, 2024). Thus, damage to the pre-frontal cortex can lead to inefficiency in socio-emotional regulation, incorrect evaluation of individuals moods around them, and importantly, planning, goal-attainment and problem-solving become impaired (Harms &amp; Pollak, 2024). A simplified review of PFC structures involvement in motivation can be seen in Table 1.

==== Dorsolateral prefrontal cortex ====
The [[wikipedia:Dorsolateral_prefrontal_cortex|dorsolateral prefrontal cortex]] (DLPFC), located in the upper to middle regions of the prefrontal cortex (PFC; see Figure 3), has been identified as a major driver of motivation. [[wikipedia:Functional_magnetic_resonance_imaging|Functional MRI]] (fMRI) has allowed researchers to examine more closely the relationship between goal-directed behaviour and the DLPFC in order to explain the neural basis of reward-driven behaviour (Ballard et al., 2011). Evidence indicates that the DLPFC is an important structure for receiving input from the dopamine system, guiding reward information from simple reaction-time tasks to long-term goals (Ballard et al., 2011). Research also suggests that the DLPFC plays a critical role in weighting the benefits of pursuing goals. Activation of the DLPFC enhances the representation of reward cues, integrating and transmitting this information to the [[wikipedia:Mesolimbic_pathway|mesolimbic]] and [[wikipedia:Mesocortical_pathway|mesocortical dopamine systems]] and thereby initiating motivation (Ballard et al., 2011). Additionally, under-activity of the DLPFC has been associated with [[amotivation]], a core feature of [[wikipedia:Major_depressive_disorder|major depressive disorder]] (MDD) (Bi et al., 2024). The DLPFC is therefore central in modulating effortful motivation. Studies have shown that stimulation of the DLPFC increases willingness to engage in reward-seeking behaviour (Bi et al., 2024). Specifically, [[wikipedia:Transcranial_magnetic_stimulation|transcranial magnetic stimulation]] (TMS) of the DLPFC enhances motivational attention, highlighting its potential as a therapeutic intervention for improving motivational energy and providing potential treatment for MDD (Bi et al., 2024). 

==== Ventromedial prefrontal cortex ====
[[File:PFC anatomy.png|thumb|379x379px|'''Figure 3.''' Location of each structure within the prefrontal cortex and how they are separated]]

The [[wikipedia:Ventromedial_prefrontal_cortex|ventromedial prefrontal cortex]] (vmPFC) is located in the posterior middle region of the prefrontal cortex (see Figure 3) and plays a key role in regulating reward-driven arousal during activity preparation to enhance motivation (Watanabe et al., 2019). The vmPFC supports motivational drive and task performance by controlling excessive [[wikipedia:Arousal|arousal]] that arises during the preparation of challenging tasks, when the likelihood of reward increases (Watanabe et al., 2019). Without regulation, this heightened arousal can lead to irrational and unstable behaviour, ultimately impairing performance. However, through its neural connection with the [[wikipedia:Amygdala|amygdala]], the vmPFC helps stabilise arousal responses and supports successful performance (Watanabe et al., 2019). Similarly, research demonstrated that during decision-making, [[wikipedia:Blood-oxygenation-level–dependent_imaging|blood-oxygen-level-dependent]] (BOLD) signals in the vmPFC have been shown to correlate with both expected values and reward or cost incentives, key factors that drive motivation (Hoven et al., 2022).   

==== Orbitofrontal cortex ====
The [[wikipedia:Orbitofrontal_cortex|orbitofrontal cortex]] (OFC) {{g}} found on the underside of the PFC (see Figure 3), regulates motivation by evaluating rewards and punishments (Morecraft &amp; Yeterian, 2002). Evidence suggests that the OFC drives goal-directed behaviour through the pursuit of rewards and the avoidance of punishments (Rolls, 2023). fMRI studies support this view, showing that the medial OFC becomes active when a reward is present, motivating individuals to continue the behaviour (Kringelbach &amp; Rolls, 2004). Conversely, the lateral OFC activates in response to potential punishments, prompting behavioural change to avoid negative outcomes (Kringelbach &amp; Rolls, 2004). Dysregulation of the OFC has been linked to depression, as the loss of an expected reward can trigger sadness and depressive symptoms (Rolls et al., 2020). In such cases, the OFC shows decreased functional connectivity, particularly under-responsiveness to reward stimulation in the medial OFC (Rolls et al., 2020). Treatments aimed at reducing depression and enhancing goal-directed behaviour, therefore, focus on decreasing lateral OFC connectivity while increasing medial OFC connectivity through stimulation (Rolls et al., 2020).

'''Table 1.'''

''Key structures within the prefrontal cortex and their motivational drive function.''
{| class=&quot;wikitable&quot; style=&quot;margin: auto;&quot;
|-
!Region within the PFC
!Role in Motivation
|-
|DLPFC
|Initiates and guides reward driven behaviour to achieve long-term goals by transmitting input to the mesolimbic and mesocorticlal{{sp}} dopamine system. 
|-
|vmPFC
|Controls excessive arousal that causes irrationally and thereby supporting motivation by controlling impulses that would harm the performance of a particular action or task. 
|-
|OFC
|Regulates and sustains adaptive motivation by weighing the cost or benefit of a reward or punishment.
|}

=== Anterior cingulate cortex ===
The [[wikipedia:Anterior_cingulate_cortex|anterior cingulate cortex]] (ACC), located on the medial surface of the [[wikipedia:Frontal_lobe|frontal lobe]], is responsible for enacting [[wikipedia:Inhibitory_control|inhibitory control]] during behaviour, namely, the ability to regulate or suppress potentially regretful actions (Alexander, 2020). Research suggests that the ACC facilitates the successful completion of hierarchical behaviours by grouping lower-level actions and completing them in accordance with [[wikipedia:Superordinate_goals|superordinate goals]], which are encoded within ACC [[wikipedia:Neuronal_ensemble|neural ensembles]] (Foinikianaki et al., 2025). In this way, the ACC exerts inhibitory control over behaviour through the evaluation of reward predictions at the onset of hierarchical tasks (Foinikianaki et al., 2025). Evidence further indicates that ACC activity is positively associated with task performance, reflected in greater accuracy and faster response times (Foinikianaki et al., 2025). Moreover, the ACC monitors motivation by evaluating reward contingencies, thereby guiding control over goal-directed behaviour (Foinikianaki et al., 2025). 

=== Insular cortex ===
[[File:Insula animation small.gif|thumb|'''Figure 4.''' Location of the insular cortex within the brain]]

The [[wikipedia:Insular_cortex|insular cortex]] is located deep within the [[wikipedia:Lateral_sulcus|lateral sulcus]] (see Figure 4), which separates the [[wikipedia:Temporal_lobe|temporal lobe]] from the frontal and [[wikipedia:Parietal_lobe|parietal lobes]] (Gogollo, 2017). It is active in all motivational behaviours and is implicated in risk prediction, self-awareness, decision-making, and motivation (Gogollo, 2017). Evidence suggests that the insular cortex functions as a linking network between cortical and subcortical structures, with strong connections to motivation and reward systems (Gogollo, 2017). The insular cortex also contributes to the [[wikipedia:Brain_mapping|brain mapping]] of bodily states necessary for upholding homeostasis. [[wikipedia:Interoception|Interoception]] occurs and is integrated with motivational signals to initiate behaviour (Namkung et al., 2017). It plays a role in [[wikipedia:Explicit|explicit]] motivation by driving engagement in behaviours that fulfil conscious desires (Namkung et al., 2017). Rewarding stimuli are therefore associated with feelings of joy, which increase the motivational drive to participate in rewarding behaviours. Conversely, aversive stimuli generate feelings of discomfort, leading to avoidance motivation and decreasing behaviour (Namkung et al., 2017).   

== Theoretical underpinning ==
Theories involving motivation propose and inform why individuals make a certain decision, or why behaviour consists{{huh}} over time. New concepts have been developed with four major factors being identified: 
# expectations
# social modelling
# self-regulation
# task value, goal-directed behaviour, and perceived costs or rewards (Hattie et al., 2020).

=== Dual-process theory ===
The [[wikipedia:Dual_process_theory|dual-process theory]] encompasses two systems that are distinct yet interconnected. System 1, often referred to as the automatic or “gut feeling” system, prepares an individual’s initial reaction to stimuli. It is fast, unconscious, and intuitive (Da Silva, 2023). In contrast, system 2 is the controlled or “thinking” system, responsible for adaptable reasoning and deliberate decision-making. Therefore, it operates consciously and system 2 can override the automatic responses generated by system 1 (Da Silva, 2023){{g}}.

Meta-analyses using fMRI research support this distinction, showing that different neural activations occur depending on the type of reasoning required. Specifically, the left PFC has been identified as essential for general reasoning ability (Da Silva, 2023). Further evidence suggests that during system 2 processing, the right inferior PFC is activated when logically correct decisions are made, supporting analytical thinking. Conversely, the vmPFC is engaged during system 1 processing, guiding intuitive and [[wikipedia:Heuristic|heuristic]] judgments when beliefs override logic (Da Silva, 2023). 

{{RoundBoxTop|theme=13}}'''Case study 2'''
Mia, who has recently been employed and works at a zoo, is shocked by the idea that not all birds can fly. Therefore, her vmPFC during system 2 has activated and she is relying on her personal understanding of animals. However, her belief is incorrect and has suppressed her logical reasoning, leading her to reject the conclusion that not all birds can fly.

{{RoundBoxBottom}}

=== Reinforcement sensitivity theory ===
The [[wikipedia:Reinforcement_sensitivity_theory|reinforcement sensitivity theory]] proposes that motivational behaviour arises from three brain-based systems: the [[wikipedia:Behavioral_systems_analysis|behavioural approach system]] (BAS), the [[wikipedia:Gray's_biopsychological_theory_of_personality|behavioural inhibition system]] (BIS), and the [[wikipedia:Fight-or-flight_response|fight-flight-freeze system]] (FFFS) (Xie, 2021). The BAS responds to rewards, the BIS to punishments and missed rewards, and the FFFS prepares the body to face threats (Xie, 2021). Neuroimaging research has shown that the medial OFC exhibits stronger activation when anticipated rewards are larger, reflecting BAS activation and supporting motivation (Xie, 2021). Conversely, the lateral OFC shows greater activation when rewards are smaller or absent, engaging the BIS and motivating behavioural inhibition (Xie, 2021).

=== Self-determination theory ===
The [[wikipedia:Self-determination_theory|self-determination theory]] (SDT) posits that optimal human functioning requires the fulfilment and support of three basic psychological needs: [[wikipedia:Autonomy|autonomy]], [[wikipedia:Competence|competence]], and [[wiktionary:relatedness|relatedness]] (Reeve &amp; Lee, 2019). When these needs are supported, individuals experience greater [[intrinsic motivation]] and more autonomous forms of [[extrinsic motivation]] (Reeve &amp; Lee, 2019). fMRI research examining brain activity in response to situations involving these needs has identified motivational activation associated with each component of SDT (Reeve &amp; Lee, 2019). For competence-satisfying challenges, the anterior insular in both hemispheres is activated, integrating emotional self-awareness into decision-making (Reeve &amp; Lee, 2019). In autonomy-supportive situations, increased intrinsic motivation is linked to activation in both the anterior insular and the PFC, which integrate information from emotions, self-awareness, and personal meaning to stimulate the brain’s dopamine reward system and self-relatedness processes (Reeve &amp; Lee, 2019). Finally, in relatedness-satisfying contexts, the ACC has been shown to enhance intrinsic motivation through its role in attachment and bonding. Since feelings of belonging are both rewarding and self-satisfying, they amplify motivational drive to complete the task (Reeve &amp; Lee, 2019).   

== Cortical-motivational systems in real life contexts ==
Motivation is fundamental in behaviour and in the interaction that occurs between an individual and the world around them (Simpson &amp; Balsam, 2016). Human's{{g}} have basic motivational instincts to obtain food, water, shelter and social interactions, however, motivation is also crucial for optimal academic achievement, foster growth in the workplace, and importantly it explains the &quot;why&quot; behind behaviours, such as addiction (Simpson &amp; Balsam, 2016). 

=== Academic motivation ===
[[wikipedia:Procrastination|Procrastination]] is a growing issue in [[wikipedia:Academic_achievement|academic achievement]], referring to the act of unnecessarily delaying a task or goal despite the awareness of potential negative consequences (Li et al., 2021). Previous research suggests that the likelihood of procrastination decreases as [[wikipedia:Need_for_achievement|achievement motivation]] increases (Li et al., 2021). Achievement motivation is linked to academic success because it reflects the drive to succeed and the need to accomplish goals (Li et al., 2021). Studies have revealed that the DLPFC and ACC are key regions within the self-control network, connecting them with procrastination through their role in impulse regulation (Li et al., 2021). These regions regulate procrastination and enhance academic achievement by modulating an individual’s bias toward task outcomes (Li et al., 2021). This means that cortical structures place less emphasis on potential negative outcomes and more on positive ones during decision-making (Li et al., 2021). Consequently, this promotes study engagement, persistence, and discipline, ultimately leading to greater learning and higher academic results (Li et al., 2021).

{{RoundBoxTop|theme=3}}
;Test yourself
&lt;quiz display=&quot;simple&quot;&gt;
{Procrastination refers to delaying a task despite knowing there will be negative consequence:
|type=&quot;()&quot;}
+ True
- False

{Cortical structures in academic motivation place more emphasis on negative outcomes:
|type=&quot;()&quot;}
- True
+ False
&lt;/quiz&gt;

{{RoundBoxBottom}}

=== Workplace motivation ===
[[File:Burnout_At_Work_-_Occupational_Burnout.jpg|thumb|'''Figure 5.''' A young man is experiencing burnout while attempting to finish multiple projects for his work]]

Experiencing workplace motivation is crucial for career success. It drives individuals to grow, challenge themselves, and become more competitive in their work (Vo et al., 2022). Research has demonstrated that satisfying social relatedness and autonomy is associated with increased work motivation (Vo et al., 2022). However, satisfying competence can decrease motivation, as individuals may feel superior to their co-workers, leading to reduced effort (Vo et al., 2022). Additionally, having control over work activities enhances confidence and motivation, while support from colleagues further increases employees’ commitment and effort toward their organisation (Vo et al., 2022). During periods of strong work motivation, the anterior insular, PFC, and ACC show greater activation to support drive and concentration (Vo et al., 2022). Conversely, when these cortical regions are under-active, it can result in burnout (see Figure 5), stress, and feelings of inadequacy in the workplace, as the dopamine system becomes less responsive when rewards are insufficient (Vo et al., 2022).

=== Addiction  ===

Research has also identified that when the PFC does not function optimally, individuals are at a greater risk of developing [[wikipedia:Addiction|addiction]] (Goldstein &amp; Volkow, 2011). Individuals with PFC dysfunction are more likely to become addicted to various stimuli, such as food (see Figure 6) or drugs (Goldstein &amp; Volkow, 2011). Studies have shown that during drug use, the PFC becomes overactive, reflecting heightened craving for drugs (Goldstein &amp; Volkow, 2011). Conversely, when not taking drugs or engaging in tasks that require decision-making, the PFC exhibits reduced activity (Goldstein &amp; Volkow, 2011). This pattern of overactivation during drug use and underactivation during normal motivational tasks is associated with greater addiction severity and an increased likelihood of relapse (Goldstein &amp; Volkow, 2011). Research has also shown that dysfunction in PFC regions such as the DLPFC, vmPFC, OFC, have resulted in impaired response inhibition and salience attribution (IRISA) in addiction behaviours (Goldstein &amp; Volkow, 2011). This is the neurophysiological mechanisms {{gr}} hat describes the development of impulsive behaviours cravings and impaired self awareness, when the individual is in need of help (Goldstein &amp; Volkow, 2011).

==Conclusion==
The chapter discussed the importance of cortical regions and their role in motivation. The PFC is divided into the DLPFC, vmPFC, and the OFC. The DLPFC is responsible for reward driven behaviour, the vmPFC is responsible for controlling arousal, and the OFC is responsible for the cost and benefit analysis of rewards or punishments. The ACC and insular are also important cortical regions in motivation as they are involved in risk prediction and inhibitory control. Research has explained cortical region involvement in motivation through dual-process theory, reinforcement sensitivity theory, and the STD. The dual-process theory explains that motivation occurs from two intertwined systems known as system 1, the automatic system, and system 2, the controlled system. Reinforcement sensitivity theory suggests that motivation is regulated by three brain systems in reaction to rewards or punishments. Finally, the STD system demonstrates that optimal motivation arise from satisfying basic psychological needs for autonomy, competence, and relatedness. Furthermore, interpreting cortical systems improves motivation in real-world settings, because it informs teachers on how to create better engagement and reduce procrastination. It will enable employers to better motivate their employees through self-determination and supporting them to give them better confidence, and it will reduce addiction levels in society, because cortical regions explain why people are motivated to continue in addicting behaviours. Furthermore, this research demonstrates the crucial role of cortical regions in understanding and enhancing motivation, offering insights for performance, wellbeing, and behavioural improvements across all domains of life.

==See also==
* [[Motivation and emotion/Book/2022/Insular cortex and emotion|Insular cortex and emotion]] (Book chapter, 2022)
* [[wikipedia:Motivation|Motivation]] (Wikipedia)
* [[Motivation and emotion/Book/2015/Prefrontal cortex and emotion|Prefrontal cortex and emotion]] (Book chapter, 2015) 
* [[Motivation and emotion/Book/2011/Self-determination theory|Self-determination theory]] (Book chapter, 2011)
* [[Motivation and emotion/Book/2024/Work motivation and self-determination theory|Work motivation and self-determination theory]] (Book chapter, 2024)

==References==
{{Hanging indent|1=

Alexander, W. H. (2020). The surprising role of anterior cingulate in motivated control. Research Communities by Springer Nature; Springer Nature. https://communities.springernature.com/posts/the-surprising-role-of-anterior-cingulate-in-motivated-control

Ballard, I. C., Murty, V. P., Carter, R. M., MacInnes, J. J., Huettel, S. A., &amp; Adcock, R. A. (2011). Dorsolateral Prefrontal Cortex Drives Mesolimbic Dopaminergic Regions to Initiate Motivated Behavior. The Journal of Neuroscience, 31(28), 10340–10346. https://doi.org/10.1523/JNEUROSCI.0895-11.2011

Bi, R., Zhao, Y., Li, S., Xu, F., Peng, W., Tan, S., &amp; Zhang, D. (2024). Brain stimulation over the left DLPFC enhances motivation for effortful rewards in patients with major depressive disorder. Journal of Affective Disorders, 356, 414–423. https://doi.org/10.1016/j.jad.2024.04.064

Da Silva, S. (2023). System 1 vs. System 2 Thinking. Psych, 5(4), 1057–1076. https://doi.org/10.3390/psych5040071

Foinikianaki, E., Ikink, I., Colin, T. R., Alejandro, R. J., &amp; Holroyd, C. B. (2025). ACC representations of reward-driven motivation over hierarchically-organized behavior. NeuroImage (Orlando, Fla.), 317, Article 121380. https://doi.org/10.1016/j.neuroimage.2025.121380

Gogolla, N. (2017). The insular cortex. Current Biology, 27(12), R580–R586. https://doi.org/10.1016/j.cub.2017.05.010

Goldstein, R. Z., &amp; Volkow, N. D. (2011). Dysfunction of the prefrontal cortex in addiction: neuroimaging findings and clinical implications. Nature Reviews. Neuroscience, 12(11), 652–669. https://doi.org/10.1038/nrn3119

Graham, S., &amp; Weiner, B. (2012). APA PsycNet. Psycnet.apa.org. https://psycnet.apa.org/record/2011-11701-013

Harms, M. B., &amp; Pollak, S. D. (2024). Emotion regulation. ScienceDirect; Elsevier. https://www.sciencedirect.com/science/article/abs/pii/B9780323960236000361

Hattie, J., Hodis, F. A., &amp; Kang, S. H. K. (2020). Theories of motivation: Integration and ways forward. Contemporary Educational Psychology, 61(1), 101865. https://doi.org/10.1016/j.cedpsych.2020.101865

Hoven, M., Brunner, G., de Boer, N. S., Goudriaan, A. E., Denys, D., van Holst, R. J., Luigjes, J., &amp; Lebreton, M. (2022). Motivational signals disrupt metacognitive signals in the human ventromedial prefrontal cortex. Communications Biology, 5(1), Article 244. https://doi.org/10.1038/s42003-022-03197-z

Kim, S. (2013). Neuroscientific Model of Motivational Process. Frontiers in Psychology, 4, 98. https://doi.org/10.3389/fpsyg.2013.00098

Kringelbach, M. L., &amp; Rolls, E. T. (2004). The functional neuroanatomy of the human orbitofrontal cortex: evidence from neuroimaging and neuropsychology. Progress in Neurobiology, 72(5), 341–372. https://doi.org/10.1016/j.pneurobio.2004.03.006

Li, Y., Zhang, L., Zhang, R., Xu, T., &amp; Feng, T. (2022). The Neural Basis Linking Achievement Motivation With Procrastination: Left Precuneus Connectivity With Right Anterior Cingulate Cortex. Personality &amp; Social Psychology Bulletin, 48(9), 1382–1392. https://doi.org/10.1177/01461672211040677
Morecraft, R. J., &amp; Yeterian, E. H. (2002). Prefrontal Cortex. Encyclopedia of the Human Brain, 11–26. https://doi.org/10.1016/b0-12-227210-2/00285-5

Namkung, H., Kim, S.-H., &amp; Sawa, A. (2017). The Insula: An Underestimated Brain Area in Clinical Neuroscience, Psychiatry, and Neurology. Trends in Neurosciences (Regular Ed.), 40(4), 200–207. https://doi.org/10.1016/j.tins.2017.02.002

Reeve, J., &amp; Lee, W. (2019). A neuroscientific perspective on basic psychological needs. Journal of Personality, 87(1), 102–114. https://doi.org/10.1111/jopy.12390

Rolls, E. T. (2023). Emotion, motivation, decision-making, the orbitofrontal cortex, anterior cingulate cortex, and the amygdala. Brain Structure and Function, 228(5), 1201–1257. https://doi.org/10.1007/s00429-023-02644-9

Rolls, E. T., Cheng, W., &amp; Feng, J. (2020). The orbitofrontal cortex: reward, emotion and depression. Brain Communications, 2(2), fcaa196. https://doi.org/10.1093/braincomms/fcaa196

Simpson, E. H., &amp; Balsam, P. D. (2016). The Behavioral Neuroscience of Motivation: an Overview of Concepts, Measures, and Translational Applications. Current Topics in Behavioral Neurosciences, 27(1), 1–12. https://doi.org/10.1007/7854_2015_402

Vo, T. T. D., Tuliao, K. V., &amp; Chen, C.-W. (2022). Work Motivation: The Roles of Individual Needs and Social Conditions. Behavioral Sciences, 12(2), 49. https://doi.org/10.3390/bs12020049

Watanabe, N., Bhanji, J. P., Tanabe, H. C., &amp; Delgado, M. R. (2019). Ventromedial prefrontal cortex contributes to performance success by controlling reward-driven arousal representation in amygdala. NeuroImage (Orlando, Fla.), 202, Article 116136. https://doi.org/10.1016/j.neuroimage.2019.116136

Xie, C., Jia, T., Rolls, E. T., Robbins, T. W., Sahakian, B. J., Zhang, J., Liu, Z., Cheng, W., Luo, Q., Zac Lo, C.-Y., Wang, H., Banaschewski, T., Barker, G. J., Bokde, A. L. W., Büchel, C., Quinlan, E. B., Desrivières, S., Flor, H., Grigis, A., … Zhang, Y. (2021). Reward Versus Nonreward Sensitivity of the Medial Versus Lateral Orbitofrontal Cortex Relates to the Severity of Depressive Symptoms. Biological Psychiatry : Cognitive Neuroscience and Neuroimaging, 6(3), 259–269. https://doi.org/10.1016/j.bpsc.2020.08.017

}}

==External links==
* [https://www.youtube.com/watch?v=i47_jiCsBMs 2-minute neuroscience: prefrontal cortex] (YouTube)
* [https://www.sciencedirect.com/topics/medicine-and-dentistry/prefrontal-cortex Collection of articles on the prefrontal cortex] (ScienceDirect)
* [https://www.sciencedirect.com/topics/psychology/orbitofrontal-cortex Collection of articles on the function of the orbitofrontal cortex] (ScienceDirect)
* [https://www.youtube.com/watch?v=vHrmiy4W9C0 Meet your master - getting to know your brain] (YouTube)

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__TOC__

==Overview==
{{RoundBoxTop|theme=13}}
[[File:Canva - Woman Feeling Emotional Stress.jpg|thumb|150px|'''Figure 1'''. Jasmine feeling emotional stress and procrastination about her studies ]]
;Case study 1

Meet Jasmine (see Figure 1), a high-achieving academic university student who suddenly finds herself unable to stay motivated. She has lost her desire, energy and enthusiasm for her academic studies despite knowing the importance of her goals. She usually loves her studies; however, she is procrastinating, avoids tasks, can't &quot;will&quot; herself to act and just feels depleted all the time. Psychotherapy has displayed no major depression, but neuroimaging later revealed that her prefrontal cortex is under-active.
{{RoundBoxBottom}}

The case raises a serious question whether [[motivation]] derives purely from desires and willpower, or is it overseen by the brain's control systems. Motivation can be understood as the internal drive that allows an individual to begin, guide, and maintain actions directed towards specific goals (Graham &amp; Weiner, 2012). Psychologically {{g}} motivation is found within an individuals{{g}} [[Cognition|thoughts]], [[Emotion|emotions]] and involves [[wikipedia:Belief|belief's]] about one's capabilities. However, motivation is also physiological; research has shown that motivation is deeply linked to our cortical structures within the brain (Rolls, 2023). Specifically, the [[wikipedia:Prefrontal_cortex|prefrontal cortex]], [[wikipedia:Anterior_cingulate_cortex|anterior cingulate cortex]], and the [[wikipedia:Insular_cortex|insular cortex]]. They are involved in goal-directed behaviour, monitoring performance, and emotional awareness (Rolls, 2023). Therefore, understanding and challenging the common idea that motivation or lack of is due to psychological reasons and instead focusing on the dysregulation of the cortical structures, will greatly benefit academic performance, athletic ability and professionalism in the workplace.

{{RoundBoxTop|theme=3}}
;Focus questions
* Which cortical structures are involved in generating and sustaining motivation?
* How do psychological theories explain cortical involvement in motivation?
* How do cortical systems interact in regulating effort?
* How can interpreting cortical systems improve motivation in real-world settings?
{{RoundBoxBottom}}

==Key cortical structures involved in motivation ==
Considering the impacts that cortical structures have on motivation have allowed teachers, practitioners, and coaches to determine why learning, reward value, decision-making, and [[wikipedia:Executive_functions|executive function]] relate, guide and energise motivation (Kim, 2013){{rewrite}}. Research has identified that sustaining motivation falls largely on the [[wikipedia:Striatum|striatum]] and the [[wikipedia:Orbitofrontal_cortex|orbitofrontal cortex]], as they evaluate stimuli (Kim, 2013). While control over goal-directed behaviour comes from the anterior cingulate cortex an area that regulates attention, and the [[wikipedia:Dorsolateral_prefrontal_cortex|dorsolateral prefrontal cortex]], an area that regulates cognitive control (Kim, 2013){{g}}. However, while a few structures are named more frequently in motivation research, the full impact of different cortical structures still continues to be explored in literature and several implications have been revealed from research (Kim, 2013).

=== Prefrontal cortex ===
[[File:Prefrontal cortex (left) animation.gif|thumb|'''Figure 2.''' Location of the prefrontal cortex on the left side of the brain]]

Located at the front of brain (see Figure 2), the [[wikipedia:Prefrontal_cortex|prefrontal cortex]] (PFC) is central to complex cognitive operations, including planning, reasoning, decision-making, regulating social behaviour, and exercising self-control (Harms &amp; Pollak, 2024). Thus, damage to the pre-frontal cortex can lead to inefficiency in socio-emotional regulation, incorrect evaluation of individuals moods around them, and importantly, planning, goal-attainment and problem-solving become impaired (Harms &amp; Pollak, 2024). A simplified review of PFC structures involvement in motivation can be seen in Table 1.

==== Dorsolateral prefrontal cortex ====
The [[wikipedia:Dorsolateral_prefrontal_cortex|dorsolateral prefrontal cortex]] (DLPFC), located in the upper to middle regions of the prefrontal cortex (PFC; see Figure 3), has been identified as a major driver of motivation. [[wikipedia:Functional_magnetic_resonance_imaging|Functional MRI]] (fMRI) has allowed researchers to examine more closely the relationship between goal-directed behaviour and the DLPFC in order to explain the neural basis of reward-driven behaviour (Ballard et al., 2011). Evidence indicates that the DLPFC is an important structure for receiving input from the dopamine system, guiding reward information from simple reaction-time tasks to long-term goals (Ballard et al., 2011). Research also suggests that the DLPFC plays a critical role in weighting the benefits of pursuing goals. Activation of the DLPFC enhances the representation of reward cues, integrating and transmitting this information to the [[wikipedia:Mesolimbic_pathway|mesolimbic]] and [[wikipedia:Mesocortical_pathway|mesocortical dopamine systems]] and thereby initiating motivation (Ballard et al., 2011). Additionally, under-activity of the DLPFC has been associated with [[amotivation]], a core feature of [[wikipedia:Major_depressive_disorder|major depressive disorder]] (MDD) (Bi et al., 2024). The DLPFC is therefore central in modulating effortful motivation. Studies have shown that stimulation of the DLPFC increases willingness to engage in reward-seeking behaviour (Bi et al., 2024). Specifically, [[wikipedia:Transcranial_magnetic_stimulation|transcranial magnetic stimulation]] (TMS) of the DLPFC enhances motivational attention, highlighting its potential as a therapeutic intervention for improving motivational energy and providing potential treatment for MDD (Bi et al., 2024). 

==== Ventromedial prefrontal cortex ====
[[File:PFC anatomy.png|thumb|379x379px|'''Figure 3.''' Location of each structure within the prefrontal cortex and how they are separated]]

The [[wikipedia:Ventromedial_prefrontal_cortex|ventromedial prefrontal cortex]] (vmPFC) is located in the posterior middle region of the prefrontal cortex (see Figure 3) and plays a key role in regulating reward-driven arousal during activity preparation to enhance motivation (Watanabe et al., 2019). The vmPFC supports motivational drive and task performance by controlling excessive [[wikipedia:Arousal|arousal]] that arises during the preparation of challenging tasks, when the likelihood of reward increases (Watanabe et al., 2019). Without regulation, this heightened arousal can lead to irrational and unstable behaviour, ultimately impairing performance. However, through its neural connection with the [[wikipedia:Amygdala|amygdala]], the vmPFC helps stabilise arousal responses and supports successful performance (Watanabe et al., 2019). Similarly, research demonstrated that during decision-making, [[wikipedia:Blood-oxygenation-level–dependent_imaging|blood-oxygen-level-dependent]] (BOLD) signals in the vmPFC have been shown to correlate with both expected values and reward or cost incentives, key factors that drive motivation (Hoven et al., 2022).   

==== Orbitofrontal cortex ====
The [[wikipedia:Orbitofrontal_cortex|orbitofrontal cortex]] (OFC) {{g}} found on the underside of the PFC (see Figure 3), regulates motivation by evaluating rewards and punishments (Morecraft &amp; Yeterian, 2002). Evidence suggests that the OFC drives goal-directed behaviour through the pursuit of rewards and the avoidance of punishments (Rolls, 2023). fMRI studies support this view, showing that the medial OFC becomes active when a reward is present, motivating individuals to continue the behaviour (Kringelbach &amp; Rolls, 2004). Conversely, the lateral OFC activates in response to potential punishments, prompting behavioural change to avoid negative outcomes (Kringelbach &amp; Rolls, 2004). Dysregulation of the OFC has been linked to depression, as the loss of an expected reward can trigger sadness and depressive symptoms (Rolls et al., 2020). In such cases, the OFC shows decreased functional connectivity, particularly under-responsiveness to reward stimulation in the medial OFC (Rolls et al., 2020). Treatments aimed at reducing depression and enhancing goal-directed behaviour, therefore, focus on decreasing lateral OFC connectivity while increasing medial OFC connectivity through stimulation (Rolls et al., 2020).

'''Table 1.'''

''Key structures within the prefrontal cortex and their motivational drive function.''
{| class=&quot;wikitable&quot; style=&quot;margin: auto;&quot;
|-
!Region within the PFC
!Role in Motivation
|-
|DLPFC
|Initiates and guides reward driven behaviour to achieve long-term goals by transmitting input to the mesolimbic and mesocorticlal{{sp}} dopamine system. 
|-
|vmPFC
|Controls excessive arousal that causes irrationally and thereby supporting motivation by controlling impulses that would harm the performance of a particular action or task. 
|-
|OFC
|Regulates and sustains adaptive motivation by weighing the cost or benefit of a reward or punishment.
|}

=== Anterior cingulate cortex ===
The [[wikipedia:Anterior_cingulate_cortex|anterior cingulate cortex]] (ACC), located on the medial surface of the [[wikipedia:Frontal_lobe|frontal lobe]], is responsible for enacting [[wikipedia:Inhibitory_control|inhibitory control]] during behaviour, namely, the ability to regulate or suppress potentially regretful actions (Alexander, 2020). Research suggests that the ACC facilitates the successful completion of hierarchical behaviours by grouping lower-level actions and completing them in accordance with [[wikipedia:Superordinate_goals|superordinate goals]], which are encoded within ACC [[wikipedia:Neuronal_ensemble|neural ensembles]] (Foinikianaki et al., 2025). In this way, the ACC exerts inhibitory control over behaviour through the evaluation of reward predictions at the onset of hierarchical tasks (Foinikianaki et al., 2025). Evidence further indicates that ACC activity is positively associated with task performance, reflected in greater accuracy and faster response times (Foinikianaki et al., 2025). Moreover, the ACC monitors motivation by evaluating reward contingencies, thereby guiding control over goal-directed behaviour (Foinikianaki et al., 2025). 

=== Insular cortex ===
[[File:Insula animation small.gif|thumb|'''Figure 4.''' Location of the insular cortex within the brain]]

The [[wikipedia:Insular_cortex|insular cortex]] is located deep within the [[wikipedia:Lateral_sulcus|lateral sulcus]] (see Figure 4), which separates the [[wikipedia:Temporal_lobe|temporal lobe]] from the frontal and [[wikipedia:Parietal_lobe|parietal lobes]] (Gogollo, 2017). It is active in all motivational behaviours and is implicated in risk prediction, self-awareness, decision-making, and motivation (Gogollo, 2017). Evidence suggests that the insular cortex functions as a linking network between cortical and subcortical structures, with strong connections to motivation and reward systems (Gogollo, 2017). The insular cortex also contributes to the [[wikipedia:Brain_mapping|brain mapping]] of bodily states necessary for upholding homeostasis. [[wikipedia:Interoception|Interoception]] occurs and is integrated with motivational signals to initiate behaviour (Namkung et al., 2017). It plays a role in [[wikipedia:Explicit|explicit]] motivation by driving engagement in behaviours that fulfil conscious desires (Namkung et al., 2017). Rewarding stimuli are therefore associated with feelings of joy, which increase the motivational drive to participate in rewarding behaviours. Conversely, aversive stimuli generate feelings of discomfort, leading to avoidance motivation and decreasing behaviour (Namkung et al., 2017).   

== Theoretical underpinning ==
Theories involving motivation propose and inform why individuals make a certain decision, or why behaviour consists{{huh}} over time. New concepts have been developed with four major factors being identified: 
# expectations
# social modelling
# self-regulation
# task value, goal-directed behaviour, and perceived costs or rewards (Hattie et al., 2020).

=== Dual-process theory ===
The [[wikipedia:Dual_process_theory|dual-process theory]] encompasses two systems that are distinct yet interconnected. System 1, often referred to as the automatic or “gut feeling” system, prepares an individual’s initial reaction to stimuli. It is fast, unconscious, and intuitive (Da Silva, 2023). In contrast, system 2 is the controlled or “thinking” system, responsible for adaptable reasoning and deliberate decision-making. Therefore, it operates consciously and system 2 can override the automatic responses generated by system 1 (Da Silva, 2023){{g}}.

Meta-analyses using fMRI research support this distinction, showing that different neural activations occur depending on the type of reasoning required. Specifically, the left PFC has been identified as essential for general reasoning ability (Da Silva, 2023). Further evidence suggests that during system 2 processing, the right inferior PFC is activated when logically correct decisions are made, supporting analytical thinking. Conversely, the vmPFC is engaged during system 1 processing, guiding intuitive and [[wikipedia:Heuristic|heuristic]] judgments when beliefs override logic (Da Silva, 2023). 

{{RoundBoxTop|theme=13}}'''Case study 2'''
Mia, who has recently been employed and works at a zoo, is shocked by the idea that not all birds can fly. Therefore, her vmPFC during system 2 has activated and she is relying on her personal understanding of animals. However, her belief is incorrect and has suppressed her logical reasoning, leading her to reject the conclusion that not all birds can fly.

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=== Reinforcement sensitivity theory ===
The [[wikipedia:Reinforcement_sensitivity_theory|reinforcement sensitivity theory]] proposes that motivational behaviour arises from three brain-based systems: the [[wikipedia:Behavioral_systems_analysis|behavioural approach system]] (BAS), the [[wikipedia:Gray's_biopsychological_theory_of_personality|behavioural inhibition system]] (BIS), and the [[wikipedia:Fight-or-flight_response|fight-flight-freeze system]] (FFFS) (Xie, 2021). The BAS responds to rewards, the BIS to punishments and missed rewards, and the FFFS prepares the body to face threats (Xie, 2021). Neuroimaging research has shown that the medial OFC exhibits stronger activation when anticipated rewards are larger, reflecting BAS activation and supporting motivation (Xie, 2021). Conversely, the lateral OFC shows greater activation when rewards are smaller or absent, engaging the BIS and motivating behavioural inhibition (Xie, 2021).

=== Self-determination theory ===
The [[wikipedia:Self-determination_theory|self-determination theory]] (SDT) posits that optimal human functioning requires the fulfilment and support of three basic psychological needs: [[wikipedia:Autonomy|autonomy]], [[wikipedia:Competence|competence]], and [[wiktionary:relatedness|relatedness]] (Reeve &amp; Lee, 2019). When these needs are supported, individuals experience greater [[intrinsic motivation]] and more autonomous forms of [[extrinsic motivation]] (Reeve &amp; Lee, 2019). fMRI research examining brain activity in response to situations involving these needs has identified motivational activation associated with each component of SDT (Reeve &amp; Lee, 2019). For competence-satisfying challenges, the anterior insular in both hemispheres is activated, integrating emotional self-awareness into decision-making (Reeve &amp; Lee, 2019). In autonomy-supportive situations, increased intrinsic motivation is linked to activation in both the anterior insular and the PFC, which integrate information from emotions, self-awareness, and personal meaning to stimulate the brain’s dopamine reward system and self-relatedness processes (Reeve &amp; Lee, 2019). Finally, in relatedness-satisfying contexts, the ACC has been shown to enhance intrinsic motivation through its role in attachment and bonding. Since feelings of belonging are both rewarding and self-satisfying, they amplify motivational drive to complete the task (Reeve &amp; Lee, 2019).   

== Cortical-motivational systems in real life contexts ==
Motivation is fundamental in behaviour and in the interaction that occurs between an individual and the world around them (Simpson &amp; Balsam, 2016). Human's{{g}} have basic motivational instincts to obtain food, water, shelter and social interactions, however, motivation is also crucial for optimal academic achievement, foster growth in the workplace, and importantly it explains the &quot;why&quot; behind behaviours, such as addiction (Simpson &amp; Balsam, 2016). 

=== Academic motivation ===
[[wikipedia:Procrastination|Procrastination]] is a growing issue in [[wikipedia:Academic_achievement|academic achievement]], referring to the act of unnecessarily delaying a task or goal despite the awareness of potential negative consequences (Li et al., 2021). Previous research suggests that the likelihood of procrastination decreases as [[wikipedia:Need_for_achievement|achievement motivation]] increases (Li et al., 2021). Achievement motivation is linked to academic success because it reflects the drive to succeed and the need to accomplish goals (Li et al., 2021). Studies have revealed that the DLPFC and ACC are key regions within the self-control network, connecting them with procrastination through their role in impulse regulation (Li et al., 2021). These regions regulate procrastination and enhance academic achievement by modulating an individual’s bias toward task outcomes (Li et al., 2021). This means that cortical structures place less emphasis on potential negative outcomes and more on positive ones during decision-making (Li et al., 2021). Consequently, this promotes study engagement, persistence, and discipline, ultimately leading to greater learning and higher academic results (Li et al., 2021).

{{RoundBoxTop|theme=3}}
;Test yourself
&lt;quiz display=&quot;simple&quot;&gt;
{Procrastination refers to delaying a task despite knowing there will be negative consequence:
|type=&quot;()&quot;}
+ True
- False

{Cortical structures in academic motivation place more emphasis on negative outcomes:
|type=&quot;()&quot;}
- True
+ False
&lt;/quiz&gt;

{{RoundBoxBottom}}

=== Workplace motivation ===
[[File:Burnout_At_Work_-_Occupational_Burnout.jpg|thumb|'''Figure 5.''' A young man is experiencing burnout while attempting to finish multiple projects for his work]]

Experiencing workplace motivation is crucial for career success. It drives individuals to grow, challenge themselves, and become more competitive in their work (Vo et al., 2022). Research has demonstrated that satisfying social relatedness and autonomy is associated with increased work motivation (Vo et al., 2022). However, satisfying competence can decrease motivation, as individuals may feel superior to their co-workers, leading to reduced effort (Vo et al., 2022). Additionally, having control over work activities enhances confidence and motivation, while support from colleagues further increases employees’ commitment and effort toward their organisation (Vo et al., 2022). During periods of strong work motivation, the anterior insular, PFC, and ACC show greater activation to support drive and concentration (Vo et al., 2022). Conversely, when these cortical regions are under-active, it can result in burnout (see Figure 5), stress, and feelings of inadequacy in the workplace, as the dopamine system becomes less responsive when rewards are insufficient (Vo et al., 2022).

=== Addiction  ===
[[File:Generated_picture_of_guilty_girl_after_overeating.png|thumb|150px|'''Figure 6.''' A girl feels guilty after overeating and doesn't understand why she did it, as she wasn't hungry but continued anyway{{ic|looks like the food hasn't been eaten}}]]

Research has also identified that when the PFC does not function optimally, individuals are at a greater risk of developing [[wikipedia:Addiction|addiction]] (Goldstein &amp; Volkow, 2011). Individuals with PFC dysfunction are more likely to become addicted to various stimuli, such as food (see Figure 6) or drugs (Goldstein &amp; Volkow, 2011). Studies have shown that during drug use, the PFC becomes overactive, reflecting heightened craving for drugs (Goldstein &amp; Volkow, 2011). Conversely, when not taking drugs or engaging in tasks that require decision-making, the PFC exhibits reduced activity (Goldstein &amp; Volkow, 2011). This pattern of overactivation during drug use and underactivation during normal motivational tasks is associated with greater addiction severity and an increased likelihood of relapse (Goldstein &amp; Volkow, 2011). Research has also shown that dysfunction in PFC regions such as the DLPFC, vmPFC, OFC, have resulted in impaired response inhibition and salience attribution (IRISA) in addiction behaviours (Goldstein &amp; Volkow, 2011). This is the neurophysiological mechanisms {{gr}} hat describes the development of impulsive behaviours cravings and impaired self awareness, when the individual is in need of help (Goldstein &amp; Volkow, 2011).

==Conclusion==
The chapter discussed the importance of cortical regions and their role in motivation. The PFC is divided into the DLPFC, vmPFC, and the OFC. The DLPFC is responsible for reward driven behaviour, the vmPFC is responsible for controlling arousal, and the OFC is responsible for the cost and benefit analysis of rewards or punishments. The ACC and insular are also important cortical regions in motivation as they are involved in risk prediction and inhibitory control. Research has explained cortical region involvement in motivation through dual-process theory, reinforcement sensitivity theory, and the STD. The dual-process theory explains that motivation occurs from two intertwined systems known as system 1, the automatic system, and system 2, the controlled system. Reinforcement sensitivity theory suggests that motivation is regulated by three brain systems in reaction to rewards or punishments. Finally, the STD system demonstrates that optimal motivation arise from satisfying basic psychological needs for autonomy, competence, and relatedness. Furthermore, interpreting cortical systems improves motivation in real-world settings, because it informs teachers on how to create better engagement and reduce procrastination. It will enable employers to better motivate their employees through self-determination and supporting them to give them better confidence, and it will reduce addiction levels in society, because cortical regions explain why people are motivated to continue in addicting behaviours. Furthermore, this research demonstrates the crucial role of cortical regions in understanding and enhancing motivation, offering insights for performance, wellbeing, and behavioural improvements across all domains of life.

==See also==
* [[Motivation and emotion/Book/2022/Insular cortex and emotion|Insular cortex and emotion]] (Book chapter, 2022)
* [[wikipedia:Motivation|Motivation]] (Wikipedia)
* [[Motivation and emotion/Book/2015/Prefrontal cortex and emotion|Prefrontal cortex and emotion]] (Book chapter, 2015) 
* [[Motivation and emotion/Book/2011/Self-determination theory|Self-determination theory]] (Book chapter, 2011)
* [[Motivation and emotion/Book/2024/Work motivation and self-determination theory|Work motivation and self-determination theory]] (Book chapter, 2024)

==References==
{{Hanging indent|1=

Alexander, W. H. (2020). The surprising role of anterior cingulate in motivated control. Research Communities by Springer Nature; Springer Nature. https://communities.springernature.com/posts/the-surprising-role-of-anterior-cingulate-in-motivated-control

Ballard, I. C., Murty, V. P., Carter, R. M., MacInnes, J. J., Huettel, S. A., &amp; Adcock, R. A. (2011). Dorsolateral Prefrontal Cortex Drives Mesolimbic Dopaminergic Regions to Initiate Motivated Behavior. The Journal of Neuroscience, 31(28), 10340–10346. https://doi.org/10.1523/JNEUROSCI.0895-11.2011

Bi, R., Zhao, Y., Li, S., Xu, F., Peng, W., Tan, S., &amp; Zhang, D. (2024). Brain stimulation over the left DLPFC enhances motivation for effortful rewards in patients with major depressive disorder. Journal of Affective Disorders, 356, 414–423. https://doi.org/10.1016/j.jad.2024.04.064

Da Silva, S. (2023). System 1 vs. System 2 Thinking. Psych, 5(4), 1057–1076. https://doi.org/10.3390/psych5040071

Foinikianaki, E., Ikink, I., Colin, T. R., Alejandro, R. J., &amp; Holroyd, C. B. (2025). ACC representations of reward-driven motivation over hierarchically-organized behavior. NeuroImage (Orlando, Fla.), 317, Article 121380. https://doi.org/10.1016/j.neuroimage.2025.121380

Gogolla, N. (2017). The insular cortex. Current Biology, 27(12), R580–R586. https://doi.org/10.1016/j.cub.2017.05.010

Goldstein, R. Z., &amp; Volkow, N. D. (2011). Dysfunction of the prefrontal cortex in addiction: neuroimaging findings and clinical implications. Nature Reviews. Neuroscience, 12(11), 652–669. https://doi.org/10.1038/nrn3119

Graham, S., &amp; Weiner, B. (2012). APA PsycNet. Psycnet.apa.org. https://psycnet.apa.org/record/2011-11701-013

Harms, M. B., &amp; Pollak, S. D. (2024). Emotion regulation. ScienceDirect; Elsevier. https://www.sciencedirect.com/science/article/abs/pii/B9780323960236000361

Hattie, J., Hodis, F. A., &amp; Kang, S. H. K. (2020). Theories of motivation: Integration and ways forward. Contemporary Educational Psychology, 61(1), 101865. https://doi.org/10.1016/j.cedpsych.2020.101865

Hoven, M., Brunner, G., de Boer, N. S., Goudriaan, A. E., Denys, D., van Holst, R. J., Luigjes, J., &amp; Lebreton, M. (2022). Motivational signals disrupt metacognitive signals in the human ventromedial prefrontal cortex. Communications Biology, 5(1), Article 244. https://doi.org/10.1038/s42003-022-03197-z

Kim, S. (2013). Neuroscientific Model of Motivational Process. Frontiers in Psychology, 4, 98. https://doi.org/10.3389/fpsyg.2013.00098

Kringelbach, M. L., &amp; Rolls, E. T. (2004). The functional neuroanatomy of the human orbitofrontal cortex: evidence from neuroimaging and neuropsychology. Progress in Neurobiology, 72(5), 341–372. https://doi.org/10.1016/j.pneurobio.2004.03.006

Li, Y., Zhang, L., Zhang, R., Xu, T., &amp; Feng, T. (2022). The Neural Basis Linking Achievement Motivation With Procrastination: Left Precuneus Connectivity With Right Anterior Cingulate Cortex. Personality &amp; Social Psychology Bulletin, 48(9), 1382–1392. https://doi.org/10.1177/01461672211040677
Morecraft, R. J., &amp; Yeterian, E. H. (2002). Prefrontal Cortex. Encyclopedia of the Human Brain, 11–26. https://doi.org/10.1016/b0-12-227210-2/00285-5

Namkung, H., Kim, S.-H., &amp; Sawa, A. (2017). The Insula: An Underestimated Brain Area in Clinical Neuroscience, Psychiatry, and Neurology. Trends in Neurosciences (Regular Ed.), 40(4), 200–207. https://doi.org/10.1016/j.tins.2017.02.002

Reeve, J., &amp; Lee, W. (2019). A neuroscientific perspective on basic psychological needs. Journal of Personality, 87(1), 102–114. https://doi.org/10.1111/jopy.12390

Rolls, E. T. (2023). Emotion, motivation, decision-making, the orbitofrontal cortex, anterior cingulate cortex, and the amygdala. Brain Structure and Function, 228(5), 1201–1257. https://doi.org/10.1007/s00429-023-02644-9

Rolls, E. T., Cheng, W., &amp; Feng, J. (2020). The orbitofrontal cortex: reward, emotion and depression. Brain Communications, 2(2), fcaa196. https://doi.org/10.1093/braincomms/fcaa196

Simpson, E. H., &amp; Balsam, P. D. (2016). The Behavioral Neuroscience of Motivation: an Overview of Concepts, Measures, and Translational Applications. Current Topics in Behavioral Neurosciences, 27(1), 1–12. https://doi.org/10.1007/7854_2015_402

Vo, T. T. D., Tuliao, K. V., &amp; Chen, C.-W. (2022). Work Motivation: The Roles of Individual Needs and Social Conditions. Behavioral Sciences, 12(2), 49. https://doi.org/10.3390/bs12020049

Watanabe, N., Bhanji, J. P., Tanabe, H. C., &amp; Delgado, M. R. (2019). Ventromedial prefrontal cortex contributes to performance success by controlling reward-driven arousal representation in amygdala. NeuroImage (Orlando, Fla.), 202, Article 116136. https://doi.org/10.1016/j.neuroimage.2019.116136

Xie, C., Jia, T., Rolls, E. T., Robbins, T. W., Sahakian, B. J., Zhang, J., Liu, Z., Cheng, W., Luo, Q., Zac Lo, C.-Y., Wang, H., Banaschewski, T., Barker, G. J., Bokde, A. L. W., Büchel, C., Quinlan, E. B., Desrivières, S., Flor, H., Grigis, A., … Zhang, Y. (2021). Reward Versus Nonreward Sensitivity of the Medial Versus Lateral Orbitofrontal Cortex Relates to the Severity of Depressive Symptoms. Biological Psychiatry : Cognitive Neuroscience and Neuroimaging, 6(3), 259–269. https://doi.org/10.1016/j.bpsc.2020.08.017

}}

==External links==
* [https://www.youtube.com/watch?v=i47_jiCsBMs 2-minute neuroscience: prefrontal cortex] (YouTube)
* [https://www.sciencedirect.com/topics/medicine-and-dentistry/prefrontal-cortex Collection of articles on the prefrontal cortex] (ScienceDirect)
* [https://www.sciencedirect.com/topics/psychology/orbitofrontal-cortex Collection of articles on the function of the orbitofrontal cortex] (ScienceDirect)
* [https://www.youtube.com/watch?v=vHrmiy4W9C0 Meet your master - getting to know your brain] (YouTube)

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==Overview==
{{RoundBoxTop|theme=13}}
[[File:Canva - Woman Feeling Emotional Stress.jpg|thumb|150px|'''Figure 1'''. Jasmine feeling emotional stress and procrastination about her studies ]]
;Case study 1

Meet Jasmine (see Figure 1), a high-achieving academic university student who suddenly finds herself unable to stay motivated. She has lost her desire, energy and enthusiasm for her academic studies despite knowing the importance of her goals. She usually loves her studies; however, she is procrastinating, avoids tasks, can't &quot;will&quot; herself to act and just feels depleted all the time. Psychotherapy has displayed no major depression, but neuroimaging later revealed that her prefrontal cortex is under-active.
{{RoundBoxBottom}}

The case raises a serious question whether [[motivation]] derives purely from desires and willpower, or is it overseen by the brain's control systems. Motivation can be understood as the internal drive that allows an individual to begin, guide, and maintain actions directed towards specific goals (Graham &amp; Weiner, 2012). Psychologically {{g}} motivation is found within an individuals{{g}} [[Cognition|thoughts]], [[Emotion|emotions]] and involves [[wikipedia:Belief|belief's]] about one's capabilities. However, motivation is also physiological; research has shown that motivation is deeply linked to our cortical structures within the brain (Rolls, 2023). Specifically, the [[wikipedia:Prefrontal_cortex|prefrontal cortex]], [[wikipedia:Anterior_cingulate_cortex|anterior cingulate cortex]], and the [[wikipedia:Insular_cortex|insular cortex]]. They are involved in goal-directed behaviour, monitoring performance, and emotional awareness (Rolls, 2023). Therefore, understanding and challenging the common idea that motivation or lack of is due to psychological reasons and instead focusing on the dysregulation of the cortical structures, will greatly benefit academic performance, athletic ability and professionalism in the workplace.

{{RoundBoxTop|theme=3}}
;Focus questions
* Which cortical structures are involved in generating and sustaining motivation?
* How do psychological theories explain cortical involvement in motivation?
* How do cortical systems interact in regulating effort?
* How can interpreting cortical systems improve motivation in real-world settings?
{{RoundBoxBottom}}

==Key cortical structures involved in motivation ==
Considering the impacts that cortical structures have on motivation have allowed teachers, practitioners, and coaches to determine why learning, reward value, decision-making, and [[wikipedia:Executive_functions|executive function]] relate, guide and energise motivation (Kim, 2013){{rewrite}}. Research has identified that sustaining motivation falls largely on the [[wikipedia:Striatum|striatum]] and the [[wikipedia:Orbitofrontal_cortex|orbitofrontal cortex]], as they evaluate stimuli (Kim, 2013). While control over goal-directed behaviour comes from the anterior cingulate cortex an area that regulates attention, and the [[wikipedia:Dorsolateral_prefrontal_cortex|dorsolateral prefrontal cortex]], an area that regulates cognitive control (Kim, 2013){{g}}. However, while a few structures are named more frequently in motivation research, the full impact of different cortical structures still continues to be explored in literature and several implications have been revealed from research (Kim, 2013).

=== Prefrontal cortex ===
[[File:Prefrontal cortex (left) animation.gif|thumb|'''Figure 2.''' Location of the prefrontal cortex on the left side of the brain]]

Located at the front of brain (see Figure 2), the [[wikipedia:Prefrontal_cortex|prefrontal cortex]] (PFC) is central to complex cognitive operations, including planning, reasoning, decision-making, regulating social behaviour, and exercising self-control (Harms &amp; Pollak, 2024). Thus, damage to the pre-frontal cortex can lead to inefficiency in socio-emotional regulation, incorrect evaluation of individuals moods around them, and importantly, planning, goal-attainment and problem-solving become impaired (Harms &amp; Pollak, 2024). A simplified review of PFC structures involvement in motivation can be seen in Table 1.

==== Dorsolateral prefrontal cortex ====
The [[wikipedia:Dorsolateral_prefrontal_cortex|dorsolateral prefrontal cortex]] (DLPFC), located in the upper to middle regions of the prefrontal cortex (PFC; see Figure 3), has been identified as a major driver of motivation. [[wikipedia:Functional_magnetic_resonance_imaging|Functional MRI]] (fMRI) has allowed researchers to examine more closely the relationship between goal-directed behaviour and the DLPFC in order to explain the neural basis of reward-driven behaviour (Ballard et al., 2011). Evidence indicates that the DLPFC is an important structure for receiving input from the dopamine system, guiding reward information from simple reaction-time tasks to long-term goals (Ballard et al., 2011). Research also suggests that the DLPFC plays a critical role in weighting the benefits of pursuing goals. Activation of the DLPFC enhances the representation of reward cues, integrating and transmitting this information to the [[wikipedia:Mesolimbic_pathway|mesolimbic]] and [[wikipedia:Mesocortical_pathway|mesocortical dopamine systems]] and thereby initiating motivation (Ballard et al., 2011). Additionally, under-activity of the DLPFC has been associated with [[amotivation]], a core feature of [[wikipedia:Major_depressive_disorder|major depressive disorder]] (MDD) (Bi et al., 2024). The DLPFC is therefore central in modulating effortful motivation. Studies have shown that stimulation of the DLPFC increases willingness to engage in reward-seeking behaviour (Bi et al., 2024). Specifically, [[wikipedia:Transcranial_magnetic_stimulation|transcranial magnetic stimulation]] (TMS) of the DLPFC enhances motivational attention, highlighting its potential as a therapeutic intervention for improving motivational energy and providing potential treatment for MDD (Bi et al., 2024). 

==== Ventromedial prefrontal cortex ====
[[File:PFC anatomy.png|thumb|379x379px|'''Figure 3.''' Location of each structure within the prefrontal cortex and how they are separated]]

The [[wikipedia:Ventromedial_prefrontal_cortex|ventromedial prefrontal cortex]] (vmPFC) is located in the posterior middle region of the prefrontal cortex (see Figure 3) and plays a key role in regulating reward-driven arousal during activity preparation to enhance motivation (Watanabe et al., 2019). The vmPFC supports motivational drive and task performance by controlling excessive [[wikipedia:Arousal|arousal]] that arises during the preparation of challenging tasks, when the likelihood of reward increases (Watanabe et al., 2019). Without regulation, this heightened arousal can lead to irrational and unstable behaviour, ultimately impairing performance. However, through its neural connection with the [[wikipedia:Amygdala|amygdala]], the vmPFC helps stabilise arousal responses and supports successful performance (Watanabe et al., 2019). Similarly, research demonstrated that during decision-making, [[wikipedia:Blood-oxygenation-level–dependent_imaging|blood-oxygen-level-dependent]] (BOLD) signals in the vmPFC have been shown to correlate with both expected values and reward or cost incentives, key factors that drive motivation (Hoven et al., 2022).   

==== Orbitofrontal cortex ====
The [[wikipedia:Orbitofrontal_cortex|orbitofrontal cortex]] (OFC) {{g}} found on the underside of the PFC (see Figure 3), regulates motivation by evaluating rewards and punishments (Morecraft &amp; Yeterian, 2002). Evidence suggests that the OFC drives goal-directed behaviour through the pursuit of rewards and the avoidance of punishments (Rolls, 2023). fMRI studies support this view, showing that the medial OFC becomes active when a reward is present, motivating individuals to continue the behaviour (Kringelbach &amp; Rolls, 2004). Conversely, the lateral OFC activates in response to potential punishments, prompting behavioural change to avoid negative outcomes (Kringelbach &amp; Rolls, 2004). Dysregulation of the OFC has been linked to depression, as the loss of an expected reward can trigger sadness and depressive symptoms (Rolls et al., 2020). In such cases, the OFC shows decreased functional connectivity, particularly under-responsiveness to reward stimulation in the medial OFC (Rolls et al., 2020). Treatments aimed at reducing depression and enhancing goal-directed behaviour, therefore, focus on decreasing lateral OFC connectivity while increasing medial OFC connectivity through stimulation (Rolls et al., 2020).

'''Table 1.'''

''Key structures within the prefrontal cortex and their motivational drive function.''
{| class=&quot;wikitable&quot; style=&quot;margin: auto;&quot;
|-
!Region within the PFC
!Role in Motivation
|-
|DLPFC
|Initiates and guides reward driven behaviour to achieve long-term goals by transmitting input to the mesolimbic and mesocorticlal{{sp}} dopamine system. 
|-
|vmPFC
|Controls excessive arousal that causes irrationally and thereby supporting motivation by controlling impulses that would harm the performance of a particular action or task. 
|-
|OFC
|Regulates and sustains adaptive motivation by weighing the cost or benefit of a reward or punishment.
|}

=== Anterior cingulate cortex ===
The [[wikipedia:Anterior_cingulate_cortex|anterior cingulate cortex]] (ACC), located on the medial surface of the [[wikipedia:Frontal_lobe|frontal lobe]], is responsible for enacting [[wikipedia:Inhibitory_control|inhibitory control]] during behaviour, namely, the ability to regulate or suppress potentially regretful actions (Alexander, 2020). Research suggests that the ACC facilitates the successful completion of hierarchical behaviours by grouping lower-level actions and completing them in accordance with [[wikipedia:Superordinate_goals|superordinate goals]], which are encoded within ACC [[wikipedia:Neuronal_ensemble|neural ensembles]] (Foinikianaki et al., 2025). In this way, the ACC exerts inhibitory control over behaviour through the evaluation of reward predictions at the onset of hierarchical tasks (Foinikianaki et al., 2025). Evidence further indicates that ACC activity is positively associated with task performance, reflected in greater accuracy and faster response times (Foinikianaki et al., 2025). Moreover, the ACC monitors motivation by evaluating reward contingencies, thereby guiding control over goal-directed behaviour (Foinikianaki et al., 2025). 

=== Insular cortex ===
[[File:Insula animation small.gif|thumb|'''Figure 4.''' Location of the insular cortex within the brain]]

The [[wikipedia:Insular_cortex|insular cortex]] is located deep within the [[wikipedia:Lateral_sulcus|lateral sulcus]] (see Figure 4), which separates the [[wikipedia:Temporal_lobe|temporal lobe]] from the frontal and [[wikipedia:Parietal_lobe|parietal lobes]] (Gogollo, 2017). It is active in all motivational behaviours and is implicated in risk prediction, self-awareness, decision-making, and motivation (Gogollo, 2017). Evidence suggests that the insular cortex functions as a linking network between cortical and subcortical structures, with strong connections to motivation and reward systems (Gogollo, 2017). The insular cortex also contributes to the [[wikipedia:Brain_mapping|brain mapping]] of bodily states necessary for upholding homeostasis. [[wikipedia:Interoception|Interoception]] occurs and is integrated with motivational signals to initiate behaviour (Namkung et al., 2017). It plays a role in [[wikipedia:Explicit|explicit]] motivation by driving engagement in behaviours that fulfil conscious desires (Namkung et al., 2017). Rewarding stimuli are therefore associated with feelings of joy, which increase the motivational drive to participate in rewarding behaviours. Conversely, aversive stimuli generate feelings of discomfort, leading to avoidance motivation and decreasing behaviour (Namkung et al., 2017).   

== Theoretical underpinning ==
Theories involving motivation propose and inform why individuals make a certain decision, or why behaviour consists{{huh}} over time. New concepts have been developed with four major factors being identified: 
# expectations
# social modelling
# self-regulation
# task value, goal-directed behaviour, and perceived costs or rewards (Hattie et al., 2020).

=== Dual-process theory ===
The [[wikipedia:Dual_process_theory|dual-process theory]] encompasses two systems that are distinct yet interconnected. System 1, often referred to as the automatic or “gut feeling” system, prepares an individual’s initial reaction to stimuli. It is fast, unconscious, and intuitive (Da Silva, 2023). In contrast, system 2 is the controlled or “thinking” system, responsible for adaptable reasoning and deliberate decision-making. Therefore, it operates consciously and system 2 can override the automatic responses generated by system 1 (Da Silva, 2023){{g}}.

Meta-analyses using fMRI research support this distinction, showing that different neural activations occur depending on the type of reasoning required. Specifically, the left PFC has been identified as essential for general reasoning ability (Da Silva, 2023). Further evidence suggests that during system 2 processing, the right inferior PFC is activated when logically correct decisions are made, supporting analytical thinking. Conversely, the vmPFC is engaged during system 1 processing, guiding intuitive and [[wikipedia:Heuristic|heuristic]] judgments when beliefs override logic (Da Silva, 2023). 

{{RoundBoxTop|theme=13}}'''Case study 2'''
Mia, who has recently been employed and works at a zoo, is shocked by the idea that not all birds can fly. Therefore, her vmPFC during system 2 has activated and she is relying on her personal understanding of animals. However, her belief is incorrect and has suppressed her logical reasoning, leading her to reject the conclusion that not all birds can fly.

{{RoundBoxBottom}}

=== Reinforcement sensitivity theory ===
The [[wikipedia:Reinforcement_sensitivity_theory|reinforcement sensitivity theory]] proposes that motivational behaviour arises from three brain-based systems: the [[wikipedia:Behavioral_systems_analysis|behavioural approach system]] (BAS), the [[wikipedia:Gray's_biopsychological_theory_of_personality|behavioural inhibition system]] (BIS), and the [[wikipedia:Fight-or-flight_response|fight-flight-freeze system]] (FFFS) (Xie, 2021). The BAS responds to rewards, the BIS to punishments and missed rewards, and the FFFS prepares the body to face threats (Xie, 2021). Neuroimaging research has shown that the medial OFC exhibits stronger activation when anticipated rewards are larger, reflecting BAS activation and supporting motivation (Xie, 2021). Conversely, the lateral OFC shows greater activation when rewards are smaller or absent, engaging the BIS and motivating behavioural inhibition (Xie, 2021).

=== Self-determination theory ===
The [[wikipedia:Self-determination_theory|self-determination theory]] (SDT) posits that optimal human functioning requires the fulfilment and support of three basic psychological needs: [[wikipedia:Autonomy|autonomy]], [[wikipedia:Competence|competence]], and [[wiktionary:relatedness|relatedness]] (Reeve &amp; Lee, 2019). When these needs are supported, individuals experience greater [[intrinsic motivation]] and more autonomous forms of [[extrinsic motivation]] (Reeve &amp; Lee, 2019). fMRI research examining brain activity in response to situations involving these needs has identified motivational activation associated with each component of SDT (Reeve &amp; Lee, 2019). For competence-satisfying challenges, the anterior insular in both hemispheres is activated, integrating emotional self-awareness into decision-making (Reeve &amp; Lee, 2019). In autonomy-supportive situations, increased intrinsic motivation is linked to activation in both the anterior insular and the PFC, which integrate information from emotions, self-awareness, and personal meaning to stimulate the brain’s dopamine reward system and self-relatedness processes (Reeve &amp; Lee, 2019). Finally, in relatedness-satisfying contexts, the ACC has been shown to enhance intrinsic motivation through its role in attachment and bonding. Since feelings of belonging are both rewarding and self-satisfying, they amplify motivational drive to complete the task (Reeve &amp; Lee, 2019).   

== Cortical-motivational systems in real life contexts ==
Motivation is fundamental in behaviour and in the interaction that occurs between an individual and the world around them (Simpson &amp; Balsam, 2016). Human's{{g}} have basic motivational instincts to obtain food, water, shelter and social interactions, however, motivation is also crucial for optimal academic achievement, foster growth in the workplace, and importantly it explains the &quot;why&quot; behind behaviours, such as addiction (Simpson &amp; Balsam, 2016). 

=== Academic motivation ===
[[wikipedia:Procrastination|Procrastination]] is a growing issue in [[wikipedia:Academic_achievement|academic achievement]], referring to the act of unnecessarily delaying a task or goal despite the awareness of potential negative consequences (Li et al., 2021). Previous research suggests that the likelihood of procrastination decreases as [[wikipedia:Need_for_achievement|achievement motivation]] increases (Li et al., 2021). Achievement motivation is linked to academic success because it reflects the drive to succeed and the need to accomplish goals (Li et al., 2021). Studies have revealed that the DLPFC and ACC are key regions within the self-control network, connecting them with procrastination through their role in impulse regulation (Li et al., 2021). These regions regulate procrastination and enhance academic achievement by modulating an individual’s bias toward task outcomes (Li et al., 2021). This means that cortical structures place less emphasis on potential negative outcomes and more on positive ones during decision-making (Li et al., 2021). Consequently, this promotes study engagement, persistence, and discipline, ultimately leading to greater learning and higher academic results (Li et al., 2021).

{{RoundBoxTop|theme=3}}
;Test yourself
&lt;quiz display=&quot;simple&quot;&gt;
{Procrastination refers to delaying a task despite knowing there will be negative consequence:
|type=&quot;()&quot;}
+ True
- False

{Cortical structures in academic motivation place more emphasis on negative outcomes:
|type=&quot;()&quot;}
- True
+ False
&lt;/quiz&gt;

{{RoundBoxBottom}}

=== Workplace motivation ===
[[File:Burnout_At_Work_-_Occupational_Burnout.jpg|thumb|'''Figure 5.''' A young man is experiencing burnout while attempting to finish multiple projects for his work]]

Experiencing workplace motivation is crucial for career success. It drives individuals to grow, challenge themselves, and become more competitive in their work (Vo et al., 2022). Research has demonstrated that satisfying social relatedness and autonomy is associated with increased work motivation (Vo et al., 2022). However, satisfying competence can decrease motivation, as individuals may feel superior to their co-workers, leading to reduced effort (Vo et al., 2022). Additionally, having control over work activities enhances confidence and motivation, while support from colleagues further increases employees’ commitment and effort toward their organisation (Vo et al., 2022). During periods of strong work motivation, the anterior insular, PFC, and ACC show greater activation to support drive and concentration (Vo et al., 2022). Conversely, when these cortical regions are under-active, it can result in burnout (see Figure 5), stress, and feelings of inadequacy in the workplace, as the dopamine system becomes less responsive when rewards are insufficient (Vo et al., 2022).

=== Addiction  ===
[[File:Drug addict.jpg|thumb|150px|'''Figure 6.''' During drug use, the PFC becomes overactive, reflecting heightened craving for drugs]]

Research has also identified that when the PFC does not function optimally, individuals are at a greater risk of developing [[wikipedia:Addiction|addiction]] (Goldstein &amp; Volkow, 2011). Individuals with PFC dysfunction are more likely to become addicted to various stimuli, such as food or drugs (Goldstein &amp; Volkow, 2011). Studies have shown that during drug use, the PFC becomes overactive, reflecting heightened craving for drugs (see Figure 6) (Goldstein &amp; Volkow, 2011). Conversely, when not taking drugs or engaging in tasks that require decision-making, the PFC exhibits reduced activity (Goldstein &amp; Volkow, 2011). This pattern of overactivation during drug use and underactivation during normal motivational tasks is associated with greater addiction severity and an increased likelihood of relapse (Goldstein &amp; Volkow, 2011). Research has also shown that dysfunction in PFC regions such as the DLPFC, vmPFC, OFC, have resulted in impaired response inhibition and salience attribution (IRISA) in addiction behaviours (Goldstein &amp; Volkow, 2011). This is the neurophysiological mechanisms {{gr}} hat describes the development of impulsive behaviours cravings and impaired self awareness, when the individual is in need of help (Goldstein &amp; Volkow, 2011).

==Conclusion==
The chapter discussed the importance of cortical regions and their role in motivation. The PFC is divided into the DLPFC, vmPFC, and the OFC. The DLPFC is responsible for reward driven behaviour, the vmPFC is responsible for controlling arousal, and the OFC is responsible for the cost and benefit analysis of rewards or punishments. The ACC and insular are also important cortical regions in motivation as they are involved in risk prediction and inhibitory control. Research has explained cortical region involvement in motivation through dual-process theory, reinforcement sensitivity theory, and the STD. The dual-process theory explains that motivation occurs from two intertwined systems known as system 1, the automatic system, and system 2, the controlled system. Reinforcement sensitivity theory suggests that motivation is regulated by three brain systems in reaction to rewards or punishments. Finally, the STD system demonstrates that optimal motivation arise from satisfying basic psychological needs for autonomy, competence, and relatedness. Furthermore, interpreting cortical systems improves motivation in real-world settings, because it informs teachers on how to create better engagement and reduce procrastination. It will enable employers to better motivate their employees through self-determination and supporting them to give them better confidence, and it will reduce addiction levels in society, because cortical regions explain why people are motivated to continue in addicting behaviours. Furthermore, this research demonstrates the crucial role of cortical regions in understanding and enhancing motivation, offering insights for performance, wellbeing, and behavioural improvements across all domains of life.

==See also==
* [[Motivation and emotion/Book/2022/Insular cortex and emotion|Insular cortex and emotion]] (Book chapter, 2022)
* [[wikipedia:Motivation|Motivation]] (Wikipedia)
* [[Motivation and emotion/Book/2015/Prefrontal cortex and emotion|Prefrontal cortex and emotion]] (Book chapter, 2015) 
* [[Motivation and emotion/Book/2011/Self-determination theory|Self-determination theory]] (Book chapter, 2011)
* [[Motivation and emotion/Book/2024/Work motivation and self-determination theory|Work motivation and self-determination theory]] (Book chapter, 2024)

==References==
{{Hanging indent|1=

Alexander, W. H. (2020). The surprising role of anterior cingulate in motivated control. Research Communities by Springer Nature; Springer Nature. https://communities.springernature.com/posts/the-surprising-role-of-anterior-cingulate-in-motivated-control

Ballard, I. C., Murty, V. P., Carter, R. M., MacInnes, J. J., Huettel, S. A., &amp; Adcock, R. A. (2011). Dorsolateral Prefrontal Cortex Drives Mesolimbic Dopaminergic Regions to Initiate Motivated Behavior. The Journal of Neuroscience, 31(28), 10340–10346. https://doi.org/10.1523/JNEUROSCI.0895-11.2011

Bi, R., Zhao, Y., Li, S., Xu, F., Peng, W., Tan, S., &amp; Zhang, D. (2024). Brain stimulation over the left DLPFC enhances motivation for effortful rewards in patients with major depressive disorder. Journal of Affective Disorders, 356, 414–423. https://doi.org/10.1016/j.jad.2024.04.064

Da Silva, S. (2023). System 1 vs. System 2 Thinking. Psych, 5(4), 1057–1076. https://doi.org/10.3390/psych5040071

Foinikianaki, E., Ikink, I., Colin, T. R., Alejandro, R. J., &amp; Holroyd, C. B. (2025). ACC representations of reward-driven motivation over hierarchically-organized behavior. NeuroImage (Orlando, Fla.), 317, Article 121380. https://doi.org/10.1016/j.neuroimage.2025.121380

Gogolla, N. (2017). The insular cortex. Current Biology, 27(12), R580–R586. https://doi.org/10.1016/j.cub.2017.05.010

Goldstein, R. Z., &amp; Volkow, N. D. (2011). Dysfunction of the prefrontal cortex in addiction: neuroimaging findings and clinical implications. Nature Reviews. Neuroscience, 12(11), 652–669. https://doi.org/10.1038/nrn3119

Graham, S., &amp; Weiner, B. (2012). APA PsycNet. Psycnet.apa.org. https://psycnet.apa.org/record/2011-11701-013

Harms, M. B., &amp; Pollak, S. D. (2024). Emotion regulation. ScienceDirect; Elsevier. https://www.sciencedirect.com/science/article/abs/pii/B9780323960236000361

Hattie, J., Hodis, F. A., &amp; Kang, S. H. K. (2020). Theories of motivation: Integration and ways forward. Contemporary Educational Psychology, 61(1), 101865. https://doi.org/10.1016/j.cedpsych.2020.101865

Hoven, M., Brunner, G., de Boer, N. S., Goudriaan, A. E., Denys, D., van Holst, R. J., Luigjes, J., &amp; Lebreton, M. (2022). Motivational signals disrupt metacognitive signals in the human ventromedial prefrontal cortex. Communications Biology, 5(1), Article 244. https://doi.org/10.1038/s42003-022-03197-z

Kim, S. (2013). Neuroscientific Model of Motivational Process. Frontiers in Psychology, 4, 98. https://doi.org/10.3389/fpsyg.2013.00098

Kringelbach, M. L., &amp; Rolls, E. T. (2004). The functional neuroanatomy of the human orbitofrontal cortex: evidence from neuroimaging and neuropsychology. Progress in Neurobiology, 72(5), 341–372. https://doi.org/10.1016/j.pneurobio.2004.03.006

Li, Y., Zhang, L., Zhang, R., Xu, T., &amp; Feng, T. (2022). The Neural Basis Linking Achievement Motivation With Procrastination: Left Precuneus Connectivity With Right Anterior Cingulate Cortex. Personality &amp; Social Psychology Bulletin, 48(9), 1382–1392. https://doi.org/10.1177/01461672211040677
Morecraft, R. J., &amp; Yeterian, E. H. (2002). Prefrontal Cortex. Encyclopedia of the Human Brain, 11–26. https://doi.org/10.1016/b0-12-227210-2/00285-5

Namkung, H., Kim, S.-H., &amp; Sawa, A. (2017). The Insula: An Underestimated Brain Area in Clinical Neuroscience, Psychiatry, and Neurology. Trends in Neurosciences (Regular Ed.), 40(4), 200–207. https://doi.org/10.1016/j.tins.2017.02.002

Reeve, J., &amp; Lee, W. (2019). A neuroscientific perspective on basic psychological needs. Journal of Personality, 87(1), 102–114. https://doi.org/10.1111/jopy.12390

Rolls, E. T. (2023). Emotion, motivation, decision-making, the orbitofrontal cortex, anterior cingulate cortex, and the amygdala. Brain Structure and Function, 228(5), 1201–1257. https://doi.org/10.1007/s00429-023-02644-9

Rolls, E. T., Cheng, W., &amp; Feng, J. (2020). The orbitofrontal cortex: reward, emotion and depression. Brain Communications, 2(2), fcaa196. https://doi.org/10.1093/braincomms/fcaa196

Simpson, E. H., &amp; Balsam, P. D. (2016). The Behavioral Neuroscience of Motivation: an Overview of Concepts, Measures, and Translational Applications. Current Topics in Behavioral Neurosciences, 27(1), 1–12. https://doi.org/10.1007/7854_2015_402

Vo, T. T. D., Tuliao, K. V., &amp; Chen, C.-W. (2022). Work Motivation: The Roles of Individual Needs and Social Conditions. Behavioral Sciences, 12(2), 49. https://doi.org/10.3390/bs12020049

Watanabe, N., Bhanji, J. P., Tanabe, H. C., &amp; Delgado, M. R. (2019). Ventromedial prefrontal cortex contributes to performance success by controlling reward-driven arousal representation in amygdala. NeuroImage (Orlando, Fla.), 202, Article 116136. https://doi.org/10.1016/j.neuroimage.2019.116136

Xie, C., Jia, T., Rolls, E. T., Robbins, T. W., Sahakian, B. J., Zhang, J., Liu, Z., Cheng, W., Luo, Q., Zac Lo, C.-Y., Wang, H., Banaschewski, T., Barker, G. J., Bokde, A. L. W., Büchel, C., Quinlan, E. B., Desrivières, S., Flor, H., Grigis, A., … Zhang, Y. (2021). Reward Versus Nonreward Sensitivity of the Medial Versus Lateral Orbitofrontal Cortex Relates to the Severity of Depressive Symptoms. Biological Psychiatry : Cognitive Neuroscience and Neuroimaging, 6(3), 259–269. https://doi.org/10.1016/j.bpsc.2020.08.017

}}

==External links==
* [https://www.youtube.com/watch?v=i47_jiCsBMs 2-minute neuroscience: prefrontal cortex] (YouTube)
* [https://www.sciencedirect.com/topics/medicine-and-dentistry/prefrontal-cortex Collection of articles on the prefrontal cortex] (ScienceDirect)
* [https://www.sciencedirect.com/topics/psychology/orbitofrontal-cortex Collection of articles on the function of the orbitofrontal cortex] (ScienceDirect)
* [https://www.youtube.com/watch?v=vHrmiy4W9C0 Meet your master - getting to know your brain] (YouTube)

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__TOC__

==Overview==
{{RoundBoxTop|theme=5}}
[[File:Regret facial expression.jpg|thumb|'''Image 1'''. A woman with a facial expression of regret]]

;Imagine ...

Anna, a 22-year-old university student, wakes up after a spontaneous weekend tattoo. Its her ex-partner’s name inked on her wrist. Weeks later, after a breakup, she feels a surge of regret: the tattoo no longer reflects her identity and brings daily discomfort. Should she wait and see if the feeling passes, cover it up, or opt for removal?
{{RoundBoxBottom}}

[[wikipedia:Tattoo|Tattoo]] regret refers to the dissatisfaction or remorse a person feels after getting a tattoo, often due to changes in personal identity, impulsive decision-making, poor artistic quality, or social and professional pressures. While tattoos are intended as lasting expressions of self, they can lose their significance over time, become associated with unwanted memories, or cause practical challenges in work or relationships. Research suggests that 16.2% of people with tattoos experience regret at some point, highlighting the importance of understanding both its causes and solutions (Liszewski et al., 2015). Management options range from non-invasive approaches such as allowing time for reflection or opting for a cover-up to medical interventions like laser [[wikipedia:Tattoo_removal|tattoo removal]]. This topic raises important questions: What psychological and social factors drive tattoo regret, and how can individuals make informed, lasting choices about body art?

'''Key points'''
* Tattoo regret can stem from shifting identity, impulsive decisions, poor aesthetic outcomes, or social/professional concerns.
* Regret varies in onset and intensity with some feeling it immediately, others years later.
* Several coping strategies exist such as healing time, cover-ups, removal. These all carry with varying costs, benefits, and risks.

{{RoundBoxTop|theme=5}}
'''Focus questions [[Image:Nuvola_apps_ktip.png|right|90px]]'''

* Why do people regret tattoos?
* How does regret evolve over time?
* What theoretical frameworks help explain tattoo regret?
* What practical options exist for managing regret, and what considerations apply?
{{RoundBoxBottom}}

== Key definitions and scope ==
[[File:19-Loading rotary tattoo machine needle tip with ink.jpg|thumb|'''Image 2'''. Loading rotary tattoo machine needle tip with ink. Work done by tattoo artist Jenna Haas.]]

'''Tattoo regret''' can be defined as the negative affective evaluation of a previous tattoo decision (Altunay et al., 2022). It can involve dissatisfaction with appearance, a sense of misalignment with personal identity, or a strong desire for removal. Importantly, regret exists on a continuum, ranging from mild annoyance to significant psychological distress. Dissatisfaction refers to concern with specific features such as fading ink or poor line quality. Ambivalence is marked by mixed feelings toward the tattoo, where a person may feel pride in one context but shame in another. Decisional regret is a reflective appraisal that the choice itself was wrong, often accompanied by counterfactual thinking such as “I should have done things differently.{{f}}

Empirical studies suggest that between 14 and 25% of tattooed individuals report some form of regret (Swami et al., 2022). Timing varies widely: some experience immediate regret within weeks, often due to poor healing or impulsive decision making, while others develop regret years later as identities shift, careers evolve, or cultural norms change{{f}}. Delayed regret is especially common during life transitions such as entering professional roles, becoming parents, or experiencing relationship breakdowns when tattoos commemorate a partner{{f}}.

Tattoos are now mainstream, with surveys indicating that 30–40% of adults in many [[wikipedia:Western_world|Western countries]] have at least one tattoo (Pew Research Center, 2023). Despite their popularity, tattoos remain permanent [[wikipedia:Body_modification|body modifications]]. Regret can therefore have lasting consequences for psychological wellbeing, finances, and occupational mobility. The cost of removal averages thousands of dollars and involves painful, time-intensive procedures with no guarantee of complete erasure.

== Theoretical frameworks (theory &amp; research) ==
{{ic|Include an introductory paragraph before branching into sub-sections}}

=== '''[https://pmc.ncbi.nlm.nih.gov/articles/PMC1911167/ Psychodermatology]''' ===
Emotion, identity, and self-expression are deeply intertwined with skin art. Psychodermatology views the skin not only as a physical surface but also as an interface between body and self (Altunay et al., 2021). From this perspective, dermatological complications such as scarring, pigment unevenness, or ghosting are not just cosmetic problems. They become visible reminders of imperfection that can intensify negative emotions and fuel regret. Tattoos that do not heal properly, or that respond unpredictably to removal procedures, can undermine body image. In this framework, regret is produced both by symbolic misalignment and by dissatisfaction with the physical condition of the canvas itself (Kluger, 2019).

=== '''Identity and self-concept theory''' ===
Tattoos can act as symbolic commitments to aspects of the self. Identity theory suggests that as individuals evolve across life stages, tattoos may become inconsistent with their current identity{{f}}. When tattoos no longer reflect who someone believes they are, they can prompt identity threat and distancing. Tattoo regret in this framework{{f}} functions as a signal of identity change and as an attempt to realign external self-expression with an updated internal self. Studies on temporal self-appraisal support this idea, showing that people often perceive their past selves as less authentic or disconnected from their current identity (Ross &amp; Wilson, 2003).

=== '''Decision-affect and [[wikipedia:Regret_(decision_theory)|regret theory]]''' ===
Decision-affect and regret theories explain how regret occurs when people compare actual outcomes with imagined alternatives. Tattoos, because they are relatively permanent, invite strong counterfactual thinking such as “if only I had waited” or “I could have chosen differently.” The permanence of tattoos increases the psychological weight of these counterfactuals. Regret is especially acute when individuals believe they acted impulsively but could have made a more deliberate choice, reinforcing feelings of responsibility for the outcome (Bleichrodt et al., 2009; Atik &amp; Yιldιrιm, 2014).

=== '''[[wikipedia:Cognitive_dissonance|Cognitive dissonance]] theory''' ===
Cognitive dissonance theory highlights the discomfort that arises when tattoos conflict with current social roles or values{{f}}. For instance, a tattoo obtained to symbolise rebellion may later feel incompatible with the requirements of a conservative professional environment. In order to reduce this dissonance, people may adopt different coping strategies such as reframing the meaning of the tattoo, covering it in social or professional settings, or pursuing removal{{f}}. This ongoing tension underscores how regret is shaped not only by individual decision-making but also by shifting social roles and expectations (Broussard &amp; Harton, 2017; Timming &amp; Perrett, 2016).

{{RoundBoxTop|theme=2}}Case study: Sarahs story

Sarah got a tattoo on her forearm at 19 to symbolise independence and rebellion. Several years later, she began working in a conservative law firm where visible tattoos were discouraged. The values represented by her tattoo no longer fit with the professional image expected at work, creating discomfort. To cope, Sarah reframed the tattoo’s meaning, covered it with clothing, and eventually considered laser removal. This case shows how regret can arise when tattoos become incompatible with new social roles, and how people use strategies such as reframing, concealment, or removal to reduce dissonance
{{RoundBoxBottom}}

=== '''Stigma and labelling perspectives''' ===
Tattoos often reflect youthful rebellion, but as cultural norms shift they may become misaligned with evolving identities, particularly when they were acquired impulsively (Madfis &amp; Arford, 2013). Stigma and labelling theories{{f}} emphasise that external judgments and stereotypes strongly influence internal experience. A visible tattoo can trigger labels such as “unprofessional” or “outsider,” which in turn shape self-concept and heighten regret. Motivations for tattoo removal often extend beyond aesthetics, with many individuals citing public criticism and workplace stigma as decisive factors (Sharifi &amp; Nouri, 2025). This demonstrates that tattoo regret is not purely an individual phenomenon but a product of wider cultural and institutional contexts.

Taken together, psychodermatology, identity change, regret theory, cognitive dissonance, and labelling perspectives explain why regret persists even as tattoos become mainstream. Psychodermatology accounts for distress when the physical outcome falls short. Identity and temporal self-appraisal explain why meaning drifts with life stage. Regret theory clarifies why durable and controllable choices evoke counterfactuals. Dissonance and labelling show how role demands and stigma intensify discomfort. No single theory suffices; the evidence indicates multiple, partly independent routes to regret, which implies that prevention and remediation should be tailored to pathway.

== Causes of tattoo regret ==
Identity shifts over time can make tattoos feel incongruent with personal growth (Sear, 2015). Tattoo regret arises from an interplay of psychological processes, social contexts, and decision-related factors (see Table 1)

'''Table 1.''' Causes of tattoo regret
{| class=&quot;wikitable&quot;
|+
!Category
!Key cause
!Description
!Example
|-
|Psychological factors
|Identity change &amp; cognitive dissonance
|As people grow and their self-concept evolves, tattoos may feel out of sync with current identity or roles, creating regret and discomfort.
|A tattoo that represented rebellion at 18 feels unprofessional at 30.
|-
|Social factors
|Social stigma &amp; feedback
|Negative reactions from peers, family, or employers, and broader cultural stigma can amplify regret, particularly for visible tattoos.
|Co-workers criticise a visible tattoo, leading to embarrassment.
|-
|Decision/tattoo-related factors
|Impulsivity, poor planning, or visible placement
|Rushed or impulsive decisions without planning, or tattoos in highly visible areas, often increase likelihood of long-term dissatisfaction.
|A spur-of-the-moment wrist tattoo becomes a source of regret in conservative workplaces.
|-
|Health &amp; healing factors
|Complications in healing/aftercare
|Poor healing, infections, or scarring can distort tattoos, making the final result disappointing and regret more likely.
|Improper aftercare causes scarring that alters the tattoo design.
|}

'''Psychological and developmental factors'''

Psychological factors include identity change over time, where designs meaningful at 18 may feel incompatible by 30 when new professional, relational, or cultural roles emerge. Research on temporal self-appraisal shows that people often distance themselves from past selves (Ross &amp; Wilson, 2003), making earlier tattoo choices seem alien. Adolescents may lack emotional regulation or foresight, leading to higher regret rates (Dukes, 2016) with impulsivity and sensation-seeking being further contributors, as many regretted tattoos are acquired in contexts of heightened arousal such as nights out or travel adventures, where foresight is limited. Cognitive dissonance also plays a role, as tattoos can create discomfort when they conflict with current values or roles. For example, a rebellious design may create dissonance when the same individual later seeks acceptance in conservative professional settings (Nanay, 2023). Unrealistic expectations about permanence, quality, or social acceptance often lead to disappointment, particularly when tattoos age poorly or when the emotional meaning attached to them fades.

'''Social and situational influences'''

Social and situational factors often amplify tattoo regret. Social feedback plays a central role, with praise and acceptance reinforcing satisfaction while criticism or stigma provoke shame and dissatisfaction. Tattoos acquired in moments of peer pressure, intoxication, or during transient life stages such as relationships are especially vulnerable to later regret. Cultural and occupational norms also shape this process, as acceptance of tattoos varies across societies and professions. In conservative or religious contexts, tattoos may be associated with deviance, which increases regret when individuals internalise stigma. Regret is also strongly influenced by career concerns and unwanted attention, particularly when tattoos are highly visible or linked to relationships (Dickson et al., 2014).

'''Decision-making and tattoo characteristics'''

Decision-related and tattoo characteristics play a crucial role in shaping regret{{f}}. Regret is less common when individuals carefully research artists, iterate on designs, and consider long-term relevance, while poor planning or hasty choices about design, artist, or placement significantly increase the likelihood of dissatisfaction (Resnick, 2025). Placement and visibility are especially important, as tattoos on the hands, neck, or face often produce greater long-term regret, particularly in professional settings where appearance norms are strict. Design choices also matter, with trend-sensitive motifs and partner names strongly associated with regret due to their transient meanings. Smaller tattoos obtained on a whim are more often regretted, whereas larger or more personally meaningful tattoos are less likely to trigger dissatisfaction (Advanced Dermatology, 2025). Finally, poor aftercare can result in infections, scarring, or pigment distortion, which compromise appearance and intensify regret{{f}}.

{{RoundBoxTop|theme=6}}&lt;quiz display=simple&gt;
{Tattoos placed on highly visible areas, such as the hands or neck, are less likely to be regretted because they are easily displayed.
|type=&quot;()&quot;}
- True
+ False
&lt;/quiz&gt;

&lt;quiz display=simple&gt;
{Identity change over time can make a tattoo that once felt meaningful seem out of sync with a person’s current self-concept.
|type=&quot;()&quot;}
+ True
- False
&lt;/quiz&gt;

&lt;quiz display=simple&gt;
{Poor planning and impulsive decision-making increase the likelihood of tattoo regret.
|type=&quot;()&quot;}
+ True
- False
&lt;/quiz&gt;

{{RoundBoxBottom}}

== Previous research ==
{{ic|Include an introductory paragraph before branching into sub-sections}}

=== Prevalence, timing and statistics ===
Tattoo regret is common worldwide, but prevalence rates vary across populations and cultural contexts. In a U.S. cross-sectional survey of 501 tattooed adults, 16.2% reported regretting at least one tattoo and 21.2% expressed interest in removal (Liszewski et al., 2015). Complications were frequently reported, including infection (3.2%), pain (3.8%), and pruritus{{explain}} (21.2%), and these were associated with dissatisfaction. Risk behaviours were also common: more than one in five participants had been tattooed while intoxicated and 17.6% had received tattoos outside professional parlours, both practices linked to higher regret{{f}}. These findings highlight the role of impulsive decision-making and unsafe conditions in shaping long-term outcomes.

In Turkey, regret rates were higher. A multi-centre dermatology outpatient study found that 26% of 302 patients regretted at least one tattoo, and among these, 42.5% had pursued removal or camouflage through a cover-up (Altunay et al., 2022). The most common reason for regret was simply “not liking the tattoo anymore,” demonstrating that dissatisfaction often emerges independently of medical complications. The study also reported demographic patterns, with women more likely to cite motivations such as individuality or beauty, while overall motivations included independence, self-image, and aesthetics.

Together, these studies illustrate how regret is shaped by a combination of physical complications, impulsive behaviour, and shifting identity or aesthetic preferences. They also suggest that regret is not uniform but context-dependent, reflecting the interplay of psychological, social, and cultural factors (Morlock et al., 2017).

=== International studies ===
Evidence from international research shows that tattoo regret is a widespread but context-dependent phenomenon. In the United States, the study by Liszewski et al. (2015) found that of the 16.2% that regretted at least one tattoo presented with common risk factors including tattoos obtained while intoxicated, tattoos placed outside professional parlours, and complications such as infection, pain, and pruritus. These findings highlight how impulsive decision-making and unsafe practices amplify dissatisfaction. In Turkey, Altunay et al. (2022) reported higher regret rates, with 26% of dermatology outpatients expressing dissatisfaction and 42.5% pursuing either removal or camouflage through cover-ups. Notably, the most common reason for regret was simply “not liking the tattoo anymore,” and gender differences emerged in motivations, with women more likely to describe tattoos as expressions of individuality or beauty. This suggests that regret is shaped by both cultural norms and personal identity trajectories.

Findings from Saudi Arabia provide further insight into the demographic and cultural context of tattoo regret. A recent survey by Mitwalli &amp; Alfurayh (2024) of 181 tattooed individuals, most of whom were women, showed that nearly half had obtained their first tattoo between 18 and 25 years of age, with cosmetic tattoos such as eyebrow micro-pigmentation especially common. Regret and dissatisfaction were often linked to appearance, lifestyle, and professional concerns, and complications such as pain, itching, and scarring contributed to diminished quality of life. Consistent with other international samples, many participants expressed interest in removal, with lasers recognised as the most effective but imperfect method.

[[File:Vitiligo misto.jpg|thumb|'''Image 3'''. A photograph of a man with vitiligo]]

Tattoo regret is not solely psychological but can also be medical in origin. Yadav et al. (2020) described cases in India where tattoos were sought as camouflage for dermatological conditions such as [[wikipedia:Vitiligo|vitiligo]] (see Image 3.) and [[wikipedia:Morphea|morphea]]. In these instances, tattooing reactivated disease processes and worsened lesions due to [[wikipedia:Koebner_phenomenon|Koebner’s phenomenon]], leaving patients with both medical complications and regret. These cases underscore how social pressures, misinformation, and medical vulnerability intersect with tattoo practices, broadening the understanding of regret beyond impulsivity or symbolic misalignment.

Taken together, these international studies demonstrate that tattoo regret is common across cultures but manifests differently depending on context. In Western settings, regret often reflects impulsive choices, stigma, or identity shifts. In Middle Eastern contexts, cosmetic tattoos and cultural attitudes toward appearance and professionalism are especially salient. In South Asian settings, medical complications and therapeutic tattooing add another dimension. Collectively, this research reinforces that tattoo regret is a multidimensional phenomenon shaped by identity, social meaning, health, and cultural expectations.

== Managing tattoo regret: Practical applications ==
{{RoundBoxTop|theme=5}}Tattoo Removal experts advise waiting 2–4 weeks for healing; regret may fade as the tattoo settles.

Reflection time allows assessing whether regret is transient or persistent.
{{RoundBoxBottom}}

[[File:Laser tattoo removal.ogv|thumb|'''Image 4'''. Laser tattoo removal]]

=== '''Coping strategies''' ===
Include normalising identity change (accepting that people evolve), selective concealment (e.g. clothing or sleeves), and meaning reappraisal (re-narrating the tattoo’s story). Psychological [[wikipedia:Outline_of_counseling|counselling]] or body-image therapy may benefit those for whom regret causes distress.
[[File:Laser Tattoo Removal Alice Pien MD AMAskincare.jpg|thumb|'''Image 5.''' Laser tattoo removal causes frosting. An indication of the breakdown of tattoo pigment]]

=== '''Cover-ups''' ===
Using new designs to mask or integrate old tattoos. '''Cover-ups''' are often effective but come with compromises: the new design usually must be larger, darker, or more complex, and perfect masking is not guaranteed. Satisfaction is higher when clients have realistic expectations.

=== '''Laser''' [[wikipedia:Tattoo_removal|'''removal''']] ===
'''Laser removal''' (see Image 4. and Image 5.) is the most direct approach. It generally requires multiple sessions (often 6–15 or more depending on size, ink colour, layering, and skin type). Success is incomplete in many cases; residual ghosting, scarring, hypopigmentation, or skin texture changes are common even with current laser technologies (e.g. selective photothermolysis, picosecond lasers). [[wikipedia:Kirby–Desai_Scale|The Kirby–Desai Scale]]  is a clinically used predictive scoring system to estimate the number of sessions needed based on skin type, ink density, location, scarring, etc. 

=== Surgical removal ===
'''Surgical removal''' is a less common but sometimes necessary option for tattoo regret. Techniques such as excision involve cutting out the tattooed skin and stitching the wound closed, which is generally only feasible for small designs. Larger tattoos may require staged excisions or skin grafting, both of which carry higher risks of scarring, infection, and altered skin texture (Kluger, 2019). While surgery offers immediate removal, it is considered a last resort when other methods such as laser treatment are ineffective or unsuitable, and patients must weigh the permanence of scarring against the psychological relief of eliminating the tattoo.

Psychological motivation is often central in removal decisions: many patients cite regret, shame, or social pressures more than aesthetic dislike (Sharifi &amp; Nouri, 2025). Post-removal psychological outcomes remain under-researched, but preliminary evidence suggests some people gain confidence, reduced stigma, and better social reception (especially in justice-involved populations) (Motivations for Seeking Laser Tattoo Removal, 2022).

{{RoundBoxTop|theme=6}}
&lt;quiz display=simple&gt;
{Laser removal typically guarantees complete tattoo erasure in just one or two sessions.
|type=&quot;()&quot;}
- True
+ False
&lt;/quiz&gt;

&lt;quiz display=simple&gt;
{Cover-ups are often effective but usually require larger, darker, or more complex designs, and perfect masking is not always possible.
|type=&quot;()&quot;}
+ True
- False
&lt;/quiz&gt;
{{RoundBoxBottom}}

== Broader implications and future directions ==
Tattoo regret has implications that reach beyond individual dissatisfaction. At a psychological level, it highlights the tension between permanence and human change. Tattoos fix a moment of self-expression on the body, but identity continues to evolve. This tension reflects wider challenges in life where decisions are difficult to reverse, such as cosmetic procedures, elective surgeries, or even financial commitments. Research on temporal self-appraisal shows that people often distance themselves from their past selves (Ross &amp; Wilson, 2003), which helps explain why tattoos that once felt meaningful may later feel foreign. Understanding regret in this context provides insights into how people adapt to long-term decisions that become misaligned with their present identity.

From a social perspective, tattoo regret demonstrates how stigma and cultural labelling influence personal meaning. Tattoos have historically been associated with deviance, subcultures, or rebellion (Madfis &amp; Arford, 2013). Even as tattoos become more mainstream, visible tattoos can still attract workplace stigma and criticism, shaping regret and motivating removal (Sharifi &amp; Nouri, 2025). Cross-cultural work will be valuable in clarifying whether regret decreases as social acceptance rises, or whether it persists primarily because of psychological and identity factors.

Future research should address several gaps. Longitudinal studies are needed to track how regret develops over time and what predicts it across the life course. Clinical and psychodermatological research could also examine outcomes of different coping strategies, such as re-narration or concealment compared to removal, since current evidence is limited (Altunay et al., 2021). Testing preventative interventions, such as cooling-off periods or future-self reflection exercises, would also be important in reducing regret incidence. Additionally, more research on post-removal outcomes is necessary, as early findings suggest that removal can improve confidence and social integration, particularly in justice-involved populations (Motivations for Seeking Laser Tattoo Removal, 2022)

{{tip|Case study: Sam’s story

Sam, a 19-year-old apprentice chef, decided to get his first tattoo during a weekend trip with friends. Encouraged by the group and wanting to mark the occasion, he chose a small, colourful design on his forearm depicting a cartoon character he loved as a teenager. At the time, the decision felt exciting and spontaneous.

Within months, Sam began to feel uneasy about the tattoo. As he progressed in his career, he noticed colleagues making occasional comments about it, and he worried it looked unprofessional during customer-facing shifts. The once-favourite cartoon character now seemed out of place with his maturing sense of style. Sam found himself covering the tattoo with long sleeves, even in the summer.

After researching his options, Sam initially considered laser removal but was deterred by the high cost and multiple sessions required. Instead, he consulted a skilled tattoo artist about a cover-up design. Together, they created a new piece incorporating a minimalist botanical motif that felt more timeless and personally meaningful. The process helped Sam feel ownership over his body again and turned an impulsive choice into an expression he was proud to show.

Discussion questions
* Which factors in Sam’s case contributed most to his tattoo regret?
* How might Sam have avoided this outcome before getting the tattoo?
* What psychological processes (e.g., identity change, social pressure) are illustrated here?
* How does Sam’s choice of a cover-up reflect one way of managing tattoo regret?

}}

==Conclusion==
Tattoo regret illustrates how motivation and emotion influence human behaviour through the interplay of identity, decision-making, and social context. Many people are motivated to get tattoos to express individuality, affirm belonging, or enhance self-image. Yet over time, identity shifts, evolving social expectations, and changes in the tattoo’s appearance can transform pride into dissatisfaction. Psychological theories clarify these processes. Identity and self-concept theory explain why tattoos that once felt authentic may later appear misaligned with the current self (Ross &amp; Wilson, 2003). Decision-affect and regret theory highlight how irreversible choices increase counterfactual thinking and magnify dissatisfaction (Zeelenberg &amp; Pieters, 2007). Cognitive dissonance theory shows how tattoos that conflict with present values or roles create discomfort, leading people to reframe meaning, conceal the tattoo, or pursue removal (Festinger, 1957). Psychodermatology adds that scarring, pigment irregularities, and fading can intensify regret by making imperfections visible (Altunay et al., 2021). Stigma and labeling perspectives further demonstrate how external judgments and workplace norms shape internal experiences of regret (Madfis &amp; Arford, 2013; Sharifi &amp; Nouri, 2025).

Empirical research confirms that regret is common but variable across populations. Prevalence ranges from 16 to 25 percent in U.S. samples (Liszewski et al., 2015; Morlock et al., 2017) to 26 percent among Turkish dermatology patients (Altunay et al., 2022). The most frequent triggers include impulsive decision-making, intoxication, visible placement, and dissatisfaction with artistic or physical outcomes. Regret may emerge immediately, due to poor healing or impulsivity, or years later, as identities shift and cultural or occupational expectations change.

The focus questions can now be answered. People regret tattoos when they become misaligned with identity or values, when social stigma reshapes their meaning, or when physical complications undermine satisfaction. Regret evolves over time, shaped by life transitions and social pressures. Psychological science offers multiple frameworks to explain this complexity and highlights practical coping options, from reappraisal and concealment to cover-ups and removal. The central take-home message is that while tattoos are intended as permanent expressions of identity, human lives and roles change, making thoughtful decision-making and realistic expectations essential in reducing regret.

==See also==
* [[wikipedia:Body_modification|Body modifications]] (Wikipedia)
* [[wikipedia:Cognitive_dissonance|Cognitive dissonance]] (Wikipedia)
* [[wikipedia:Outline_of_counseling|Counselling]] (Wikipedia)
* [[wikipedia:Koebner_phenomenon|Koebner phenomenon]] (Wikipedia)
* [[wikipedia:Morphea|Morphea]] (Wikipedia)
* [[wikipedia:Psychodermatology|Psychodermatology]] (Wikipedia)
* [[wikipedia:Regret_(decision_theory)|Regret theory]] (Wikipedia)
* [[wikipedia:Tattoo|Tattoo]] (Wikipedia)
* [[wikipedia:Tattoo_removal|Tattoo removal]] (Wikipedia) 
* [[wikipedia:Kirby–Desai_Scale|The Kirby–Desai Scale]] (Wikipedia)
* [[wikipedia:Vitiligo|Vitiligo]] (Wikipedia)
* [[wikipedia:Western_world|Western Countries]] (Wikipedia)

== References ==
{{Hanging indent|1=

Atik, D., &amp; Yιldιrιm, C. (2014). Motivations behind acquiring tattoos and feelings of regret: Highlights from an Eastern Mediterranean context. Journal of Consumer Behaviour, 13(3), 212–223. https://doi.org/10.1002/cb.1480

Bleichrodt, H., Cillo, A., &amp; Diecidue, E. (2010). A Quantitative Measurement of Regret Theory. Management Science, 56(1), 161–175. https://doi.org/10.1287/mnsc.1090.1097

Broussard, K. A., &amp; Harton, H. C. (2018). Tattoo or taboo? Tattoo stigma and negative attitudes toward tattooed individuals. The Journal of Social Psychology, 158(5), 521–540. https://doi.org/10.1080/00224545.2017.1373622

Dickson, L., Dukes, R., Smith, H., &amp; Strapko, N. (2014). Stigma of ink: Tattoo attitudes among college students. ''The Social Science Journal'', ''51''(2), 265–276. https://doi.org/10.1016/j.soscij.2014.02.005

Dukes, R. L. (2016). Regret among tattooed adolescents. ''The Social Science Journal'', ''53''(4), 455–458. https://doi.org/10.1016/j.soscij.2016.08.004

Kıvanç Altunay, İ., Mercan, S., &amp; Özkur, E. (2021). Tattoos in Psychodermatology. ''Psych'', ''3''(3), 269–278. https://doi.org/10.3390/psych3030021

Liszewski, W., Kream, E., Helland, S., Cavigli, A., Lavin, B. C., &amp; Murina, A. (2015). The Demographics and Rates of Tattoo Complications, Regret, and Unsafe Tattooing Practices. Dermatologic Surgery, 41(11), 1283–1289. https://doi.org/10.1097/dss.0000000000000500

Madfis, E., &amp; Arford, T. (2013). The dilemmas of embodied symbolic representation: Regret in contemporary American tattoo narratives. ''The Social Science Journal'', ''50''(4), 547–556. https://doi.org/10.1016/j.soscij.2013.07.012

Mitwalli, H., &amp; Alfurayh, N. (2024). Tattoo Regret, Complications, and Removal: A Cross‐Sectional Study among Tattooed Individuals in Saudi Arabia. Dermatology Research and Practice, 2024(1). https://doi.org/10.1155/2024/5673785

Schaeffer, K., &amp; Dinesh, S. (2023, August 15). ''32% of Americans have a tattoo, including 22% who have more than one''. Pew Research Center. https://www.pewresearch.org/short-reads/2023/08/15/32-of-americans-have-a-tattoo-including-22-who-have-more-than-one/?utm_

Timming, A. R., &amp; Perrett, D. (2016). Trust and mixed signals: A study of religion, tattoos and cognitive dissonance. Personality and Individual Differences, 97, 234–238. https://doi.org/10.1016/j.paid.2016.03.067

Yadav, P., Yadav, A., Yadav, J., &amp; Chander, R. (2020). Tattoo for camouflage: A new cause of tattoo regret. Indian Dermatology Online Journal, 11(2), 250. https://doi.org/10.4103/idoj.idoj_189_19

}}

==External links==
[https://tattoopathway.com/tattoo-regret-insights-statistics-advice/ Navigating Tattoo Regret: Insights, Statistics, and Advice] (TattooPathway)

[https://www.byrdie.com/tattoo-regret-11779253 So, You Regret Your Tattoo—Now What? We Asked the Pros] (Byrdie)

[https://www.bps.org.uk/psychologist/tattoo-regret Tattoo Regret] (The British Psychological Society)

[https://www.advdermatology.com/blog/statistics-surrounding-tattoo-regret/ The statistics surrounding tattoo regret and how to avoid it] (Advanced Dermatology)

[https://www.psychologytoday.com/au/blog/psychology-tomorrow/202309/the-psychology-of-tattoo-regret Why Most People Don't Regret Their Tattoos] (Psychology Today)

[[Category:{{#titleparts:{{PAGENAME}}|3}}]]
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[[Category:Motivation and emotion/Book/Regret]]</text>
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__TOC__

==Overview==
{{RoundBoxTop|theme=5}}
[[File:Regret cropped.jpg|thumb|'''Image 1'''. A woman with a facial expression of regret]]

;Imagine ...

Anna, a 22-year-old university student, wakes up after a spontaneous weekend tattoo. Its her ex-partner’s name inked on her wrist. Weeks later, after a breakup, she feels a surge of regret: the tattoo no longer reflects her identity and brings daily discomfort. Should she wait and see if the feeling passes, cover it up, or opt for removal?
{{RoundBoxBottom}}

[[wikipedia:Tattoo|Tattoo]] regret refers to the dissatisfaction or remorse a person feels after getting a tattoo, often due to changes in personal identity, impulsive decision-making, poor artistic quality, or social and professional pressures. While tattoos are intended as lasting expressions of self, they can lose their significance over time, become associated with unwanted memories, or cause practical challenges in work or relationships. Research suggests that 16.2% of people with tattoos experience regret at some point, highlighting the importance of understanding both its causes and solutions (Liszewski et al., 2015). Management options range from non-invasive approaches such as allowing time for reflection or opting for a cover-up to medical interventions like laser [[wikipedia:Tattoo_removal|tattoo removal]]. This topic raises important questions: What psychological and social factors drive tattoo regret, and how can individuals make informed, lasting choices about body art?

'''Key points'''
* Tattoo regret can stem from shifting identity, impulsive decisions, poor aesthetic outcomes, or social/professional concerns.
* Regret varies in onset and intensity with some feeling it immediately, others years later.
* Several coping strategies exist such as healing time, cover-ups, removal. These all carry with varying costs, benefits, and risks.

{{RoundBoxTop|theme=5}}
'''Focus questions [[Image:Nuvola_apps_ktip.png|right|90px]]'''

* Why do people regret tattoos?
* How does regret evolve over time?
* What theoretical frameworks help explain tattoo regret?
* What practical options exist for managing regret, and what considerations apply?
{{RoundBoxBottom}}

== Key definitions and scope ==
[[File:19-Loading rotary tattoo machine needle tip with ink.jpg|thumb|'''Image 2'''. Loading rotary tattoo machine needle tip with ink. Work done by tattoo artist Jenna Haas.]]

'''Tattoo regret''' can be defined as the negative affective evaluation of a previous tattoo decision (Altunay et al., 2022). It can involve dissatisfaction with appearance, a sense of misalignment with personal identity, or a strong desire for removal. Importantly, regret exists on a continuum, ranging from mild annoyance to significant psychological distress. Dissatisfaction refers to concern with specific features such as fading ink or poor line quality. Ambivalence is marked by mixed feelings toward the tattoo, where a person may feel pride in one context but shame in another. Decisional regret is a reflective appraisal that the choice itself was wrong, often accompanied by counterfactual thinking such as “I should have done things differently.{{f}}

Empirical studies suggest that between 14 and 25% of tattooed individuals report some form of regret (Swami et al., 2022). Timing varies widely: some experience immediate regret within weeks, often due to poor healing or impulsive decision making, while others develop regret years later as identities shift, careers evolve, or cultural norms change{{f}}. Delayed regret is especially common during life transitions such as entering professional roles, becoming parents, or experiencing relationship breakdowns when tattoos commemorate a partner{{f}}.

Tattoos are now mainstream, with surveys indicating that 30–40% of adults in many [[wikipedia:Western_world|Western countries]] have at least one tattoo (Pew Research Center, 2023). Despite their popularity, tattoos remain permanent [[wikipedia:Body_modification|body modifications]]. Regret can therefore have lasting consequences for psychological wellbeing, finances, and occupational mobility. The cost of removal averages thousands of dollars and involves painful, time-intensive procedures with no guarantee of complete erasure.

== Theoretical frameworks (theory &amp; research) ==
{{ic|Include an introductory paragraph before branching into sub-sections}}

=== '''[https://pmc.ncbi.nlm.nih.gov/articles/PMC1911167/ Psychodermatology]''' ===
Emotion, identity, and self-expression are deeply intertwined with skin art. Psychodermatology views the skin not only as a physical surface but also as an interface between body and self (Altunay et al., 2021). From this perspective, dermatological complications such as scarring, pigment unevenness, or ghosting are not just cosmetic problems. They become visible reminders of imperfection that can intensify negative emotions and fuel regret. Tattoos that do not heal properly, or that respond unpredictably to removal procedures, can undermine body image. In this framework, regret is produced both by symbolic misalignment and by dissatisfaction with the physical condition of the canvas itself (Kluger, 2019).

=== '''Identity and self-concept theory''' ===
Tattoos can act as symbolic commitments to aspects of the self. Identity theory suggests that as individuals evolve across life stages, tattoos may become inconsistent with their current identity{{f}}. When tattoos no longer reflect who someone believes they are, they can prompt identity threat and distancing. Tattoo regret in this framework{{f}} functions as a signal of identity change and as an attempt to realign external self-expression with an updated internal self. Studies on temporal self-appraisal support this idea, showing that people often perceive their past selves as less authentic or disconnected from their current identity (Ross &amp; Wilson, 2003).

=== '''Decision-affect and [[wikipedia:Regret_(decision_theory)|regret theory]]''' ===
Decision-affect and regret theories explain how regret occurs when people compare actual outcomes with imagined alternatives. Tattoos, because they are relatively permanent, invite strong counterfactual thinking such as “if only I had waited” or “I could have chosen differently.” The permanence of tattoos increases the psychological weight of these counterfactuals. Regret is especially acute when individuals believe they acted impulsively but could have made a more deliberate choice, reinforcing feelings of responsibility for the outcome (Bleichrodt et al., 2009; Atik &amp; Yιldιrιm, 2014).

=== '''[[wikipedia:Cognitive_dissonance|Cognitive dissonance]] theory''' ===
Cognitive dissonance theory highlights the discomfort that arises when tattoos conflict with current social roles or values{{f}}. For instance, a tattoo obtained to symbolise rebellion may later feel incompatible with the requirements of a conservative professional environment. In order to reduce this dissonance, people may adopt different coping strategies such as reframing the meaning of the tattoo, covering it in social or professional settings, or pursuing removal{{f}}. This ongoing tension underscores how regret is shaped not only by individual decision-making but also by shifting social roles and expectations (Broussard &amp; Harton, 2017; Timming &amp; Perrett, 2016).

{{RoundBoxTop|theme=2}}Case study: Sarahs story

Sarah got a tattoo on her forearm at 19 to symbolise independence and rebellion. Several years later, she began working in a conservative law firm where visible tattoos were discouraged. The values represented by her tattoo no longer fit with the professional image expected at work, creating discomfort. To cope, Sarah reframed the tattoo’s meaning, covered it with clothing, and eventually considered laser removal. This case shows how regret can arise when tattoos become incompatible with new social roles, and how people use strategies such as reframing, concealment, or removal to reduce dissonance
{{RoundBoxBottom}}

=== '''Stigma and labelling perspectives''' ===
Tattoos often reflect youthful rebellion, but as cultural norms shift they may become misaligned with evolving identities, particularly when they were acquired impulsively (Madfis &amp; Arford, 2013). Stigma and labelling theories{{f}} emphasise that external judgments and stereotypes strongly influence internal experience. A visible tattoo can trigger labels such as “unprofessional” or “outsider,” which in turn shape self-concept and heighten regret. Motivations for tattoo removal often extend beyond aesthetics, with many individuals citing public criticism and workplace stigma as decisive factors (Sharifi &amp; Nouri, 2025). This demonstrates that tattoo regret is not purely an individual phenomenon but a product of wider cultural and institutional contexts.

Taken together, psychodermatology, identity change, regret theory, cognitive dissonance, and labelling perspectives explain why regret persists even as tattoos become mainstream. Psychodermatology accounts for distress when the physical outcome falls short. Identity and temporal self-appraisal explain why meaning drifts with life stage. Regret theory clarifies why durable and controllable choices evoke counterfactuals. Dissonance and labelling show how role demands and stigma intensify discomfort. No single theory suffices; the evidence indicates multiple, partly independent routes to regret, which implies that prevention and remediation should be tailored to pathway.

== Causes of tattoo regret ==
Identity shifts over time can make tattoos feel incongruent with personal growth (Sear, 2015). Tattoo regret arises from an interplay of psychological processes, social contexts, and decision-related factors (see Table 1)

'''Table 1.''' Causes of tattoo regret
{| class=&quot;wikitable&quot;
|+
!Category
!Key cause
!Description
!Example
|-
|Psychological factors
|Identity change &amp; cognitive dissonance
|As people grow and their self-concept evolves, tattoos may feel out of sync with current identity or roles, creating regret and discomfort.
|A tattoo that represented rebellion at 18 feels unprofessional at 30.
|-
|Social factors
|Social stigma &amp; feedback
|Negative reactions from peers, family, or employers, and broader cultural stigma can amplify regret, particularly for visible tattoos.
|Co-workers criticise a visible tattoo, leading to embarrassment.
|-
|Decision/tattoo-related factors
|Impulsivity, poor planning, or visible placement
|Rushed or impulsive decisions without planning, or tattoos in highly visible areas, often increase likelihood of long-term dissatisfaction.
|A spur-of-the-moment wrist tattoo becomes a source of regret in conservative workplaces.
|-
|Health &amp; healing factors
|Complications in healing/aftercare
|Poor healing, infections, or scarring can distort tattoos, making the final result disappointing and regret more likely.
|Improper aftercare causes scarring that alters the tattoo design.
|}

'''Psychological and developmental factors'''

Psychological factors include identity change over time, where designs meaningful at 18 may feel incompatible by 30 when new professional, relational, or cultural roles emerge. Research on temporal self-appraisal shows that people often distance themselves from past selves (Ross &amp; Wilson, 2003), making earlier tattoo choices seem alien. Adolescents may lack emotional regulation or foresight, leading to higher regret rates (Dukes, 2016) with impulsivity and sensation-seeking being further contributors, as many regretted tattoos are acquired in contexts of heightened arousal such as nights out or travel adventures, where foresight is limited. Cognitive dissonance also plays a role, as tattoos can create discomfort when they conflict with current values or roles. For example, a rebellious design may create dissonance when the same individual later seeks acceptance in conservative professional settings (Nanay, 2023). Unrealistic expectations about permanence, quality, or social acceptance often lead to disappointment, particularly when tattoos age poorly or when the emotional meaning attached to them fades.

'''Social and situational influences'''

Social and situational factors often amplify tattoo regret. Social feedback plays a central role, with praise and acceptance reinforcing satisfaction while criticism or stigma provoke shame and dissatisfaction. Tattoos acquired in moments of peer pressure, intoxication, or during transient life stages such as relationships are especially vulnerable to later regret. Cultural and occupational norms also shape this process, as acceptance of tattoos varies across societies and professions. In conservative or religious contexts, tattoos may be associated with deviance, which increases regret when individuals internalise stigma. Regret is also strongly influenced by career concerns and unwanted attention, particularly when tattoos are highly visible or linked to relationships (Dickson et al., 2014).

'''Decision-making and tattoo characteristics'''

Decision-related and tattoo characteristics play a crucial role in shaping regret{{f}}. Regret is less common when individuals carefully research artists, iterate on designs, and consider long-term relevance, while poor planning or hasty choices about design, artist, or placement significantly increase the likelihood of dissatisfaction (Resnick, 2025). Placement and visibility are especially important, as tattoos on the hands, neck, or face often produce greater long-term regret, particularly in professional settings where appearance norms are strict. Design choices also matter, with trend-sensitive motifs and partner names strongly associated with regret due to their transient meanings. Smaller tattoos obtained on a whim are more often regretted, whereas larger or more personally meaningful tattoos are less likely to trigger dissatisfaction (Advanced Dermatology, 2025). Finally, poor aftercare can result in infections, scarring, or pigment distortion, which compromise appearance and intensify regret{{f}}.

{{RoundBoxTop|theme=6}}&lt;quiz display=simple&gt;
{Tattoos placed on highly visible areas, such as the hands or neck, are less likely to be regretted because they are easily displayed.
|type=&quot;()&quot;}
- True
+ False
&lt;/quiz&gt;

&lt;quiz display=simple&gt;
{Identity change over time can make a tattoo that once felt meaningful seem out of sync with a person’s current self-concept.
|type=&quot;()&quot;}
+ True
- False
&lt;/quiz&gt;

&lt;quiz display=simple&gt;
{Poor planning and impulsive decision-making increase the likelihood of tattoo regret.
|type=&quot;()&quot;}
+ True
- False
&lt;/quiz&gt;

{{RoundBoxBottom}}

== Previous research ==
{{ic|Include an introductory paragraph before branching into sub-sections}}

=== Prevalence, timing and statistics ===
Tattoo regret is common worldwide, but prevalence rates vary across populations and cultural contexts. In a U.S. cross-sectional survey of 501 tattooed adults, 16.2% reported regretting at least one tattoo and 21.2% expressed interest in removal (Liszewski et al., 2015). Complications were frequently reported, including infection (3.2%), pain (3.8%), and pruritus{{explain}} (21.2%), and these were associated with dissatisfaction. Risk behaviours were also common: more than one in five participants had been tattooed while intoxicated and 17.6% had received tattoos outside professional parlours, both practices linked to higher regret{{f}}. These findings highlight the role of impulsive decision-making and unsafe conditions in shaping long-term outcomes.

In Turkey, regret rates were higher. A multi-centre dermatology outpatient study found that 26% of 302 patients regretted at least one tattoo, and among these, 42.5% had pursued removal or camouflage through a cover-up (Altunay et al., 2022). The most common reason for regret was simply “not liking the tattoo anymore,” demonstrating that dissatisfaction often emerges independently of medical complications. The study also reported demographic patterns, with women more likely to cite motivations such as individuality or beauty, while overall motivations included independence, self-image, and aesthetics.

Together, these studies illustrate how regret is shaped by a combination of physical complications, impulsive behaviour, and shifting identity or aesthetic preferences. They also suggest that regret is not uniform but context-dependent, reflecting the interplay of psychological, social, and cultural factors (Morlock et al., 2017).

=== International studies ===
Evidence from international research shows that tattoo regret is a widespread but context-dependent phenomenon. In the United States, the study by Liszewski et al. (2015) found that of the 16.2% that regretted at least one tattoo presented with common risk factors including tattoos obtained while intoxicated, tattoos placed outside professional parlours, and complications such as infection, pain, and pruritus. These findings highlight how impulsive decision-making and unsafe practices amplify dissatisfaction. In Turkey, Altunay et al. (2022) reported higher regret rates, with 26% of dermatology outpatients expressing dissatisfaction and 42.5% pursuing either removal or camouflage through cover-ups. Notably, the most common reason for regret was simply “not liking the tattoo anymore,” and gender differences emerged in motivations, with women more likely to describe tattoos as expressions of individuality or beauty. This suggests that regret is shaped by both cultural norms and personal identity trajectories.

Findings from Saudi Arabia provide further insight into the demographic and cultural context of tattoo regret. A recent survey by Mitwalli &amp; Alfurayh (2024) of 181 tattooed individuals, most of whom were women, showed that nearly half had obtained their first tattoo between 18 and 25 years of age, with cosmetic tattoos such as eyebrow micro-pigmentation especially common. Regret and dissatisfaction were often linked to appearance, lifestyle, and professional concerns, and complications such as pain, itching, and scarring contributed to diminished quality of life. Consistent with other international samples, many participants expressed interest in removal, with lasers recognised as the most effective but imperfect method.

[[File:Vitiligo misto.jpg|thumb|'''Image 3'''. A photograph of a man with vitiligo]]

Tattoo regret is not solely psychological but can also be medical in origin. Yadav et al. (2020) described cases in India where tattoos were sought as camouflage for dermatological conditions such as [[wikipedia:Vitiligo|vitiligo]] (see Image 3.) and [[wikipedia:Morphea|morphea]]. In these instances, tattooing reactivated disease processes and worsened lesions due to [[wikipedia:Koebner_phenomenon|Koebner’s phenomenon]], leaving patients with both medical complications and regret. These cases underscore how social pressures, misinformation, and medical vulnerability intersect with tattoo practices, broadening the understanding of regret beyond impulsivity or symbolic misalignment.

Taken together, these international studies demonstrate that tattoo regret is common across cultures but manifests differently depending on context. In Western settings, regret often reflects impulsive choices, stigma, or identity shifts. In Middle Eastern contexts, cosmetic tattoos and cultural attitudes toward appearance and professionalism are especially salient. In South Asian settings, medical complications and therapeutic tattooing add another dimension. Collectively, this research reinforces that tattoo regret is a multidimensional phenomenon shaped by identity, social meaning, health, and cultural expectations.

== Managing tattoo regret: Practical applications ==
{{RoundBoxTop|theme=5}}Tattoo Removal experts advise waiting 2–4 weeks for healing; regret may fade as the tattoo settles.

Reflection time allows assessing whether regret is transient or persistent.
{{RoundBoxBottom}}

[[File:Laser tattoo removal.ogv|thumb|'''Image 4'''. Laser tattoo removal]]

=== '''Coping strategies''' ===
Include normalising identity change (accepting that people evolve), selective concealment (e.g. clothing or sleeves), and meaning reappraisal (re-narrating the tattoo’s story). Psychological [[wikipedia:Outline_of_counseling|counselling]] or body-image therapy may benefit those for whom regret causes distress.
[[File:Laser Tattoo Removal Alice Pien MD AMAskincare.jpg|thumb|'''Image 5.''' Laser tattoo removal causes frosting. An indication of the breakdown of tattoo pigment]]

=== '''Cover-ups''' ===
Using new designs to mask or integrate old tattoos. '''Cover-ups''' are often effective but come with compromises: the new design usually must be larger, darker, or more complex, and perfect masking is not guaranteed. Satisfaction is higher when clients have realistic expectations.

=== '''Laser''' [[wikipedia:Tattoo_removal|'''removal''']] ===
'''Laser removal''' (see Image 4. and Image 5.) is the most direct approach. It generally requires multiple sessions (often 6–15 or more depending on size, ink colour, layering, and skin type). Success is incomplete in many cases; residual ghosting, scarring, hypopigmentation, or skin texture changes are common even with current laser technologies (e.g. selective photothermolysis, picosecond lasers). [[wikipedia:Kirby–Desai_Scale|The Kirby–Desai Scale]]  is a clinically used predictive scoring system to estimate the number of sessions needed based on skin type, ink density, location, scarring, etc. 

=== Surgical removal ===
'''Surgical removal''' is a less common but sometimes necessary option for tattoo regret. Techniques such as excision involve cutting out the tattooed skin and stitching the wound closed, which is generally only feasible for small designs. Larger tattoos may require staged excisions or skin grafting, both of which carry higher risks of scarring, infection, and altered skin texture (Kluger, 2019). While surgery offers immediate removal, it is considered a last resort when other methods such as laser treatment are ineffective or unsuitable, and patients must weigh the permanence of scarring against the psychological relief of eliminating the tattoo.

Psychological motivation is often central in removal decisions: many patients cite regret, shame, or social pressures more than aesthetic dislike (Sharifi &amp; Nouri, 2025). Post-removal psychological outcomes remain under-researched, but preliminary evidence suggests some people gain confidence, reduced stigma, and better social reception (especially in justice-involved populations) (Motivations for Seeking Laser Tattoo Removal, 2022).

{{RoundBoxTop|theme=6}}
&lt;quiz display=simple&gt;
{Laser removal typically guarantees complete tattoo erasure in just one or two sessions.
|type=&quot;()&quot;}
- True
+ False
&lt;/quiz&gt;

&lt;quiz display=simple&gt;
{Cover-ups are often effective but usually require larger, darker, or more complex designs, and perfect masking is not always possible.
|type=&quot;()&quot;}
+ True
- False
&lt;/quiz&gt;
{{RoundBoxBottom}}

== Broader implications and future directions ==
Tattoo regret has implications that reach beyond individual dissatisfaction. At a psychological level, it highlights the tension between permanence and human change. Tattoos fix a moment of self-expression on the body, but identity continues to evolve. This tension reflects wider challenges in life where decisions are difficult to reverse, such as cosmetic procedures, elective surgeries, or even financial commitments. Research on temporal self-appraisal shows that people often distance themselves from their past selves (Ross &amp; Wilson, 2003), which helps explain why tattoos that once felt meaningful may later feel foreign. Understanding regret in this context provides insights into how people adapt to long-term decisions that become misaligned with their present identity.

From a social perspective, tattoo regret demonstrates how stigma and cultural labelling influence personal meaning. Tattoos have historically been associated with deviance, subcultures, or rebellion (Madfis &amp; Arford, 2013). Even as tattoos become more mainstream, visible tattoos can still attract workplace stigma and criticism, shaping regret and motivating removal (Sharifi &amp; Nouri, 2025). Cross-cultural work will be valuable in clarifying whether regret decreases as social acceptance rises, or whether it persists primarily because of psychological and identity factors.

Future research should address several gaps. Longitudinal studies are needed to track how regret develops over time and what predicts it across the life course. Clinical and psychodermatological research could also examine outcomes of different coping strategies, such as re-narration or concealment compared to removal, since current evidence is limited (Altunay et al., 2021). Testing preventative interventions, such as cooling-off periods or future-self reflection exercises, would also be important in reducing regret incidence. Additionally, more research on post-removal outcomes is necessary, as early findings suggest that removal can improve confidence and social integration, particularly in justice-involved populations (Motivations for Seeking Laser Tattoo Removal, 2022)

{{tip|Case study: Sam’s story

Sam, a 19-year-old apprentice chef, decided to get his first tattoo during a weekend trip with friends. Encouraged by the group and wanting to mark the occasion, he chose a small, colourful design on his forearm depicting a cartoon character he loved as a teenager. At the time, the decision felt exciting and spontaneous.

Within months, Sam began to feel uneasy about the tattoo. As he progressed in his career, he noticed colleagues making occasional comments about it, and he worried it looked unprofessional during customer-facing shifts. The once-favourite cartoon character now seemed out of place with his maturing sense of style. Sam found himself covering the tattoo with long sleeves, even in the summer.

After researching his options, Sam initially considered laser removal but was deterred by the high cost and multiple sessions required. Instead, he consulted a skilled tattoo artist about a cover-up design. Together, they created a new piece incorporating a minimalist botanical motif that felt more timeless and personally meaningful. The process helped Sam feel ownership over his body again and turned an impulsive choice into an expression he was proud to show.

Discussion questions
* Which factors in Sam’s case contributed most to his tattoo regret?
* How might Sam have avoided this outcome before getting the tattoo?
* What psychological processes (e.g., identity change, social pressure) are illustrated here?
* How does Sam’s choice of a cover-up reflect one way of managing tattoo regret?

}}

==Conclusion==
Tattoo regret illustrates how motivation and emotion influence human behaviour through the interplay of identity, decision-making, and social context. Many people are motivated to get tattoos to express individuality, affirm belonging, or enhance self-image. Yet over time, identity shifts, evolving social expectations, and changes in the tattoo’s appearance can transform pride into dissatisfaction. Psychological theories clarify these processes. Identity and self-concept theory explain why tattoos that once felt authentic may later appear misaligned with the current self (Ross &amp; Wilson, 2003). Decision-affect and regret theory highlight how irreversible choices increase counterfactual thinking and magnify dissatisfaction (Zeelenberg &amp; Pieters, 2007). Cognitive dissonance theory shows how tattoos that conflict with present values or roles create discomfort, leading people to reframe meaning, conceal the tattoo, or pursue removal (Festinger, 1957). Psychodermatology adds that scarring, pigment irregularities, and fading can intensify regret by making imperfections visible (Altunay et al., 2021). Stigma and labeling perspectives further demonstrate how external judgments and workplace norms shape internal experiences of regret (Madfis &amp; Arford, 2013; Sharifi &amp; Nouri, 2025).

Empirical research confirms that regret is common but variable across populations. Prevalence ranges from 16 to 25 percent in U.S. samples (Liszewski et al., 2015; Morlock et al., 2017) to 26 percent among Turkish dermatology patients (Altunay et al., 2022). The most frequent triggers include impulsive decision-making, intoxication, visible placement, and dissatisfaction with artistic or physical outcomes. Regret may emerge immediately, due to poor healing or impulsivity, or years later, as identities shift and cultural or occupational expectations change.

The focus questions can now be answered. People regret tattoos when they become misaligned with identity or values, when social stigma reshapes their meaning, or when physical complications undermine satisfaction. Regret evolves over time, shaped by life transitions and social pressures. Psychological science offers multiple frameworks to explain this complexity and highlights practical coping options, from reappraisal and concealment to cover-ups and removal. The central take-home message is that while tattoos are intended as permanent expressions of identity, human lives and roles change, making thoughtful decision-making and realistic expectations essential in reducing regret.

==See also==
* [[wikipedia:Body_modification|Body modifications]] (Wikipedia)
* [[wikipedia:Cognitive_dissonance|Cognitive dissonance]] (Wikipedia)
* [[wikipedia:Outline_of_counseling|Counselling]] (Wikipedia)
* [[wikipedia:Koebner_phenomenon|Koebner phenomenon]] (Wikipedia)
* [[wikipedia:Morphea|Morphea]] (Wikipedia)
* [[wikipedia:Psychodermatology|Psychodermatology]] (Wikipedia)
* [[wikipedia:Regret_(decision_theory)|Regret theory]] (Wikipedia)
* [[wikipedia:Tattoo|Tattoo]] (Wikipedia)
* [[wikipedia:Tattoo_removal|Tattoo removal]] (Wikipedia) 
* [[wikipedia:Kirby–Desai_Scale|The Kirby–Desai Scale]] (Wikipedia)
* [[wikipedia:Vitiligo|Vitiligo]] (Wikipedia)
* [[wikipedia:Western_world|Western Countries]] (Wikipedia)

== References ==
{{Hanging indent|1=

Atik, D., &amp; Yιldιrιm, C. (2014). Motivations behind acquiring tattoos and feelings of regret: Highlights from an Eastern Mediterranean context. Journal of Consumer Behaviour, 13(3), 212–223. https://doi.org/10.1002/cb.1480

Bleichrodt, H., Cillo, A., &amp; Diecidue, E. (2010). A Quantitative Measurement of Regret Theory. Management Science, 56(1), 161–175. https://doi.org/10.1287/mnsc.1090.1097

Broussard, K. A., &amp; Harton, H. C. (2018). Tattoo or taboo? Tattoo stigma and negative attitudes toward tattooed individuals. The Journal of Social Psychology, 158(5), 521–540. https://doi.org/10.1080/00224545.2017.1373622

Dickson, L., Dukes, R., Smith, H., &amp; Strapko, N. (2014). Stigma of ink: Tattoo attitudes among college students. ''The Social Science Journal'', ''51''(2), 265–276. https://doi.org/10.1016/j.soscij.2014.02.005

Dukes, R. L. (2016). Regret among tattooed adolescents. ''The Social Science Journal'', ''53''(4), 455–458. https://doi.org/10.1016/j.soscij.2016.08.004

Kıvanç Altunay, İ., Mercan, S., &amp; Özkur, E. (2021). Tattoos in Psychodermatology. ''Psych'', ''3''(3), 269–278. https://doi.org/10.3390/psych3030021

Liszewski, W., Kream, E., Helland, S., Cavigli, A., Lavin, B. C., &amp; Murina, A. (2015). The Demographics and Rates of Tattoo Complications, Regret, and Unsafe Tattooing Practices. Dermatologic Surgery, 41(11), 1283–1289. https://doi.org/10.1097/dss.0000000000000500

Madfis, E., &amp; Arford, T. (2013). The dilemmas of embodied symbolic representation: Regret in contemporary American tattoo narratives. ''The Social Science Journal'', ''50''(4), 547–556. https://doi.org/10.1016/j.soscij.2013.07.012

Mitwalli, H., &amp; Alfurayh, N. (2024). Tattoo Regret, Complications, and Removal: A Cross‐Sectional Study among Tattooed Individuals in Saudi Arabia. Dermatology Research and Practice, 2024(1). https://doi.org/10.1155/2024/5673785

Schaeffer, K., &amp; Dinesh, S. (2023, August 15). ''32% of Americans have a tattoo, including 22% who have more than one''. Pew Research Center. https://www.pewresearch.org/short-reads/2023/08/15/32-of-americans-have-a-tattoo-including-22-who-have-more-than-one/?utm_

Timming, A. R., &amp; Perrett, D. (2016). Trust and mixed signals: A study of religion, tattoos and cognitive dissonance. Personality and Individual Differences, 97, 234–238. https://doi.org/10.1016/j.paid.2016.03.067

Yadav, P., Yadav, A., Yadav, J., &amp; Chander, R. (2020). Tattoo for camouflage: A new cause of tattoo regret. Indian Dermatology Online Journal, 11(2), 250. https://doi.org/10.4103/idoj.idoj_189_19

}}

==External links==
[https://tattoopathway.com/tattoo-regret-insights-statistics-advice/ Navigating Tattoo Regret: Insights, Statistics, and Advice] (TattooPathway)

[https://www.byrdie.com/tattoo-regret-11779253 So, You Regret Your Tattoo—Now What? We Asked the Pros] (Byrdie)

[https://www.bps.org.uk/psychologist/tattoo-regret Tattoo Regret] (The British Psychological Society)

[https://www.advdermatology.com/blog/statistics-surrounding-tattoo-regret/ The statistics surrounding tattoo regret and how to avoid it] (Advanced Dermatology)

[https://www.psychologytoday.com/au/blog/psychology-tomorrow/202309/the-psychology-of-tattoo-regret Why Most People Don't Regret Their Tattoos] (Psychology Today)

[[Category:{{#titleparts:{{PAGENAME}}|3}}]]
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      <text bytes="13418" sha1="c79guunhp8alztfq6qgtmbgwfy3wwba" xml:space="preserve">== possible link to 2024 chapter ==

Give this page on [[Motivation and emotion/Book/2024/Work motivation and self-determination theory|Work motivation and self-determination theory]] a look incase it applies to your section on workplace drive. 

[[User:U3054914|U3054914]] ([[User talk:U3054914|discuss]] • [[Special:Contributions/U3054914|contribs]]) 10:58, 13 August 2025 (UTC)

== Heading casing ==
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| {{#if:|Hi [[User:{{{1}}}|{{{1}}}]].|}} FYI, the recommended [[Wikiversity]] heading style uses [[w:Letter case#Sentence_case|sentence casing]]. For example:&lt;br&gt;
&lt;big&gt;&lt;big&gt;Self-determination theory&lt;/big&gt;&lt;/big&gt;
rather than
&lt;big&gt;&lt;big&gt;Self-Determination Theory&lt;/big&gt;&lt;/big&gt;

Here's an example chapter with correct heading casing: [[Motivation and emotion/Book/2019/Growth mindset development|Growth mindset development]]

-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:49, 24 August 2025 (UTC)
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&lt;!-- Learning feature --&gt;
&lt;!-- Interwiki links ---&gt;
# Add in-text [[m:Help:Interwiki linking|interwiki links]] for first mention of key terms to [[w:|Wikipedia]] and/or [[Motivation and emotion/Book|book chapters]] (see [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 2]])
&lt;!-- Scenarios/examples/case studies --&gt;
# Consider use of more scenarios/examples/case studies 
&lt;!-- Quiz --&gt;
# Consider including quiz question(s) about the take-home messages
&lt;!-- Tables --&gt;
# Promising use of table(s)
# Add table caption
# Cite each table at least once in the text
|7=
&lt;!-- References --&gt;
&lt;!-- Overall --&gt;
# Very good
&lt;!-- Systematic reviews --&gt;
# What are the most relevant systematic reviews/meta-analyses about this topic?
&lt;!-- APA style --&gt;
# Check and correct [https://apastyle.apa.org/instructional-aids/reference-guide.pdf APA referencing style]:
## capitalisation
## [[Help:Wikitext quick reference|italicisation]]
|8=
&lt;!-- Resources --&gt;
&lt;!-- See also --&gt;
# See also
## Excellent
&lt;!-- External links --&gt;
# External links
## Excellent
## Use [[w:Letter case#Sentence casing|sentence casing]]
|9=
&lt;!-- User page --&gt;
# Used effectively
&lt;!-- Description about self --&gt;
# Excellent description about self provided
&lt;!-- Links to profile(s) --&gt;
# Consider linking to your [https://portfolio.canberra.edu.au/ eportfolio] page and/or any other professional online profile or resume such as [https://www.linkedin.com/ LinkedIn]. This is not required, but it can be useful to interlink your professional networks.
&lt;!-- Link to book chapter --&gt;
# A link to the book chapter is provided
|10=
&lt;!-- Social contribution --&gt;
# Excellent – at least three different types of contributions with direct link(s) to evidence
}}
-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:49, 24 August 2025 (UTC)

&lt;!-- Official book chapter feedback --&gt;
{{MEBF/2025
|1=
&lt;!-- Overall comments... --&gt;
# This is an excellent chapter that successfully uses psychological theory and research to address a practical, real-world phenomenon or problem
&lt;!-- Overall - GenAI --&gt;
#* [[Motivation and emotion/Assessment/Using generative AI|genAI use]] is appropriately acknowledged
&lt;!-- Overall – Citations --&gt;
# Excellent use of academic, peer-reviewed citations to support claims
&lt;!-- Overall – Copyedits --&gt;
# For additional feedback, see the following comments and [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2025%2FCortical_structures_and_motivational_drive&amp;diff=2763251&amp;oldid=2758069 these copyedits]
|2=
&lt;!-- Overview – Comments... --&gt;
# Well developed
&lt;!-- Overview – Scenario --&gt;
&lt;!-- Overview – Scenario - Description --&gt;
# Engaging scenario or case study
&lt;!-- Overview – Scenario - Feature --&gt;
# Figure 1 is relevant to the scenario
&lt;!-- Overview – Scenario - Feature --&gt;
# Scenario uses an appropriate feature box
&lt;!-- Overview – Explains problem --&gt;
# Clearly explains the psychological problem or phenomenon
&lt;!-- Overview – Focus questions --&gt;
# The focus questions are excellent (clear and relevant)
|3=
&lt;!-- Theory comments... --&gt;
&lt;!-- Theory – Breadth --&gt;
# Excellent—key theories are very well explained and applied
&lt;!-- Theory – Builds on --&gt;
# Builds exceptionally well on [[w:|Wikipedia]] articles but not related [[Motivation and emotion/Book|chapters]] by embedding interwiki links for key terms
&lt;!-- Theory – Depth --&gt;
# Insightful depth is provided about key theory(ies)
&lt;!-- Theory – Tables/Figures/Lists --&gt;
# Excellent use of tables, figures, and/or lists to clearly convey key theoretical information
&lt;!-- Theory – Citations --&gt;
# Key citations are well used
&lt;!-- Theory – Examples --&gt;
# Excellent use of examples to illustrate theoretical concepts
|4=
&lt;!-- Research comments... --&gt;
&lt;!-- Research – Key findings --&gt;
# Very good review of relevant research
# Greater emphasis on systematic reviews and/or meta-analyses would be ideal
# More detail about key studies would be ideal
&lt;!-- Research – Critical thinking --&gt;
# Good [[w:Critical thinking|critical thinking]] about relevant research is evident
# [[w:Critical thinking|Critical thinking]] about research could be further evidenced by:
## describing the methodology (e.g., sample, measures) in important studies
## considering the strength of relationships
## acknowledging limitations
## pointing out critiques/counterarguments
## suggesting ''specific'' directions for future research
|5=
&lt;!-- Integration comments... --&gt;
# Very good integration between the most relevant theory(ies) and the best research
# The chapter places more emphasis on theory than on research; strive for an integrated balance
# Insufficient integration with related [[Motivation and emotion/Book|chapters]]
|6=
&lt;!-- Conclusion comments... --&gt;
# Very good summary and conclusion
# Remind the reader about the importance of the problem or phenomenon of interest
&lt;!-- Conclusion – Key points --&gt;
# Key points are well summarised
&lt;!-- Conclusion – Focus questions --&gt;
# The focus questions are addressed
&lt;!-- Conclusion – Take-home messages --&gt;
# Add practical, take-home message(s)
|7=
&lt;!-- Written expression – Style comments... --&gt;
&lt;!-- Written expression – Written expression --&gt;
# Written expression
## The quality of written expression is excellent
## Use active (e.g., &quot;this chapter explores&quot; or &quot;this chapter explored&quot;) rather than passive voice (e.g., &quot;this chapter will explore&quot; or &quot;this chapter has explored&quot;) [https://apastyle.apa.org/style-grammar-guidelines/grammar/active-passive-voice][https://www.grammarly.com/blog/active-vs-passive-voice/]
&lt;!-- Written expression – Layout --&gt;
# Layout
## The chapter is well structured, with major sections using sub-sections
## Avoid having sections with 1 sub-heading – use 0 or 2+ sub-headings
&lt;!-- Written expression – Grammar --&gt;
# Grammar
## The grammar for some sentences could be improved (e.g., see {{g}} tags); consider using a grammar checking tool, Studiosity, and/or peer feedback
## Check and make [https://www.grammarly.com/blog/comma/ correct use of commas]
## [https://www.grammarly.com/blog/punctuation-capitalization/possessive-apostrophe/ Possessive apostrophes] are not used correctly (e.g., cats vs cat's vs cats')
&lt;!-- Written expression – APA style --&gt;
# APA style
## Use [[w:Serial comma|serial comma]]s[https://www.buzzfeed.com/adamdavis/the-oxford-comma-is-extremely-important-and-everyone-should][https://www.youtube.com/watch?v=gBx8ooDupXY]
&lt;!-- Written expression – Figures --&gt;
## Figures
### Very well captioned
&lt;!-- Written expression – Figures - Citations --&gt;
### Each Figure is referred to at least once within the main text using APA style
&lt;!-- Written expression – Figures - Other --&gt;
### Adjust some image sizes to make them less dominant (decrease size)
&lt;!-- Written expression – Tables --&gt;
## Tables
### Very well captioned
&lt;!-- Written expression – Tables - Citations --&gt;
### Each Table is referred to at least once within the main text using APA style
&lt;!-- Written expression – Citations --&gt;
## Citations use excellent [https://apastyle.apa.org/products/publication-manual-7th-edition APA Style (7th ed.)]
&lt;!-- Written expression – References --&gt;
## References use reasonably good APA style:
### Check and correct use of italicisation
### Check and correct use of capitalisation[https://apastyle.apa.org/style-grammar-guidelines/capitalization]
|8=
&lt;!-- Learning features comments... --&gt;
# Excellent use of learning features
&lt;!-- Learning features – Wikipedia embedded links --&gt;
# Excellent use of embedded in-text [[m:Help:Interwiki linking|interwiki links]] to Wikipedia articles
&lt;!-- Learning features – Wikiversity embedded links --&gt;
# Add embedded in-text links to related [[Motivation and emotion/Book|book chapters]]. Embedding in-text links to related book chapters helps to integrate this chapter into the broader book project.
&lt;!-- Learning features – Figures, tables, feature boxes, scenarios --&gt;
# Excellent use of figure(s)
# Very good use of table(s)
# Reasonably good use of feature box(es)
# Good use of scenarios, case studies, or examples
&lt;!-- Learning features – Quizzes --&gt;
# Basic use of quiz(zes) and/or reflection question(s)
# The quiz questions could be improved by being more focused on the key points and/or take-home messages
# The quiz questions could be more effective as learning prompts by being embedded as single questions within each corresponding section rather than as a set of questions at the end
&lt;!-- Learning features – See also --&gt;
# Excellent use of the [[{{PAGENAME}}#See also|See also]] section
&lt;!-- Learning features – External links --&gt;
# Excellent use of the [[{{PAGENAME}}#External links|External links]] section
|9=
&lt;!-- Social contribution comments... --&gt;
# ~12 logged, useful, mostly moderate contributions with [[Motivation and emotion/Assessment/Chapter/Summarising social contributions#How to add direct links to contributions|direct links to evidence]]
}}
-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 03:05, 26 October 2025 (UTC)

==AI slop==
{{ping|Jtneill}} I removed the AI image because it’s AI, AI is bad for a laundry list of reasons, and the topic can easily be illustrated by something else. --[[User:Dronebogus|Dronebogus]] ([[User talk:Dronebogus|discuss]] • [[Special:Contributions/Dronebogus|contribs]]) 00:43, 10 April 2026 (UTC)</text>
      <sha1>c79guunhp8alztfq6qgtmbgwfy3wwba</sha1>
    </revision>
    <revision>
      <id>2804012</id>
      <parentid>2804010</parentid>
      <timestamp>2026-04-10T00:54:13Z</timestamp>
      <contributor>
        <username>Jtneill</username>
        <id>10242</id>
      </contributor>
      <comment>/* AI slop */ Reply</comment>
      <origin>2804012</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="13666" sha1="1caliotpul1zdc60o01o8gijswzdyqh" xml:space="preserve">== possible link to 2024 chapter ==

Give this page on [[Motivation and emotion/Book/2024/Work motivation and self-determination theory|Work motivation and self-determination theory]] a look incase it applies to your section on workplace drive. 

[[User:U3054914|U3054914]] ([[User talk:U3054914|discuss]] • [[Special:Contributions/U3054914|contribs]]) 10:58, 13 August 2025 (UTC)

== Heading casing ==
{| style=&quot;float: center; background:transparent;color:inherit;&quot;
|-
| [[File:Crystal Clear app ktip.svg|48px|left]]
| {{#if:|Hi [[User:{{{1}}}|{{{1}}}]].|}} FYI, the recommended [[Wikiversity]] heading style uses [[w:Letter case#Sentence_case|sentence casing]]. For example:&lt;br&gt;
&lt;big&gt;&lt;big&gt;Self-determination theory&lt;/big&gt;&lt;/big&gt;
rather than
&lt;big&gt;&lt;big&gt;Self-Determination Theory&lt;/big&gt;&lt;/big&gt;

Here's an example chapter with correct heading casing: [[Motivation and emotion/Book/2019/Growth mindset development|Growth mindset development]]

-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:49, 24 August 2025 (UTC)
|}
&lt;!-- Official topic development feedback --&gt;
{{METF/2025
|1=
&lt;!-- Title --&gt;
# Title and sub-title correctly worded and use [[w:Letter case#Sentence casing|sentence casing]]
# Title and/or sub-title not correctly worded and/or didn't use [[w:Letter case#Sentence casing|sentence casing]] (fixed)
# User name removed from the page; for authorship see [[Special:History/{{PAGENAME}}|the page's edit history]]
|2=
&lt;!-- Headings --&gt;
# See earlier comment about [[#heading casing|heading casing]]
&lt;!-- Heading structure --&gt;
# Promising 2-level heading structure – could benefit from further development and/or refinement
&lt;!-- Alignment with focus questions --&gt;
# Reasonably good alignment between focus questions and heading structure, but aim for closer alignment
&lt;!-- Other ---&gt;
# Remove [[wikit:acronym#Noun|acronym]]s from headings
&lt;!-- GenAI ---&gt;
# Are the headings based on [[Motivation and emotion/Assessment/Using generative AI|genAI content]]? If so, this needs to be acknowledged in the edit summaries, otherwise it violates academic integrity.
|3=
&lt;!-- Overview--&gt;
# Excellent – Scenario, image, evocative description of the problem/topic, and focus questions
&lt;!-- GenAI ---&gt;
# Does this section include [[Motivation and emotion/Assessment/Using generative AI|genAI content]]? If so, it needs to be acknowledged as such in the edit summaries, otherwise it violates academic integrity.
&lt;!-- Scenario --&gt;
# A scenario or case study is presented in a feature box with an image at the start of this section
&lt;!-- Description --&gt;
# A clear description of the problem/topic is planned or presented
&lt;!-- Focus questions --&gt;
# Reasonably good alignment between focus questions and heading structure, but consider closer alignment
|4=
&lt;!-- Key points--&gt;
&lt;!-- Overall --&gt;
# Promising development of key points
&lt;!-- Writing style --&gt;
# The writing style is clear and easy to follow
&lt;!-- Theory and research --&gt;
# Promising balance of theory and research
&lt;!-- Citations --&gt;
# Very good use of citations
&lt;!-- Other --&gt;
# For sections with sub-sections, provide key points for an overview paragraph prior to branching into the sub-headings
&lt;!-- GenAI ---&gt;
# Do these key points include [[Motivation and emotion/Assessment/Using generative AI|genAI content]]? If so, this needs to be acknowledged in the edit summaries, otherwise it violates academic integrity.
&lt;!-- Conclusion --&gt;
# Conclusion (the most important section) hasn't been developed
# What might the take-home, practical messages be? (What are the answer(s) to the question(s) in the sub-title and/or focus questions?)
|5=
&lt;!-- Figure --&gt;
# Excellent - Relevant figure(s) presented, captioned, and cited
&lt;!-- Caption --&gt;
# Figure caption(s) provide(s) a clear, appropriately detailed description that is meaningfully connected with the main text
&lt;!-- Cite --&gt;
# Figure(s) are cited at least once in the main text
|6=
&lt;!-- Learning feature --&gt;
&lt;!-- Interwiki links ---&gt;
# Add in-text [[m:Help:Interwiki linking|interwiki links]] for first mention of key terms to [[w:|Wikipedia]] and/or [[Motivation and emotion/Book|book chapters]] (see [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 2]])
&lt;!-- Scenarios/examples/case studies --&gt;
# Consider use of more scenarios/examples/case studies 
&lt;!-- Quiz --&gt;
# Consider including quiz question(s) about the take-home messages
&lt;!-- Tables --&gt;
# Promising use of table(s)
# Add table caption
# Cite each table at least once in the text
|7=
&lt;!-- References --&gt;
&lt;!-- Overall --&gt;
# Very good
&lt;!-- Systematic reviews --&gt;
# What are the most relevant systematic reviews/meta-analyses about this topic?
&lt;!-- APA style --&gt;
# Check and correct [https://apastyle.apa.org/instructional-aids/reference-guide.pdf APA referencing style]:
## capitalisation
## [[Help:Wikitext quick reference|italicisation]]
|8=
&lt;!-- Resources --&gt;
&lt;!-- See also --&gt;
# See also
## Excellent
&lt;!-- External links --&gt;
# External links
## Excellent
## Use [[w:Letter case#Sentence casing|sentence casing]]
|9=
&lt;!-- User page --&gt;
# Used effectively
&lt;!-- Description about self --&gt;
# Excellent description about self provided
&lt;!-- Links to profile(s) --&gt;
# Consider linking to your [https://portfolio.canberra.edu.au/ eportfolio] page and/or any other professional online profile or resume such as [https://www.linkedin.com/ LinkedIn]. This is not required, but it can be useful to interlink your professional networks.
&lt;!-- Link to book chapter --&gt;
# A link to the book chapter is provided
|10=
&lt;!-- Social contribution --&gt;
# Excellent – at least three different types of contributions with direct link(s) to evidence
}}
-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:49, 24 August 2025 (UTC)

&lt;!-- Official book chapter feedback --&gt;
{{MEBF/2025
|1=
&lt;!-- Overall comments... --&gt;
# This is an excellent chapter that successfully uses psychological theory and research to address a practical, real-world phenomenon or problem
&lt;!-- Overall - GenAI --&gt;
#* [[Motivation and emotion/Assessment/Using generative AI|genAI use]] is appropriately acknowledged
&lt;!-- Overall – Citations --&gt;
# Excellent use of academic, peer-reviewed citations to support claims
&lt;!-- Overall – Copyedits --&gt;
# For additional feedback, see the following comments and [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2025%2FCortical_structures_and_motivational_drive&amp;diff=2763251&amp;oldid=2758069 these copyedits]
|2=
&lt;!-- Overview – Comments... --&gt;
# Well developed
&lt;!-- Overview – Scenario --&gt;
&lt;!-- Overview – Scenario - Description --&gt;
# Engaging scenario or case study
&lt;!-- Overview – Scenario - Feature --&gt;
# Figure 1 is relevant to the scenario
&lt;!-- Overview – Scenario - Feature --&gt;
# Scenario uses an appropriate feature box
&lt;!-- Overview – Explains problem --&gt;
# Clearly explains the psychological problem or phenomenon
&lt;!-- Overview – Focus questions --&gt;
# The focus questions are excellent (clear and relevant)
|3=
&lt;!-- Theory comments... --&gt;
&lt;!-- Theory – Breadth --&gt;
# Excellent—key theories are very well explained and applied
&lt;!-- Theory – Builds on --&gt;
# Builds exceptionally well on [[w:|Wikipedia]] articles but not related [[Motivation and emotion/Book|chapters]] by embedding interwiki links for key terms
&lt;!-- Theory – Depth --&gt;
# Insightful depth is provided about key theory(ies)
&lt;!-- Theory – Tables/Figures/Lists --&gt;
# Excellent use of tables, figures, and/or lists to clearly convey key theoretical information
&lt;!-- Theory – Citations --&gt;
# Key citations are well used
&lt;!-- Theory – Examples --&gt;
# Excellent use of examples to illustrate theoretical concepts
|4=
&lt;!-- Research comments... --&gt;
&lt;!-- Research – Key findings --&gt;
# Very good review of relevant research
# Greater emphasis on systematic reviews and/or meta-analyses would be ideal
# More detail about key studies would be ideal
&lt;!-- Research – Critical thinking --&gt;
# Good [[w:Critical thinking|critical thinking]] about relevant research is evident
# [[w:Critical thinking|Critical thinking]] about research could be further evidenced by:
## describing the methodology (e.g., sample, measures) in important studies
## considering the strength of relationships
## acknowledging limitations
## pointing out critiques/counterarguments
## suggesting ''specific'' directions for future research
|5=
&lt;!-- Integration comments... --&gt;
# Very good integration between the most relevant theory(ies) and the best research
# The chapter places more emphasis on theory than on research; strive for an integrated balance
# Insufficient integration with related [[Motivation and emotion/Book|chapters]]
|6=
&lt;!-- Conclusion comments... --&gt;
# Very good summary and conclusion
# Remind the reader about the importance of the problem or phenomenon of interest
&lt;!-- Conclusion – Key points --&gt;
# Key points are well summarised
&lt;!-- Conclusion – Focus questions --&gt;
# The focus questions are addressed
&lt;!-- Conclusion – Take-home messages --&gt;
# Add practical, take-home message(s)
|7=
&lt;!-- Written expression – Style comments... --&gt;
&lt;!-- Written expression – Written expression --&gt;
# Written expression
## The quality of written expression is excellent
## Use active (e.g., &quot;this chapter explores&quot; or &quot;this chapter explored&quot;) rather than passive voice (e.g., &quot;this chapter will explore&quot; or &quot;this chapter has explored&quot;) [https://apastyle.apa.org/style-grammar-guidelines/grammar/active-passive-voice][https://www.grammarly.com/blog/active-vs-passive-voice/]
&lt;!-- Written expression – Layout --&gt;
# Layout
## The chapter is well structured, with major sections using sub-sections
## Avoid having sections with 1 sub-heading – use 0 or 2+ sub-headings
&lt;!-- Written expression – Grammar --&gt;
# Grammar
## The grammar for some sentences could be improved (e.g., see {{g}} tags); consider using a grammar checking tool, Studiosity, and/or peer feedback
## Check and make [https://www.grammarly.com/blog/comma/ correct use of commas]
## [https://www.grammarly.com/blog/punctuation-capitalization/possessive-apostrophe/ Possessive apostrophes] are not used correctly (e.g., cats vs cat's vs cats')
&lt;!-- Written expression – APA style --&gt;
# APA style
## Use [[w:Serial comma|serial comma]]s[https://www.buzzfeed.com/adamdavis/the-oxford-comma-is-extremely-important-and-everyone-should][https://www.youtube.com/watch?v=gBx8ooDupXY]
&lt;!-- Written expression – Figures --&gt;
## Figures
### Very well captioned
&lt;!-- Written expression – Figures - Citations --&gt;
### Each Figure is referred to at least once within the main text using APA style
&lt;!-- Written expression – Figures - Other --&gt;
### Adjust some image sizes to make them less dominant (decrease size)
&lt;!-- Written expression – Tables --&gt;
## Tables
### Very well captioned
&lt;!-- Written expression – Tables - Citations --&gt;
### Each Table is referred to at least once within the main text using APA style
&lt;!-- Written expression – Citations --&gt;
## Citations use excellent [https://apastyle.apa.org/products/publication-manual-7th-edition APA Style (7th ed.)]
&lt;!-- Written expression – References --&gt;
## References use reasonably good APA style:
### Check and correct use of italicisation
### Check and correct use of capitalisation[https://apastyle.apa.org/style-grammar-guidelines/capitalization]
|8=
&lt;!-- Learning features comments... --&gt;
# Excellent use of learning features
&lt;!-- Learning features – Wikipedia embedded links --&gt;
# Excellent use of embedded in-text [[m:Help:Interwiki linking|interwiki links]] to Wikipedia articles
&lt;!-- Learning features – Wikiversity embedded links --&gt;
# Add embedded in-text links to related [[Motivation and emotion/Book|book chapters]]. Embedding in-text links to related book chapters helps to integrate this chapter into the broader book project.
&lt;!-- Learning features – Figures, tables, feature boxes, scenarios --&gt;
# Excellent use of figure(s)
# Very good use of table(s)
# Reasonably good use of feature box(es)
# Good use of scenarios, case studies, or examples
&lt;!-- Learning features – Quizzes --&gt;
# Basic use of quiz(zes) and/or reflection question(s)
# The quiz questions could be improved by being more focused on the key points and/or take-home messages
# The quiz questions could be more effective as learning prompts by being embedded as single questions within each corresponding section rather than as a set of questions at the end
&lt;!-- Learning features – See also --&gt;
# Excellent use of the [[{{PAGENAME}}#See also|See also]] section
&lt;!-- Learning features – External links --&gt;
# Excellent use of the [[{{PAGENAME}}#External links|External links]] section
|9=
&lt;!-- Social contribution comments... --&gt;
# ~12 logged, useful, mostly moderate contributions with [[Motivation and emotion/Assessment/Chapter/Summarising social contributions#How to add direct links to contributions|direct links to evidence]]
}}
-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 03:05, 26 October 2025 (UTC)

==AI slop==
{{ping|Jtneill}} I removed the AI image because it’s AI, AI is bad for a laundry list of reasons, and the topic can easily be illustrated by something else. --[[User:Dronebogus|Dronebogus]] ([[User talk:Dronebogus|discuss]] • [[Special:Contributions/Dronebogus|contribs]]) 00:43, 10 April 2026 (UTC)

:Feel free to improve illustrations, but please don't remove images based on your opinion without discussion. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:54, 10 April 2026 (UTC)</text>
      <sha1>1caliotpul1zdc60o01o8gijswzdyqh</sha1>
    </revision>
    <revision>
      <id>2804019</id>
      <parentid>2804012</parentid>
      <timestamp>2026-04-10T01:10:14Z</timestamp>
      <contributor>
        <username>Dronebogus</username>
        <id>3054149</id>
      </contributor>
      <comment>/* AI slop */ Reply</comment>
      <origin>2804019</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="13925" sha1="1681584vevn73wtfun2camiis0smzz6" xml:space="preserve">== possible link to 2024 chapter ==

Give this page on [[Motivation and emotion/Book/2024/Work motivation and self-determination theory|Work motivation and self-determination theory]] a look incase it applies to your section on workplace drive. 

[[User:U3054914|U3054914]] ([[User talk:U3054914|discuss]] • [[Special:Contributions/U3054914|contribs]]) 10:58, 13 August 2025 (UTC)

== Heading casing ==
{| style=&quot;float: center; background:transparent;color:inherit;&quot;
|-
| [[File:Crystal Clear app ktip.svg|48px|left]]
| {{#if:|Hi [[User:{{{1}}}|{{{1}}}]].|}} FYI, the recommended [[Wikiversity]] heading style uses [[w:Letter case#Sentence_case|sentence casing]]. For example:&lt;br&gt;
&lt;big&gt;&lt;big&gt;Self-determination theory&lt;/big&gt;&lt;/big&gt;
rather than
&lt;big&gt;&lt;big&gt;Self-Determination Theory&lt;/big&gt;&lt;/big&gt;

Here's an example chapter with correct heading casing: [[Motivation and emotion/Book/2019/Growth mindset development|Growth mindset development]]

-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:49, 24 August 2025 (UTC)
|}
&lt;!-- Official topic development feedback --&gt;
{{METF/2025
|1=
&lt;!-- Title --&gt;
# Title and sub-title correctly worded and use [[w:Letter case#Sentence casing|sentence casing]]
# Title and/or sub-title not correctly worded and/or didn't use [[w:Letter case#Sentence casing|sentence casing]] (fixed)
# User name removed from the page; for authorship see [[Special:History/{{PAGENAME}}|the page's edit history]]
|2=
&lt;!-- Headings --&gt;
# See earlier comment about [[#heading casing|heading casing]]
&lt;!-- Heading structure --&gt;
# Promising 2-level heading structure – could benefit from further development and/or refinement
&lt;!-- Alignment with focus questions --&gt;
# Reasonably good alignment between focus questions and heading structure, but aim for closer alignment
&lt;!-- Other ---&gt;
# Remove [[wikit:acronym#Noun|acronym]]s from headings
&lt;!-- GenAI ---&gt;
# Are the headings based on [[Motivation and emotion/Assessment/Using generative AI|genAI content]]? If so, this needs to be acknowledged in the edit summaries, otherwise it violates academic integrity.
|3=
&lt;!-- Overview--&gt;
# Excellent – Scenario, image, evocative description of the problem/topic, and focus questions
&lt;!-- GenAI ---&gt;
# Does this section include [[Motivation and emotion/Assessment/Using generative AI|genAI content]]? If so, it needs to be acknowledged as such in the edit summaries, otherwise it violates academic integrity.
&lt;!-- Scenario --&gt;
# A scenario or case study is presented in a feature box with an image at the start of this section
&lt;!-- Description --&gt;
# A clear description of the problem/topic is planned or presented
&lt;!-- Focus questions --&gt;
# Reasonably good alignment between focus questions and heading structure, but consider closer alignment
|4=
&lt;!-- Key points--&gt;
&lt;!-- Overall --&gt;
# Promising development of key points
&lt;!-- Writing style --&gt;
# The writing style is clear and easy to follow
&lt;!-- Theory and research --&gt;
# Promising balance of theory and research
&lt;!-- Citations --&gt;
# Very good use of citations
&lt;!-- Other --&gt;
# For sections with sub-sections, provide key points for an overview paragraph prior to branching into the sub-headings
&lt;!-- GenAI ---&gt;
# Do these key points include [[Motivation and emotion/Assessment/Using generative AI|genAI content]]? If so, this needs to be acknowledged in the edit summaries, otherwise it violates academic integrity.
&lt;!-- Conclusion --&gt;
# Conclusion (the most important section) hasn't been developed
# What might the take-home, practical messages be? (What are the answer(s) to the question(s) in the sub-title and/or focus questions?)
|5=
&lt;!-- Figure --&gt;
# Excellent - Relevant figure(s) presented, captioned, and cited
&lt;!-- Caption --&gt;
# Figure caption(s) provide(s) a clear, appropriately detailed description that is meaningfully connected with the main text
&lt;!-- Cite --&gt;
# Figure(s) are cited at least once in the main text
|6=
&lt;!-- Learning feature --&gt;
&lt;!-- Interwiki links ---&gt;
# Add in-text [[m:Help:Interwiki linking|interwiki links]] for first mention of key terms to [[w:|Wikipedia]] and/or [[Motivation and emotion/Book|book chapters]] (see [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 2]])
&lt;!-- Scenarios/examples/case studies --&gt;
# Consider use of more scenarios/examples/case studies 
&lt;!-- Quiz --&gt;
# Consider including quiz question(s) about the take-home messages
&lt;!-- Tables --&gt;
# Promising use of table(s)
# Add table caption
# Cite each table at least once in the text
|7=
&lt;!-- References --&gt;
&lt;!-- Overall --&gt;
# Very good
&lt;!-- Systematic reviews --&gt;
# What are the most relevant systematic reviews/meta-analyses about this topic?
&lt;!-- APA style --&gt;
# Check and correct [https://apastyle.apa.org/instructional-aids/reference-guide.pdf APA referencing style]:
## capitalisation
## [[Help:Wikitext quick reference|italicisation]]
|8=
&lt;!-- Resources --&gt;
&lt;!-- See also --&gt;
# See also
## Excellent
&lt;!-- External links --&gt;
# External links
## Excellent
## Use [[w:Letter case#Sentence casing|sentence casing]]
|9=
&lt;!-- User page --&gt;
# Used effectively
&lt;!-- Description about self --&gt;
# Excellent description about self provided
&lt;!-- Links to profile(s) --&gt;
# Consider linking to your [https://portfolio.canberra.edu.au/ eportfolio] page and/or any other professional online profile or resume such as [https://www.linkedin.com/ LinkedIn]. This is not required, but it can be useful to interlink your professional networks.
&lt;!-- Link to book chapter --&gt;
# A link to the book chapter is provided
|10=
&lt;!-- Social contribution --&gt;
# Excellent – at least three different types of contributions with direct link(s) to evidence
}}
-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:49, 24 August 2025 (UTC)

&lt;!-- Official book chapter feedback --&gt;
{{MEBF/2025
|1=
&lt;!-- Overall comments... --&gt;
# This is an excellent chapter that successfully uses psychological theory and research to address a practical, real-world phenomenon or problem
&lt;!-- Overall - GenAI --&gt;
#* [[Motivation and emotion/Assessment/Using generative AI|genAI use]] is appropriately acknowledged
&lt;!-- Overall – Citations --&gt;
# Excellent use of academic, peer-reviewed citations to support claims
&lt;!-- Overall – Copyedits --&gt;
# For additional feedback, see the following comments and [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2025%2FCortical_structures_and_motivational_drive&amp;diff=2763251&amp;oldid=2758069 these copyedits]
|2=
&lt;!-- Overview – Comments... --&gt;
# Well developed
&lt;!-- Overview – Scenario --&gt;
&lt;!-- Overview – Scenario - Description --&gt;
# Engaging scenario or case study
&lt;!-- Overview – Scenario - Feature --&gt;
# Figure 1 is relevant to the scenario
&lt;!-- Overview – Scenario - Feature --&gt;
# Scenario uses an appropriate feature box
&lt;!-- Overview – Explains problem --&gt;
# Clearly explains the psychological problem or phenomenon
&lt;!-- Overview – Focus questions --&gt;
# The focus questions are excellent (clear and relevant)
|3=
&lt;!-- Theory comments... --&gt;
&lt;!-- Theory – Breadth --&gt;
# Excellent—key theories are very well explained and applied
&lt;!-- Theory – Builds on --&gt;
# Builds exceptionally well on [[w:|Wikipedia]] articles but not related [[Motivation and emotion/Book|chapters]] by embedding interwiki links for key terms
&lt;!-- Theory – Depth --&gt;
# Insightful depth is provided about key theory(ies)
&lt;!-- Theory – Tables/Figures/Lists --&gt;
# Excellent use of tables, figures, and/or lists to clearly convey key theoretical information
&lt;!-- Theory – Citations --&gt;
# Key citations are well used
&lt;!-- Theory – Examples --&gt;
# Excellent use of examples to illustrate theoretical concepts
|4=
&lt;!-- Research comments... --&gt;
&lt;!-- Research – Key findings --&gt;
# Very good review of relevant research
# Greater emphasis on systematic reviews and/or meta-analyses would be ideal
# More detail about key studies would be ideal
&lt;!-- Research – Critical thinking --&gt;
# Good [[w:Critical thinking|critical thinking]] about relevant research is evident
# [[w:Critical thinking|Critical thinking]] about research could be further evidenced by:
## describing the methodology (e.g., sample, measures) in important studies
## considering the strength of relationships
## acknowledging limitations
## pointing out critiques/counterarguments
## suggesting ''specific'' directions for future research
|5=
&lt;!-- Integration comments... --&gt;
# Very good integration between the most relevant theory(ies) and the best research
# The chapter places more emphasis on theory than on research; strive for an integrated balance
# Insufficient integration with related [[Motivation and emotion/Book|chapters]]
|6=
&lt;!-- Conclusion comments... --&gt;
# Very good summary and conclusion
# Remind the reader about the importance of the problem or phenomenon of interest
&lt;!-- Conclusion – Key points --&gt;
# Key points are well summarised
&lt;!-- Conclusion – Focus questions --&gt;
# The focus questions are addressed
&lt;!-- Conclusion – Take-home messages --&gt;
# Add practical, take-home message(s)
|7=
&lt;!-- Written expression – Style comments... --&gt;
&lt;!-- Written expression – Written expression --&gt;
# Written expression
## The quality of written expression is excellent
## Use active (e.g., &quot;this chapter explores&quot; or &quot;this chapter explored&quot;) rather than passive voice (e.g., &quot;this chapter will explore&quot; or &quot;this chapter has explored&quot;) [https://apastyle.apa.org/style-grammar-guidelines/grammar/active-passive-voice][https://www.grammarly.com/blog/active-vs-passive-voice/]
&lt;!-- Written expression – Layout --&gt;
# Layout
## The chapter is well structured, with major sections using sub-sections
## Avoid having sections with 1 sub-heading – use 0 or 2+ sub-headings
&lt;!-- Written expression – Grammar --&gt;
# Grammar
## The grammar for some sentences could be improved (e.g., see {{g}} tags); consider using a grammar checking tool, Studiosity, and/or peer feedback
## Check and make [https://www.grammarly.com/blog/comma/ correct use of commas]
## [https://www.grammarly.com/blog/punctuation-capitalization/possessive-apostrophe/ Possessive apostrophes] are not used correctly (e.g., cats vs cat's vs cats')
&lt;!-- Written expression – APA style --&gt;
# APA style
## Use [[w:Serial comma|serial comma]]s[https://www.buzzfeed.com/adamdavis/the-oxford-comma-is-extremely-important-and-everyone-should][https://www.youtube.com/watch?v=gBx8ooDupXY]
&lt;!-- Written expression – Figures --&gt;
## Figures
### Very well captioned
&lt;!-- Written expression – Figures - Citations --&gt;
### Each Figure is referred to at least once within the main text using APA style
&lt;!-- Written expression – Figures - Other --&gt;
### Adjust some image sizes to make them less dominant (decrease size)
&lt;!-- Written expression – Tables --&gt;
## Tables
### Very well captioned
&lt;!-- Written expression – Tables - Citations --&gt;
### Each Table is referred to at least once within the main text using APA style
&lt;!-- Written expression – Citations --&gt;
## Citations use excellent [https://apastyle.apa.org/products/publication-manual-7th-edition APA Style (7th ed.)]
&lt;!-- Written expression – References --&gt;
## References use reasonably good APA style:
### Check and correct use of italicisation
### Check and correct use of capitalisation[https://apastyle.apa.org/style-grammar-guidelines/capitalization]
|8=
&lt;!-- Learning features comments... --&gt;
# Excellent use of learning features
&lt;!-- Learning features – Wikipedia embedded links --&gt;
# Excellent use of embedded in-text [[m:Help:Interwiki linking|interwiki links]] to Wikipedia articles
&lt;!-- Learning features – Wikiversity embedded links --&gt;
# Add embedded in-text links to related [[Motivation and emotion/Book|book chapters]]. Embedding in-text links to related book chapters helps to integrate this chapter into the broader book project.
&lt;!-- Learning features – Figures, tables, feature boxes, scenarios --&gt;
# Excellent use of figure(s)
# Very good use of table(s)
# Reasonably good use of feature box(es)
# Good use of scenarios, case studies, or examples
&lt;!-- Learning features – Quizzes --&gt;
# Basic use of quiz(zes) and/or reflection question(s)
# The quiz questions could be improved by being more focused on the key points and/or take-home messages
# The quiz questions could be more effective as learning prompts by being embedded as single questions within each corresponding section rather than as a set of questions at the end
&lt;!-- Learning features – See also --&gt;
# Excellent use of the [[{{PAGENAME}}#See also|See also]] section
&lt;!-- Learning features – External links --&gt;
# Excellent use of the [[{{PAGENAME}}#External links|External links]] section
|9=
&lt;!-- Social contribution comments... --&gt;
# ~12 logged, useful, mostly moderate contributions with [[Motivation and emotion/Assessment/Chapter/Summarising social contributions#How to add direct links to contributions|direct links to evidence]]
}}
-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 03:05, 26 October 2025 (UTC)

==AI slop==
{{ping|Jtneill}} I removed the AI image because it’s AI, AI is bad for a laundry list of reasons, and the topic can easily be illustrated by something else. --[[User:Dronebogus|Dronebogus]] ([[User talk:Dronebogus|discuss]] • [[Special:Contributions/Dronebogus|contribs]]) 00:43, 10 April 2026 (UTC)

:Feel free to improve illustrations, but please don't remove images based on your opinion without discussion. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:54, 10 April 2026 (UTC)
::Any image in [[Commons:Category:Victims of addiction]] would be superior. Pick whichever one you think works best [[User:Dronebogus|Dronebogus]] ([[User talk:Dronebogus|discuss]] • [[Special:Contributions/Dronebogus|contribs]]) 01:10, 10 April 2026 (UTC)</text>
      <sha1>1681584vevn73wtfun2camiis0smzz6</sha1>
    </revision>
    <revision>
      <id>2804021</id>
      <parentid>2804019</parentid>
      <timestamp>2026-04-10T01:16:37Z</timestamp>
      <contributor>
        <username>Jtneill</username>
        <id>10242</id>
      </contributor>
      <comment>/* AI slop */ Reply</comment>
      <origin>2804021</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="14143" sha1="32vlzrjzlagomk2b546xw3wvt2id2ys" xml:space="preserve">== possible link to 2024 chapter ==

Give this page on [[Motivation and emotion/Book/2024/Work motivation and self-determination theory|Work motivation and self-determination theory]] a look incase it applies to your section on workplace drive. 

[[User:U3054914|U3054914]] ([[User talk:U3054914|discuss]] • [[Special:Contributions/U3054914|contribs]]) 10:58, 13 August 2025 (UTC)

== Heading casing ==
{| style=&quot;float: center; background:transparent;color:inherit;&quot;
|-
| [[File:Crystal Clear app ktip.svg|48px|left]]
| {{#if:|Hi [[User:{{{1}}}|{{{1}}}]].|}} FYI, the recommended [[Wikiversity]] heading style uses [[w:Letter case#Sentence_case|sentence casing]]. For example:&lt;br&gt;
&lt;big&gt;&lt;big&gt;Self-determination theory&lt;/big&gt;&lt;/big&gt;
rather than
&lt;big&gt;&lt;big&gt;Self-Determination Theory&lt;/big&gt;&lt;/big&gt;

Here's an example chapter with correct heading casing: [[Motivation and emotion/Book/2019/Growth mindset development|Growth mindset development]]

-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:49, 24 August 2025 (UTC)
|}
&lt;!-- Official topic development feedback --&gt;
{{METF/2025
|1=
&lt;!-- Title --&gt;
# Title and sub-title correctly worded and use [[w:Letter case#Sentence casing|sentence casing]]
# Title and/or sub-title not correctly worded and/or didn't use [[w:Letter case#Sentence casing|sentence casing]] (fixed)
# User name removed from the page; for authorship see [[Special:History/{{PAGENAME}}|the page's edit history]]
|2=
&lt;!-- Headings --&gt;
# See earlier comment about [[#heading casing|heading casing]]
&lt;!-- Heading structure --&gt;
# Promising 2-level heading structure – could benefit from further development and/or refinement
&lt;!-- Alignment with focus questions --&gt;
# Reasonably good alignment between focus questions and heading structure, but aim for closer alignment
&lt;!-- Other ---&gt;
# Remove [[wikit:acronym#Noun|acronym]]s from headings
&lt;!-- GenAI ---&gt;
# Are the headings based on [[Motivation and emotion/Assessment/Using generative AI|genAI content]]? If so, this needs to be acknowledged in the edit summaries, otherwise it violates academic integrity.
|3=
&lt;!-- Overview--&gt;
# Excellent – Scenario, image, evocative description of the problem/topic, and focus questions
&lt;!-- GenAI ---&gt;
# Does this section include [[Motivation and emotion/Assessment/Using generative AI|genAI content]]? If so, it needs to be acknowledged as such in the edit summaries, otherwise it violates academic integrity.
&lt;!-- Scenario --&gt;
# A scenario or case study is presented in a feature box with an image at the start of this section
&lt;!-- Description --&gt;
# A clear description of the problem/topic is planned or presented
&lt;!-- Focus questions --&gt;
# Reasonably good alignment between focus questions and heading structure, but consider closer alignment
|4=
&lt;!-- Key points--&gt;
&lt;!-- Overall --&gt;
# Promising development of key points
&lt;!-- Writing style --&gt;
# The writing style is clear and easy to follow
&lt;!-- Theory and research --&gt;
# Promising balance of theory and research
&lt;!-- Citations --&gt;
# Very good use of citations
&lt;!-- Other --&gt;
# For sections with sub-sections, provide key points for an overview paragraph prior to branching into the sub-headings
&lt;!-- GenAI ---&gt;
# Do these key points include [[Motivation and emotion/Assessment/Using generative AI|genAI content]]? If so, this needs to be acknowledged in the edit summaries, otherwise it violates academic integrity.
&lt;!-- Conclusion --&gt;
# Conclusion (the most important section) hasn't been developed
# What might the take-home, practical messages be? (What are the answer(s) to the question(s) in the sub-title and/or focus questions?)
|5=
&lt;!-- Figure --&gt;
# Excellent - Relevant figure(s) presented, captioned, and cited
&lt;!-- Caption --&gt;
# Figure caption(s) provide(s) a clear, appropriately detailed description that is meaningfully connected with the main text
&lt;!-- Cite --&gt;
# Figure(s) are cited at least once in the main text
|6=
&lt;!-- Learning feature --&gt;
&lt;!-- Interwiki links ---&gt;
# Add in-text [[m:Help:Interwiki linking|interwiki links]] for first mention of key terms to [[w:|Wikipedia]] and/or [[Motivation and emotion/Book|book chapters]] (see [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 2]])
&lt;!-- Scenarios/examples/case studies --&gt;
# Consider use of more scenarios/examples/case studies 
&lt;!-- Quiz --&gt;
# Consider including quiz question(s) about the take-home messages
&lt;!-- Tables --&gt;
# Promising use of table(s)
# Add table caption
# Cite each table at least once in the text
|7=
&lt;!-- References --&gt;
&lt;!-- Overall --&gt;
# Very good
&lt;!-- Systematic reviews --&gt;
# What are the most relevant systematic reviews/meta-analyses about this topic?
&lt;!-- APA style --&gt;
# Check and correct [https://apastyle.apa.org/instructional-aids/reference-guide.pdf APA referencing style]:
## capitalisation
## [[Help:Wikitext quick reference|italicisation]]
|8=
&lt;!-- Resources --&gt;
&lt;!-- See also --&gt;
# See also
## Excellent
&lt;!-- External links --&gt;
# External links
## Excellent
## Use [[w:Letter case#Sentence casing|sentence casing]]
|9=
&lt;!-- User page --&gt;
# Used effectively
&lt;!-- Description about self --&gt;
# Excellent description about self provided
&lt;!-- Links to profile(s) --&gt;
# Consider linking to your [https://portfolio.canberra.edu.au/ eportfolio] page and/or any other professional online profile or resume such as [https://www.linkedin.com/ LinkedIn]. This is not required, but it can be useful to interlink your professional networks.
&lt;!-- Link to book chapter --&gt;
# A link to the book chapter is provided
|10=
&lt;!-- Social contribution --&gt;
# Excellent – at least three different types of contributions with direct link(s) to evidence
}}
-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:49, 24 August 2025 (UTC)

&lt;!-- Official book chapter feedback --&gt;
{{MEBF/2025
|1=
&lt;!-- Overall comments... --&gt;
# This is an excellent chapter that successfully uses psychological theory and research to address a practical, real-world phenomenon or problem
&lt;!-- Overall - GenAI --&gt;
#* [[Motivation and emotion/Assessment/Using generative AI|genAI use]] is appropriately acknowledged
&lt;!-- Overall – Citations --&gt;
# Excellent use of academic, peer-reviewed citations to support claims
&lt;!-- Overall – Copyedits --&gt;
# For additional feedback, see the following comments and [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2025%2FCortical_structures_and_motivational_drive&amp;diff=2763251&amp;oldid=2758069 these copyedits]
|2=
&lt;!-- Overview – Comments... --&gt;
# Well developed
&lt;!-- Overview – Scenario --&gt;
&lt;!-- Overview – Scenario - Description --&gt;
# Engaging scenario or case study
&lt;!-- Overview – Scenario - Feature --&gt;
# Figure 1 is relevant to the scenario
&lt;!-- Overview – Scenario - Feature --&gt;
# Scenario uses an appropriate feature box
&lt;!-- Overview – Explains problem --&gt;
# Clearly explains the psychological problem or phenomenon
&lt;!-- Overview – Focus questions --&gt;
# The focus questions are excellent (clear and relevant)
|3=
&lt;!-- Theory comments... --&gt;
&lt;!-- Theory – Breadth --&gt;
# Excellent—key theories are very well explained and applied
&lt;!-- Theory – Builds on --&gt;
# Builds exceptionally well on [[w:|Wikipedia]] articles but not related [[Motivation and emotion/Book|chapters]] by embedding interwiki links for key terms
&lt;!-- Theory – Depth --&gt;
# Insightful depth is provided about key theory(ies)
&lt;!-- Theory – Tables/Figures/Lists --&gt;
# Excellent use of tables, figures, and/or lists to clearly convey key theoretical information
&lt;!-- Theory – Citations --&gt;
# Key citations are well used
&lt;!-- Theory – Examples --&gt;
# Excellent use of examples to illustrate theoretical concepts
|4=
&lt;!-- Research comments... --&gt;
&lt;!-- Research – Key findings --&gt;
# Very good review of relevant research
# Greater emphasis on systematic reviews and/or meta-analyses would be ideal
# More detail about key studies would be ideal
&lt;!-- Research – Critical thinking --&gt;
# Good [[w:Critical thinking|critical thinking]] about relevant research is evident
# [[w:Critical thinking|Critical thinking]] about research could be further evidenced by:
## describing the methodology (e.g., sample, measures) in important studies
## considering the strength of relationships
## acknowledging limitations
## pointing out critiques/counterarguments
## suggesting ''specific'' directions for future research
|5=
&lt;!-- Integration comments... --&gt;
# Very good integration between the most relevant theory(ies) and the best research
# The chapter places more emphasis on theory than on research; strive for an integrated balance
# Insufficient integration with related [[Motivation and emotion/Book|chapters]]
|6=
&lt;!-- Conclusion comments... --&gt;
# Very good summary and conclusion
# Remind the reader about the importance of the problem or phenomenon of interest
&lt;!-- Conclusion – Key points --&gt;
# Key points are well summarised
&lt;!-- Conclusion – Focus questions --&gt;
# The focus questions are addressed
&lt;!-- Conclusion – Take-home messages --&gt;
# Add practical, take-home message(s)
|7=
&lt;!-- Written expression – Style comments... --&gt;
&lt;!-- Written expression – Written expression --&gt;
# Written expression
## The quality of written expression is excellent
## Use active (e.g., &quot;this chapter explores&quot; or &quot;this chapter explored&quot;) rather than passive voice (e.g., &quot;this chapter will explore&quot; or &quot;this chapter has explored&quot;) [https://apastyle.apa.org/style-grammar-guidelines/grammar/active-passive-voice][https://www.grammarly.com/blog/active-vs-passive-voice/]
&lt;!-- Written expression – Layout --&gt;
# Layout
## The chapter is well structured, with major sections using sub-sections
## Avoid having sections with 1 sub-heading – use 0 or 2+ sub-headings
&lt;!-- Written expression – Grammar --&gt;
# Grammar
## The grammar for some sentences could be improved (e.g., see {{g}} tags); consider using a grammar checking tool, Studiosity, and/or peer feedback
## Check and make [https://www.grammarly.com/blog/comma/ correct use of commas]
## [https://www.grammarly.com/blog/punctuation-capitalization/possessive-apostrophe/ Possessive apostrophes] are not used correctly (e.g., cats vs cat's vs cats')
&lt;!-- Written expression – APA style --&gt;
# APA style
## Use [[w:Serial comma|serial comma]]s[https://www.buzzfeed.com/adamdavis/the-oxford-comma-is-extremely-important-and-everyone-should][https://www.youtube.com/watch?v=gBx8ooDupXY]
&lt;!-- Written expression – Figures --&gt;
## Figures
### Very well captioned
&lt;!-- Written expression – Figures - Citations --&gt;
### Each Figure is referred to at least once within the main text using APA style
&lt;!-- Written expression – Figures - Other --&gt;
### Adjust some image sizes to make them less dominant (decrease size)
&lt;!-- Written expression – Tables --&gt;
## Tables
### Very well captioned
&lt;!-- Written expression – Tables - Citations --&gt;
### Each Table is referred to at least once within the main text using APA style
&lt;!-- Written expression – Citations --&gt;
## Citations use excellent [https://apastyle.apa.org/products/publication-manual-7th-edition APA Style (7th ed.)]
&lt;!-- Written expression – References --&gt;
## References use reasonably good APA style:
### Check and correct use of italicisation
### Check and correct use of capitalisation[https://apastyle.apa.org/style-grammar-guidelines/capitalization]
|8=
&lt;!-- Learning features comments... --&gt;
# Excellent use of learning features
&lt;!-- Learning features – Wikipedia embedded links --&gt;
# Excellent use of embedded in-text [[m:Help:Interwiki linking|interwiki links]] to Wikipedia articles
&lt;!-- Learning features – Wikiversity embedded links --&gt;
# Add embedded in-text links to related [[Motivation and emotion/Book|book chapters]]. Embedding in-text links to related book chapters helps to integrate this chapter into the broader book project.
&lt;!-- Learning features – Figures, tables, feature boxes, scenarios --&gt;
# Excellent use of figure(s)
# Very good use of table(s)
# Reasonably good use of feature box(es)
# Good use of scenarios, case studies, or examples
&lt;!-- Learning features – Quizzes --&gt;
# Basic use of quiz(zes) and/or reflection question(s)
# The quiz questions could be improved by being more focused on the key points and/or take-home messages
# The quiz questions could be more effective as learning prompts by being embedded as single questions within each corresponding section rather than as a set of questions at the end
&lt;!-- Learning features – See also --&gt;
# Excellent use of the [[{{PAGENAME}}#See also|See also]] section
&lt;!-- Learning features – External links --&gt;
# Excellent use of the [[{{PAGENAME}}#External links|External links]] section
|9=
&lt;!-- Social contribution comments... --&gt;
# ~12 logged, useful, mostly moderate contributions with [[Motivation and emotion/Assessment/Chapter/Summarising social contributions#How to add direct links to contributions|direct links to evidence]]
}}
-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 03:05, 26 October 2025 (UTC)

==AI slop==
{{ping|Jtneill}} I removed the AI image because it’s AI, AI is bad for a laundry list of reasons, and the topic can easily be illustrated by something else. --[[User:Dronebogus|Dronebogus]] ([[User talk:Dronebogus|discuss]] • [[Special:Contributions/Dronebogus|contribs]]) 00:43, 10 April 2026 (UTC)

:Feel free to improve illustrations, but please don't remove images based on your opinion without discussion. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:54, 10 April 2026 (UTC)
::Any image in [[Commons:Category:Victims of addiction]] would be superior. Pick whichever one you think works best [[User:Dronebogus|Dronebogus]] ([[User talk:Dronebogus|discuss]] • [[Special:Contributions/Dronebogus|contribs]]) 01:10, 10 April 2026 (UTC)
:::You are welcome to make constructive edits to improve content on Wikiversity. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 01:16, 10 April 2026 (UTC)</text>
      <sha1>32vlzrjzlagomk2b546xw3wvt2id2ys</sha1>
    </revision>
    <revision>
      <id>2804028</id>
      <parentid>2804021</parentid>
      <timestamp>2026-04-10T01:25:30Z</timestamp>
      <contributor>
        <username>Dronebogus</username>
        <id>3054149</id>
      </contributor>
      <comment>/* AI slop */ Reply</comment>
      <origin>2804028</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="14355" sha1="t7dvo09rl0qlvo1zwg47rzp16mpr0c7" xml:space="preserve">== possible link to 2024 chapter ==

Give this page on [[Motivation and emotion/Book/2024/Work motivation and self-determination theory|Work motivation and self-determination theory]] a look incase it applies to your section on workplace drive. 

[[User:U3054914|U3054914]] ([[User talk:U3054914|discuss]] • [[Special:Contributions/U3054914|contribs]]) 10:58, 13 August 2025 (UTC)

== Heading casing ==
{| style=&quot;float: center; background:transparent;color:inherit;&quot;
|-
| [[File:Crystal Clear app ktip.svg|48px|left]]
| {{#if:|Hi [[User:{{{1}}}|{{{1}}}]].|}} FYI, the recommended [[Wikiversity]] heading style uses [[w:Letter case#Sentence_case|sentence casing]]. For example:&lt;br&gt;
&lt;big&gt;&lt;big&gt;Self-determination theory&lt;/big&gt;&lt;/big&gt;
rather than
&lt;big&gt;&lt;big&gt;Self-Determination Theory&lt;/big&gt;&lt;/big&gt;

Here's an example chapter with correct heading casing: [[Motivation and emotion/Book/2019/Growth mindset development|Growth mindset development]]

-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:49, 24 August 2025 (UTC)
|}
&lt;!-- Official topic development feedback --&gt;
{{METF/2025
|1=
&lt;!-- Title --&gt;
# Title and sub-title correctly worded and use [[w:Letter case#Sentence casing|sentence casing]]
# Title and/or sub-title not correctly worded and/or didn't use [[w:Letter case#Sentence casing|sentence casing]] (fixed)
# User name removed from the page; for authorship see [[Special:History/{{PAGENAME}}|the page's edit history]]
|2=
&lt;!-- Headings --&gt;
# See earlier comment about [[#heading casing|heading casing]]
&lt;!-- Heading structure --&gt;
# Promising 2-level heading structure – could benefit from further development and/or refinement
&lt;!-- Alignment with focus questions --&gt;
# Reasonably good alignment between focus questions and heading structure, but aim for closer alignment
&lt;!-- Other ---&gt;
# Remove [[wikit:acronym#Noun|acronym]]s from headings
&lt;!-- GenAI ---&gt;
# Are the headings based on [[Motivation and emotion/Assessment/Using generative AI|genAI content]]? If so, this needs to be acknowledged in the edit summaries, otherwise it violates academic integrity.
|3=
&lt;!-- Overview--&gt;
# Excellent – Scenario, image, evocative description of the problem/topic, and focus questions
&lt;!-- GenAI ---&gt;
# Does this section include [[Motivation and emotion/Assessment/Using generative AI|genAI content]]? If so, it needs to be acknowledged as such in the edit summaries, otherwise it violates academic integrity.
&lt;!-- Scenario --&gt;
# A scenario or case study is presented in a feature box with an image at the start of this section
&lt;!-- Description --&gt;
# A clear description of the problem/topic is planned or presented
&lt;!-- Focus questions --&gt;
# Reasonably good alignment between focus questions and heading structure, but consider closer alignment
|4=
&lt;!-- Key points--&gt;
&lt;!-- Overall --&gt;
# Promising development of key points
&lt;!-- Writing style --&gt;
# The writing style is clear and easy to follow
&lt;!-- Theory and research --&gt;
# Promising balance of theory and research
&lt;!-- Citations --&gt;
# Very good use of citations
&lt;!-- Other --&gt;
# For sections with sub-sections, provide key points for an overview paragraph prior to branching into the sub-headings
&lt;!-- GenAI ---&gt;
# Do these key points include [[Motivation and emotion/Assessment/Using generative AI|genAI content]]? If so, this needs to be acknowledged in the edit summaries, otherwise it violates academic integrity.
&lt;!-- Conclusion --&gt;
# Conclusion (the most important section) hasn't been developed
# What might the take-home, practical messages be? (What are the answer(s) to the question(s) in the sub-title and/or focus questions?)
|5=
&lt;!-- Figure --&gt;
# Excellent - Relevant figure(s) presented, captioned, and cited
&lt;!-- Caption --&gt;
# Figure caption(s) provide(s) a clear, appropriately detailed description that is meaningfully connected with the main text
&lt;!-- Cite --&gt;
# Figure(s) are cited at least once in the main text
|6=
&lt;!-- Learning feature --&gt;
&lt;!-- Interwiki links ---&gt;
# Add in-text [[m:Help:Interwiki linking|interwiki links]] for first mention of key terms to [[w:|Wikipedia]] and/or [[Motivation and emotion/Book|book chapters]] (see [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 2]])
&lt;!-- Scenarios/examples/case studies --&gt;
# Consider use of more scenarios/examples/case studies 
&lt;!-- Quiz --&gt;
# Consider including quiz question(s) about the take-home messages
&lt;!-- Tables --&gt;
# Promising use of table(s)
# Add table caption
# Cite each table at least once in the text
|7=
&lt;!-- References --&gt;
&lt;!-- Overall --&gt;
# Very good
&lt;!-- Systematic reviews --&gt;
# What are the most relevant systematic reviews/meta-analyses about this topic?
&lt;!-- APA style --&gt;
# Check and correct [https://apastyle.apa.org/instructional-aids/reference-guide.pdf APA referencing style]:
## capitalisation
## [[Help:Wikitext quick reference|italicisation]]
|8=
&lt;!-- Resources --&gt;
&lt;!-- See also --&gt;
# See also
## Excellent
&lt;!-- External links --&gt;
# External links
## Excellent
## Use [[w:Letter case#Sentence casing|sentence casing]]
|9=
&lt;!-- User page --&gt;
# Used effectively
&lt;!-- Description about self --&gt;
# Excellent description about self provided
&lt;!-- Links to profile(s) --&gt;
# Consider linking to your [https://portfolio.canberra.edu.au/ eportfolio] page and/or any other professional online profile or resume such as [https://www.linkedin.com/ LinkedIn]. This is not required, but it can be useful to interlink your professional networks.
&lt;!-- Link to book chapter --&gt;
# A link to the book chapter is provided
|10=
&lt;!-- Social contribution --&gt;
# Excellent – at least three different types of contributions with direct link(s) to evidence
}}
-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:49, 24 August 2025 (UTC)

&lt;!-- Official book chapter feedback --&gt;
{{MEBF/2025
|1=
&lt;!-- Overall comments... --&gt;
# This is an excellent chapter that successfully uses psychological theory and research to address a practical, real-world phenomenon or problem
&lt;!-- Overall - GenAI --&gt;
#* [[Motivation and emotion/Assessment/Using generative AI|genAI use]] is appropriately acknowledged
&lt;!-- Overall – Citations --&gt;
# Excellent use of academic, peer-reviewed citations to support claims
&lt;!-- Overall – Copyedits --&gt;
# For additional feedback, see the following comments and [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2025%2FCortical_structures_and_motivational_drive&amp;diff=2763251&amp;oldid=2758069 these copyedits]
|2=
&lt;!-- Overview – Comments... --&gt;
# Well developed
&lt;!-- Overview – Scenario --&gt;
&lt;!-- Overview – Scenario - Description --&gt;
# Engaging scenario or case study
&lt;!-- Overview – Scenario - Feature --&gt;
# Figure 1 is relevant to the scenario
&lt;!-- Overview – Scenario - Feature --&gt;
# Scenario uses an appropriate feature box
&lt;!-- Overview – Explains problem --&gt;
# Clearly explains the psychological problem or phenomenon
&lt;!-- Overview – Focus questions --&gt;
# The focus questions are excellent (clear and relevant)
|3=
&lt;!-- Theory comments... --&gt;
&lt;!-- Theory – Breadth --&gt;
# Excellent—key theories are very well explained and applied
&lt;!-- Theory – Builds on --&gt;
# Builds exceptionally well on [[w:|Wikipedia]] articles but not related [[Motivation and emotion/Book|chapters]] by embedding interwiki links for key terms
&lt;!-- Theory – Depth --&gt;
# Insightful depth is provided about key theory(ies)
&lt;!-- Theory – Tables/Figures/Lists --&gt;
# Excellent use of tables, figures, and/or lists to clearly convey key theoretical information
&lt;!-- Theory – Citations --&gt;
# Key citations are well used
&lt;!-- Theory – Examples --&gt;
# Excellent use of examples to illustrate theoretical concepts
|4=
&lt;!-- Research comments... --&gt;
&lt;!-- Research – Key findings --&gt;
# Very good review of relevant research
# Greater emphasis on systematic reviews and/or meta-analyses would be ideal
# More detail about key studies would be ideal
&lt;!-- Research – Critical thinking --&gt;
# Good [[w:Critical thinking|critical thinking]] about relevant research is evident
# [[w:Critical thinking|Critical thinking]] about research could be further evidenced by:
## describing the methodology (e.g., sample, measures) in important studies
## considering the strength of relationships
## acknowledging limitations
## pointing out critiques/counterarguments
## suggesting ''specific'' directions for future research
|5=
&lt;!-- Integration comments... --&gt;
# Very good integration between the most relevant theory(ies) and the best research
# The chapter places more emphasis on theory than on research; strive for an integrated balance
# Insufficient integration with related [[Motivation and emotion/Book|chapters]]
|6=
&lt;!-- Conclusion comments... --&gt;
# Very good summary and conclusion
# Remind the reader about the importance of the problem or phenomenon of interest
&lt;!-- Conclusion – Key points --&gt;
# Key points are well summarised
&lt;!-- Conclusion – Focus questions --&gt;
# The focus questions are addressed
&lt;!-- Conclusion – Take-home messages --&gt;
# Add practical, take-home message(s)
|7=
&lt;!-- Written expression – Style comments... --&gt;
&lt;!-- Written expression – Written expression --&gt;
# Written expression
## The quality of written expression is excellent
## Use active (e.g., &quot;this chapter explores&quot; or &quot;this chapter explored&quot;) rather than passive voice (e.g., &quot;this chapter will explore&quot; or &quot;this chapter has explored&quot;) [https://apastyle.apa.org/style-grammar-guidelines/grammar/active-passive-voice][https://www.grammarly.com/blog/active-vs-passive-voice/]
&lt;!-- Written expression – Layout --&gt;
# Layout
## The chapter is well structured, with major sections using sub-sections
## Avoid having sections with 1 sub-heading – use 0 or 2+ sub-headings
&lt;!-- Written expression – Grammar --&gt;
# Grammar
## The grammar for some sentences could be improved (e.g., see {{g}} tags); consider using a grammar checking tool, Studiosity, and/or peer feedback
## Check and make [https://www.grammarly.com/blog/comma/ correct use of commas]
## [https://www.grammarly.com/blog/punctuation-capitalization/possessive-apostrophe/ Possessive apostrophes] are not used correctly (e.g., cats vs cat's vs cats')
&lt;!-- Written expression – APA style --&gt;
# APA style
## Use [[w:Serial comma|serial comma]]s[https://www.buzzfeed.com/adamdavis/the-oxford-comma-is-extremely-important-and-everyone-should][https://www.youtube.com/watch?v=gBx8ooDupXY]
&lt;!-- Written expression – Figures --&gt;
## Figures
### Very well captioned
&lt;!-- Written expression – Figures - Citations --&gt;
### Each Figure is referred to at least once within the main text using APA style
&lt;!-- Written expression – Figures - Other --&gt;
### Adjust some image sizes to make them less dominant (decrease size)
&lt;!-- Written expression – Tables --&gt;
## Tables
### Very well captioned
&lt;!-- Written expression – Tables - Citations --&gt;
### Each Table is referred to at least once within the main text using APA style
&lt;!-- Written expression – Citations --&gt;
## Citations use excellent [https://apastyle.apa.org/products/publication-manual-7th-edition APA Style (7th ed.)]
&lt;!-- Written expression – References --&gt;
## References use reasonably good APA style:
### Check and correct use of italicisation
### Check and correct use of capitalisation[https://apastyle.apa.org/style-grammar-guidelines/capitalization]
|8=
&lt;!-- Learning features comments... --&gt;
# Excellent use of learning features
&lt;!-- Learning features – Wikipedia embedded links --&gt;
# Excellent use of embedded in-text [[m:Help:Interwiki linking|interwiki links]] to Wikipedia articles
&lt;!-- Learning features – Wikiversity embedded links --&gt;
# Add embedded in-text links to related [[Motivation and emotion/Book|book chapters]]. Embedding in-text links to related book chapters helps to integrate this chapter into the broader book project.
&lt;!-- Learning features – Figures, tables, feature boxes, scenarios --&gt;
# Excellent use of figure(s)
# Very good use of table(s)
# Reasonably good use of feature box(es)
# Good use of scenarios, case studies, or examples
&lt;!-- Learning features – Quizzes --&gt;
# Basic use of quiz(zes) and/or reflection question(s)
# The quiz questions could be improved by being more focused on the key points and/or take-home messages
# The quiz questions could be more effective as learning prompts by being embedded as single questions within each corresponding section rather than as a set of questions at the end
&lt;!-- Learning features – See also --&gt;
# Excellent use of the [[{{PAGENAME}}#See also|See also]] section
&lt;!-- Learning features – External links --&gt;
# Excellent use of the [[{{PAGENAME}}#External links|External links]] section
|9=
&lt;!-- Social contribution comments... --&gt;
# ~12 logged, useful, mostly moderate contributions with [[Motivation and emotion/Assessment/Chapter/Summarising social contributions#How to add direct links to contributions|direct links to evidence]]
}}
-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 03:05, 26 October 2025 (UTC)

==AI slop==
{{ping|Jtneill}} I removed the AI image because it’s AI, AI is bad for a laundry list of reasons, and the topic can easily be illustrated by something else. --[[User:Dronebogus|Dronebogus]] ([[User talk:Dronebogus|discuss]] • [[Special:Contributions/Dronebogus|contribs]]) 00:43, 10 April 2026 (UTC)

:Feel free to improve illustrations, but please don't remove images based on your opinion without discussion. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:54, 10 April 2026 (UTC)
::Any image in [[Commons:Category:Victims of addiction]] would be superior. Pick whichever one you think works best [[User:Dronebogus|Dronebogus]] ([[User talk:Dronebogus|discuss]] • [[Special:Contributions/Dronebogus|contribs]]) 01:10, 10 April 2026 (UTC)
:::You are welcome to make constructive edits to improve content on Wikiversity. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 01:16, 10 April 2026 (UTC)
::::I am asking for your opinion. Which one is the best replacement? [[User:Dronebogus|Dronebogus]] ([[User talk:Dronebogus|discuss]] • [[Special:Contributions/Dronebogus|contribs]]) 01:25, 10 April 2026 (UTC)</text>
      <sha1>t7dvo09rl0qlvo1zwg47rzp16mpr0c7</sha1>
    </revision>
    <revision>
      <id>2804034</id>
      <parentid>2804028</parentid>
      <timestamp>2026-04-10T01:34:11Z</timestamp>
      <contributor>
        <username>Jtneill</username>
        <id>10242</id>
      </contributor>
      <comment>/* AI slop */ Reply</comment>
      <origin>2804034</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="14695" sha1="eq0w29lljx4ol7ay0u1z2imzja687u4" xml:space="preserve">== possible link to 2024 chapter ==

Give this page on [[Motivation and emotion/Book/2024/Work motivation and self-determination theory|Work motivation and self-determination theory]] a look incase it applies to your section on workplace drive. 

[[User:U3054914|U3054914]] ([[User talk:U3054914|discuss]] • [[Special:Contributions/U3054914|contribs]]) 10:58, 13 August 2025 (UTC)

== Heading casing ==
{| style=&quot;float: center; background:transparent;color:inherit;&quot;
|-
| [[File:Crystal Clear app ktip.svg|48px|left]]
| {{#if:|Hi [[User:{{{1}}}|{{{1}}}]].|}} FYI, the recommended [[Wikiversity]] heading style uses [[w:Letter case#Sentence_case|sentence casing]]. For example:&lt;br&gt;
&lt;big&gt;&lt;big&gt;Self-determination theory&lt;/big&gt;&lt;/big&gt;
rather than
&lt;big&gt;&lt;big&gt;Self-Determination Theory&lt;/big&gt;&lt;/big&gt;

Here's an example chapter with correct heading casing: [[Motivation and emotion/Book/2019/Growth mindset development|Growth mindset development]]

-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:49, 24 August 2025 (UTC)
|}
&lt;!-- Official topic development feedback --&gt;
{{METF/2025
|1=
&lt;!-- Title --&gt;
# Title and sub-title correctly worded and use [[w:Letter case#Sentence casing|sentence casing]]
# Title and/or sub-title not correctly worded and/or didn't use [[w:Letter case#Sentence casing|sentence casing]] (fixed)
# User name removed from the page; for authorship see [[Special:History/{{PAGENAME}}|the page's edit history]]
|2=
&lt;!-- Headings --&gt;
# See earlier comment about [[#heading casing|heading casing]]
&lt;!-- Heading structure --&gt;
# Promising 2-level heading structure – could benefit from further development and/or refinement
&lt;!-- Alignment with focus questions --&gt;
# Reasonably good alignment between focus questions and heading structure, but aim for closer alignment
&lt;!-- Other ---&gt;
# Remove [[wikit:acronym#Noun|acronym]]s from headings
&lt;!-- GenAI ---&gt;
# Are the headings based on [[Motivation and emotion/Assessment/Using generative AI|genAI content]]? If so, this needs to be acknowledged in the edit summaries, otherwise it violates academic integrity.
|3=
&lt;!-- Overview--&gt;
# Excellent – Scenario, image, evocative description of the problem/topic, and focus questions
&lt;!-- GenAI ---&gt;
# Does this section include [[Motivation and emotion/Assessment/Using generative AI|genAI content]]? If so, it needs to be acknowledged as such in the edit summaries, otherwise it violates academic integrity.
&lt;!-- Scenario --&gt;
# A scenario or case study is presented in a feature box with an image at the start of this section
&lt;!-- Description --&gt;
# A clear description of the problem/topic is planned or presented
&lt;!-- Focus questions --&gt;
# Reasonably good alignment between focus questions and heading structure, but consider closer alignment
|4=
&lt;!-- Key points--&gt;
&lt;!-- Overall --&gt;
# Promising development of key points
&lt;!-- Writing style --&gt;
# The writing style is clear and easy to follow
&lt;!-- Theory and research --&gt;
# Promising balance of theory and research
&lt;!-- Citations --&gt;
# Very good use of citations
&lt;!-- Other --&gt;
# For sections with sub-sections, provide key points for an overview paragraph prior to branching into the sub-headings
&lt;!-- GenAI ---&gt;
# Do these key points include [[Motivation and emotion/Assessment/Using generative AI|genAI content]]? If so, this needs to be acknowledged in the edit summaries, otherwise it violates academic integrity.
&lt;!-- Conclusion --&gt;
# Conclusion (the most important section) hasn't been developed
# What might the take-home, practical messages be? (What are the answer(s) to the question(s) in the sub-title and/or focus questions?)
|5=
&lt;!-- Figure --&gt;
# Excellent - Relevant figure(s) presented, captioned, and cited
&lt;!-- Caption --&gt;
# Figure caption(s) provide(s) a clear, appropriately detailed description that is meaningfully connected with the main text
&lt;!-- Cite --&gt;
# Figure(s) are cited at least once in the main text
|6=
&lt;!-- Learning feature --&gt;
&lt;!-- Interwiki links ---&gt;
# Add in-text [[m:Help:Interwiki linking|interwiki links]] for first mention of key terms to [[w:|Wikipedia]] and/or [[Motivation and emotion/Book|book chapters]] (see [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 2]])
&lt;!-- Scenarios/examples/case studies --&gt;
# Consider use of more scenarios/examples/case studies 
&lt;!-- Quiz --&gt;
# Consider including quiz question(s) about the take-home messages
&lt;!-- Tables --&gt;
# Promising use of table(s)
# Add table caption
# Cite each table at least once in the text
|7=
&lt;!-- References --&gt;
&lt;!-- Overall --&gt;
# Very good
&lt;!-- Systematic reviews --&gt;
# What are the most relevant systematic reviews/meta-analyses about this topic?
&lt;!-- APA style --&gt;
# Check and correct [https://apastyle.apa.org/instructional-aids/reference-guide.pdf APA referencing style]:
## capitalisation
## [[Help:Wikitext quick reference|italicisation]]
|8=
&lt;!-- Resources --&gt;
&lt;!-- See also --&gt;
# See also
## Excellent
&lt;!-- External links --&gt;
# External links
## Excellent
## Use [[w:Letter case#Sentence casing|sentence casing]]
|9=
&lt;!-- User page --&gt;
# Used effectively
&lt;!-- Description about self --&gt;
# Excellent description about self provided
&lt;!-- Links to profile(s) --&gt;
# Consider linking to your [https://portfolio.canberra.edu.au/ eportfolio] page and/or any other professional online profile or resume such as [https://www.linkedin.com/ LinkedIn]. This is not required, but it can be useful to interlink your professional networks.
&lt;!-- Link to book chapter --&gt;
# A link to the book chapter is provided
|10=
&lt;!-- Social contribution --&gt;
# Excellent – at least three different types of contributions with direct link(s) to evidence
}}
-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:49, 24 August 2025 (UTC)

&lt;!-- Official book chapter feedback --&gt;
{{MEBF/2025
|1=
&lt;!-- Overall comments... --&gt;
# This is an excellent chapter that successfully uses psychological theory and research to address a practical, real-world phenomenon or problem
&lt;!-- Overall - GenAI --&gt;
#* [[Motivation and emotion/Assessment/Using generative AI|genAI use]] is appropriately acknowledged
&lt;!-- Overall – Citations --&gt;
# Excellent use of academic, peer-reviewed citations to support claims
&lt;!-- Overall – Copyedits --&gt;
# For additional feedback, see the following comments and [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2025%2FCortical_structures_and_motivational_drive&amp;diff=2763251&amp;oldid=2758069 these copyedits]
|2=
&lt;!-- Overview – Comments... --&gt;
# Well developed
&lt;!-- Overview – Scenario --&gt;
&lt;!-- Overview – Scenario - Description --&gt;
# Engaging scenario or case study
&lt;!-- Overview – Scenario - Feature --&gt;
# Figure 1 is relevant to the scenario
&lt;!-- Overview – Scenario - Feature --&gt;
# Scenario uses an appropriate feature box
&lt;!-- Overview – Explains problem --&gt;
# Clearly explains the psychological problem or phenomenon
&lt;!-- Overview – Focus questions --&gt;
# The focus questions are excellent (clear and relevant)
|3=
&lt;!-- Theory comments... --&gt;
&lt;!-- Theory – Breadth --&gt;
# Excellent—key theories are very well explained and applied
&lt;!-- Theory – Builds on --&gt;
# Builds exceptionally well on [[w:|Wikipedia]] articles but not related [[Motivation and emotion/Book|chapters]] by embedding interwiki links for key terms
&lt;!-- Theory – Depth --&gt;
# Insightful depth is provided about key theory(ies)
&lt;!-- Theory – Tables/Figures/Lists --&gt;
# Excellent use of tables, figures, and/or lists to clearly convey key theoretical information
&lt;!-- Theory – Citations --&gt;
# Key citations are well used
&lt;!-- Theory – Examples --&gt;
# Excellent use of examples to illustrate theoretical concepts
|4=
&lt;!-- Research comments... --&gt;
&lt;!-- Research – Key findings --&gt;
# Very good review of relevant research
# Greater emphasis on systematic reviews and/or meta-analyses would be ideal
# More detail about key studies would be ideal
&lt;!-- Research – Critical thinking --&gt;
# Good [[w:Critical thinking|critical thinking]] about relevant research is evident
# [[w:Critical thinking|Critical thinking]] about research could be further evidenced by:
## describing the methodology (e.g., sample, measures) in important studies
## considering the strength of relationships
## acknowledging limitations
## pointing out critiques/counterarguments
## suggesting ''specific'' directions for future research
|5=
&lt;!-- Integration comments... --&gt;
# Very good integration between the most relevant theory(ies) and the best research
# The chapter places more emphasis on theory than on research; strive for an integrated balance
# Insufficient integration with related [[Motivation and emotion/Book|chapters]]
|6=
&lt;!-- Conclusion comments... --&gt;
# Very good summary and conclusion
# Remind the reader about the importance of the problem or phenomenon of interest
&lt;!-- Conclusion – Key points --&gt;
# Key points are well summarised
&lt;!-- Conclusion – Focus questions --&gt;
# The focus questions are addressed
&lt;!-- Conclusion – Take-home messages --&gt;
# Add practical, take-home message(s)
|7=
&lt;!-- Written expression – Style comments... --&gt;
&lt;!-- Written expression – Written expression --&gt;
# Written expression
## The quality of written expression is excellent
## Use active (e.g., &quot;this chapter explores&quot; or &quot;this chapter explored&quot;) rather than passive voice (e.g., &quot;this chapter will explore&quot; or &quot;this chapter has explored&quot;) [https://apastyle.apa.org/style-grammar-guidelines/grammar/active-passive-voice][https://www.grammarly.com/blog/active-vs-passive-voice/]
&lt;!-- Written expression – Layout --&gt;
# Layout
## The chapter is well structured, with major sections using sub-sections
## Avoid having sections with 1 sub-heading – use 0 or 2+ sub-headings
&lt;!-- Written expression – Grammar --&gt;
# Grammar
## The grammar for some sentences could be improved (e.g., see {{g}} tags); consider using a grammar checking tool, Studiosity, and/or peer feedback
## Check and make [https://www.grammarly.com/blog/comma/ correct use of commas]
## [https://www.grammarly.com/blog/punctuation-capitalization/possessive-apostrophe/ Possessive apostrophes] are not used correctly (e.g., cats vs cat's vs cats')
&lt;!-- Written expression – APA style --&gt;
# APA style
## Use [[w:Serial comma|serial comma]]s[https://www.buzzfeed.com/adamdavis/the-oxford-comma-is-extremely-important-and-everyone-should][https://www.youtube.com/watch?v=gBx8ooDupXY]
&lt;!-- Written expression – Figures --&gt;
## Figures
### Very well captioned
&lt;!-- Written expression – Figures - Citations --&gt;
### Each Figure is referred to at least once within the main text using APA style
&lt;!-- Written expression – Figures - Other --&gt;
### Adjust some image sizes to make them less dominant (decrease size)
&lt;!-- Written expression – Tables --&gt;
## Tables
### Very well captioned
&lt;!-- Written expression – Tables - Citations --&gt;
### Each Table is referred to at least once within the main text using APA style
&lt;!-- Written expression – Citations --&gt;
## Citations use excellent [https://apastyle.apa.org/products/publication-manual-7th-edition APA Style (7th ed.)]
&lt;!-- Written expression – References --&gt;
## References use reasonably good APA style:
### Check and correct use of italicisation
### Check and correct use of capitalisation[https://apastyle.apa.org/style-grammar-guidelines/capitalization]
|8=
&lt;!-- Learning features comments... --&gt;
# Excellent use of learning features
&lt;!-- Learning features – Wikipedia embedded links --&gt;
# Excellent use of embedded in-text [[m:Help:Interwiki linking|interwiki links]] to Wikipedia articles
&lt;!-- Learning features – Wikiversity embedded links --&gt;
# Add embedded in-text links to related [[Motivation and emotion/Book|book chapters]]. Embedding in-text links to related book chapters helps to integrate this chapter into the broader book project.
&lt;!-- Learning features – Figures, tables, feature boxes, scenarios --&gt;
# Excellent use of figure(s)
# Very good use of table(s)
# Reasonably good use of feature box(es)
# Good use of scenarios, case studies, or examples
&lt;!-- Learning features – Quizzes --&gt;
# Basic use of quiz(zes) and/or reflection question(s)
# The quiz questions could be improved by being more focused on the key points and/or take-home messages
# The quiz questions could be more effective as learning prompts by being embedded as single questions within each corresponding section rather than as a set of questions at the end
&lt;!-- Learning features – See also --&gt;
# Excellent use of the [[{{PAGENAME}}#See also|See also]] section
&lt;!-- Learning features – External links --&gt;
# Excellent use of the [[{{PAGENAME}}#External links|External links]] section
|9=
&lt;!-- Social contribution comments... --&gt;
# ~12 logged, useful, mostly moderate contributions with [[Motivation and emotion/Assessment/Chapter/Summarising social contributions#How to add direct links to contributions|direct links to evidence]]
}}
-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 03:05, 26 October 2025 (UTC)

==AI slop==
{{ping|Jtneill}} I removed the AI image because it’s AI, AI is bad for a laundry list of reasons, and the topic can easily be illustrated by something else. --[[User:Dronebogus|Dronebogus]] ([[User talk:Dronebogus|discuss]] • [[Special:Contributions/Dronebogus|contribs]]) 00:43, 10 April 2026 (UTC)

:Feel free to improve illustrations, but please don't remove images based on your opinion without discussion. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:54, 10 April 2026 (UTC)
::Any image in [[Commons:Category:Victims of addiction]] would be superior. Pick whichever one you think works best [[User:Dronebogus|Dronebogus]] ([[User talk:Dronebogus|discuss]] • [[Special:Contributions/Dronebogus|contribs]]) 01:10, 10 April 2026 (UTC)
:::You are welcome to make constructive edits to improve content on Wikiversity. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 01:16, 10 April 2026 (UTC)
::::I am asking for your opinion. Which one is the best replacement? [[User:Dronebogus|Dronebogus]] ([[User talk:Dronebogus|discuss]] • [[Special:Contributions/Dronebogus|contribs]]) 01:25, 10 April 2026 (UTC)
:::::I am unwilling to investigate a category at the moment because I am reviewing the other images you've removed. If you think there is a better image, feel free to suggest it and I can share my view. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 01:34, 10 April 2026 (UTC)</text>
      <sha1>eq0w29lljx4ol7ay0u1z2imzja687u4</sha1>
    </revision>
    <revision>
      <id>2804035</id>
      <parentid>2804034</parentid>
      <timestamp>2026-04-10T01:35:38Z</timestamp>
      <contributor>
        <username>Dronebogus</username>
        <id>3054149</id>
      </contributor>
      <comment>/* AI slop */ Reply</comment>
      <origin>2804035</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="14945" sha1="4m9wh6s48g9tvbeeuwopjahbgp4eobv" xml:space="preserve">== possible link to 2024 chapter ==

Give this page on [[Motivation and emotion/Book/2024/Work motivation and self-determination theory|Work motivation and self-determination theory]] a look incase it applies to your section on workplace drive. 

[[User:U3054914|U3054914]] ([[User talk:U3054914|discuss]] • [[Special:Contributions/U3054914|contribs]]) 10:58, 13 August 2025 (UTC)

== Heading casing ==
{| style=&quot;float: center; background:transparent;color:inherit;&quot;
|-
| [[File:Crystal Clear app ktip.svg|48px|left]]
| {{#if:|Hi [[User:{{{1}}}|{{{1}}}]].|}} FYI, the recommended [[Wikiversity]] heading style uses [[w:Letter case#Sentence_case|sentence casing]]. For example:&lt;br&gt;
&lt;big&gt;&lt;big&gt;Self-determination theory&lt;/big&gt;&lt;/big&gt;
rather than
&lt;big&gt;&lt;big&gt;Self-Determination Theory&lt;/big&gt;&lt;/big&gt;

Here's an example chapter with correct heading casing: [[Motivation and emotion/Book/2019/Growth mindset development|Growth mindset development]]

-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:49, 24 August 2025 (UTC)
|}
&lt;!-- Official topic development feedback --&gt;
{{METF/2025
|1=
&lt;!-- Title --&gt;
# Title and sub-title correctly worded and use [[w:Letter case#Sentence casing|sentence casing]]
# Title and/or sub-title not correctly worded and/or didn't use [[w:Letter case#Sentence casing|sentence casing]] (fixed)
# User name removed from the page; for authorship see [[Special:History/{{PAGENAME}}|the page's edit history]]
|2=
&lt;!-- Headings --&gt;
# See earlier comment about [[#heading casing|heading casing]]
&lt;!-- Heading structure --&gt;
# Promising 2-level heading structure – could benefit from further development and/or refinement
&lt;!-- Alignment with focus questions --&gt;
# Reasonably good alignment between focus questions and heading structure, but aim for closer alignment
&lt;!-- Other ---&gt;
# Remove [[wikit:acronym#Noun|acronym]]s from headings
&lt;!-- GenAI ---&gt;
# Are the headings based on [[Motivation and emotion/Assessment/Using generative AI|genAI content]]? If so, this needs to be acknowledged in the edit summaries, otherwise it violates academic integrity.
|3=
&lt;!-- Overview--&gt;
# Excellent – Scenario, image, evocative description of the problem/topic, and focus questions
&lt;!-- GenAI ---&gt;
# Does this section include [[Motivation and emotion/Assessment/Using generative AI|genAI content]]? If so, it needs to be acknowledged as such in the edit summaries, otherwise it violates academic integrity.
&lt;!-- Scenario --&gt;
# A scenario or case study is presented in a feature box with an image at the start of this section
&lt;!-- Description --&gt;
# A clear description of the problem/topic is planned or presented
&lt;!-- Focus questions --&gt;
# Reasonably good alignment between focus questions and heading structure, but consider closer alignment
|4=
&lt;!-- Key points--&gt;
&lt;!-- Overall --&gt;
# Promising development of key points
&lt;!-- Writing style --&gt;
# The writing style is clear and easy to follow
&lt;!-- Theory and research --&gt;
# Promising balance of theory and research
&lt;!-- Citations --&gt;
# Very good use of citations
&lt;!-- Other --&gt;
# For sections with sub-sections, provide key points for an overview paragraph prior to branching into the sub-headings
&lt;!-- GenAI ---&gt;
# Do these key points include [[Motivation and emotion/Assessment/Using generative AI|genAI content]]? If so, this needs to be acknowledged in the edit summaries, otherwise it violates academic integrity.
&lt;!-- Conclusion --&gt;
# Conclusion (the most important section) hasn't been developed
# What might the take-home, practical messages be? (What are the answer(s) to the question(s) in the sub-title and/or focus questions?)
|5=
&lt;!-- Figure --&gt;
# Excellent - Relevant figure(s) presented, captioned, and cited
&lt;!-- Caption --&gt;
# Figure caption(s) provide(s) a clear, appropriately detailed description that is meaningfully connected with the main text
&lt;!-- Cite --&gt;
# Figure(s) are cited at least once in the main text
|6=
&lt;!-- Learning feature --&gt;
&lt;!-- Interwiki links ---&gt;
# Add in-text [[m:Help:Interwiki linking|interwiki links]] for first mention of key terms to [[w:|Wikipedia]] and/or [[Motivation and emotion/Book|book chapters]] (see [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 2]])
&lt;!-- Scenarios/examples/case studies --&gt;
# Consider use of more scenarios/examples/case studies 
&lt;!-- Quiz --&gt;
# Consider including quiz question(s) about the take-home messages
&lt;!-- Tables --&gt;
# Promising use of table(s)
# Add table caption
# Cite each table at least once in the text
|7=
&lt;!-- References --&gt;
&lt;!-- Overall --&gt;
# Very good
&lt;!-- Systematic reviews --&gt;
# What are the most relevant systematic reviews/meta-analyses about this topic?
&lt;!-- APA style --&gt;
# Check and correct [https://apastyle.apa.org/instructional-aids/reference-guide.pdf APA referencing style]:
## capitalisation
## [[Help:Wikitext quick reference|italicisation]]
|8=
&lt;!-- Resources --&gt;
&lt;!-- See also --&gt;
# See also
## Excellent
&lt;!-- External links --&gt;
# External links
## Excellent
## Use [[w:Letter case#Sentence casing|sentence casing]]
|9=
&lt;!-- User page --&gt;
# Used effectively
&lt;!-- Description about self --&gt;
# Excellent description about self provided
&lt;!-- Links to profile(s) --&gt;
# Consider linking to your [https://portfolio.canberra.edu.au/ eportfolio] page and/or any other professional online profile or resume such as [https://www.linkedin.com/ LinkedIn]. This is not required, but it can be useful to interlink your professional networks.
&lt;!-- Link to book chapter --&gt;
# A link to the book chapter is provided
|10=
&lt;!-- Social contribution --&gt;
# Excellent – at least three different types of contributions with direct link(s) to evidence
}}
-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:49, 24 August 2025 (UTC)

&lt;!-- Official book chapter feedback --&gt;
{{MEBF/2025
|1=
&lt;!-- Overall comments... --&gt;
# This is an excellent chapter that successfully uses psychological theory and research to address a practical, real-world phenomenon or problem
&lt;!-- Overall - GenAI --&gt;
#* [[Motivation and emotion/Assessment/Using generative AI|genAI use]] is appropriately acknowledged
&lt;!-- Overall – Citations --&gt;
# Excellent use of academic, peer-reviewed citations to support claims
&lt;!-- Overall – Copyedits --&gt;
# For additional feedback, see the following comments and [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2025%2FCortical_structures_and_motivational_drive&amp;diff=2763251&amp;oldid=2758069 these copyedits]
|2=
&lt;!-- Overview – Comments... --&gt;
# Well developed
&lt;!-- Overview – Scenario --&gt;
&lt;!-- Overview – Scenario - Description --&gt;
# Engaging scenario or case study
&lt;!-- Overview – Scenario - Feature --&gt;
# Figure 1 is relevant to the scenario
&lt;!-- Overview – Scenario - Feature --&gt;
# Scenario uses an appropriate feature box
&lt;!-- Overview – Explains problem --&gt;
# Clearly explains the psychological problem or phenomenon
&lt;!-- Overview – Focus questions --&gt;
# The focus questions are excellent (clear and relevant)
|3=
&lt;!-- Theory comments... --&gt;
&lt;!-- Theory – Breadth --&gt;
# Excellent—key theories are very well explained and applied
&lt;!-- Theory – Builds on --&gt;
# Builds exceptionally well on [[w:|Wikipedia]] articles but not related [[Motivation and emotion/Book|chapters]] by embedding interwiki links for key terms
&lt;!-- Theory – Depth --&gt;
# Insightful depth is provided about key theory(ies)
&lt;!-- Theory – Tables/Figures/Lists --&gt;
# Excellent use of tables, figures, and/or lists to clearly convey key theoretical information
&lt;!-- Theory – Citations --&gt;
# Key citations are well used
&lt;!-- Theory – Examples --&gt;
# Excellent use of examples to illustrate theoretical concepts
|4=
&lt;!-- Research comments... --&gt;
&lt;!-- Research – Key findings --&gt;
# Very good review of relevant research
# Greater emphasis on systematic reviews and/or meta-analyses would be ideal
# More detail about key studies would be ideal
&lt;!-- Research – Critical thinking --&gt;
# Good [[w:Critical thinking|critical thinking]] about relevant research is evident
# [[w:Critical thinking|Critical thinking]] about research could be further evidenced by:
## describing the methodology (e.g., sample, measures) in important studies
## considering the strength of relationships
## acknowledging limitations
## pointing out critiques/counterarguments
## suggesting ''specific'' directions for future research
|5=
&lt;!-- Integration comments... --&gt;
# Very good integration between the most relevant theory(ies) and the best research
# The chapter places more emphasis on theory than on research; strive for an integrated balance
# Insufficient integration with related [[Motivation and emotion/Book|chapters]]
|6=
&lt;!-- Conclusion comments... --&gt;
# Very good summary and conclusion
# Remind the reader about the importance of the problem or phenomenon of interest
&lt;!-- Conclusion – Key points --&gt;
# Key points are well summarised
&lt;!-- Conclusion – Focus questions --&gt;
# The focus questions are addressed
&lt;!-- Conclusion – Take-home messages --&gt;
# Add practical, take-home message(s)
|7=
&lt;!-- Written expression – Style comments... --&gt;
&lt;!-- Written expression – Written expression --&gt;
# Written expression
## The quality of written expression is excellent
## Use active (e.g., &quot;this chapter explores&quot; or &quot;this chapter explored&quot;) rather than passive voice (e.g., &quot;this chapter will explore&quot; or &quot;this chapter has explored&quot;) [https://apastyle.apa.org/style-grammar-guidelines/grammar/active-passive-voice][https://www.grammarly.com/blog/active-vs-passive-voice/]
&lt;!-- Written expression – Layout --&gt;
# Layout
## The chapter is well structured, with major sections using sub-sections
## Avoid having sections with 1 sub-heading – use 0 or 2+ sub-headings
&lt;!-- Written expression – Grammar --&gt;
# Grammar
## The grammar for some sentences could be improved (e.g., see {{g}} tags); consider using a grammar checking tool, Studiosity, and/or peer feedback
## Check and make [https://www.grammarly.com/blog/comma/ correct use of commas]
## [https://www.grammarly.com/blog/punctuation-capitalization/possessive-apostrophe/ Possessive apostrophes] are not used correctly (e.g., cats vs cat's vs cats')
&lt;!-- Written expression – APA style --&gt;
# APA style
## Use [[w:Serial comma|serial comma]]s[https://www.buzzfeed.com/adamdavis/the-oxford-comma-is-extremely-important-and-everyone-should][https://www.youtube.com/watch?v=gBx8ooDupXY]
&lt;!-- Written expression – Figures --&gt;
## Figures
### Very well captioned
&lt;!-- Written expression – Figures - Citations --&gt;
### Each Figure is referred to at least once within the main text using APA style
&lt;!-- Written expression – Figures - Other --&gt;
### Adjust some image sizes to make them less dominant (decrease size)
&lt;!-- Written expression – Tables --&gt;
## Tables
### Very well captioned
&lt;!-- Written expression – Tables - Citations --&gt;
### Each Table is referred to at least once within the main text using APA style
&lt;!-- Written expression – Citations --&gt;
## Citations use excellent [https://apastyle.apa.org/products/publication-manual-7th-edition APA Style (7th ed.)]
&lt;!-- Written expression – References --&gt;
## References use reasonably good APA style:
### Check and correct use of italicisation
### Check and correct use of capitalisation[https://apastyle.apa.org/style-grammar-guidelines/capitalization]
|8=
&lt;!-- Learning features comments... --&gt;
# Excellent use of learning features
&lt;!-- Learning features – Wikipedia embedded links --&gt;
# Excellent use of embedded in-text [[m:Help:Interwiki linking|interwiki links]] to Wikipedia articles
&lt;!-- Learning features – Wikiversity embedded links --&gt;
# Add embedded in-text links to related [[Motivation and emotion/Book|book chapters]]. Embedding in-text links to related book chapters helps to integrate this chapter into the broader book project.
&lt;!-- Learning features – Figures, tables, feature boxes, scenarios --&gt;
# Excellent use of figure(s)
# Very good use of table(s)
# Reasonably good use of feature box(es)
# Good use of scenarios, case studies, or examples
&lt;!-- Learning features – Quizzes --&gt;
# Basic use of quiz(zes) and/or reflection question(s)
# The quiz questions could be improved by being more focused on the key points and/or take-home messages
# The quiz questions could be more effective as learning prompts by being embedded as single questions within each corresponding section rather than as a set of questions at the end
&lt;!-- Learning features – See also --&gt;
# Excellent use of the [[{{PAGENAME}}#See also|See also]] section
&lt;!-- Learning features – External links --&gt;
# Excellent use of the [[{{PAGENAME}}#External links|External links]] section
|9=
&lt;!-- Social contribution comments... --&gt;
# ~12 logged, useful, mostly moderate contributions with [[Motivation and emotion/Assessment/Chapter/Summarising social contributions#How to add direct links to contributions|direct links to evidence]]
}}
-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 03:05, 26 October 2025 (UTC)

==AI slop==
{{ping|Jtneill}} I removed the AI image because it’s AI, AI is bad for a laundry list of reasons, and the topic can easily be illustrated by something else. --[[User:Dronebogus|Dronebogus]] ([[User talk:Dronebogus|discuss]] • [[Special:Contributions/Dronebogus|contribs]]) 00:43, 10 April 2026 (UTC)

:Feel free to improve illustrations, but please don't remove images based on your opinion without discussion. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:54, 10 April 2026 (UTC)
::Any image in [[Commons:Category:Victims of addiction]] would be superior. Pick whichever one you think works best [[User:Dronebogus|Dronebogus]] ([[User talk:Dronebogus|discuss]] • [[Special:Contributions/Dronebogus|contribs]]) 01:10, 10 April 2026 (UTC)
:::You are welcome to make constructive edits to improve content on Wikiversity. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 01:16, 10 April 2026 (UTC)
::::I am asking for your opinion. Which one is the best replacement? [[User:Dronebogus|Dronebogus]] ([[User talk:Dronebogus|discuss]] • [[Special:Contributions/Dronebogus|contribs]]) 01:25, 10 April 2026 (UTC)
:::::I am unwilling to investigate a category at the moment because I am reviewing the other images you've removed. If you think there is a better image, feel free to suggest it and I can share my view. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 01:34, 10 April 2026 (UTC)
::::::If you just want to illustrate addiction in general then [[:File:Drug addict.jpg]] is perfectly fine [[User:Dronebogus|Dronebogus]] ([[User talk:Dronebogus|discuss]] • [[Special:Contributions/Dronebogus|contribs]]) 01:35, 10 April 2026 (UTC)</text>
      <sha1>4m9wh6s48g9tvbeeuwopjahbgp4eobv</sha1>
    </revision>
    <revision>
      <id>2804051</id>
      <parentid>2804035</parentid>
      <timestamp>2026-04-10T02:46:39Z</timestamp>
      <contributor>
        <username>Jtneill</username>
        <id>10242</id>
      </contributor>
      <comment>/* AI slop */ Reply</comment>
      <origin>2804051</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="15116" sha1="a6wzuktrcqxs5wspmskov15p3fs09wz" xml:space="preserve">== possible link to 2024 chapter ==

Give this page on [[Motivation and emotion/Book/2024/Work motivation and self-determination theory|Work motivation and self-determination theory]] a look incase it applies to your section on workplace drive. 

[[User:U3054914|U3054914]] ([[User talk:U3054914|discuss]] • [[Special:Contributions/U3054914|contribs]]) 10:58, 13 August 2025 (UTC)

== Heading casing ==
{| style=&quot;float: center; background:transparent;color:inherit;&quot;
|-
| [[File:Crystal Clear app ktip.svg|48px|left]]
| {{#if:|Hi [[User:{{{1}}}|{{{1}}}]].|}} FYI, the recommended [[Wikiversity]] heading style uses [[w:Letter case#Sentence_case|sentence casing]]. For example:&lt;br&gt;
&lt;big&gt;&lt;big&gt;Self-determination theory&lt;/big&gt;&lt;/big&gt;
rather than
&lt;big&gt;&lt;big&gt;Self-Determination Theory&lt;/big&gt;&lt;/big&gt;

Here's an example chapter with correct heading casing: [[Motivation and emotion/Book/2019/Growth mindset development|Growth mindset development]]

-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:49, 24 August 2025 (UTC)
|}
&lt;!-- Official topic development feedback --&gt;
{{METF/2025
|1=
&lt;!-- Title --&gt;
# Title and sub-title correctly worded and use [[w:Letter case#Sentence casing|sentence casing]]
# Title and/or sub-title not correctly worded and/or didn't use [[w:Letter case#Sentence casing|sentence casing]] (fixed)
# User name removed from the page; for authorship see [[Special:History/{{PAGENAME}}|the page's edit history]]
|2=
&lt;!-- Headings --&gt;
# See earlier comment about [[#heading casing|heading casing]]
&lt;!-- Heading structure --&gt;
# Promising 2-level heading structure – could benefit from further development and/or refinement
&lt;!-- Alignment with focus questions --&gt;
# Reasonably good alignment between focus questions and heading structure, but aim for closer alignment
&lt;!-- Other ---&gt;
# Remove [[wikit:acronym#Noun|acronym]]s from headings
&lt;!-- GenAI ---&gt;
# Are the headings based on [[Motivation and emotion/Assessment/Using generative AI|genAI content]]? If so, this needs to be acknowledged in the edit summaries, otherwise it violates academic integrity.
|3=
&lt;!-- Overview--&gt;
# Excellent – Scenario, image, evocative description of the problem/topic, and focus questions
&lt;!-- GenAI ---&gt;
# Does this section include [[Motivation and emotion/Assessment/Using generative AI|genAI content]]? If so, it needs to be acknowledged as such in the edit summaries, otherwise it violates academic integrity.
&lt;!-- Scenario --&gt;
# A scenario or case study is presented in a feature box with an image at the start of this section
&lt;!-- Description --&gt;
# A clear description of the problem/topic is planned or presented
&lt;!-- Focus questions --&gt;
# Reasonably good alignment between focus questions and heading structure, but consider closer alignment
|4=
&lt;!-- Key points--&gt;
&lt;!-- Overall --&gt;
# Promising development of key points
&lt;!-- Writing style --&gt;
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# Very good use of citations
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# For sections with sub-sections, provide key points for an overview paragraph prior to branching into the sub-headings
&lt;!-- GenAI ---&gt;
# Do these key points include [[Motivation and emotion/Assessment/Using generative AI|genAI content]]? If so, this needs to be acknowledged in the edit summaries, otherwise it violates academic integrity.
&lt;!-- Conclusion --&gt;
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# What might the take-home, practical messages be? (What are the answer(s) to the question(s) in the sub-title and/or focus questions?)
|5=
&lt;!-- Figure --&gt;
# Excellent - Relevant figure(s) presented, captioned, and cited
&lt;!-- Caption --&gt;
# Figure caption(s) provide(s) a clear, appropriately detailed description that is meaningfully connected with the main text
&lt;!-- Cite --&gt;
# Figure(s) are cited at least once in the main text
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&lt;!-- Learning feature --&gt;
&lt;!-- Interwiki links ---&gt;
# Add in-text [[m:Help:Interwiki linking|interwiki links]] for first mention of key terms to [[w:|Wikipedia]] and/or [[Motivation and emotion/Book|book chapters]] (see [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 2]])
&lt;!-- Scenarios/examples/case studies --&gt;
# Consider use of more scenarios/examples/case studies 
&lt;!-- Quiz --&gt;
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&lt;!-- Tables --&gt;
# Promising use of table(s)
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&lt;!-- Overall --&gt;
# Very good
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# Check and correct [https://apastyle.apa.org/instructional-aids/reference-guide.pdf APA referencing style]:
## capitalisation
## [[Help:Wikitext quick reference|italicisation]]
|8=
&lt;!-- Resources --&gt;
&lt;!-- See also --&gt;
# See also
## Excellent
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# External links
## Excellent
## Use [[w:Letter case#Sentence casing|sentence casing]]
|9=
&lt;!-- User page --&gt;
# Used effectively
&lt;!-- Description about self --&gt;
# Excellent description about self provided
&lt;!-- Links to profile(s) --&gt;
# Consider linking to your [https://portfolio.canberra.edu.au/ eportfolio] page and/or any other professional online profile or resume such as [https://www.linkedin.com/ LinkedIn]. This is not required, but it can be useful to interlink your professional networks.
&lt;!-- Link to book chapter --&gt;
# A link to the book chapter is provided
|10=
&lt;!-- Social contribution --&gt;
# Excellent – at least three different types of contributions with direct link(s) to evidence
}}
-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:49, 24 August 2025 (UTC)

&lt;!-- Official book chapter feedback --&gt;
{{MEBF/2025
|1=
&lt;!-- Overall comments... --&gt;
# This is an excellent chapter that successfully uses psychological theory and research to address a practical, real-world phenomenon or problem
&lt;!-- Overall - GenAI --&gt;
#* [[Motivation and emotion/Assessment/Using generative AI|genAI use]] is appropriately acknowledged
&lt;!-- Overall – Citations --&gt;
# Excellent use of academic, peer-reviewed citations to support claims
&lt;!-- Overall – Copyedits --&gt;
# For additional feedback, see the following comments and [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2025%2FCortical_structures_and_motivational_drive&amp;diff=2763251&amp;oldid=2758069 these copyedits]
|2=
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# Well developed
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# Engaging scenario or case study
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# The focus questions are excellent (clear and relevant)
|3=
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&lt;!-- Theory – Breadth --&gt;
# Excellent—key theories are very well explained and applied
&lt;!-- Theory – Builds on --&gt;
# Builds exceptionally well on [[w:|Wikipedia]] articles but not related [[Motivation and emotion/Book|chapters]] by embedding interwiki links for key terms
&lt;!-- Theory – Depth --&gt;
# Insightful depth is provided about key theory(ies)
&lt;!-- Theory – Tables/Figures/Lists --&gt;
# Excellent use of tables, figures, and/or lists to clearly convey key theoretical information
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# More detail about key studies would be ideal
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# Good [[w:Critical thinking|critical thinking]] about relevant research is evident
# [[w:Critical thinking|Critical thinking]] about research could be further evidenced by:
## describing the methodology (e.g., sample, measures) in important studies
## considering the strength of relationships
## acknowledging limitations
## pointing out critiques/counterarguments
## suggesting ''specific'' directions for future research
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&lt;!-- Integration comments... --&gt;
# Very good integration between the most relevant theory(ies) and the best research
# The chapter places more emphasis on theory than on research; strive for an integrated balance
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# Very good summary and conclusion
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## The quality of written expression is excellent
## Use active (e.g., &quot;this chapter explores&quot; or &quot;this chapter explored&quot;) rather than passive voice (e.g., &quot;this chapter will explore&quot; or &quot;this chapter has explored&quot;) [https://apastyle.apa.org/style-grammar-guidelines/grammar/active-passive-voice][https://www.grammarly.com/blog/active-vs-passive-voice/]
&lt;!-- Written expression – Layout --&gt;
# Layout
## The chapter is well structured, with major sections using sub-sections
## Avoid having sections with 1 sub-heading – use 0 or 2+ sub-headings
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# Grammar
## The grammar for some sentences could be improved (e.g., see {{g}} tags); consider using a grammar checking tool, Studiosity, and/or peer feedback
## Check and make [https://www.grammarly.com/blog/comma/ correct use of commas]
## [https://www.grammarly.com/blog/punctuation-capitalization/possessive-apostrophe/ Possessive apostrophes] are not used correctly (e.g., cats vs cat's vs cats')
&lt;!-- Written expression – APA style --&gt;
# APA style
## Use [[w:Serial comma|serial comma]]s[https://www.buzzfeed.com/adamdavis/the-oxford-comma-is-extremely-important-and-everyone-should][https://www.youtube.com/watch?v=gBx8ooDupXY]
&lt;!-- Written expression – Figures --&gt;
## Figures
### Very well captioned
&lt;!-- Written expression – Figures - Citations --&gt;
### Each Figure is referred to at least once within the main text using APA style
&lt;!-- Written expression – Figures - Other --&gt;
### Adjust some image sizes to make them less dominant (decrease size)
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## Tables
### Very well captioned
&lt;!-- Written expression – Tables - Citations --&gt;
### Each Table is referred to at least once within the main text using APA style
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## Citations use excellent [https://apastyle.apa.org/products/publication-manual-7th-edition APA Style (7th ed.)]
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### Check and correct use of italicisation
### Check and correct use of capitalisation[https://apastyle.apa.org/style-grammar-guidelines/capitalization]
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# Excellent use of learning features
&lt;!-- Learning features – Wikipedia embedded links --&gt;
# Excellent use of embedded in-text [[m:Help:Interwiki linking|interwiki links]] to Wikipedia articles
&lt;!-- Learning features – Wikiversity embedded links --&gt;
# Add embedded in-text links to related [[Motivation and emotion/Book|book chapters]]. Embedding in-text links to related book chapters helps to integrate this chapter into the broader book project.
&lt;!-- Learning features – Figures, tables, feature boxes, scenarios --&gt;
# Excellent use of figure(s)
# Very good use of table(s)
# Reasonably good use of feature box(es)
# Good use of scenarios, case studies, or examples
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# Basic use of quiz(zes) and/or reflection question(s)
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# The quiz questions could be more effective as learning prompts by being embedded as single questions within each corresponding section rather than as a set of questions at the end
&lt;!-- Learning features – See also --&gt;
# Excellent use of the [[{{PAGENAME}}#See also|See also]] section
&lt;!-- Learning features – External links --&gt;
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|9=
&lt;!-- Social contribution comments... --&gt;
# ~12 logged, useful, mostly moderate contributions with [[Motivation and emotion/Assessment/Chapter/Summarising social contributions#How to add direct links to contributions|direct links to evidence]]
}}
-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 03:05, 26 October 2025 (UTC)

==AI slop==
{{ping|Jtneill}} I removed the AI image because it’s AI, AI is bad for a laundry list of reasons, and the topic can easily be illustrated by something else. --[[User:Dronebogus|Dronebogus]] ([[User talk:Dronebogus|discuss]] • [[Special:Contributions/Dronebogus|contribs]]) 00:43, 10 April 2026 (UTC)

:Feel free to improve illustrations, but please don't remove images based on your opinion without discussion. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:54, 10 April 2026 (UTC)
::Any image in [[Commons:Category:Victims of addiction]] would be superior. Pick whichever one you think works best [[User:Dronebogus|Dronebogus]] ([[User talk:Dronebogus|discuss]] • [[Special:Contributions/Dronebogus|contribs]]) 01:10, 10 April 2026 (UTC)
:::You are welcome to make constructive edits to improve content on Wikiversity. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 01:16, 10 April 2026 (UTC)
::::I am asking for your opinion. Which one is the best replacement? [[User:Dronebogus|Dronebogus]] ([[User talk:Dronebogus|discuss]] • [[Special:Contributions/Dronebogus|contribs]]) 01:25, 10 April 2026 (UTC)
:::::I am unwilling to investigate a category at the moment because I am reviewing the other images you've removed. If you think there is a better image, feel free to suggest it and I can share my view. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 01:34, 10 April 2026 (UTC)
::::::If you just want to illustrate addiction in general then [[:File:Drug addict.jpg]] is perfectly fine [[User:Dronebogus|Dronebogus]] ([[User talk:Dronebogus|discuss]] • [[Special:Contributions/Dronebogus|contribs]]) 01:35, 10 April 2026 (UTC)
:::::::Great suggestion - I agree -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 02:46, 10 April 2026 (UTC)</text>
      <sha1>a6wzuktrcqxs5wspmskov15p3fs09wz</sha1>
    </revision>
  </page>
  <page>
    <title>Wikiversity talk:Artificial intelligence</title>
    <ns>5</ns>
    <id>324777</id>
    <revision>
      <id>2803993</id>
      <parentid>2802374</parentid>
      <timestamp>2026-04-09T20:08:22Z</timestamp>
      <contributor>
        <username>Lbeaumont</username>
        <id>278565</id>
      </contributor>
      <comment>/* What problem is being addressed? */ Reply</comment>
      <origin>2803993</origin>
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      <text bytes="30219" sha1="ku598115d0enpik86n2brio3uwe7f9k" xml:space="preserve">== My POV ==

*I would remove &quot;The contributor should be an expert on the topic&quot;, because Wikiversity is not about authorities and we are not able to check weather certain person contributing LLM-created text is an expert or not.
*This is not applicable to all situations, when using LLM: &quot;where citations are included.&quot; Sometimes you generate wery short overviews or general things.
[[User:Juandev|Juandev]] ([[User talk:Juandev|discuss]] • [[Special:Contributions/Juandev|contribs]]) 18:41, 16 October 2025 (UTC)
: In my notes, I have a proposal to restrict the use of GenAI even more; it is much more of a threat than an opportunity for the English Wikiversity.
: In the mean time, requiring that a contributor be an expert or at least know what he is writing about is a very good thing, from my perspective. It is not true that we have no way of tentatively determining whether someone is an expert or not: we can ask for self-disclosure and we can test knowledge. And he who does not want to be tested should not be inserting GenAI into mainspace. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 07:44, 3 November 2025 (UTC)
::But the obsession with expertise closes down an open Wikiversity. Nupedia was expert and failed, Wikipedia was open and succeeded. Why should Wikiversity go the way of Nupedia? [[User:Juandev|Juandev]] ([[User talk:Juandev|discuss]] • [[Special:Contributions/Juandev|contribs]]) 16:13, 17 November 2025 (UTC)
::I agree with Juandev here, although in theory the content added by folks on Wikiversity should be coming from a place of expertise, I also understood one of the missions of wikiversity to be a place where expertise can be actively developed through the act of editing by editors. [[User:IanVG|IanVG]] ([[User talk:IanVG|discuss]] • [[Special:Contributions/IanVG|contribs]]) 21:11, 23 March 2026 (UTC)
:I think generative AI should be used as a tool. If you are copying the text word for word, the text might not be correct. If you are interested in a particular topic, feel free to use GenAI, but maybe check the facts before using it and provide the link to the conversation. —[[User:RailwayEnthusiast2025|&lt;span style=&quot;font-family:Verdana; color:#008000; text-shadow:gray 0.2em 0.2em 0.4em;&quot;&gt;RailwayEnthusiast2025&lt;/span&gt;]] &lt;sup&gt;[[User talk:RailwayEnthusiast2025|&lt;span style=&quot;color:#59a53f&quot;&gt;''talk with me!''&lt;/span&gt;]]&lt;/sup&gt; 11:44, 3 November 2025 (UTC)
::In that case, some kind of scale should be introduced that a human editor would use to indicate how much LLM was used. From full text created entirely by a chatbot (which I don't think is a good idea, because it may contain errors in the form of hallucinations and at the same time takes away the authorship from the given LLM). To text proofreading and only minor interventions by artificial intelligence. @[[User:RailwayEnthusiast2025|RailwayEnthusiast2025]] [[User:Juandev|Juandev]] ([[User talk:Juandev|discuss]] • [[Special:Contributions/Juandev|contribs]]) 18:36, 1 February 2026 (UTC)

== A proposed caveat on when they are used ==

If we allow generative AI usage, I think we should require disclosure of what tool was used, when, and which prompt(s) it was given. Understanding not only that it was used but how is crucial, plus, since these tools change rapidly, knowing the time/date is also key for understanding what it was likely processing and how when it generated the output. —[[User:Koavf|Justin (&lt;span style=&quot;color:grey&quot;&gt;ko'''a'''vf&lt;/span&gt;)]]&lt;span style=&quot;color:red&quot;&gt;❤[[User talk:Koavf|T]]☮[[Special:Contributions/Koavf|C]]☺[[Special:Emailuser/Koavf|M]]☯&lt;/span&gt; 22:47, 8 November 2025 (UTC)

:Thats a good point. [[User:Juandev|Juandev]] ([[User talk:Juandev|discuss]] • [[Special:Contributions/Juandev|contribs]]) 16:14, 17 November 2025 (UTC)
:I agree that knowing how users are using AI may be a good data for Wikiversity community to learn how AI is used, but I would not overcomplicate the policy. So what about to start this with optional values for {{tl|AI-generated}} tempate? [[User:Juandev|Juandev]] ([[User talk:Juandev|discuss]] • [[Special:Contributions/Juandev|contribs]]) 08:41, 23 February 2026 (UTC)

== Different uses of AI ==

I am just pointing out that AI is not just used to generate text, which could be copy paste to Wikiversity. One may use AI to improve their grammar (for example with the use of Grammarly), other one may use GPT to create wiki tabs from CSV. So if the proposed policy is using wide title Artifical inteligence, I would consider all use cases and decide how to deal with them. [[User:Juandev|Juandev]] ([[User talk:Juandev|discuss]] • [[Special:Contributions/Juandev|contribs]]) 14:38, 22 November 2025 (UTC)

== [[Wikiversity:Colloquium#Template:AI-generated]] ==

Discussion on indication of a resource being AI-generated. —[[User:Atcovi|Atcovi]] [[User talk:Atcovi|(Talk]] - [[Special:Contributions/Atcovi|Contribs)]] 15:55, 26 January 2026 (UTC)

== Confirm AI use is okay ==

Before I continue adding to the the Law School 101 course I started, I want to make sure that it's consistent with the AI policy. I'm seeing some conflicting opinions here that may not be as nuanced as they should be. 

I would not have decided to share the Law School 101 course from an LLM if I didn't feel it was uber good, completely missing in public access, and sorely needed to be available to the public.

I am 100% ok with having an AI disclaimer on the front page of the course, but I'm not going to go and add it to each page with the prompt on each page. That's stupid. Some prompts were &quot;Next class&quot;.

If I went through the course, I'm an expert on the topic of the course. Seriously, though, expertise is an extremely stretchable concept that cannot be used as a whip to disqualify great courses. A person may have had years of education, high IQ, for example. And the topic itself may be at the level of general knowledge where the value of expertise on the topic may much less relevant to the quality of material that the course creator sees in the content. 

And we're moving away from an era when LLMs were producing errors. Of course, all content from an LLM must be vetted, and of course expert opinions on class content are welcome, but to preclude excellent course content from being made public would detract from the mission of Wikiversity.  [[User:Berkeleywho|Berkeleywho]] ([[User talk:Berkeleywho|discuss]] • [[Special:Contributions/Berkeleywho|contribs]]) 07:11, 17 February 2026 (UTC)

== Evolving a Wikiversity policy on AI ==

=== Adapting to New Technologies ===
I am old enough to have obtained my BSEE degree in 1972, before the general availability of pocket electronic calculators. I laboriously used a slide rule and pencil and paper for those hundreds of calculations. Since then, I have witnessed the introduction of pocket calculators, scientific calculators, cassette recorders, video recorders, CDs, DVDs, personal computers, spreadsheets, word processors, spell checkers, online dictionaries and thesauruses, cell phones, GPS, the Internet, search engines, grammar checkers, Nanny cams, cloud storage, Napster, streaming, smart phones, Wolfram Alpha, homework assistants, tablets, Wikimedia projects, MOOCs, videoconferencing, Crypto currency, and most recently AI large language models.

Each of these technologies has required us to adapt. We had to be clear about our needs and goals. These goals might include learning, teaching, getting the right answer, efficiency, profit, ease of use, entertainment, sharing, collaboration, safety, intellectual property rights, and no doubt other concerns. 

Technology is inherently morally neutral. A hammer can be used to build a house or to bludgeon someone. How we decide to use technology is our choice, not the destiny of the technology. 

=== Guiding Principles and Lessons Learned ===
It is wise to avoid overreacting or underreacting. 

It is wise to avoid “[[wikipedia:One-drop_rule|one drop rules]]” that indiscriminately, and unnecessarily, prejudice the use of emerging technologies.

It is wise to avoid any form of “[[wikipedia:Satanic_panic|satanic panic]]” that causes unwarranted panic, anxiety, unfounded accusations, and an unfounded search for the guilty. Furthermore, unduly highlighting the use of AI within Wikiversity is a form of [[wikipedia:Ad_hominem|Ad hominem]] attack—attacking the source rather than the argument or resulting text. Doing so pejoratively stains the material, and the authors, with a form of [[wikipedia:The_Scarlet_Letter|scarlet letter]]. 

It is useful to understand and acknowledge the nuances of the many ways that the new technology can be used. Existing LLM’s can be used to:

1)     Proofread copy,

2)     As a thesaurus or to suggest a variety of word choices,

3)     To extend a list of items sharing various characteristics,

4)     To assist in brainstorming, 

5)     To write introductory, summary, or clarifying text.

6)     To suggest alternative wording or rewriting text,

7)     To modify the tone of the text,

8)     To generate a list of questions,

9)     As a research tool to identify likely sources of new information,

10)  To demonstrate the limits and capabilities of the technology, and

11)  in many more ways. 

These are very different uses of the technology, and it is misleading to place them into a single category.

=== Addressing Wikiversity goals. ===
Wikiversity provides “learning resources” freely available to the users. Editors have a responsibility to follow established [[Wikiversity:Policies|Wikiversity Policies]].  

Content [[Wikiversity:Verifiability|must be verifiable]]. While professors have the liberty to profess, ''accurate propositional statements'' typically provide more useful learning resources than do false or misleading propositional statements. As described above, text generated or assisted by an LLM often does not include propositional statements subject to verification. Both people and LLMs sometimes hallucinate (and bloviate) and are otherwise fallible, and therefore what is relevant is the ''accuracy of the propositional statements'', regardless of the source. 

If the editor takes sufficient care and has the expertise to verify the accuracy of the propositional statements made, the origin of those statements is irrelevant, as long as they are properly cited.

Because the source of verified and accurate propositional statements is irrelevant, marking, and especially obtrusive or pejorative marking, of AI generated content is unnecessary. 

Because I recognize that there may be good reasons to collect AI generated materials into a category, I recommend the “AI Generated” template be redesigned to be similar to the “[[:Category:Essays|Essay” category tag]]. This would be a small tag appearing along the right-hand margin of the page. The tag could usefully include a parameter identify the mode of the AI used, as suggested above. 

I hope these ideas are carefully considered as we continue to collaborate in adapting to this new and valuable technology. I also call for a moratorium on defacing existing materials until a consensus policy is adopted. [[User:Lbeaumont|Lbeaumont]] ([[User talk:Lbeaumont|discuss]] • [[Special:Contributions/Lbeaumont|contribs]]) 22:45, 10 March 2026 (UTC)

:Thanks for your ideas. I didn't realize this was a draft policy discussion. In this case, please take a look at this AI-generated and human-vetted course &quot;[[Law School 101]].&quot; It is so superb. I have taken it in its entirety, and I believe it's a top-notch learning resource for every adult. It's also pure joy to go through and sets the bar high.
:And I don't see anything online that would accomplish something remotely similar. 95% of undergraduates graduate having no clue what Law is all about, all while it affects every facet of our lives every day. 
:I think this should be a class in colleges, and the Intro part should even be offered in high schools (imagine the thrill of going through the entire one year of law school in ten classes?). I think it's the biggest, sorest gap in core education these days, and it's unclear why the legal professionals are MIA and not scrambling to fill this screaming void.
:Specifically regarding AI use - this debate must not be out of context. And the context is that access to education must not be stifled and veiled behind arbitrary exclusionary barriers.  [[User:Berkeleywho|Berkeleywho]] ([[User talk:Berkeleywho|discuss]] • [[Special:Contributions/Berkeleywho|contribs]]) 10:19, 12 March 2026 (UTC)
::I just note that this policy draft is not against AI generated content @[[User:Berkeleywho|Berkeleywho]]. Thats why nobode disputed your previous post and your reflection was build in to the proposal. [[User:Juandev|Juandev]] ([[User talk:Juandev|discuss]] • [[Special:Contributions/Juandev|contribs]]) 10:52, 12 March 2026 (UTC)
:::Cool. I understand this is an extremely complex topic on many levels.  [[User:Berkeleywho|Berkeleywho]] ([[User talk:Berkeleywho|discuss]] • [[Special:Contributions/Berkeleywho|contribs]]) 10:56, 12 March 2026 (UTC)
:You said &quot;If the editor takes sufficient care&quot;. But some editors does not take sufficient care. Some editor say its not a policy I dont mind. Thats why this policy is proposed that everbody do that and co-create quality resource on Wikiversity.
:You talk about some embarrassment that a source is marked as LLM-generated, but this rule requires you to mark it yourself and if you don't mark it, we can only suggest it to you. So why rebel against such a practice? [[User:Juandev|Juandev]] ([[User talk:Juandev|discuss]] • [[Special:Contributions/Juandev|contribs]]) 10:50, 12 March 2026 (UTC)

== Toward a Justified and Parsimonious AI Policy ==

As we collaborate to develop a consensus policy on the use of Large Language Models, it is wise to begin by considering the needs of the various stakeholders to the policy.

The stakeholders are:

# The users,
# The source providers, and
# The editors

There may also be others with a minor stake in this policy, including the population at large.

The many needs of the users are currently addressed by long-standing [[Wikiversity:Policies|Wikiversity policies]], so we can focus on what, if any, additional needs arise as LLMs are deployed. 

As always, users need assurance that propositional statements are accurate. This is covered by the existing policy on [[Wikiversity:Verifiability|verifiably]]. In addition, it is expected by both the users and those that provide materials used as sources for the text are [[Wikiversity:Cite sources|accurately attributed]]. This is also covered by [[Wikiversity:Cite sources|existing policies]].

To respect the time and effort of editors, a parsimonious policy will unburden editors from costly requirements that exceed benefits to the users.

Finally, it is important to recognize that because attention is our most valuable seizing attention unnecessarily is a form of theft. 

The following proposed policy statement results from these considerations:

=== Recommended Policy statement: ===

* Editors [[Wikiversity:Verifiability|verify the accuracy]] of propositional statements, regardless of the source.
* Editors [[Wikiversity:Cite sources|attribute the source]] of propositional statements. In the case of LLM, cite the LLM model and the prompt used.
* Use of various available templates to mark the use of LLM are optional. Templates that are flexible in noting the type and extend of LLM usage are preferred. Templates that avoid unduly distracting or alarming the user are preferred.

[[User:Lbeaumont|Lbeaumont]] ([[User talk:Lbeaumont|discuss]] • [[Special:Contributions/Lbeaumont|contribs]]) 19:58, 19 March 2026 (UTC)

:Just note, that [[Wikiversity:Cite sources]] is not a policy. You can read it on the top of the page, its a ''proposed policy''. [[User:Juandev|Juandev]] ([[User talk:Juandev|discuss]] • [[Special:Contributions/Juandev|contribs]]) 21:28, 19 March 2026 (UTC)
:I would say, that the actual text is better then your first two proposed statements, because:
:#Your proposal is less clear to me, so it might be less clear to others - we need policies which are easy to understand. For example, the course structure generated in LLM is not, in my opinion, a ''propositional statement'', but the rule should still cover such a case.
:#Your proposal is missing the option, when references are outputed by the LLM
:Templates that indicate AI-generated content should be mandatory, as they allow you to create statistics about AI-generated content. This is good for creating tools or other policies that work with AI-generated content, for example. It is also useful for patrolling users to be able to return to AI-assisted pages when checking. 
:Another thing is that you don't specify which specific templates to use. If you don't specify, everyone will use whatever templates they want and it will lead to chaos. Moreover, who is to determine that the templates are ''not unduly distracting or alarming''? As I wrote above, Wikiversity's policy should be clear. [[User:Juandev|Juandev]] ([[User talk:Juandev|discuss]] • [[Special:Contributions/Juandev|contribs]]) 21:56, 19 March 2026 (UTC)

== Publicly available link - risk of link-rot? ==

Is there a risk that the statement:

''&lt;big&gt;The origin of the text must be clearly indicated in the edit summary and ideally include a publicly available link to the chatbot conversation&lt;/big&gt;''

may be problematic in the future if the links go bad (see [[wikipedia:Link_rot|link rot]])? Does the internet archive regularly comb the link of chatbot conversations? [[User:IanVG|IanVG]] ([[User talk:IanVG|discuss]] • [[Special:Contributions/IanVG|contribs]]) 21:19, 23 March 2026 (UTC)

:@[[User:IanVG|IanVG]] There may well be link rot over time but linking to the conversation is still better than not linking so that contributions and their sources are reviewable at least until the link does rot -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 11:48, 24 March 2026 (UTC)

== Mandatory link to chatbot conversation? ==


I'm not sure I'm a fan of (in bold) from the first acceptability requirement that states:&lt;blockquote&gt;The origin of the text must be clearly indicated in the edit summary and '''ideally include''' a publicly available link to the chatbot conversation&lt;/blockquote&gt;Why isn't the requirement strict? Why don't we make the link to the chat mandatory? [[User:IanVG|IanVG]] ([[User talk:IanVG|discuss]] • [[Special:Contributions/IanVG|contribs]]) 21:24, 23 March 2026 (UTC)

:@[[User:IanVG|IanVG]] linking to the chat could be made mandatory (and would be better scholarship) but not all LLMs provide a way to publicly link to chats, so such a policy would restrict what AI tools could be used -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 11:45, 24 March 2026 (UTC)
:Lets keep it simple. Do we really need that link. Patrole is not able to controll all recent changes, who will be patrolling this? I would '''leave it as it is or on request'''. [[User:Juandev|Juandev]] ([[User talk:Juandev|discuss]] • [[Special:Contributions/Juandev|contribs]]) 09:37, 25 March 2026 (UTC)

== Superseding the first policy proposal ==

Because the first policy proposal would distract users without due cause;

Because the first policy proposal would burden editors without due cause;

Because the first policy proposal includes elements that are arbitrarily chosen and not derived from stakeholder benefits;

Because great designs are as simple as possible and no simpler;

Because the first policy proposal has failed to attract proponents;

Because the stated objections to the second policy proposal are based on unsound arguments, [[wikipedia:Straw_man|straw men]], speculation, and [[wikipedia:Ad_hominem|ad hominem]] attacks;

I have superseded the first policy proposal text with the second policy proposal text. [[User:Lbeaumont|Lbeaumont]] ([[User talk:Lbeaumont|discuss]] • [[Special:Contributions/Lbeaumont|contribs]]) 18:07, 26 March 2026 (UTC)

:Because we are in the process of improving the proposed policy through consensus, I suggest reverting these wholesale changes and working to iteratively improve it. You have strong opinions and some useful ideas; your input is valued. I appreciate [[Wikiversity:Be bold|being bold]], but community consensus is more likely to be achieved through gradual, collaborative iteration. Alternatively, consider forking the proposal and then the community can evolve two versions and then decide on the preferred approach. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 10:09, 27 March 2026 (UTC)
::Thanks for these comments and your moderating voice. How do I “fork the proposal”? I would like to present alternative policy text with equal visibility to the legacy policy proposal text so that there can be an informed and skillful dialogue leading toward a strong consensus.   [[User:Lbeaumont|Lbeaumont]] ([[User talk:Lbeaumont|discuss]] • [[Special:Contributions/Lbeaumont|contribs]]) 11:27, 28 March 2026 (UTC)
:::To &quot;fork&quot;, create a target page e.g., [[Wikiversity:Artificial intelligence 2]] e.g., by:
:::# Manual fork (copy and paste) - but loses edit history
:::# Export/import fork (use [[Special:Export]] and [[Wikiversity:Import]] to copy an original page and retain its edit history) - needs admin rights for import
:::# Or create an alternative policy proposal by starting from scratch
:::See also [[Wikiversity:Productive forking and tailoring is encouraged]] -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 01:23, 29 March 2026 (UTC)
:None of these rationales are based on evidence and/or just completely false (ex, &quot;the first policy proposal has failed to attract proponents&quot; when multiple people have supported the policy as is on the Colloquium). I've removed your edit and I ask you not to do that again. —[[User:Atcovi|Atcovi]] [[User talk:Atcovi|(Talk]] - [[Special:Contributions/Atcovi|Contribs)]] 12:03, 27 March 2026 (UTC)
::You are obviously passionate about this issue, and we have differing points of view. Perhaps we can [[Transcending Conflict|transcend conflict]] and find [[Finding Common Ground|common ground]]. I suggest you develop a [[Creating Wikiversity Courses|Wikiversity course]] called something like “Uses and Abuses of Artificial Intelligence.” This will provide all of us with a well-considered basis for developing a policy.  [[User:Lbeaumont|Lbeaumont]] ([[User talk:Lbeaumont|discuss]] • [[Special:Contributions/Lbeaumont|contribs]]) 19:20, 27 March 2026 (UTC)
:::Common ground sounds great. I've edited the current (original) draft a little to emphasise adoption of good scholarly practice (e.g., transparency) above specific requirements but also softened the requirement for the AI template to be displayed only for pages with a significant amount of AI-generated material. Hopefully this helps at least somewhat to address some of Lee's concerns. Sincerely, James -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 10:54, 28 March 2026 (UTC)

== The Single Mandated Template Needs to Become More Flexible ==

The presently proposed policy mandates the use of a single AI-Generated template for a wide range of AI uses. The scope of the policy identifies a broad range of AI usage, from grammar checkers to generation of extensive text passages. These various uses bear little or no similarity from the user’s perspective. More flexibility, more subtlety, more nuance is needed. I recommend adding parameters to the single mandated template to identify the nature of the AI usage, or providing a family of templates that editors can choose from to more accurately communicate the variety of AI used.  [[User:Lbeaumont|Lbeaumont]] ([[User talk:Lbeaumont|discuss]] • [[Special:Contributions/Lbeaumont|contribs]]) 12:54, 1 April 2026 (UTC)

:I think it would be better to have one template with parameters. As I previously mentioned more templates would create more mess from my perspective. [[User:Juandev|Juandev]] ([[User talk:Juandev|discuss]] • [[Special:Contributions/Juandev|contribs]]) 18:11, 1 April 2026 (UTC)
:Yes, template parameters could work well. One parameter could allow a text note to explain how gen-AI was used. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:52, 2 April 2026 (UTC)

== Undue Attention and Distraction ==

Attention is our most precious resource, and it must be directed wisely. The presently mandated template places a large banner at the top of each page, as if use of AI is the most important attribute of the learning resource that the user must direct attention to and be concerned with. However, we are acclimating to the use of AI, much as we have acclimated to the use of pocket electronic calculators and the many other innovative technologies that have arisen over the past several decades. The AI notification must become less distracting. I suggest generating a smaller box that appears in the right-had margin like that produced by the ''essay''template. This will better align the attention attracted by the template to the attention it merits.  [[User:Lbeaumont|Lbeaumont]] ([[User talk:Lbeaumont|discuss]] • [[Special:Contributions/Lbeaumont|contribs]]) 12:54, 1 April 2026 (UTC)

== What problem is being addressed? ==

I recommend we be clear and explicit about the problem, real or perceived, that this policy is intended to address. What are the unmet needs of the users? What are the unmet needs of the editors that need to be addressed by such a policy? We can only rationally evaluate alternative polices in the context of know user and editor needs. Until we understand the users’ needs, and the editors’ needs it is premature to propose a policy.  [[User:Lbeaumont|Lbeaumont]] ([[User talk:Lbeaumont|discuss]] • [[Special:Contributions/Lbeaumont|contribs]]) 12:55, 1 April 2026 (UTC)

:'''The basic problem we are solving here is the speed of generating such content.'''
:Qualitatively, texts created with the help of artificial intelligence are equal to texts without the use of AI. There is a range of contributions by quality: high-quality texts, average, and bad ones.
:Methods developed for text control, which were developed on Wikimedia projects, can fail in the case of quickly generated text in that the project will be overwhelmed with such content very quickly that some methods of control will fail and then the quality of the project will decrease.
:That is, we are looking for new solutions to prevent this and one of such solutions is to
:#''remind editors to check the LLM output'',
:#''notify others that the content was created using AI''.
:The control methods used so far are based on creating categories of edits. However, for non-AI contributions categories are recognizable (or can be recognized by a computer program), for AI contributions, I am not aware of a recognition method, so I think it is appropriate for the creator to '''voluntarily report''' AI was used. [[User:Juandev|Juandev]] ([[User talk:Juandev|discuss]] • [[Special:Contributions/Juandev|contribs]]) 18:38, 1 April 2026 (UTC)
::Why is increased production speed a problem?
::There is no strong link between production speed and product quality. Electronic calculators and electronic spreadsheet increase both speed and accuracy. Word processors, spell checkers, grammar checkers, on-line dictionaries and thesauruses also increase speed and accuracy. Large Language Models can be used and abused in a wide variety of ways. Certainly, using a LLM to proofread copy, suggest alternative word choice, suggesting rewrites for an awkward sentence and other uses increase the quality of the final product. 
::Although the basic problem is stated as “speed of generation” perhaps the problem to be addressed is the quality of the resulting text.
::The quality of Wikiversity learning resources depends on many factors including curriculum design, topic choice, pedagogical approach, vocabulary choice, prerequisite assumptions, and of course, the factual accuracy of propositional sentences. LLM use pertains to only a fraction of these considerations. Do we have reliable evidence that when LLM’s are used skillfully they are less accurate than material written by the typical Wikiversity editor? 
::Existing Wikiversity policies address the accuracy of the content contributed. As we propose development of AI-specific policies, we need to be clearer and more accurate regarding the problem we are addressing. We need to be more parsimonious in developing policy to address actual problems.  [[User:Lbeaumont|Lbeaumont]] ([[User talk:Lbeaumont|discuss]] • [[Special:Contributions/Lbeaumont|contribs]]) 20:08, 9 April 2026 (UTC)
:Agree with @[[User:Juandev|Juandev]] that the basic problem to tackle is to have some sort of control/filter over excessive, low-quality gen-AI content being contributed in a way that would diminish rather than enhance the educational value of this project.
:In the first phase, we've just waited to see what happens. And recently there have been some instructive instances of low-quality gen-AI content so that has helped inform our ideas as have the approaches taken by other sister projects.
:I think it is good scholarly practice to inform readers about the genesis of text. Wiki does this typically very well through edit summaries. So, this should ideally be used to communicate and show specific gen-AI chat sources.
:And a gen-AI info box allows pages with significant gen-AI content to be flagged to readers and categorised. 
:Above all, for me, this is about intellectual honesty. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:48, 2 April 2026 (UTC)</text>
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  <page>
    <title>Patriarch Ages Curious Numerical Facts Response</title>
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      <text bytes="83327" sha1="7tqacafhbenm5l6ikaehsaqbb8lhvvn" xml:space="preserve">{{Original research}}
This page evaluates and extends the mathematical insights presented in the 2017 article, ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'' by Paul D. While the original article provides a compelling foundation, this analysis identifies areas where the underlying data and mathematical evidence are more robust than initially presented. The following sections aim to clarify these findings and offer a more precise structural framework.

== Summary of Main Arguments ==
The ages of the patriarchs in Genesis are not intended as historical records, but as a complex symbolic mathematical structure designed by ancient authors. Key points include:

* '''Artificial Mathematical Design:''' Patriarchal ages and event years are based on symbolic or &quot;perfect&quot; numbers (such as 7, 49, and 60) rather than biological or historical reality.
* '''Alignment with Sacred Cycles:''' The chronologies are designed to align significant events—such as the Exodus and the dedication of Solomon’s Temple—with specific &quot;years of the world&quot; (''Anno Mundi''), synchronizing human history with a divine calendar.
* '''The Universal Flood as a Later Insertion:''' Evidence suggests the universal scope of Noah's Flood was a later addition to a patriarchal foundation story. This insertion disrupted the original timelines, forcing recalibrations in the Masoretic Text (MT), Samaritan Pentateuch (SP), and Septuagint (LXX) to avoid chronological contradictions.
* '''Chronological Overlaps:''' In the original numerical framework (prior to recalibration for a universal flood), the mathematical structures resulted in overlaps where certain patriarchs, such as Methuselah, survived beyond the date of the Flood.

= Arichat Yamim =

Most of the patriarchs' lifespans in the Hebrew Bible far exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101).

This phenomenon is difficult to explain, as no known ancient number system features &quot;101&quot; as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle.
 
In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a &quot;perfect&quot; Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows:

*:&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
\frac{7\,\text{šar}}{2} &amp;= 3\,\text{šar}\,\,30\,\text{šūši}  \\ 
&amp;= \left(3 \times 60^2 \, \text{years} \right) + \left(30 \times 60^1 \,\text{years} \right) \\ 
&amp;= 10,800 \, \text{years} + 1,800 \, \text{years} \\
&amp;= 12,600 \, \text{years}
\end{aligned}
&lt;/math&gt;

This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60).

==== Prototype 1: Initial &quot;Mesopotamian&quot; Allocation ====

----

&lt;div style=&quot;background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;&quot;&gt;
The initial &quot;PT1&quot; framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''):

* '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49).
* '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''.
* '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920).
&lt;/div&gt;

----

==== Prototype 2: Refined &quot;Jubilee&quot; Allocation ====

----

&lt;div style=&quot;background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;&quot;&gt;
Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the &quot;Remainder&quot; to each of the two primary groups. This resulted in the &quot;PT2&quot; figures as follows:

* '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees).
* '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees).
* '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949).
&lt;/div&gt;

----

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that result in a patriarch surviving beyond the date of the Flood.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e0f2f1; border-bottom:2px solid #009688;&quot; | PROTOTYPE 1&lt;br/&gt;(PT1)
! colspan=&quot;3&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PROTOTYPE 2&lt;br/&gt;(PT2)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;82 šūši&lt;br/&gt;(4920)&lt;/div&gt;
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;45 šūši&lt;br/&gt;(2700)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;4949&lt;/div&gt;
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2727&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 912

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 905

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 910

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;37 šūši&lt;br/&gt;(2220)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2222&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 895

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 6 (360)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot;  | Methuselah
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;46 šūši&lt;br/&gt;(2760)&lt;/div&gt;
| rowspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;32 šūši&lt;br/&gt;(1920)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2702&lt;/div&gt;
| rowspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1919&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 14 (880)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 14 (840)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam
| rowspan=&quot;18&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;82 šūši&lt;br/&gt;(4920)&lt;/div&gt;
| rowspan=&quot;5&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;40 šūši&lt;br/&gt;(2400)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 16 (960)
| rowspan=&quot;18&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;4949&lt;/div&gt;
| rowspan=&quot;5&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2401&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 930

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 10 (600)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 7 (420)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Cainan (II)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 7 (420)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 433

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Eber
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;25 šūši&lt;br/&gt;(1500)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 8 (480)
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1525&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 464

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 4 (240)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 4 (240)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Serug
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 230

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 148

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Abraham
| rowspan=&quot;7&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;17 šūši&lt;br/&gt;(1020)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| rowspan=&quot;7&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1023&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 175

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Isaac
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jacob
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 147

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Levi
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kohath
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Amram
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 131

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Moses
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 120

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! style=&quot;text-align:left; color:black;&quot; | LIFESPAN&lt;br/&gt;DURATION&lt;br/&gt;SUM
| colspan=&quot;6&quot; | 210 šūši&lt;br/&gt;(12,600 years)
|}

== PT2 as the Base Model for Patriarchal Chronologies ==
The &quot;PT2&quot; chronology serves as the foundational model from which subsequent patriarchal lifespans in various textual traditions were derived. Evidence for this remains visible across nearly all biblical records, as they consistently preserve the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1).

* '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost.
* '''The Masoretic Text (MT):''' This tradition shifted 6 years from the &quot;Remainder&quot; to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block.
* '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši'''''.
* '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence.

The use of rounded Mesopotamian figures in the Armenian Eusebius Chronology suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the Septuagint's divergence indicates a later development—likely in Alexandria—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;

|+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum)
|-
! rowspan=&quot;2&quot; | Patriarch Groups
! rowspan=&quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;2&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;3&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! style=&quot;background-color:#e3f2fd;&quot; | Masoretic&lt;br/&gt;(MT)
! style=&quot;background-color:#e3f2fd;&quot; | Samaritan&lt;br/&gt;(SP)
! style=&quot;background-color:#fff3e0;&quot; | Josephus&lt;br/&gt;(94 AD)
! style=&quot;background-color:#fff3e0;&quot; | Eusebius&lt;br/&gt;(325 AD)
! style=&quot;background-color:#fff3e0;&quot; | Septuagint&lt;br/&gt;(LXX)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth to Enoch&lt;br/&gt;&lt;small&gt;(6 Patriarchs)&lt;/small&gt;
| colspan=&quot;2&quot; style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
| style=&quot;background-color:#f9f9f9;&quot; | 4834&lt;br/&gt;&lt;small&gt;(4949 - 115)&lt;/small&gt;
| colspan=&quot;3&quot; style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
|-

| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah, Lamech, Noah&lt;br/&gt;&lt;small&gt;(The Remainder)&lt;/small&gt;
| style=&quot;font-weight:bold; background-color:#f9f9f9;&quot; | 2702
| style=&quot;background-color:#f9f9f9;&quot; | 2696&lt;br/&gt;&lt;small&gt;(2702 - 6)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2323&lt;br/&gt;&lt;small&gt;(2702 - 379)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2626&lt;br/&gt;&lt;small&gt;(2702 - 76)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2642&lt;br/&gt;&lt;small&gt;(2702 - 60)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2672&lt;br/&gt;&lt;small&gt;(2702 - 30)&lt;/small&gt;
|-

| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam &amp; Shem to Moses&lt;br/&gt;&lt;small&gt;(The &quot;Second Half&quot;)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
| style=&quot;background-color:#f9f9f9;&quot; | 4955&lt;br/&gt;&lt;small&gt;(4949 + 6)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 4834&lt;br/&gt;&lt;small&gt;(4949 - 115)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | —
| style=&quot;background-color:#f9f9f9;&quot; | 5609&lt;br/&gt;&lt;small&gt;(4949 + 660)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 5930&lt;br/&gt;&lt;small&gt;(4949 + 981)&lt;/small&gt;

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:14px;&quot;
! LIFESPAN DURATION SUM
| colspan=&quot;2&quot; | 12,600
| 11,991
| —
| 13,200
| 13,551
|}
&lt;small&gt;* '''Dash (—)''' indicates where primary sources do not provide complete death data.&lt;/small&gt;

== Comparative Chronology Tables ==

The following table reconstructs lifespan values across multiple chronological traditions. While most values are derived directly from the primary source texts listed in the header, the '''Armenian Eusebius''' chronology does not explicitly record the lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that result in a patriarch surviving beyond the date of the Flood.
* &lt;span style=&quot;color:#333333;&quot;&gt;'''Blank Cells'''&lt;/span&gt; indicate where primary sources do not provide specific lifespan or death data.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! rowspan = &quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;1&quot; rowspan = &quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;2&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;3&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 912

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 905

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 910

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 895

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962
| 847
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969
| 720
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;6&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 777
| 653
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 707
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 723
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 753

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 930

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600
| rowspan=&quot;9&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438
| 538
| 535

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Cainan (II)
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —
| —
| 460

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 433
| 536
| 460

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Eber
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 464
| 404
| 567
| colspan=&quot;2&quot; | 404

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239
| colspan=&quot;2&quot; | 339

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239
| 342
| 339

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Serug
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 230
| colspan=&quot;2&quot; | 330

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 148
| 198
| 304

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205
| 145
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Abraham
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 175

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Isaac
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180
| 185
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jacob
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 147

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Levi
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137
| rowspan=&quot;3&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kohath
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Amram
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 131
| 137
| 136
| colspan=&quot;2&quot; | 132

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Moses
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 120

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! style=&quot;text-align:left; color:black;&quot; | LIFESPAN&lt;br/&gt;DURATION&lt;br/&gt;SUM
| colspan=&quot;2&quot; | 12,600
| colspan=&quot;1&quot; | 11,991
| —
| colspan=&quot;1&quot; | 13,200
| colspan=&quot;1&quot; | 13,551
|}

=== Samaritan Adjustments ===
Four of the pre-flood patriarchs—Jared, Methuselah, Lamech, and Noah—are credited with exceptionally long lives late in the chronology, which creates a potential overlap where these four patriarchs appear to survive Noah's flood. As shown in the above table, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. Other traditions do not employ this specific reduction, but all must address the issue of flood survival, as explained in later sections.

The required reduction in Jared's lifespan was '''115 years'''. Interestingly, as noted in the previous section, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the &quot;Group 1&quot; and &quot;Group 2&quot; patriarchs.

Specifically, this balance was achieved through the following adjustments:
* '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each).
* '''Amram's''' lifespan was increased by five years.

This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing.

=== Masoretic Adjustments ===

In the 2017 article, &quot;[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs],&quot; Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition:

&lt;blockquote&gt;&quot;The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)&quot;&lt;/blockquote&gt;

While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late &quot;tweak&quot; in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges:

&lt;blockquote&gt;&quot;Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above.&quot;&lt;/blockquote&gt;

==== ''Lectio Difficilior Potior'' ====
The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the &quot;harder reading is stronger&quot;) suggests that scribes tend to simplify or &quot;smooth&quot; texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life.

In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges:

* '''Year 500 (of Noah):''' Shem is born.
* '''Year 600 (of Noah):''' The Flood occurs.
* '''Year 700 (of Noah):''' Lamech dies.

This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a &quot;compressed chronology&quot; (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (53, 653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''183 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate &quot;balancing&quot; of total chronological years.

=== Armenian Eusebius Adjustments ===
Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 220 ''šūši'' (or 10 ''šūši'' more than the Masoretic Text). Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system.

Specifically, the following adjustments appear to have occurred for Group 2 patriarchs:
* '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years.
* '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years.
* '''Nahor''' had his lifespan increased by 50 years.
* '''Amram''' had his lifespan increased by 1 year.

The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''.

= It All Started With Grain =

[[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]]

The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the [https://www.biblicalarchaeology.org/daily/news/ancient-bread-jordan/ Black Desert of Jordan]. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops.

The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the &quot;firstfruits of your harvest&quot; (referring to barley) before the Lord:

&lt;blockquote&gt;&quot;then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord&quot;&lt;/blockquote&gt;

To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues:

&lt;blockquote&gt;&quot;And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord.&quot;&lt;/blockquote&gt;

[[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]]

These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the &quot;better things&quot; and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.

This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: 

&lt;blockquote&gt;&quot;And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye &lt;small&gt;(likely emmer wheat or spelt)&lt;/small&gt; were not smitten: for they were not grown up.&quot;&lt;/blockquote&gt;

This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. 

The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest).

=== The Mathematical Structure of Jubilees ===

The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of &quot;weeks&quot;:

* '''Week of Years:''' 7&lt;sup&gt;1&lt;/sup&gt; = 7 years
* '''Jubilee of Years:''' 7&lt;sup&gt;2&lt;/sup&gt; = 49 years
* '''Week of Jubilees:''' 7&lt;sup&gt;3&lt;/sup&gt; = 343 years
* '''Jubilee of Jubilees:''' 7&lt;sup&gt;4&lt;/sup&gt; = 2,401 years

The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land.

[[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]]

The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested &quot;Jubilee of Jubilees&quot; (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle.

* The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year.
* The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years.
* The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid.
* The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs.

== The Birth of Shem (A Digression) ==
Were Noah's sons born when Noah was 500 or 502?

==== The 502 Calculation ====
While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that &quot;Noah was 500 years old, and Noah begat Shem, Ham, and Japheth,&quot; this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: 
# Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). 
# Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10])

'''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples.

==== Competing Narratives ====
According to the Book of Jubilees 4:33, Shem was the oldest son, born in Noah's 500&lt;sup&gt;th&lt;/sup&gt; year, followed by Ham in the 502&lt;sup&gt;nd&lt;/sup&gt; year, and Japheth in the 505&lt;sup&gt;th&lt;/sup&gt;. This seems to be in contradiction with the Genesis narrative which places Shem as the second son in year 502.

==== ''Lectio Difficilior Potior'' ====

The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the harder reading is stronger) suggests that scribes tend to simplify or &quot;smooth&quot; texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life.

In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28%7Cversion=SPE Lamech’s 53rd year]. If we combine that with the 500-year figure for Noah's age at the birth of his sons and the [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB Septuagint figure of 753] for Lamech's death, a suspiciously neat pattern emerges:

* '''Year 500 (of Noah):''' Shem is born.
* '''Year 600 (of Noah):''' The Flood occurs.
* '''Year 700 (of Noah):''' Lamech dies.

This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a &quot;compressed chronology&quot; (500–600–700) is a hallmark of editorial smoothing—likely values adjusted during the introduction of the universal flood narrative to create a more &quot;perfect&quot; structure.

Applying ''Lectio Difficilior'', we can reasonably set aside the figures 53, 500, and 753 as being &quot;too structured to be true,&quot; shifting our focus to less symmetrical values such as '''502''' for Shem's birth.

== The Mathematical relationship between 40 and 49 ==

As noted previously, the ''Jubilees'' author envisions early Hebraic history within a &quot;Jubilee of Jubilees&quot; fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows:

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 (7-3)(7+3) &amp;=  7^2 - 3^2 \\
 &amp;= 49 - 9 \\
 &amp;= 40
\end{aligned}
&lt;/math&gt;

The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40.

[[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] 

Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years):

[[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]]

&lt;div style=&quot;line-height: 1.5;&quot;&gt;
* '''Book of Jubilees (Adam to Canaan)'''
** Pre-Flood Patriarch years:
*:&lt;math display=&quot;block&quot;&gt;\frac{7^4 - 1}{2} + 3^2 = 1200 + 9 = 1209&lt;/math&gt;
** Post-Flood Patriarch years:
*:&lt;math display=&quot;block&quot;&gt;\frac{7^4 + 1}{2} + (7^2 - 3^2) = 1201 + 40 = 1241&lt;/math&gt;
** Total Years:
*:&lt;math display=&quot;block&quot;&gt;7^4 + 7^2 = 2401 + 49 = 2450&lt;/math&gt;
&lt;/div&gt;

== The Samaritan Pentateuch Connection ==
Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition.

[[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]]

=== Determining Chronological Priority ===
A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem is born in year 1207 (reconstructed as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 &quot;Jubilee of Jubilees.&quot;

This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's &quot;pivot&quot; position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment.

=== The 350-Year Symmetrical Extension ===
Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a &quot;week of Jubilees&quot; (343 years) plus a &quot;week of years&quot; (7 years).

&lt;div style=&quot;line-height: 1.5;&quot;&gt;
* '''Book of Jubilees (Adam to Canaan):'''
:&lt;math display=&quot;block&quot;&gt;7^4 + 7^2 = 2401 + 49 = 2450 \text{ years}&lt;/math&gt;

* '''Samaritan Pentateuch (Adam to Conquest):'''
:&lt;math display=&quot;block&quot;&gt;\begin{aligned} \text{(Base 49): } &amp; 7^4 + 7^3 + 7^2 + 7^1 = 2401 + 343 + 49 + 7 = 2800 \\ \text{(Base 40): } &amp; 70 \times 40 = 2800 \end{aligned}&lt;/math&gt;
&lt;/div&gt;

=== Mathematical Structure of the Early Samaritan Chronology ===
To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each):

* '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''.
* '''The second cluster''' represents a second millennium.
* '''The final set''' contains 20 blocks (4x5), representing '''800 years'''.

Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record.


[[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]]

== Living in the Rough ==

[[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]]

As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a &quot;generation&quot;) are less clear, but the number is consistently associated with &quot;living in the rough&quot;—periods of trial, transition, or exile away from the comforts of civilization. 

Examples of this pattern include:
* '''Noah''' lived within the ark for 40 days while the rain fell; 
* '''Israel''' wandered in the wilderness for 40 years; 
* '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. 

Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era.

Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the &quot;civilized&quot; city.

In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means &quot;supplanter&quot;—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a &quot;skillful hunter&quot; and a &quot;man of the field,&quot; while Jacob is &quot;dwelling in tents&quot; and cooking &quot;lentil stew.&quot;

The text draws a clear parallel between these two sets of brothers:
* In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. 
* In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this &quot;clever&quot; intervention, Jacob successfully secures the favor that Cain could not.

Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. 

This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the &quot;rough&quot; of the wilderness.

Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three &quot;generations&quot; (3 x 40).

The relationship between these two &quot;three-fold&quot; lifespans can be expressed by the same nine-year offset identified in the Shem chronology:

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 49 - 9 &amp;= 40 \\
 3(49 - 9) &amp;= 3(40) \\
 147 - 27 &amp;= 120
\end{aligned}
&lt;/math&gt;

[[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] 

Samaritan tradition maintains a unique cultural link to the &quot;pastoralist&quot; ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the &quot;grain-based&quot; agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to &quot;wilderness living,&quot; the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit.

=== A narrative foil for Joshua ===
As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a &quot;foil&quot; for Jacob: Moses lived exactly three &quot;generations&quot; (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization.

This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding &quot;foil&quot; to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam?

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 49 - 9 &amp;= 40 \\
 70(49 - 9) &amp;= 70(40) \\
 3,430 - 630 &amp;= 2,800
\end{aligned}
&lt;/math&gt;

Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific &quot;foil&quot; to Joshua existed in the original architect's mind.

The Samaritans do maintain a continuous, running calendar. However, this system uses a &quot;Conquest Era&quot; epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. For instance, at that time, the [[w:Hyksos|Hyksos]] were only beginning to establish control over Lower Egypt. Furthermore, the [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC.

There is, however, one more possibility to consider: what if the &quot;irreconcilable&quot; nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent &quot;foil&quot; event occurred exactly 3,430 years after Creation? 

As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare &quot;smoking gun&quot; for the artificial design of the chronology.

=== A Mystery Solved ===
In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest.

The significant milestones in this timeline include:
* '''Year 1''': &quot;This year the world and Adam were created.&quot; 
* '''Year 2801''': &quot;The first year of Israel's rule in the land of Canaan.&quot; 
* '''Year 3423''': &quot;The commencement of the kingdom of Solomon.&quot;

According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological &quot;anchor&quot; was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself.

In Creation Year 2800—marking exactly 70 &quot;generations&quot; of 40 years—God entered Canaan in a tent, embodying the &quot;living rough&quot; wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 &quot;Jubilees&quot; of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70&lt;sup&gt;th&lt;/sup&gt; generation to the 70&lt;sup&gt;th&lt;/sup&gt; Jubilee:

:&lt;math&gt;70 \times 40 + (70 \times 9) = 70 \times 49&lt;/math&gt;

=== Mathematical Structure of the Later Samaritan Chronology ===
The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years:

* '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation.
* '''The second cluster''' spans years '''3,000 to 4,000''' after Creation.
* '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation.

The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year &quot;Tabernacle&quot; era''', which is composed of:
* The 40 years of wandering in the wilderness;
* The 6 years of the initial conquest;
* The 630 years between the conquest and the completion of Solomon’s Temple.

Following the '''676-year &quot;Tabernacle&quot; era''' is a '''400-year &quot;First Temple&quot; era''' and a '''70-year &quot;Exile&quot; era''' as detailed in the historical breakdown below.

[[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]]

The Book of Daniel states: &quot;In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it&quot; (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''.

The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure.

High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. 

Using this synchronization, other significant milestones are mapped as follows:
* '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''.
* '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''.
* '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''.

High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year &quot;Second Temple Persian Era&quot; (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. 

The remainder of the diagram represents a 300-year &quot;Second Temple Hellenistic Era,&quot; which concludes in '''Creation Year 4400''' (30 BC).

=== Competing Temples ===
There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year &quot;Second Temple Persian Era&quot; (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework.

According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple:

&lt;blockquote&gt;&quot;But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel&quot; (Ezra 4:3).&lt;/blockquote&gt;

After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population.

[[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]]

This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC.

= The Rise of Zadok =
The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years:

* '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation.
* '''The second cluster''' spans years '''3,000 to 4,000''' after Creation.
* '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation.

The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section.  Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness.  To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event.

[[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]]

The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000.

= Hellenized Jews =
Hellenized Jews were
ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint.
= Start TBD =

= End TBD =

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that could result in patriarchs surviving beyond the date of the Flood.
* &lt;span style=&quot;color:#333333;&quot;&gt;'''Blank Cells'''&lt;/span&gt; indicate where primary sources do not provide specific lifespan or death data.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;&quot;
|+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son)

|-
! rowspan=&quot;2&quot; colspan=&quot;1&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Adam
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 130
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 230

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Seth
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 105
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 205

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 90
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 190

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 70
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 170

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 66
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | 65
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 165

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 61
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 162
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 62
| colspan=&quot;6&quot; style=&quot;background-color:#f9f9f9;&quot; | 162

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 65
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 165

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 65
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 187
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 67
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 167 / 187
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 167
| colspan=&quot;2&quot; style=&quot;background-color:#f9f9f9;&quot; | 187

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 55
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 182
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 53
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 182 / 188
| colspan=&quot;5&quot; style=&quot;background-color:#f9f9f9;&quot; | 188

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;9&quot; style=&quot;background-color:#e8e8e8;&quot; | 500 .. 502

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot; style=&quot;text-align:left; color:black;&quot; | Pre-Flood TOTAL
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 1556
| colspan=&quot;1&quot; | 1209
| colspan=&quot;3&quot; | Varied
| colspan=&quot;1&quot; | 2142
| colspan=&quot;1&quot; | 2162
| colspan=&quot;1&quot; | 2164
|}

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;&quot;

|+ Comparison of Post-Flood Chronological Traditions (Age at birth of son)
|-
! colspan=&quot;1&quot; rowspan=&quot;2&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot;  style=&quot;text-align:left; color:black;&quot; | Pre-Flood
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 1556
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 2164
| colspan=&quot;1&quot; | 2162
| colspan=&quot;1&quot; | 2142
| colspan=&quot;3&quot; | Varied

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 100
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 112

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Arphaxad
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 66
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 35
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 135

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Cainan II
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 57
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 130
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 130
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 71
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Eber
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 64
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 34
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 134

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 61
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 59
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 32
| colspan=&quot;5&quot; style=&quot;background-color:#e8e8e8;&quot; | 132
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 135
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Serug	
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 57
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 130
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 132

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 62
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 29
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 79
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 75
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 79 / 179
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 79
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 120

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;9&quot; style=&quot;background-color:#e8e8e8;&quot; | 70

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Abram
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 78
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 75

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Canaan
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 218
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 215

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Egypt
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 238
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 430
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 215
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 430
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 215
|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Sinai +/-
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 40
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | -
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 46
| colspan=&quot;4&quot; style=&quot;background-color:#e8e8e8;&quot; | 40

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot; style=&quot;text-align:left; color:black;&quot; | GRAND TOTAL
| colspan=&quot;1&quot; | 2450
| colspan=&quot;1&quot; | 2666
| colspan=&quot;1&quot; | 2800
| colspan=&quot;1&quot; | 3885
| colspan=&quot;1&quot; | 3754
| colspan=&quot;1&quot; | 3938
| colspan=&quot;3&quot; | Varied
|}

== The Septuagint Chronology ==

While the chronologies of the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' are anchored in Levant-based agricultural cycles and the symbolic interplay of the numbers 40 and 49, the Septuagint (LXX) appears to have been structured around a different set of priorities. Specifically, the LXX's chronological framework seems designed to resolve a significant textual difficulty: the mathematical anomaly of patriarchs potentially outliving the Flood. In the 2017 article, ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', author Paul D. makes the following statement regarding the Septuagint:

&lt;blockquote&gt;“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”&lt;/blockquote&gt;

While Paul D.’s &quot;Whoops Theory&quot; suggests the LXX editor intended to &quot;fix&quot; the timeline but failed in the case of Methuselah, this interpretation potentially overlooks the systemic nature of the changes. If an editor is methodical enough to systematically alter multiple generations by exactly one hundred years, a single &quot;failure&quot; to fix Methuselah could suggest the avoidance of a post-Flood death was not the primary objective.

Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': 

&lt;blockquote&gt;&quot;Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years.&quot;&lt;/blockquote&gt; 

This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development.

=== Demetrius the Chronographer ===
Demetrius the Chronographer, writing as early as the late 3rd century BC (c. 221 BC), represents the earliest known witness to biblical chronological calculations. While only fragments of his work remain, they are significant; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. This presumably places the birth of Shem at 2,164 years—exactly one hundred years before the Flood—aligning his data with the &quot;Long Chronology&quot; of the Septuagint.

In the comment section of the original article, in response to evidence regarding this longer tradition (provided by commenter Roger Quill), Paul D. reaffirms his &quot;Whoops Theory&quot; by challenging the validity of various witnesses to the 187-year begettal age of Methuselah. In this view, Codex Alexandrinus is seen as the lone legitimate witness, while others are discounted: 

* '''Josephus:''' Characterized as dependent on the Masoretic tradition.
* '''Pseudo-Philo:''' Dismissed due to textual corruption (&quot;a real mess&quot;).
* '''Julius Africanus:''' Questioned because his records survive only through the later intermediary, Syncellus.
* '''Demetrius:''' Rejected as a witness because his chronology contains an additional 22 years (rather than the typical 20-year variance) whose precise placement remains unknown.

The claim that Julius Africanus is invalidated due to his survival through an intermediary, or that Demetrius is disqualified by a 22-year variance, is arguably overstated. A plausible explanation for the discrepancy in Demetrius's chronology is the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can easily account for such variances without necessitating the rejection of the witnesses.

=== The Correlations ===
An interesting piece of corroborating evidence exists in the previously mentioned 1864 publication by Rev. John Mills, ''Three Months' Residence at Nablus'', where High Priest Amram records his own chronological dates based on the Samaritan Pentateuch. Priest Amram lists the Flood date as 1307 years after creation, but then lists the birth of Arphaxad as 1309 years—exactly two years after the Flood—which presumably places Shem's birth in year 502 of Noah's life (though Shem's actual birth date in the text is obscured by a typo).

The internal tension in Priest Amram's calculations likely reflects the same two-year variance seen between Demetrius and Africanus. Priest Amram lists the birth years of Shelah, Eber, and Peleg as 1444, 1574, and 1708, respectively. Africanus lists those same birth years as 2397, 2527, and 2661. In each case, the Priest Amram figure differs from the Africanus value by exactly 953 years. While the chronology of Africanus may reach us through an intermediary, as Paul D. notes, the values provided by both Demetrius and Africanus are precisely what one would anticipate to resolve the &quot;Universal Flood&quot; problem.


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      <text bytes="90473" sha1="hwczqs6hegrcjgqdtmijapoliv6kdms" xml:space="preserve">{{Original research}}
This page evaluates and extends the mathematical insights presented in the 2017 article, ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'' by Paul D. While the original article provides a compelling foundation, this analysis identifies areas where the underlying data and mathematical evidence are more robust than initially presented. The following sections aim to clarify these findings and offer a more precise structural framework.

== Summary of Main Arguments ==
The ages of the patriarchs in Genesis are not intended as historical records, but as a complex symbolic mathematical structure designed by ancient authors. Key points include:

* '''Artificial Mathematical Design:''' Patriarchal ages and event years are based on symbolic or &quot;perfect&quot; numbers (such as 7, 49, and 60) rather than biological or historical reality.
* '''Alignment with Sacred Cycles:''' The chronologies are designed to align significant events—such as the Exodus and the dedication of Solomon’s Temple—with specific &quot;years of the world&quot; (''Anno Mundi''), synchronizing human history with a divine calendar.
* '''The Universal Flood as a Later Insertion:''' Evidence suggests the universal scope of Noah's Flood was a later addition to a patriarchal foundation story. This insertion disrupted the original timelines, forcing recalibrations in the Masoretic Text (MT), Samaritan Pentateuch (SP), and Septuagint (LXX) to avoid chronological contradictions.
* '''Chronological Overlaps:''' In the original numerical framework (prior to recalibration for a universal flood), the mathematical structures resulted in overlaps where certain patriarchs, such as Methuselah, survived beyond the date of the Flood.

= Arichat Yamim =

Most of the patriarchs' lifespans in the Hebrew Bible far exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101).

This phenomenon is difficult to explain, as no known ancient number system features &quot;101&quot; as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle.
 
In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a &quot;perfect&quot; Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows:

*:&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
\frac{7\,\text{šar}}{2} &amp;= 3\,\text{šar}\,\,30\,\text{šūši}  \\ 
&amp;= \left(3 \times 60^2 \, \text{years} \right) + \left(30 \times 60^1 \,\text{years} \right) \\ 
&amp;= 10,800 \, \text{years} + 1,800 \, \text{years} \\
&amp;= 12,600 \, \text{years}
\end{aligned}
&lt;/math&gt;

This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60).

==== Prototype 1: Initial &quot;Mesopotamian&quot; Allocation ====

----

&lt;div style=&quot;background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;&quot;&gt;
The initial &quot;PT1&quot; framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''):

* '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49).
* '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''.
* '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920).
&lt;/div&gt;

----

==== Prototype 2: Refined &quot;Jubilee&quot; Allocation ====

----

&lt;div style=&quot;background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;&quot;&gt;
Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the &quot;Remainder&quot; to each of the two primary groups. This resulted in the &quot;PT2&quot; figures as follows:

* '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees).
* '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees).
* '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949).
&lt;/div&gt;

----

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that result in a patriarch surviving beyond the date of the Flood.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e0f2f1; border-bottom:2px solid #009688;&quot; | PROTOTYPE 1&lt;br/&gt;(PT1)
! colspan=&quot;3&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PROTOTYPE 2&lt;br/&gt;(PT2)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;82 šūši&lt;br/&gt;(4920)&lt;/div&gt;
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;45 šūši&lt;br/&gt;(2700)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;4949&lt;/div&gt;
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2727&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 912

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 905

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 910

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;37 šūši&lt;br/&gt;(2220)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2222&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 895

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 6 (360)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot;  | Methuselah
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;46 šūši&lt;br/&gt;(2760)&lt;/div&gt;
| rowspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;32 šūši&lt;br/&gt;(1920)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2702&lt;/div&gt;
| rowspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1919&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 14 (880)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 14 (840)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam
| rowspan=&quot;18&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;82 šūši&lt;br/&gt;(4920)&lt;/div&gt;
| rowspan=&quot;5&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;40 šūši&lt;br/&gt;(2400)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 16 (960)
| rowspan=&quot;18&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;4949&lt;/div&gt;
| rowspan=&quot;5&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2401&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 930

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 10 (600)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 7 (420)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Cainan (II)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 7 (420)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 433

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Eber
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;25 šūši&lt;br/&gt;(1500)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 8 (480)
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1525&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 464

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 4 (240)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 4 (240)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Serug
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 230

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 148

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Abraham
| rowspan=&quot;7&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;17 šūši&lt;br/&gt;(1020)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| rowspan=&quot;7&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1023&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 175

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Isaac
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jacob
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 147

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Levi
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kohath
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Amram
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 131

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Moses
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 120

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! style=&quot;text-align:left; color:black;&quot; | LIFESPAN&lt;br/&gt;DURATION&lt;br/&gt;SUM
| colspan=&quot;6&quot; | 210 šūši&lt;br/&gt;(12,600 years)
|}

== PT2 as the Base Model for Patriarchal Chronologies ==
The &quot;PT2&quot; chronology serves as the foundational model from which subsequent patriarchal lifespans in various textual traditions were derived. Evidence for this remains visible across nearly all biblical records, as they consistently preserve the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1).

* '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost.
* '''The Masoretic Text (MT):''' This tradition shifted 6 years from the &quot;Remainder&quot; to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block.
* '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši'''''.
* '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence.

The use of rounded Mesopotamian figures in the Armenian Eusebius Chronology suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the Septuagint's divergence indicates a later development—likely in Alexandria—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;

|+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum)
|-
! rowspan=&quot;2&quot; | Patriarch Groups
! rowspan=&quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;2&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;3&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! style=&quot;background-color:#e3f2fd;&quot; | Masoretic&lt;br/&gt;(MT)
! style=&quot;background-color:#e3f2fd;&quot; | Samaritan&lt;br/&gt;(SP)
! style=&quot;background-color:#fff3e0;&quot; | Josephus&lt;br/&gt;(94 AD)
! style=&quot;background-color:#fff3e0;&quot; | Eusebius&lt;br/&gt;(325 AD)
! style=&quot;background-color:#fff3e0;&quot; | Septuagint&lt;br/&gt;(LXX)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth to Enoch&lt;br/&gt;&lt;small&gt;(6 Patriarchs)&lt;/small&gt;
| colspan=&quot;2&quot; style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
| style=&quot;background-color:#f9f9f9;&quot; | 4834&lt;br/&gt;&lt;small&gt;(4949 - 115)&lt;/small&gt;
| colspan=&quot;3&quot; style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
|-

| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah, Lamech, Noah&lt;br/&gt;&lt;small&gt;(The Remainder)&lt;/small&gt;
| style=&quot;font-weight:bold; background-color:#f9f9f9;&quot; | 2702
| style=&quot;background-color:#f9f9f9;&quot; | 2696&lt;br/&gt;&lt;small&gt;(2702 - 6)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2323&lt;br/&gt;&lt;small&gt;(2702 - 379)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2626&lt;br/&gt;&lt;small&gt;(2702 - 76)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2642&lt;br/&gt;&lt;small&gt;(2702 - 60)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2672&lt;br/&gt;&lt;small&gt;(2702 - 30)&lt;/small&gt;
|-

| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam &amp; Shem to Moses&lt;br/&gt;&lt;small&gt;(The &quot;Second Half&quot;)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
| style=&quot;background-color:#f9f9f9;&quot; | 4955&lt;br/&gt;&lt;small&gt;(4949 + 6)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 4834&lt;br/&gt;&lt;small&gt;(4949 - 115)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | —
| style=&quot;background-color:#f9f9f9;&quot; | 5609&lt;br/&gt;&lt;small&gt;(4949 + 660)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 5930&lt;br/&gt;&lt;small&gt;(4949 + 981)&lt;/small&gt;

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:14px;&quot;
! LIFESPAN DURATION SUM
| colspan=&quot;2&quot; | 12,600
| 11,991
| —
| 13,200
| 13,551
|}
&lt;small&gt;* '''Dash (—)''' indicates where primary sources do not provide complete death data.&lt;/small&gt;

== Comparative Chronology Tables ==

The following table reconstructs lifespan values across multiple chronological traditions. While most values are derived directly from the primary source texts listed in the header, the '''Armenian Eusebius''' chronology does not explicitly record the lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that result in a patriarch surviving beyond the date of the Flood.
* &lt;span style=&quot;color:#333333;&quot;&gt;'''Blank Cells'''&lt;/span&gt; indicate where primary sources do not provide specific lifespan or death data.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! rowspan = &quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;1&quot; rowspan = &quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;2&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;3&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 912

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 905

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 910

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 895

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962
| 847
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969
| 720
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;6&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 777
| 653
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 707
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 723
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 753

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 930

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600
| rowspan=&quot;9&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438
| 538
| 535

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Cainan (II)
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —
| —
| 460

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 433
| 536
| 460

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Eber
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 464
| 404
| 567
| colspan=&quot;2&quot; | 404

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239
| colspan=&quot;2&quot; | 339

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239
| 342
| 339

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Serug
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 230
| colspan=&quot;2&quot; | 330

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 148
| 198
| 304

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205
| 145
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Abraham
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 175

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Isaac
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180
| 185
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jacob
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 147

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Levi
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137
| rowspan=&quot;3&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kohath
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Amram
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 131
| 137
| 136
| colspan=&quot;2&quot; | 132

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Moses
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 120

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! style=&quot;text-align:left; color:black;&quot; | LIFESPAN&lt;br/&gt;DURATION&lt;br/&gt;SUM
| colspan=&quot;2&quot; | 12,600
| colspan=&quot;1&quot; | 11,991
| —
| colspan=&quot;1&quot; | 13,200
| colspan=&quot;1&quot; | 13,551
|}

=== Samaritan Adjustments ===
Four of the pre-flood patriarchs—Jared, Methuselah, Lamech, and Noah—are credited with exceptionally long lives late in the chronology, which creates a potential overlap where these four patriarchs appear to survive Noah's flood. As shown in the above table, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. Other traditions do not employ this specific reduction, but all must address the issue of flood survival, as explained in later sections.

The required reduction in Jared's lifespan was '''115 years'''. Interestingly, as noted in the previous section, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the &quot;Group 1&quot; and &quot;Group 2&quot; patriarchs.

Specifically, this balance was achieved through the following adjustments:
* '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each).
* '''Amram's''' lifespan was increased by five years.

This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing.

=== Masoretic Adjustments ===

In the 2017 article, &quot;[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs],&quot; Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition:

&lt;blockquote&gt;&quot;The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)&quot;&lt;/blockquote&gt;

While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late &quot;tweak&quot; in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges:

&lt;blockquote&gt;&quot;Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above.&quot;&lt;/blockquote&gt;

==== ''Lectio Difficilior Potior'' ====
The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the &quot;harder reading is stronger&quot;) suggests that scribes tend to simplify or &quot;smooth&quot; texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life.

In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges:

* '''Year 500 (of Noah):''' Shem is born.
* '''Year 600 (of Noah):''' The Flood occurs.
* '''Year 700 (of Noah):''' Lamech dies.

This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a &quot;compressed chronology&quot; (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (53, 653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''183 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate &quot;balancing&quot; of total chronological years.

=== Armenian Eusebius Adjustments ===
Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 220 ''šūši'' (or 10 ''šūši'' more than the Masoretic Text). Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system.

Specifically, the following adjustments appear to have occurred for Group 2 patriarchs:
* '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years.
* '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years.
* '''Nahor''' had his lifespan increased by 50 years.
* '''Amram''' had his lifespan increased by 1 year.

The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''.

= It All Started With Grain =

[[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]]

The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the [https://www.biblicalarchaeology.org/daily/news/ancient-bread-jordan/ Black Desert of Jordan]. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops.

The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the &quot;firstfruits of your harvest&quot; (referring to barley) before the Lord:

&lt;blockquote&gt;&quot;then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord&quot;&lt;/blockquote&gt;

To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues:

&lt;blockquote&gt;&quot;And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord.&quot;&lt;/blockquote&gt;

[[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]]

These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the &quot;better things&quot; and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.

This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: 

&lt;blockquote&gt;&quot;And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye &lt;small&gt;(likely emmer wheat or spelt)&lt;/small&gt; were not smitten: for they were not grown up.&quot;&lt;/blockquote&gt;

This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. 

The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest).

=== The Mathematical Structure of Jubilees ===

The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of &quot;weeks&quot;:

* '''Week of Years:''' 7&lt;sup&gt;1&lt;/sup&gt; = 7 years
* '''Jubilee of Years:''' 7&lt;sup&gt;2&lt;/sup&gt; = 49 years
* '''Week of Jubilees:''' 7&lt;sup&gt;3&lt;/sup&gt; = 343 years
* '''Jubilee of Jubilees:''' 7&lt;sup&gt;4&lt;/sup&gt; = 2,401 years

The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land.

[[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]]

The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested &quot;Jubilee of Jubilees&quot; (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle.

* The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year.
* The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years.
* The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid.
* The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs.

== The Birth of Shem (A Digression) ==
Were Noah's sons born when Noah was 500 or 502?

==== The 502 Calculation ====
While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that &quot;Noah was 500 years old, and Noah begat Shem, Ham, and Japheth,&quot; this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: 
# Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). 
# Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10])

'''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples.

==== Competing Narratives ====
According to the Book of Jubilees 4:33, Shem was the oldest son, born in Noah's 500&lt;sup&gt;th&lt;/sup&gt; year, followed by Ham in the 502&lt;sup&gt;nd&lt;/sup&gt; year, and Japheth in the 505&lt;sup&gt;th&lt;/sup&gt;. This seems to be in contradiction with the Genesis narrative which places Shem as the second son in year 502.

==== ''Lectio Difficilior Potior'' ====

The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the harder reading is stronger) suggests that scribes tend to simplify or &quot;smooth&quot; texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life.

In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28%7Cversion=SPE Lamech’s 53rd year]. If we combine that with the 500-year figure for Noah's age at the birth of his sons and the [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB Septuagint figure of 753] for Lamech's death, a suspiciously neat pattern emerges:

* '''Year 500 (of Noah):''' Shem is born.
* '''Year 600 (of Noah):''' The Flood occurs.
* '''Year 700 (of Noah):''' Lamech dies.

This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a &quot;compressed chronology&quot; (500–600–700) is a hallmark of editorial smoothing—likely values adjusted during the introduction of the universal flood narrative to create a more &quot;perfect&quot; structure.

Applying ''Lectio Difficilior'', we can reasonably set aside the figures 53, 500, and 753 as being &quot;too structured to be true,&quot; shifting our focus to less symmetrical values such as '''502''' for Shem's birth.

== The Mathematical relationship between 40 and 49 ==

As noted previously, the ''Jubilees'' author envisions early Hebraic history within a &quot;Jubilee of Jubilees&quot; fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows:

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 (7-3)(7+3) &amp;=  7^2 - 3^2 \\
 &amp;= 49 - 9 \\
 &amp;= 40
\end{aligned}
&lt;/math&gt;

The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40.

[[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] 

Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years):

[[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]]

&lt;div style=&quot;line-height: 1.5;&quot;&gt;
* '''Book of Jubilees (Adam to Canaan)'''
** Pre-Flood Patriarch years:
*:&lt;math display=&quot;block&quot;&gt;\frac{7^4 - 1}{2} + 3^2 = 1200 + 9 = 1209&lt;/math&gt;
** Post-Flood Patriarch years:
*:&lt;math display=&quot;block&quot;&gt;\frac{7^4 + 1}{2} + (7^2 - 3^2) = 1201 + 40 = 1241&lt;/math&gt;
** Total Years:
*:&lt;math display=&quot;block&quot;&gt;7^4 + 7^2 = 2401 + 49 = 2450&lt;/math&gt;
&lt;/div&gt;

== The Samaritan Pentateuch Connection ==
Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition.

[[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]]

=== Determining Chronological Priority ===
A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem is born in year 1207 (reconstructed as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 &quot;Jubilee of Jubilees.&quot;

This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's &quot;pivot&quot; position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment.

=== The 350-Year Symmetrical Extension ===
Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a &quot;week of Jubilees&quot; (343 years) plus a &quot;week of years&quot; (7 years).

&lt;div style=&quot;line-height: 1.5;&quot;&gt;
* '''Book of Jubilees (Adam to Canaan):'''
:&lt;math display=&quot;block&quot;&gt;7^4 + 7^2 = 2401 + 49 = 2450 \text{ years}&lt;/math&gt;

* '''Samaritan Pentateuch (Adam to Conquest):'''
:&lt;math display=&quot;block&quot;&gt;\begin{aligned} \text{(Base 49): } &amp; 7^4 + 7^3 + 7^2 + 7^1 = 2401 + 343 + 49 + 7 = 2800 \\ \text{(Base 40): } &amp; 70 \times 40 = 2800 \end{aligned}&lt;/math&gt;
&lt;/div&gt;

=== Mathematical Structure of the Early Samaritan Chronology ===
To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each):

* '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''.
* '''The second cluster''' represents a second millennium.
* '''The final set''' contains 20 blocks (4x5), representing '''800 years'''.

Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record.


[[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]]

== Living in the Rough ==

[[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]]

As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a &quot;generation&quot;) are less clear, but the number is consistently associated with &quot;living in the rough&quot;—periods of trial, transition, or exile away from the comforts of civilization. 

Examples of this pattern include:
* '''Noah''' lived within the ark for 40 days while the rain fell; 
* '''Israel''' wandered in the wilderness for 40 years; 
* '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. 

Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era.

Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the &quot;civilized&quot; city.

In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means &quot;supplanter&quot;—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a &quot;skillful hunter&quot; and a &quot;man of the field,&quot; while Jacob is &quot;dwelling in tents&quot; and cooking &quot;lentil stew.&quot;

The text draws a clear parallel between these two sets of brothers:
* In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. 
* In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this &quot;clever&quot; intervention, Jacob successfully secures the favor that Cain could not.

Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. 

This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the &quot;rough&quot; of the wilderness.

Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three &quot;generations&quot; (3 x 40).

The relationship between these two &quot;three-fold&quot; lifespans can be expressed by the same nine-year offset identified in the Shem chronology:

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 49 - 9 &amp;= 40 \\
 3(49 - 9) &amp;= 3(40) \\
 147 - 27 &amp;= 120
\end{aligned}
&lt;/math&gt;

[[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] 

Samaritan tradition maintains a unique cultural link to the &quot;pastoralist&quot; ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the &quot;grain-based&quot; agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to &quot;wilderness living,&quot; the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit.

=== A narrative foil for Joshua ===
As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a &quot;foil&quot; for Jacob: Moses lived exactly three &quot;generations&quot; (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization.

This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding &quot;foil&quot; to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam?

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 49 - 9 &amp;= 40 \\
 70(49 - 9) &amp;= 70(40) \\
 3,430 - 630 &amp;= 2,800
\end{aligned}
&lt;/math&gt;

Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific &quot;foil&quot; to Joshua existed in the original architect's mind.

The Samaritans do maintain a continuous, running calendar. However, this system uses a &quot;Conquest Era&quot; epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. For instance, at that time, the [[w:Hyksos|Hyksos]] were only beginning to establish control over Lower Egypt. Furthermore, the [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC.

There is, however, one more possibility to consider: what if the &quot;irreconcilable&quot; nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent &quot;foil&quot; event occurred exactly 3,430 years after Creation? 

As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare &quot;smoking gun&quot; for the artificial design of the chronology.

=== A Mystery Solved ===
In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest.

The significant milestones in this timeline include:
* '''Year 1''': &quot;This year the world and Adam were created.&quot; 
* '''Year 2801''': &quot;The first year of Israel's rule in the land of Canaan.&quot; 
* '''Year 3423''': &quot;The commencement of the kingdom of Solomon.&quot;

According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological &quot;anchor&quot; was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself.

In Creation Year 2800—marking exactly 70 &quot;generations&quot; of 40 years—God entered Canaan in a tent, embodying the &quot;living rough&quot; wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 &quot;Jubilees&quot; of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70&lt;sup&gt;th&lt;/sup&gt; generation to the 70&lt;sup&gt;th&lt;/sup&gt; Jubilee:

:&lt;math&gt;70 \times 40 + (70 \times 9) = 70 \times 49&lt;/math&gt;

=== Mathematical Structure of the Later Samaritan Chronology ===
The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years:

* '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation.
* '''The second cluster''' spans years '''3,000 to 4,000''' after Creation.
* '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation.

The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year &quot;Tabernacle&quot; era''', which is composed of:
* The 40 years of wandering in the wilderness;
* The 6 years of the initial conquest;
* The 630 years between the conquest and the completion of Solomon’s Temple.

Following the '''676-year &quot;Tabernacle&quot; era''' is a '''400-year &quot;First Temple&quot; era''' and a '''70-year &quot;Exile&quot; era''' as detailed in the historical breakdown below.

[[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]]

The Book of Daniel states: &quot;In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it&quot; (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''.

The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure.

High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. 

Using this synchronization, other significant milestones are mapped as follows:
* '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''.
* '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''.
* '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''.

High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year &quot;Second Temple Persian Era&quot; (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. 

The remainder of the diagram represents a 300-year &quot;Second Temple Hellenistic Era,&quot; which concludes in '''Creation Year 4400''' (30 BC).

=== Competing Temples ===
There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year &quot;Second Temple Persian Era&quot; (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework.

According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple:

&lt;blockquote&gt;&quot;But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel&quot; (Ezra 4:3).&lt;/blockquote&gt;

After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population.

[[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]]

This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC.

= The Rise of Zadok =
The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years:

* '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation.
* '''The second cluster''' spans years '''3,000 to 4,000''' after Creation.
* '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation.

The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section.  Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness.  To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event.

[[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]]

The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000.

= Hellenized Jews =
Hellenized Jews were
ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint.
= Start TBD =

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! rowspan = &quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;1&quot; rowspan = &quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;2&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;3&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 912

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 905

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 910

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 895

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962
| 847
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969
| 720
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;6&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 777
| 653
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 707
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 723
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 753

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 930

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600
| rowspan=&quot;9&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438
| 538
| 535

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Cainan (II)
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —
| —
| 460

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 433
| 536
| 460

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Eber
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 464
| 404
| 567
| colspan=&quot;2&quot; | 404

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239
| colspan=&quot;2&quot; | 339

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239
| 342
| 339

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Serug
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 230
| colspan=&quot;2&quot; | 330

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 148
| 198
| 304

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205
| 145
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Abraham
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 175

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Isaac
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180
| 185
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jacob
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 147

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Levi
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137
| rowspan=&quot;3&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kohath
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Amram
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 131
| 137
| 136
| colspan=&quot;2&quot; | 132

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Moses
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 120

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! style=&quot;text-align:left; color:black;&quot; | LIFESPAN&lt;br/&gt;DURATION&lt;br/&gt;SUM
| colspan=&quot;2&quot; | 12,600
| colspan=&quot;1&quot; | 11,991
| —
| colspan=&quot;1&quot; | 13,200
| colspan=&quot;1&quot; | 13,551
|}

= End TBD =

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that could result in patriarchs surviving beyond the date of the Flood.
* &lt;span style=&quot;color:#333333;&quot;&gt;'''Blank Cells'''&lt;/span&gt; indicate where primary sources do not provide specific lifespan or death data.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;&quot;
|+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son)

|-
! rowspan=&quot;2&quot; colspan=&quot;1&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Adam
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 130
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 230

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Seth
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 105
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 205

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 90
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 190

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 70
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 170

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 66
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | 65
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 165

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 61
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 162
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 62
| colspan=&quot;6&quot; style=&quot;background-color:#f9f9f9;&quot; | 162

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 65
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 165

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 65
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 187
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 67
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 167 / 187
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 167
| colspan=&quot;2&quot; style=&quot;background-color:#f9f9f9;&quot; | 187

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 55
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 182
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 53
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 182 / 188
| colspan=&quot;5&quot; style=&quot;background-color:#f9f9f9;&quot; | 188

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;9&quot; style=&quot;background-color:#e8e8e8;&quot; | 500 .. 502

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot; style=&quot;text-align:left; color:black;&quot; | Pre-Flood TOTAL
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 1556
| colspan=&quot;1&quot; | 1209
| colspan=&quot;3&quot; | Varied
| colspan=&quot;1&quot; | 2142
| colspan=&quot;1&quot; | 2162
| colspan=&quot;1&quot; | 2164
|}

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;&quot;

|+ Comparison of Post-Flood Chronological Traditions (Age at birth of son)
|-
! colspan=&quot;1&quot; rowspan=&quot;2&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot;  style=&quot;text-align:left; color:black;&quot; | Pre-Flood
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 1556
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 2164
| colspan=&quot;1&quot; | 2162
| colspan=&quot;1&quot; | 2142
| colspan=&quot;3&quot; | Varied

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 100
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 112

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Arphaxad
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 66
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 35
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 135

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Cainan II
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 57
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 130
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 130
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 71
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Eber
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 64
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 34
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 134

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 61
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 59
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 32
| colspan=&quot;5&quot; style=&quot;background-color:#e8e8e8;&quot; | 132
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 135
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Serug	
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 57
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 130
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 132

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 62
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 29
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 79
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 75
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 79 / 179
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 79
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 120

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;9&quot; style=&quot;background-color:#e8e8e8;&quot; | 70

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Abram
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 78
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 75

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Canaan
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 218
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 215

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Egypt
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 238
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 430
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 215
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 430
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 215
|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Sinai +/-
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 40
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | -
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 46
| colspan=&quot;4&quot; style=&quot;background-color:#e8e8e8;&quot; | 40

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot; style=&quot;text-align:left; color:black;&quot; | GRAND TOTAL
| colspan=&quot;1&quot; | 2450
| colspan=&quot;1&quot; | 2666
| colspan=&quot;1&quot; | 2800
| colspan=&quot;1&quot; | 3885
| colspan=&quot;1&quot; | 3754
| colspan=&quot;1&quot; | 3938
| colspan=&quot;3&quot; | Varied
|}

== The Septuagint Chronology ==

While the chronologies of the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' are anchored in Levant-based agricultural cycles and the symbolic interplay of the numbers 40 and 49, the Septuagint (LXX) appears to have been structured around a different set of priorities. Specifically, the LXX's chronological framework seems designed to resolve a significant textual difficulty: the mathematical anomaly of patriarchs potentially outliving the Flood. In the 2017 article, ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', author Paul D. makes the following statement regarding the Septuagint:

&lt;blockquote&gt;“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”&lt;/blockquote&gt;

While Paul D.’s &quot;Whoops Theory&quot; suggests the LXX editor intended to &quot;fix&quot; the timeline but failed in the case of Methuselah, this interpretation potentially overlooks the systemic nature of the changes. If an editor is methodical enough to systematically alter multiple generations by exactly one hundred years, a single &quot;failure&quot; to fix Methuselah could suggest the avoidance of a post-Flood death was not the primary objective.

Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': 

&lt;blockquote&gt;&quot;Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years.&quot;&lt;/blockquote&gt; 

This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development.

=== Demetrius the Chronographer ===
Demetrius the Chronographer, writing as early as the late 3rd century BC (c. 221 BC), represents the earliest known witness to biblical chronological calculations. While only fragments of his work remain, they are significant; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. This presumably places the birth of Shem at 2,164 years—exactly one hundred years before the Flood—aligning his data with the &quot;Long Chronology&quot; of the Septuagint.

In the comment section of the original article, in response to evidence regarding this longer tradition (provided by commenter Roger Quill), Paul D. reaffirms his &quot;Whoops Theory&quot; by challenging the validity of various witnesses to the 187-year begettal age of Methuselah. In this view, Codex Alexandrinus is seen as the lone legitimate witness, while others are discounted: 

* '''Josephus:''' Characterized as dependent on the Masoretic tradition.
* '''Pseudo-Philo:''' Dismissed due to textual corruption (&quot;a real mess&quot;).
* '''Julius Africanus:''' Questioned because his records survive only through the later intermediary, Syncellus.
* '''Demetrius:''' Rejected as a witness because his chronology contains an additional 22 years (rather than the typical 20-year variance) whose precise placement remains unknown.

The claim that Julius Africanus is invalidated due to his survival through an intermediary, or that Demetrius is disqualified by a 22-year variance, is arguably overstated. A plausible explanation for the discrepancy in Demetrius's chronology is the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can easily account for such variances without necessitating the rejection of the witnesses.

=== The Correlations ===
An interesting piece of corroborating evidence exists in the previously mentioned 1864 publication by Rev. John Mills, ''Three Months' Residence at Nablus'', where High Priest Amram records his own chronological dates based on the Samaritan Pentateuch. Priest Amram lists the Flood date as 1307 years after creation, but then lists the birth of Arphaxad as 1309 years—exactly two years after the Flood—which presumably places Shem's birth in year 502 of Noah's life (though Shem's actual birth date in the text is obscured by a typo).

The internal tension in Priest Amram's calculations likely reflects the same two-year variance seen between Demetrius and Africanus. Priest Amram lists the birth years of Shelah, Eber, and Peleg as 1444, 1574, and 1708, respectively. Africanus lists those same birth years as 2397, 2527, and 2661. In each case, the Priest Amram figure differs from the Africanus value by exactly 953 years. While the chronology of Africanus may reach us through an intermediary, as Paul D. notes, the values provided by both Demetrius and Africanus are precisely what one would anticipate to resolve the &quot;Universal Flood&quot; problem.


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      <text bytes="86605" sha1="mvshx53d61u7xbppifx9rllxdu3khet" xml:space="preserve">{{Original research}}
This page evaluates and extends the mathematical insights presented in the 2017 article, ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'' by Paul D. While the original article provides a compelling foundation, this analysis identifies areas where the underlying data and mathematical evidence are more robust than initially presented. The following sections aim to clarify these findings and offer a more precise structural framework.

== Summary of Main Arguments ==
The ages of the patriarchs in Genesis are not intended as historical records, but as a complex symbolic mathematical structure designed by ancient authors. Key points include:

* '''Artificial Mathematical Design:''' Patriarchal ages and event years are based on symbolic or &quot;perfect&quot; numbers (such as 7, 49, and 60) rather than biological or historical reality.
* '''Alignment with Sacred Cycles:''' The chronologies are designed to align significant events—such as the Exodus and the dedication of Solomon’s Temple—with specific &quot;years of the world&quot; (''Anno Mundi''), synchronizing human history with a divine calendar.
* '''The Universal Flood as a Later Insertion:''' Evidence suggests the universal scope of Noah's Flood was a later addition to a patriarchal foundation story. This insertion disrupted the original timelines, forcing recalibrations in the Masoretic Text (MT), Samaritan Pentateuch (SP), and Septuagint (LXX) to avoid chronological contradictions.
* '''Chronological Overlaps:''' In the original numerical framework (prior to recalibration for a universal flood), the mathematical structures resulted in overlaps where certain patriarchs, such as Methuselah, survived beyond the date of the Flood.

= Arichat Yamim =

Most of the patriarchs' lifespans in the Hebrew Bible far exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101).

This phenomenon is difficult to explain, as no known ancient number system features &quot;101&quot; as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle.
 
In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a &quot;perfect&quot; Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows:

*:&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
\frac{7\,\text{šar}}{2} &amp;= 3\,\text{šar}\,\,30\,\text{šūši}  \\ 
&amp;= \left(3 \times 60^2 \, \text{years} \right) + \left(30 \times 60^1 \,\text{years} \right) \\ 
&amp;= 10,800 \, \text{years} + 1,800 \, \text{years} \\
&amp;= 12,600 \, \text{years}
\end{aligned}
&lt;/math&gt;

This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60).

==== Prototype 1: Initial &quot;Mesopotamian&quot; Allocation ====

----

&lt;div style=&quot;background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;&quot;&gt;
The initial &quot;PT1&quot; framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''):

* '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49).
* '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''.
* '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920).
&lt;/div&gt;

----

==== Prototype 2: Refined &quot;Jubilee&quot; Allocation ====

----

&lt;div style=&quot;background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;&quot;&gt;
Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the &quot;Remainder&quot; to each of the two primary groups. This resulted in the &quot;PT2&quot; figures as follows:

* '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees).
* '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees).
* '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949).
&lt;/div&gt;

----

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that result in a patriarch surviving beyond the date of the Flood.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e0f2f1; border-bottom:2px solid #009688;&quot; | PROTOTYPE 1&lt;br/&gt;(PT1)
! colspan=&quot;3&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PROTOTYPE 2&lt;br/&gt;(PT2)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;82 šūši&lt;br/&gt;(4920)&lt;/div&gt;
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;45 šūši&lt;br/&gt;(2700)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;4949&lt;/div&gt;
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2727&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 912

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 905

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 910

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;37 šūši&lt;br/&gt;(2220)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2222&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 895

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 6 (360)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot;  | Methuselah
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;46 šūši&lt;br/&gt;(2760)&lt;/div&gt;
| rowspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;32 šūši&lt;br/&gt;(1920)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2702&lt;/div&gt;
| rowspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1919&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 14 (880)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 14 (840)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam
| rowspan=&quot;18&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;82 šūši&lt;br/&gt;(4920)&lt;/div&gt;
| rowspan=&quot;5&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;40 šūši&lt;br/&gt;(2400)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 16 (960)
| rowspan=&quot;18&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;4949&lt;/div&gt;
| rowspan=&quot;5&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2401&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 930

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 10 (600)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 7 (420)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Cainan (II)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 7 (420)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 433

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Eber
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;25 šūši&lt;br/&gt;(1500)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 8 (480)
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1525&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 464

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 4 (240)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 4 (240)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Serug
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 230

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 148

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Abraham
| rowspan=&quot;7&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;17 šūši&lt;br/&gt;(1020)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| rowspan=&quot;7&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1023&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 175

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Isaac
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jacob
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 147

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Levi
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kohath
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Amram
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 131

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Moses
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 120

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! style=&quot;text-align:left; color:black;&quot; | LIFESPAN&lt;br/&gt;DURATION&lt;br/&gt;SUM
| colspan=&quot;6&quot; | 210 šūši&lt;br/&gt;(12,600 years)
|}

== PT2 as the Base Model for Patriarchal Chronologies ==
The &quot;PT2&quot; chronology serves as the foundational model from which subsequent patriarchal lifespans in various textual traditions were derived. Evidence for this remains visible across nearly all biblical records, as they consistently preserve the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1).

* '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost.
* '''The Masoretic Text (MT):''' This tradition shifted 6 years from the &quot;Remainder&quot; to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block.
* '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši'''''.
* '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence.

The use of rounded Mesopotamian figures in the Armenian Eusebius Chronology suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the Septuagint's divergence indicates a later development—likely in Alexandria—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;

|+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum)
|-
! rowspan=&quot;2&quot; | Patriarch Groups
! rowspan=&quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;2&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;3&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! style=&quot;background-color:#e3f2fd;&quot; | Masoretic&lt;br/&gt;(MT)
! style=&quot;background-color:#e3f2fd;&quot; | Samaritan&lt;br/&gt;(SP)
! style=&quot;background-color:#fff3e0;&quot; | Josephus&lt;br/&gt;(94 AD)
! style=&quot;background-color:#fff3e0;&quot; | Eusebius&lt;br/&gt;(325 AD)
! style=&quot;background-color:#fff3e0;&quot; | Septuagint&lt;br/&gt;(LXX)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth to Enoch&lt;br/&gt;&lt;small&gt;(6 Patriarchs)&lt;/small&gt;
| colspan=&quot;2&quot; style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
| style=&quot;background-color:#f9f9f9;&quot; | 4834&lt;br/&gt;&lt;small&gt;(4949 - 115)&lt;/small&gt;
| colspan=&quot;3&quot; style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
|-

| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah, Lamech, Noah&lt;br/&gt;&lt;small&gt;(The Remainder)&lt;/small&gt;
| style=&quot;font-weight:bold; background-color:#f9f9f9;&quot; | 2702
| style=&quot;background-color:#f9f9f9;&quot; | 2696&lt;br/&gt;&lt;small&gt;(2702 - 6)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2323&lt;br/&gt;&lt;small&gt;(2702 - 379)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2626&lt;br/&gt;&lt;small&gt;(2702 - 76)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2642&lt;br/&gt;&lt;small&gt;(2702 - 60)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2672&lt;br/&gt;&lt;small&gt;(2702 - 30)&lt;/small&gt;
|-

| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam &amp; Shem to Moses&lt;br/&gt;&lt;small&gt;(The &quot;Second Half&quot;)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
| style=&quot;background-color:#f9f9f9;&quot; | 4955&lt;br/&gt;&lt;small&gt;(4949 + 6)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 4834&lt;br/&gt;&lt;small&gt;(4949 - 115)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | —
| style=&quot;background-color:#f9f9f9;&quot; | 5609&lt;br/&gt;&lt;small&gt;(4949 + 660)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 5930&lt;br/&gt;&lt;small&gt;(4949 + 981)&lt;/small&gt;

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:14px;&quot;
! LIFESPAN DURATION SUM
| colspan=&quot;2&quot; | 12,600
| 11,991
| —
| 13,200
| 13,551
|}
&lt;small&gt;* '''Dash (—)''' indicates where primary sources do not provide complete death data.&lt;/small&gt;

== Comparative Chronology Tables ==

The following table reconstructs lifespan values across multiple chronological traditions. While most values are derived directly from the primary source texts listed in the header, the '''Armenian Eusebius''' chronology does not explicitly record the lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that result in a patriarch surviving beyond the date of the Flood.
* &lt;span style=&quot;color:#333333;&quot;&gt;'''Blank Cells'''&lt;/span&gt; indicate where primary sources do not provide specific lifespan or death data.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! rowspan = &quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;1&quot; rowspan = &quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;2&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;3&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 912

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 905

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 910

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 895

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962
| 847
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969
| 720
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;6&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 777
| 653
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 707
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 723
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 753

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 930

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600
| rowspan=&quot;9&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438
| 538
| 535

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Cainan (II)
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —
| —
| 460

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 433
| 536
| 460

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Eber
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 464
| 404
| 567
| colspan=&quot;2&quot; | 404

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239
| colspan=&quot;2&quot; | 339

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239
| 342
| 339

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Serug
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 230
| colspan=&quot;2&quot; | 330

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 148
| 198
| 304

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205
| 145
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Abraham
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 175

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Isaac
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180
| 185
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jacob
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 147

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Levi
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137
| rowspan=&quot;3&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kohath
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Amram
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 131
| 137
| 136
| colspan=&quot;2&quot; | 132

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Moses
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 120

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! style=&quot;text-align:left; color:black;&quot; | LIFESPAN&lt;br/&gt;DURATION&lt;br/&gt;SUM
| colspan=&quot;2&quot; | 12,600
| colspan=&quot;1&quot; | 11,991
| —
| colspan=&quot;1&quot; | 13,200
| colspan=&quot;1&quot; | 13,551
|}

=== Samaritan Adjustments ===
Four of the pre-flood patriarchs—Jared, Methuselah, Lamech, and Noah—are credited with exceptionally long lives late in the chronology, which creates a potential overlap where these four patriarchs appear to survive Noah's flood. As shown in the above table, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. Other traditions do not employ this specific reduction, but all must address the issue of flood survival, as explained in later sections.

The required reduction in Jared's lifespan was '''115 years'''. Interestingly, as noted in the previous section, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the &quot;Group 1&quot; and &quot;Group 2&quot; patriarchs.

Specifically, this balance was achieved through the following adjustments:
* '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each).
* '''Amram's''' lifespan was increased by five years.

This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing.

=== Masoretic Adjustments ===

In the 2017 article, &quot;[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs],&quot; Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition:

&lt;blockquote&gt;&quot;The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)&quot;&lt;/blockquote&gt;

While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late &quot;tweak&quot; in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges:

&lt;blockquote&gt;&quot;Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above.&quot;&lt;/blockquote&gt;

==== ''Lectio Difficilior Potior'' ====
The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the &quot;harder reading is stronger&quot;) suggests that scribes tend to simplify or &quot;smooth&quot; texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life.

In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges:

* '''Year 500 (of Noah):''' Shem is born.
* '''Year 600 (of Noah):''' The Flood occurs.
* '''Year 700 (of Noah):''' Lamech dies.

This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a &quot;compressed chronology&quot; (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (53, 653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''183 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate &quot;balancing&quot; of total chronological years.

=== Armenian Eusebius Adjustments ===
Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 220 ''šūši'' (or 10 ''šūši'' more than the Masoretic Text). Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system.

Specifically, the following adjustments appear to have occurred for Group 2 patriarchs:
* '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years.
* '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years.
* '''Nahor''' had his lifespan increased by 50 years.
* '''Amram''' had his lifespan increased by 1 year.

The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''.

= It All Started With Grain =

[[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]]

The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the [https://www.biblicalarchaeology.org/daily/news/ancient-bread-jordan/ Black Desert of Jordan]. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops.

The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the &quot;firstfruits of your harvest&quot; (referring to barley) before the Lord:

&lt;blockquote&gt;&quot;then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord&quot;&lt;/blockquote&gt;

To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues:

&lt;blockquote&gt;&quot;And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord.&quot;&lt;/blockquote&gt;

[[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]]

These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the &quot;better things&quot; and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.

This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: 

&lt;blockquote&gt;&quot;And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye &lt;small&gt;(likely emmer wheat or spelt)&lt;/small&gt; were not smitten: for they were not grown up.&quot;&lt;/blockquote&gt;

This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. 

The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest).

=== The Mathematical Structure of Jubilees ===

The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of &quot;weeks&quot;:

* '''Week of Years:''' 7&lt;sup&gt;1&lt;/sup&gt; = 7 years
* '''Jubilee of Years:''' 7&lt;sup&gt;2&lt;/sup&gt; = 49 years
* '''Week of Jubilees:''' 7&lt;sup&gt;3&lt;/sup&gt; = 343 years
* '''Jubilee of Jubilees:''' 7&lt;sup&gt;4&lt;/sup&gt; = 2,401 years

The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land.

[[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]]

The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested &quot;Jubilee of Jubilees&quot; (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle.

* The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year.
* The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years.
* The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid.
* The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs.

== The Birth of Shem (A Digression) ==
Were Noah's sons born when Noah was 500 or 502?

==== The 502 Calculation ====
While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that &quot;Noah was 500 years old, and Noah begat Shem, Ham, and Japheth,&quot; this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: 
# Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). 
# Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10])

'''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples.

==== Competing Narratives ====
According to the Book of Jubilees 4:33, Shem was the oldest son, born in Noah's 500&lt;sup&gt;th&lt;/sup&gt; year, followed by Ham in the 502&lt;sup&gt;nd&lt;/sup&gt; year, and Japheth in the 505&lt;sup&gt;th&lt;/sup&gt;. This seems to be in contradiction with the Genesis narrative which places Shem as the second son in year 502.

==== ''Lectio Difficilior Potior'' ====

The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the harder reading is stronger) suggests that scribes tend to simplify or &quot;smooth&quot; texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life.

In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28%7Cversion=SPE Lamech’s 53rd year]. If we combine that with the 500-year figure for Noah's age at the birth of his sons and the [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB Septuagint figure of 753] for Lamech's death, a suspiciously neat pattern emerges:

* '''Year 500 (of Noah):''' Shem is born.
* '''Year 600 (of Noah):''' The Flood occurs.
* '''Year 700 (of Noah):''' Lamech dies.

This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a &quot;compressed chronology&quot; (500–600–700) is a hallmark of editorial smoothing—likely values adjusted during the introduction of the universal flood narrative to create a more &quot;perfect&quot; structure.

Applying ''Lectio Difficilior'', we can reasonably set aside the figures 53, 500, and 753 as being &quot;too structured to be true,&quot; shifting our focus to less symmetrical values such as '''502''' for Shem's birth.

== The Mathematical relationship between 40 and 49 ==

As noted previously, the ''Jubilees'' author envisions early Hebraic history within a &quot;Jubilee of Jubilees&quot; fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows:

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 (7-3)(7+3) &amp;=  7^2 - 3^2 \\
 &amp;= 49 - 9 \\
 &amp;= 40
\end{aligned}
&lt;/math&gt;

The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40.

[[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] 

Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years):

[[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]]

&lt;div style=&quot;line-height: 1.5;&quot;&gt;
* '''Book of Jubilees (Adam to Canaan)'''
** Pre-Flood Patriarch years:
*:&lt;math display=&quot;block&quot;&gt;\frac{7^4 - 1}{2} + 3^2 = 1200 + 9 = 1209&lt;/math&gt;
** Post-Flood Patriarch years:
*:&lt;math display=&quot;block&quot;&gt;\frac{7^4 + 1}{2} + (7^2 - 3^2) = 1201 + 40 = 1241&lt;/math&gt;
** Total Years:
*:&lt;math display=&quot;block&quot;&gt;7^4 + 7^2 = 2401 + 49 = 2450&lt;/math&gt;
&lt;/div&gt;

== The Samaritan Pentateuch Connection ==
Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition.

[[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]]

=== Determining Chronological Priority ===
A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem is born in year 1207 (reconstructed as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 &quot;Jubilee of Jubilees.&quot;

This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's &quot;pivot&quot; position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment.

=== The 350-Year Symmetrical Extension ===
Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a &quot;week of Jubilees&quot; (343 years) plus a &quot;week of years&quot; (7 years).

&lt;div style=&quot;line-height: 1.5;&quot;&gt;
* '''Book of Jubilees (Adam to Canaan):'''
:&lt;math display=&quot;block&quot;&gt;7^4 + 7^2 = 2401 + 49 = 2450 \text{ years}&lt;/math&gt;

* '''Samaritan Pentateuch (Adam to Conquest):'''
:&lt;math display=&quot;block&quot;&gt;\begin{aligned} \text{(Base 49): } &amp; 7^4 + 7^3 + 7^2 + 7^1 = 2401 + 343 + 49 + 7 = 2800 \\ \text{(Base 40): } &amp; 70 \times 40 = 2800 \end{aligned}&lt;/math&gt;
&lt;/div&gt;

=== Mathematical Structure of the Early Samaritan Chronology ===
To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each):

* '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''.
* '''The second cluster''' represents a second millennium.
* '''The final set''' contains 20 blocks (4x5), representing '''800 years'''.

Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record.


[[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]]

== Living in the Rough ==

[[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]]

As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a &quot;generation&quot;) are less clear, but the number is consistently associated with &quot;living in the rough&quot;—periods of trial, transition, or exile away from the comforts of civilization. 

Examples of this pattern include:
* '''Noah''' lived within the ark for 40 days while the rain fell; 
* '''Israel''' wandered in the wilderness for 40 years; 
* '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. 

Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era.

Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the &quot;civilized&quot; city.

In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means &quot;supplanter&quot;—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a &quot;skillful hunter&quot; and a &quot;man of the field,&quot; while Jacob is &quot;dwelling in tents&quot; and cooking &quot;lentil stew.&quot;

The text draws a clear parallel between these two sets of brothers:
* In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. 
* In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this &quot;clever&quot; intervention, Jacob successfully secures the favor that Cain could not.

Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. 

This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the &quot;rough&quot; of the wilderness.

Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three &quot;generations&quot; (3 x 40).

The relationship between these two &quot;three-fold&quot; lifespans can be expressed by the same nine-year offset identified in the Shem chronology:

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 49 - 9 &amp;= 40 \\
 3(49 - 9) &amp;= 3(40) \\
 147 - 27 &amp;= 120
\end{aligned}
&lt;/math&gt;

[[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] 

Samaritan tradition maintains a unique cultural link to the &quot;pastoralist&quot; ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the &quot;grain-based&quot; agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to &quot;wilderness living,&quot; the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit.

=== A narrative foil for Joshua ===
As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a &quot;foil&quot; for Jacob: Moses lived exactly three &quot;generations&quot; (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization.

This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding &quot;foil&quot; to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam?

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 49 - 9 &amp;= 40 \\
 70(49 - 9) &amp;= 70(40) \\
 3,430 - 630 &amp;= 2,800
\end{aligned}
&lt;/math&gt;

Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific &quot;foil&quot; to Joshua existed in the original architect's mind.

The Samaritans do maintain a continuous, running calendar. However, this system uses a &quot;Conquest Era&quot; epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. For instance, at that time, the [[w:Hyksos|Hyksos]] were only beginning to establish control over Lower Egypt. Furthermore, the [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC.

There is, however, one more possibility to consider: what if the &quot;irreconcilable&quot; nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent &quot;foil&quot; event occurred exactly 3,430 years after Creation? 

As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare &quot;smoking gun&quot; for the artificial design of the chronology.

=== A Mystery Solved ===
In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest.

The significant milestones in this timeline include:
* '''Year 1''': &quot;This year the world and Adam were created.&quot; 
* '''Year 2801''': &quot;The first year of Israel's rule in the land of Canaan.&quot; 
* '''Year 3423''': &quot;The commencement of the kingdom of Solomon.&quot;

According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological &quot;anchor&quot; was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself.

In Creation Year 2800—marking exactly 70 &quot;generations&quot; of 40 years—God entered Canaan in a tent, embodying the &quot;living rough&quot; wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 &quot;Jubilees&quot; of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70&lt;sup&gt;th&lt;/sup&gt; generation to the 70&lt;sup&gt;th&lt;/sup&gt; Jubilee:

:&lt;math&gt;70 \times 40 + (70 \times 9) = 70 \times 49&lt;/math&gt;

=== Mathematical Structure of the Later Samaritan Chronology ===
The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years:

* '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation.
* '''The second cluster''' spans years '''3,000 to 4,000''' after Creation.
* '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation.

The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year &quot;Tabernacle&quot; era''', which is composed of:
* The 40 years of wandering in the wilderness;
* The 6 years of the initial conquest;
* The 630 years between the conquest and the completion of Solomon’s Temple.

Following the '''676-year &quot;Tabernacle&quot; era''' is a '''400-year &quot;First Temple&quot; era''' and a '''70-year &quot;Exile&quot; era''' as detailed in the historical breakdown below.

[[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]]

The Book of Daniel states: &quot;In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it&quot; (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''.

The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure.

High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. 

Using this synchronization, other significant milestones are mapped as follows:
* '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''.
* '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''.
* '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''.

High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year &quot;Second Temple Persian Era&quot; (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. 

The remainder of the diagram represents a 300-year &quot;Second Temple Hellenistic Era,&quot; which concludes in '''Creation Year 4400''' (30 BC).

=== Competing Temples ===
There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year &quot;Second Temple Persian Era&quot; (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework.

According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple:

&lt;blockquote&gt;&quot;But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel&quot; (Ezra 4:3).&lt;/blockquote&gt;

After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population.

[[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]]

This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC.

= The Rise of Zadok =
The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years:

* '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation.
* '''The second cluster''' spans years '''3,000 to 4,000''' after Creation.
* '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation.

The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section.  Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness.  To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event.

[[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]]

The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000.

= Hellenized Jews =
Hellenized Jews were
ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint.
= Start TBD =

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! rowspan = &quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;1&quot; rowspan = &quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;2&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;3&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962
| 847
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969
| 720
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 777
| 653
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 707
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 723
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 753

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;6&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600
| rowspan=&quot;9&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438
| 538
| 535

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! style=&quot;text-align:left; color:black;&quot; | LIFESPAN&lt;br/&gt;DURATION&lt;br/&gt;SUM
| colspan=&quot;2&quot; | 12,600
| colspan=&quot;1&quot; | 11,991
| —
| colspan=&quot;1&quot; | 13,200
| colspan=&quot;1&quot; | 13,551
|}

= End TBD =

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that could result in patriarchs surviving beyond the date of the Flood.
* &lt;span style=&quot;color:#333333;&quot;&gt;'''Blank Cells'''&lt;/span&gt; indicate where primary sources do not provide specific lifespan or death data.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;&quot;
|+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son)

|-
! rowspan=&quot;2&quot; colspan=&quot;1&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Adam
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 130
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 230

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Seth
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 105
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 205

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 90
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 190

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 70
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 170

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 66
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | 65
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 165

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 61
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 162
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 62
| colspan=&quot;6&quot; style=&quot;background-color:#f9f9f9;&quot; | 162

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 65
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 165

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 65
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 187
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 67
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 167 / 187
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 167
| colspan=&quot;2&quot; style=&quot;background-color:#f9f9f9;&quot; | 187

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 55
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 182
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 53
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 182 / 188
| colspan=&quot;5&quot; style=&quot;background-color:#f9f9f9;&quot; | 188

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;9&quot; style=&quot;background-color:#e8e8e8;&quot; | 500 .. 502

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot; style=&quot;text-align:left; color:black;&quot; | Pre-Flood TOTAL
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 1556
| colspan=&quot;1&quot; | 1209
| colspan=&quot;3&quot; | Varied
| colspan=&quot;1&quot; | 2142
| colspan=&quot;1&quot; | 2162
| colspan=&quot;1&quot; | 2164
|}

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;&quot;

|+ Comparison of Post-Flood Chronological Traditions (Age at birth of son)
|-
! colspan=&quot;1&quot; rowspan=&quot;2&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot;  style=&quot;text-align:left; color:black;&quot; | Pre-Flood
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 1556
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 2164
| colspan=&quot;1&quot; | 2162
| colspan=&quot;1&quot; | 2142
| colspan=&quot;3&quot; | Varied

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 100
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 112

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Arphaxad
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 66
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 35
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 135

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Cainan II
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 57
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 130
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 130
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 71
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Eber
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 64
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 34
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 134

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 61
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 59
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 32
| colspan=&quot;5&quot; style=&quot;background-color:#e8e8e8;&quot; | 132
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 135
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Serug	
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 57
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 130
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 132

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 62
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 29
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 79
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 75
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 79 / 179
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 79
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 120

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;9&quot; style=&quot;background-color:#e8e8e8;&quot; | 70

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Abram
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 78
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 75

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Canaan
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 218
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 215

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Egypt
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 238
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 430
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 215
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 430
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 215
|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Sinai +/-
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 40
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | -
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 46
| colspan=&quot;4&quot; style=&quot;background-color:#e8e8e8;&quot; | 40

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot; style=&quot;text-align:left; color:black;&quot; | GRAND TOTAL
| colspan=&quot;1&quot; | 2450
| colspan=&quot;1&quot; | 2666
| colspan=&quot;1&quot; | 2800
| colspan=&quot;1&quot; | 3885
| colspan=&quot;1&quot; | 3754
| colspan=&quot;1&quot; | 3938
| colspan=&quot;3&quot; | Varied
|}

== The Septuagint Chronology ==

While the chronologies of the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' are anchored in Levant-based agricultural cycles and the symbolic interplay of the numbers 40 and 49, the Septuagint (LXX) appears to have been structured around a different set of priorities. Specifically, the LXX's chronological framework seems designed to resolve a significant textual difficulty: the mathematical anomaly of patriarchs potentially outliving the Flood. In the 2017 article, ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', author Paul D. makes the following statement regarding the Septuagint:

&lt;blockquote&gt;“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”&lt;/blockquote&gt;

While Paul D.’s &quot;Whoops Theory&quot; suggests the LXX editor intended to &quot;fix&quot; the timeline but failed in the case of Methuselah, this interpretation potentially overlooks the systemic nature of the changes. If an editor is methodical enough to systematically alter multiple generations by exactly one hundred years, a single &quot;failure&quot; to fix Methuselah could suggest the avoidance of a post-Flood death was not the primary objective.

Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': 

&lt;blockquote&gt;&quot;Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years.&quot;&lt;/blockquote&gt; 

This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development.

=== Demetrius the Chronographer ===
Demetrius the Chronographer, writing as early as the late 3rd century BC (c. 221 BC), represents the earliest known witness to biblical chronological calculations. While only fragments of his work remain, they are significant; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. This presumably places the birth of Shem at 2,164 years—exactly one hundred years before the Flood—aligning his data with the &quot;Long Chronology&quot; of the Septuagint.

In the comment section of the original article, in response to evidence regarding this longer tradition (provided by commenter Roger Quill), Paul D. reaffirms his &quot;Whoops Theory&quot; by challenging the validity of various witnesses to the 187-year begettal age of Methuselah. In this view, Codex Alexandrinus is seen as the lone legitimate witness, while others are discounted: 

* '''Josephus:''' Characterized as dependent on the Masoretic tradition.
* '''Pseudo-Philo:''' Dismissed due to textual corruption (&quot;a real mess&quot;).
* '''Julius Africanus:''' Questioned because his records survive only through the later intermediary, Syncellus.
* '''Demetrius:''' Rejected as a witness because his chronology contains an additional 22 years (rather than the typical 20-year variance) whose precise placement remains unknown.

The claim that Julius Africanus is invalidated due to his survival through an intermediary, or that Demetrius is disqualified by a 22-year variance, is arguably overstated. A plausible explanation for the discrepancy in Demetrius's chronology is the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can easily account for such variances without necessitating the rejection of the witnesses.

=== The Correlations ===
An interesting piece of corroborating evidence exists in the previously mentioned 1864 publication by Rev. John Mills, ''Three Months' Residence at Nablus'', where High Priest Amram records his own chronological dates based on the Samaritan Pentateuch. Priest Amram lists the Flood date as 1307 years after creation, but then lists the birth of Arphaxad as 1309 years—exactly two years after the Flood—which presumably places Shem's birth in year 502 of Noah's life (though Shem's actual birth date in the text is obscured by a typo).

The internal tension in Priest Amram's calculations likely reflects the same two-year variance seen between Demetrius and Africanus. Priest Amram lists the birth years of Shelah, Eber, and Peleg as 1444, 1574, and 1708, respectively. Africanus lists those same birth years as 2397, 2527, and 2661. In each case, the Priest Amram figure differs from the Africanus value by exactly 953 years. While the chronology of Africanus may reach us through an intermediary, as Paul D. notes, the values provided by both Demetrius and Africanus are precisely what one would anticipate to resolve the &quot;Universal Flood&quot; problem.


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      <text bytes="86354" sha1="6dcby4067jv2j0j9xeflvcvn3k57mop" xml:space="preserve">{{Original research}}
This page evaluates and extends the mathematical insights presented in the 2017 article, ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'' by Paul D. While the original article provides a compelling foundation, this analysis identifies areas where the underlying data and mathematical evidence are more robust than initially presented. The following sections aim to clarify these findings and offer a more precise structural framework.

== Summary of Main Arguments ==
The ages of the patriarchs in Genesis are not intended as historical records, but as a complex symbolic mathematical structure designed by ancient authors. Key points include:

* '''Artificial Mathematical Design:''' Patriarchal ages and event years are based on symbolic or &quot;perfect&quot; numbers (such as 7, 49, and 60) rather than biological or historical reality.
* '''Alignment with Sacred Cycles:''' The chronologies are designed to align significant events—such as the Exodus and the dedication of Solomon’s Temple—with specific &quot;years of the world&quot; (''Anno Mundi''), synchronizing human history with a divine calendar.
* '''The Universal Flood as a Later Insertion:''' Evidence suggests the universal scope of Noah's Flood was a later addition to a patriarchal foundation story. This insertion disrupted the original timelines, forcing recalibrations in the Masoretic Text (MT), Samaritan Pentateuch (SP), and Septuagint (LXX) to avoid chronological contradictions.
* '''Chronological Overlaps:''' In the original numerical framework (prior to recalibration for a universal flood), the mathematical structures resulted in overlaps where certain patriarchs, such as Methuselah, survived beyond the date of the Flood.

= Arichat Yamim =

Most of the patriarchs' lifespans in the Hebrew Bible far exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101).

This phenomenon is difficult to explain, as no known ancient number system features &quot;101&quot; as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle.
 
In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a &quot;perfect&quot; Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows:

*:&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
\frac{7\,\text{šar}}{2} &amp;= 3\,\text{šar}\,\,30\,\text{šūši}  \\ 
&amp;= \left(3 \times 60^2 \, \text{years} \right) + \left(30 \times 60^1 \,\text{years} \right) \\ 
&amp;= 10,800 \, \text{years} + 1,800 \, \text{years} \\
&amp;= 12,600 \, \text{years}
\end{aligned}
&lt;/math&gt;

This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60).

==== Prototype 1: Initial &quot;Mesopotamian&quot; Allocation ====

----

&lt;div style=&quot;background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;&quot;&gt;
The initial &quot;PT1&quot; framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''):

* '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49).
* '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''.
* '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920).
&lt;/div&gt;

----

==== Prototype 2: Refined &quot;Jubilee&quot; Allocation ====

----

&lt;div style=&quot;background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;&quot;&gt;
Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the &quot;Remainder&quot; to each of the two primary groups. This resulted in the &quot;PT2&quot; figures as follows:

* '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees).
* '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees).
* '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949).
&lt;/div&gt;

----

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that result in a patriarch surviving beyond the date of the Flood.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e0f2f1; border-bottom:2px solid #009688;&quot; | PROTOTYPE 1&lt;br/&gt;(PT1)
! colspan=&quot;3&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PROTOTYPE 2&lt;br/&gt;(PT2)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;82 šūši&lt;br/&gt;(4920)&lt;/div&gt;
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;45 šūši&lt;br/&gt;(2700)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;4949&lt;/div&gt;
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2727&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 912

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 905

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 910

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;37 šūši&lt;br/&gt;(2220)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2222&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 895

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 6 (360)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot;  | Methuselah
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;46 šūši&lt;br/&gt;(2760)&lt;/div&gt;
| rowspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;32 šūši&lt;br/&gt;(1920)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2702&lt;/div&gt;
| rowspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1919&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 14 (880)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 14 (840)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam
| rowspan=&quot;18&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;82 šūši&lt;br/&gt;(4920)&lt;/div&gt;
| rowspan=&quot;5&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;40 šūši&lt;br/&gt;(2400)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 16 (960)
| rowspan=&quot;18&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;4949&lt;/div&gt;
| rowspan=&quot;5&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2401&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 930

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 10 (600)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 7 (420)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Cainan (II)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 7 (420)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 433

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Eber
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;25 šūši&lt;br/&gt;(1500)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 8 (480)
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1525&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 464

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 4 (240)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 4 (240)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Serug
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 230

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 148

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Abraham
| rowspan=&quot;7&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;17 šūši&lt;br/&gt;(1020)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| rowspan=&quot;7&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1023&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 175

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Isaac
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jacob
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 147

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Levi
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kohath
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Amram
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 131

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Moses
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 120

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! style=&quot;text-align:left; color:black;&quot; | LIFESPAN&lt;br/&gt;DURATION&lt;br/&gt;SUM
| colspan=&quot;6&quot; | 210 šūši&lt;br/&gt;(12,600 years)
|}

== PT2 as the Base Model for Patriarchal Chronologies ==
The &quot;PT2&quot; chronology serves as the foundational model from which subsequent patriarchal lifespans in various textual traditions were derived. Evidence for this remains visible across nearly all biblical records, as they consistently preserve the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1).

* '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost.
* '''The Masoretic Text (MT):''' This tradition shifted 6 years from the &quot;Remainder&quot; to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block.
* '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši'''''.
* '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence.

The use of rounded Mesopotamian figures in the Armenian Eusebius Chronology suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the Septuagint's divergence indicates a later development—likely in Alexandria—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;

|+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum)
|-
! rowspan=&quot;2&quot; | Patriarch Groups
! rowspan=&quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;2&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;3&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! style=&quot;background-color:#e3f2fd;&quot; | Masoretic&lt;br/&gt;(MT)
! style=&quot;background-color:#e3f2fd;&quot; | Samaritan&lt;br/&gt;(SP)
! style=&quot;background-color:#fff3e0;&quot; | Josephus&lt;br/&gt;(94 AD)
! style=&quot;background-color:#fff3e0;&quot; | Eusebius&lt;br/&gt;(325 AD)
! style=&quot;background-color:#fff3e0;&quot; | Septuagint&lt;br/&gt;(LXX)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth to Enoch&lt;br/&gt;&lt;small&gt;(6 Patriarchs)&lt;/small&gt;
| colspan=&quot;2&quot; style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
| style=&quot;background-color:#f9f9f9;&quot; | 4834&lt;br/&gt;&lt;small&gt;(4949 - 115)&lt;/small&gt;
| colspan=&quot;3&quot; style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
|-

| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah, Lamech, Noah&lt;br/&gt;&lt;small&gt;(The Remainder)&lt;/small&gt;
| style=&quot;font-weight:bold; background-color:#f9f9f9;&quot; | 2702
| style=&quot;background-color:#f9f9f9;&quot; | 2696&lt;br/&gt;&lt;small&gt;(2702 - 6)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2323&lt;br/&gt;&lt;small&gt;(2702 - 379)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2626&lt;br/&gt;&lt;small&gt;(2702 - 76)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2642&lt;br/&gt;&lt;small&gt;(2702 - 60)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2672&lt;br/&gt;&lt;small&gt;(2702 - 30)&lt;/small&gt;
|-

| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam &amp; Shem to Moses&lt;br/&gt;&lt;small&gt;(The &quot;Second Half&quot;)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
| style=&quot;background-color:#f9f9f9;&quot; | 4955&lt;br/&gt;&lt;small&gt;(4949 + 6)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 4834&lt;br/&gt;&lt;small&gt;(4949 - 115)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | —
| style=&quot;background-color:#f9f9f9;&quot; | 5609&lt;br/&gt;&lt;small&gt;(4949 + 660)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 5930&lt;br/&gt;&lt;small&gt;(4949 + 981)&lt;/small&gt;

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:14px;&quot;
! LIFESPAN DURATION SUM
| colspan=&quot;2&quot; | 12,600
| 11,991
| —
| 13,200
| 13,551
|}
&lt;small&gt;* '''Dash (—)''' indicates where primary sources do not provide complete death data.&lt;/small&gt;

== Comparative Chronology Tables ==

The following table reconstructs lifespan values across multiple chronological traditions. While most values are derived directly from the primary source texts listed in the header, the '''Armenian Eusebius''' chronology does not explicitly record the lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that result in a patriarch surviving beyond the date of the Flood.
* &lt;span style=&quot;color:#333333;&quot;&gt;'''Blank Cells'''&lt;/span&gt; indicate where primary sources do not provide specific lifespan or death data.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! rowspan = &quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;1&quot; rowspan = &quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;2&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;3&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 912

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 905

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 910

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 895

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962
| 847
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969
| 720
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;6&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 777
| 653
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 707
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 723
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 753

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 930

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600
| rowspan=&quot;9&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438
| 538
| 535

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Cainan (II)
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —
| —
| 460

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 433
| 536
| 460

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Eber
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 464
| 404
| 567
| colspan=&quot;2&quot; | 404

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239
| colspan=&quot;2&quot; | 339

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239
| 342
| 339

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Serug
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 230
| colspan=&quot;2&quot; | 330

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 148
| 198
| 304

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205
| 145
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Abraham
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 175

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Isaac
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180
| 185
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jacob
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 147

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Levi
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137
| rowspan=&quot;3&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kohath
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Amram
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 131
| 137
| 136
| colspan=&quot;2&quot; | 132

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Moses
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 120

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! style=&quot;text-align:left; color:black;&quot; | LIFESPAN&lt;br/&gt;DURATION&lt;br/&gt;SUM
| colspan=&quot;2&quot; | 12,600
| colspan=&quot;1&quot; | 11,991
| —
| colspan=&quot;1&quot; | 13,200
| colspan=&quot;1&quot; | 13,551
|}

=== Samaritan Adjustments ===
Four of the pre-flood patriarchs—Jared, Methuselah, Lamech, and Noah—are credited with exceptionally long lives late in the chronology, which creates a potential overlap where these four patriarchs appear to survive Noah's flood. As shown in the above table, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. Other traditions do not employ this specific reduction, but all must address the issue of flood survival, as explained in later sections.

The required reduction in Jared's lifespan was '''115 years'''. Interestingly, as noted in the previous section, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the &quot;Group 1&quot; and &quot;Group 2&quot; patriarchs.

Specifically, this balance was achieved through the following adjustments:
* '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each).
* '''Amram's''' lifespan was increased by five years.

This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing.

=== Masoretic Adjustments ===

In the 2017 article, &quot;[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs],&quot; Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition:

&lt;blockquote&gt;&quot;The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)&quot;&lt;/blockquote&gt;

While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late &quot;tweak&quot; in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges:

&lt;blockquote&gt;&quot;Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above.&quot;&lt;/blockquote&gt;

==== ''Lectio Difficilior Potior'' ====
The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the &quot;harder reading is stronger&quot;) suggests that scribes tend to simplify or &quot;smooth&quot; texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life.

In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges:

* '''Year 500 (of Noah):''' Shem is born.
* '''Year 600 (of Noah):''' The Flood occurs.
* '''Year 700 (of Noah):''' Lamech dies.

This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a &quot;compressed chronology&quot; (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (53, 653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''183 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate &quot;balancing&quot; of total chronological years.

=== Armenian Eusebius Adjustments ===
Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 220 ''šūši'' (or 10 ''šūši'' more than the Masoretic Text). Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system.

Specifically, the following adjustments appear to have occurred for Group 2 patriarchs:
* '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years.
* '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years.
* '''Nahor''' had his lifespan increased by 50 years.
* '''Amram''' had his lifespan increased by 1 year.

The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''.

= It All Started With Grain =

[[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]]

The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the [https://www.biblicalarchaeology.org/daily/news/ancient-bread-jordan/ Black Desert of Jordan]. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops.

The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the &quot;firstfruits of your harvest&quot; (referring to barley) before the Lord:

&lt;blockquote&gt;&quot;then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord&quot;&lt;/blockquote&gt;

To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues:

&lt;blockquote&gt;&quot;And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord.&quot;&lt;/blockquote&gt;

[[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]]

These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the &quot;better things&quot; and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.

This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: 

&lt;blockquote&gt;&quot;And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye &lt;small&gt;(likely emmer wheat or spelt)&lt;/small&gt; were not smitten: for they were not grown up.&quot;&lt;/blockquote&gt;

This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. 

The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest).

=== The Mathematical Structure of Jubilees ===

The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of &quot;weeks&quot;:

* '''Week of Years:''' 7&lt;sup&gt;1&lt;/sup&gt; = 7 years
* '''Jubilee of Years:''' 7&lt;sup&gt;2&lt;/sup&gt; = 49 years
* '''Week of Jubilees:''' 7&lt;sup&gt;3&lt;/sup&gt; = 343 years
* '''Jubilee of Jubilees:''' 7&lt;sup&gt;4&lt;/sup&gt; = 2,401 years

The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land.

[[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]]

The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested &quot;Jubilee of Jubilees&quot; (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle.

* The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year.
* The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years.
* The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid.
* The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs.

== The Birth of Shem (A Digression) ==
Were Noah's sons born when Noah was 500 or 502?

==== The 502 Calculation ====
While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that &quot;Noah was 500 years old, and Noah begat Shem, Ham, and Japheth,&quot; this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: 
# Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). 
# Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10])

'''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples.

==== Competing Narratives ====
According to the Book of Jubilees 4:33, Shem was the oldest son, born in Noah's 500&lt;sup&gt;th&lt;/sup&gt; year, followed by Ham in the 502&lt;sup&gt;nd&lt;/sup&gt; year, and Japheth in the 505&lt;sup&gt;th&lt;/sup&gt;. This seems to be in contradiction with the Genesis narrative which places Shem as the second son in year 502.

==== ''Lectio Difficilior Potior'' ====

The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the harder reading is stronger) suggests that scribes tend to simplify or &quot;smooth&quot; texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life.

In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28%7Cversion=SPE Lamech’s 53rd year]. If we combine that with the 500-year figure for Noah's age at the birth of his sons and the [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB Septuagint figure of 753] for Lamech's death, a suspiciously neat pattern emerges:

* '''Year 500 (of Noah):''' Shem is born.
* '''Year 600 (of Noah):''' The Flood occurs.
* '''Year 700 (of Noah):''' Lamech dies.

This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a &quot;compressed chronology&quot; (500–600–700) is a hallmark of editorial smoothing—likely values adjusted during the introduction of the universal flood narrative to create a more &quot;perfect&quot; structure.

Applying ''Lectio Difficilior'', we can reasonably set aside the figures 53, 500, and 753 as being &quot;too structured to be true,&quot; shifting our focus to less symmetrical values such as '''502''' for Shem's birth.

== The Mathematical relationship between 40 and 49 ==

As noted previously, the ''Jubilees'' author envisions early Hebraic history within a &quot;Jubilee of Jubilees&quot; fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows:

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 (7-3)(7+3) &amp;=  7^2 - 3^2 \\
 &amp;= 49 - 9 \\
 &amp;= 40
\end{aligned}
&lt;/math&gt;

The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40.

[[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] 

Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years):

[[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]]

&lt;div style=&quot;line-height: 1.5;&quot;&gt;
* '''Book of Jubilees (Adam to Canaan)'''
** Pre-Flood Patriarch years:
*:&lt;math display=&quot;block&quot;&gt;\frac{7^4 - 1}{2} + 3^2 = 1200 + 9 = 1209&lt;/math&gt;
** Post-Flood Patriarch years:
*:&lt;math display=&quot;block&quot;&gt;\frac{7^4 + 1}{2} + (7^2 - 3^2) = 1201 + 40 = 1241&lt;/math&gt;
** Total Years:
*:&lt;math display=&quot;block&quot;&gt;7^4 + 7^2 = 2401 + 49 = 2450&lt;/math&gt;
&lt;/div&gt;

== The Samaritan Pentateuch Connection ==
Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition.

[[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]]

=== Determining Chronological Priority ===
A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem is born in year 1207 (reconstructed as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 &quot;Jubilee of Jubilees.&quot;

This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's &quot;pivot&quot; position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment.

=== The 350-Year Symmetrical Extension ===
Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a &quot;week of Jubilees&quot; (343 years) plus a &quot;week of years&quot; (7 years).

&lt;div style=&quot;line-height: 1.5;&quot;&gt;
* '''Book of Jubilees (Adam to Canaan):'''
:&lt;math display=&quot;block&quot;&gt;7^4 + 7^2 = 2401 + 49 = 2450 \text{ years}&lt;/math&gt;

* '''Samaritan Pentateuch (Adam to Conquest):'''
:&lt;math display=&quot;block&quot;&gt;\begin{aligned} \text{(Base 49): } &amp; 7^4 + 7^3 + 7^2 + 7^1 = 2401 + 343 + 49 + 7 = 2800 \\ \text{(Base 40): } &amp; 70 \times 40 = 2800 \end{aligned}&lt;/math&gt;
&lt;/div&gt;

=== Mathematical Structure of the Early Samaritan Chronology ===
To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each):

* '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''.
* '''The second cluster''' represents a second millennium.
* '''The final set''' contains 20 blocks (4x5), representing '''800 years'''.

Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record.


[[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]]

== Living in the Rough ==

[[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]]

As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a &quot;generation&quot;) are less clear, but the number is consistently associated with &quot;living in the rough&quot;—periods of trial, transition, or exile away from the comforts of civilization. 

Examples of this pattern include:
* '''Noah''' lived within the ark for 40 days while the rain fell; 
* '''Israel''' wandered in the wilderness for 40 years; 
* '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. 

Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era.

Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the &quot;civilized&quot; city.

In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means &quot;supplanter&quot;—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a &quot;skillful hunter&quot; and a &quot;man of the field,&quot; while Jacob is &quot;dwelling in tents&quot; and cooking &quot;lentil stew.&quot;

The text draws a clear parallel between these two sets of brothers:
* In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. 
* In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this &quot;clever&quot; intervention, Jacob successfully secures the favor that Cain could not.

Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. 

This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the &quot;rough&quot; of the wilderness.

Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three &quot;generations&quot; (3 x 40).

The relationship between these two &quot;three-fold&quot; lifespans can be expressed by the same nine-year offset identified in the Shem chronology:

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 49 - 9 &amp;= 40 \\
 3(49 - 9) &amp;= 3(40) \\
 147 - 27 &amp;= 120
\end{aligned}
&lt;/math&gt;

[[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] 

Samaritan tradition maintains a unique cultural link to the &quot;pastoralist&quot; ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the &quot;grain-based&quot; agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to &quot;wilderness living,&quot; the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit.

=== A narrative foil for Joshua ===
As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a &quot;foil&quot; for Jacob: Moses lived exactly three &quot;generations&quot; (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization.

This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding &quot;foil&quot; to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam?

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 49 - 9 &amp;= 40 \\
 70(49 - 9) &amp;= 70(40) \\
 3,430 - 630 &amp;= 2,800
\end{aligned}
&lt;/math&gt;

Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific &quot;foil&quot; to Joshua existed in the original architect's mind.

The Samaritans do maintain a continuous, running calendar. However, this system uses a &quot;Conquest Era&quot; epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. For instance, at that time, the [[w:Hyksos|Hyksos]] were only beginning to establish control over Lower Egypt. Furthermore, the [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC.

There is, however, one more possibility to consider: what if the &quot;irreconcilable&quot; nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent &quot;foil&quot; event occurred exactly 3,430 years after Creation? 

As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare &quot;smoking gun&quot; for the artificial design of the chronology.

=== A Mystery Solved ===
In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest.

The significant milestones in this timeline include:
* '''Year 1''': &quot;This year the world and Adam were created.&quot; 
* '''Year 2801''': &quot;The first year of Israel's rule in the land of Canaan.&quot; 
* '''Year 3423''': &quot;The commencement of the kingdom of Solomon.&quot;

According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological &quot;anchor&quot; was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself.

In Creation Year 2800—marking exactly 70 &quot;generations&quot; of 40 years—God entered Canaan in a tent, embodying the &quot;living rough&quot; wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 &quot;Jubilees&quot; of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70&lt;sup&gt;th&lt;/sup&gt; generation to the 70&lt;sup&gt;th&lt;/sup&gt; Jubilee:

:&lt;math&gt;70 \times 40 + (70 \times 9) = 70 \times 49&lt;/math&gt;

=== Mathematical Structure of the Later Samaritan Chronology ===
The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years:

* '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation.
* '''The second cluster''' spans years '''3,000 to 4,000''' after Creation.
* '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation.

The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year &quot;Tabernacle&quot; era''', which is composed of:
* The 40 years of wandering in the wilderness;
* The 6 years of the initial conquest;
* The 630 years between the conquest and the completion of Solomon’s Temple.

Following the '''676-year &quot;Tabernacle&quot; era''' is a '''400-year &quot;First Temple&quot; era''' and a '''70-year &quot;Exile&quot; era''' as detailed in the historical breakdown below.

[[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]]

The Book of Daniel states: &quot;In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it&quot; (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''.

The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure.

High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. 

Using this synchronization, other significant milestones are mapped as follows:
* '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''.
* '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''.
* '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''.

High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year &quot;Second Temple Persian Era&quot; (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. 

The remainder of the diagram represents a 300-year &quot;Second Temple Hellenistic Era,&quot; which concludes in '''Creation Year 4400''' (30 BC).

=== Competing Temples ===
There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year &quot;Second Temple Persian Era&quot; (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework.

According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple:

&lt;blockquote&gt;&quot;But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel&quot; (Ezra 4:3).&lt;/blockquote&gt;

After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population.

[[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]]

This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC.

= The Rise of Zadok =
The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years:

* '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation.
* '''The second cluster''' spans years '''3,000 to 4,000''' after Creation.
* '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation.

The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section.  Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness.  To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event.

[[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]]

The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000.

= Hellenized Jews =
Hellenized Jews were
ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint.
= Start TBD =

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! rowspan = &quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;1&quot; rowspan = &quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;2&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;3&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962
| 847
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969
| 720
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 777
| 653
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 707
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 723
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 753

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;6&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600
| rowspan=&quot;9&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438
| 538
| 535

|}

= End TBD =

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that could result in patriarchs surviving beyond the date of the Flood.
* &lt;span style=&quot;color:#333333;&quot;&gt;'''Blank Cells'''&lt;/span&gt; indicate where primary sources do not provide specific lifespan or death data.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;&quot;
|+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son)

|-
! rowspan=&quot;2&quot; colspan=&quot;1&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Adam
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 130
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 230

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Seth
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 105
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 205

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 90
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 190

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 70
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 170

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 66
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | 65
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 165

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 61
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 162
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 62
| colspan=&quot;6&quot; style=&quot;background-color:#f9f9f9;&quot; | 162

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 65
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 165

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 65
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 187
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 67
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 167 / 187
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 167
| colspan=&quot;2&quot; style=&quot;background-color:#f9f9f9;&quot; | 187

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 55
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 182
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 53
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 182 / 188
| colspan=&quot;5&quot; style=&quot;background-color:#f9f9f9;&quot; | 188

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;9&quot; style=&quot;background-color:#e8e8e8;&quot; | 500 .. 502

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot; style=&quot;text-align:left; color:black;&quot; | Pre-Flood TOTAL
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 1556
| colspan=&quot;1&quot; | 1209
| colspan=&quot;3&quot; | Varied
| colspan=&quot;1&quot; | 2142
| colspan=&quot;1&quot; | 2162
| colspan=&quot;1&quot; | 2164
|}

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;&quot;

|+ Comparison of Post-Flood Chronological Traditions (Age at birth of son)
|-
! colspan=&quot;1&quot; rowspan=&quot;2&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot;  style=&quot;text-align:left; color:black;&quot; | Pre-Flood
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 1556
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 2164
| colspan=&quot;1&quot; | 2162
| colspan=&quot;1&quot; | 2142
| colspan=&quot;3&quot; | Varied

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 100
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 112

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Arphaxad
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 66
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 35
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 135

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Cainan II
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 57
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 130
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 130
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 71
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Eber
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 64
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 34
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 134

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 61
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 59
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 32
| colspan=&quot;5&quot; style=&quot;background-color:#e8e8e8;&quot; | 132
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 135
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Serug	
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 57
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 130
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 132

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 62
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 29
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 79
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 75
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 79 / 179
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 79
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 120

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;9&quot; style=&quot;background-color:#e8e8e8;&quot; | 70

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Abram
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 78
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 75

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Canaan
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 218
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 215

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Egypt
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 238
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 430
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 215
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 430
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 215
|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Sinai +/-
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 40
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | -
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 46
| colspan=&quot;4&quot; style=&quot;background-color:#e8e8e8;&quot; | 40

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot; style=&quot;text-align:left; color:black;&quot; | GRAND TOTAL
| colspan=&quot;1&quot; | 2450
| colspan=&quot;1&quot; | 2666
| colspan=&quot;1&quot; | 2800
| colspan=&quot;1&quot; | 3885
| colspan=&quot;1&quot; | 3754
| colspan=&quot;1&quot; | 3938
| colspan=&quot;3&quot; | Varied
|}

== The Septuagint Chronology ==

While the chronologies of the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' are anchored in Levant-based agricultural cycles and the symbolic interplay of the numbers 40 and 49, the Septuagint (LXX) appears to have been structured around a different set of priorities. Specifically, the LXX's chronological framework seems designed to resolve a significant textual difficulty: the mathematical anomaly of patriarchs potentially outliving the Flood. In the 2017 article, ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', author Paul D. makes the following statement regarding the Septuagint:

&lt;blockquote&gt;“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”&lt;/blockquote&gt;

While Paul D.’s &quot;Whoops Theory&quot; suggests the LXX editor intended to &quot;fix&quot; the timeline but failed in the case of Methuselah, this interpretation potentially overlooks the systemic nature of the changes. If an editor is methodical enough to systematically alter multiple generations by exactly one hundred years, a single &quot;failure&quot; to fix Methuselah could suggest the avoidance of a post-Flood death was not the primary objective.

Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': 

&lt;blockquote&gt;&quot;Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years.&quot;&lt;/blockquote&gt; 

This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development.

=== Demetrius the Chronographer ===
Demetrius the Chronographer, writing as early as the late 3rd century BC (c. 221 BC), represents the earliest known witness to biblical chronological calculations. While only fragments of his work remain, they are significant; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. This presumably places the birth of Shem at 2,164 years—exactly one hundred years before the Flood—aligning his data with the &quot;Long Chronology&quot; of the Septuagint.

In the comment section of the original article, in response to evidence regarding this longer tradition (provided by commenter Roger Quill), Paul D. reaffirms his &quot;Whoops Theory&quot; by challenging the validity of various witnesses to the 187-year begettal age of Methuselah. In this view, Codex Alexandrinus is seen as the lone legitimate witness, while others are discounted: 

* '''Josephus:''' Characterized as dependent on the Masoretic tradition.
* '''Pseudo-Philo:''' Dismissed due to textual corruption (&quot;a real mess&quot;).
* '''Julius Africanus:''' Questioned because his records survive only through the later intermediary, Syncellus.
* '''Demetrius:''' Rejected as a witness because his chronology contains an additional 22 years (rather than the typical 20-year variance) whose precise placement remains unknown.

The claim that Julius Africanus is invalidated due to his survival through an intermediary, or that Demetrius is disqualified by a 22-year variance, is arguably overstated. A plausible explanation for the discrepancy in Demetrius's chronology is the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can easily account for such variances without necessitating the rejection of the witnesses.

=== The Correlations ===
An interesting piece of corroborating evidence exists in the previously mentioned 1864 publication by Rev. John Mills, ''Three Months' Residence at Nablus'', where High Priest Amram records his own chronological dates based on the Samaritan Pentateuch. Priest Amram lists the Flood date as 1307 years after creation, but then lists the birth of Arphaxad as 1309 years—exactly two years after the Flood—which presumably places Shem's birth in year 502 of Noah's life (though Shem's actual birth date in the text is obscured by a typo).

The internal tension in Priest Amram's calculations likely reflects the same two-year variance seen between Demetrius and Africanus. Priest Amram lists the birth years of Shelah, Eber, and Peleg as 1444, 1574, and 1708, respectively. Africanus lists those same birth years as 2397, 2527, and 2661. In each case, the Priest Amram figure differs from the Africanus value by exactly 953 years. While the chronology of Africanus may reach us through an intermediary, as Paul D. notes, the values provided by both Demetrius and Africanus are precisely what one would anticipate to resolve the &quot;Universal Flood&quot; problem.


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      <text bytes="86354" sha1="ihpixonrshzj1tdlorlt480wfpkoulw" xml:space="preserve">{{Original research}}
This page evaluates and extends the mathematical insights presented in the 2017 article, ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'' by Paul D. While the original article provides a compelling foundation, this analysis identifies areas where the underlying data and mathematical evidence are more robust than initially presented. The following sections aim to clarify these findings and offer a more precise structural framework.

== Summary of Main Arguments ==
The ages of the patriarchs in Genesis are not intended as historical records, but as a complex symbolic mathematical structure designed by ancient authors. Key points include:

* '''Artificial Mathematical Design:''' Patriarchal ages and event years are based on symbolic or &quot;perfect&quot; numbers (such as 7, 49, and 60) rather than biological or historical reality.
* '''Alignment with Sacred Cycles:''' The chronologies are designed to align significant events—such as the Exodus and the dedication of Solomon’s Temple—with specific &quot;years of the world&quot; (''Anno Mundi''), synchronizing human history with a divine calendar.
* '''The Universal Flood as a Later Insertion:''' Evidence suggests the universal scope of Noah's Flood was a later addition to a patriarchal foundation story. This insertion disrupted the original timelines, forcing recalibrations in the Masoretic Text (MT), Samaritan Pentateuch (SP), and Septuagint (LXX) to avoid chronological contradictions.
* '''Chronological Overlaps:''' In the original numerical framework (prior to recalibration for a universal flood), the mathematical structures resulted in overlaps where certain patriarchs, such as Methuselah, survived beyond the date of the Flood.

= Arichat Yamim =

Most of the patriarchs' lifespans in the Hebrew Bible far exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101).

This phenomenon is difficult to explain, as no known ancient number system features &quot;101&quot; as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle.
 
In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a &quot;perfect&quot; Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows:

*:&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
\frac{7\,\text{šar}}{2} &amp;= 3\,\text{šar}\,\,30\,\text{šūši}  \\ 
&amp;= \left(3 \times 60^2 \, \text{years} \right) + \left(30 \times 60^1 \,\text{years} \right) \\ 
&amp;= 10,800 \, \text{years} + 1,800 \, \text{years} \\
&amp;= 12,600 \, \text{years}
\end{aligned}
&lt;/math&gt;

This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60).

==== Prototype 1: Initial &quot;Mesopotamian&quot; Allocation ====

----

&lt;div style=&quot;background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;&quot;&gt;
The initial &quot;PT1&quot; framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''):

* '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49).
* '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''.
* '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920).
&lt;/div&gt;

----

==== Prototype 2: Refined &quot;Jubilee&quot; Allocation ====

----

&lt;div style=&quot;background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;&quot;&gt;
Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the &quot;Remainder&quot; to each of the two primary groups. This resulted in the &quot;PT2&quot; figures as follows:

* '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees).
* '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees).
* '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949).
&lt;/div&gt;

----

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that result in a patriarch surviving beyond the date of the Flood.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e0f2f1; border-bottom:2px solid #009688;&quot; | PROTOTYPE 1&lt;br/&gt;(PT1)
! colspan=&quot;3&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PROTOTYPE 2&lt;br/&gt;(PT2)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;82 šūši&lt;br/&gt;(4920)&lt;/div&gt;
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;45 šūši&lt;br/&gt;(2700)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;4949&lt;/div&gt;
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2727&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 912

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 905

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 910

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;37 šūši&lt;br/&gt;(2220)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2222&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 895

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 6 (360)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot;  | Methuselah
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;46 šūši&lt;br/&gt;(2760)&lt;/div&gt;
| rowspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;32 šūši&lt;br/&gt;(1920)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2702&lt;/div&gt;
| rowspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1919&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 14 (880)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 14 (840)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam
| rowspan=&quot;18&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;82 šūši&lt;br/&gt;(4920)&lt;/div&gt;
| rowspan=&quot;5&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;40 šūši&lt;br/&gt;(2400)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 16 (960)
| rowspan=&quot;18&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;4949&lt;/div&gt;
| rowspan=&quot;5&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2401&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 930

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 10 (600)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 7 (420)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Cainan (II)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 7 (420)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 433

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Eber
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;25 šūši&lt;br/&gt;(1500)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 8 (480)
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1525&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 464

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 4 (240)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 4 (240)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Serug
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 230

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 148

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Abraham
| rowspan=&quot;7&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;17 šūši&lt;br/&gt;(1020)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| rowspan=&quot;7&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1023&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 175

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Isaac
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jacob
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 147

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Levi
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kohath
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Amram
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 131

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Moses
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 120

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! style=&quot;text-align:left; color:black;&quot; | LIFESPAN&lt;br/&gt;DURATION&lt;br/&gt;SUM
| colspan=&quot;6&quot; | 210 šūši&lt;br/&gt;(12,600 years)
|}

== PT2 as the Base Model for Patriarchal Chronologies ==
The &quot;PT2&quot; chronology serves as the foundational model from which subsequent patriarchal lifespans in various textual traditions were derived. Evidence for this remains visible across nearly all biblical records, as they consistently preserve the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1).

* '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost.
* '''The Masoretic Text (MT):''' This tradition shifted 6 years from the &quot;Remainder&quot; to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block.
* '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši'''''.
* '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence.

The use of rounded Mesopotamian figures in the Armenian Eusebius Chronology suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the Septuagint's divergence indicates a later development—likely in Alexandria—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;

|+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum)
|-
! rowspan=&quot;2&quot; | Patriarch Groups
! rowspan=&quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;2&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;3&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! style=&quot;background-color:#e3f2fd;&quot; | Masoretic&lt;br/&gt;(MT)
! style=&quot;background-color:#e3f2fd;&quot; | Samaritan&lt;br/&gt;(SP)
! style=&quot;background-color:#fff3e0;&quot; | Josephus&lt;br/&gt;(94 AD)
! style=&quot;background-color:#fff3e0;&quot; | Eusebius&lt;br/&gt;(325 AD)
! style=&quot;background-color:#fff3e0;&quot; | Septuagint&lt;br/&gt;(LXX)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth to Enoch&lt;br/&gt;&lt;small&gt;(6 Patriarchs)&lt;/small&gt;
| colspan=&quot;2&quot; style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
| style=&quot;background-color:#f9f9f9;&quot; | 4834&lt;br/&gt;&lt;small&gt;(4949 - 115)&lt;/small&gt;
| colspan=&quot;3&quot; style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
|-

| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah, Lamech, Noah&lt;br/&gt;&lt;small&gt;(The Remainder)&lt;/small&gt;
| style=&quot;font-weight:bold; background-color:#f9f9f9;&quot; | 2702
| style=&quot;background-color:#f9f9f9;&quot; | 2696&lt;br/&gt;&lt;small&gt;(2702 - 6)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2323&lt;br/&gt;&lt;small&gt;(2702 - 379)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2626&lt;br/&gt;&lt;small&gt;(2702 - 76)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2642&lt;br/&gt;&lt;small&gt;(2702 - 60)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2672&lt;br/&gt;&lt;small&gt;(2702 - 30)&lt;/small&gt;
|-

| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam &amp; Shem to Moses&lt;br/&gt;&lt;small&gt;(The &quot;Second Half&quot;)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
| style=&quot;background-color:#f9f9f9;&quot; | 4955&lt;br/&gt;&lt;small&gt;(4949 + 6)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 4834&lt;br/&gt;&lt;small&gt;(4949 - 115)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | —
| style=&quot;background-color:#f9f9f9;&quot; | 5609&lt;br/&gt;&lt;small&gt;(4949 + 660)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 5930&lt;br/&gt;&lt;small&gt;(4949 + 981)&lt;/small&gt;

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:14px;&quot;
! LIFESPAN DURATION SUM
| colspan=&quot;2&quot; | 12,600
| 11,991
| —
| 13,200
| 13,551
|}
&lt;small&gt;* '''Dash (—)''' indicates where primary sources do not provide complete death data.&lt;/small&gt;

== Comparative Chronology Tables ==

The following table reconstructs lifespan values across multiple chronological traditions. While most values are derived directly from the primary source texts listed in the header, the '''Armenian Eusebius''' chronology does not explicitly record the lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that result in a patriarch surviving beyond the date of the Flood.
* &lt;span style=&quot;color:#333333;&quot;&gt;'''Blank Cells'''&lt;/span&gt; indicate where primary sources do not provide specific lifespan or death data.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! rowspan = &quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;1&quot; rowspan = &quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;2&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;3&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 912

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 905

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 910

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 895

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962
| 847
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969
| 720
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;6&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 777
| 653
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 707
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 723
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 753

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 930

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600
| rowspan=&quot;9&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438
| 538
| 535

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Cainan (II)
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —
| —
| 460

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 433
| 536
| 460

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Eber
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 464
| 404
| 567
| colspan=&quot;2&quot; | 404

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239
| colspan=&quot;2&quot; | 339

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239
| 342
| 339

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Serug
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 230
| colspan=&quot;2&quot; | 330

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 148
| 198
| 304

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205
| 145
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Abraham
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 175

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Isaac
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180
| 185
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jacob
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 147

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Levi
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137
| rowspan=&quot;3&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kohath
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Amram
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 131
| 137
| 136
| colspan=&quot;2&quot; | 132

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Moses
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 120

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! style=&quot;text-align:left; color:black;&quot; | LIFESPAN&lt;br/&gt;DURATION&lt;br/&gt;SUM
| colspan=&quot;2&quot; | 12,600
| colspan=&quot;1&quot; | 11,991
| —
| colspan=&quot;1&quot; | 13,200
| colspan=&quot;1&quot; | 13,551
|}

=== Samaritan Adjustments ===
Four of the pre-flood patriarchs—Jared, Methuselah, Lamech, and Noah—are credited with exceptionally long lives late in the chronology, which creates a potential overlap where these four patriarchs appear to survive Noah's flood. As shown in the above table, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. Other traditions do not employ this specific reduction, but all must address the issue of flood survival, as explained in later sections.

The required reduction in Jared's lifespan was '''115 years'''. Interestingly, as noted in the previous section, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the &quot;Group 1&quot; and &quot;Group 2&quot; patriarchs.

Specifically, this balance was achieved through the following adjustments:
* '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each).
* '''Amram's''' lifespan was increased by five years.

This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing.

=== Masoretic Adjustments ===

In the 2017 article, &quot;[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs],&quot; Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition:

&lt;blockquote&gt;&quot;The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)&quot;&lt;/blockquote&gt;

While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late &quot;tweak&quot; in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges:

&lt;blockquote&gt;&quot;Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above.&quot;&lt;/blockquote&gt;

==== ''Lectio Difficilior Potior'' ====
The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the &quot;harder reading is stronger&quot;) suggests that scribes tend to simplify or &quot;smooth&quot; texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life.

In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges:

* '''Year 500 (of Noah):''' Shem is born.
* '''Year 600 (of Noah):''' The Flood occurs.
* '''Year 700 (of Noah):''' Lamech dies.

This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a &quot;compressed chronology&quot; (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (53, 653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''183 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate &quot;balancing&quot; of total chronological years.

=== Armenian Eusebius Adjustments ===
Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 220 ''šūši'' (or 10 ''šūši'' more than the Masoretic Text). Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system.

Specifically, the following adjustments appear to have occurred for Group 2 patriarchs:
* '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years.
* '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years.
* '''Nahor''' had his lifespan increased by 50 years.
* '''Amram''' had his lifespan increased by 1 year.

The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''.

= It All Started With Grain =

[[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]]

The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the [https://www.biblicalarchaeology.org/daily/news/ancient-bread-jordan/ Black Desert of Jordan]. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops.

The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the &quot;firstfruits of your harvest&quot; (referring to barley) before the Lord:

&lt;blockquote&gt;&quot;then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord&quot;&lt;/blockquote&gt;

To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues:

&lt;blockquote&gt;&quot;And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord.&quot;&lt;/blockquote&gt;

[[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]]

These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the &quot;better things&quot; and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.

This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: 

&lt;blockquote&gt;&quot;And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye &lt;small&gt;(likely emmer wheat or spelt)&lt;/small&gt; were not smitten: for they were not grown up.&quot;&lt;/blockquote&gt;

This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. 

The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest).

=== The Mathematical Structure of Jubilees ===

The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of &quot;weeks&quot;:

* '''Week of Years:''' 7&lt;sup&gt;1&lt;/sup&gt; = 7 years
* '''Jubilee of Years:''' 7&lt;sup&gt;2&lt;/sup&gt; = 49 years
* '''Week of Jubilees:''' 7&lt;sup&gt;3&lt;/sup&gt; = 343 years
* '''Jubilee of Jubilees:''' 7&lt;sup&gt;4&lt;/sup&gt; = 2,401 years

The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land.

[[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]]

The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested &quot;Jubilee of Jubilees&quot; (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle.

* The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year.
* The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years.
* The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid.
* The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs.

== The Birth of Shem (A Digression) ==
Were Noah's sons born when Noah was 500 or 502?

==== The 502 Calculation ====
While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that &quot;Noah was 500 years old, and Noah begat Shem, Ham, and Japheth,&quot; this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: 
# Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). 
# Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10])

'''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples.

==== Competing Narratives ====
According to the Book of Jubilees 4:33, Shem was the oldest son, born in Noah's 500&lt;sup&gt;th&lt;/sup&gt; year, followed by Ham in the 502&lt;sup&gt;nd&lt;/sup&gt; year, and Japheth in the 505&lt;sup&gt;th&lt;/sup&gt;. This seems to be in contradiction with the Genesis narrative which places Shem as the second son in year 502.

==== ''Lectio Difficilior Potior'' ====

The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the harder reading is stronger) suggests that scribes tend to simplify or &quot;smooth&quot; texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life.

In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28%7Cversion=SPE Lamech’s 53rd year]. If we combine that with the 500-year figure for Noah's age at the birth of his sons and the [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB Septuagint figure of 753] for Lamech's death, a suspiciously neat pattern emerges:

* '''Year 500 (of Noah):''' Shem is born.
* '''Year 600 (of Noah):''' The Flood occurs.
* '''Year 700 (of Noah):''' Lamech dies.

This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a &quot;compressed chronology&quot; (500–600–700) is a hallmark of editorial smoothing—likely values adjusted during the introduction of the universal flood narrative to create a more &quot;perfect&quot; structure.

Applying ''Lectio Difficilior'', we can reasonably set aside the figures 53, 500, and 753 as being &quot;too structured to be true,&quot; shifting our focus to less symmetrical values such as '''502''' for Shem's birth.

== The Mathematical relationship between 40 and 49 ==

As noted previously, the ''Jubilees'' author envisions early Hebraic history within a &quot;Jubilee of Jubilees&quot; fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows:

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 (7-3)(7+3) &amp;=  7^2 - 3^2 \\
 &amp;= 49 - 9 \\
 &amp;= 40
\end{aligned}
&lt;/math&gt;

The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40.

[[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] 

Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years):

[[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]]

&lt;div style=&quot;line-height: 1.5;&quot;&gt;
* '''Book of Jubilees (Adam to Canaan)'''
** Pre-Flood Patriarch years:
*:&lt;math display=&quot;block&quot;&gt;\frac{7^4 - 1}{2} + 3^2 = 1200 + 9 = 1209&lt;/math&gt;
** Post-Flood Patriarch years:
*:&lt;math display=&quot;block&quot;&gt;\frac{7^4 + 1}{2} + (7^2 - 3^2) = 1201 + 40 = 1241&lt;/math&gt;
** Total Years:
*:&lt;math display=&quot;block&quot;&gt;7^4 + 7^2 = 2401 + 49 = 2450&lt;/math&gt;
&lt;/div&gt;

== The Samaritan Pentateuch Connection ==
Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition.

[[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]]

=== Determining Chronological Priority ===
A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem is born in year 1207 (reconstructed as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 &quot;Jubilee of Jubilees.&quot;

This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's &quot;pivot&quot; position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment.

=== The 350-Year Symmetrical Extension ===
Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a &quot;week of Jubilees&quot; (343 years) plus a &quot;week of years&quot; (7 years).

&lt;div style=&quot;line-height: 1.5;&quot;&gt;
* '''Book of Jubilees (Adam to Canaan):'''
:&lt;math display=&quot;block&quot;&gt;7^4 + 7^2 = 2401 + 49 = 2450 \text{ years}&lt;/math&gt;

* '''Samaritan Pentateuch (Adam to Conquest):'''
:&lt;math display=&quot;block&quot;&gt;\begin{aligned} \text{(Base 49): } &amp; 7^4 + 7^3 + 7^2 + 7^1 = 2401 + 343 + 49 + 7 = 2800 \\ \text{(Base 40): } &amp; 70 \times 40 = 2800 \end{aligned}&lt;/math&gt;
&lt;/div&gt;

=== Mathematical Structure of the Early Samaritan Chronology ===
To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each):

* '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''.
* '''The second cluster''' represents a second millennium.
* '''The final set''' contains 20 blocks (4x5), representing '''800 years'''.

Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record.


[[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]]

== Living in the Rough ==

[[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]]

As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a &quot;generation&quot;) are less clear, but the number is consistently associated with &quot;living in the rough&quot;—periods of trial, transition, or exile away from the comforts of civilization. 

Examples of this pattern include:
* '''Noah''' lived within the ark for 40 days while the rain fell; 
* '''Israel''' wandered in the wilderness for 40 years; 
* '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. 

Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era.

Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the &quot;civilized&quot; city.

In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means &quot;supplanter&quot;—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a &quot;skillful hunter&quot; and a &quot;man of the field,&quot; while Jacob is &quot;dwelling in tents&quot; and cooking &quot;lentil stew.&quot;

The text draws a clear parallel between these two sets of brothers:
* In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. 
* In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this &quot;clever&quot; intervention, Jacob successfully secures the favor that Cain could not.

Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. 

This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the &quot;rough&quot; of the wilderness.

Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three &quot;generations&quot; (3 x 40).

The relationship between these two &quot;three-fold&quot; lifespans can be expressed by the same nine-year offset identified in the Shem chronology:

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 49 - 9 &amp;= 40 \\
 3(49 - 9) &amp;= 3(40) \\
 147 - 27 &amp;= 120
\end{aligned}
&lt;/math&gt;

[[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] 

Samaritan tradition maintains a unique cultural link to the &quot;pastoralist&quot; ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the &quot;grain-based&quot; agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to &quot;wilderness living,&quot; the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit.

=== A narrative foil for Joshua ===
As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a &quot;foil&quot; for Jacob: Moses lived exactly three &quot;generations&quot; (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization.

This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding &quot;foil&quot; to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam?

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 49 - 9 &amp;= 40 \\
 70(49 - 9) &amp;= 70(40) \\
 3,430 - 630 &amp;= 2,800
\end{aligned}
&lt;/math&gt;

Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific &quot;foil&quot; to Joshua existed in the original architect's mind.

The Samaritans do maintain a continuous, running calendar. However, this system uses a &quot;Conquest Era&quot; epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. For instance, at that time, the [[w:Hyksos|Hyksos]] were only beginning to establish control over Lower Egypt. Furthermore, the [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC.

There is, however, one more possibility to consider: what if the &quot;irreconcilable&quot; nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent &quot;foil&quot; event occurred exactly 3,430 years after Creation? 

As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare &quot;smoking gun&quot; for the artificial design of the chronology.

=== A Mystery Solved ===
In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest.

The significant milestones in this timeline include:
* '''Year 1''': &quot;This year the world and Adam were created.&quot; 
* '''Year 2801''': &quot;The first year of Israel's rule in the land of Canaan.&quot; 
* '''Year 3423''': &quot;The commencement of the kingdom of Solomon.&quot;

According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological &quot;anchor&quot; was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself.

In Creation Year 2800—marking exactly 70 &quot;generations&quot; of 40 years—God entered Canaan in a tent, embodying the &quot;living rough&quot; wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 &quot;Jubilees&quot; of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70&lt;sup&gt;th&lt;/sup&gt; generation to the 70&lt;sup&gt;th&lt;/sup&gt; Jubilee:

:&lt;math&gt;70 \times 40 + (70 \times 9) = 70 \times 49&lt;/math&gt;

=== Mathematical Structure of the Later Samaritan Chronology ===
The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years:

* '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation.
* '''The second cluster''' spans years '''3,000 to 4,000''' after Creation.
* '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation.

The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year &quot;Tabernacle&quot; era''', which is composed of:
* The 40 years of wandering in the wilderness;
* The 6 years of the initial conquest;
* The 630 years between the conquest and the completion of Solomon’s Temple.

Following the '''676-year &quot;Tabernacle&quot; era''' is a '''400-year &quot;First Temple&quot; era''' and a '''70-year &quot;Exile&quot; era''' as detailed in the historical breakdown below.

[[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]]

The Book of Daniel states: &quot;In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it&quot; (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''.

The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure.

High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. 

Using this synchronization, other significant milestones are mapped as follows:
* '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''.
* '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''.
* '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''.

High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year &quot;Second Temple Persian Era&quot; (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. 

The remainder of the diagram represents a 300-year &quot;Second Temple Hellenistic Era,&quot; which concludes in '''Creation Year 4400''' (30 BC).

=== Competing Temples ===
There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year &quot;Second Temple Persian Era&quot; (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework.

According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple:

&lt;blockquote&gt;&quot;But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel&quot; (Ezra 4:3).&lt;/blockquote&gt;

After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population.

[[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]]

This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC.

= The Rise of Zadok =
The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years:

* '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation.
* '''The second cluster''' spans years '''3,000 to 4,000''' after Creation.
* '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation.

The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section.  Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness.  To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event.

[[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]]

The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000.

= Hellenized Jews =
Hellenized Jews were
ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint.
= Start TBD =

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! rowspan = &quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;1&quot; rowspan = &quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962
| 847
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969
| 720
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 777
| 653
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 707
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 723
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 753

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;6&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600
| rowspan=&quot;9&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438
| 538
| 535

|}

= End TBD =

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that could result in patriarchs surviving beyond the date of the Flood.
* &lt;span style=&quot;color:#333333;&quot;&gt;'''Blank Cells'''&lt;/span&gt; indicate where primary sources do not provide specific lifespan or death data.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;&quot;
|+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son)

|-
! rowspan=&quot;2&quot; colspan=&quot;1&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Adam
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 130
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 230

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Seth
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 105
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 205

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 90
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 190

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 70
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 170

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 66
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | 65
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 165

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 61
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 162
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 62
| colspan=&quot;6&quot; style=&quot;background-color:#f9f9f9;&quot; | 162

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 65
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 165

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 65
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 187
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 67
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 167 / 187
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 167
| colspan=&quot;2&quot; style=&quot;background-color:#f9f9f9;&quot; | 187

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 55
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 182
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 53
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 182 / 188
| colspan=&quot;5&quot; style=&quot;background-color:#f9f9f9;&quot; | 188

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;9&quot; style=&quot;background-color:#e8e8e8;&quot; | 500 .. 502

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot; style=&quot;text-align:left; color:black;&quot; | Pre-Flood TOTAL
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 1556
| colspan=&quot;1&quot; | 1209
| colspan=&quot;3&quot; | Varied
| colspan=&quot;1&quot; | 2142
| colspan=&quot;1&quot; | 2162
| colspan=&quot;1&quot; | 2164
|}

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;&quot;

|+ Comparison of Post-Flood Chronological Traditions (Age at birth of son)
|-
! colspan=&quot;1&quot; rowspan=&quot;2&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot;  style=&quot;text-align:left; color:black;&quot; | Pre-Flood
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 1556
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 2164
| colspan=&quot;1&quot; | 2162
| colspan=&quot;1&quot; | 2142
| colspan=&quot;3&quot; | Varied

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 100
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 112

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Arphaxad
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 66
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 35
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 135

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Cainan II
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 57
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 130
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 130
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 71
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Eber
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 64
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 34
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 134

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 61
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 59
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 32
| colspan=&quot;5&quot; style=&quot;background-color:#e8e8e8;&quot; | 132
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 135
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Serug	
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 57
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 130
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 132

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 62
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 29
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 79
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 75
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 79 / 179
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 79
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 120

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;9&quot; style=&quot;background-color:#e8e8e8;&quot; | 70

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Abram
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 78
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 75

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Canaan
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 218
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 215

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Egypt
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 238
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 430
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 215
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 430
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 215
|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Sinai +/-
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 40
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | -
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 46
| colspan=&quot;4&quot; style=&quot;background-color:#e8e8e8;&quot; | 40

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot; style=&quot;text-align:left; color:black;&quot; | GRAND TOTAL
| colspan=&quot;1&quot; | 2450
| colspan=&quot;1&quot; | 2666
| colspan=&quot;1&quot; | 2800
| colspan=&quot;1&quot; | 3885
| colspan=&quot;1&quot; | 3754
| colspan=&quot;1&quot; | 3938
| colspan=&quot;3&quot; | Varied
|}

== The Septuagint Chronology ==

While the chronologies of the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' are anchored in Levant-based agricultural cycles and the symbolic interplay of the numbers 40 and 49, the Septuagint (LXX) appears to have been structured around a different set of priorities. Specifically, the LXX's chronological framework seems designed to resolve a significant textual difficulty: the mathematical anomaly of patriarchs potentially outliving the Flood. In the 2017 article, ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', author Paul D. makes the following statement regarding the Septuagint:

&lt;blockquote&gt;“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”&lt;/blockquote&gt;

While Paul D.’s &quot;Whoops Theory&quot; suggests the LXX editor intended to &quot;fix&quot; the timeline but failed in the case of Methuselah, this interpretation potentially overlooks the systemic nature of the changes. If an editor is methodical enough to systematically alter multiple generations by exactly one hundred years, a single &quot;failure&quot; to fix Methuselah could suggest the avoidance of a post-Flood death was not the primary objective.

Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': 

&lt;blockquote&gt;&quot;Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years.&quot;&lt;/blockquote&gt; 

This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development.

=== Demetrius the Chronographer ===
Demetrius the Chronographer, writing as early as the late 3rd century BC (c. 221 BC), represents the earliest known witness to biblical chronological calculations. While only fragments of his work remain, they are significant; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. This presumably places the birth of Shem at 2,164 years—exactly one hundred years before the Flood—aligning his data with the &quot;Long Chronology&quot; of the Septuagint.

In the comment section of the original article, in response to evidence regarding this longer tradition (provided by commenter Roger Quill), Paul D. reaffirms his &quot;Whoops Theory&quot; by challenging the validity of various witnesses to the 187-year begettal age of Methuselah. In this view, Codex Alexandrinus is seen as the lone legitimate witness, while others are discounted: 

* '''Josephus:''' Characterized as dependent on the Masoretic tradition.
* '''Pseudo-Philo:''' Dismissed due to textual corruption (&quot;a real mess&quot;).
* '''Julius Africanus:''' Questioned because his records survive only through the later intermediary, Syncellus.
* '''Demetrius:''' Rejected as a witness because his chronology contains an additional 22 years (rather than the typical 20-year variance) whose precise placement remains unknown.

The claim that Julius Africanus is invalidated due to his survival through an intermediary, or that Demetrius is disqualified by a 22-year variance, is arguably overstated. A plausible explanation for the discrepancy in Demetrius's chronology is the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can easily account for such variances without necessitating the rejection of the witnesses.

=== The Correlations ===
An interesting piece of corroborating evidence exists in the previously mentioned 1864 publication by Rev. John Mills, ''Three Months' Residence at Nablus'', where High Priest Amram records his own chronological dates based on the Samaritan Pentateuch. Priest Amram lists the Flood date as 1307 years after creation, but then lists the birth of Arphaxad as 1309 years—exactly two years after the Flood—which presumably places Shem's birth in year 502 of Noah's life (though Shem's actual birth date in the text is obscured by a typo).

The internal tension in Priest Amram's calculations likely reflects the same two-year variance seen between Demetrius and Africanus. Priest Amram lists the birth years of Shelah, Eber, and Peleg as 1444, 1574, and 1708, respectively. Africanus lists those same birth years as 2397, 2527, and 2661. In each case, the Priest Amram figure differs from the Africanus value by exactly 953 years. While the chronology of Africanus may reach us through an intermediary, as Paul D. notes, the values provided by both Demetrius and Africanus are precisely what one would anticipate to resolve the &quot;Universal Flood&quot; problem.


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      <text bytes="86425" sha1="96bwwjxxqzow2ug3e37qxuzj5jt109r" xml:space="preserve">{{Original research}}
This page evaluates and extends the mathematical insights presented in the 2017 article, ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'' by Paul D. While the original article provides a compelling foundation, this analysis identifies areas where the underlying data and mathematical evidence are more robust than initially presented. The following sections aim to clarify these findings and offer a more precise structural framework.

== Summary of Main Arguments ==
The ages of the patriarchs in Genesis are not intended as historical records, but as a complex symbolic mathematical structure designed by ancient authors. Key points include:

* '''Artificial Mathematical Design:''' Patriarchal ages and event years are based on symbolic or &quot;perfect&quot; numbers (such as 7, 49, and 60) rather than biological or historical reality.
* '''Alignment with Sacred Cycles:''' The chronologies are designed to align significant events—such as the Exodus and the dedication of Solomon’s Temple—with specific &quot;years of the world&quot; (''Anno Mundi''), synchronizing human history with a divine calendar.
* '''The Universal Flood as a Later Insertion:''' Evidence suggests the universal scope of Noah's Flood was a later addition to a patriarchal foundation story. This insertion disrupted the original timelines, forcing recalibrations in the Masoretic Text (MT), Samaritan Pentateuch (SP), and Septuagint (LXX) to avoid chronological contradictions.
* '''Chronological Overlaps:''' In the original numerical framework (prior to recalibration for a universal flood), the mathematical structures resulted in overlaps where certain patriarchs, such as Methuselah, survived beyond the date of the Flood.

= Arichat Yamim =

Most of the patriarchs' lifespans in the Hebrew Bible far exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101).

This phenomenon is difficult to explain, as no known ancient number system features &quot;101&quot; as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle.
 
In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a &quot;perfect&quot; Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows:

*:&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
\frac{7\,\text{šar}}{2} &amp;= 3\,\text{šar}\,\,30\,\text{šūši}  \\ 
&amp;= \left(3 \times 60^2 \, \text{years} \right) + \left(30 \times 60^1 \,\text{years} \right) \\ 
&amp;= 10,800 \, \text{years} + 1,800 \, \text{years} \\
&amp;= 12,600 \, \text{years}
\end{aligned}
&lt;/math&gt;

This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60).

==== Prototype 1: Initial &quot;Mesopotamian&quot; Allocation ====

----

&lt;div style=&quot;background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;&quot;&gt;
The initial &quot;PT1&quot; framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''):

* '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49).
* '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''.
* '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920).
&lt;/div&gt;

----

==== Prototype 2: Refined &quot;Jubilee&quot; Allocation ====

----

&lt;div style=&quot;background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;&quot;&gt;
Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the &quot;Remainder&quot; to each of the two primary groups. This resulted in the &quot;PT2&quot; figures as follows:

* '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees).
* '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees).
* '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949).
&lt;/div&gt;

----

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that result in a patriarch surviving beyond the date of the Flood.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e0f2f1; border-bottom:2px solid #009688;&quot; | PROTOTYPE 1&lt;br/&gt;(PT1)
! colspan=&quot;3&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PROTOTYPE 2&lt;br/&gt;(PT2)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;82 šūši&lt;br/&gt;(4920)&lt;/div&gt;
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;45 šūši&lt;br/&gt;(2700)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;4949&lt;/div&gt;
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2727&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 912

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 905

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 910

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;37 šūši&lt;br/&gt;(2220)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2222&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 895

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 6 (360)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot;  | Methuselah
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;46 šūši&lt;br/&gt;(2760)&lt;/div&gt;
| rowspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;32 šūši&lt;br/&gt;(1920)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2702&lt;/div&gt;
| rowspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1919&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 14 (880)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 14 (840)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam
| rowspan=&quot;18&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;82 šūši&lt;br/&gt;(4920)&lt;/div&gt;
| rowspan=&quot;5&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;40 šūši&lt;br/&gt;(2400)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 16 (960)
| rowspan=&quot;18&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;4949&lt;/div&gt;
| rowspan=&quot;5&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2401&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 930

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 10 (600)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 7 (420)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Cainan (II)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 7 (420)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 433

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Eber
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;25 šūši&lt;br/&gt;(1500)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 8 (480)
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1525&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 464

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 4 (240)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 4 (240)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Serug
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 230

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 148

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Abraham
| rowspan=&quot;7&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;17 šūši&lt;br/&gt;(1020)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| rowspan=&quot;7&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1023&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 175

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Isaac
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jacob
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 147

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Levi
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kohath
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Amram
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 131

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Moses
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 120

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! style=&quot;text-align:left; color:black;&quot; | LIFESPAN&lt;br/&gt;DURATION&lt;br/&gt;SUM
| colspan=&quot;6&quot; | 210 šūši&lt;br/&gt;(12,600 years)
|}

== PT2 as the Base Model for Patriarchal Chronologies ==
The &quot;PT2&quot; chronology serves as the foundational model from which subsequent patriarchal lifespans in various textual traditions were derived. Evidence for this remains visible across nearly all biblical records, as they consistently preserve the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1).

* '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost.
* '''The Masoretic Text (MT):''' This tradition shifted 6 years from the &quot;Remainder&quot; to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block.
* '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši'''''.
* '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence.

The use of rounded Mesopotamian figures in the Armenian Eusebius Chronology suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the Septuagint's divergence indicates a later development—likely in Alexandria—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;

|+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum)
|-
! rowspan=&quot;2&quot; | Patriarch Groups
! rowspan=&quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;2&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;3&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! style=&quot;background-color:#e3f2fd;&quot; | Masoretic&lt;br/&gt;(MT)
! style=&quot;background-color:#e3f2fd;&quot; | Samaritan&lt;br/&gt;(SP)
! style=&quot;background-color:#fff3e0;&quot; | Josephus&lt;br/&gt;(94 AD)
! style=&quot;background-color:#fff3e0;&quot; | Eusebius&lt;br/&gt;(325 AD)
! style=&quot;background-color:#fff3e0;&quot; | Septuagint&lt;br/&gt;(LXX)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth to Enoch&lt;br/&gt;&lt;small&gt;(6 Patriarchs)&lt;/small&gt;
| colspan=&quot;2&quot; style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
| style=&quot;background-color:#f9f9f9;&quot; | 4834&lt;br/&gt;&lt;small&gt;(4949 - 115)&lt;/small&gt;
| colspan=&quot;3&quot; style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
|-

| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah, Lamech, Noah&lt;br/&gt;&lt;small&gt;(The Remainder)&lt;/small&gt;
| style=&quot;font-weight:bold; background-color:#f9f9f9;&quot; | 2702
| style=&quot;background-color:#f9f9f9;&quot; | 2696&lt;br/&gt;&lt;small&gt;(2702 - 6)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2323&lt;br/&gt;&lt;small&gt;(2702 - 379)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2626&lt;br/&gt;&lt;small&gt;(2702 - 76)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2642&lt;br/&gt;&lt;small&gt;(2702 - 60)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2672&lt;br/&gt;&lt;small&gt;(2702 - 30)&lt;/small&gt;
|-

| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam &amp; Shem to Moses&lt;br/&gt;&lt;small&gt;(The &quot;Second Half&quot;)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
| style=&quot;background-color:#f9f9f9;&quot; | 4955&lt;br/&gt;&lt;small&gt;(4949 + 6)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 4834&lt;br/&gt;&lt;small&gt;(4949 - 115)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | —
| style=&quot;background-color:#f9f9f9;&quot; | 5609&lt;br/&gt;&lt;small&gt;(4949 + 660)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 5930&lt;br/&gt;&lt;small&gt;(4949 + 981)&lt;/small&gt;

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:14px;&quot;
! LIFESPAN DURATION SUM
| colspan=&quot;2&quot; | 12,600
| 11,991
| —
| 13,200
| 13,551
|}
&lt;small&gt;* '''Dash (—)''' indicates where primary sources do not provide complete death data.&lt;/small&gt;

== Comparative Chronology Tables ==

The following table reconstructs lifespan values across multiple chronological traditions. While most values are derived directly from the primary source texts listed in the header, the '''Armenian Eusebius''' chronology does not explicitly record the lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that result in a patriarch surviving beyond the date of the Flood.
* &lt;span style=&quot;color:#333333;&quot;&gt;'''Blank Cells'''&lt;/span&gt; indicate where primary sources do not provide specific lifespan or death data.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! rowspan = &quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;1&quot; rowspan = &quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;2&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;3&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 912

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 905

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 910

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 895

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962
| 847
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969
| 720
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;6&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 777
| 653
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 707
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 723
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 753

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 930

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600
| rowspan=&quot;9&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438
| 538
| 535

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Cainan (II)
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —
| —
| 460

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 433
| 536
| 460

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Eber
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 464
| 404
| 567
| colspan=&quot;2&quot; | 404

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239
| colspan=&quot;2&quot; | 339

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239
| 342
| 339

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Serug
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 230
| colspan=&quot;2&quot; | 330

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 148
| 198
| 304

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205
| 145
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Abraham
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 175

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Isaac
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180
| 185
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jacob
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 147

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Levi
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137
| rowspan=&quot;3&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kohath
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Amram
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 131
| 137
| 136
| colspan=&quot;2&quot; | 132

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Moses
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 120

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! style=&quot;text-align:left; color:black;&quot; | LIFESPAN&lt;br/&gt;DURATION&lt;br/&gt;SUM
| colspan=&quot;2&quot; | 12,600
| colspan=&quot;1&quot; | 11,991
| —
| colspan=&quot;1&quot; | 13,200
| colspan=&quot;1&quot; | 13,551
|}

=== Samaritan Adjustments ===
Four of the pre-flood patriarchs—Jared, Methuselah, Lamech, and Noah—are credited with exceptionally long lives late in the chronology, which creates a potential overlap where these four patriarchs appear to survive Noah's flood. As shown in the above table, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. Other traditions do not employ this specific reduction, but all must address the issue of flood survival, as explained in later sections.

The required reduction in Jared's lifespan was '''115 years'''. Interestingly, as noted in the previous section, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the &quot;Group 1&quot; and &quot;Group 2&quot; patriarchs.

Specifically, this balance was achieved through the following adjustments:
* '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each).
* '''Amram's''' lifespan was increased by five years.

This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing.

=== Masoretic Adjustments ===

In the 2017 article, &quot;[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs],&quot; Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition:

&lt;blockquote&gt;&quot;The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)&quot;&lt;/blockquote&gt;

While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late &quot;tweak&quot; in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges:

&lt;blockquote&gt;&quot;Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above.&quot;&lt;/blockquote&gt;

==== ''Lectio Difficilior Potior'' ====
The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the &quot;harder reading is stronger&quot;) suggests that scribes tend to simplify or &quot;smooth&quot; texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life.

In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges:

* '''Year 500 (of Noah):''' Shem is born.
* '''Year 600 (of Noah):''' The Flood occurs.
* '''Year 700 (of Noah):''' Lamech dies.

This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a &quot;compressed chronology&quot; (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (53, 653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''183 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate &quot;balancing&quot; of total chronological years.

=== Armenian Eusebius Adjustments ===
Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 220 ''šūši'' (or 10 ''šūši'' more than the Masoretic Text). Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system.

Specifically, the following adjustments appear to have occurred for Group 2 patriarchs:
* '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years.
* '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years.
* '''Nahor''' had his lifespan increased by 50 years.
* '''Amram''' had his lifespan increased by 1 year.

The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''.

= It All Started With Grain =

[[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]]

The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the [https://www.biblicalarchaeology.org/daily/news/ancient-bread-jordan/ Black Desert of Jordan]. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops.

The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the &quot;firstfruits of your harvest&quot; (referring to barley) before the Lord:

&lt;blockquote&gt;&quot;then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord&quot;&lt;/blockquote&gt;

To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues:

&lt;blockquote&gt;&quot;And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord.&quot;&lt;/blockquote&gt;

[[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]]

These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the &quot;better things&quot; and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.

This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: 

&lt;blockquote&gt;&quot;And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye &lt;small&gt;(likely emmer wheat or spelt)&lt;/small&gt; were not smitten: for they were not grown up.&quot;&lt;/blockquote&gt;

This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. 

The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest).

=== The Mathematical Structure of Jubilees ===

The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of &quot;weeks&quot;:

* '''Week of Years:''' 7&lt;sup&gt;1&lt;/sup&gt; = 7 years
* '''Jubilee of Years:''' 7&lt;sup&gt;2&lt;/sup&gt; = 49 years
* '''Week of Jubilees:''' 7&lt;sup&gt;3&lt;/sup&gt; = 343 years
* '''Jubilee of Jubilees:''' 7&lt;sup&gt;4&lt;/sup&gt; = 2,401 years

The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land.

[[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]]

The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested &quot;Jubilee of Jubilees&quot; (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle.

* The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year.
* The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years.
* The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid.
* The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs.

== The Birth of Shem (A Digression) ==
Were Noah's sons born when Noah was 500 or 502?

==== The 502 Calculation ====
While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that &quot;Noah was 500 years old, and Noah begat Shem, Ham, and Japheth,&quot; this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: 
# Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). 
# Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10])

'''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples.

==== Competing Narratives ====
According to the Book of Jubilees 4:33, Shem was the oldest son, born in Noah's 500&lt;sup&gt;th&lt;/sup&gt; year, followed by Ham in the 502&lt;sup&gt;nd&lt;/sup&gt; year, and Japheth in the 505&lt;sup&gt;th&lt;/sup&gt;. This seems to be in contradiction with the Genesis narrative which places Shem as the second son in year 502.

==== ''Lectio Difficilior Potior'' ====

The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the harder reading is stronger) suggests that scribes tend to simplify or &quot;smooth&quot; texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life.

In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28%7Cversion=SPE Lamech’s 53rd year]. If we combine that with the 500-year figure for Noah's age at the birth of his sons and the [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB Septuagint figure of 753] for Lamech's death, a suspiciously neat pattern emerges:

* '''Year 500 (of Noah):''' Shem is born.
* '''Year 600 (of Noah):''' The Flood occurs.
* '''Year 700 (of Noah):''' Lamech dies.

This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a &quot;compressed chronology&quot; (500–600–700) is a hallmark of editorial smoothing—likely values adjusted during the introduction of the universal flood narrative to create a more &quot;perfect&quot; structure.

Applying ''Lectio Difficilior'', we can reasonably set aside the figures 53, 500, and 753 as being &quot;too structured to be true,&quot; shifting our focus to less symmetrical values such as '''502''' for Shem's birth.

== The Mathematical relationship between 40 and 49 ==

As noted previously, the ''Jubilees'' author envisions early Hebraic history within a &quot;Jubilee of Jubilees&quot; fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows:

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 (7-3)(7+3) &amp;=  7^2 - 3^2 \\
 &amp;= 49 - 9 \\
 &amp;= 40
\end{aligned}
&lt;/math&gt;

The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40.

[[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] 

Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years):

[[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]]

&lt;div style=&quot;line-height: 1.5;&quot;&gt;
* '''Book of Jubilees (Adam to Canaan)'''
** Pre-Flood Patriarch years:
*:&lt;math display=&quot;block&quot;&gt;\frac{7^4 - 1}{2} + 3^2 = 1200 + 9 = 1209&lt;/math&gt;
** Post-Flood Patriarch years:
*:&lt;math display=&quot;block&quot;&gt;\frac{7^4 + 1}{2} + (7^2 - 3^2) = 1201 + 40 = 1241&lt;/math&gt;
** Total Years:
*:&lt;math display=&quot;block&quot;&gt;7^4 + 7^2 = 2401 + 49 = 2450&lt;/math&gt;
&lt;/div&gt;

== The Samaritan Pentateuch Connection ==
Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition.

[[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]]

=== Determining Chronological Priority ===
A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem is born in year 1207 (reconstructed as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 &quot;Jubilee of Jubilees.&quot;

This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's &quot;pivot&quot; position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment.

=== The 350-Year Symmetrical Extension ===
Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a &quot;week of Jubilees&quot; (343 years) plus a &quot;week of years&quot; (7 years).

&lt;div style=&quot;line-height: 1.5;&quot;&gt;
* '''Book of Jubilees (Adam to Canaan):'''
:&lt;math display=&quot;block&quot;&gt;7^4 + 7^2 = 2401 + 49 = 2450 \text{ years}&lt;/math&gt;

* '''Samaritan Pentateuch (Adam to Conquest):'''
:&lt;math display=&quot;block&quot;&gt;\begin{aligned} \text{(Base 49): } &amp; 7^4 + 7^3 + 7^2 + 7^1 = 2401 + 343 + 49 + 7 = 2800 \\ \text{(Base 40): } &amp; 70 \times 40 = 2800 \end{aligned}&lt;/math&gt;
&lt;/div&gt;

=== Mathematical Structure of the Early Samaritan Chronology ===
To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each):

* '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''.
* '''The second cluster''' represents a second millennium.
* '''The final set''' contains 20 blocks (4x5), representing '''800 years'''.

Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record.


[[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]]

== Living in the Rough ==

[[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]]

As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a &quot;generation&quot;) are less clear, but the number is consistently associated with &quot;living in the rough&quot;—periods of trial, transition, or exile away from the comforts of civilization. 

Examples of this pattern include:
* '''Noah''' lived within the ark for 40 days while the rain fell; 
* '''Israel''' wandered in the wilderness for 40 years; 
* '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. 

Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era.

Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the &quot;civilized&quot; city.

In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means &quot;supplanter&quot;—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a &quot;skillful hunter&quot; and a &quot;man of the field,&quot; while Jacob is &quot;dwelling in tents&quot; and cooking &quot;lentil stew.&quot;

The text draws a clear parallel between these two sets of brothers:
* In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. 
* In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this &quot;clever&quot; intervention, Jacob successfully secures the favor that Cain could not.

Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. 

This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the &quot;rough&quot; of the wilderness.

Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three &quot;generations&quot; (3 x 40).

The relationship between these two &quot;three-fold&quot; lifespans can be expressed by the same nine-year offset identified in the Shem chronology:

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 49 - 9 &amp;= 40 \\
 3(49 - 9) &amp;= 3(40) \\
 147 - 27 &amp;= 120
\end{aligned}
&lt;/math&gt;

[[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] 

Samaritan tradition maintains a unique cultural link to the &quot;pastoralist&quot; ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the &quot;grain-based&quot; agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to &quot;wilderness living,&quot; the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit.

=== A narrative foil for Joshua ===
As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a &quot;foil&quot; for Jacob: Moses lived exactly three &quot;generations&quot; (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization.

This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding &quot;foil&quot; to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam?

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 49 - 9 &amp;= 40 \\
 70(49 - 9) &amp;= 70(40) \\
 3,430 - 630 &amp;= 2,800
\end{aligned}
&lt;/math&gt;

Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific &quot;foil&quot; to Joshua existed in the original architect's mind.

The Samaritans do maintain a continuous, running calendar. However, this system uses a &quot;Conquest Era&quot; epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. For instance, at that time, the [[w:Hyksos|Hyksos]] were only beginning to establish control over Lower Egypt. Furthermore, the [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC.

There is, however, one more possibility to consider: what if the &quot;irreconcilable&quot; nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent &quot;foil&quot; event occurred exactly 3,430 years after Creation? 

As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare &quot;smoking gun&quot; for the artificial design of the chronology.

=== A Mystery Solved ===
In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest.

The significant milestones in this timeline include:
* '''Year 1''': &quot;This year the world and Adam were created.&quot; 
* '''Year 2801''': &quot;The first year of Israel's rule in the land of Canaan.&quot; 
* '''Year 3423''': &quot;The commencement of the kingdom of Solomon.&quot;

According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological &quot;anchor&quot; was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself.

In Creation Year 2800—marking exactly 70 &quot;generations&quot; of 40 years—God entered Canaan in a tent, embodying the &quot;living rough&quot; wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 &quot;Jubilees&quot; of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70&lt;sup&gt;th&lt;/sup&gt; generation to the 70&lt;sup&gt;th&lt;/sup&gt; Jubilee:

:&lt;math&gt;70 \times 40 + (70 \times 9) = 70 \times 49&lt;/math&gt;

=== Mathematical Structure of the Later Samaritan Chronology ===
The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years:

* '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation.
* '''The second cluster''' spans years '''3,000 to 4,000''' after Creation.
* '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation.

The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year &quot;Tabernacle&quot; era''', which is composed of:
* The 40 years of wandering in the wilderness;
* The 6 years of the initial conquest;
* The 630 years between the conquest and the completion of Solomon’s Temple.

Following the '''676-year &quot;Tabernacle&quot; era''' is a '''400-year &quot;First Temple&quot; era''' and a '''70-year &quot;Exile&quot; era''' as detailed in the historical breakdown below.

[[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]]

The Book of Daniel states: &quot;In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it&quot; (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''.

The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure.

High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. 

Using this synchronization, other significant milestones are mapped as follows:
* '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''.
* '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''.
* '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''.

High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year &quot;Second Temple Persian Era&quot; (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. 

The remainder of the diagram represents a 300-year &quot;Second Temple Hellenistic Era,&quot; which concludes in '''Creation Year 4400''' (30 BC).

=== Competing Temples ===
There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year &quot;Second Temple Persian Era&quot; (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework.

According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple:

&lt;blockquote&gt;&quot;But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel&quot; (Ezra 4:3).&lt;/blockquote&gt;

After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population.

[[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]]

This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC.

= The Rise of Zadok =
The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years:

* '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation.
* '''The second cluster''' spans years '''3,000 to 4,000''' after Creation.
* '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation.

The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section.  Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness.  To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event.

[[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]]

The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000.

= Hellenized Jews =
Hellenized Jews were
ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint.
= Start TBD =

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! rowspan = &quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;1&quot; rowspan = &quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962
| 847
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969
| 720
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 777
| 653
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 707
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 723
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 753

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;6&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600
| rowspan=&quot;9&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438
| 538
| 535

|}

= End TBD =

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that could result in patriarchs surviving beyond the date of the Flood.
* &lt;span style=&quot;color:#333333;&quot;&gt;'''Blank Cells'''&lt;/span&gt; indicate where primary sources do not provide specific lifespan or death data.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;&quot;
|+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son)

|-
! rowspan=&quot;2&quot; colspan=&quot;1&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Adam
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 130
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 230

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Seth
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 105
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 205

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 90
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 190

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 70
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 170

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 66
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | 65
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 165

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 61
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 162
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 62
| colspan=&quot;6&quot; style=&quot;background-color:#f9f9f9;&quot; | 162

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 65
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 165

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 65
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 187
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 67
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 167 / 187
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 167
| colspan=&quot;2&quot; style=&quot;background-color:#f9f9f9;&quot; | 187

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 55
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 182
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 53
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 182 / 188
| colspan=&quot;5&quot; style=&quot;background-color:#f9f9f9;&quot; | 188

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;9&quot; style=&quot;background-color:#e8e8e8;&quot; | 500 .. 502

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot; style=&quot;text-align:left; color:black;&quot; | Pre-Flood TOTAL
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 1556
| colspan=&quot;1&quot; | 1209
| colspan=&quot;3&quot; | Varied
| colspan=&quot;1&quot; | 2142
| colspan=&quot;1&quot; | 2162
| colspan=&quot;1&quot; | 2164
|}

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;&quot;

|+ Comparison of Post-Flood Chronological Traditions (Age at birth of son)
|-
! colspan=&quot;1&quot; rowspan=&quot;2&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot;  style=&quot;text-align:left; color:black;&quot; | Pre-Flood
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 1556
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 2164
| colspan=&quot;1&quot; | 2162
| colspan=&quot;1&quot; | 2142
| colspan=&quot;3&quot; | Varied

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 100
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 112

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Arphaxad
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 66
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 35
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 135

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Cainan II
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 57
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 130
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 130
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 71
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Eber
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 64
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 34
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 134

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 61
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 59
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 32
| colspan=&quot;5&quot; style=&quot;background-color:#e8e8e8;&quot; | 132
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 135
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Serug	
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 57
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 130
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 132

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 62
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 29
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 79
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 75
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 79 / 179
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 79
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 120

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;9&quot; style=&quot;background-color:#e8e8e8;&quot; | 70

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Abram
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 78
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 75

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Canaan
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 218
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 215

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Egypt
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 238
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 430
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 215
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 430
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 215
|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Sinai +/-
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 40
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | -
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 46
| colspan=&quot;4&quot; style=&quot;background-color:#e8e8e8;&quot; | 40

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot; style=&quot;text-align:left; color:black;&quot; | GRAND TOTAL
| colspan=&quot;1&quot; | 2450
| colspan=&quot;1&quot; | 2666
| colspan=&quot;1&quot; | 2800
| colspan=&quot;1&quot; | 3885
| colspan=&quot;1&quot; | 3754
| colspan=&quot;1&quot; | 3938
| colspan=&quot;3&quot; | Varied
|}

== The Septuagint Chronology ==

While the chronologies of the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' are anchored in Levant-based agricultural cycles and the symbolic interplay of the numbers 40 and 49, the Septuagint (LXX) appears to have been structured around a different set of priorities. Specifically, the LXX's chronological framework seems designed to resolve a significant textual difficulty: the mathematical anomaly of patriarchs potentially outliving the Flood. In the 2017 article, ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', author Paul D. makes the following statement regarding the Septuagint:

&lt;blockquote&gt;“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”&lt;/blockquote&gt;

While Paul D.’s &quot;Whoops Theory&quot; suggests the LXX editor intended to &quot;fix&quot; the timeline but failed in the case of Methuselah, this interpretation potentially overlooks the systemic nature of the changes. If an editor is methodical enough to systematically alter multiple generations by exactly one hundred years, a single &quot;failure&quot; to fix Methuselah could suggest the avoidance of a post-Flood death was not the primary objective.

Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': 

&lt;blockquote&gt;&quot;Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years.&quot;&lt;/blockquote&gt; 

This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development.

=== Demetrius the Chronographer ===
Demetrius the Chronographer, writing as early as the late 3rd century BC (c. 221 BC), represents the earliest known witness to biblical chronological calculations. While only fragments of his work remain, they are significant; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. This presumably places the birth of Shem at 2,164 years—exactly one hundred years before the Flood—aligning his data with the &quot;Long Chronology&quot; of the Septuagint.

In the comment section of the original article, in response to evidence regarding this longer tradition (provided by commenter Roger Quill), Paul D. reaffirms his &quot;Whoops Theory&quot; by challenging the validity of various witnesses to the 187-year begettal age of Methuselah. In this view, Codex Alexandrinus is seen as the lone legitimate witness, while others are discounted: 

* '''Josephus:''' Characterized as dependent on the Masoretic tradition.
* '''Pseudo-Philo:''' Dismissed due to textual corruption (&quot;a real mess&quot;).
* '''Julius Africanus:''' Questioned because his records survive only through the later intermediary, Syncellus.
* '''Demetrius:''' Rejected as a witness because his chronology contains an additional 22 years (rather than the typical 20-year variance) whose precise placement remains unknown.

The claim that Julius Africanus is invalidated due to his survival through an intermediary, or that Demetrius is disqualified by a 22-year variance, is arguably overstated. A plausible explanation for the discrepancy in Demetrius's chronology is the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can easily account for such variances without necessitating the rejection of the witnesses.

=== The Correlations ===
An interesting piece of corroborating evidence exists in the previously mentioned 1864 publication by Rev. John Mills, ''Three Months' Residence at Nablus'', where High Priest Amram records his own chronological dates based on the Samaritan Pentateuch. Priest Amram lists the Flood date as 1307 years after creation, but then lists the birth of Arphaxad as 1309 years—exactly two years after the Flood—which presumably places Shem's birth in year 502 of Noah's life (though Shem's actual birth date in the text is obscured by a typo).

The internal tension in Priest Amram's calculations likely reflects the same two-year variance seen between Demetrius and Africanus. Priest Amram lists the birth years of Shelah, Eber, and Peleg as 1444, 1574, and 1708, respectively. Africanus lists those same birth years as 2397, 2527, and 2661. In each case, the Priest Amram figure differs from the Africanus value by exactly 953 years. While the chronology of Africanus may reach us through an intermediary, as Paul D. notes, the values provided by both Demetrius and Africanus are precisely what one would anticipate to resolve the &quot;Universal Flood&quot; problem.


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      <text bytes="86651" sha1="ik83mr0unjz1glm40qp9n4z0zl2cggp" xml:space="preserve">{{Original research}}
This page evaluates and extends the mathematical insights presented in the 2017 article, ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'' by Paul D. While the original article provides a compelling foundation, this analysis identifies areas where the underlying data and mathematical evidence are more robust than initially presented. The following sections aim to clarify these findings and offer a more precise structural framework.

== Summary of Main Arguments ==
The ages of the patriarchs in Genesis are not intended as historical records, but as a complex symbolic mathematical structure designed by ancient authors. Key points include:

* '''Artificial Mathematical Design:''' Patriarchal ages and event years are based on symbolic or &quot;perfect&quot; numbers (such as 7, 49, and 60) rather than biological or historical reality.
* '''Alignment with Sacred Cycles:''' The chronologies are designed to align significant events—such as the Exodus and the dedication of Solomon’s Temple—with specific &quot;years of the world&quot; (''Anno Mundi''), synchronizing human history with a divine calendar.
* '''The Universal Flood as a Later Insertion:''' Evidence suggests the universal scope of Noah's Flood was a later addition to a patriarchal foundation story. This insertion disrupted the original timelines, forcing recalibrations in the Masoretic Text (MT), Samaritan Pentateuch (SP), and Septuagint (LXX) to avoid chronological contradictions.
* '''Chronological Overlaps:''' In the original numerical framework (prior to recalibration for a universal flood), the mathematical structures resulted in overlaps where certain patriarchs, such as Methuselah, survived beyond the date of the Flood.

= Arichat Yamim =

Most of the patriarchs' lifespans in the Hebrew Bible far exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101).

This phenomenon is difficult to explain, as no known ancient number system features &quot;101&quot; as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle.
 
In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a &quot;perfect&quot; Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows:

*:&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
\frac{7\,\text{šar}}{2} &amp;= 3\,\text{šar}\,\,30\,\text{šūši}  \\ 
&amp;= \left(3 \times 60^2 \, \text{years} \right) + \left(30 \times 60^1 \,\text{years} \right) \\ 
&amp;= 10,800 \, \text{years} + 1,800 \, \text{years} \\
&amp;= 12,600 \, \text{years}
\end{aligned}
&lt;/math&gt;

This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60).

==== Prototype 1: Initial &quot;Mesopotamian&quot; Allocation ====

----

&lt;div style=&quot;background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;&quot;&gt;
The initial &quot;PT1&quot; framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''):

* '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49).
* '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''.
* '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920).
&lt;/div&gt;

----

==== Prototype 2: Refined &quot;Jubilee&quot; Allocation ====

----

&lt;div style=&quot;background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;&quot;&gt;
Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the &quot;Remainder&quot; to each of the two primary groups. This resulted in the &quot;PT2&quot; figures as follows:

* '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees).
* '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees).
* '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949).
&lt;/div&gt;

----

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that result in a patriarch surviving beyond the date of the Flood.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e0f2f1; border-bottom:2px solid #009688;&quot; | PROTOTYPE 1&lt;br/&gt;(PT1)
! colspan=&quot;3&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PROTOTYPE 2&lt;br/&gt;(PT2)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;82 šūši&lt;br/&gt;(4920)&lt;/div&gt;
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;45 šūši&lt;br/&gt;(2700)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;4949&lt;/div&gt;
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2727&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 912

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 905

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 910

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;37 šūši&lt;br/&gt;(2220)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2222&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 895

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 6 (360)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot;  | Methuselah
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;46 šūši&lt;br/&gt;(2760)&lt;/div&gt;
| rowspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;32 šūši&lt;br/&gt;(1920)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2702&lt;/div&gt;
| rowspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1919&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 14 (880)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 14 (840)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam
| rowspan=&quot;18&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;82 šūši&lt;br/&gt;(4920)&lt;/div&gt;
| rowspan=&quot;5&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;40 šūši&lt;br/&gt;(2400)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 16 (960)
| rowspan=&quot;18&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;4949&lt;/div&gt;
| rowspan=&quot;5&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2401&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 930

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 10 (600)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 7 (420)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Cainan (II)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 7 (420)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 433

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Eber
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;25 šūši&lt;br/&gt;(1500)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 8 (480)
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1525&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 464

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 4 (240)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 4 (240)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Serug
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 230

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 148

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Abraham
| rowspan=&quot;7&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;17 šūši&lt;br/&gt;(1020)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| rowspan=&quot;7&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1023&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 175

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Isaac
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jacob
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 147

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Levi
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kohath
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Amram
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 131

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Moses
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 120

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! style=&quot;text-align:left; color:black;&quot; | LIFESPAN&lt;br/&gt;DURATION&lt;br/&gt;SUM
| colspan=&quot;6&quot; | 210 šūši&lt;br/&gt;(12,600 years)
|}

== PT2 as the Base Model for Patriarchal Chronologies ==
The &quot;PT2&quot; chronology serves as the foundational model from which subsequent patriarchal lifespans in various textual traditions were derived. Evidence for this remains visible across nearly all biblical records, as they consistently preserve the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1).

* '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost.
* '''The Masoretic Text (MT):''' This tradition shifted 6 years from the &quot;Remainder&quot; to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block.
* '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši'''''.
* '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence.

The use of rounded Mesopotamian figures in the Armenian Eusebius Chronology suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the Septuagint's divergence indicates a later development—likely in Alexandria—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;

|+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum)
|-
! rowspan=&quot;2&quot; | Patriarch Groups
! rowspan=&quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;2&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;3&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! style=&quot;background-color:#e3f2fd;&quot; | Masoretic&lt;br/&gt;(MT)
! style=&quot;background-color:#e3f2fd;&quot; | Samaritan&lt;br/&gt;(SP)
! style=&quot;background-color:#fff3e0;&quot; | Josephus&lt;br/&gt;(94 AD)
! style=&quot;background-color:#fff3e0;&quot; | Eusebius&lt;br/&gt;(325 AD)
! style=&quot;background-color:#fff3e0;&quot; | Septuagint&lt;br/&gt;(LXX)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth to Enoch&lt;br/&gt;&lt;small&gt;(6 Patriarchs)&lt;/small&gt;
| colspan=&quot;2&quot; style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
| style=&quot;background-color:#f9f9f9;&quot; | 4834&lt;br/&gt;&lt;small&gt;(4949 - 115)&lt;/small&gt;
| colspan=&quot;3&quot; style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
|-

| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah, Lamech, Noah&lt;br/&gt;&lt;small&gt;(The Remainder)&lt;/small&gt;
| style=&quot;font-weight:bold; background-color:#f9f9f9;&quot; | 2702
| style=&quot;background-color:#f9f9f9;&quot; | 2696&lt;br/&gt;&lt;small&gt;(2702 - 6)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2323&lt;br/&gt;&lt;small&gt;(2702 - 379)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2626&lt;br/&gt;&lt;small&gt;(2702 - 76)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2642&lt;br/&gt;&lt;small&gt;(2702 - 60)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2672&lt;br/&gt;&lt;small&gt;(2702 - 30)&lt;/small&gt;
|-

| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam &amp; Shem to Moses&lt;br/&gt;&lt;small&gt;(The &quot;Second Half&quot;)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
| style=&quot;background-color:#f9f9f9;&quot; | 4955&lt;br/&gt;&lt;small&gt;(4949 + 6)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 4834&lt;br/&gt;&lt;small&gt;(4949 - 115)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | —
| style=&quot;background-color:#f9f9f9;&quot; | 5609&lt;br/&gt;&lt;small&gt;(4949 + 660)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 5930&lt;br/&gt;&lt;small&gt;(4949 + 981)&lt;/small&gt;

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:14px;&quot;
! LIFESPAN DURATION SUM
| colspan=&quot;2&quot; | 12,600
| 11,991
| —
| 13,200
| 13,551
|}
&lt;small&gt;* '''Dash (—)''' indicates where primary sources do not provide complete death data.&lt;/small&gt;

== Comparative Chronology Tables ==

The following table reconstructs lifespan values across multiple chronological traditions. While most values are derived directly from the primary source texts listed in the header, the '''Armenian Eusebius''' chronology does not explicitly record the lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that result in a patriarch surviving beyond the date of the Flood.
* &lt;span style=&quot;color:#333333;&quot;&gt;'''Blank Cells'''&lt;/span&gt; indicate where primary sources do not provide specific lifespan or death data.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! rowspan = &quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;1&quot; rowspan = &quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;2&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;3&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 912

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 905

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 910

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 895

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962
| 847
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969
| 720
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;6&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 777
| 653
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 707
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 723
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 753

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 930

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600
| rowspan=&quot;9&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438
| 538
| 535

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Cainan (II)
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —
| —
| 460

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 433
| 536
| 460

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Eber
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 464
| 404
| 567
| colspan=&quot;2&quot; | 404

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239
| colspan=&quot;2&quot; | 339

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239
| 342
| 339

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Serug
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 230
| colspan=&quot;2&quot; | 330

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 148
| 198
| 304

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205
| 145
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Abraham
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 175

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Isaac
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180
| 185
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jacob
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 147

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Levi
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137
| rowspan=&quot;3&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kohath
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Amram
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 131
| 137
| 136
| colspan=&quot;2&quot; | 132

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Moses
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 120

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! style=&quot;text-align:left; color:black;&quot; | LIFESPAN&lt;br/&gt;DURATION&lt;br/&gt;SUM
| colspan=&quot;2&quot; | 12,600
| colspan=&quot;1&quot; | 11,991
| —
| colspan=&quot;1&quot; | 13,200
| colspan=&quot;1&quot; | 13,551
|}

=== Samaritan Adjustments ===
Four of the pre-flood patriarchs—Jared, Methuselah, Lamech, and Noah—are credited with exceptionally long lives late in the chronology, which creates a potential overlap where these four patriarchs appear to survive Noah's flood. As shown in the above table, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. Other traditions do not employ this specific reduction, but all must address the issue of flood survival, as explained in later sections.

The required reduction in Jared's lifespan was '''115 years'''. Interestingly, as noted in the previous section, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the &quot;Group 1&quot; and &quot;Group 2&quot; patriarchs.

Specifically, this balance was achieved through the following adjustments:
* '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each).
* '''Amram's''' lifespan was increased by five years.

This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing.

=== Masoretic Adjustments ===

In the 2017 article, &quot;[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs],&quot; Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition:

&lt;blockquote&gt;&quot;The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)&quot;&lt;/blockquote&gt;

While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late &quot;tweak&quot; in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges:

&lt;blockquote&gt;&quot;Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above.&quot;&lt;/blockquote&gt;

==== ''Lectio Difficilior Potior'' ====
The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the &quot;harder reading is stronger&quot;) suggests that scribes tend to simplify or &quot;smooth&quot; texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life.

In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges:

* '''Year 500 (of Noah):''' Shem is born.
* '''Year 600 (of Noah):''' The Flood occurs.
* '''Year 700 (of Noah):''' Lamech dies.

This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a &quot;compressed chronology&quot; (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (53, 653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''183 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate &quot;balancing&quot; of total chronological years.

=== Armenian Eusebius Adjustments ===
Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 220 ''šūši'' (or 10 ''šūši'' more than the Masoretic Text). Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system.

Specifically, the following adjustments appear to have occurred for Group 2 patriarchs:
* '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years.
* '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years.
* '''Nahor''' had his lifespan increased by 50 years.
* '''Amram''' had his lifespan increased by 1 year.

The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''.

= It All Started With Grain =

[[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]]

The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the [https://www.biblicalarchaeology.org/daily/news/ancient-bread-jordan/ Black Desert of Jordan]. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops.

The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the &quot;firstfruits of your harvest&quot; (referring to barley) before the Lord:

&lt;blockquote&gt;&quot;then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord&quot;&lt;/blockquote&gt;

To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues:

&lt;blockquote&gt;&quot;And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord.&quot;&lt;/blockquote&gt;

[[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]]

These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the &quot;better things&quot; and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.

This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: 

&lt;blockquote&gt;&quot;And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye &lt;small&gt;(likely emmer wheat or spelt)&lt;/small&gt; were not smitten: for they were not grown up.&quot;&lt;/blockquote&gt;

This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. 

The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest).

=== The Mathematical Structure of Jubilees ===

The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of &quot;weeks&quot;:

* '''Week of Years:''' 7&lt;sup&gt;1&lt;/sup&gt; = 7 years
* '''Jubilee of Years:''' 7&lt;sup&gt;2&lt;/sup&gt; = 49 years
* '''Week of Jubilees:''' 7&lt;sup&gt;3&lt;/sup&gt; = 343 years
* '''Jubilee of Jubilees:''' 7&lt;sup&gt;4&lt;/sup&gt; = 2,401 years

The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land.

[[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]]

The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested &quot;Jubilee of Jubilees&quot; (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle.

* The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year.
* The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years.
* The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid.
* The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs.

== The Birth of Shem (A Digression) ==
Were Noah's sons born when Noah was 500 or 502?

==== The 502 Calculation ====
While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that &quot;Noah was 500 years old, and Noah begat Shem, Ham, and Japheth,&quot; this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: 
# Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). 
# Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10])

'''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples.

==== Competing Narratives ====
According to the Book of Jubilees 4:33, Shem was the oldest son, born in Noah's 500&lt;sup&gt;th&lt;/sup&gt; year, followed by Ham in the 502&lt;sup&gt;nd&lt;/sup&gt; year, and Japheth in the 505&lt;sup&gt;th&lt;/sup&gt;. This seems to be in contradiction with the Genesis narrative which places Shem as the second son in year 502.

==== ''Lectio Difficilior Potior'' ====

The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the harder reading is stronger) suggests that scribes tend to simplify or &quot;smooth&quot; texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life.

In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28%7Cversion=SPE Lamech’s 53rd year]. If we combine that with the 500-year figure for Noah's age at the birth of his sons and the [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB Septuagint figure of 753] for Lamech's death, a suspiciously neat pattern emerges:

* '''Year 500 (of Noah):''' Shem is born.
* '''Year 600 (of Noah):''' The Flood occurs.
* '''Year 700 (of Noah):''' Lamech dies.

This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a &quot;compressed chronology&quot; (500–600–700) is a hallmark of editorial smoothing—likely values adjusted during the introduction of the universal flood narrative to create a more &quot;perfect&quot; structure.

Applying ''Lectio Difficilior'', we can reasonably set aside the figures 53, 500, and 753 as being &quot;too structured to be true,&quot; shifting our focus to less symmetrical values such as '''502''' for Shem's birth.

== The Mathematical relationship between 40 and 49 ==

As noted previously, the ''Jubilees'' author envisions early Hebraic history within a &quot;Jubilee of Jubilees&quot; fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows:

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 (7-3)(7+3) &amp;=  7^2 - 3^2 \\
 &amp;= 49 - 9 \\
 &amp;= 40
\end{aligned}
&lt;/math&gt;

The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40.

[[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] 

Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years):

[[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]]

&lt;div style=&quot;line-height: 1.5;&quot;&gt;
* '''Book of Jubilees (Adam to Canaan)'''
** Pre-Flood Patriarch years:
*:&lt;math display=&quot;block&quot;&gt;\frac{7^4 - 1}{2} + 3^2 = 1200 + 9 = 1209&lt;/math&gt;
** Post-Flood Patriarch years:
*:&lt;math display=&quot;block&quot;&gt;\frac{7^4 + 1}{2} + (7^2 - 3^2) = 1201 + 40 = 1241&lt;/math&gt;
** Total Years:
*:&lt;math display=&quot;block&quot;&gt;7^4 + 7^2 = 2401 + 49 = 2450&lt;/math&gt;
&lt;/div&gt;

== The Samaritan Pentateuch Connection ==
Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition.

[[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]]

=== Determining Chronological Priority ===
A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem is born in year 1207 (reconstructed as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 &quot;Jubilee of Jubilees.&quot;

This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's &quot;pivot&quot; position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment.

=== The 350-Year Symmetrical Extension ===
Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a &quot;week of Jubilees&quot; (343 years) plus a &quot;week of years&quot; (7 years).

&lt;div style=&quot;line-height: 1.5;&quot;&gt;
* '''Book of Jubilees (Adam to Canaan):'''
:&lt;math display=&quot;block&quot;&gt;7^4 + 7^2 = 2401 + 49 = 2450 \text{ years}&lt;/math&gt;

* '''Samaritan Pentateuch (Adam to Conquest):'''
:&lt;math display=&quot;block&quot;&gt;\begin{aligned} \text{(Base 49): } &amp; 7^4 + 7^3 + 7^2 + 7^1 = 2401 + 343 + 49 + 7 = 2800 \\ \text{(Base 40): } &amp; 70 \times 40 = 2800 \end{aligned}&lt;/math&gt;
&lt;/div&gt;

=== Mathematical Structure of the Early Samaritan Chronology ===
To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each):

* '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''.
* '''The second cluster''' represents a second millennium.
* '''The final set''' contains 20 blocks (4x5), representing '''800 years'''.

Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record.


[[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]]

== Living in the Rough ==

[[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]]

As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a &quot;generation&quot;) are less clear, but the number is consistently associated with &quot;living in the rough&quot;—periods of trial, transition, or exile away from the comforts of civilization. 

Examples of this pattern include:
* '''Noah''' lived within the ark for 40 days while the rain fell; 
* '''Israel''' wandered in the wilderness for 40 years; 
* '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. 

Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era.

Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the &quot;civilized&quot; city.

In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means &quot;supplanter&quot;—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a &quot;skillful hunter&quot; and a &quot;man of the field,&quot; while Jacob is &quot;dwelling in tents&quot; and cooking &quot;lentil stew.&quot;

The text draws a clear parallel between these two sets of brothers:
* In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. 
* In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this &quot;clever&quot; intervention, Jacob successfully secures the favor that Cain could not.

Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. 

This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the &quot;rough&quot; of the wilderness.

Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three &quot;generations&quot; (3 x 40).

The relationship between these two &quot;three-fold&quot; lifespans can be expressed by the same nine-year offset identified in the Shem chronology:

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 49 - 9 &amp;= 40 \\
 3(49 - 9) &amp;= 3(40) \\
 147 - 27 &amp;= 120
\end{aligned}
&lt;/math&gt;

[[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] 

Samaritan tradition maintains a unique cultural link to the &quot;pastoralist&quot; ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the &quot;grain-based&quot; agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to &quot;wilderness living,&quot; the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit.

=== A narrative foil for Joshua ===
As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a &quot;foil&quot; for Jacob: Moses lived exactly three &quot;generations&quot; (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization.

This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding &quot;foil&quot; to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam?

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 49 - 9 &amp;= 40 \\
 70(49 - 9) &amp;= 70(40) \\
 3,430 - 630 &amp;= 2,800
\end{aligned}
&lt;/math&gt;

Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific &quot;foil&quot; to Joshua existed in the original architect's mind.

The Samaritans do maintain a continuous, running calendar. However, this system uses a &quot;Conquest Era&quot; epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. For instance, at that time, the [[w:Hyksos|Hyksos]] were only beginning to establish control over Lower Egypt. Furthermore, the [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC.

There is, however, one more possibility to consider: what if the &quot;irreconcilable&quot; nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent &quot;foil&quot; event occurred exactly 3,430 years after Creation? 

As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare &quot;smoking gun&quot; for the artificial design of the chronology.

=== A Mystery Solved ===
In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest.

The significant milestones in this timeline include:
* '''Year 1''': &quot;This year the world and Adam were created.&quot; 
* '''Year 2801''': &quot;The first year of Israel's rule in the land of Canaan.&quot; 
* '''Year 3423''': &quot;The commencement of the kingdom of Solomon.&quot;

According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological &quot;anchor&quot; was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself.

In Creation Year 2800—marking exactly 70 &quot;generations&quot; of 40 years—God entered Canaan in a tent, embodying the &quot;living rough&quot; wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 &quot;Jubilees&quot; of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70&lt;sup&gt;th&lt;/sup&gt; generation to the 70&lt;sup&gt;th&lt;/sup&gt; Jubilee:

:&lt;math&gt;70 \times 40 + (70 \times 9) = 70 \times 49&lt;/math&gt;

=== Mathematical Structure of the Later Samaritan Chronology ===
The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years:

* '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation.
* '''The second cluster''' spans years '''3,000 to 4,000''' after Creation.
* '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation.

The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year &quot;Tabernacle&quot; era''', which is composed of:
* The 40 years of wandering in the wilderness;
* The 6 years of the initial conquest;
* The 630 years between the conquest and the completion of Solomon’s Temple.

Following the '''676-year &quot;Tabernacle&quot; era''' is a '''400-year &quot;First Temple&quot; era''' and a '''70-year &quot;Exile&quot; era''' as detailed in the historical breakdown below.

[[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]]

The Book of Daniel states: &quot;In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it&quot; (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''.

The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure.

High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. 

Using this synchronization, other significant milestones are mapped as follows:
* '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''.
* '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''.
* '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''.

High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year &quot;Second Temple Persian Era&quot; (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. 

The remainder of the diagram represents a 300-year &quot;Second Temple Hellenistic Era,&quot; which concludes in '''Creation Year 4400''' (30 BC).

=== Competing Temples ===
There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year &quot;Second Temple Persian Era&quot; (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework.

According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple:

&lt;blockquote&gt;&quot;But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel&quot; (Ezra 4:3).&lt;/blockquote&gt;

After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population.

[[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]]

This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC.

= The Rise of Zadok =
The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years:

* '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation.
* '''The second cluster''' spans years '''3,000 to 4,000''' after Creation.
* '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation.

The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section.  Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness.  To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event.

[[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]]

The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000.

= Hellenized Jews =
Hellenized Jews were
ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint.
= Start TBD =

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! rowspan = &quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;1&quot; rowspan = &quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962
| 847
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969
| 720
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 777
| 653
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 707
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 723
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 753

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;6&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600
| rowspan=&quot;9&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438
| 538
| 535

|}

= End TBD =

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that could result in patriarchs surviving beyond the date of the Flood.
* &lt;span style=&quot;color:#333333;&quot;&gt;'''Blank Cells'''&lt;/span&gt; indicate where primary sources do not provide specific lifespan or death data.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;&quot;
|+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son)

|-
! rowspan=&quot;2&quot; colspan=&quot;1&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Adam
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 130
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 230

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Seth
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 105
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 205

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 90
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 190

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 70
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 170

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 66
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | 65
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 165

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 61
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 162
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 62
| colspan=&quot;6&quot; style=&quot;background-color:#f9f9f9;&quot; | 162

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 65
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 165

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 65
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 187
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 67
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 167 / 187
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 167
| colspan=&quot;2&quot; style=&quot;background-color:#f9f9f9;&quot; | 187

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 55
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 182
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 53
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 182 / 188
| colspan=&quot;5&quot; style=&quot;background-color:#f9f9f9;&quot; | 188

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;9&quot; style=&quot;background-color:#e8e8e8;&quot; | 500 .. 502

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot; style=&quot;text-align:left; color:black;&quot; | Pre-Flood TOTAL
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 1556
| colspan=&quot;1&quot; | 1209
| colspan=&quot;3&quot; | Varied
| colspan=&quot;1&quot; | 2142
| colspan=&quot;1&quot; | 2162
| colspan=&quot;1&quot; | 2164
|}

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;&quot;

|+ Comparison of Post-Flood Chronological Traditions (Age at birth of son)
|-
! colspan=&quot;1&quot; rowspan=&quot;2&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot;  style=&quot;text-align:left; color:black;&quot; | Pre-Flood
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 1556
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 2164
| colspan=&quot;1&quot; | 2162
| colspan=&quot;1&quot; | 2142
| colspan=&quot;3&quot; | Varied

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 100
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 112

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Arphaxad
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 66
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 35
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 135

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Cainan II
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 57
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 130
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 130
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 71
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Eber
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 64
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 34
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 134

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 61
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 59
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 32
| colspan=&quot;5&quot; style=&quot;background-color:#e8e8e8;&quot; | 132
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 135
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Serug	
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 57
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 130
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 132

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 62
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 29
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 79
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 75
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 79 / 179
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 79
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 120

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;9&quot; style=&quot;background-color:#e8e8e8;&quot; | 70

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Abram
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 78
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 75

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Canaan
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 218
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 215

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Egypt
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 238
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 430
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 215
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 430
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 215
|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Sinai +/-
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 40
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | -
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 46
| colspan=&quot;4&quot; style=&quot;background-color:#e8e8e8;&quot; | 40

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot; style=&quot;text-align:left; color:black;&quot; | GRAND TOTAL
| colspan=&quot;1&quot; | 2450
| colspan=&quot;1&quot; | 2666
| colspan=&quot;1&quot; | 2800
| colspan=&quot;1&quot; | 3885
| colspan=&quot;1&quot; | 3754
| colspan=&quot;1&quot; | 3938
| colspan=&quot;3&quot; | Varied
|}

== The Septuagint Chronology ==

While the chronologies of the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' are anchored in Levant-based agricultural cycles and the symbolic interplay of the numbers 40 and 49, the Septuagint (LXX) appears to have been structured around a different set of priorities. Specifically, the LXX's chronological framework seems designed to resolve a significant textual difficulty: the mathematical anomaly of patriarchs potentially outliving the Flood. In the 2017 article, ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', author Paul D. makes the following statement regarding the Septuagint:

&lt;blockquote&gt;“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”&lt;/blockquote&gt;

While Paul D.’s &quot;Whoops Theory&quot; suggests the LXX editor intended to &quot;fix&quot; the timeline but failed in the case of Methuselah, this interpretation potentially overlooks the systemic nature of the changes. If an editor is methodical enough to systematically alter multiple generations by exactly one hundred years, a single &quot;failure&quot; to fix Methuselah could suggest the avoidance of a post-Flood death was not the primary objective.

Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': 

&lt;blockquote&gt;&quot;Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years.&quot;&lt;/blockquote&gt; 

This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development.

=== Demetrius the Chronographer ===
Demetrius the Chronographer, writing as early as the late 3rd century BC (c. 221 BC), represents the earliest known witness to biblical chronological calculations. While only fragments of his work remain, they are significant; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. This presumably places the birth of Shem at 2,164 years—exactly one hundred years before the Flood—aligning his data with the &quot;Long Chronology&quot; of the Septuagint.

In the comment section of the original article, in response to evidence regarding this longer tradition (provided by commenter Roger Quill), Paul D. reaffirms his &quot;Whoops Theory&quot; by challenging the validity of various witnesses to the 187-year begettal age of Methuselah. In this view, Codex Alexandrinus is seen as the lone legitimate witness, while others are discounted: 

* '''Josephus:''' Characterized as dependent on the Masoretic tradition.
* '''Pseudo-Philo:''' Dismissed due to textual corruption (&quot;a real mess&quot;).
* '''Julius Africanus:''' Questioned because his records survive only through the later intermediary, Syncellus.
* '''Demetrius:''' Rejected as a witness because his chronology contains an additional 22 years (rather than the typical 20-year variance) whose precise placement remains unknown.

The claim that Julius Africanus is invalidated due to his survival through an intermediary, or that Demetrius is disqualified by a 22-year variance, is arguably overstated. A plausible explanation for the discrepancy in Demetrius's chronology is the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can easily account for such variances without necessitating the rejection of the witnesses.

=== The Correlations ===
An interesting piece of corroborating evidence exists in the previously mentioned 1864 publication by Rev. John Mills, ''Three Months' Residence at Nablus'', where High Priest Amram records his own chronological dates based on the Samaritan Pentateuch. Priest Amram lists the Flood date as 1307 years after creation, but then lists the birth of Arphaxad as 1309 years—exactly two years after the Flood—which presumably places Shem's birth in year 502 of Noah's life (though Shem's actual birth date in the text is obscured by a typo).

The internal tension in Priest Amram's calculations likely reflects the same two-year variance seen between Demetrius and Africanus. Priest Amram lists the birth years of Shelah, Eber, and Peleg as 1444, 1574, and 1708, respectively. Africanus lists those same birth years as 2397, 2527, and 2661. In each case, the Priest Amram figure differs from the Africanus value by exactly 953 years. While the chronology of Africanus may reach us through an intermediary, as Paul D. notes, the values provided by both Demetrius and Africanus are precisely what one would anticipate to resolve the &quot;Universal Flood&quot; problem.


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      <text bytes="86788" sha1="nqkl3rnkpg80age20tbd9ccvjmbfldf" xml:space="preserve">{{Original research}}
This page evaluates and extends the mathematical insights presented in the 2017 article, ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'' by Paul D. While the original article provides a compelling foundation, this analysis identifies areas where the underlying data and mathematical evidence are more robust than initially presented. The following sections aim to clarify these findings and offer a more precise structural framework.

== Summary of Main Arguments ==
The ages of the patriarchs in Genesis are not intended as historical records, but as a complex symbolic mathematical structure designed by ancient authors. Key points include:

* '''Artificial Mathematical Design:''' Patriarchal ages and event years are based on symbolic or &quot;perfect&quot; numbers (such as 7, 49, and 60) rather than biological or historical reality.
* '''Alignment with Sacred Cycles:''' The chronologies are designed to align significant events—such as the Exodus and the dedication of Solomon’s Temple—with specific &quot;years of the world&quot; (''Anno Mundi''), synchronizing human history with a divine calendar.
* '''The Universal Flood as a Later Insertion:''' Evidence suggests the universal scope of Noah's Flood was a later addition to a patriarchal foundation story. This insertion disrupted the original timelines, forcing recalibrations in the Masoretic Text (MT), Samaritan Pentateuch (SP), and Septuagint (LXX) to avoid chronological contradictions.
* '''Chronological Overlaps:''' In the original numerical framework (prior to recalibration for a universal flood), the mathematical structures resulted in overlaps where certain patriarchs, such as Methuselah, survived beyond the date of the Flood.

= Arichat Yamim =

Most of the patriarchs' lifespans in the Hebrew Bible far exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101).

This phenomenon is difficult to explain, as no known ancient number system features &quot;101&quot; as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle.
 
In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a &quot;perfect&quot; Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows:

*:&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
\frac{7\,\text{šar}}{2} &amp;= 3\,\text{šar}\,\,30\,\text{šūši}  \\ 
&amp;= \left(3 \times 60^2 \, \text{years} \right) + \left(30 \times 60^1 \,\text{years} \right) \\ 
&amp;= 10,800 \, \text{years} + 1,800 \, \text{years} \\
&amp;= 12,600 \, \text{years}
\end{aligned}
&lt;/math&gt;

This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60).

==== Prototype 1: Initial &quot;Mesopotamian&quot; Allocation ====

----

&lt;div style=&quot;background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;&quot;&gt;
The initial &quot;PT1&quot; framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''):

* '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49).
* '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''.
* '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920).
&lt;/div&gt;

----

==== Prototype 2: Refined &quot;Jubilee&quot; Allocation ====

----

&lt;div style=&quot;background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;&quot;&gt;
Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the &quot;Remainder&quot; to each of the two primary groups. This resulted in the &quot;PT2&quot; figures as follows:

* '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees).
* '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees).
* '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949).
&lt;/div&gt;

----

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that result in a patriarch surviving beyond the date of the Flood.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e0f2f1; border-bottom:2px solid #009688;&quot; | PROTOTYPE 1&lt;br/&gt;(PT1)
! colspan=&quot;3&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PROTOTYPE 2&lt;br/&gt;(PT2)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;82 šūši&lt;br/&gt;(4920)&lt;/div&gt;
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;45 šūši&lt;br/&gt;(2700)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;4949&lt;/div&gt;
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2727&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 912

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 905

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 910

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;37 šūši&lt;br/&gt;(2220)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2222&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 895

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 6 (360)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot;  | Methuselah
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;46 šūši&lt;br/&gt;(2760)&lt;/div&gt;
| rowspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;32 šūši&lt;br/&gt;(1920)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2702&lt;/div&gt;
| rowspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1919&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 14 (880)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 14 (840)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam
| rowspan=&quot;18&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;82 šūši&lt;br/&gt;(4920)&lt;/div&gt;
| rowspan=&quot;5&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;40 šūši&lt;br/&gt;(2400)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 16 (960)
| rowspan=&quot;18&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;4949&lt;/div&gt;
| rowspan=&quot;5&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2401&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 930

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 10 (600)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 7 (420)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Cainan (II)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 7 (420)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 433

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Eber
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;25 šūši&lt;br/&gt;(1500)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 8 (480)
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1525&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 464

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 4 (240)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 4 (240)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Serug
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 230

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 148

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Abraham
| rowspan=&quot;7&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;17 šūši&lt;br/&gt;(1020)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| rowspan=&quot;7&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1023&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 175

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Isaac
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jacob
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 147

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Levi
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kohath
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Amram
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 131

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Moses
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 120

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! style=&quot;text-align:left; color:black;&quot; | LIFESPAN&lt;br/&gt;DURATION&lt;br/&gt;SUM
| colspan=&quot;6&quot; | 210 šūši&lt;br/&gt;(12,600 years)
|}

== PT2 as the Base Model for Patriarchal Chronologies ==
The &quot;PT2&quot; chronology serves as the foundational model from which subsequent patriarchal lifespans in various textual traditions were derived. Evidence for this remains visible across nearly all biblical records, as they consistently preserve the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1).

* '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost.
* '''The Masoretic Text (MT):''' This tradition shifted 6 years from the &quot;Remainder&quot; to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block.
* '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši'''''.
* '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence.

The use of rounded Mesopotamian figures in the Armenian Eusebius Chronology suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the Septuagint's divergence indicates a later development—likely in Alexandria—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;

|+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum)
|-
! rowspan=&quot;2&quot; | Patriarch Groups
! rowspan=&quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;2&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;3&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! style=&quot;background-color:#e3f2fd;&quot; | Masoretic&lt;br/&gt;(MT)
! style=&quot;background-color:#e3f2fd;&quot; | Samaritan&lt;br/&gt;(SP)
! style=&quot;background-color:#fff3e0;&quot; | Josephus&lt;br/&gt;(94 AD)
! style=&quot;background-color:#fff3e0;&quot; | Eusebius&lt;br/&gt;(325 AD)
! style=&quot;background-color:#fff3e0;&quot; | Septuagint&lt;br/&gt;(LXX)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth to Enoch&lt;br/&gt;&lt;small&gt;(6 Patriarchs)&lt;/small&gt;
| colspan=&quot;2&quot; style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
| style=&quot;background-color:#f9f9f9;&quot; | 4834&lt;br/&gt;&lt;small&gt;(4949 - 115)&lt;/small&gt;
| colspan=&quot;3&quot; style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
|-

| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah, Lamech, Noah&lt;br/&gt;&lt;small&gt;(The Remainder)&lt;/small&gt;
| style=&quot;font-weight:bold; background-color:#f9f9f9;&quot; | 2702
| style=&quot;background-color:#f9f9f9;&quot; | 2696&lt;br/&gt;&lt;small&gt;(2702 - 6)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2323&lt;br/&gt;&lt;small&gt;(2702 - 379)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2626&lt;br/&gt;&lt;small&gt;(2702 - 76)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2642&lt;br/&gt;&lt;small&gt;(2702 - 60)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2672&lt;br/&gt;&lt;small&gt;(2702 - 30)&lt;/small&gt;
|-

| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam &amp; Shem to Moses&lt;br/&gt;&lt;small&gt;(The &quot;Second Half&quot;)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
| style=&quot;background-color:#f9f9f9;&quot; | 4955&lt;br/&gt;&lt;small&gt;(4949 + 6)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 4834&lt;br/&gt;&lt;small&gt;(4949 - 115)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | —
| style=&quot;background-color:#f9f9f9;&quot; | 5609&lt;br/&gt;&lt;small&gt;(4949 + 660)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 5930&lt;br/&gt;&lt;small&gt;(4949 + 981)&lt;/small&gt;

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:14px;&quot;
! LIFESPAN DURATION SUM
| colspan=&quot;2&quot; | 12,600
| 11,991
| —
| 13,200
| 13,551
|}
&lt;small&gt;* '''Dash (—)''' indicates where primary sources do not provide complete death data.&lt;/small&gt;

== Comparative Chronology Tables ==

The following table reconstructs lifespan values across multiple chronological traditions. While most values are derived directly from the primary source texts listed in the header, the '''Armenian Eusebius''' chronology does not explicitly record the lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that result in a patriarch surviving beyond the date of the Flood.
* &lt;span style=&quot;color:#333333;&quot;&gt;'''Blank Cells'''&lt;/span&gt; indicate where primary sources do not provide specific lifespan or death data.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! rowspan = &quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;1&quot; rowspan = &quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;2&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;3&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 912

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 905

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 910

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 895

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962
| 847
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969
| 720
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;6&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 777
| 653
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 707
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 723
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 753

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 930

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600
| rowspan=&quot;9&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438
| 538
| 535

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Cainan (II)
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —
| —
| 460

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 433
| 536
| 460

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Eber
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 464
| 404
| 567
| colspan=&quot;2&quot; | 404

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239
| colspan=&quot;2&quot; | 339

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239
| 342
| 339

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Serug
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 230
| colspan=&quot;2&quot; | 330

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 148
| 198
| 304

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205
| 145
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Abraham
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 175

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Isaac
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180
| 185
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jacob
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 147

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Levi
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137
| rowspan=&quot;3&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kohath
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Amram
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 131
| 137
| 136
| colspan=&quot;2&quot; | 132

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Moses
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 120

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! style=&quot;text-align:left; color:black;&quot; | LIFESPAN&lt;br/&gt;DURATION&lt;br/&gt;SUM
| colspan=&quot;2&quot; | 12,600
| colspan=&quot;1&quot; | 11,991
| —
| colspan=&quot;1&quot; | 13,200
| colspan=&quot;1&quot; | 13,551
|}

=== Samaritan Adjustments ===
Four of the pre-flood patriarchs—Jared, Methuselah, Lamech, and Noah—are credited with exceptionally long lives late in the chronology, which creates a potential overlap where these four patriarchs appear to survive Noah's flood. As shown in the above table, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. Other traditions do not employ this specific reduction, but all must address the issue of flood survival, as explained in later sections.

The required reduction in Jared's lifespan was '''115 years'''. Interestingly, as noted in the previous section, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the &quot;Group 1&quot; and &quot;Group 2&quot; patriarchs.

Specifically, this balance was achieved through the following adjustments:
* '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each).
* '''Amram's''' lifespan was increased by five years.

This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing.

=== Masoretic Adjustments ===

In the 2017 article, &quot;[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs],&quot; Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition:

&lt;blockquote&gt;&quot;The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)&quot;&lt;/blockquote&gt;

While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late &quot;tweak&quot; in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges:

&lt;blockquote&gt;&quot;Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above.&quot;&lt;/blockquote&gt;

==== ''Lectio Difficilior Potior'' ====
The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the &quot;harder reading is stronger&quot;) suggests that scribes tend to simplify or &quot;smooth&quot; texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life.

In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges:

* '''Year 500 (of Noah):''' Shem is born.
* '''Year 600 (of Noah):''' The Flood occurs.
* '''Year 700 (of Noah):''' Lamech dies.

This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a &quot;compressed chronology&quot; (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (53, 653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''183 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate &quot;balancing&quot; of total chronological years.

=== Armenian Eusebius Adjustments ===
Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 220 ''šūši'' (or 10 ''šūši'' more than the Masoretic Text). Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system.

Specifically, the following adjustments appear to have occurred for Group 2 patriarchs:
* '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years.
* '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years.
* '''Nahor''' had his lifespan increased by 50 years.
* '''Amram''' had his lifespan increased by 1 year.

The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''.

= It All Started With Grain =

[[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]]

The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the [https://www.biblicalarchaeology.org/daily/news/ancient-bread-jordan/ Black Desert of Jordan]. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops.

The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the &quot;firstfruits of your harvest&quot; (referring to barley) before the Lord:

&lt;blockquote&gt;&quot;then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord&quot;&lt;/blockquote&gt;

To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues:

&lt;blockquote&gt;&quot;And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord.&quot;&lt;/blockquote&gt;

[[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]]

These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the &quot;better things&quot; and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.

This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: 

&lt;blockquote&gt;&quot;And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye &lt;small&gt;(likely emmer wheat or spelt)&lt;/small&gt; were not smitten: for they were not grown up.&quot;&lt;/blockquote&gt;

This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. 

The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest).

=== The Mathematical Structure of Jubilees ===

The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of &quot;weeks&quot;:

* '''Week of Years:''' 7&lt;sup&gt;1&lt;/sup&gt; = 7 years
* '''Jubilee of Years:''' 7&lt;sup&gt;2&lt;/sup&gt; = 49 years
* '''Week of Jubilees:''' 7&lt;sup&gt;3&lt;/sup&gt; = 343 years
* '''Jubilee of Jubilees:''' 7&lt;sup&gt;4&lt;/sup&gt; = 2,401 years

The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land.

[[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]]

The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested &quot;Jubilee of Jubilees&quot; (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle.

* The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year.
* The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years.
* The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid.
* The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs.

== The Birth of Shem (A Digression) ==
Were Noah's sons born when Noah was 500 or 502?

==== The 502 Calculation ====
While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that &quot;Noah was 500 years old, and Noah begat Shem, Ham, and Japheth,&quot; this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: 
# Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). 
# Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10])

'''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples.

==== Competing Narratives ====
According to the Book of Jubilees 4:33, Shem was the oldest son, born in Noah's 500&lt;sup&gt;th&lt;/sup&gt; year, followed by Ham in the 502&lt;sup&gt;nd&lt;/sup&gt; year, and Japheth in the 505&lt;sup&gt;th&lt;/sup&gt;. This seems to be in contradiction with the Genesis narrative which places Shem as the second son in year 502.

==== ''Lectio Difficilior Potior'' ====

The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the harder reading is stronger) suggests that scribes tend to simplify or &quot;smooth&quot; texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life.

In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28%7Cversion=SPE Lamech’s 53rd year]. If we combine that with the 500-year figure for Noah's age at the birth of his sons and the [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB Septuagint figure of 753] for Lamech's death, a suspiciously neat pattern emerges:

* '''Year 500 (of Noah):''' Shem is born.
* '''Year 600 (of Noah):''' The Flood occurs.
* '''Year 700 (of Noah):''' Lamech dies.

This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a &quot;compressed chronology&quot; (500–600–700) is a hallmark of editorial smoothing—likely values adjusted during the introduction of the universal flood narrative to create a more &quot;perfect&quot; structure.

Applying ''Lectio Difficilior'', we can reasonably set aside the figures 53, 500, and 753 as being &quot;too structured to be true,&quot; shifting our focus to less symmetrical values such as '''502''' for Shem's birth.

== The Mathematical relationship between 40 and 49 ==

As noted previously, the ''Jubilees'' author envisions early Hebraic history within a &quot;Jubilee of Jubilees&quot; fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows:

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 (7-3)(7+3) &amp;=  7^2 - 3^2 \\
 &amp;= 49 - 9 \\
 &amp;= 40
\end{aligned}
&lt;/math&gt;

The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40.

[[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] 

Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years):

[[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]]

&lt;div style=&quot;line-height: 1.5;&quot;&gt;
* '''Book of Jubilees (Adam to Canaan)'''
** Pre-Flood Patriarch years:
*:&lt;math display=&quot;block&quot;&gt;\frac{7^4 - 1}{2} + 3^2 = 1200 + 9 = 1209&lt;/math&gt;
** Post-Flood Patriarch years:
*:&lt;math display=&quot;block&quot;&gt;\frac{7^4 + 1}{2} + (7^2 - 3^2) = 1201 + 40 = 1241&lt;/math&gt;
** Total Years:
*:&lt;math display=&quot;block&quot;&gt;7^4 + 7^2 = 2401 + 49 = 2450&lt;/math&gt;
&lt;/div&gt;

== The Samaritan Pentateuch Connection ==
Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition.

[[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]]

=== Determining Chronological Priority ===
A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem is born in year 1207 (reconstructed as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 &quot;Jubilee of Jubilees.&quot;

This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's &quot;pivot&quot; position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment.

=== The 350-Year Symmetrical Extension ===
Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a &quot;week of Jubilees&quot; (343 years) plus a &quot;week of years&quot; (7 years).

&lt;div style=&quot;line-height: 1.5;&quot;&gt;
* '''Book of Jubilees (Adam to Canaan):'''
:&lt;math display=&quot;block&quot;&gt;7^4 + 7^2 = 2401 + 49 = 2450 \text{ years}&lt;/math&gt;

* '''Samaritan Pentateuch (Adam to Conquest):'''
:&lt;math display=&quot;block&quot;&gt;\begin{aligned} \text{(Base 49): } &amp; 7^4 + 7^3 + 7^2 + 7^1 = 2401 + 343 + 49 + 7 = 2800 \\ \text{(Base 40): } &amp; 70 \times 40 = 2800 \end{aligned}&lt;/math&gt;
&lt;/div&gt;

=== Mathematical Structure of the Early Samaritan Chronology ===
To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each):

* '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''.
* '''The second cluster''' represents a second millennium.
* '''The final set''' contains 20 blocks (4x5), representing '''800 years'''.

Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record.


[[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]]

== Living in the Rough ==

[[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]]

As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a &quot;generation&quot;) are less clear, but the number is consistently associated with &quot;living in the rough&quot;—periods of trial, transition, or exile away from the comforts of civilization. 

Examples of this pattern include:
* '''Noah''' lived within the ark for 40 days while the rain fell; 
* '''Israel''' wandered in the wilderness for 40 years; 
* '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. 

Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era.

Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the &quot;civilized&quot; city.

In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means &quot;supplanter&quot;—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a &quot;skillful hunter&quot; and a &quot;man of the field,&quot; while Jacob is &quot;dwelling in tents&quot; and cooking &quot;lentil stew.&quot;

The text draws a clear parallel between these two sets of brothers:
* In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. 
* In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this &quot;clever&quot; intervention, Jacob successfully secures the favor that Cain could not.

Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. 

This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the &quot;rough&quot; of the wilderness.

Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three &quot;generations&quot; (3 x 40).

The relationship between these two &quot;three-fold&quot; lifespans can be expressed by the same nine-year offset identified in the Shem chronology:

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 49 - 9 &amp;= 40 \\
 3(49 - 9) &amp;= 3(40) \\
 147 - 27 &amp;= 120
\end{aligned}
&lt;/math&gt;

[[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] 

Samaritan tradition maintains a unique cultural link to the &quot;pastoralist&quot; ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the &quot;grain-based&quot; agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to &quot;wilderness living,&quot; the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit.

=== A narrative foil for Joshua ===
As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a &quot;foil&quot; for Jacob: Moses lived exactly three &quot;generations&quot; (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization.

This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding &quot;foil&quot; to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam?

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 49 - 9 &amp;= 40 \\
 70(49 - 9) &amp;= 70(40) \\
 3,430 - 630 &amp;= 2,800
\end{aligned}
&lt;/math&gt;

Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific &quot;foil&quot; to Joshua existed in the original architect's mind.

The Samaritans do maintain a continuous, running calendar. However, this system uses a &quot;Conquest Era&quot; epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. For instance, at that time, the [[w:Hyksos|Hyksos]] were only beginning to establish control over Lower Egypt. Furthermore, the [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC.

There is, however, one more possibility to consider: what if the &quot;irreconcilable&quot; nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent &quot;foil&quot; event occurred exactly 3,430 years after Creation? 

As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare &quot;smoking gun&quot; for the artificial design of the chronology.

=== A Mystery Solved ===
In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest.

The significant milestones in this timeline include:
* '''Year 1''': &quot;This year the world and Adam were created.&quot; 
* '''Year 2801''': &quot;The first year of Israel's rule in the land of Canaan.&quot; 
* '''Year 3423''': &quot;The commencement of the kingdom of Solomon.&quot;

According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological &quot;anchor&quot; was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself.

In Creation Year 2800—marking exactly 70 &quot;generations&quot; of 40 years—God entered Canaan in a tent, embodying the &quot;living rough&quot; wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 &quot;Jubilees&quot; of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70&lt;sup&gt;th&lt;/sup&gt; generation to the 70&lt;sup&gt;th&lt;/sup&gt; Jubilee:

:&lt;math&gt;70 \times 40 + (70 \times 9) = 70 \times 49&lt;/math&gt;

=== Mathematical Structure of the Later Samaritan Chronology ===
The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years:

* '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation.
* '''The second cluster''' spans years '''3,000 to 4,000''' after Creation.
* '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation.

The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year &quot;Tabernacle&quot; era''', which is composed of:
* The 40 years of wandering in the wilderness;
* The 6 years of the initial conquest;
* The 630 years between the conquest and the completion of Solomon’s Temple.

Following the '''676-year &quot;Tabernacle&quot; era''' is a '''400-year &quot;First Temple&quot; era''' and a '''70-year &quot;Exile&quot; era''' as detailed in the historical breakdown below.

[[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]]

The Book of Daniel states: &quot;In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it&quot; (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''.

The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure.

High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. 

Using this synchronization, other significant milestones are mapped as follows:
* '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''.
* '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''.
* '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''.

High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year &quot;Second Temple Persian Era&quot; (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. 

The remainder of the diagram represents a 300-year &quot;Second Temple Hellenistic Era,&quot; which concludes in '''Creation Year 4400''' (30 BC).

=== Competing Temples ===
There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year &quot;Second Temple Persian Era&quot; (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework.

According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple:

&lt;blockquote&gt;&quot;But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel&quot; (Ezra 4:3).&lt;/blockquote&gt;

After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population.

[[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]]

This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC.

= The Rise of Zadok =
The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years:

* '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation.
* '''The second cluster''' spans years '''3,000 to 4,000''' after Creation.
* '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation.

The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section.  Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness.  To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event.

[[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]]

The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000.

= Hellenized Jews =
Hellenized Jews were
ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint.
= Start TBD =

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! rowspan = &quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;1&quot; rowspan = &quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | — &lt;br/&gt; (847)
| 847 &lt;br/&gt; (847)
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969
| 720
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 777
| 653
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 707
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 723
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 753

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;6&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600
| rowspan=&quot;9&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438
| 538
| 535

|}

= End TBD =

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that could result in patriarchs surviving beyond the date of the Flood.
* &lt;span style=&quot;color:#333333;&quot;&gt;'''Blank Cells'''&lt;/span&gt; indicate where primary sources do not provide specific lifespan or death data.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;&quot;
|+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son)

|-
! rowspan=&quot;2&quot; colspan=&quot;1&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Adam
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 130
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 230

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Seth
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 105
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 205

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 90
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 190

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 70
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 170

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 66
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | 65
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 165

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 61
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 162
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 62
| colspan=&quot;6&quot; style=&quot;background-color:#f9f9f9;&quot; | 162

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 65
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 165

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 65
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 187
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 67
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 167 / 187
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 167
| colspan=&quot;2&quot; style=&quot;background-color:#f9f9f9;&quot; | 187

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 55
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 182
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 53
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 182 / 188
| colspan=&quot;5&quot; style=&quot;background-color:#f9f9f9;&quot; | 188

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;9&quot; style=&quot;background-color:#e8e8e8;&quot; | 500 .. 502

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot; style=&quot;text-align:left; color:black;&quot; | Pre-Flood TOTAL
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 1556
| colspan=&quot;1&quot; | 1209
| colspan=&quot;3&quot; | Varied
| colspan=&quot;1&quot; | 2142
| colspan=&quot;1&quot; | 2162
| colspan=&quot;1&quot; | 2164
|}

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;&quot;

|+ Comparison of Post-Flood Chronological Traditions (Age at birth of son)
|-
! colspan=&quot;1&quot; rowspan=&quot;2&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot;  style=&quot;text-align:left; color:black;&quot; | Pre-Flood
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 1556
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 2164
| colspan=&quot;1&quot; | 2162
| colspan=&quot;1&quot; | 2142
| colspan=&quot;3&quot; | Varied

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 100
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 112

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Arphaxad
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 66
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 35
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 135

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Cainan II
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 57
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 130
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 130
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 71
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Eber
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 64
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 34
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 134

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 61
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 59
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 32
| colspan=&quot;5&quot; style=&quot;background-color:#e8e8e8;&quot; | 132
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 135
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Serug	
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 57
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 130
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 132

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 62
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 29
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 79
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 75
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 79 / 179
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 79
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 120

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;9&quot; style=&quot;background-color:#e8e8e8;&quot; | 70

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Abram
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 78
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 75

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Canaan
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 218
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 215

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Egypt
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 238
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 430
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 215
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 430
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 215
|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Sinai +/-
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 40
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | -
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 46
| colspan=&quot;4&quot; style=&quot;background-color:#e8e8e8;&quot; | 40

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot; style=&quot;text-align:left; color:black;&quot; | GRAND TOTAL
| colspan=&quot;1&quot; | 2450
| colspan=&quot;1&quot; | 2666
| colspan=&quot;1&quot; | 2800
| colspan=&quot;1&quot; | 3885
| colspan=&quot;1&quot; | 3754
| colspan=&quot;1&quot; | 3938
| colspan=&quot;3&quot; | Varied
|}

== The Septuagint Chronology ==

While the chronologies of the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' are anchored in Levant-based agricultural cycles and the symbolic interplay of the numbers 40 and 49, the Septuagint (LXX) appears to have been structured around a different set of priorities. Specifically, the LXX's chronological framework seems designed to resolve a significant textual difficulty: the mathematical anomaly of patriarchs potentially outliving the Flood. In the 2017 article, ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', author Paul D. makes the following statement regarding the Septuagint:

&lt;blockquote&gt;“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”&lt;/blockquote&gt;

While Paul D.’s &quot;Whoops Theory&quot; suggests the LXX editor intended to &quot;fix&quot; the timeline but failed in the case of Methuselah, this interpretation potentially overlooks the systemic nature of the changes. If an editor is methodical enough to systematically alter multiple generations by exactly one hundred years, a single &quot;failure&quot; to fix Methuselah could suggest the avoidance of a post-Flood death was not the primary objective.

Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': 

&lt;blockquote&gt;&quot;Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years.&quot;&lt;/blockquote&gt; 

This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development.

=== Demetrius the Chronographer ===
Demetrius the Chronographer, writing as early as the late 3rd century BC (c. 221 BC), represents the earliest known witness to biblical chronological calculations. While only fragments of his work remain, they are significant; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. This presumably places the birth of Shem at 2,164 years—exactly one hundred years before the Flood—aligning his data with the &quot;Long Chronology&quot; of the Septuagint.

In the comment section of the original article, in response to evidence regarding this longer tradition (provided by commenter Roger Quill), Paul D. reaffirms his &quot;Whoops Theory&quot; by challenging the validity of various witnesses to the 187-year begettal age of Methuselah. In this view, Codex Alexandrinus is seen as the lone legitimate witness, while others are discounted: 

* '''Josephus:''' Characterized as dependent on the Masoretic tradition.
* '''Pseudo-Philo:''' Dismissed due to textual corruption (&quot;a real mess&quot;).
* '''Julius Africanus:''' Questioned because his records survive only through the later intermediary, Syncellus.
* '''Demetrius:''' Rejected as a witness because his chronology contains an additional 22 years (rather than the typical 20-year variance) whose precise placement remains unknown.

The claim that Julius Africanus is invalidated due to his survival through an intermediary, or that Demetrius is disqualified by a 22-year variance, is arguably overstated. A plausible explanation for the discrepancy in Demetrius's chronology is the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can easily account for such variances without necessitating the rejection of the witnesses.

=== The Correlations ===
An interesting piece of corroborating evidence exists in the previously mentioned 1864 publication by Rev. John Mills, ''Three Months' Residence at Nablus'', where High Priest Amram records his own chronological dates based on the Samaritan Pentateuch. Priest Amram lists the Flood date as 1307 years after creation, but then lists the birth of Arphaxad as 1309 years—exactly two years after the Flood—which presumably places Shem's birth in year 502 of Noah's life (though Shem's actual birth date in the text is obscured by a typo).

The internal tension in Priest Amram's calculations likely reflects the same two-year variance seen between Demetrius and Africanus. Priest Amram lists the birth years of Shelah, Eber, and Peleg as 1444, 1574, and 1708, respectively. Africanus lists those same birth years as 2397, 2527, and 2661. In each case, the Priest Amram figure differs from the Africanus value by exactly 953 years. While the chronology of Africanus may reach us through an intermediary, as Paul D. notes, the values provided by both Demetrius and Africanus are precisely what one would anticipate to resolve the &quot;Universal Flood&quot; problem.


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      <text bytes="86986" sha1="exycb59d0ypssy0uzkm6y7n7iu4m92d" xml:space="preserve">{{Original research}}
This page evaluates and extends the mathematical insights presented in the 2017 article, ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'' by Paul D. While the original article provides a compelling foundation, this analysis identifies areas where the underlying data and mathematical evidence are more robust than initially presented. The following sections aim to clarify these findings and offer a more precise structural framework.

== Summary of Main Arguments ==
The ages of the patriarchs in Genesis are not intended as historical records, but as a complex symbolic mathematical structure designed by ancient authors. Key points include:

* '''Artificial Mathematical Design:''' Patriarchal ages and event years are based on symbolic or &quot;perfect&quot; numbers (such as 7, 49, and 60) rather than biological or historical reality.
* '''Alignment with Sacred Cycles:''' The chronologies are designed to align significant events—such as the Exodus and the dedication of Solomon’s Temple—with specific &quot;years of the world&quot; (''Anno Mundi''), synchronizing human history with a divine calendar.
* '''The Universal Flood as a Later Insertion:''' Evidence suggests the universal scope of Noah's Flood was a later addition to a patriarchal foundation story. This insertion disrupted the original timelines, forcing recalibrations in the Masoretic Text (MT), Samaritan Pentateuch (SP), and Septuagint (LXX) to avoid chronological contradictions.
* '''Chronological Overlaps:''' In the original numerical framework (prior to recalibration for a universal flood), the mathematical structures resulted in overlaps where certain patriarchs, such as Methuselah, survived beyond the date of the Flood.

= Arichat Yamim =

Most of the patriarchs' lifespans in the Hebrew Bible far exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101).

This phenomenon is difficult to explain, as no known ancient number system features &quot;101&quot; as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle.
 
In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a &quot;perfect&quot; Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows:

*:&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
\frac{7\,\text{šar}}{2} &amp;= 3\,\text{šar}\,\,30\,\text{šūši}  \\ 
&amp;= \left(3 \times 60^2 \, \text{years} \right) + \left(30 \times 60^1 \,\text{years} \right) \\ 
&amp;= 10,800 \, \text{years} + 1,800 \, \text{years} \\
&amp;= 12,600 \, \text{years}
\end{aligned}
&lt;/math&gt;

This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60).

==== Prototype 1: Initial &quot;Mesopotamian&quot; Allocation ====

----

&lt;div style=&quot;background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;&quot;&gt;
The initial &quot;PT1&quot; framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''):

* '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49).
* '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''.
* '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920).
&lt;/div&gt;

----

==== Prototype 2: Refined &quot;Jubilee&quot; Allocation ====

----

&lt;div style=&quot;background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;&quot;&gt;
Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the &quot;Remainder&quot; to each of the two primary groups. This resulted in the &quot;PT2&quot; figures as follows:

* '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees).
* '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees).
* '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949).
&lt;/div&gt;

----

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that result in a patriarch surviving beyond the date of the Flood.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e0f2f1; border-bottom:2px solid #009688;&quot; | PROTOTYPE 1&lt;br/&gt;(PT1)
! colspan=&quot;3&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PROTOTYPE 2&lt;br/&gt;(PT2)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;82 šūši&lt;br/&gt;(4920)&lt;/div&gt;
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;45 šūši&lt;br/&gt;(2700)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;4949&lt;/div&gt;
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2727&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 912

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 905

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 910

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;37 šūši&lt;br/&gt;(2220)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2222&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 895

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 6 (360)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot;  | Methuselah
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;46 šūši&lt;br/&gt;(2760)&lt;/div&gt;
| rowspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;32 šūši&lt;br/&gt;(1920)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2702&lt;/div&gt;
| rowspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1919&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 14 (880)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 14 (840)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam
| rowspan=&quot;18&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;82 šūši&lt;br/&gt;(4920)&lt;/div&gt;
| rowspan=&quot;5&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;40 šūši&lt;br/&gt;(2400)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 16 (960)
| rowspan=&quot;18&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;4949&lt;/div&gt;
| rowspan=&quot;5&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2401&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 930

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 10 (600)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 7 (420)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Cainan (II)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 7 (420)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 433

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Eber
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;25 šūši&lt;br/&gt;(1500)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 8 (480)
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1525&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 464

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 4 (240)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 4 (240)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Serug
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 230

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 148

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Abraham
| rowspan=&quot;7&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;17 šūši&lt;br/&gt;(1020)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| rowspan=&quot;7&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1023&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 175

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Isaac
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jacob
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 147

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Levi
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kohath
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Amram
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 131

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Moses
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 120

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! style=&quot;text-align:left; color:black;&quot; | LIFESPAN&lt;br/&gt;DURATION&lt;br/&gt;SUM
| colspan=&quot;6&quot; | 210 šūši&lt;br/&gt;(12,600 years)
|}

== PT2 as the Base Model for Patriarchal Chronologies ==
The &quot;PT2&quot; chronology serves as the foundational model from which subsequent patriarchal lifespans in various textual traditions were derived. Evidence for this remains visible across nearly all biblical records, as they consistently preserve the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1).

* '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost.
* '''The Masoretic Text (MT):''' This tradition shifted 6 years from the &quot;Remainder&quot; to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block.
* '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši'''''.
* '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence.

The use of rounded Mesopotamian figures in the Armenian Eusebius Chronology suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the Septuagint's divergence indicates a later development—likely in Alexandria—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;

|+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum)
|-
! rowspan=&quot;2&quot; | Patriarch Groups
! rowspan=&quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;2&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;3&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! style=&quot;background-color:#e3f2fd;&quot; | Masoretic&lt;br/&gt;(MT)
! style=&quot;background-color:#e3f2fd;&quot; | Samaritan&lt;br/&gt;(SP)
! style=&quot;background-color:#fff3e0;&quot; | Josephus&lt;br/&gt;(94 AD)
! style=&quot;background-color:#fff3e0;&quot; | Eusebius&lt;br/&gt;(325 AD)
! style=&quot;background-color:#fff3e0;&quot; | Septuagint&lt;br/&gt;(LXX)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth to Enoch&lt;br/&gt;&lt;small&gt;(6 Patriarchs)&lt;/small&gt;
| colspan=&quot;2&quot; style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
| style=&quot;background-color:#f9f9f9;&quot; | 4834&lt;br/&gt;&lt;small&gt;(4949 - 115)&lt;/small&gt;
| colspan=&quot;3&quot; style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
|-

| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah, Lamech, Noah&lt;br/&gt;&lt;small&gt;(The Remainder)&lt;/small&gt;
| style=&quot;font-weight:bold; background-color:#f9f9f9;&quot; | 2702
| style=&quot;background-color:#f9f9f9;&quot; | 2696&lt;br/&gt;&lt;small&gt;(2702 - 6)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2323&lt;br/&gt;&lt;small&gt;(2702 - 379)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2626&lt;br/&gt;&lt;small&gt;(2702 - 76)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2642&lt;br/&gt;&lt;small&gt;(2702 - 60)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2672&lt;br/&gt;&lt;small&gt;(2702 - 30)&lt;/small&gt;
|-

| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam &amp; Shem to Moses&lt;br/&gt;&lt;small&gt;(The &quot;Second Half&quot;)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
| style=&quot;background-color:#f9f9f9;&quot; | 4955&lt;br/&gt;&lt;small&gt;(4949 + 6)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 4834&lt;br/&gt;&lt;small&gt;(4949 - 115)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | —
| style=&quot;background-color:#f9f9f9;&quot; | 5609&lt;br/&gt;&lt;small&gt;(4949 + 660)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 5930&lt;br/&gt;&lt;small&gt;(4949 + 981)&lt;/small&gt;

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:14px;&quot;
! LIFESPAN DURATION SUM
| colspan=&quot;2&quot; | 12,600
| 11,991
| —
| 13,200
| 13,551
|}
&lt;small&gt;* '''Dash (—)''' indicates where primary sources do not provide complete death data.&lt;/small&gt;

== Comparative Chronology Tables ==

The following table reconstructs lifespan values across multiple chronological traditions. While most values are derived directly from the primary source texts listed in the header, the '''Armenian Eusebius''' chronology does not explicitly record the lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that result in a patriarch surviving beyond the date of the Flood.
* &lt;span style=&quot;color:#333333;&quot;&gt;'''Blank Cells'''&lt;/span&gt; indicate where primary sources do not provide specific lifespan or death data.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! rowspan = &quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;1&quot; rowspan = &quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;2&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;3&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 912

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 905

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 910

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 895

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962
| 847
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969
| 720
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;6&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 777
| 653
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 707
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 723
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 753

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 930

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600
| rowspan=&quot;9&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438
| 538
| 535

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Cainan (II)
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —
| —
| 460

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 433
| 536
| 460

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Eber
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 464
| 404
| 567
| colspan=&quot;2&quot; | 404

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239
| colspan=&quot;2&quot; | 339

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239
| 342
| 339

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Serug
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 230
| colspan=&quot;2&quot; | 330

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 148
| 198
| 304

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205
| 145
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Abraham
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 175

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Isaac
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180
| 185
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jacob
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 147

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Levi
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137
| rowspan=&quot;3&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kohath
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Amram
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 131
| 137
| 136
| colspan=&quot;2&quot; | 132

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Moses
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 120

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! style=&quot;text-align:left; color:black;&quot; | LIFESPAN&lt;br/&gt;DURATION&lt;br/&gt;SUM
| colspan=&quot;2&quot; | 12,600
| colspan=&quot;1&quot; | 11,991
| —
| colspan=&quot;1&quot; | 13,200
| colspan=&quot;1&quot; | 13,551
|}

=== Samaritan Adjustments ===
Four of the pre-flood patriarchs—Jared, Methuselah, Lamech, and Noah—are credited with exceptionally long lives late in the chronology, which creates a potential overlap where these four patriarchs appear to survive Noah's flood. As shown in the above table, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. Other traditions do not employ this specific reduction, but all must address the issue of flood survival, as explained in later sections.

The required reduction in Jared's lifespan was '''115 years'''. Interestingly, as noted in the previous section, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the &quot;Group 1&quot; and &quot;Group 2&quot; patriarchs.

Specifically, this balance was achieved through the following adjustments:
* '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each).
* '''Amram's''' lifespan was increased by five years.

This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing.

=== Masoretic Adjustments ===

In the 2017 article, &quot;[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs],&quot; Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition:

&lt;blockquote&gt;&quot;The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)&quot;&lt;/blockquote&gt;

While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late &quot;tweak&quot; in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges:

&lt;blockquote&gt;&quot;Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above.&quot;&lt;/blockquote&gt;

==== ''Lectio Difficilior Potior'' ====
The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the &quot;harder reading is stronger&quot;) suggests that scribes tend to simplify or &quot;smooth&quot; texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life.

In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges:

* '''Year 500 (of Noah):''' Shem is born.
* '''Year 600 (of Noah):''' The Flood occurs.
* '''Year 700 (of Noah):''' Lamech dies.

This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a &quot;compressed chronology&quot; (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (53, 653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''183 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate &quot;balancing&quot; of total chronological years.

=== Armenian Eusebius Adjustments ===
Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 220 ''šūši'' (or 10 ''šūši'' more than the Masoretic Text). Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system.

Specifically, the following adjustments appear to have occurred for Group 2 patriarchs:
* '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years.
* '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years.
* '''Nahor''' had his lifespan increased by 50 years.
* '''Amram''' had his lifespan increased by 1 year.

The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''.

= It All Started With Grain =

[[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]]

The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the [https://www.biblicalarchaeology.org/daily/news/ancient-bread-jordan/ Black Desert of Jordan]. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops.

The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the &quot;firstfruits of your harvest&quot; (referring to barley) before the Lord:

&lt;blockquote&gt;&quot;then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord&quot;&lt;/blockquote&gt;

To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues:

&lt;blockquote&gt;&quot;And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord.&quot;&lt;/blockquote&gt;

[[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]]

These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the &quot;better things&quot; and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.

This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: 

&lt;blockquote&gt;&quot;And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye &lt;small&gt;(likely emmer wheat or spelt)&lt;/small&gt; were not smitten: for they were not grown up.&quot;&lt;/blockquote&gt;

This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. 

The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest).

=== The Mathematical Structure of Jubilees ===

The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of &quot;weeks&quot;:

* '''Week of Years:''' 7&lt;sup&gt;1&lt;/sup&gt; = 7 years
* '''Jubilee of Years:''' 7&lt;sup&gt;2&lt;/sup&gt; = 49 years
* '''Week of Jubilees:''' 7&lt;sup&gt;3&lt;/sup&gt; = 343 years
* '''Jubilee of Jubilees:''' 7&lt;sup&gt;4&lt;/sup&gt; = 2,401 years

The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land.

[[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]]

The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested &quot;Jubilee of Jubilees&quot; (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle.

* The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year.
* The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years.
* The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid.
* The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs.

== The Birth of Shem (A Digression) ==
Were Noah's sons born when Noah was 500 or 502?

==== The 502 Calculation ====
While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that &quot;Noah was 500 years old, and Noah begat Shem, Ham, and Japheth,&quot; this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: 
# Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). 
# Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10])

'''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples.

==== Competing Narratives ====
According to the Book of Jubilees 4:33, Shem was the oldest son, born in Noah's 500&lt;sup&gt;th&lt;/sup&gt; year, followed by Ham in the 502&lt;sup&gt;nd&lt;/sup&gt; year, and Japheth in the 505&lt;sup&gt;th&lt;/sup&gt;. This seems to be in contradiction with the Genesis narrative which places Shem as the second son in year 502.

==== ''Lectio Difficilior Potior'' ====

The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the harder reading is stronger) suggests that scribes tend to simplify or &quot;smooth&quot; texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life.

In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28%7Cversion=SPE Lamech’s 53rd year]. If we combine that with the 500-year figure for Noah's age at the birth of his sons and the [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB Septuagint figure of 753] for Lamech's death, a suspiciously neat pattern emerges:

* '''Year 500 (of Noah):''' Shem is born.
* '''Year 600 (of Noah):''' The Flood occurs.
* '''Year 700 (of Noah):''' Lamech dies.

This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a &quot;compressed chronology&quot; (500–600–700) is a hallmark of editorial smoothing—likely values adjusted during the introduction of the universal flood narrative to create a more &quot;perfect&quot; structure.

Applying ''Lectio Difficilior'', we can reasonably set aside the figures 53, 500, and 753 as being &quot;too structured to be true,&quot; shifting our focus to less symmetrical values such as '''502''' for Shem's birth.

== The Mathematical relationship between 40 and 49 ==

As noted previously, the ''Jubilees'' author envisions early Hebraic history within a &quot;Jubilee of Jubilees&quot; fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows:

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 (7-3)(7+3) &amp;=  7^2 - 3^2 \\
 &amp;= 49 - 9 \\
 &amp;= 40
\end{aligned}
&lt;/math&gt;

The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40.

[[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] 

Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years):

[[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]]

&lt;div style=&quot;line-height: 1.5;&quot;&gt;
* '''Book of Jubilees (Adam to Canaan)'''
** Pre-Flood Patriarch years:
*:&lt;math display=&quot;block&quot;&gt;\frac{7^4 - 1}{2} + 3^2 = 1200 + 9 = 1209&lt;/math&gt;
** Post-Flood Patriarch years:
*:&lt;math display=&quot;block&quot;&gt;\frac{7^4 + 1}{2} + (7^2 - 3^2) = 1201 + 40 = 1241&lt;/math&gt;
** Total Years:
*:&lt;math display=&quot;block&quot;&gt;7^4 + 7^2 = 2401 + 49 = 2450&lt;/math&gt;
&lt;/div&gt;

== The Samaritan Pentateuch Connection ==
Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition.

[[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]]

=== Determining Chronological Priority ===
A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem is born in year 1207 (reconstructed as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 &quot;Jubilee of Jubilees.&quot;

This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's &quot;pivot&quot; position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment.

=== The 350-Year Symmetrical Extension ===
Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a &quot;week of Jubilees&quot; (343 years) plus a &quot;week of years&quot; (7 years).

&lt;div style=&quot;line-height: 1.5;&quot;&gt;
* '''Book of Jubilees (Adam to Canaan):'''
:&lt;math display=&quot;block&quot;&gt;7^4 + 7^2 = 2401 + 49 = 2450 \text{ years}&lt;/math&gt;

* '''Samaritan Pentateuch (Adam to Conquest):'''
:&lt;math display=&quot;block&quot;&gt;\begin{aligned} \text{(Base 49): } &amp; 7^4 + 7^3 + 7^2 + 7^1 = 2401 + 343 + 49 + 7 = 2800 \\ \text{(Base 40): } &amp; 70 \times 40 = 2800 \end{aligned}&lt;/math&gt;
&lt;/div&gt;

=== Mathematical Structure of the Early Samaritan Chronology ===
To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each):

* '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''.
* '''The second cluster''' represents a second millennium.
* '''The final set''' contains 20 blocks (4x5), representing '''800 years'''.

Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record.


[[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]]

== Living in the Rough ==

[[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]]

As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a &quot;generation&quot;) are less clear, but the number is consistently associated with &quot;living in the rough&quot;—periods of trial, transition, or exile away from the comforts of civilization. 

Examples of this pattern include:
* '''Noah''' lived within the ark for 40 days while the rain fell; 
* '''Israel''' wandered in the wilderness for 40 years; 
* '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. 

Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era.

Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the &quot;civilized&quot; city.

In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means &quot;supplanter&quot;—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a &quot;skillful hunter&quot; and a &quot;man of the field,&quot; while Jacob is &quot;dwelling in tents&quot; and cooking &quot;lentil stew.&quot;

The text draws a clear parallel between these two sets of brothers:
* In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. 
* In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this &quot;clever&quot; intervention, Jacob successfully secures the favor that Cain could not.

Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. 

This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the &quot;rough&quot; of the wilderness.

Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three &quot;generations&quot; (3 x 40).

The relationship between these two &quot;three-fold&quot; lifespans can be expressed by the same nine-year offset identified in the Shem chronology:

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 49 - 9 &amp;= 40 \\
 3(49 - 9) &amp;= 3(40) \\
 147 - 27 &amp;= 120
\end{aligned}
&lt;/math&gt;

[[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] 

Samaritan tradition maintains a unique cultural link to the &quot;pastoralist&quot; ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the &quot;grain-based&quot; agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to &quot;wilderness living,&quot; the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit.

=== A narrative foil for Joshua ===
As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a &quot;foil&quot; for Jacob: Moses lived exactly three &quot;generations&quot; (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization.

This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding &quot;foil&quot; to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam?

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 49 - 9 &amp;= 40 \\
 70(49 - 9) &amp;= 70(40) \\
 3,430 - 630 &amp;= 2,800
\end{aligned}
&lt;/math&gt;

Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific &quot;foil&quot; to Joshua existed in the original architect's mind.

The Samaritans do maintain a continuous, running calendar. However, this system uses a &quot;Conquest Era&quot; epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. For instance, at that time, the [[w:Hyksos|Hyksos]] were only beginning to establish control over Lower Egypt. Furthermore, the [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC.

There is, however, one more possibility to consider: what if the &quot;irreconcilable&quot; nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent &quot;foil&quot; event occurred exactly 3,430 years after Creation? 

As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare &quot;smoking gun&quot; for the artificial design of the chronology.

=== A Mystery Solved ===
In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest.

The significant milestones in this timeline include:
* '''Year 1''': &quot;This year the world and Adam were created.&quot; 
* '''Year 2801''': &quot;The first year of Israel's rule in the land of Canaan.&quot; 
* '''Year 3423''': &quot;The commencement of the kingdom of Solomon.&quot;

According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological &quot;anchor&quot; was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself.

In Creation Year 2800—marking exactly 70 &quot;generations&quot; of 40 years—God entered Canaan in a tent, embodying the &quot;living rough&quot; wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 &quot;Jubilees&quot; of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70&lt;sup&gt;th&lt;/sup&gt; generation to the 70&lt;sup&gt;th&lt;/sup&gt; Jubilee:

:&lt;math&gt;70 \times 40 + (70 \times 9) = 70 \times 49&lt;/math&gt;

=== Mathematical Structure of the Later Samaritan Chronology ===
The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years:

* '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation.
* '''The second cluster''' spans years '''3,000 to 4,000''' after Creation.
* '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation.

The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year &quot;Tabernacle&quot; era''', which is composed of:
* The 40 years of wandering in the wilderness;
* The 6 years of the initial conquest;
* The 630 years between the conquest and the completion of Solomon’s Temple.

Following the '''676-year &quot;Tabernacle&quot; era''' is a '''400-year &quot;First Temple&quot; era''' and a '''70-year &quot;Exile&quot; era''' as detailed in the historical breakdown below.

[[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]]

The Book of Daniel states: &quot;In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it&quot; (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''.

The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure.

High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. 

Using this synchronization, other significant milestones are mapped as follows:
* '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''.
* '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''.
* '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''.

High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year &quot;Second Temple Persian Era&quot; (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. 

The remainder of the diagram represents a 300-year &quot;Second Temple Hellenistic Era,&quot; which concludes in '''Creation Year 4400''' (30 BC).

=== Competing Temples ===
There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year &quot;Second Temple Persian Era&quot; (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework.

According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple:

&lt;blockquote&gt;&quot;But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel&quot; (Ezra 4:3).&lt;/blockquote&gt;

After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population.

[[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]]

This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC.

= The Rise of Zadok =
The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years:

* '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation.
* '''The second cluster''' spans years '''3,000 to 4,000''' after Creation.
* '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation.

The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section.  Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness.  To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event.

[[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]]

The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000.

= Hellenized Jews =
Hellenized Jews were
ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint.
= Start TBD =

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! rowspan = &quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;1&quot; rowspan = &quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | — &lt;br/&gt; &lt;small&gt;(847)&lt;/small&gt;
| 847 &lt;br/&gt; &lt;small&gt;(847)&lt;/small&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962 &lt;br/&gt; &lt;small&gt;(1196)&lt;/small&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962 &lt;br/&gt; &lt;small&gt;(847)&lt;/small&gt;

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969
| 720
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 777
| 653
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 707
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 723
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 753

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;6&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600
| rowspan=&quot;9&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438
| 538
| 535

|}

= End TBD =

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that could result in patriarchs surviving beyond the date of the Flood.
* &lt;span style=&quot;color:#333333;&quot;&gt;'''Blank Cells'''&lt;/span&gt; indicate where primary sources do not provide specific lifespan or death data.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;&quot;
|+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son)

|-
! rowspan=&quot;2&quot; colspan=&quot;1&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Adam
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 130
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 230

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Seth
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 105
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 205

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 90
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 190

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 70
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 170

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 66
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | 65
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 165

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 61
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 162
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 62
| colspan=&quot;6&quot; style=&quot;background-color:#f9f9f9;&quot; | 162

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 65
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 165

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 65
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 187
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 67
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 167 / 187
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 167
| colspan=&quot;2&quot; style=&quot;background-color:#f9f9f9;&quot; | 187

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 55
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 182
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 53
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 182 / 188
| colspan=&quot;5&quot; style=&quot;background-color:#f9f9f9;&quot; | 188

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;9&quot; style=&quot;background-color:#e8e8e8;&quot; | 500 .. 502

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot; style=&quot;text-align:left; color:black;&quot; | Pre-Flood TOTAL
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 1556
| colspan=&quot;1&quot; | 1209
| colspan=&quot;3&quot; | Varied
| colspan=&quot;1&quot; | 2142
| colspan=&quot;1&quot; | 2162
| colspan=&quot;1&quot; | 2164
|}

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;&quot;

|+ Comparison of Post-Flood Chronological Traditions (Age at birth of son)
|-
! colspan=&quot;1&quot; rowspan=&quot;2&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot;  style=&quot;text-align:left; color:black;&quot; | Pre-Flood
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 1556
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 2164
| colspan=&quot;1&quot; | 2162
| colspan=&quot;1&quot; | 2142
| colspan=&quot;3&quot; | Varied

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 100
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 112

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Arphaxad
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 66
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 35
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 135

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Cainan II
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 57
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 130
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 130
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 71
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Eber
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 64
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 34
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 134

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 61
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 59
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 32
| colspan=&quot;5&quot; style=&quot;background-color:#e8e8e8;&quot; | 132
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 135
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Serug	
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 57
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 130
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 132

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 62
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 29
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 79
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 75
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 79 / 179
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 79
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 120

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;9&quot; style=&quot;background-color:#e8e8e8;&quot; | 70

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Abram
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 78
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 75

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Canaan
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 218
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 215

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Egypt
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 238
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 430
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 215
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 430
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 215
|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Sinai +/-
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 40
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | -
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 46
| colspan=&quot;4&quot; style=&quot;background-color:#e8e8e8;&quot; | 40

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot; style=&quot;text-align:left; color:black;&quot; | GRAND TOTAL
| colspan=&quot;1&quot; | 2450
| colspan=&quot;1&quot; | 2666
| colspan=&quot;1&quot; | 2800
| colspan=&quot;1&quot; | 3885
| colspan=&quot;1&quot; | 3754
| colspan=&quot;1&quot; | 3938
| colspan=&quot;3&quot; | Varied
|}

== The Septuagint Chronology ==

While the chronologies of the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' are anchored in Levant-based agricultural cycles and the symbolic interplay of the numbers 40 and 49, the Septuagint (LXX) appears to have been structured around a different set of priorities. Specifically, the LXX's chronological framework seems designed to resolve a significant textual difficulty: the mathematical anomaly of patriarchs potentially outliving the Flood. In the 2017 article, ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', author Paul D. makes the following statement regarding the Septuagint:

&lt;blockquote&gt;“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”&lt;/blockquote&gt;

While Paul D.’s &quot;Whoops Theory&quot; suggests the LXX editor intended to &quot;fix&quot; the timeline but failed in the case of Methuselah, this interpretation potentially overlooks the systemic nature of the changes. If an editor is methodical enough to systematically alter multiple generations by exactly one hundred years, a single &quot;failure&quot; to fix Methuselah could suggest the avoidance of a post-Flood death was not the primary objective.

Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': 

&lt;blockquote&gt;&quot;Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years.&quot;&lt;/blockquote&gt; 

This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development.

=== Demetrius the Chronographer ===
Demetrius the Chronographer, writing as early as the late 3rd century BC (c. 221 BC), represents the earliest known witness to biblical chronological calculations. While only fragments of his work remain, they are significant; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. This presumably places the birth of Shem at 2,164 years—exactly one hundred years before the Flood—aligning his data with the &quot;Long Chronology&quot; of the Septuagint.

In the comment section of the original article, in response to evidence regarding this longer tradition (provided by commenter Roger Quill), Paul D. reaffirms his &quot;Whoops Theory&quot; by challenging the validity of various witnesses to the 187-year begettal age of Methuselah. In this view, Codex Alexandrinus is seen as the lone legitimate witness, while others are discounted: 

* '''Josephus:''' Characterized as dependent on the Masoretic tradition.
* '''Pseudo-Philo:''' Dismissed due to textual corruption (&quot;a real mess&quot;).
* '''Julius Africanus:''' Questioned because his records survive only through the later intermediary, Syncellus.
* '''Demetrius:''' Rejected as a witness because his chronology contains an additional 22 years (rather than the typical 20-year variance) whose precise placement remains unknown.

The claim that Julius Africanus is invalidated due to his survival through an intermediary, or that Demetrius is disqualified by a 22-year variance, is arguably overstated. A plausible explanation for the discrepancy in Demetrius's chronology is the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can easily account for such variances without necessitating the rejection of the witnesses.

=== The Correlations ===
An interesting piece of corroborating evidence exists in the previously mentioned 1864 publication by Rev. John Mills, ''Three Months' Residence at Nablus'', where High Priest Amram records his own chronological dates based on the Samaritan Pentateuch. Priest Amram lists the Flood date as 1307 years after creation, but then lists the birth of Arphaxad as 1309 years—exactly two years after the Flood—which presumably places Shem's birth in year 502 of Noah's life (though Shem's actual birth date in the text is obscured by a typo).

The internal tension in Priest Amram's calculations likely reflects the same two-year variance seen between Demetrius and Africanus. Priest Amram lists the birth years of Shelah, Eber, and Peleg as 1444, 1574, and 1708, respectively. Africanus lists those same birth years as 2397, 2527, and 2661. In each case, the Priest Amram figure differs from the Africanus value by exactly 953 years. While the chronology of Africanus may reach us through an intermediary, as Paul D. notes, the values provided by both Demetrius and Africanus are precisely what one would anticipate to resolve the &quot;Universal Flood&quot; problem.


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      <text bytes="87013" sha1="03uy2jh2c4ckjsyu6kyrqgj3v68ujki" xml:space="preserve">{{Original research}}
This page evaluates and extends the mathematical insights presented in the 2017 article, ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'' by Paul D. While the original article provides a compelling foundation, this analysis identifies areas where the underlying data and mathematical evidence are more robust than initially presented. The following sections aim to clarify these findings and offer a more precise structural framework.

== Summary of Main Arguments ==
The ages of the patriarchs in Genesis are not intended as historical records, but as a complex symbolic mathematical structure designed by ancient authors. Key points include:

* '''Artificial Mathematical Design:''' Patriarchal ages and event years are based on symbolic or &quot;perfect&quot; numbers (such as 7, 49, and 60) rather than biological or historical reality.
* '''Alignment with Sacred Cycles:''' The chronologies are designed to align significant events—such as the Exodus and the dedication of Solomon’s Temple—with specific &quot;years of the world&quot; (''Anno Mundi''), synchronizing human history with a divine calendar.
* '''The Universal Flood as a Later Insertion:''' Evidence suggests the universal scope of Noah's Flood was a later addition to a patriarchal foundation story. This insertion disrupted the original timelines, forcing recalibrations in the Masoretic Text (MT), Samaritan Pentateuch (SP), and Septuagint (LXX) to avoid chronological contradictions.
* '''Chronological Overlaps:''' In the original numerical framework (prior to recalibration for a universal flood), the mathematical structures resulted in overlaps where certain patriarchs, such as Methuselah, survived beyond the date of the Flood.

= Arichat Yamim =

Most of the patriarchs' lifespans in the Hebrew Bible far exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101).

This phenomenon is difficult to explain, as no known ancient number system features &quot;101&quot; as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle.
 
In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a &quot;perfect&quot; Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows:

*:&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
\frac{7\,\text{šar}}{2} &amp;= 3\,\text{šar}\,\,30\,\text{šūši}  \\ 
&amp;= \left(3 \times 60^2 \, \text{years} \right) + \left(30 \times 60^1 \,\text{years} \right) \\ 
&amp;= 10,800 \, \text{years} + 1,800 \, \text{years} \\
&amp;= 12,600 \, \text{years}
\end{aligned}
&lt;/math&gt;

This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60).

==== Prototype 1: Initial &quot;Mesopotamian&quot; Allocation ====

----

&lt;div style=&quot;background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;&quot;&gt;
The initial &quot;PT1&quot; framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''):

* '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49).
* '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''.
* '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920).
&lt;/div&gt;

----

==== Prototype 2: Refined &quot;Jubilee&quot; Allocation ====

----

&lt;div style=&quot;background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;&quot;&gt;
Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the &quot;Remainder&quot; to each of the two primary groups. This resulted in the &quot;PT2&quot; figures as follows:

* '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees).
* '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees).
* '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949).
&lt;/div&gt;

----

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that result in a patriarch surviving beyond the date of the Flood.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e0f2f1; border-bottom:2px solid #009688;&quot; | PROTOTYPE 1&lt;br/&gt;(PT1)
! colspan=&quot;3&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PROTOTYPE 2&lt;br/&gt;(PT2)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;82 šūši&lt;br/&gt;(4920)&lt;/div&gt;
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;45 šūši&lt;br/&gt;(2700)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;4949&lt;/div&gt;
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2727&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 912

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 905

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 910

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;37 šūši&lt;br/&gt;(2220)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2222&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 895

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 6 (360)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot;  | Methuselah
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;46 šūši&lt;br/&gt;(2760)&lt;/div&gt;
| rowspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;32 šūši&lt;br/&gt;(1920)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2702&lt;/div&gt;
| rowspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1919&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 14 (880)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 14 (840)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam
| rowspan=&quot;18&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;82 šūši&lt;br/&gt;(4920)&lt;/div&gt;
| rowspan=&quot;5&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;40 šūši&lt;br/&gt;(2400)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 16 (960)
| rowspan=&quot;18&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;4949&lt;/div&gt;
| rowspan=&quot;5&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2401&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 930

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 10 (600)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 7 (420)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Cainan (II)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 7 (420)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 433

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Eber
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;25 šūši&lt;br/&gt;(1500)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 8 (480)
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1525&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 464

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 4 (240)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 4 (240)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Serug
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 230

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 148

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Abraham
| rowspan=&quot;7&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;17 šūši&lt;br/&gt;(1020)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| rowspan=&quot;7&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1023&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 175

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Isaac
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jacob
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 147

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Levi
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kohath
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Amram
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 131

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Moses
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 120

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! style=&quot;text-align:left; color:black;&quot; | LIFESPAN&lt;br/&gt;DURATION&lt;br/&gt;SUM
| colspan=&quot;6&quot; | 210 šūši&lt;br/&gt;(12,600 years)
|}

== PT2 as the Base Model for Patriarchal Chronologies ==
The &quot;PT2&quot; chronology serves as the foundational model from which subsequent patriarchal lifespans in various textual traditions were derived. Evidence for this remains visible across nearly all biblical records, as they consistently preserve the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1).

* '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost.
* '''The Masoretic Text (MT):''' This tradition shifted 6 years from the &quot;Remainder&quot; to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block.
* '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši'''''.
* '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence.

The use of rounded Mesopotamian figures in the Armenian Eusebius Chronology suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the Septuagint's divergence indicates a later development—likely in Alexandria—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;

|+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum)
|-
! rowspan=&quot;2&quot; | Patriarch Groups
! rowspan=&quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;2&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;3&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! style=&quot;background-color:#e3f2fd;&quot; | Masoretic&lt;br/&gt;(MT)
! style=&quot;background-color:#e3f2fd;&quot; | Samaritan&lt;br/&gt;(SP)
! style=&quot;background-color:#fff3e0;&quot; | Josephus&lt;br/&gt;(94 AD)
! style=&quot;background-color:#fff3e0;&quot; | Eusebius&lt;br/&gt;(325 AD)
! style=&quot;background-color:#fff3e0;&quot; | Septuagint&lt;br/&gt;(LXX)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth to Enoch&lt;br/&gt;&lt;small&gt;(6 Patriarchs)&lt;/small&gt;
| colspan=&quot;2&quot; style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
| style=&quot;background-color:#f9f9f9;&quot; | 4834&lt;br/&gt;&lt;small&gt;(4949 - 115)&lt;/small&gt;
| colspan=&quot;3&quot; style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
|-

| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah, Lamech, Noah&lt;br/&gt;&lt;small&gt;(The Remainder)&lt;/small&gt;
| style=&quot;font-weight:bold; background-color:#f9f9f9;&quot; | 2702
| style=&quot;background-color:#f9f9f9;&quot; | 2696&lt;br/&gt;&lt;small&gt;(2702 - 6)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2323&lt;br/&gt;&lt;small&gt;(2702 - 379)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2626&lt;br/&gt;&lt;small&gt;(2702 - 76)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2642&lt;br/&gt;&lt;small&gt;(2702 - 60)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2672&lt;br/&gt;&lt;small&gt;(2702 - 30)&lt;/small&gt;
|-

| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam &amp; Shem to Moses&lt;br/&gt;&lt;small&gt;(The &quot;Second Half&quot;)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
| style=&quot;background-color:#f9f9f9;&quot; | 4955&lt;br/&gt;&lt;small&gt;(4949 + 6)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 4834&lt;br/&gt;&lt;small&gt;(4949 - 115)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | —
| style=&quot;background-color:#f9f9f9;&quot; | 5609&lt;br/&gt;&lt;small&gt;(4949 + 660)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 5930&lt;br/&gt;&lt;small&gt;(4949 + 981)&lt;/small&gt;

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:14px;&quot;
! LIFESPAN DURATION SUM
| colspan=&quot;2&quot; | 12,600
| 11,991
| —
| 13,200
| 13,551
|}
&lt;small&gt;* '''Dash (—)''' indicates where primary sources do not provide complete death data.&lt;/small&gt;

== Comparative Chronology Tables ==

The following table reconstructs lifespan values across multiple chronological traditions. While most values are derived directly from the primary source texts listed in the header, the '''Armenian Eusebius''' chronology does not explicitly record the lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that result in a patriarch surviving beyond the date of the Flood.
* &lt;span style=&quot;color:#333333;&quot;&gt;'''Blank Cells'''&lt;/span&gt; indicate where primary sources do not provide specific lifespan or death data.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! rowspan = &quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;1&quot; rowspan = &quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;2&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;3&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 912

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 905

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 910

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 895

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962
| 847
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969
| 720
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;6&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 777
| 653
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 707
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 723
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 753

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 930

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600
| rowspan=&quot;9&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438
| 538
| 535

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Cainan (II)
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —
| —
| 460

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 433
| 536
| 460

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Eber
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 464
| 404
| 567
| colspan=&quot;2&quot; | 404

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239
| colspan=&quot;2&quot; | 339

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239
| 342
| 339

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Serug
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 230
| colspan=&quot;2&quot; | 330

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 148
| 198
| 304

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205
| 145
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Abraham
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 175

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Isaac
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180
| 185
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jacob
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 147

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Levi
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137
| rowspan=&quot;3&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kohath
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Amram
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 131
| 137
| 136
| colspan=&quot;2&quot; | 132

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Moses
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 120

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! style=&quot;text-align:left; color:black;&quot; | LIFESPAN&lt;br/&gt;DURATION&lt;br/&gt;SUM
| colspan=&quot;2&quot; | 12,600
| colspan=&quot;1&quot; | 11,991
| —
| colspan=&quot;1&quot; | 13,200
| colspan=&quot;1&quot; | 13,551
|}

=== Samaritan Adjustments ===
Four of the pre-flood patriarchs—Jared, Methuselah, Lamech, and Noah—are credited with exceptionally long lives late in the chronology, which creates a potential overlap where these four patriarchs appear to survive Noah's flood. As shown in the above table, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. Other traditions do not employ this specific reduction, but all must address the issue of flood survival, as explained in later sections.

The required reduction in Jared's lifespan was '''115 years'''. Interestingly, as noted in the previous section, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the &quot;Group 1&quot; and &quot;Group 2&quot; patriarchs.

Specifically, this balance was achieved through the following adjustments:
* '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each).
* '''Amram's''' lifespan was increased by five years.

This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing.

=== Masoretic Adjustments ===

In the 2017 article, &quot;[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs],&quot; Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition:

&lt;blockquote&gt;&quot;The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)&quot;&lt;/blockquote&gt;

While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late &quot;tweak&quot; in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges:

&lt;blockquote&gt;&quot;Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above.&quot;&lt;/blockquote&gt;

==== ''Lectio Difficilior Potior'' ====
The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the &quot;harder reading is stronger&quot;) suggests that scribes tend to simplify or &quot;smooth&quot; texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life.

In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges:

* '''Year 500 (of Noah):''' Shem is born.
* '''Year 600 (of Noah):''' The Flood occurs.
* '''Year 700 (of Noah):''' Lamech dies.

This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a &quot;compressed chronology&quot; (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (53, 653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''183 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate &quot;balancing&quot; of total chronological years.

=== Armenian Eusebius Adjustments ===
Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 220 ''šūši'' (or 10 ''šūši'' more than the Masoretic Text). Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system.

Specifically, the following adjustments appear to have occurred for Group 2 patriarchs:
* '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years.
* '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years.
* '''Nahor''' had his lifespan increased by 50 years.
* '''Amram''' had his lifespan increased by 1 year.

The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''.

= It All Started With Grain =

[[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]]

The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the [https://www.biblicalarchaeology.org/daily/news/ancient-bread-jordan/ Black Desert of Jordan]. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops.

The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the &quot;firstfruits of your harvest&quot; (referring to barley) before the Lord:

&lt;blockquote&gt;&quot;then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord&quot;&lt;/blockquote&gt;

To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues:

&lt;blockquote&gt;&quot;And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord.&quot;&lt;/blockquote&gt;

[[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]]

These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the &quot;better things&quot; and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.

This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: 

&lt;blockquote&gt;&quot;And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye &lt;small&gt;(likely emmer wheat or spelt)&lt;/small&gt; were not smitten: for they were not grown up.&quot;&lt;/blockquote&gt;

This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. 

The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest).

=== The Mathematical Structure of Jubilees ===

The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of &quot;weeks&quot;:

* '''Week of Years:''' 7&lt;sup&gt;1&lt;/sup&gt; = 7 years
* '''Jubilee of Years:''' 7&lt;sup&gt;2&lt;/sup&gt; = 49 years
* '''Week of Jubilees:''' 7&lt;sup&gt;3&lt;/sup&gt; = 343 years
* '''Jubilee of Jubilees:''' 7&lt;sup&gt;4&lt;/sup&gt; = 2,401 years

The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land.

[[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]]

The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested &quot;Jubilee of Jubilees&quot; (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle.

* The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year.
* The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years.
* The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid.
* The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs.

== The Birth of Shem (A Digression) ==
Were Noah's sons born when Noah was 500 or 502?

==== The 502 Calculation ====
While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that &quot;Noah was 500 years old, and Noah begat Shem, Ham, and Japheth,&quot; this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: 
# Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). 
# Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10])

'''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples.

==== Competing Narratives ====
According to the Book of Jubilees 4:33, Shem was the oldest son, born in Noah's 500&lt;sup&gt;th&lt;/sup&gt; year, followed by Ham in the 502&lt;sup&gt;nd&lt;/sup&gt; year, and Japheth in the 505&lt;sup&gt;th&lt;/sup&gt;. This seems to be in contradiction with the Genesis narrative which places Shem as the second son in year 502.

==== ''Lectio Difficilior Potior'' ====

The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the harder reading is stronger) suggests that scribes tend to simplify or &quot;smooth&quot; texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life.

In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28%7Cversion=SPE Lamech’s 53rd year]. If we combine that with the 500-year figure for Noah's age at the birth of his sons and the [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB Septuagint figure of 753] for Lamech's death, a suspiciously neat pattern emerges:

* '''Year 500 (of Noah):''' Shem is born.
* '''Year 600 (of Noah):''' The Flood occurs.
* '''Year 700 (of Noah):''' Lamech dies.

This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a &quot;compressed chronology&quot; (500–600–700) is a hallmark of editorial smoothing—likely values adjusted during the introduction of the universal flood narrative to create a more &quot;perfect&quot; structure.

Applying ''Lectio Difficilior'', we can reasonably set aside the figures 53, 500, and 753 as being &quot;too structured to be true,&quot; shifting our focus to less symmetrical values such as '''502''' for Shem's birth.

== The Mathematical relationship between 40 and 49 ==

As noted previously, the ''Jubilees'' author envisions early Hebraic history within a &quot;Jubilee of Jubilees&quot; fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows:

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 (7-3)(7+3) &amp;=  7^2 - 3^2 \\
 &amp;= 49 - 9 \\
 &amp;= 40
\end{aligned}
&lt;/math&gt;

The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40.

[[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] 

Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years):

[[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]]

&lt;div style=&quot;line-height: 1.5;&quot;&gt;
* '''Book of Jubilees (Adam to Canaan)'''
** Pre-Flood Patriarch years:
*:&lt;math display=&quot;block&quot;&gt;\frac{7^4 - 1}{2} + 3^2 = 1200 + 9 = 1209&lt;/math&gt;
** Post-Flood Patriarch years:
*:&lt;math display=&quot;block&quot;&gt;\frac{7^4 + 1}{2} + (7^2 - 3^2) = 1201 + 40 = 1241&lt;/math&gt;
** Total Years:
*:&lt;math display=&quot;block&quot;&gt;7^4 + 7^2 = 2401 + 49 = 2450&lt;/math&gt;
&lt;/div&gt;

== The Samaritan Pentateuch Connection ==
Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition.

[[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]]

=== Determining Chronological Priority ===
A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem is born in year 1207 (reconstructed as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 &quot;Jubilee of Jubilees.&quot;

This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's &quot;pivot&quot; position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment.

=== The 350-Year Symmetrical Extension ===
Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a &quot;week of Jubilees&quot; (343 years) plus a &quot;week of years&quot; (7 years).

&lt;div style=&quot;line-height: 1.5;&quot;&gt;
* '''Book of Jubilees (Adam to Canaan):'''
:&lt;math display=&quot;block&quot;&gt;7^4 + 7^2 = 2401 + 49 = 2450 \text{ years}&lt;/math&gt;

* '''Samaritan Pentateuch (Adam to Conquest):'''
:&lt;math display=&quot;block&quot;&gt;\begin{aligned} \text{(Base 49): } &amp; 7^4 + 7^3 + 7^2 + 7^1 = 2401 + 343 + 49 + 7 = 2800 \\ \text{(Base 40): } &amp; 70 \times 40 = 2800 \end{aligned}&lt;/math&gt;
&lt;/div&gt;

=== Mathematical Structure of the Early Samaritan Chronology ===
To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each):

* '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''.
* '''The second cluster''' represents a second millennium.
* '''The final set''' contains 20 blocks (4x5), representing '''800 years'''.

Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record.


[[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]]

== Living in the Rough ==

[[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]]

As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a &quot;generation&quot;) are less clear, but the number is consistently associated with &quot;living in the rough&quot;—periods of trial, transition, or exile away from the comforts of civilization. 

Examples of this pattern include:
* '''Noah''' lived within the ark for 40 days while the rain fell; 
* '''Israel''' wandered in the wilderness for 40 years; 
* '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. 

Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era.

Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the &quot;civilized&quot; city.

In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means &quot;supplanter&quot;—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a &quot;skillful hunter&quot; and a &quot;man of the field,&quot; while Jacob is &quot;dwelling in tents&quot; and cooking &quot;lentil stew.&quot;

The text draws a clear parallel between these two sets of brothers:
* In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. 
* In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this &quot;clever&quot; intervention, Jacob successfully secures the favor that Cain could not.

Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. 

This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the &quot;rough&quot; of the wilderness.

Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three &quot;generations&quot; (3 x 40).

The relationship between these two &quot;three-fold&quot; lifespans can be expressed by the same nine-year offset identified in the Shem chronology:

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 49 - 9 &amp;= 40 \\
 3(49 - 9) &amp;= 3(40) \\
 147 - 27 &amp;= 120
\end{aligned}
&lt;/math&gt;

[[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] 

Samaritan tradition maintains a unique cultural link to the &quot;pastoralist&quot; ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the &quot;grain-based&quot; agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to &quot;wilderness living,&quot; the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit.

=== A narrative foil for Joshua ===
As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a &quot;foil&quot; for Jacob: Moses lived exactly three &quot;generations&quot; (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization.

This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding &quot;foil&quot; to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam?

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 49 - 9 &amp;= 40 \\
 70(49 - 9) &amp;= 70(40) \\
 3,430 - 630 &amp;= 2,800
\end{aligned}
&lt;/math&gt;

Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific &quot;foil&quot; to Joshua existed in the original architect's mind.

The Samaritans do maintain a continuous, running calendar. However, this system uses a &quot;Conquest Era&quot; epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. For instance, at that time, the [[w:Hyksos|Hyksos]] were only beginning to establish control over Lower Egypt. Furthermore, the [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC.

There is, however, one more possibility to consider: what if the &quot;irreconcilable&quot; nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent &quot;foil&quot; event occurred exactly 3,430 years after Creation? 

As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare &quot;smoking gun&quot; for the artificial design of the chronology.

=== A Mystery Solved ===
In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest.

The significant milestones in this timeline include:
* '''Year 1''': &quot;This year the world and Adam were created.&quot; 
* '''Year 2801''': &quot;The first year of Israel's rule in the land of Canaan.&quot; 
* '''Year 3423''': &quot;The commencement of the kingdom of Solomon.&quot;

According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological &quot;anchor&quot; was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself.

In Creation Year 2800—marking exactly 70 &quot;generations&quot; of 40 years—God entered Canaan in a tent, embodying the &quot;living rough&quot; wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 &quot;Jubilees&quot; of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70&lt;sup&gt;th&lt;/sup&gt; generation to the 70&lt;sup&gt;th&lt;/sup&gt; Jubilee:

:&lt;math&gt;70 \times 40 + (70 \times 9) = 70 \times 49&lt;/math&gt;

=== Mathematical Structure of the Later Samaritan Chronology ===
The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years:

* '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation.
* '''The second cluster''' spans years '''3,000 to 4,000''' after Creation.
* '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation.

The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year &quot;Tabernacle&quot; era''', which is composed of:
* The 40 years of wandering in the wilderness;
* The 6 years of the initial conquest;
* The 630 years between the conquest and the completion of Solomon’s Temple.

Following the '''676-year &quot;Tabernacle&quot; era''' is a '''400-year &quot;First Temple&quot; era''' and a '''70-year &quot;Exile&quot; era''' as detailed in the historical breakdown below.

[[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]]

The Book of Daniel states: &quot;In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it&quot; (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''.

The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure.

High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. 

Using this synchronization, other significant milestones are mapped as follows:
* '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''.
* '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''.
* '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''.

High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year &quot;Second Temple Persian Era&quot; (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. 

The remainder of the diagram represents a 300-year &quot;Second Temple Hellenistic Era,&quot; which concludes in '''Creation Year 4400''' (30 BC).

=== Competing Temples ===
There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year &quot;Second Temple Persian Era&quot; (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework.

According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple:

&lt;blockquote&gt;&quot;But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel&quot; (Ezra 4:3).&lt;/blockquote&gt;

After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population.

[[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]]

This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC.

= The Rise of Zadok =
The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years:

* '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation.
* '''The second cluster''' spans years '''3,000 to 4,000''' after Creation.
* '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation.

The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section.  Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness.  To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event.

[[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]]

The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000.

= Hellenized Jews =
Hellenized Jews were
ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint.
= Start TBD =

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! rowspan = &quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;1&quot; rowspan = &quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962 &lt;br/&gt; &lt;small&gt;(847)&lt;/small&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | — &lt;br/&gt; &lt;small&gt;(847)&lt;/small&gt;
| 847 &lt;br/&gt; &lt;small&gt;(847)&lt;/small&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962 &lt;br/&gt; &lt;small&gt;(1196)&lt;/small&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962 &lt;br/&gt; &lt;small&gt;(847)&lt;/small&gt;

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969
| 720
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 777
| 653
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 707
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 723
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 753

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;6&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600
| rowspan=&quot;9&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438
| 538
| 535

|}

= End TBD =

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that could result in patriarchs surviving beyond the date of the Flood.
* &lt;span style=&quot;color:#333333;&quot;&gt;'''Blank Cells'''&lt;/span&gt; indicate where primary sources do not provide specific lifespan or death data.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;&quot;
|+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son)

|-
! rowspan=&quot;2&quot; colspan=&quot;1&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Adam
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 130
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 230

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Seth
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 105
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 205

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 90
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 190

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 70
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 170

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 66
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | 65
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 165

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 61
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 162
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 62
| colspan=&quot;6&quot; style=&quot;background-color:#f9f9f9;&quot; | 162

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 65
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 165

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 65
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 187
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 67
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 167 / 187
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 167
| colspan=&quot;2&quot; style=&quot;background-color:#f9f9f9;&quot; | 187

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 55
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 182
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 53
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 182 / 188
| colspan=&quot;5&quot; style=&quot;background-color:#f9f9f9;&quot; | 188

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;9&quot; style=&quot;background-color:#e8e8e8;&quot; | 500 .. 502

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot; style=&quot;text-align:left; color:black;&quot; | Pre-Flood TOTAL
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 1556
| colspan=&quot;1&quot; | 1209
| colspan=&quot;3&quot; | Varied
| colspan=&quot;1&quot; | 2142
| colspan=&quot;1&quot; | 2162
| colspan=&quot;1&quot; | 2164
|}

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;&quot;

|+ Comparison of Post-Flood Chronological Traditions (Age at birth of son)
|-
! colspan=&quot;1&quot; rowspan=&quot;2&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot;  style=&quot;text-align:left; color:black;&quot; | Pre-Flood
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 1556
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 2164
| colspan=&quot;1&quot; | 2162
| colspan=&quot;1&quot; | 2142
| colspan=&quot;3&quot; | Varied

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 100
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 112

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Arphaxad
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 66
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 35
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 135

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Cainan II
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 57
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 130
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 130
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 71
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Eber
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 64
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 34
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 134

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 61
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 59
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 32
| colspan=&quot;5&quot; style=&quot;background-color:#e8e8e8;&quot; | 132
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 135
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Serug	
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 57
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 130
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 132

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 62
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 29
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 79
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 75
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 79 / 179
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 79
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 120

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;9&quot; style=&quot;background-color:#e8e8e8;&quot; | 70

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Abram
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 78
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 75

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Canaan
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 218
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 215

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Egypt
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 238
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 430
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 215
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 430
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 215
|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Sinai +/-
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 40
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | -
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 46
| colspan=&quot;4&quot; style=&quot;background-color:#e8e8e8;&quot; | 40

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot; style=&quot;text-align:left; color:black;&quot; | GRAND TOTAL
| colspan=&quot;1&quot; | 2450
| colspan=&quot;1&quot; | 2666
| colspan=&quot;1&quot; | 2800
| colspan=&quot;1&quot; | 3885
| colspan=&quot;1&quot; | 3754
| colspan=&quot;1&quot; | 3938
| colspan=&quot;3&quot; | Varied
|}

== The Septuagint Chronology ==

While the chronologies of the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' are anchored in Levant-based agricultural cycles and the symbolic interplay of the numbers 40 and 49, the Septuagint (LXX) appears to have been structured around a different set of priorities. Specifically, the LXX's chronological framework seems designed to resolve a significant textual difficulty: the mathematical anomaly of patriarchs potentially outliving the Flood. In the 2017 article, ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', author Paul D. makes the following statement regarding the Septuagint:

&lt;blockquote&gt;“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”&lt;/blockquote&gt;

While Paul D.’s &quot;Whoops Theory&quot; suggests the LXX editor intended to &quot;fix&quot; the timeline but failed in the case of Methuselah, this interpretation potentially overlooks the systemic nature of the changes. If an editor is methodical enough to systematically alter multiple generations by exactly one hundred years, a single &quot;failure&quot; to fix Methuselah could suggest the avoidance of a post-Flood death was not the primary objective.

Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': 

&lt;blockquote&gt;&quot;Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years.&quot;&lt;/blockquote&gt; 

This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development.

=== Demetrius the Chronographer ===
Demetrius the Chronographer, writing as early as the late 3rd century BC (c. 221 BC), represents the earliest known witness to biblical chronological calculations. While only fragments of his work remain, they are significant; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. This presumably places the birth of Shem at 2,164 years—exactly one hundred years before the Flood—aligning his data with the &quot;Long Chronology&quot; of the Septuagint.

In the comment section of the original article, in response to evidence regarding this longer tradition (provided by commenter Roger Quill), Paul D. reaffirms his &quot;Whoops Theory&quot; by challenging the validity of various witnesses to the 187-year begettal age of Methuselah. In this view, Codex Alexandrinus is seen as the lone legitimate witness, while others are discounted: 

* '''Josephus:''' Characterized as dependent on the Masoretic tradition.
* '''Pseudo-Philo:''' Dismissed due to textual corruption (&quot;a real mess&quot;).
* '''Julius Africanus:''' Questioned because his records survive only through the later intermediary, Syncellus.
* '''Demetrius:''' Rejected as a witness because his chronology contains an additional 22 years (rather than the typical 20-year variance) whose precise placement remains unknown.

The claim that Julius Africanus is invalidated due to his survival through an intermediary, or that Demetrius is disqualified by a 22-year variance, is arguably overstated. A plausible explanation for the discrepancy in Demetrius's chronology is the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can easily account for such variances without necessitating the rejection of the witnesses.

=== The Correlations ===
An interesting piece of corroborating evidence exists in the previously mentioned 1864 publication by Rev. John Mills, ''Three Months' Residence at Nablus'', where High Priest Amram records his own chronological dates based on the Samaritan Pentateuch. Priest Amram lists the Flood date as 1307 years after creation, but then lists the birth of Arphaxad as 1309 years—exactly two years after the Flood—which presumably places Shem's birth in year 502 of Noah's life (though Shem's actual birth date in the text is obscured by a typo).

The internal tension in Priest Amram's calculations likely reflects the same two-year variance seen between Demetrius and Africanus. Priest Amram lists the birth years of Shelah, Eber, and Peleg as 1444, 1574, and 1708, respectively. Africanus lists those same birth years as 2397, 2527, and 2661. In each case, the Priest Amram figure differs from the Africanus value by exactly 953 years. While the chronology of Africanus may reach us through an intermediary, as Paul D. notes, the values provided by both Demetrius and Africanus are precisely what one would anticipate to resolve the &quot;Universal Flood&quot; problem.


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      <text bytes="87155" sha1="97bihfsaca731juuhtm7fc0y34jb7vv" xml:space="preserve">{{Original research}}
This page evaluates and extends the mathematical insights presented in the 2017 article, ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'' by Paul D. While the original article provides a compelling foundation, this analysis identifies areas where the underlying data and mathematical evidence are more robust than initially presented. The following sections aim to clarify these findings and offer a more precise structural framework.

== Summary of Main Arguments ==
The ages of the patriarchs in Genesis are not intended as historical records, but as a complex symbolic mathematical structure designed by ancient authors. Key points include:

* '''Artificial Mathematical Design:''' Patriarchal ages and event years are based on symbolic or &quot;perfect&quot; numbers (such as 7, 49, and 60) rather than biological or historical reality.
* '''Alignment with Sacred Cycles:''' The chronologies are designed to align significant events—such as the Exodus and the dedication of Solomon’s Temple—with specific &quot;years of the world&quot; (''Anno Mundi''), synchronizing human history with a divine calendar.
* '''The Universal Flood as a Later Insertion:''' Evidence suggests the universal scope of Noah's Flood was a later addition to a patriarchal foundation story. This insertion disrupted the original timelines, forcing recalibrations in the Masoretic Text (MT), Samaritan Pentateuch (SP), and Septuagint (LXX) to avoid chronological contradictions.
* '''Chronological Overlaps:''' In the original numerical framework (prior to recalibration for a universal flood), the mathematical structures resulted in overlaps where certain patriarchs, such as Methuselah, survived beyond the date of the Flood.

= Arichat Yamim =

Most of the patriarchs' lifespans in the Hebrew Bible far exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101).

This phenomenon is difficult to explain, as no known ancient number system features &quot;101&quot; as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle.
 
In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a &quot;perfect&quot; Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows:

*:&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
\frac{7\,\text{šar}}{2} &amp;= 3\,\text{šar}\,\,30\,\text{šūši}  \\ 
&amp;= \left(3 \times 60^2 \, \text{years} \right) + \left(30 \times 60^1 \,\text{years} \right) \\ 
&amp;= 10,800 \, \text{years} + 1,800 \, \text{years} \\
&amp;= 12,600 \, \text{years}
\end{aligned}
&lt;/math&gt;

This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60).

==== Prototype 1: Initial &quot;Mesopotamian&quot; Allocation ====

----

&lt;div style=&quot;background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;&quot;&gt;
The initial &quot;PT1&quot; framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''):

* '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49).
* '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''.
* '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920).
&lt;/div&gt;

----

==== Prototype 2: Refined &quot;Jubilee&quot; Allocation ====

----

&lt;div style=&quot;background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;&quot;&gt;
Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the &quot;Remainder&quot; to each of the two primary groups. This resulted in the &quot;PT2&quot; figures as follows:

* '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees).
* '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees).
* '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949).
&lt;/div&gt;

----

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that result in a patriarch surviving beyond the date of the Flood.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e0f2f1; border-bottom:2px solid #009688;&quot; | PROTOTYPE 1&lt;br/&gt;(PT1)
! colspan=&quot;3&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PROTOTYPE 2&lt;br/&gt;(PT2)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;82 šūši&lt;br/&gt;(4920)&lt;/div&gt;
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;45 šūši&lt;br/&gt;(2700)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;4949&lt;/div&gt;
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2727&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 912

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 905

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 910

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;37 šūši&lt;br/&gt;(2220)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2222&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 895

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 6 (360)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot;  | Methuselah
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;46 šūši&lt;br/&gt;(2760)&lt;/div&gt;
| rowspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;32 šūši&lt;br/&gt;(1920)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2702&lt;/div&gt;
| rowspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1919&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 14 (880)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 14 (840)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam
| rowspan=&quot;18&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;82 šūši&lt;br/&gt;(4920)&lt;/div&gt;
| rowspan=&quot;5&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;40 šūši&lt;br/&gt;(2400)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 16 (960)
| rowspan=&quot;18&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;4949&lt;/div&gt;
| rowspan=&quot;5&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2401&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 930

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 10 (600)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 7 (420)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Cainan (II)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 7 (420)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 433

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Eber
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;25 šūši&lt;br/&gt;(1500)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 8 (480)
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1525&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 464

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 4 (240)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 4 (240)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Serug
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 230

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 148

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Abraham
| rowspan=&quot;7&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;17 šūši&lt;br/&gt;(1020)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| rowspan=&quot;7&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1023&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 175

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Isaac
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jacob
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 147

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Levi
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kohath
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Amram
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 131

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Moses
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 120

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! style=&quot;text-align:left; color:black;&quot; | LIFESPAN&lt;br/&gt;DURATION&lt;br/&gt;SUM
| colspan=&quot;6&quot; | 210 šūši&lt;br/&gt;(12,600 years)
|}

== PT2 as the Base Model for Patriarchal Chronologies ==
The &quot;PT2&quot; chronology serves as the foundational model from which subsequent patriarchal lifespans in various textual traditions were derived. Evidence for this remains visible across nearly all biblical records, as they consistently preserve the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1).

* '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost.
* '''The Masoretic Text (MT):''' This tradition shifted 6 years from the &quot;Remainder&quot; to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block.
* '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši'''''.
* '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence.

The use of rounded Mesopotamian figures in the Armenian Eusebius Chronology suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the Septuagint's divergence indicates a later development—likely in Alexandria—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;

|+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum)
|-
! rowspan=&quot;2&quot; | Patriarch Groups
! rowspan=&quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;2&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;3&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! style=&quot;background-color:#e3f2fd;&quot; | Masoretic&lt;br/&gt;(MT)
! style=&quot;background-color:#e3f2fd;&quot; | Samaritan&lt;br/&gt;(SP)
! style=&quot;background-color:#fff3e0;&quot; | Josephus&lt;br/&gt;(94 AD)
! style=&quot;background-color:#fff3e0;&quot; | Eusebius&lt;br/&gt;(325 AD)
! style=&quot;background-color:#fff3e0;&quot; | Septuagint&lt;br/&gt;(LXX)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth to Enoch&lt;br/&gt;&lt;small&gt;(6 Patriarchs)&lt;/small&gt;
| colspan=&quot;2&quot; style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
| style=&quot;background-color:#f9f9f9;&quot; | 4834&lt;br/&gt;&lt;small&gt;(4949 - 115)&lt;/small&gt;
| colspan=&quot;3&quot; style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
|-

| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah, Lamech, Noah&lt;br/&gt;&lt;small&gt;(The Remainder)&lt;/small&gt;
| style=&quot;font-weight:bold; background-color:#f9f9f9;&quot; | 2702
| style=&quot;background-color:#f9f9f9;&quot; | 2696&lt;br/&gt;&lt;small&gt;(2702 - 6)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2323&lt;br/&gt;&lt;small&gt;(2702 - 379)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2626&lt;br/&gt;&lt;small&gt;(2702 - 76)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2642&lt;br/&gt;&lt;small&gt;(2702 - 60)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2672&lt;br/&gt;&lt;small&gt;(2702 - 30)&lt;/small&gt;
|-

| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam &amp; Shem to Moses&lt;br/&gt;&lt;small&gt;(The &quot;Second Half&quot;)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
| style=&quot;background-color:#f9f9f9;&quot; | 4955&lt;br/&gt;&lt;small&gt;(4949 + 6)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 4834&lt;br/&gt;&lt;small&gt;(4949 - 115)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | —
| style=&quot;background-color:#f9f9f9;&quot; | 5609&lt;br/&gt;&lt;small&gt;(4949 + 660)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 5930&lt;br/&gt;&lt;small&gt;(4949 + 981)&lt;/small&gt;

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:14px;&quot;
! LIFESPAN DURATION SUM
| colspan=&quot;2&quot; | 12,600
| 11,991
| —
| 13,200
| 13,551
|}
&lt;small&gt;* '''Dash (—)''' indicates where primary sources do not provide complete death data.&lt;/small&gt;

== Comparative Chronology Tables ==

The following table reconstructs lifespan values across multiple chronological traditions. While most values are derived directly from the primary source texts listed in the header, the '''Armenian Eusebius''' chronology does not explicitly record the lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that result in a patriarch surviving beyond the date of the Flood.
* &lt;span style=&quot;color:#333333;&quot;&gt;'''Blank Cells'''&lt;/span&gt; indicate where primary sources do not provide specific lifespan or death data.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! rowspan = &quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;1&quot; rowspan = &quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;2&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;3&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 912

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 905

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 910

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 895

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962
| 847
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969
| 720
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;6&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 777
| 653
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 707
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 723
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 753

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 930

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600
| rowspan=&quot;9&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438
| 538
| 535

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Cainan (II)
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —
| —
| 460

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 433
| 536
| 460

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Eber
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 464
| 404
| 567
| colspan=&quot;2&quot; | 404

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239
| colspan=&quot;2&quot; | 339

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239
| 342
| 339

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Serug
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 230
| colspan=&quot;2&quot; | 330

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 148
| 198
| 304

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205
| 145
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Abraham
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 175

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Isaac
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180
| 185
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jacob
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 147

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Levi
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137
| rowspan=&quot;3&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kohath
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Amram
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 131
| 137
| 136
| colspan=&quot;2&quot; | 132

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Moses
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 120

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! style=&quot;text-align:left; color:black;&quot; | LIFESPAN&lt;br/&gt;DURATION&lt;br/&gt;SUM
| colspan=&quot;2&quot; | 12,600
| colspan=&quot;1&quot; | 11,991
| —
| colspan=&quot;1&quot; | 13,200
| colspan=&quot;1&quot; | 13,551
|}

=== Samaritan Adjustments ===
Four of the pre-flood patriarchs—Jared, Methuselah, Lamech, and Noah—are credited with exceptionally long lives late in the chronology, which creates a potential overlap where these four patriarchs appear to survive Noah's flood. As shown in the above table, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. Other traditions do not employ this specific reduction, but all must address the issue of flood survival, as explained in later sections.

The required reduction in Jared's lifespan was '''115 years'''. Interestingly, as noted in the previous section, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the &quot;Group 1&quot; and &quot;Group 2&quot; patriarchs.

Specifically, this balance was achieved through the following adjustments:
* '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each).
* '''Amram's''' lifespan was increased by five years.

This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing.

=== Masoretic Adjustments ===

In the 2017 article, &quot;[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs],&quot; Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition:

&lt;blockquote&gt;&quot;The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)&quot;&lt;/blockquote&gt;

While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late &quot;tweak&quot; in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges:

&lt;blockquote&gt;&quot;Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above.&quot;&lt;/blockquote&gt;

==== ''Lectio Difficilior Potior'' ====
The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the &quot;harder reading is stronger&quot;) suggests that scribes tend to simplify or &quot;smooth&quot; texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life.

In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges:

* '''Year 500 (of Noah):''' Shem is born.
* '''Year 600 (of Noah):''' The Flood occurs.
* '''Year 700 (of Noah):''' Lamech dies.

This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a &quot;compressed chronology&quot; (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (53, 653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''183 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate &quot;balancing&quot; of total chronological years.

=== Armenian Eusebius Adjustments ===
Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 220 ''šūši'' (or 10 ''šūši'' more than the Masoretic Text). Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system.

Specifically, the following adjustments appear to have occurred for Group 2 patriarchs:
* '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years.
* '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years.
* '''Nahor''' had his lifespan increased by 50 years.
* '''Amram''' had his lifespan increased by 1 year.

The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''.

= It All Started With Grain =

[[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]]

The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the [https://www.biblicalarchaeology.org/daily/news/ancient-bread-jordan/ Black Desert of Jordan]. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops.

The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the &quot;firstfruits of your harvest&quot; (referring to barley) before the Lord:

&lt;blockquote&gt;&quot;then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord&quot;&lt;/blockquote&gt;

To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues:

&lt;blockquote&gt;&quot;And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord.&quot;&lt;/blockquote&gt;

[[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]]

These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the &quot;better things&quot; and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.

This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: 

&lt;blockquote&gt;&quot;And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye &lt;small&gt;(likely emmer wheat or spelt)&lt;/small&gt; were not smitten: for they were not grown up.&quot;&lt;/blockquote&gt;

This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. 

The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest).

=== The Mathematical Structure of Jubilees ===

The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of &quot;weeks&quot;:

* '''Week of Years:''' 7&lt;sup&gt;1&lt;/sup&gt; = 7 years
* '''Jubilee of Years:''' 7&lt;sup&gt;2&lt;/sup&gt; = 49 years
* '''Week of Jubilees:''' 7&lt;sup&gt;3&lt;/sup&gt; = 343 years
* '''Jubilee of Jubilees:''' 7&lt;sup&gt;4&lt;/sup&gt; = 2,401 years

The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land.

[[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]]

The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested &quot;Jubilee of Jubilees&quot; (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle.

* The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year.
* The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years.
* The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid.
* The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs.

== The Birth of Shem (A Digression) ==
Were Noah's sons born when Noah was 500 or 502?

==== The 502 Calculation ====
While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that &quot;Noah was 500 years old, and Noah begat Shem, Ham, and Japheth,&quot; this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: 
# Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). 
# Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10])

'''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples.

==== Competing Narratives ====
According to the Book of Jubilees 4:33, Shem was the oldest son, born in Noah's 500&lt;sup&gt;th&lt;/sup&gt; year, followed by Ham in the 502&lt;sup&gt;nd&lt;/sup&gt; year, and Japheth in the 505&lt;sup&gt;th&lt;/sup&gt;. This seems to be in contradiction with the Genesis narrative which places Shem as the second son in year 502.

==== ''Lectio Difficilior Potior'' ====

The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the harder reading is stronger) suggests that scribes tend to simplify or &quot;smooth&quot; texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life.

In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28%7Cversion=SPE Lamech’s 53rd year]. If we combine that with the 500-year figure for Noah's age at the birth of his sons and the [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB Septuagint figure of 753] for Lamech's death, a suspiciously neat pattern emerges:

* '''Year 500 (of Noah):''' Shem is born.
* '''Year 600 (of Noah):''' The Flood occurs.
* '''Year 700 (of Noah):''' Lamech dies.

This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a &quot;compressed chronology&quot; (500–600–700) is a hallmark of editorial smoothing—likely values adjusted during the introduction of the universal flood narrative to create a more &quot;perfect&quot; structure.

Applying ''Lectio Difficilior'', we can reasonably set aside the figures 53, 500, and 753 as being &quot;too structured to be true,&quot; shifting our focus to less symmetrical values such as '''502''' for Shem's birth.

== The Mathematical relationship between 40 and 49 ==

As noted previously, the ''Jubilees'' author envisions early Hebraic history within a &quot;Jubilee of Jubilees&quot; fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows:

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 (7-3)(7+3) &amp;=  7^2 - 3^2 \\
 &amp;= 49 - 9 \\
 &amp;= 40
\end{aligned}
&lt;/math&gt;

The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40.

[[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] 

Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years):

[[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]]

&lt;div style=&quot;line-height: 1.5;&quot;&gt;
* '''Book of Jubilees (Adam to Canaan)'''
** Pre-Flood Patriarch years:
*:&lt;math display=&quot;block&quot;&gt;\frac{7^4 - 1}{2} + 3^2 = 1200 + 9 = 1209&lt;/math&gt;
** Post-Flood Patriarch years:
*:&lt;math display=&quot;block&quot;&gt;\frac{7^4 + 1}{2} + (7^2 - 3^2) = 1201 + 40 = 1241&lt;/math&gt;
** Total Years:
*:&lt;math display=&quot;block&quot;&gt;7^4 + 7^2 = 2401 + 49 = 2450&lt;/math&gt;
&lt;/div&gt;

== The Samaritan Pentateuch Connection ==
Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition.

[[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]]

=== Determining Chronological Priority ===
A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem is born in year 1207 (reconstructed as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 &quot;Jubilee of Jubilees.&quot;

This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's &quot;pivot&quot; position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment.

=== The 350-Year Symmetrical Extension ===
Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a &quot;week of Jubilees&quot; (343 years) plus a &quot;week of years&quot; (7 years).

&lt;div style=&quot;line-height: 1.5;&quot;&gt;
* '''Book of Jubilees (Adam to Canaan):'''
:&lt;math display=&quot;block&quot;&gt;7^4 + 7^2 = 2401 + 49 = 2450 \text{ years}&lt;/math&gt;

* '''Samaritan Pentateuch (Adam to Conquest):'''
:&lt;math display=&quot;block&quot;&gt;\begin{aligned} \text{(Base 49): } &amp; 7^4 + 7^3 + 7^2 + 7^1 = 2401 + 343 + 49 + 7 = 2800 \\ \text{(Base 40): } &amp; 70 \times 40 = 2800 \end{aligned}&lt;/math&gt;
&lt;/div&gt;

=== Mathematical Structure of the Early Samaritan Chronology ===
To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each):

* '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''.
* '''The second cluster''' represents a second millennium.
* '''The final set''' contains 20 blocks (4x5), representing '''800 years'''.

Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record.


[[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]]

== Living in the Rough ==

[[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]]

As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a &quot;generation&quot;) are less clear, but the number is consistently associated with &quot;living in the rough&quot;—periods of trial, transition, or exile away from the comforts of civilization. 

Examples of this pattern include:
* '''Noah''' lived within the ark for 40 days while the rain fell; 
* '''Israel''' wandered in the wilderness for 40 years; 
* '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. 

Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era.

Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the &quot;civilized&quot; city.

In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means &quot;supplanter&quot;—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a &quot;skillful hunter&quot; and a &quot;man of the field,&quot; while Jacob is &quot;dwelling in tents&quot; and cooking &quot;lentil stew.&quot;

The text draws a clear parallel between these two sets of brothers:
* In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. 
* In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this &quot;clever&quot; intervention, Jacob successfully secures the favor that Cain could not.

Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. 

This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the &quot;rough&quot; of the wilderness.

Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three &quot;generations&quot; (3 x 40).

The relationship between these two &quot;three-fold&quot; lifespans can be expressed by the same nine-year offset identified in the Shem chronology:

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 49 - 9 &amp;= 40 \\
 3(49 - 9) &amp;= 3(40) \\
 147 - 27 &amp;= 120
\end{aligned}
&lt;/math&gt;

[[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] 

Samaritan tradition maintains a unique cultural link to the &quot;pastoralist&quot; ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the &quot;grain-based&quot; agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to &quot;wilderness living,&quot; the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit.

=== A narrative foil for Joshua ===
As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a &quot;foil&quot; for Jacob: Moses lived exactly three &quot;generations&quot; (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization.

This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding &quot;foil&quot; to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam?

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 49 - 9 &amp;= 40 \\
 70(49 - 9) &amp;= 70(40) \\
 3,430 - 630 &amp;= 2,800
\end{aligned}
&lt;/math&gt;

Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific &quot;foil&quot; to Joshua existed in the original architect's mind.

The Samaritans do maintain a continuous, running calendar. However, this system uses a &quot;Conquest Era&quot; epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. For instance, at that time, the [[w:Hyksos|Hyksos]] were only beginning to establish control over Lower Egypt. Furthermore, the [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC.

There is, however, one more possibility to consider: what if the &quot;irreconcilable&quot; nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent &quot;foil&quot; event occurred exactly 3,430 years after Creation? 

As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare &quot;smoking gun&quot; for the artificial design of the chronology.

=== A Mystery Solved ===
In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest.

The significant milestones in this timeline include:
* '''Year 1''': &quot;This year the world and Adam were created.&quot; 
* '''Year 2801''': &quot;The first year of Israel's rule in the land of Canaan.&quot; 
* '''Year 3423''': &quot;The commencement of the kingdom of Solomon.&quot;

According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological &quot;anchor&quot; was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself.

In Creation Year 2800—marking exactly 70 &quot;generations&quot; of 40 years—God entered Canaan in a tent, embodying the &quot;living rough&quot; wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 &quot;Jubilees&quot; of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70&lt;sup&gt;th&lt;/sup&gt; generation to the 70&lt;sup&gt;th&lt;/sup&gt; Jubilee:

:&lt;math&gt;70 \times 40 + (70 \times 9) = 70 \times 49&lt;/math&gt;

=== Mathematical Structure of the Later Samaritan Chronology ===
The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years:

* '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation.
* '''The second cluster''' spans years '''3,000 to 4,000''' after Creation.
* '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation.

The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year &quot;Tabernacle&quot; era''', which is composed of:
* The 40 years of wandering in the wilderness;
* The 6 years of the initial conquest;
* The 630 years between the conquest and the completion of Solomon’s Temple.

Following the '''676-year &quot;Tabernacle&quot; era''' is a '''400-year &quot;First Temple&quot; era''' and a '''70-year &quot;Exile&quot; era''' as detailed in the historical breakdown below.

[[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]]

The Book of Daniel states: &quot;In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it&quot; (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''.

The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure.

High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. 

Using this synchronization, other significant milestones are mapped as follows:
* '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''.
* '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''.
* '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''.

High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year &quot;Second Temple Persian Era&quot; (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. 

The remainder of the diagram represents a 300-year &quot;Second Temple Hellenistic Era,&quot; which concludes in '''Creation Year 4400''' (30 BC).

=== Competing Temples ===
There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year &quot;Second Temple Persian Era&quot; (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework.

According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple:

&lt;blockquote&gt;&quot;But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel&quot; (Ezra 4:3).&lt;/blockquote&gt;

After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population.

[[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]]

This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC.

= The Rise of Zadok =
The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years:

* '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation.
* '''The second cluster''' spans years '''3,000 to 4,000''' after Creation.
* '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation.

The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section.  Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness.  To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event.

[[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]]

The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000.

= Hellenized Jews =
Hellenized Jews were
ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint.
= Start TBD =

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! rowspan = &quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;1&quot; rowspan = &quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962 &lt;br/&gt; &lt;small&gt;(847)&lt;/small&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | — &lt;br/&gt; &lt;small&gt;(847)&lt;/small&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962 &lt;br/&gt; &lt;small&gt;(1196)&lt;/small&gt;
| 847 &lt;br/&gt; &lt;small&gt;(847)&lt;/small&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962 &lt;br/&gt; &lt;small&gt;(1302)&lt;/small&gt;
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962 &lt;br/&gt; &lt;small&gt;(1282)&lt;/small&gt;

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969
| 720
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 777
| 653
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 707
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 723
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 753

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;6&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600
| rowspan=&quot;9&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438
| 538
| 535

|}

= End TBD =

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that could result in patriarchs surviving beyond the date of the Flood.
* &lt;span style=&quot;color:#333333;&quot;&gt;'''Blank Cells'''&lt;/span&gt; indicate where primary sources do not provide specific lifespan or death data.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;&quot;
|+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son)

|-
! rowspan=&quot;2&quot; colspan=&quot;1&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Adam
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 130
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 230

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Seth
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 105
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 205

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 90
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 190

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 70
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 170

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 66
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | 65
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 165

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 61
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 162
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 62
| colspan=&quot;6&quot; style=&quot;background-color:#f9f9f9;&quot; | 162

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 65
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 165

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 65
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 187
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 67
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 167 / 187
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 167
| colspan=&quot;2&quot; style=&quot;background-color:#f9f9f9;&quot; | 187

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 55
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 182
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 53
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 182 / 188
| colspan=&quot;5&quot; style=&quot;background-color:#f9f9f9;&quot; | 188

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;9&quot; style=&quot;background-color:#e8e8e8;&quot; | 500 .. 502

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot; style=&quot;text-align:left; color:black;&quot; | Pre-Flood TOTAL
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 1556
| colspan=&quot;1&quot; | 1209
| colspan=&quot;3&quot; | Varied
| colspan=&quot;1&quot; | 2142
| colspan=&quot;1&quot; | 2162
| colspan=&quot;1&quot; | 2164
|}

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;&quot;

|+ Comparison of Post-Flood Chronological Traditions (Age at birth of son)
|-
! colspan=&quot;1&quot; rowspan=&quot;2&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot;  style=&quot;text-align:left; color:black;&quot; | Pre-Flood
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 1556
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 2164
| colspan=&quot;1&quot; | 2162
| colspan=&quot;1&quot; | 2142
| colspan=&quot;3&quot; | Varied

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 100
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 112

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Arphaxad
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 66
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 35
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 135

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Cainan II
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 57
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 130
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 130
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 71
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Eber
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 64
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 34
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 134

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 61
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 59
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 32
| colspan=&quot;5&quot; style=&quot;background-color:#e8e8e8;&quot; | 132
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 135
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Serug	
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 57
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 130
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 132

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 62
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 29
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 79
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 75
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 79 / 179
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 79
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 120

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;9&quot; style=&quot;background-color:#e8e8e8;&quot; | 70

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Abram
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 78
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 75

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Canaan
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 218
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 215

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Egypt
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 238
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 430
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 215
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 430
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 215
|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Sinai +/-
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 40
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | -
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 46
| colspan=&quot;4&quot; style=&quot;background-color:#e8e8e8;&quot; | 40

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot; style=&quot;text-align:left; color:black;&quot; | GRAND TOTAL
| colspan=&quot;1&quot; | 2450
| colspan=&quot;1&quot; | 2666
| colspan=&quot;1&quot; | 2800
| colspan=&quot;1&quot; | 3885
| colspan=&quot;1&quot; | 3754
| colspan=&quot;1&quot; | 3938
| colspan=&quot;3&quot; | Varied
|}

== The Septuagint Chronology ==

While the chronologies of the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' are anchored in Levant-based agricultural cycles and the symbolic interplay of the numbers 40 and 49, the Septuagint (LXX) appears to have been structured around a different set of priorities. Specifically, the LXX's chronological framework seems designed to resolve a significant textual difficulty: the mathematical anomaly of patriarchs potentially outliving the Flood. In the 2017 article, ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', author Paul D. makes the following statement regarding the Septuagint:

&lt;blockquote&gt;“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”&lt;/blockquote&gt;

While Paul D.’s &quot;Whoops Theory&quot; suggests the LXX editor intended to &quot;fix&quot; the timeline but failed in the case of Methuselah, this interpretation potentially overlooks the systemic nature of the changes. If an editor is methodical enough to systematically alter multiple generations by exactly one hundred years, a single &quot;failure&quot; to fix Methuselah could suggest the avoidance of a post-Flood death was not the primary objective.

Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': 

&lt;blockquote&gt;&quot;Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years.&quot;&lt;/blockquote&gt; 

This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development.

=== Demetrius the Chronographer ===
Demetrius the Chronographer, writing as early as the late 3rd century BC (c. 221 BC), represents the earliest known witness to biblical chronological calculations. While only fragments of his work remain, they are significant; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. This presumably places the birth of Shem at 2,164 years—exactly one hundred years before the Flood—aligning his data with the &quot;Long Chronology&quot; of the Septuagint.

In the comment section of the original article, in response to evidence regarding this longer tradition (provided by commenter Roger Quill), Paul D. reaffirms his &quot;Whoops Theory&quot; by challenging the validity of various witnesses to the 187-year begettal age of Methuselah. In this view, Codex Alexandrinus is seen as the lone legitimate witness, while others are discounted: 

* '''Josephus:''' Characterized as dependent on the Masoretic tradition.
* '''Pseudo-Philo:''' Dismissed due to textual corruption (&quot;a real mess&quot;).
* '''Julius Africanus:''' Questioned because his records survive only through the later intermediary, Syncellus.
* '''Demetrius:''' Rejected as a witness because his chronology contains an additional 22 years (rather than the typical 20-year variance) whose precise placement remains unknown.

The claim that Julius Africanus is invalidated due to his survival through an intermediary, or that Demetrius is disqualified by a 22-year variance, is arguably overstated. A plausible explanation for the discrepancy in Demetrius's chronology is the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can easily account for such variances without necessitating the rejection of the witnesses.

=== The Correlations ===
An interesting piece of corroborating evidence exists in the previously mentioned 1864 publication by Rev. John Mills, ''Three Months' Residence at Nablus'', where High Priest Amram records his own chronological dates based on the Samaritan Pentateuch. Priest Amram lists the Flood date as 1307 years after creation, but then lists the birth of Arphaxad as 1309 years—exactly two years after the Flood—which presumably places Shem's birth in year 502 of Noah's life (though Shem's actual birth date in the text is obscured by a typo).

The internal tension in Priest Amram's calculations likely reflects the same two-year variance seen between Demetrius and Africanus. Priest Amram lists the birth years of Shelah, Eber, and Peleg as 1444, 1574, and 1708, respectively. Africanus lists those same birth years as 2397, 2527, and 2661. In each case, the Priest Amram figure differs from the Africanus value by exactly 953 years. While the chronology of Africanus may reach us through an intermediary, as Paul D. notes, the values provided by both Demetrius and Africanus are precisely what one would anticipate to resolve the &quot;Universal Flood&quot; problem.


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      <text bytes="87437" sha1="0dxm85rqdjhvkgg96phuavyabsv87kz" xml:space="preserve">{{Original research}}
This page evaluates and extends the mathematical insights presented in the 2017 article, ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'' by Paul D. While the original article provides a compelling foundation, this analysis identifies areas where the underlying data and mathematical evidence are more robust than initially presented. The following sections aim to clarify these findings and offer a more precise structural framework.

== Summary of Main Arguments ==
The ages of the patriarchs in Genesis are not intended as historical records, but as a complex symbolic mathematical structure designed by ancient authors. Key points include:

* '''Artificial Mathematical Design:''' Patriarchal ages and event years are based on symbolic or &quot;perfect&quot; numbers (such as 7, 49, and 60) rather than biological or historical reality.
* '''Alignment with Sacred Cycles:''' The chronologies are designed to align significant events—such as the Exodus and the dedication of Solomon’s Temple—with specific &quot;years of the world&quot; (''Anno Mundi''), synchronizing human history with a divine calendar.
* '''The Universal Flood as a Later Insertion:''' Evidence suggests the universal scope of Noah's Flood was a later addition to a patriarchal foundation story. This insertion disrupted the original timelines, forcing recalibrations in the Masoretic Text (MT), Samaritan Pentateuch (SP), and Septuagint (LXX) to avoid chronological contradictions.
* '''Chronological Overlaps:''' In the original numerical framework (prior to recalibration for a universal flood), the mathematical structures resulted in overlaps where certain patriarchs, such as Methuselah, survived beyond the date of the Flood.

= Arichat Yamim =

Most of the patriarchs' lifespans in the Hebrew Bible far exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101).

This phenomenon is difficult to explain, as no known ancient number system features &quot;101&quot; as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle.
 
In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a &quot;perfect&quot; Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows:

*:&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
\frac{7\,\text{šar}}{2} &amp;= 3\,\text{šar}\,\,30\,\text{šūši}  \\ 
&amp;= \left(3 \times 60^2 \, \text{years} \right) + \left(30 \times 60^1 \,\text{years} \right) \\ 
&amp;= 10,800 \, \text{years} + 1,800 \, \text{years} \\
&amp;= 12,600 \, \text{years}
\end{aligned}
&lt;/math&gt;

This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60).

==== Prototype 1: Initial &quot;Mesopotamian&quot; Allocation ====

----

&lt;div style=&quot;background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;&quot;&gt;
The initial &quot;PT1&quot; framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''):

* '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49).
* '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''.
* '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920).
&lt;/div&gt;

----

==== Prototype 2: Refined &quot;Jubilee&quot; Allocation ====

----

&lt;div style=&quot;background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;&quot;&gt;
Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the &quot;Remainder&quot; to each of the two primary groups. This resulted in the &quot;PT2&quot; figures as follows:

* '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees).
* '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees).
* '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949).
&lt;/div&gt;

----

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that result in a patriarch surviving beyond the date of the Flood.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e0f2f1; border-bottom:2px solid #009688;&quot; | PROTOTYPE 1&lt;br/&gt;(PT1)
! colspan=&quot;3&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PROTOTYPE 2&lt;br/&gt;(PT2)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;82 šūši&lt;br/&gt;(4920)&lt;/div&gt;
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;45 šūši&lt;br/&gt;(2700)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;4949&lt;/div&gt;
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2727&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 912

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 905

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 910

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;37 šūši&lt;br/&gt;(2220)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2222&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 895

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 6 (360)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot;  | Methuselah
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;46 šūši&lt;br/&gt;(2760)&lt;/div&gt;
| rowspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;32 šūši&lt;br/&gt;(1920)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2702&lt;/div&gt;
| rowspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1919&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 14 (880)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 14 (840)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam
| rowspan=&quot;18&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;82 šūši&lt;br/&gt;(4920)&lt;/div&gt;
| rowspan=&quot;5&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;40 šūši&lt;br/&gt;(2400)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 16 (960)
| rowspan=&quot;18&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;4949&lt;/div&gt;
| rowspan=&quot;5&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2401&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 930

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 10 (600)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 7 (420)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Cainan (II)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 7 (420)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 433

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Eber
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;25 šūši&lt;br/&gt;(1500)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 8 (480)
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1525&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 464

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 4 (240)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 4 (240)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Serug
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 230

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 148

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Abraham
| rowspan=&quot;7&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;17 šūši&lt;br/&gt;(1020)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| rowspan=&quot;7&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1023&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 175

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Isaac
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jacob
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 147

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Levi
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kohath
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Amram
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 131

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Moses
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 120

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! style=&quot;text-align:left; color:black;&quot; | LIFESPAN&lt;br/&gt;DURATION&lt;br/&gt;SUM
| colspan=&quot;6&quot; | 210 šūši&lt;br/&gt;(12,600 years)
|}

== PT2 as the Base Model for Patriarchal Chronologies ==
The &quot;PT2&quot; chronology serves as the foundational model from which subsequent patriarchal lifespans in various textual traditions were derived. Evidence for this remains visible across nearly all biblical records, as they consistently preserve the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1).

* '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost.
* '''The Masoretic Text (MT):''' This tradition shifted 6 years from the &quot;Remainder&quot; to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block.
* '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši'''''.
* '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence.

The use of rounded Mesopotamian figures in the Armenian Eusebius Chronology suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the Septuagint's divergence indicates a later development—likely in Alexandria—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;

|+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum)
|-
! rowspan=&quot;2&quot; | Patriarch Groups
! rowspan=&quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;2&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;3&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! style=&quot;background-color:#e3f2fd;&quot; | Masoretic&lt;br/&gt;(MT)
! style=&quot;background-color:#e3f2fd;&quot; | Samaritan&lt;br/&gt;(SP)
! style=&quot;background-color:#fff3e0;&quot; | Josephus&lt;br/&gt;(94 AD)
! style=&quot;background-color:#fff3e0;&quot; | Eusebius&lt;br/&gt;(325 AD)
! style=&quot;background-color:#fff3e0;&quot; | Septuagint&lt;br/&gt;(LXX)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth to Enoch&lt;br/&gt;&lt;small&gt;(6 Patriarchs)&lt;/small&gt;
| colspan=&quot;2&quot; style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
| style=&quot;background-color:#f9f9f9;&quot; | 4834&lt;br/&gt;&lt;small&gt;(4949 - 115)&lt;/small&gt;
| colspan=&quot;3&quot; style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
|-

| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah, Lamech, Noah&lt;br/&gt;&lt;small&gt;(The Remainder)&lt;/small&gt;
| style=&quot;font-weight:bold; background-color:#f9f9f9;&quot; | 2702
| style=&quot;background-color:#f9f9f9;&quot; | 2696&lt;br/&gt;&lt;small&gt;(2702 - 6)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2323&lt;br/&gt;&lt;small&gt;(2702 - 379)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2626&lt;br/&gt;&lt;small&gt;(2702 - 76)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2642&lt;br/&gt;&lt;small&gt;(2702 - 60)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2672&lt;br/&gt;&lt;small&gt;(2702 - 30)&lt;/small&gt;
|-

| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam &amp; Shem to Moses&lt;br/&gt;&lt;small&gt;(The &quot;Second Half&quot;)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
| style=&quot;background-color:#f9f9f9;&quot; | 4955&lt;br/&gt;&lt;small&gt;(4949 + 6)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 4834&lt;br/&gt;&lt;small&gt;(4949 - 115)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | —
| style=&quot;background-color:#f9f9f9;&quot; | 5609&lt;br/&gt;&lt;small&gt;(4949 + 660)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 5930&lt;br/&gt;&lt;small&gt;(4949 + 981)&lt;/small&gt;

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:14px;&quot;
! LIFESPAN DURATION SUM
| colspan=&quot;2&quot; | 12,600
| 11,991
| —
| 13,200
| 13,551
|}
&lt;small&gt;* '''Dash (—)''' indicates where primary sources do not provide complete death data.&lt;/small&gt;

== Comparative Chronology Tables ==

The following table reconstructs lifespan values across multiple chronological traditions. While most values are derived directly from the primary source texts listed in the header, the '''Armenian Eusebius''' chronology does not explicitly record the lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that result in a patriarch surviving beyond the date of the Flood.
* &lt;span style=&quot;color:#333333;&quot;&gt;'''Blank Cells'''&lt;/span&gt; indicate where primary sources do not provide specific lifespan or death data.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! rowspan = &quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;1&quot; rowspan = &quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;2&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;3&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 912

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 905

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 910

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 895

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962
| 847
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969
| 720
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;6&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 777
| 653
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 707
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 723
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 753

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 930

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600
| rowspan=&quot;9&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438
| 538
| 535

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Cainan (II)
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —
| —
| 460

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 433
| 536
| 460

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Eber
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 464
| 404
| 567
| colspan=&quot;2&quot; | 404

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239
| colspan=&quot;2&quot; | 339

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239
| 342
| 339

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Serug
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 230
| colspan=&quot;2&quot; | 330

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 148
| 198
| 304

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205
| 145
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Abraham
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 175

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Isaac
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180
| 185
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jacob
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 147

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Levi
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137
| rowspan=&quot;3&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kohath
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Amram
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 131
| 137
| 136
| colspan=&quot;2&quot; | 132

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Moses
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 120

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! style=&quot;text-align:left; color:black;&quot; | LIFESPAN&lt;br/&gt;DURATION&lt;br/&gt;SUM
| colspan=&quot;2&quot; | 12,600
| colspan=&quot;1&quot; | 11,991
| —
| colspan=&quot;1&quot; | 13,200
| colspan=&quot;1&quot; | 13,551
|}

=== Samaritan Adjustments ===
Four of the pre-flood patriarchs—Jared, Methuselah, Lamech, and Noah—are credited with exceptionally long lives late in the chronology, which creates a potential overlap where these four patriarchs appear to survive Noah's flood. As shown in the above table, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. Other traditions do not employ this specific reduction, but all must address the issue of flood survival, as explained in later sections.

The required reduction in Jared's lifespan was '''115 years'''. Interestingly, as noted in the previous section, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the &quot;Group 1&quot; and &quot;Group 2&quot; patriarchs.

Specifically, this balance was achieved through the following adjustments:
* '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each).
* '''Amram's''' lifespan was increased by five years.

This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing.

=== Masoretic Adjustments ===

In the 2017 article, &quot;[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs],&quot; Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition:

&lt;blockquote&gt;&quot;The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)&quot;&lt;/blockquote&gt;

While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late &quot;tweak&quot; in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges:

&lt;blockquote&gt;&quot;Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above.&quot;&lt;/blockquote&gt;

==== ''Lectio Difficilior Potior'' ====
The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the &quot;harder reading is stronger&quot;) suggests that scribes tend to simplify or &quot;smooth&quot; texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life.

In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges:

* '''Year 500 (of Noah):''' Shem is born.
* '''Year 600 (of Noah):''' The Flood occurs.
* '''Year 700 (of Noah):''' Lamech dies.

This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a &quot;compressed chronology&quot; (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (53, 653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''183 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate &quot;balancing&quot; of total chronological years.

=== Armenian Eusebius Adjustments ===
Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 220 ''šūši'' (or 10 ''šūši'' more than the Masoretic Text). Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system.

Specifically, the following adjustments appear to have occurred for Group 2 patriarchs:
* '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years.
* '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years.
* '''Nahor''' had his lifespan increased by 50 years.
* '''Amram''' had his lifespan increased by 1 year.

The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''.

= It All Started With Grain =

[[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]]

The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the [https://www.biblicalarchaeology.org/daily/news/ancient-bread-jordan/ Black Desert of Jordan]. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops.

The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the &quot;firstfruits of your harvest&quot; (referring to barley) before the Lord:

&lt;blockquote&gt;&quot;then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord&quot;&lt;/blockquote&gt;

To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues:

&lt;blockquote&gt;&quot;And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord.&quot;&lt;/blockquote&gt;

[[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]]

These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the &quot;better things&quot; and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.

This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: 

&lt;blockquote&gt;&quot;And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye &lt;small&gt;(likely emmer wheat or spelt)&lt;/small&gt; were not smitten: for they were not grown up.&quot;&lt;/blockquote&gt;

This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. 

The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest).

=== The Mathematical Structure of Jubilees ===

The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of &quot;weeks&quot;:

* '''Week of Years:''' 7&lt;sup&gt;1&lt;/sup&gt; = 7 years
* '''Jubilee of Years:''' 7&lt;sup&gt;2&lt;/sup&gt; = 49 years
* '''Week of Jubilees:''' 7&lt;sup&gt;3&lt;/sup&gt; = 343 years
* '''Jubilee of Jubilees:''' 7&lt;sup&gt;4&lt;/sup&gt; = 2,401 years

The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land.

[[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]]

The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested &quot;Jubilee of Jubilees&quot; (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle.

* The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year.
* The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years.
* The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid.
* The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs.

== The Birth of Shem (A Digression) ==
Were Noah's sons born when Noah was 500 or 502?

==== The 502 Calculation ====
While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that &quot;Noah was 500 years old, and Noah begat Shem, Ham, and Japheth,&quot; this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: 
# Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). 
# Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10])

'''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples.

==== Competing Narratives ====
According to the Book of Jubilees 4:33, Shem was the oldest son, born in Noah's 500&lt;sup&gt;th&lt;/sup&gt; year, followed by Ham in the 502&lt;sup&gt;nd&lt;/sup&gt; year, and Japheth in the 505&lt;sup&gt;th&lt;/sup&gt;. This seems to be in contradiction with the Genesis narrative which places Shem as the second son in year 502.

==== ''Lectio Difficilior Potior'' ====

The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the harder reading is stronger) suggests that scribes tend to simplify or &quot;smooth&quot; texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life.

In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28%7Cversion=SPE Lamech’s 53rd year]. If we combine that with the 500-year figure for Noah's age at the birth of his sons and the [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB Septuagint figure of 753] for Lamech's death, a suspiciously neat pattern emerges:

* '''Year 500 (of Noah):''' Shem is born.
* '''Year 600 (of Noah):''' The Flood occurs.
* '''Year 700 (of Noah):''' Lamech dies.

This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a &quot;compressed chronology&quot; (500–600–700) is a hallmark of editorial smoothing—likely values adjusted during the introduction of the universal flood narrative to create a more &quot;perfect&quot; structure.

Applying ''Lectio Difficilior'', we can reasonably set aside the figures 53, 500, and 753 as being &quot;too structured to be true,&quot; shifting our focus to less symmetrical values such as '''502''' for Shem's birth.

== The Mathematical relationship between 40 and 49 ==

As noted previously, the ''Jubilees'' author envisions early Hebraic history within a &quot;Jubilee of Jubilees&quot; fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows:

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 (7-3)(7+3) &amp;=  7^2 - 3^2 \\
 &amp;= 49 - 9 \\
 &amp;= 40
\end{aligned}
&lt;/math&gt;

The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40.

[[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] 

Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years):

[[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]]

&lt;div style=&quot;line-height: 1.5;&quot;&gt;
* '''Book of Jubilees (Adam to Canaan)'''
** Pre-Flood Patriarch years:
*:&lt;math display=&quot;block&quot;&gt;\frac{7^4 - 1}{2} + 3^2 = 1200 + 9 = 1209&lt;/math&gt;
** Post-Flood Patriarch years:
*:&lt;math display=&quot;block&quot;&gt;\frac{7^4 + 1}{2} + (7^2 - 3^2) = 1201 + 40 = 1241&lt;/math&gt;
** Total Years:
*:&lt;math display=&quot;block&quot;&gt;7^4 + 7^2 = 2401 + 49 = 2450&lt;/math&gt;
&lt;/div&gt;

== The Samaritan Pentateuch Connection ==
Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition.

[[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]]

=== Determining Chronological Priority ===
A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem is born in year 1207 (reconstructed as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 &quot;Jubilee of Jubilees.&quot;

This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's &quot;pivot&quot; position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment.

=== The 350-Year Symmetrical Extension ===
Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a &quot;week of Jubilees&quot; (343 years) plus a &quot;week of years&quot; (7 years).

&lt;div style=&quot;line-height: 1.5;&quot;&gt;
* '''Book of Jubilees (Adam to Canaan):'''
:&lt;math display=&quot;block&quot;&gt;7^4 + 7^2 = 2401 + 49 = 2450 \text{ years}&lt;/math&gt;

* '''Samaritan Pentateuch (Adam to Conquest):'''
:&lt;math display=&quot;block&quot;&gt;\begin{aligned} \text{(Base 49): } &amp; 7^4 + 7^3 + 7^2 + 7^1 = 2401 + 343 + 49 + 7 = 2800 \\ \text{(Base 40): } &amp; 70 \times 40 = 2800 \end{aligned}&lt;/math&gt;
&lt;/div&gt;

=== Mathematical Structure of the Early Samaritan Chronology ===
To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each):

* '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''.
* '''The second cluster''' represents a second millennium.
* '''The final set''' contains 20 blocks (4x5), representing '''800 years'''.

Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record.


[[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]]

== Living in the Rough ==

[[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]]

As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a &quot;generation&quot;) are less clear, but the number is consistently associated with &quot;living in the rough&quot;—periods of trial, transition, or exile away from the comforts of civilization. 

Examples of this pattern include:
* '''Noah''' lived within the ark for 40 days while the rain fell; 
* '''Israel''' wandered in the wilderness for 40 years; 
* '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. 

Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era.

Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the &quot;civilized&quot; city.

In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means &quot;supplanter&quot;—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a &quot;skillful hunter&quot; and a &quot;man of the field,&quot; while Jacob is &quot;dwelling in tents&quot; and cooking &quot;lentil stew.&quot;

The text draws a clear parallel between these two sets of brothers:
* In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. 
* In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this &quot;clever&quot; intervention, Jacob successfully secures the favor that Cain could not.

Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. 

This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the &quot;rough&quot; of the wilderness.

Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three &quot;generations&quot; (3 x 40).

The relationship between these two &quot;three-fold&quot; lifespans can be expressed by the same nine-year offset identified in the Shem chronology:

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 49 - 9 &amp;= 40 \\
 3(49 - 9) &amp;= 3(40) \\
 147 - 27 &amp;= 120
\end{aligned}
&lt;/math&gt;

[[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] 

Samaritan tradition maintains a unique cultural link to the &quot;pastoralist&quot; ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the &quot;grain-based&quot; agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to &quot;wilderness living,&quot; the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit.

=== A narrative foil for Joshua ===
As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a &quot;foil&quot; for Jacob: Moses lived exactly three &quot;generations&quot; (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization.

This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding &quot;foil&quot; to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam?

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 49 - 9 &amp;= 40 \\
 70(49 - 9) &amp;= 70(40) \\
 3,430 - 630 &amp;= 2,800
\end{aligned}
&lt;/math&gt;

Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific &quot;foil&quot; to Joshua existed in the original architect's mind.

The Samaritans do maintain a continuous, running calendar. However, this system uses a &quot;Conquest Era&quot; epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. For instance, at that time, the [[w:Hyksos|Hyksos]] were only beginning to establish control over Lower Egypt. Furthermore, the [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC.

There is, however, one more possibility to consider: what if the &quot;irreconcilable&quot; nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent &quot;foil&quot; event occurred exactly 3,430 years after Creation? 

As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare &quot;smoking gun&quot; for the artificial design of the chronology.

=== A Mystery Solved ===
In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest.

The significant milestones in this timeline include:
* '''Year 1''': &quot;This year the world and Adam were created.&quot; 
* '''Year 2801''': &quot;The first year of Israel's rule in the land of Canaan.&quot; 
* '''Year 3423''': &quot;The commencement of the kingdom of Solomon.&quot;

According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological &quot;anchor&quot; was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself.

In Creation Year 2800—marking exactly 70 &quot;generations&quot; of 40 years—God entered Canaan in a tent, embodying the &quot;living rough&quot; wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 &quot;Jubilees&quot; of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70&lt;sup&gt;th&lt;/sup&gt; generation to the 70&lt;sup&gt;th&lt;/sup&gt; Jubilee:

:&lt;math&gt;70 \times 40 + (70 \times 9) = 70 \times 49&lt;/math&gt;

=== Mathematical Structure of the Later Samaritan Chronology ===
The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years:

* '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation.
* '''The second cluster''' spans years '''3,000 to 4,000''' after Creation.
* '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation.

The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year &quot;Tabernacle&quot; era''', which is composed of:
* The 40 years of wandering in the wilderness;
* The 6 years of the initial conquest;
* The 630 years between the conquest and the completion of Solomon’s Temple.

Following the '''676-year &quot;Tabernacle&quot; era''' is a '''400-year &quot;First Temple&quot; era''' and a '''70-year &quot;Exile&quot; era''' as detailed in the historical breakdown below.

[[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]]

The Book of Daniel states: &quot;In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it&quot; (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''.

The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure.

High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. 

Using this synchronization, other significant milestones are mapped as follows:
* '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''.
* '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''.
* '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''.

High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year &quot;Second Temple Persian Era&quot; (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. 

The remainder of the diagram represents a 300-year &quot;Second Temple Hellenistic Era,&quot; which concludes in '''Creation Year 4400''' (30 BC).

=== Competing Temples ===
There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year &quot;Second Temple Persian Era&quot; (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework.

According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple:

&lt;blockquote&gt;&quot;But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel&quot; (Ezra 4:3).&lt;/blockquote&gt;

After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population.

[[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]]

This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC.

= The Rise of Zadok =
The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years:

* '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation.
* '''The second cluster''' spans years '''3,000 to 4,000''' after Creation.
* '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation.

The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section.  Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness.  To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event.

[[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]]

The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000.

= Hellenized Jews =
Hellenized Jews were
ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint.
= Start TBD =

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! rowspan = &quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;1&quot; rowspan = &quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962 &lt;br/&gt; &lt;small&gt;(847)&lt;/small&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | — &lt;br/&gt; &lt;small&gt;(847)&lt;/small&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962 &lt;br/&gt; &lt;small&gt;(1196)&lt;/small&gt;
| 847 &lt;br/&gt; &lt;small&gt;(847)&lt;/small&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962 &lt;br/&gt; &lt;small&gt;(1302)&lt;/small&gt;
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962 &lt;br/&gt; &lt;small&gt;(1282)&lt;/small&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962 &lt;br/&gt; &lt;small&gt;(1302)&lt;/small&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962 &lt;br/&gt; &lt;small&gt;(1304)&lt;/small&gt;

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969
| 720
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 777
| 653
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 707
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 723
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 753

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;6&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600
| rowspan=&quot;9&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438
| 538
| 535

|}

= End TBD =

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that could result in patriarchs surviving beyond the date of the Flood.
* &lt;span style=&quot;color:#333333;&quot;&gt;'''Blank Cells'''&lt;/span&gt; indicate where primary sources do not provide specific lifespan or death data.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;&quot;
|+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son)

|-
! rowspan=&quot;2&quot; colspan=&quot;1&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Adam
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 130
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 230

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Seth
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 105
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 205

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 90
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 190

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 70
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 170

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 66
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | 65
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 165

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 61
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 162
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 62
| colspan=&quot;6&quot; style=&quot;background-color:#f9f9f9;&quot; | 162

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 65
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 165

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 65
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 187
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 67
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 167 / 187
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 167
| colspan=&quot;2&quot; style=&quot;background-color:#f9f9f9;&quot; | 187

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 55
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 182
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 53
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 182 / 188
| colspan=&quot;5&quot; style=&quot;background-color:#f9f9f9;&quot; | 188

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;9&quot; style=&quot;background-color:#e8e8e8;&quot; | 500 .. 502

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot; style=&quot;text-align:left; color:black;&quot; | Pre-Flood TOTAL
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 1556
| colspan=&quot;1&quot; | 1209
| colspan=&quot;3&quot; | Varied
| colspan=&quot;1&quot; | 2142
| colspan=&quot;1&quot; | 2162
| colspan=&quot;1&quot; | 2164
|}

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;&quot;

|+ Comparison of Post-Flood Chronological Traditions (Age at birth of son)
|-
! colspan=&quot;1&quot; rowspan=&quot;2&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot;  style=&quot;text-align:left; color:black;&quot; | Pre-Flood
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 1556
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 2164
| colspan=&quot;1&quot; | 2162
| colspan=&quot;1&quot; | 2142
| colspan=&quot;3&quot; | Varied

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 100
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 112

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Arphaxad
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 66
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 35
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 135

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Cainan II
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 57
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 130
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 130
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 71
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Eber
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 64
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 34
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 134

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 61
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 59
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 32
| colspan=&quot;5&quot; style=&quot;background-color:#e8e8e8;&quot; | 132
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 135
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Serug	
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 57
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 130
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 132

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 62
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 29
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 79
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 75
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 79 / 179
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 79
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 120

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;9&quot; style=&quot;background-color:#e8e8e8;&quot; | 70

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Abram
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 78
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 75

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Canaan
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 218
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 215

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Egypt
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 238
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 430
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 215
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 430
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 215
|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Sinai +/-
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 40
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | -
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 46
| colspan=&quot;4&quot; style=&quot;background-color:#e8e8e8;&quot; | 40

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot; style=&quot;text-align:left; color:black;&quot; | GRAND TOTAL
| colspan=&quot;1&quot; | 2450
| colspan=&quot;1&quot; | 2666
| colspan=&quot;1&quot; | 2800
| colspan=&quot;1&quot; | 3885
| colspan=&quot;1&quot; | 3754
| colspan=&quot;1&quot; | 3938
| colspan=&quot;3&quot; | Varied
|}

== The Septuagint Chronology ==

While the chronologies of the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' are anchored in Levant-based agricultural cycles and the symbolic interplay of the numbers 40 and 49, the Septuagint (LXX) appears to have been structured around a different set of priorities. Specifically, the LXX's chronological framework seems designed to resolve a significant textual difficulty: the mathematical anomaly of patriarchs potentially outliving the Flood. In the 2017 article, ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', author Paul D. makes the following statement regarding the Septuagint:

&lt;blockquote&gt;“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”&lt;/blockquote&gt;

While Paul D.’s &quot;Whoops Theory&quot; suggests the LXX editor intended to &quot;fix&quot; the timeline but failed in the case of Methuselah, this interpretation potentially overlooks the systemic nature of the changes. If an editor is methodical enough to systematically alter multiple generations by exactly one hundred years, a single &quot;failure&quot; to fix Methuselah could suggest the avoidance of a post-Flood death was not the primary objective.

Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': 

&lt;blockquote&gt;&quot;Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years.&quot;&lt;/blockquote&gt; 

This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development.

=== Demetrius the Chronographer ===
Demetrius the Chronographer, writing as early as the late 3rd century BC (c. 221 BC), represents the earliest known witness to biblical chronological calculations. While only fragments of his work remain, they are significant; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. This presumably places the birth of Shem at 2,164 years—exactly one hundred years before the Flood—aligning his data with the &quot;Long Chronology&quot; of the Septuagint.

In the comment section of the original article, in response to evidence regarding this longer tradition (provided by commenter Roger Quill), Paul D. reaffirms his &quot;Whoops Theory&quot; by challenging the validity of various witnesses to the 187-year begettal age of Methuselah. In this view, Codex Alexandrinus is seen as the lone legitimate witness, while others are discounted: 

* '''Josephus:''' Characterized as dependent on the Masoretic tradition.
* '''Pseudo-Philo:''' Dismissed due to textual corruption (&quot;a real mess&quot;).
* '''Julius Africanus:''' Questioned because his records survive only through the later intermediary, Syncellus.
* '''Demetrius:''' Rejected as a witness because his chronology contains an additional 22 years (rather than the typical 20-year variance) whose precise placement remains unknown.

The claim that Julius Africanus is invalidated due to his survival through an intermediary, or that Demetrius is disqualified by a 22-year variance, is arguably overstated. A plausible explanation for the discrepancy in Demetrius's chronology is the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can easily account for such variances without necessitating the rejection of the witnesses.

=== The Correlations ===
An interesting piece of corroborating evidence exists in the previously mentioned 1864 publication by Rev. John Mills, ''Three Months' Residence at Nablus'', where High Priest Amram records his own chronological dates based on the Samaritan Pentateuch. Priest Amram lists the Flood date as 1307 years after creation, but then lists the birth of Arphaxad as 1309 years—exactly two years after the Flood—which presumably places Shem's birth in year 502 of Noah's life (though Shem's actual birth date in the text is obscured by a typo).

The internal tension in Priest Amram's calculations likely reflects the same two-year variance seen between Demetrius and Africanus. Priest Amram lists the birth years of Shelah, Eber, and Peleg as 1444, 1574, and 1708, respectively. Africanus lists those same birth years as 2397, 2527, and 2661. In each case, the Priest Amram figure differs from the Africanus value by exactly 953 years. While the chronology of Africanus may reach us through an intermediary, as Paul D. notes, the values provided by both Demetrius and Africanus are precisely what one would anticipate to resolve the &quot;Universal Flood&quot; problem.


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      <text bytes="87438" sha1="ctiqxdecdi6r9j8slfg0zk6b59atmu9" xml:space="preserve">{{Original research}}
This page evaluates and extends the mathematical insights presented in the 2017 article, ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'' by Paul D. While the original article provides a compelling foundation, this analysis identifies areas where the underlying data and mathematical evidence are more robust than initially presented. The following sections aim to clarify these findings and offer a more precise structural framework.

== Summary of Main Arguments ==
The ages of the patriarchs in Genesis are not intended as historical records, but as a complex symbolic mathematical structure designed by ancient authors. Key points include:

* '''Artificial Mathematical Design:''' Patriarchal ages and event years are based on symbolic or &quot;perfect&quot; numbers (such as 7, 49, and 60) rather than biological or historical reality.
* '''Alignment with Sacred Cycles:''' The chronologies are designed to align significant events—such as the Exodus and the dedication of Solomon’s Temple—with specific &quot;years of the world&quot; (''Anno Mundi''), synchronizing human history with a divine calendar.
* '''The Universal Flood as a Later Insertion:''' Evidence suggests the universal scope of Noah's Flood was a later addition to a patriarchal foundation story. This insertion disrupted the original timelines, forcing recalibrations in the Masoretic Text (MT), Samaritan Pentateuch (SP), and Septuagint (LXX) to avoid chronological contradictions.
* '''Chronological Overlaps:''' In the original numerical framework (prior to recalibration for a universal flood), the mathematical structures resulted in overlaps where certain patriarchs, such as Methuselah, survived beyond the date of the Flood.

= Arichat Yamim =

Most of the patriarchs' lifespans in the Hebrew Bible far exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101).

This phenomenon is difficult to explain, as no known ancient number system features &quot;101&quot; as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle.
 
In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a &quot;perfect&quot; Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows:

*:&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
\frac{7\,\text{šar}}{2} &amp;= 3\,\text{šar}\,\,30\,\text{šūši}  \\ 
&amp;= \left(3 \times 60^2 \, \text{years} \right) + \left(30 \times 60^1 \,\text{years} \right) \\ 
&amp;= 10,800 \, \text{years} + 1,800 \, \text{years} \\
&amp;= 12,600 \, \text{years}
\end{aligned}
&lt;/math&gt;

This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60).

==== Prototype 1: Initial &quot;Mesopotamian&quot; Allocation ====

----

&lt;div style=&quot;background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;&quot;&gt;
The initial &quot;PT1&quot; framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''):

* '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49).
* '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''.
* '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920).
&lt;/div&gt;

----

==== Prototype 2: Refined &quot;Jubilee&quot; Allocation ====

----

&lt;div style=&quot;background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;&quot;&gt;
Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the &quot;Remainder&quot; to each of the two primary groups. This resulted in the &quot;PT2&quot; figures as follows:

* '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees).
* '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees).
* '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949).
&lt;/div&gt;

----

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that result in a patriarch surviving beyond the date of the Flood.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e0f2f1; border-bottom:2px solid #009688;&quot; | PROTOTYPE 1&lt;br/&gt;(PT1)
! colspan=&quot;3&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PROTOTYPE 2&lt;br/&gt;(PT2)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;82 šūši&lt;br/&gt;(4920)&lt;/div&gt;
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;45 šūši&lt;br/&gt;(2700)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;4949&lt;/div&gt;
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2727&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 912

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 905

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 910

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;37 šūši&lt;br/&gt;(2220)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2222&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 895

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 6 (360)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot;  | Methuselah
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;46 šūši&lt;br/&gt;(2760)&lt;/div&gt;
| rowspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;32 šūši&lt;br/&gt;(1920)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2702&lt;/div&gt;
| rowspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1919&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 14 (880)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 14 (840)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam
| rowspan=&quot;18&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;82 šūši&lt;br/&gt;(4920)&lt;/div&gt;
| rowspan=&quot;5&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;40 šūši&lt;br/&gt;(2400)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 16 (960)
| rowspan=&quot;18&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;4949&lt;/div&gt;
| rowspan=&quot;5&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2401&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 930

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 10 (600)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 7 (420)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Cainan (II)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 7 (420)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 433

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Eber
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;25 šūši&lt;br/&gt;(1500)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 8 (480)
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1525&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 464

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 4 (240)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 4 (240)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Serug
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 230

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 148

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Abraham
| rowspan=&quot;7&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;17 šūši&lt;br/&gt;(1020)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| rowspan=&quot;7&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1023&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 175

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Isaac
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jacob
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 147

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Levi
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kohath
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Amram
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 131

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Moses
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 120

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! style=&quot;text-align:left; color:black;&quot; | LIFESPAN&lt;br/&gt;DURATION&lt;br/&gt;SUM
| colspan=&quot;6&quot; | 210 šūši&lt;br/&gt;(12,600 years)
|}

== PT2 as the Base Model for Patriarchal Chronologies ==
The &quot;PT2&quot; chronology serves as the foundational model from which subsequent patriarchal lifespans in various textual traditions were derived. Evidence for this remains visible across nearly all biblical records, as they consistently preserve the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1).

* '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost.
* '''The Masoretic Text (MT):''' This tradition shifted 6 years from the &quot;Remainder&quot; to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block.
* '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši'''''.
* '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence.

The use of rounded Mesopotamian figures in the Armenian Eusebius Chronology suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the Septuagint's divergence indicates a later development—likely in Alexandria—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;

|+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum)
|-
! rowspan=&quot;2&quot; | Patriarch Groups
! rowspan=&quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;2&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;3&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! style=&quot;background-color:#e3f2fd;&quot; | Masoretic&lt;br/&gt;(MT)
! style=&quot;background-color:#e3f2fd;&quot; | Samaritan&lt;br/&gt;(SP)
! style=&quot;background-color:#fff3e0;&quot; | Josephus&lt;br/&gt;(94 AD)
! style=&quot;background-color:#fff3e0;&quot; | Eusebius&lt;br/&gt;(325 AD)
! style=&quot;background-color:#fff3e0;&quot; | Septuagint&lt;br/&gt;(LXX)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth to Enoch&lt;br/&gt;&lt;small&gt;(6 Patriarchs)&lt;/small&gt;
| colspan=&quot;2&quot; style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
| style=&quot;background-color:#f9f9f9;&quot; | 4834&lt;br/&gt;&lt;small&gt;(4949 - 115)&lt;/small&gt;
| colspan=&quot;3&quot; style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
|-

| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah, Lamech, Noah&lt;br/&gt;&lt;small&gt;(The Remainder)&lt;/small&gt;
| style=&quot;font-weight:bold; background-color:#f9f9f9;&quot; | 2702
| style=&quot;background-color:#f9f9f9;&quot; | 2696&lt;br/&gt;&lt;small&gt;(2702 - 6)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2323&lt;br/&gt;&lt;small&gt;(2702 - 379)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2626&lt;br/&gt;&lt;small&gt;(2702 - 76)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2642&lt;br/&gt;&lt;small&gt;(2702 - 60)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2672&lt;br/&gt;&lt;small&gt;(2702 - 30)&lt;/small&gt;
|-

| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam &amp; Shem to Moses&lt;br/&gt;&lt;small&gt;(The &quot;Second Half&quot;)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
| style=&quot;background-color:#f9f9f9;&quot; | 4955&lt;br/&gt;&lt;small&gt;(4949 + 6)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 4834&lt;br/&gt;&lt;small&gt;(4949 - 115)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | —
| style=&quot;background-color:#f9f9f9;&quot; | 5609&lt;br/&gt;&lt;small&gt;(4949 + 660)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 5930&lt;br/&gt;&lt;small&gt;(4949 + 981)&lt;/small&gt;

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:14px;&quot;
! LIFESPAN DURATION SUM
| colspan=&quot;2&quot; | 12,600
| 11,991
| —
| 13,200
| 13,551
|}
&lt;small&gt;* '''Dash (—)''' indicates where primary sources do not provide complete death data.&lt;/small&gt;

== Comparative Chronology Tables ==

The following table reconstructs lifespan values across multiple chronological traditions. While most values are derived directly from the primary source texts listed in the header, the '''Armenian Eusebius''' chronology does not explicitly record the lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that result in a patriarch surviving beyond the date of the Flood.
* &lt;span style=&quot;color:#333333;&quot;&gt;'''Blank Cells'''&lt;/span&gt; indicate where primary sources do not provide specific lifespan or death data.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! rowspan = &quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;1&quot; rowspan = &quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;2&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;3&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 912

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 905

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 910

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 895

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962
| 847
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969
| 720
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;6&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 777
| 653
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 707
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 723
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 753

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 930

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600
| rowspan=&quot;9&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438
| 538
| 535

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Cainan (II)
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —
| —
| 460

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 433
| 536
| 460

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Eber
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 464
| 404
| 567
| colspan=&quot;2&quot; | 404

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239
| colspan=&quot;2&quot; | 339

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239
| 342
| 339

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Serug
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 230
| colspan=&quot;2&quot; | 330

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 148
| 198
| 304

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205
| 145
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Abraham
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 175

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Isaac
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180
| 185
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jacob
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 147

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Levi
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137
| rowspan=&quot;3&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kohath
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Amram
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 131
| 137
| 136
| colspan=&quot;2&quot; | 132

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Moses
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 120

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! style=&quot;text-align:left; color:black;&quot; | LIFESPAN&lt;br/&gt;DURATION&lt;br/&gt;SUM
| colspan=&quot;2&quot; | 12,600
| colspan=&quot;1&quot; | 11,991
| —
| colspan=&quot;1&quot; | 13,200
| colspan=&quot;1&quot; | 13,551
|}

=== Samaritan Adjustments ===
Four of the pre-flood patriarchs—Jared, Methuselah, Lamech, and Noah—are credited with exceptionally long lives late in the chronology, which creates a potential overlap where these four patriarchs appear to survive Noah's flood. As shown in the above table, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. Other traditions do not employ this specific reduction, but all must address the issue of flood survival, as explained in later sections.

The required reduction in Jared's lifespan was '''115 years'''. Interestingly, as noted in the previous section, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the &quot;Group 1&quot; and &quot;Group 2&quot; patriarchs.

Specifically, this balance was achieved through the following adjustments:
* '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each).
* '''Amram's''' lifespan was increased by five years.

This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing.

=== Masoretic Adjustments ===

In the 2017 article, &quot;[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs],&quot; Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition:

&lt;blockquote&gt;&quot;The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)&quot;&lt;/blockquote&gt;

While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late &quot;tweak&quot; in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges:

&lt;blockquote&gt;&quot;Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above.&quot;&lt;/blockquote&gt;

==== ''Lectio Difficilior Potior'' ====
The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the &quot;harder reading is stronger&quot;) suggests that scribes tend to simplify or &quot;smooth&quot; texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life.

In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges:

* '''Year 500 (of Noah):''' Shem is born.
* '''Year 600 (of Noah):''' The Flood occurs.
* '''Year 700 (of Noah):''' Lamech dies.

This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a &quot;compressed chronology&quot; (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (53, 653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''183 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate &quot;balancing&quot; of total chronological years.

=== Armenian Eusebius Adjustments ===
Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 220 ''šūši'' (or 10 ''šūši'' more than the Masoretic Text). Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system.

Specifically, the following adjustments appear to have occurred for Group 2 patriarchs:
* '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years.
* '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years.
* '''Nahor''' had his lifespan increased by 50 years.
* '''Amram''' had his lifespan increased by 1 year.

The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''.

= It All Started With Grain =

[[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]]

The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the [https://www.biblicalarchaeology.org/daily/news/ancient-bread-jordan/ Black Desert of Jordan]. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops.

The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the &quot;firstfruits of your harvest&quot; (referring to barley) before the Lord:

&lt;blockquote&gt;&quot;then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord&quot;&lt;/blockquote&gt;

To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues:

&lt;blockquote&gt;&quot;And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord.&quot;&lt;/blockquote&gt;

[[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]]

These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the &quot;better things&quot; and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.

This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: 

&lt;blockquote&gt;&quot;And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye &lt;small&gt;(likely emmer wheat or spelt)&lt;/small&gt; were not smitten: for they were not grown up.&quot;&lt;/blockquote&gt;

This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. 

The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest).

=== The Mathematical Structure of Jubilees ===

The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of &quot;weeks&quot;:

* '''Week of Years:''' 7&lt;sup&gt;1&lt;/sup&gt; = 7 years
* '''Jubilee of Years:''' 7&lt;sup&gt;2&lt;/sup&gt; = 49 years
* '''Week of Jubilees:''' 7&lt;sup&gt;3&lt;/sup&gt; = 343 years
* '''Jubilee of Jubilees:''' 7&lt;sup&gt;4&lt;/sup&gt; = 2,401 years

The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land.

[[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]]

The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested &quot;Jubilee of Jubilees&quot; (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle.

* The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year.
* The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years.
* The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid.
* The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs.

== The Birth of Shem (A Digression) ==
Were Noah's sons born when Noah was 500 or 502?

==== The 502 Calculation ====
While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that &quot;Noah was 500 years old, and Noah begat Shem, Ham, and Japheth,&quot; this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: 
# Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). 
# Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10])

'''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples.

==== Competing Narratives ====
According to the Book of Jubilees 4:33, Shem was the oldest son, born in Noah's 500&lt;sup&gt;th&lt;/sup&gt; year, followed by Ham in the 502&lt;sup&gt;nd&lt;/sup&gt; year, and Japheth in the 505&lt;sup&gt;th&lt;/sup&gt;. This seems to be in contradiction with the Genesis narrative which places Shem as the second son in year 502.

==== ''Lectio Difficilior Potior'' ====

The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the harder reading is stronger) suggests that scribes tend to simplify or &quot;smooth&quot; texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life.

In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28%7Cversion=SPE Lamech’s 53rd year]. If we combine that with the 500-year figure for Noah's age at the birth of his sons and the [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB Septuagint figure of 753] for Lamech's death, a suspiciously neat pattern emerges:

* '''Year 500 (of Noah):''' Shem is born.
* '''Year 600 (of Noah):''' The Flood occurs.
* '''Year 700 (of Noah):''' Lamech dies.

This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a &quot;compressed chronology&quot; (500–600–700) is a hallmark of editorial smoothing—likely values adjusted during the introduction of the universal flood narrative to create a more &quot;perfect&quot; structure.

Applying ''Lectio Difficilior'', we can reasonably set aside the figures 53, 500, and 753 as being &quot;too structured to be true,&quot; shifting our focus to less symmetrical values such as '''502''' for Shem's birth.

== The Mathematical relationship between 40 and 49 ==

As noted previously, the ''Jubilees'' author envisions early Hebraic history within a &quot;Jubilee of Jubilees&quot; fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows:

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 (7-3)(7+3) &amp;=  7^2 - 3^2 \\
 &amp;= 49 - 9 \\
 &amp;= 40
\end{aligned}
&lt;/math&gt;

The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40.

[[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] 

Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years):

[[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]]

&lt;div style=&quot;line-height: 1.5;&quot;&gt;
* '''Book of Jubilees (Adam to Canaan)'''
** Pre-Flood Patriarch years:
*:&lt;math display=&quot;block&quot;&gt;\frac{7^4 - 1}{2} + 3^2 = 1200 + 9 = 1209&lt;/math&gt;
** Post-Flood Patriarch years:
*:&lt;math display=&quot;block&quot;&gt;\frac{7^4 + 1}{2} + (7^2 - 3^2) = 1201 + 40 = 1241&lt;/math&gt;
** Total Years:
*:&lt;math display=&quot;block&quot;&gt;7^4 + 7^2 = 2401 + 49 = 2450&lt;/math&gt;
&lt;/div&gt;

== The Samaritan Pentateuch Connection ==
Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition.

[[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]]

=== Determining Chronological Priority ===
A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem is born in year 1207 (reconstructed as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 &quot;Jubilee of Jubilees.&quot;

This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's &quot;pivot&quot; position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment.

=== The 350-Year Symmetrical Extension ===
Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a &quot;week of Jubilees&quot; (343 years) plus a &quot;week of years&quot; (7 years).

&lt;div style=&quot;line-height: 1.5;&quot;&gt;
* '''Book of Jubilees (Adam to Canaan):'''
:&lt;math display=&quot;block&quot;&gt;7^4 + 7^2 = 2401 + 49 = 2450 \text{ years}&lt;/math&gt;

* '''Samaritan Pentateuch (Adam to Conquest):'''
:&lt;math display=&quot;block&quot;&gt;\begin{aligned} \text{(Base 49): } &amp; 7^4 + 7^3 + 7^2 + 7^1 = 2401 + 343 + 49 + 7 = 2800 \\ \text{(Base 40): } &amp; 70 \times 40 = 2800 \end{aligned}&lt;/math&gt;
&lt;/div&gt;

=== Mathematical Structure of the Early Samaritan Chronology ===
To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each):

* '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''.
* '''The second cluster''' represents a second millennium.
* '''The final set''' contains 20 blocks (4x5), representing '''800 years'''.

Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record.


[[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]]

== Living in the Rough ==

[[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]]

As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a &quot;generation&quot;) are less clear, but the number is consistently associated with &quot;living in the rough&quot;—periods of trial, transition, or exile away from the comforts of civilization. 

Examples of this pattern include:
* '''Noah''' lived within the ark for 40 days while the rain fell; 
* '''Israel''' wandered in the wilderness for 40 years; 
* '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. 

Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era.

Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the &quot;civilized&quot; city.

In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means &quot;supplanter&quot;—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a &quot;skillful hunter&quot; and a &quot;man of the field,&quot; while Jacob is &quot;dwelling in tents&quot; and cooking &quot;lentil stew.&quot;

The text draws a clear parallel between these two sets of brothers:
* In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. 
* In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this &quot;clever&quot; intervention, Jacob successfully secures the favor that Cain could not.

Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. 

This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the &quot;rough&quot; of the wilderness.

Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three &quot;generations&quot; (3 x 40).

The relationship between these two &quot;three-fold&quot; lifespans can be expressed by the same nine-year offset identified in the Shem chronology:

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 49 - 9 &amp;= 40 \\
 3(49 - 9) &amp;= 3(40) \\
 147 - 27 &amp;= 120
\end{aligned}
&lt;/math&gt;

[[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] 

Samaritan tradition maintains a unique cultural link to the &quot;pastoralist&quot; ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the &quot;grain-based&quot; agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to &quot;wilderness living,&quot; the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit.

=== A narrative foil for Joshua ===
As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a &quot;foil&quot; for Jacob: Moses lived exactly three &quot;generations&quot; (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization.

This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding &quot;foil&quot; to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam?

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 49 - 9 &amp;= 40 \\
 70(49 - 9) &amp;= 70(40) \\
 3,430 - 630 &amp;= 2,800
\end{aligned}
&lt;/math&gt;

Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific &quot;foil&quot; to Joshua existed in the original architect's mind.

The Samaritans do maintain a continuous, running calendar. However, this system uses a &quot;Conquest Era&quot; epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. For instance, at that time, the [[w:Hyksos|Hyksos]] were only beginning to establish control over Lower Egypt. Furthermore, the [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC.

There is, however, one more possibility to consider: what if the &quot;irreconcilable&quot; nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent &quot;foil&quot; event occurred exactly 3,430 years after Creation? 

As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare &quot;smoking gun&quot; for the artificial design of the chronology.

=== A Mystery Solved ===
In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest.

The significant milestones in this timeline include:
* '''Year 1''': &quot;This year the world and Adam were created.&quot; 
* '''Year 2801''': &quot;The first year of Israel's rule in the land of Canaan.&quot; 
* '''Year 3423''': &quot;The commencement of the kingdom of Solomon.&quot;

According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological &quot;anchor&quot; was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself.

In Creation Year 2800—marking exactly 70 &quot;generations&quot; of 40 years—God entered Canaan in a tent, embodying the &quot;living rough&quot; wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 &quot;Jubilees&quot; of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70&lt;sup&gt;th&lt;/sup&gt; generation to the 70&lt;sup&gt;th&lt;/sup&gt; Jubilee:

:&lt;math&gt;70 \times 40 + (70 \times 9) = 70 \times 49&lt;/math&gt;

=== Mathematical Structure of the Later Samaritan Chronology ===
The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years:

* '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation.
* '''The second cluster''' spans years '''3,000 to 4,000''' after Creation.
* '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation.

The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year &quot;Tabernacle&quot; era''', which is composed of:
* The 40 years of wandering in the wilderness;
* The 6 years of the initial conquest;
* The 630 years between the conquest and the completion of Solomon’s Temple.

Following the '''676-year &quot;Tabernacle&quot; era''' is a '''400-year &quot;First Temple&quot; era''' and a '''70-year &quot;Exile&quot; era''' as detailed in the historical breakdown below.

[[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]]

The Book of Daniel states: &quot;In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it&quot; (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''.

The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure.

High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. 

Using this synchronization, other significant milestones are mapped as follows:
* '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''.
* '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''.
* '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''.

High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year &quot;Second Temple Persian Era&quot; (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. 

The remainder of the diagram represents a 300-year &quot;Second Temple Hellenistic Era,&quot; which concludes in '''Creation Year 4400''' (30 BC).

=== Competing Temples ===
There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year &quot;Second Temple Persian Era&quot; (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework.

According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple:

&lt;blockquote&gt;&quot;But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel&quot; (Ezra 4:3).&lt;/blockquote&gt;

After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population.

[[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]]

This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC.

= The Rise of Zadok =
The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years:

* '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation.
* '''The second cluster''' spans years '''3,000 to 4,000''' after Creation.
* '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation.

The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section.  Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness.  To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event.

[[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]]

The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000.

= Hellenized Jews =
Hellenized Jews were
ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint.
= Start TBD =

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! rowspan = &quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;1&quot; rowspan = &quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962 &lt;br/&gt; &lt;small&gt;(847)&lt;/small&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | — &lt;br/&gt; &lt;small&gt;(847)&lt;/small&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962 &lt;br/&gt; &lt;small&gt;(1196)&lt;/small&gt;
| 847 &lt;br/&gt; &lt;small&gt;(847)&lt;/small&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962 &lt;br/&gt; &lt;small&gt;(1302)&lt;/small&gt;
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962 &lt;br/&gt; &lt;small&gt;(1282)&lt;/small&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962 &lt;br/&gt; &lt;small&gt;(1302)&lt;/small&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962 &lt;br/&gt; &lt;small&gt;(1304)&lt;/small&gt;

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;10&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969
| 720
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 777
| 653
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 707
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 723
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 753

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;6&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600
| rowspan=&quot;9&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438
| 538
| 535

|}

= End TBD =

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that could result in patriarchs surviving beyond the date of the Flood.
* &lt;span style=&quot;color:#333333;&quot;&gt;'''Blank Cells'''&lt;/span&gt; indicate where primary sources do not provide specific lifespan or death data.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;&quot;
|+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son)

|-
! rowspan=&quot;2&quot; colspan=&quot;1&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Adam
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 130
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 230

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Seth
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 105
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 205

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 90
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 190

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 70
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 170

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 66
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | 65
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 165

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 61
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 162
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 62
| colspan=&quot;6&quot; style=&quot;background-color:#f9f9f9;&quot; | 162

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 65
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 165

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 65
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 187
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 67
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 167 / 187
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 167
| colspan=&quot;2&quot; style=&quot;background-color:#f9f9f9;&quot; | 187

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 55
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 182
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 53
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 182 / 188
| colspan=&quot;5&quot; style=&quot;background-color:#f9f9f9;&quot; | 188

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;9&quot; style=&quot;background-color:#e8e8e8;&quot; | 500 .. 502

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot; style=&quot;text-align:left; color:black;&quot; | Pre-Flood TOTAL
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 1556
| colspan=&quot;1&quot; | 1209
| colspan=&quot;3&quot; | Varied
| colspan=&quot;1&quot; | 2142
| colspan=&quot;1&quot; | 2162
| colspan=&quot;1&quot; | 2164
|}

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;&quot;

|+ Comparison of Post-Flood Chronological Traditions (Age at birth of son)
|-
! colspan=&quot;1&quot; rowspan=&quot;2&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot;  style=&quot;text-align:left; color:black;&quot; | Pre-Flood
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 1556
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 2164
| colspan=&quot;1&quot; | 2162
| colspan=&quot;1&quot; | 2142
| colspan=&quot;3&quot; | Varied

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 100
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 112

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Arphaxad
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 66
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 35
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 135

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Cainan II
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 57
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 130
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 130
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 71
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Eber
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 64
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 34
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 134

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 61
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 59
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 32
| colspan=&quot;5&quot; style=&quot;background-color:#e8e8e8;&quot; | 132
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 135
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Serug	
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 57
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 130
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 132

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 62
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 29
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 79
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 75
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 79 / 179
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 79
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 120

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;9&quot; style=&quot;background-color:#e8e8e8;&quot; | 70

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Abram
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 78
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 75

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Canaan
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 218
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 215

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Egypt
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 238
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 430
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 215
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 430
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 215
|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Sinai +/-
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 40
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | -
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 46
| colspan=&quot;4&quot; style=&quot;background-color:#e8e8e8;&quot; | 40

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot; style=&quot;text-align:left; color:black;&quot; | GRAND TOTAL
| colspan=&quot;1&quot; | 2450
| colspan=&quot;1&quot; | 2666
| colspan=&quot;1&quot; | 2800
| colspan=&quot;1&quot; | 3885
| colspan=&quot;1&quot; | 3754
| colspan=&quot;1&quot; | 3938
| colspan=&quot;3&quot; | Varied
|}

== The Septuagint Chronology ==

While the chronologies of the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' are anchored in Levant-based agricultural cycles and the symbolic interplay of the numbers 40 and 49, the Septuagint (LXX) appears to have been structured around a different set of priorities. Specifically, the LXX's chronological framework seems designed to resolve a significant textual difficulty: the mathematical anomaly of patriarchs potentially outliving the Flood. In the 2017 article, ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', author Paul D. makes the following statement regarding the Septuagint:

&lt;blockquote&gt;“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”&lt;/blockquote&gt;

While Paul D.’s &quot;Whoops Theory&quot; suggests the LXX editor intended to &quot;fix&quot; the timeline but failed in the case of Methuselah, this interpretation potentially overlooks the systemic nature of the changes. If an editor is methodical enough to systematically alter multiple generations by exactly one hundred years, a single &quot;failure&quot; to fix Methuselah could suggest the avoidance of a post-Flood death was not the primary objective.

Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': 

&lt;blockquote&gt;&quot;Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years.&quot;&lt;/blockquote&gt; 

This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development.

=== Demetrius the Chronographer ===
Demetrius the Chronographer, writing as early as the late 3rd century BC (c. 221 BC), represents the earliest known witness to biblical chronological calculations. While only fragments of his work remain, they are significant; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. This presumably places the birth of Shem at 2,164 years—exactly one hundred years before the Flood—aligning his data with the &quot;Long Chronology&quot; of the Septuagint.

In the comment section of the original article, in response to evidence regarding this longer tradition (provided by commenter Roger Quill), Paul D. reaffirms his &quot;Whoops Theory&quot; by challenging the validity of various witnesses to the 187-year begettal age of Methuselah. In this view, Codex Alexandrinus is seen as the lone legitimate witness, while others are discounted: 

* '''Josephus:''' Characterized as dependent on the Masoretic tradition.
* '''Pseudo-Philo:''' Dismissed due to textual corruption (&quot;a real mess&quot;).
* '''Julius Africanus:''' Questioned because his records survive only through the later intermediary, Syncellus.
* '''Demetrius:''' Rejected as a witness because his chronology contains an additional 22 years (rather than the typical 20-year variance) whose precise placement remains unknown.

The claim that Julius Africanus is invalidated due to his survival through an intermediary, or that Demetrius is disqualified by a 22-year variance, is arguably overstated. A plausible explanation for the discrepancy in Demetrius's chronology is the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can easily account for such variances without necessitating the rejection of the witnesses.

=== The Correlations ===
An interesting piece of corroborating evidence exists in the previously mentioned 1864 publication by Rev. John Mills, ''Three Months' Residence at Nablus'', where High Priest Amram records his own chronological dates based on the Samaritan Pentateuch. Priest Amram lists the Flood date as 1307 years after creation, but then lists the birth of Arphaxad as 1309 years—exactly two years after the Flood—which presumably places Shem's birth in year 502 of Noah's life (though Shem's actual birth date in the text is obscured by a typo).

The internal tension in Priest Amram's calculations likely reflects the same two-year variance seen between Demetrius and Africanus. Priest Amram lists the birth years of Shelah, Eber, and Peleg as 1444, 1574, and 1708, respectively. Africanus lists those same birth years as 2397, 2527, and 2661. In each case, the Priest Amram figure differs from the Africanus value by exactly 953 years. While the chronology of Africanus may reach us through an intermediary, as Paul D. notes, the values provided by both Demetrius and Africanus are precisely what one would anticipate to resolve the &quot;Universal Flood&quot; problem.


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      <text bytes="87579" sha1="64xly14smutneelqosaa4dtpgsqx84e" xml:space="preserve">{{Original research}}
This page evaluates and extends the mathematical insights presented in the 2017 article, ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'' by Paul D. While the original article provides a compelling foundation, this analysis identifies areas where the underlying data and mathematical evidence are more robust than initially presented. The following sections aim to clarify these findings and offer a more precise structural framework.

== Summary of Main Arguments ==
The ages of the patriarchs in Genesis are not intended as historical records, but as a complex symbolic mathematical structure designed by ancient authors. Key points include:

* '''Artificial Mathematical Design:''' Patriarchal ages and event years are based on symbolic or &quot;perfect&quot; numbers (such as 7, 49, and 60) rather than biological or historical reality.
* '''Alignment with Sacred Cycles:''' The chronologies are designed to align significant events—such as the Exodus and the dedication of Solomon’s Temple—with specific &quot;years of the world&quot; (''Anno Mundi''), synchronizing human history with a divine calendar.
* '''The Universal Flood as a Later Insertion:''' Evidence suggests the universal scope of Noah's Flood was a later addition to a patriarchal foundation story. This insertion disrupted the original timelines, forcing recalibrations in the Masoretic Text (MT), Samaritan Pentateuch (SP), and Septuagint (LXX) to avoid chronological contradictions.
* '''Chronological Overlaps:''' In the original numerical framework (prior to recalibration for a universal flood), the mathematical structures resulted in overlaps where certain patriarchs, such as Methuselah, survived beyond the date of the Flood.

= Arichat Yamim =

Most of the patriarchs' lifespans in the Hebrew Bible far exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101).

This phenomenon is difficult to explain, as no known ancient number system features &quot;101&quot; as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle.
 
In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a &quot;perfect&quot; Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows:

*:&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
\frac{7\,\text{šar}}{2} &amp;= 3\,\text{šar}\,\,30\,\text{šūši}  \\ 
&amp;= \left(3 \times 60^2 \, \text{years} \right) + \left(30 \times 60^1 \,\text{years} \right) \\ 
&amp;= 10,800 \, \text{years} + 1,800 \, \text{years} \\
&amp;= 12,600 \, \text{years}
\end{aligned}
&lt;/math&gt;

This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60).

==== Prototype 1: Initial &quot;Mesopotamian&quot; Allocation ====

----

&lt;div style=&quot;background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;&quot;&gt;
The initial &quot;PT1&quot; framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''):

* '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49).
* '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''.
* '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920).
&lt;/div&gt;

----

==== Prototype 2: Refined &quot;Jubilee&quot; Allocation ====

----

&lt;div style=&quot;background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;&quot;&gt;
Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the &quot;Remainder&quot; to each of the two primary groups. This resulted in the &quot;PT2&quot; figures as follows:

* '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees).
* '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees).
* '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949).
&lt;/div&gt;

----

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that result in a patriarch surviving beyond the date of the Flood.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e0f2f1; border-bottom:2px solid #009688;&quot; | PROTOTYPE 1&lt;br/&gt;(PT1)
! colspan=&quot;3&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PROTOTYPE 2&lt;br/&gt;(PT2)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;82 šūši&lt;br/&gt;(4920)&lt;/div&gt;
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;45 šūši&lt;br/&gt;(2700)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;4949&lt;/div&gt;
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2727&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 912

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 905

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 910

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;37 šūši&lt;br/&gt;(2220)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2222&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 895

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 6 (360)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot;  | Methuselah
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;46 šūši&lt;br/&gt;(2760)&lt;/div&gt;
| rowspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;32 šūši&lt;br/&gt;(1920)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2702&lt;/div&gt;
| rowspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1919&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 14 (880)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 14 (840)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam
| rowspan=&quot;18&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;82 šūši&lt;br/&gt;(4920)&lt;/div&gt;
| rowspan=&quot;5&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;40 šūši&lt;br/&gt;(2400)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 16 (960)
| rowspan=&quot;18&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;4949&lt;/div&gt;
| rowspan=&quot;5&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2401&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 930

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 10 (600)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 7 (420)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Cainan (II)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 7 (420)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 433

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Eber
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;25 šūši&lt;br/&gt;(1500)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 8 (480)
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1525&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 464

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 4 (240)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 4 (240)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Serug
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 230

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 148

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Abraham
| rowspan=&quot;7&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;17 šūši&lt;br/&gt;(1020)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| rowspan=&quot;7&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1023&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 175

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Isaac
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jacob
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 147

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Levi
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kohath
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Amram
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 131

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Moses
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 120

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! style=&quot;text-align:left; color:black;&quot; | LIFESPAN&lt;br/&gt;DURATION&lt;br/&gt;SUM
| colspan=&quot;6&quot; | 210 šūši&lt;br/&gt;(12,600 years)
|}

== PT2 as the Base Model for Patriarchal Chronologies ==
The &quot;PT2&quot; chronology serves as the foundational model from which subsequent patriarchal lifespans in various textual traditions were derived. Evidence for this remains visible across nearly all biblical records, as they consistently preserve the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1).

* '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost.
* '''The Masoretic Text (MT):''' This tradition shifted 6 years from the &quot;Remainder&quot; to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block.
* '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši'''''.
* '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence.

The use of rounded Mesopotamian figures in the Armenian Eusebius Chronology suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the Septuagint's divergence indicates a later development—likely in Alexandria—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;

|+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum)
|-
! rowspan=&quot;2&quot; | Patriarch Groups
! rowspan=&quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;2&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;3&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! style=&quot;background-color:#e3f2fd;&quot; | Masoretic&lt;br/&gt;(MT)
! style=&quot;background-color:#e3f2fd;&quot; | Samaritan&lt;br/&gt;(SP)
! style=&quot;background-color:#fff3e0;&quot; | Josephus&lt;br/&gt;(94 AD)
! style=&quot;background-color:#fff3e0;&quot; | Eusebius&lt;br/&gt;(325 AD)
! style=&quot;background-color:#fff3e0;&quot; | Septuagint&lt;br/&gt;(LXX)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth to Enoch&lt;br/&gt;&lt;small&gt;(6 Patriarchs)&lt;/small&gt;
| colspan=&quot;2&quot; style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
| style=&quot;background-color:#f9f9f9;&quot; | 4834&lt;br/&gt;&lt;small&gt;(4949 - 115)&lt;/small&gt;
| colspan=&quot;3&quot; style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
|-

| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah, Lamech, Noah&lt;br/&gt;&lt;small&gt;(The Remainder)&lt;/small&gt;
| style=&quot;font-weight:bold; background-color:#f9f9f9;&quot; | 2702
| style=&quot;background-color:#f9f9f9;&quot; | 2696&lt;br/&gt;&lt;small&gt;(2702 - 6)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2323&lt;br/&gt;&lt;small&gt;(2702 - 379)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2626&lt;br/&gt;&lt;small&gt;(2702 - 76)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2642&lt;br/&gt;&lt;small&gt;(2702 - 60)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2672&lt;br/&gt;&lt;small&gt;(2702 - 30)&lt;/small&gt;
|-

| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam &amp; Shem to Moses&lt;br/&gt;&lt;small&gt;(The &quot;Second Half&quot;)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
| style=&quot;background-color:#f9f9f9;&quot; | 4955&lt;br/&gt;&lt;small&gt;(4949 + 6)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 4834&lt;br/&gt;&lt;small&gt;(4949 - 115)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | —
| style=&quot;background-color:#f9f9f9;&quot; | 5609&lt;br/&gt;&lt;small&gt;(4949 + 660)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 5930&lt;br/&gt;&lt;small&gt;(4949 + 981)&lt;/small&gt;

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:14px;&quot;
! LIFESPAN DURATION SUM
| colspan=&quot;2&quot; | 12,600
| 11,991
| —
| 13,200
| 13,551
|}
&lt;small&gt;* '''Dash (—)''' indicates where primary sources do not provide complete death data.&lt;/small&gt;

== Comparative Chronology Tables ==

The following table reconstructs lifespan values across multiple chronological traditions. While most values are derived directly from the primary source texts listed in the header, the '''Armenian Eusebius''' chronology does not explicitly record the lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that result in a patriarch surviving beyond the date of the Flood.
* &lt;span style=&quot;color:#333333;&quot;&gt;'''Blank Cells'''&lt;/span&gt; indicate where primary sources do not provide specific lifespan or death data.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! rowspan = &quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;1&quot; rowspan = &quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;2&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;3&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 912

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 905

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 910

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 895

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962
| 847
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969
| 720
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;6&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 777
| 653
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 707
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 723
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 753

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 930

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600
| rowspan=&quot;9&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438
| 538
| 535

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Cainan (II)
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —
| —
| 460

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 433
| 536
| 460

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Eber
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 464
| 404
| 567
| colspan=&quot;2&quot; | 404

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239
| colspan=&quot;2&quot; | 339

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239
| 342
| 339

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Serug
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 230
| colspan=&quot;2&quot; | 330

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 148
| 198
| 304

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205
| 145
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Abraham
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 175

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Isaac
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180
| 185
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jacob
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 147

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Levi
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137
| rowspan=&quot;3&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kohath
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Amram
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 131
| 137
| 136
| colspan=&quot;2&quot; | 132

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Moses
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 120

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! style=&quot;text-align:left; color:black;&quot; | LIFESPAN&lt;br/&gt;DURATION&lt;br/&gt;SUM
| colspan=&quot;2&quot; | 12,600
| colspan=&quot;1&quot; | 11,991
| —
| colspan=&quot;1&quot; | 13,200
| colspan=&quot;1&quot; | 13,551
|}

=== Samaritan Adjustments ===
Four of the pre-flood patriarchs—Jared, Methuselah, Lamech, and Noah—are credited with exceptionally long lives late in the chronology, which creates a potential overlap where these four patriarchs appear to survive Noah's flood. As shown in the above table, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. Other traditions do not employ this specific reduction, but all must address the issue of flood survival, as explained in later sections.

The required reduction in Jared's lifespan was '''115 years'''. Interestingly, as noted in the previous section, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the &quot;Group 1&quot; and &quot;Group 2&quot; patriarchs.

Specifically, this balance was achieved through the following adjustments:
* '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each).
* '''Amram's''' lifespan was increased by five years.

This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing.

=== Masoretic Adjustments ===

In the 2017 article, &quot;[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs],&quot; Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition:

&lt;blockquote&gt;&quot;The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)&quot;&lt;/blockquote&gt;

While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late &quot;tweak&quot; in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges:

&lt;blockquote&gt;&quot;Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above.&quot;&lt;/blockquote&gt;

==== ''Lectio Difficilior Potior'' ====
The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the &quot;harder reading is stronger&quot;) suggests that scribes tend to simplify or &quot;smooth&quot; texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life.

In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges:

* '''Year 500 (of Noah):''' Shem is born.
* '''Year 600 (of Noah):''' The Flood occurs.
* '''Year 700 (of Noah):''' Lamech dies.

This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a &quot;compressed chronology&quot; (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (53, 653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''183 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate &quot;balancing&quot; of total chronological years.

=== Armenian Eusebius Adjustments ===
Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 220 ''šūši'' (or 10 ''šūši'' more than the Masoretic Text). Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system.

Specifically, the following adjustments appear to have occurred for Group 2 patriarchs:
* '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years.
* '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years.
* '''Nahor''' had his lifespan increased by 50 years.
* '''Amram''' had his lifespan increased by 1 year.

The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''.

= It All Started With Grain =

[[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]]

The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the [https://www.biblicalarchaeology.org/daily/news/ancient-bread-jordan/ Black Desert of Jordan]. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops.

The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the &quot;firstfruits of your harvest&quot; (referring to barley) before the Lord:

&lt;blockquote&gt;&quot;then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord&quot;&lt;/blockquote&gt;

To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues:

&lt;blockquote&gt;&quot;And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord.&quot;&lt;/blockquote&gt;

[[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]]

These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the &quot;better things&quot; and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.

This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: 

&lt;blockquote&gt;&quot;And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye &lt;small&gt;(likely emmer wheat or spelt)&lt;/small&gt; were not smitten: for they were not grown up.&quot;&lt;/blockquote&gt;

This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. 

The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest).

=== The Mathematical Structure of Jubilees ===

The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of &quot;weeks&quot;:

* '''Week of Years:''' 7&lt;sup&gt;1&lt;/sup&gt; = 7 years
* '''Jubilee of Years:''' 7&lt;sup&gt;2&lt;/sup&gt; = 49 years
* '''Week of Jubilees:''' 7&lt;sup&gt;3&lt;/sup&gt; = 343 years
* '''Jubilee of Jubilees:''' 7&lt;sup&gt;4&lt;/sup&gt; = 2,401 years

The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land.

[[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]]

The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested &quot;Jubilee of Jubilees&quot; (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle.

* The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year.
* The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years.
* The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid.
* The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs.

== The Birth of Shem (A Digression) ==
Were Noah's sons born when Noah was 500 or 502?

==== The 502 Calculation ====
While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that &quot;Noah was 500 years old, and Noah begat Shem, Ham, and Japheth,&quot; this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: 
# Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). 
# Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10])

'''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples.

==== Competing Narratives ====
According to the Book of Jubilees 4:33, Shem was the oldest son, born in Noah's 500&lt;sup&gt;th&lt;/sup&gt; year, followed by Ham in the 502&lt;sup&gt;nd&lt;/sup&gt; year, and Japheth in the 505&lt;sup&gt;th&lt;/sup&gt;. This seems to be in contradiction with the Genesis narrative which places Shem as the second son in year 502.

==== ''Lectio Difficilior Potior'' ====

The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the harder reading is stronger) suggests that scribes tend to simplify or &quot;smooth&quot; texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life.

In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28%7Cversion=SPE Lamech’s 53rd year]. If we combine that with the 500-year figure for Noah's age at the birth of his sons and the [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB Septuagint figure of 753] for Lamech's death, a suspiciously neat pattern emerges:

* '''Year 500 (of Noah):''' Shem is born.
* '''Year 600 (of Noah):''' The Flood occurs.
* '''Year 700 (of Noah):''' Lamech dies.

This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a &quot;compressed chronology&quot; (500–600–700) is a hallmark of editorial smoothing—likely values adjusted during the introduction of the universal flood narrative to create a more &quot;perfect&quot; structure.

Applying ''Lectio Difficilior'', we can reasonably set aside the figures 53, 500, and 753 as being &quot;too structured to be true,&quot; shifting our focus to less symmetrical values such as '''502''' for Shem's birth.

== The Mathematical relationship between 40 and 49 ==

As noted previously, the ''Jubilees'' author envisions early Hebraic history within a &quot;Jubilee of Jubilees&quot; fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows:

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 (7-3)(7+3) &amp;=  7^2 - 3^2 \\
 &amp;= 49 - 9 \\
 &amp;= 40
\end{aligned}
&lt;/math&gt;

The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40.

[[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] 

Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years):

[[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]]

&lt;div style=&quot;line-height: 1.5;&quot;&gt;
* '''Book of Jubilees (Adam to Canaan)'''
** Pre-Flood Patriarch years:
*:&lt;math display=&quot;block&quot;&gt;\frac{7^4 - 1}{2} + 3^2 = 1200 + 9 = 1209&lt;/math&gt;
** Post-Flood Patriarch years:
*:&lt;math display=&quot;block&quot;&gt;\frac{7^4 + 1}{2} + (7^2 - 3^2) = 1201 + 40 = 1241&lt;/math&gt;
** Total Years:
*:&lt;math display=&quot;block&quot;&gt;7^4 + 7^2 = 2401 + 49 = 2450&lt;/math&gt;
&lt;/div&gt;

== The Samaritan Pentateuch Connection ==
Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition.

[[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]]

=== Determining Chronological Priority ===
A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem is born in year 1207 (reconstructed as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 &quot;Jubilee of Jubilees.&quot;

This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's &quot;pivot&quot; position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment.

=== The 350-Year Symmetrical Extension ===
Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a &quot;week of Jubilees&quot; (343 years) plus a &quot;week of years&quot; (7 years).

&lt;div style=&quot;line-height: 1.5;&quot;&gt;
* '''Book of Jubilees (Adam to Canaan):'''
:&lt;math display=&quot;block&quot;&gt;7^4 + 7^2 = 2401 + 49 = 2450 \text{ years}&lt;/math&gt;

* '''Samaritan Pentateuch (Adam to Conquest):'''
:&lt;math display=&quot;block&quot;&gt;\begin{aligned} \text{(Base 49): } &amp; 7^4 + 7^3 + 7^2 + 7^1 = 2401 + 343 + 49 + 7 = 2800 \\ \text{(Base 40): } &amp; 70 \times 40 = 2800 \end{aligned}&lt;/math&gt;
&lt;/div&gt;

=== Mathematical Structure of the Early Samaritan Chronology ===
To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each):

* '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''.
* '''The second cluster''' represents a second millennium.
* '''The final set''' contains 20 blocks (4x5), representing '''800 years'''.

Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record.


[[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]]

== Living in the Rough ==

[[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]]

As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a &quot;generation&quot;) are less clear, but the number is consistently associated with &quot;living in the rough&quot;—periods of trial, transition, or exile away from the comforts of civilization. 

Examples of this pattern include:
* '''Noah''' lived within the ark for 40 days while the rain fell; 
* '''Israel''' wandered in the wilderness for 40 years; 
* '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. 

Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era.

Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the &quot;civilized&quot; city.

In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means &quot;supplanter&quot;—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a &quot;skillful hunter&quot; and a &quot;man of the field,&quot; while Jacob is &quot;dwelling in tents&quot; and cooking &quot;lentil stew.&quot;

The text draws a clear parallel between these two sets of brothers:
* In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. 
* In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this &quot;clever&quot; intervention, Jacob successfully secures the favor that Cain could not.

Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. 

This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the &quot;rough&quot; of the wilderness.

Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three &quot;generations&quot; (3 x 40).

The relationship between these two &quot;three-fold&quot; lifespans can be expressed by the same nine-year offset identified in the Shem chronology:

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 49 - 9 &amp;= 40 \\
 3(49 - 9) &amp;= 3(40) \\
 147 - 27 &amp;= 120
\end{aligned}
&lt;/math&gt;

[[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] 

Samaritan tradition maintains a unique cultural link to the &quot;pastoralist&quot; ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the &quot;grain-based&quot; agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to &quot;wilderness living,&quot; the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit.

=== A narrative foil for Joshua ===
As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a &quot;foil&quot; for Jacob: Moses lived exactly three &quot;generations&quot; (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization.

This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding &quot;foil&quot; to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam?

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 49 - 9 &amp;= 40 \\
 70(49 - 9) &amp;= 70(40) \\
 3,430 - 630 &amp;= 2,800
\end{aligned}
&lt;/math&gt;

Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific &quot;foil&quot; to Joshua existed in the original architect's mind.

The Samaritans do maintain a continuous, running calendar. However, this system uses a &quot;Conquest Era&quot; epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. For instance, at that time, the [[w:Hyksos|Hyksos]] were only beginning to establish control over Lower Egypt. Furthermore, the [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC.

There is, however, one more possibility to consider: what if the &quot;irreconcilable&quot; nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent &quot;foil&quot; event occurred exactly 3,430 years after Creation? 

As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare &quot;smoking gun&quot; for the artificial design of the chronology.

=== A Mystery Solved ===
In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest.

The significant milestones in this timeline include:
* '''Year 1''': &quot;This year the world and Adam were created.&quot; 
* '''Year 2801''': &quot;The first year of Israel's rule in the land of Canaan.&quot; 
* '''Year 3423''': &quot;The commencement of the kingdom of Solomon.&quot;

According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological &quot;anchor&quot; was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself.

In Creation Year 2800—marking exactly 70 &quot;generations&quot; of 40 years—God entered Canaan in a tent, embodying the &quot;living rough&quot; wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 &quot;Jubilees&quot; of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70&lt;sup&gt;th&lt;/sup&gt; generation to the 70&lt;sup&gt;th&lt;/sup&gt; Jubilee:

:&lt;math&gt;70 \times 40 + (70 \times 9) = 70 \times 49&lt;/math&gt;

=== Mathematical Structure of the Later Samaritan Chronology ===
The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years:

* '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation.
* '''The second cluster''' spans years '''3,000 to 4,000''' after Creation.
* '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation.

The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year &quot;Tabernacle&quot; era''', which is composed of:
* The 40 years of wandering in the wilderness;
* The 6 years of the initial conquest;
* The 630 years between the conquest and the completion of Solomon’s Temple.

Following the '''676-year &quot;Tabernacle&quot; era''' is a '''400-year &quot;First Temple&quot; era''' and a '''70-year &quot;Exile&quot; era''' as detailed in the historical breakdown below.

[[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]]

The Book of Daniel states: &quot;In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it&quot; (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''.

The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure.

High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. 

Using this synchronization, other significant milestones are mapped as follows:
* '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''.
* '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''.
* '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''.

High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year &quot;Second Temple Persian Era&quot; (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. 

The remainder of the diagram represents a 300-year &quot;Second Temple Hellenistic Era,&quot; which concludes in '''Creation Year 4400''' (30 BC).

=== Competing Temples ===
There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year &quot;Second Temple Persian Era&quot; (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework.

According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple:

&lt;blockquote&gt;&quot;But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel&quot; (Ezra 4:3).&lt;/blockquote&gt;

After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population.

[[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]]

This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC.

= The Rise of Zadok =
The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years:

* '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation.
* '''The second cluster''' spans years '''3,000 to 4,000''' after Creation.
* '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation.

The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section.  Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness.  To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event.

[[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]]

The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000.

= Hellenized Jews =
Hellenized Jews were
ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint.
= Start TBD =

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! rowspan = &quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;1&quot; rowspan = &quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962 &lt;br/&gt; &lt;small&gt;(847)&lt;/small&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | — &lt;br/&gt; &lt;small&gt;(847)&lt;/small&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962 &lt;br/&gt; &lt;small&gt;(1196)&lt;/small&gt;
| 847 &lt;br/&gt; &lt;small&gt;(847)&lt;/small&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962 &lt;br/&gt; &lt;small&gt;(1302)&lt;/small&gt;
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962 &lt;br/&gt; &lt;small&gt;(1282)&lt;/small&gt;
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | — &lt;br/&gt; &lt;small&gt;(1282)&lt;/small&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | — &lt;br/&gt; &lt;small&gt;(1302)&lt;/small&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | — &lt;br/&gt; &lt;small&gt;(1304)&lt;/small&gt;

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;10&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969
| 720
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 777
| 653
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 707
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 723
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 753

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;6&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600
| rowspan=&quot;9&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438
| 538
| 535

|}

= End TBD =

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that could result in patriarchs surviving beyond the date of the Flood.
* &lt;span style=&quot;color:#333333;&quot;&gt;'''Blank Cells'''&lt;/span&gt; indicate where primary sources do not provide specific lifespan or death data.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;&quot;
|+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son)

|-
! rowspan=&quot;2&quot; colspan=&quot;1&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Adam
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 130
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 230

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Seth
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 105
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 205

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 90
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 190

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 70
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 170

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 66
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | 65
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 165

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 61
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 162
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 62
| colspan=&quot;6&quot; style=&quot;background-color:#f9f9f9;&quot; | 162

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 65
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 165

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 65
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 187
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 67
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 167 / 187
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 167
| colspan=&quot;2&quot; style=&quot;background-color:#f9f9f9;&quot; | 187

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 55
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 182
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 53
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 182 / 188
| colspan=&quot;5&quot; style=&quot;background-color:#f9f9f9;&quot; | 188

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;9&quot; style=&quot;background-color:#e8e8e8;&quot; | 500 .. 502

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot; style=&quot;text-align:left; color:black;&quot; | Pre-Flood TOTAL
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 1556
| colspan=&quot;1&quot; | 1209
| colspan=&quot;3&quot; | Varied
| colspan=&quot;1&quot; | 2142
| colspan=&quot;1&quot; | 2162
| colspan=&quot;1&quot; | 2164
|}

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;&quot;

|+ Comparison of Post-Flood Chronological Traditions (Age at birth of son)
|-
! colspan=&quot;1&quot; rowspan=&quot;2&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot;  style=&quot;text-align:left; color:black;&quot; | Pre-Flood
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 1556
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 2164
| colspan=&quot;1&quot; | 2162
| colspan=&quot;1&quot; | 2142
| colspan=&quot;3&quot; | Varied

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 100
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 112

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Arphaxad
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 66
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 35
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 135

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Cainan II
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 57
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 130
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 130
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 71
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Eber
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 64
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 34
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 134

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 61
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 59
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 32
| colspan=&quot;5&quot; style=&quot;background-color:#e8e8e8;&quot; | 132
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 135
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Serug	
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 57
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 130
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 132

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 62
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 29
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 79
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 75
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 79 / 179
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 79
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 120

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;9&quot; style=&quot;background-color:#e8e8e8;&quot; | 70

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Abram
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 78
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 75

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Canaan
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 218
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 215

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Egypt
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 238
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 430
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 215
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 430
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 215
|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Sinai +/-
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 40
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | -
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 46
| colspan=&quot;4&quot; style=&quot;background-color:#e8e8e8;&quot; | 40

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot; style=&quot;text-align:left; color:black;&quot; | GRAND TOTAL
| colspan=&quot;1&quot; | 2450
| colspan=&quot;1&quot; | 2666
| colspan=&quot;1&quot; | 2800
| colspan=&quot;1&quot; | 3885
| colspan=&quot;1&quot; | 3754
| colspan=&quot;1&quot; | 3938
| colspan=&quot;3&quot; | Varied
|}

== The Septuagint Chronology ==

While the chronologies of the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' are anchored in Levant-based agricultural cycles and the symbolic interplay of the numbers 40 and 49, the Septuagint (LXX) appears to have been structured around a different set of priorities. Specifically, the LXX's chronological framework seems designed to resolve a significant textual difficulty: the mathematical anomaly of patriarchs potentially outliving the Flood. In the 2017 article, ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', author Paul D. makes the following statement regarding the Septuagint:

&lt;blockquote&gt;“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”&lt;/blockquote&gt;

While Paul D.’s &quot;Whoops Theory&quot; suggests the LXX editor intended to &quot;fix&quot; the timeline but failed in the case of Methuselah, this interpretation potentially overlooks the systemic nature of the changes. If an editor is methodical enough to systematically alter multiple generations by exactly one hundred years, a single &quot;failure&quot; to fix Methuselah could suggest the avoidance of a post-Flood death was not the primary objective.

Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': 

&lt;blockquote&gt;&quot;Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years.&quot;&lt;/blockquote&gt; 

This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development.

=== Demetrius the Chronographer ===
Demetrius the Chronographer, writing as early as the late 3rd century BC (c. 221 BC), represents the earliest known witness to biblical chronological calculations. While only fragments of his work remain, they are significant; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. This presumably places the birth of Shem at 2,164 years—exactly one hundred years before the Flood—aligning his data with the &quot;Long Chronology&quot; of the Septuagint.

In the comment section of the original article, in response to evidence regarding this longer tradition (provided by commenter Roger Quill), Paul D. reaffirms his &quot;Whoops Theory&quot; by challenging the validity of various witnesses to the 187-year begettal age of Methuselah. In this view, Codex Alexandrinus is seen as the lone legitimate witness, while others are discounted: 

* '''Josephus:''' Characterized as dependent on the Masoretic tradition.
* '''Pseudo-Philo:''' Dismissed due to textual corruption (&quot;a real mess&quot;).
* '''Julius Africanus:''' Questioned because his records survive only through the later intermediary, Syncellus.
* '''Demetrius:''' Rejected as a witness because his chronology contains an additional 22 years (rather than the typical 20-year variance) whose precise placement remains unknown.

The claim that Julius Africanus is invalidated due to his survival through an intermediary, or that Demetrius is disqualified by a 22-year variance, is arguably overstated. A plausible explanation for the discrepancy in Demetrius's chronology is the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can easily account for such variances without necessitating the rejection of the witnesses.

=== The Correlations ===
An interesting piece of corroborating evidence exists in the previously mentioned 1864 publication by Rev. John Mills, ''Three Months' Residence at Nablus'', where High Priest Amram records his own chronological dates based on the Samaritan Pentateuch. Priest Amram lists the Flood date as 1307 years after creation, but then lists the birth of Arphaxad as 1309 years—exactly two years after the Flood—which presumably places Shem's birth in year 502 of Noah's life (though Shem's actual birth date in the text is obscured by a typo).

The internal tension in Priest Amram's calculations likely reflects the same two-year variance seen between Demetrius and Africanus. Priest Amram lists the birth years of Shelah, Eber, and Peleg as 1444, 1574, and 1708, respectively. Africanus lists those same birth years as 2397, 2527, and 2661. In each case, the Priest Amram figure differs from the Africanus value by exactly 953 years. While the chronology of Africanus may reach us through an intermediary, as Paul D. notes, the values provided by both Demetrius and Africanus are precisely what one would anticipate to resolve the &quot;Universal Flood&quot; problem.


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      <text bytes="87579" sha1="rlti10ztit3lrou2dvmz41grabocpy0" xml:space="preserve">{{Original research}}
This page evaluates and extends the mathematical insights presented in the 2017 article, ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'' by Paul D. While the original article provides a compelling foundation, this analysis identifies areas where the underlying data and mathematical evidence are more robust than initially presented. The following sections aim to clarify these findings and offer a more precise structural framework.

== Summary of Main Arguments ==
The ages of the patriarchs in Genesis are not intended as historical records, but as a complex symbolic mathematical structure designed by ancient authors. Key points include:

* '''Artificial Mathematical Design:''' Patriarchal ages and event years are based on symbolic or &quot;perfect&quot; numbers (such as 7, 49, and 60) rather than biological or historical reality.
* '''Alignment with Sacred Cycles:''' The chronologies are designed to align significant events—such as the Exodus and the dedication of Solomon’s Temple—with specific &quot;years of the world&quot; (''Anno Mundi''), synchronizing human history with a divine calendar.
* '''The Universal Flood as a Later Insertion:''' Evidence suggests the universal scope of Noah's Flood was a later addition to a patriarchal foundation story. This insertion disrupted the original timelines, forcing recalibrations in the Masoretic Text (MT), Samaritan Pentateuch (SP), and Septuagint (LXX) to avoid chronological contradictions.
* '''Chronological Overlaps:''' In the original numerical framework (prior to recalibration for a universal flood), the mathematical structures resulted in overlaps where certain patriarchs, such as Methuselah, survived beyond the date of the Flood.

= Arichat Yamim =

Most of the patriarchs' lifespans in the Hebrew Bible far exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101).

This phenomenon is difficult to explain, as no known ancient number system features &quot;101&quot; as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle.
 
In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a &quot;perfect&quot; Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows:

*:&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
\frac{7\,\text{šar}}{2} &amp;= 3\,\text{šar}\,\,30\,\text{šūši}  \\ 
&amp;= \left(3 \times 60^2 \, \text{years} \right) + \left(30 \times 60^1 \,\text{years} \right) \\ 
&amp;= 10,800 \, \text{years} + 1,800 \, \text{years} \\
&amp;= 12,600 \, \text{years}
\end{aligned}
&lt;/math&gt;

This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60).

==== Prototype 1: Initial &quot;Mesopotamian&quot; Allocation ====

----

&lt;div style=&quot;background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;&quot;&gt;
The initial &quot;PT1&quot; framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''):

* '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49).
* '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''.
* '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920).
&lt;/div&gt;

----

==== Prototype 2: Refined &quot;Jubilee&quot; Allocation ====

----

&lt;div style=&quot;background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;&quot;&gt;
Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the &quot;Remainder&quot; to each of the two primary groups. This resulted in the &quot;PT2&quot; figures as follows:

* '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees).
* '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees).
* '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949).
&lt;/div&gt;

----

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that result in a patriarch surviving beyond the date of the Flood.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e0f2f1; border-bottom:2px solid #009688;&quot; | PROTOTYPE 1&lt;br/&gt;(PT1)
! colspan=&quot;3&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PROTOTYPE 2&lt;br/&gt;(PT2)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;82 šūši&lt;br/&gt;(4920)&lt;/div&gt;
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;45 šūši&lt;br/&gt;(2700)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;4949&lt;/div&gt;
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2727&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 912

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 905

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 910

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;37 šūši&lt;br/&gt;(2220)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2222&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 895

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 6 (360)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot;  | Methuselah
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;46 šūši&lt;br/&gt;(2760)&lt;/div&gt;
| rowspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;32 šūši&lt;br/&gt;(1920)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2702&lt;/div&gt;
| rowspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1919&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 14 (880)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 14 (840)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam
| rowspan=&quot;18&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;82 šūši&lt;br/&gt;(4920)&lt;/div&gt;
| rowspan=&quot;5&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;40 šūši&lt;br/&gt;(2400)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 16 (960)
| rowspan=&quot;18&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;4949&lt;/div&gt;
| rowspan=&quot;5&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2401&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 930

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 10 (600)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 7 (420)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Cainan (II)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 7 (420)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 433

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Eber
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;25 šūši&lt;br/&gt;(1500)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 8 (480)
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1525&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 464

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 4 (240)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 4 (240)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Serug
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 230

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 148

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Abraham
| rowspan=&quot;7&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;17 šūši&lt;br/&gt;(1020)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| rowspan=&quot;7&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1023&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 175

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Isaac
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jacob
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 147

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Levi
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kohath
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Amram
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 131

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Moses
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 120

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! style=&quot;text-align:left; color:black;&quot; | LIFESPAN&lt;br/&gt;DURATION&lt;br/&gt;SUM
| colspan=&quot;6&quot; | 210 šūši&lt;br/&gt;(12,600 years)
|}

== PT2 as the Base Model for Patriarchal Chronologies ==
The &quot;PT2&quot; chronology serves as the foundational model from which subsequent patriarchal lifespans in various textual traditions were derived. Evidence for this remains visible across nearly all biblical records, as they consistently preserve the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1).

* '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost.
* '''The Masoretic Text (MT):''' This tradition shifted 6 years from the &quot;Remainder&quot; to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block.
* '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši'''''.
* '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence.

The use of rounded Mesopotamian figures in the Armenian Eusebius Chronology suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the Septuagint's divergence indicates a later development—likely in Alexandria—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;

|+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum)
|-
! rowspan=&quot;2&quot; | Patriarch Groups
! rowspan=&quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;2&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;3&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! style=&quot;background-color:#e3f2fd;&quot; | Masoretic&lt;br/&gt;(MT)
! style=&quot;background-color:#e3f2fd;&quot; | Samaritan&lt;br/&gt;(SP)
! style=&quot;background-color:#fff3e0;&quot; | Josephus&lt;br/&gt;(94 AD)
! style=&quot;background-color:#fff3e0;&quot; | Eusebius&lt;br/&gt;(325 AD)
! style=&quot;background-color:#fff3e0;&quot; | Septuagint&lt;br/&gt;(LXX)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth to Enoch&lt;br/&gt;&lt;small&gt;(6 Patriarchs)&lt;/small&gt;
| colspan=&quot;2&quot; style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
| style=&quot;background-color:#f9f9f9;&quot; | 4834&lt;br/&gt;&lt;small&gt;(4949 - 115)&lt;/small&gt;
| colspan=&quot;3&quot; style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
|-

| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah, Lamech, Noah&lt;br/&gt;&lt;small&gt;(The Remainder)&lt;/small&gt;
| style=&quot;font-weight:bold; background-color:#f9f9f9;&quot; | 2702
| style=&quot;background-color:#f9f9f9;&quot; | 2696&lt;br/&gt;&lt;small&gt;(2702 - 6)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2323&lt;br/&gt;&lt;small&gt;(2702 - 379)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2626&lt;br/&gt;&lt;small&gt;(2702 - 76)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2642&lt;br/&gt;&lt;small&gt;(2702 - 60)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2672&lt;br/&gt;&lt;small&gt;(2702 - 30)&lt;/small&gt;
|-

| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam &amp; Shem to Moses&lt;br/&gt;&lt;small&gt;(The &quot;Second Half&quot;)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
| style=&quot;background-color:#f9f9f9;&quot; | 4955&lt;br/&gt;&lt;small&gt;(4949 + 6)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 4834&lt;br/&gt;&lt;small&gt;(4949 - 115)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | —
| style=&quot;background-color:#f9f9f9;&quot; | 5609&lt;br/&gt;&lt;small&gt;(4949 + 660)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 5930&lt;br/&gt;&lt;small&gt;(4949 + 981)&lt;/small&gt;

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:14px;&quot;
! LIFESPAN DURATION SUM
| colspan=&quot;2&quot; | 12,600
| 11,991
| —
| 13,200
| 13,551
|}
&lt;small&gt;* '''Dash (—)''' indicates where primary sources do not provide complete death data.&lt;/small&gt;

== Comparative Chronology Tables ==

The following table reconstructs lifespan values across multiple chronological traditions. While most values are derived directly from the primary source texts listed in the header, the '''Armenian Eusebius''' chronology does not explicitly record the lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that result in a patriarch surviving beyond the date of the Flood.
* &lt;span style=&quot;color:#333333;&quot;&gt;'''Blank Cells'''&lt;/span&gt; indicate where primary sources do not provide specific lifespan or death data.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! rowspan = &quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;1&quot; rowspan = &quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;2&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;3&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 912

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 905

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 910

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 895

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962
| 847
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969
| 720
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;6&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 777
| 653
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 707
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 723
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 753

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 930

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600
| rowspan=&quot;9&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438
| 538
| 535

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Cainan (II)
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —
| —
| 460

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 433
| 536
| 460

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Eber
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 464
| 404
| 567
| colspan=&quot;2&quot; | 404

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239
| colspan=&quot;2&quot; | 339

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239
| 342
| 339

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Serug
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 230
| colspan=&quot;2&quot; | 330

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 148
| 198
| 304

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205
| 145
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Abraham
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 175

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Isaac
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180
| 185
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jacob
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 147

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Levi
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137
| rowspan=&quot;3&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kohath
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Amram
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 131
| 137
| 136
| colspan=&quot;2&quot; | 132

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Moses
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 120

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! style=&quot;text-align:left; color:black;&quot; | LIFESPAN&lt;br/&gt;DURATION&lt;br/&gt;SUM
| colspan=&quot;2&quot; | 12,600
| colspan=&quot;1&quot; | 11,991
| —
| colspan=&quot;1&quot; | 13,200
| colspan=&quot;1&quot; | 13,551
|}

=== Samaritan Adjustments ===
Four of the pre-flood patriarchs—Jared, Methuselah, Lamech, and Noah—are credited with exceptionally long lives late in the chronology, which creates a potential overlap where these four patriarchs appear to survive Noah's flood. As shown in the above table, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. Other traditions do not employ this specific reduction, but all must address the issue of flood survival, as explained in later sections.

The required reduction in Jared's lifespan was '''115 years'''. Interestingly, as noted in the previous section, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the &quot;Group 1&quot; and &quot;Group 2&quot; patriarchs.

Specifically, this balance was achieved through the following adjustments:
* '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each).
* '''Amram's''' lifespan was increased by five years.

This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing.

=== Masoretic Adjustments ===

In the 2017 article, &quot;[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs],&quot; Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition:

&lt;blockquote&gt;&quot;The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)&quot;&lt;/blockquote&gt;

While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late &quot;tweak&quot; in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges:

&lt;blockquote&gt;&quot;Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above.&quot;&lt;/blockquote&gt;

==== ''Lectio Difficilior Potior'' ====
The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the &quot;harder reading is stronger&quot;) suggests that scribes tend to simplify or &quot;smooth&quot; texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life.

In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges:

* '''Year 500 (of Noah):''' Shem is born.
* '''Year 600 (of Noah):''' The Flood occurs.
* '''Year 700 (of Noah):''' Lamech dies.

This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a &quot;compressed chronology&quot; (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (53, 653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''183 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate &quot;balancing&quot; of total chronological years.

=== Armenian Eusebius Adjustments ===
Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 220 ''šūši'' (or 10 ''šūši'' more than the Masoretic Text). Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system.

Specifically, the following adjustments appear to have occurred for Group 2 patriarchs:
* '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years.
* '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years.
* '''Nahor''' had his lifespan increased by 50 years.
* '''Amram''' had his lifespan increased by 1 year.

The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''.

= It All Started With Grain =

[[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]]

The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the [https://www.biblicalarchaeology.org/daily/news/ancient-bread-jordan/ Black Desert of Jordan]. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops.

The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the &quot;firstfruits of your harvest&quot; (referring to barley) before the Lord:

&lt;blockquote&gt;&quot;then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord&quot;&lt;/blockquote&gt;

To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues:

&lt;blockquote&gt;&quot;And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord.&quot;&lt;/blockquote&gt;

[[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]]

These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the &quot;better things&quot; and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.

This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: 

&lt;blockquote&gt;&quot;And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye &lt;small&gt;(likely emmer wheat or spelt)&lt;/small&gt; were not smitten: for they were not grown up.&quot;&lt;/blockquote&gt;

This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. 

The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest).

=== The Mathematical Structure of Jubilees ===

The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of &quot;weeks&quot;:

* '''Week of Years:''' 7&lt;sup&gt;1&lt;/sup&gt; = 7 years
* '''Jubilee of Years:''' 7&lt;sup&gt;2&lt;/sup&gt; = 49 years
* '''Week of Jubilees:''' 7&lt;sup&gt;3&lt;/sup&gt; = 343 years
* '''Jubilee of Jubilees:''' 7&lt;sup&gt;4&lt;/sup&gt; = 2,401 years

The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land.

[[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]]

The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested &quot;Jubilee of Jubilees&quot; (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle.

* The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year.
* The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years.
* The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid.
* The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs.

== The Birth of Shem (A Digression) ==
Were Noah's sons born when Noah was 500 or 502?

==== The 502 Calculation ====
While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that &quot;Noah was 500 years old, and Noah begat Shem, Ham, and Japheth,&quot; this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: 
# Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). 
# Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10])

'''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples.

==== Competing Narratives ====
According to the Book of Jubilees 4:33, Shem was the oldest son, born in Noah's 500&lt;sup&gt;th&lt;/sup&gt; year, followed by Ham in the 502&lt;sup&gt;nd&lt;/sup&gt; year, and Japheth in the 505&lt;sup&gt;th&lt;/sup&gt;. This seems to be in contradiction with the Genesis narrative which places Shem as the second son in year 502.

==== ''Lectio Difficilior Potior'' ====

The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the harder reading is stronger) suggests that scribes tend to simplify or &quot;smooth&quot; texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life.

In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28%7Cversion=SPE Lamech’s 53rd year]. If we combine that with the 500-year figure for Noah's age at the birth of his sons and the [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB Septuagint figure of 753] for Lamech's death, a suspiciously neat pattern emerges:

* '''Year 500 (of Noah):''' Shem is born.
* '''Year 600 (of Noah):''' The Flood occurs.
* '''Year 700 (of Noah):''' Lamech dies.

This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a &quot;compressed chronology&quot; (500–600–700) is a hallmark of editorial smoothing—likely values adjusted during the introduction of the universal flood narrative to create a more &quot;perfect&quot; structure.

Applying ''Lectio Difficilior'', we can reasonably set aside the figures 53, 500, and 753 as being &quot;too structured to be true,&quot; shifting our focus to less symmetrical values such as '''502''' for Shem's birth.

== The Mathematical relationship between 40 and 49 ==

As noted previously, the ''Jubilees'' author envisions early Hebraic history within a &quot;Jubilee of Jubilees&quot; fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows:

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 (7-3)(7+3) &amp;=  7^2 - 3^2 \\
 &amp;= 49 - 9 \\
 &amp;= 40
\end{aligned}
&lt;/math&gt;

The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40.

[[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] 

Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years):

[[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]]

&lt;div style=&quot;line-height: 1.5;&quot;&gt;
* '''Book of Jubilees (Adam to Canaan)'''
** Pre-Flood Patriarch years:
*:&lt;math display=&quot;block&quot;&gt;\frac{7^4 - 1}{2} + 3^2 = 1200 + 9 = 1209&lt;/math&gt;
** Post-Flood Patriarch years:
*:&lt;math display=&quot;block&quot;&gt;\frac{7^4 + 1}{2} + (7^2 - 3^2) = 1201 + 40 = 1241&lt;/math&gt;
** Total Years:
*:&lt;math display=&quot;block&quot;&gt;7^4 + 7^2 = 2401 + 49 = 2450&lt;/math&gt;
&lt;/div&gt;

== The Samaritan Pentateuch Connection ==
Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition.

[[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]]

=== Determining Chronological Priority ===
A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem is born in year 1207 (reconstructed as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 &quot;Jubilee of Jubilees.&quot;

This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's &quot;pivot&quot; position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment.

=== The 350-Year Symmetrical Extension ===
Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a &quot;week of Jubilees&quot; (343 years) plus a &quot;week of years&quot; (7 years).

&lt;div style=&quot;line-height: 1.5;&quot;&gt;
* '''Book of Jubilees (Adam to Canaan):'''
:&lt;math display=&quot;block&quot;&gt;7^4 + 7^2 = 2401 + 49 = 2450 \text{ years}&lt;/math&gt;

* '''Samaritan Pentateuch (Adam to Conquest):'''
:&lt;math display=&quot;block&quot;&gt;\begin{aligned} \text{(Base 49): } &amp; 7^4 + 7^3 + 7^2 + 7^1 = 2401 + 343 + 49 + 7 = 2800 \\ \text{(Base 40): } &amp; 70 \times 40 = 2800 \end{aligned}&lt;/math&gt;
&lt;/div&gt;

=== Mathematical Structure of the Early Samaritan Chronology ===
To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each):

* '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''.
* '''The second cluster''' represents a second millennium.
* '''The final set''' contains 20 blocks (4x5), representing '''800 years'''.

Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record.


[[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]]

== Living in the Rough ==

[[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]]

As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a &quot;generation&quot;) are less clear, but the number is consistently associated with &quot;living in the rough&quot;—periods of trial, transition, or exile away from the comforts of civilization. 

Examples of this pattern include:
* '''Noah''' lived within the ark for 40 days while the rain fell; 
* '''Israel''' wandered in the wilderness for 40 years; 
* '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. 

Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era.

Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the &quot;civilized&quot; city.

In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means &quot;supplanter&quot;—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a &quot;skillful hunter&quot; and a &quot;man of the field,&quot; while Jacob is &quot;dwelling in tents&quot; and cooking &quot;lentil stew.&quot;

The text draws a clear parallel between these two sets of brothers:
* In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. 
* In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this &quot;clever&quot; intervention, Jacob successfully secures the favor that Cain could not.

Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. 

This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the &quot;rough&quot; of the wilderness.

Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three &quot;generations&quot; (3 x 40).

The relationship between these two &quot;three-fold&quot; lifespans can be expressed by the same nine-year offset identified in the Shem chronology:

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 49 - 9 &amp;= 40 \\
 3(49 - 9) &amp;= 3(40) \\
 147 - 27 &amp;= 120
\end{aligned}
&lt;/math&gt;

[[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] 

Samaritan tradition maintains a unique cultural link to the &quot;pastoralist&quot; ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the &quot;grain-based&quot; agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to &quot;wilderness living,&quot; the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit.

=== A narrative foil for Joshua ===
As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a &quot;foil&quot; for Jacob: Moses lived exactly three &quot;generations&quot; (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization.

This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding &quot;foil&quot; to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam?

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 49 - 9 &amp;= 40 \\
 70(49 - 9) &amp;= 70(40) \\
 3,430 - 630 &amp;= 2,800
\end{aligned}
&lt;/math&gt;

Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific &quot;foil&quot; to Joshua existed in the original architect's mind.

The Samaritans do maintain a continuous, running calendar. However, this system uses a &quot;Conquest Era&quot; epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. For instance, at that time, the [[w:Hyksos|Hyksos]] were only beginning to establish control over Lower Egypt. Furthermore, the [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC.

There is, however, one more possibility to consider: what if the &quot;irreconcilable&quot; nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent &quot;foil&quot; event occurred exactly 3,430 years after Creation? 

As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare &quot;smoking gun&quot; for the artificial design of the chronology.

=== A Mystery Solved ===
In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest.

The significant milestones in this timeline include:
* '''Year 1''': &quot;This year the world and Adam were created.&quot; 
* '''Year 2801''': &quot;The first year of Israel's rule in the land of Canaan.&quot; 
* '''Year 3423''': &quot;The commencement of the kingdom of Solomon.&quot;

According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological &quot;anchor&quot; was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself.

In Creation Year 2800—marking exactly 70 &quot;generations&quot; of 40 years—God entered Canaan in a tent, embodying the &quot;living rough&quot; wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 &quot;Jubilees&quot; of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70&lt;sup&gt;th&lt;/sup&gt; generation to the 70&lt;sup&gt;th&lt;/sup&gt; Jubilee:

:&lt;math&gt;70 \times 40 + (70 \times 9) = 70 \times 49&lt;/math&gt;

=== Mathematical Structure of the Later Samaritan Chronology ===
The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years:

* '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation.
* '''The second cluster''' spans years '''3,000 to 4,000''' after Creation.
* '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation.

The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year &quot;Tabernacle&quot; era''', which is composed of:
* The 40 years of wandering in the wilderness;
* The 6 years of the initial conquest;
* The 630 years between the conquest and the completion of Solomon’s Temple.

Following the '''676-year &quot;Tabernacle&quot; era''' is a '''400-year &quot;First Temple&quot; era''' and a '''70-year &quot;Exile&quot; era''' as detailed in the historical breakdown below.

[[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]]

The Book of Daniel states: &quot;In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it&quot; (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''.

The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure.

High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. 

Using this synchronization, other significant milestones are mapped as follows:
* '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''.
* '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''.
* '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''.

High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year &quot;Second Temple Persian Era&quot; (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. 

The remainder of the diagram represents a 300-year &quot;Second Temple Hellenistic Era,&quot; which concludes in '''Creation Year 4400''' (30 BC).

=== Competing Temples ===
There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year &quot;Second Temple Persian Era&quot; (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework.

According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple:

&lt;blockquote&gt;&quot;But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel&quot; (Ezra 4:3).&lt;/blockquote&gt;

After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population.

[[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]]

This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC.

= The Rise of Zadok =
The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years:

* '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation.
* '''The second cluster''' spans years '''3,000 to 4,000''' after Creation.
* '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation.

The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section.  Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness.  To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event.

[[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]]

The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000.

= Hellenized Jews =
Hellenized Jews were
ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint.
= Start TBD =

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! rowspan = &quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;1&quot; rowspan = &quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962 &lt;br/&gt; &lt;small&gt;(847)&lt;/small&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | — &lt;br/&gt; &lt;small&gt;(847)&lt;/small&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962 &lt;br/&gt; &lt;small&gt;(1196)&lt;/small&gt;
| 847 &lt;br/&gt; &lt;small&gt;(847)&lt;/small&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962 &lt;br/&gt; &lt;small&gt;(1302)&lt;/small&gt;
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962 &lt;br/&gt; &lt;small&gt;(1282)&lt;/small&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | — &lt;br/&gt; &lt;small&gt;(1282)&lt;/small&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | — &lt;br/&gt; &lt;small&gt;(1302)&lt;/small&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | — &lt;br/&gt; &lt;small&gt;(1304)&lt;/small&gt;

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;10&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969
| 720
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 777
| 653
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 707
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 723
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 753

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;6&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600
| rowspan=&quot;9&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438
| 538
| 535

|}

= End TBD =

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that could result in patriarchs surviving beyond the date of the Flood.
* &lt;span style=&quot;color:#333333;&quot;&gt;'''Blank Cells'''&lt;/span&gt; indicate where primary sources do not provide specific lifespan or death data.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;&quot;
|+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son)

|-
! rowspan=&quot;2&quot; colspan=&quot;1&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Adam
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 130
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 230

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Seth
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 105
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 205

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 90
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 190

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 70
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 170

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 66
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | 65
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 165

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 61
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 162
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 62
| colspan=&quot;6&quot; style=&quot;background-color:#f9f9f9;&quot; | 162

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 65
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 165

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 65
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 187
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 67
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 167 / 187
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 167
| colspan=&quot;2&quot; style=&quot;background-color:#f9f9f9;&quot; | 187

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 55
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 182
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 53
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 182 / 188
| colspan=&quot;5&quot; style=&quot;background-color:#f9f9f9;&quot; | 188

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;9&quot; style=&quot;background-color:#e8e8e8;&quot; | 500 .. 502

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot; style=&quot;text-align:left; color:black;&quot; | Pre-Flood TOTAL
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 1556
| colspan=&quot;1&quot; | 1209
| colspan=&quot;3&quot; | Varied
| colspan=&quot;1&quot; | 2142
| colspan=&quot;1&quot; | 2162
| colspan=&quot;1&quot; | 2164
|}

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;&quot;

|+ Comparison of Post-Flood Chronological Traditions (Age at birth of son)
|-
! colspan=&quot;1&quot; rowspan=&quot;2&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot;  style=&quot;text-align:left; color:black;&quot; | Pre-Flood
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 1556
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 2164
| colspan=&quot;1&quot; | 2162
| colspan=&quot;1&quot; | 2142
| colspan=&quot;3&quot; | Varied

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 100
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 112

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Arphaxad
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 66
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 35
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 135

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Cainan II
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 57
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 130
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 130
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 71
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Eber
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 64
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 34
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 134

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 61
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 59
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 32
| colspan=&quot;5&quot; style=&quot;background-color:#e8e8e8;&quot; | 132
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 135
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Serug	
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 57
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 130
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 132

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 62
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 29
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 79
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 75
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 79 / 179
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 79
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 120

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;9&quot; style=&quot;background-color:#e8e8e8;&quot; | 70

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Abram
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 78
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 75

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Canaan
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 218
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 215

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Egypt
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 238
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 430
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 215
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 430
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 215
|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Sinai +/-
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 40
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | -
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 46
| colspan=&quot;4&quot; style=&quot;background-color:#e8e8e8;&quot; | 40

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot; style=&quot;text-align:left; color:black;&quot; | GRAND TOTAL
| colspan=&quot;1&quot; | 2450
| colspan=&quot;1&quot; | 2666
| colspan=&quot;1&quot; | 2800
| colspan=&quot;1&quot; | 3885
| colspan=&quot;1&quot; | 3754
| colspan=&quot;1&quot; | 3938
| colspan=&quot;3&quot; | Varied
|}

== The Septuagint Chronology ==

While the chronologies of the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' are anchored in Levant-based agricultural cycles and the symbolic interplay of the numbers 40 and 49, the Septuagint (LXX) appears to have been structured around a different set of priorities. Specifically, the LXX's chronological framework seems designed to resolve a significant textual difficulty: the mathematical anomaly of patriarchs potentially outliving the Flood. In the 2017 article, ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', author Paul D. makes the following statement regarding the Septuagint:

&lt;blockquote&gt;“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”&lt;/blockquote&gt;

While Paul D.’s &quot;Whoops Theory&quot; suggests the LXX editor intended to &quot;fix&quot; the timeline but failed in the case of Methuselah, this interpretation potentially overlooks the systemic nature of the changes. If an editor is methodical enough to systematically alter multiple generations by exactly one hundred years, a single &quot;failure&quot; to fix Methuselah could suggest the avoidance of a post-Flood death was not the primary objective.

Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': 

&lt;blockquote&gt;&quot;Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years.&quot;&lt;/blockquote&gt; 

This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development.

=== Demetrius the Chronographer ===
Demetrius the Chronographer, writing as early as the late 3rd century BC (c. 221 BC), represents the earliest known witness to biblical chronological calculations. While only fragments of his work remain, they are significant; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. This presumably places the birth of Shem at 2,164 years—exactly one hundred years before the Flood—aligning his data with the &quot;Long Chronology&quot; of the Septuagint.

In the comment section of the original article, in response to evidence regarding this longer tradition (provided by commenter Roger Quill), Paul D. reaffirms his &quot;Whoops Theory&quot; by challenging the validity of various witnesses to the 187-year begettal age of Methuselah. In this view, Codex Alexandrinus is seen as the lone legitimate witness, while others are discounted: 

* '''Josephus:''' Characterized as dependent on the Masoretic tradition.
* '''Pseudo-Philo:''' Dismissed due to textual corruption (&quot;a real mess&quot;).
* '''Julius Africanus:''' Questioned because his records survive only through the later intermediary, Syncellus.
* '''Demetrius:''' Rejected as a witness because his chronology contains an additional 22 years (rather than the typical 20-year variance) whose precise placement remains unknown.

The claim that Julius Africanus is invalidated due to his survival through an intermediary, or that Demetrius is disqualified by a 22-year variance, is arguably overstated. A plausible explanation for the discrepancy in Demetrius's chronology is the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can easily account for such variances without necessitating the rejection of the witnesses.

=== The Correlations ===
An interesting piece of corroborating evidence exists in the previously mentioned 1864 publication by Rev. John Mills, ''Three Months' Residence at Nablus'', where High Priest Amram records his own chronological dates based on the Samaritan Pentateuch. Priest Amram lists the Flood date as 1307 years after creation, but then lists the birth of Arphaxad as 1309 years—exactly two years after the Flood—which presumably places Shem's birth in year 502 of Noah's life (though Shem's actual birth date in the text is obscured by a typo).

The internal tension in Priest Amram's calculations likely reflects the same two-year variance seen between Demetrius and Africanus. Priest Amram lists the birth years of Shelah, Eber, and Peleg as 1444, 1574, and 1708, respectively. Africanus lists those same birth years as 2397, 2527, and 2661. In each case, the Priest Amram figure differs from the Africanus value by exactly 953 years. While the chronology of Africanus may reach us through an intermediary, as Paul D. notes, the values provided by both Demetrius and Africanus are precisely what one would anticipate to resolve the &quot;Universal Flood&quot; problem.


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      <text bytes="86830" sha1="0zs2k9wopratcezue2sjx0u9lpome7e" xml:space="preserve">{{Original research}}
This page evaluates and extends the mathematical insights presented in the 2017 article, ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'' by Paul D. While the original article provides a compelling foundation, this analysis identifies areas where the underlying data and mathematical evidence are more robust than initially presented. The following sections aim to clarify these findings and offer a more precise structural framework.

== Summary of Main Arguments ==
The ages of the patriarchs in Genesis are not intended as historical records, but as a complex symbolic mathematical structure designed by ancient authors. Key points include:

* '''Artificial Mathematical Design:''' Patriarchal ages and event years are based on symbolic or &quot;perfect&quot; numbers (such as 7, 49, and 60) rather than biological or historical reality.
* '''Alignment with Sacred Cycles:''' The chronologies are designed to align significant events—such as the Exodus and the dedication of Solomon’s Temple—with specific &quot;years of the world&quot; (''Anno Mundi''), synchronizing human history with a divine calendar.
* '''The Universal Flood as a Later Insertion:''' Evidence suggests the universal scope of Noah's Flood was a later addition to a patriarchal foundation story. This insertion disrupted the original timelines, forcing recalibrations in the Masoretic Text (MT), Samaritan Pentateuch (SP), and Septuagint (LXX) to avoid chronological contradictions.
* '''Chronological Overlaps:''' In the original numerical framework (prior to recalibration for a universal flood), the mathematical structures resulted in overlaps where certain patriarchs, such as Methuselah, survived beyond the date of the Flood.

= Arichat Yamim =

Most of the patriarchs' lifespans in the Hebrew Bible far exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101).

This phenomenon is difficult to explain, as no known ancient number system features &quot;101&quot; as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle.
 
In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a &quot;perfect&quot; Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows:

*:&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
\frac{7\,\text{šar}}{2} &amp;= 3\,\text{šar}\,\,30\,\text{šūši}  \\ 
&amp;= \left(3 \times 60^2 \, \text{years} \right) + \left(30 \times 60^1 \,\text{years} \right) \\ 
&amp;= 10,800 \, \text{years} + 1,800 \, \text{years} \\
&amp;= 12,600 \, \text{years}
\end{aligned}
&lt;/math&gt;

This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60).

==== Prototype 1: Initial &quot;Mesopotamian&quot; Allocation ====

----

&lt;div style=&quot;background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;&quot;&gt;
The initial &quot;PT1&quot; framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''):

* '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49).
* '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''.
* '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920).
&lt;/div&gt;

----

==== Prototype 2: Refined &quot;Jubilee&quot; Allocation ====

----

&lt;div style=&quot;background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;&quot;&gt;
Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the &quot;Remainder&quot; to each of the two primary groups. This resulted in the &quot;PT2&quot; figures as follows:

* '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees).
* '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees).
* '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949).
&lt;/div&gt;

----

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that result in a patriarch surviving beyond the date of the Flood.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e0f2f1; border-bottom:2px solid #009688;&quot; | PROTOTYPE 1&lt;br/&gt;(PT1)
! colspan=&quot;3&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PROTOTYPE 2&lt;br/&gt;(PT2)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;82 šūši&lt;br/&gt;(4920)&lt;/div&gt;
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;45 šūši&lt;br/&gt;(2700)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;4949&lt;/div&gt;
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2727&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 912

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 905

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 910

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;37 šūši&lt;br/&gt;(2220)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2222&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 895

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 6 (360)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot;  | Methuselah
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;46 šūši&lt;br/&gt;(2760)&lt;/div&gt;
| rowspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;32 šūši&lt;br/&gt;(1920)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2702&lt;/div&gt;
| rowspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1919&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 14 (880)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 14 (840)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam
| rowspan=&quot;18&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;82 šūši&lt;br/&gt;(4920)&lt;/div&gt;
| rowspan=&quot;5&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;40 šūši&lt;br/&gt;(2400)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 16 (960)
| rowspan=&quot;18&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;4949&lt;/div&gt;
| rowspan=&quot;5&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2401&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 930

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 10 (600)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 7 (420)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Cainan (II)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 7 (420)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 433

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Eber
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;25 šūši&lt;br/&gt;(1500)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 8 (480)
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1525&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 464

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 4 (240)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 4 (240)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Serug
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 230

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 148

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Abraham
| rowspan=&quot;7&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;17 šūši&lt;br/&gt;(1020)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| rowspan=&quot;7&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1023&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 175

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Isaac
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jacob
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 147

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Levi
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kohath
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Amram
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 131

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Moses
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 120

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! style=&quot;text-align:left; color:black;&quot; | LIFESPAN&lt;br/&gt;DURATION&lt;br/&gt;SUM
| colspan=&quot;6&quot; | 210 šūši&lt;br/&gt;(12,600 years)
|}

== PT2 as the Base Model for Patriarchal Chronologies ==
The &quot;PT2&quot; chronology serves as the foundational model from which subsequent patriarchal lifespans in various textual traditions were derived. Evidence for this remains visible across nearly all biblical records, as they consistently preserve the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1).

* '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost.
* '''The Masoretic Text (MT):''' This tradition shifted 6 years from the &quot;Remainder&quot; to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block.
* '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši'''''.
* '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence.

The use of rounded Mesopotamian figures in the Armenian Eusebius Chronology suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the Septuagint's divergence indicates a later development—likely in Alexandria—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;

|+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum)
|-
! rowspan=&quot;2&quot; | Patriarch Groups
! rowspan=&quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;2&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;3&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! style=&quot;background-color:#e3f2fd;&quot; | Masoretic&lt;br/&gt;(MT)
! style=&quot;background-color:#e3f2fd;&quot; | Samaritan&lt;br/&gt;(SP)
! style=&quot;background-color:#fff3e0;&quot; | Josephus&lt;br/&gt;(94 AD)
! style=&quot;background-color:#fff3e0;&quot; | Eusebius&lt;br/&gt;(325 AD)
! style=&quot;background-color:#fff3e0;&quot; | Septuagint&lt;br/&gt;(LXX)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth to Enoch&lt;br/&gt;&lt;small&gt;(6 Patriarchs)&lt;/small&gt;
| colspan=&quot;2&quot; style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
| style=&quot;background-color:#f9f9f9;&quot; | 4834&lt;br/&gt;&lt;small&gt;(4949 - 115)&lt;/small&gt;
| colspan=&quot;3&quot; style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
|-

| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah, Lamech, Noah&lt;br/&gt;&lt;small&gt;(The Remainder)&lt;/small&gt;
| style=&quot;font-weight:bold; background-color:#f9f9f9;&quot; | 2702
| style=&quot;background-color:#f9f9f9;&quot; | 2696&lt;br/&gt;&lt;small&gt;(2702 - 6)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2323&lt;br/&gt;&lt;small&gt;(2702 - 379)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2626&lt;br/&gt;&lt;small&gt;(2702 - 76)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2642&lt;br/&gt;&lt;small&gt;(2702 - 60)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2672&lt;br/&gt;&lt;small&gt;(2702 - 30)&lt;/small&gt;
|-

| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam &amp; Shem to Moses&lt;br/&gt;&lt;small&gt;(The &quot;Second Half&quot;)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
| style=&quot;background-color:#f9f9f9;&quot; | 4955&lt;br/&gt;&lt;small&gt;(4949 + 6)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 4834&lt;br/&gt;&lt;small&gt;(4949 - 115)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | —
| style=&quot;background-color:#f9f9f9;&quot; | 5609&lt;br/&gt;&lt;small&gt;(4949 + 660)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 5930&lt;br/&gt;&lt;small&gt;(4949 + 981)&lt;/small&gt;

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:14px;&quot;
! LIFESPAN DURATION SUM
| colspan=&quot;2&quot; | 12,600
| 11,991
| —
| 13,200
| 13,551
|}
&lt;small&gt;* '''Dash (—)''' indicates where primary sources do not provide complete death data.&lt;/small&gt;

== Comparative Chronology Tables ==

The following table reconstructs lifespan values across multiple chronological traditions. While most values are derived directly from the primary source texts listed in the header, the '''Armenian Eusebius''' chronology does not explicitly record the lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that result in a patriarch surviving beyond the date of the Flood.
* &lt;span style=&quot;color:#333333;&quot;&gt;'''Blank Cells'''&lt;/span&gt; indicate where primary sources do not provide specific lifespan or death data.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! rowspan = &quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;1&quot; rowspan = &quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;2&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;3&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 912

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 905

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 910

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 895

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962
| 847
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969
| 720
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;6&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 777
| 653
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 707
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 723
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 753

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 930

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600
| rowspan=&quot;9&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438
| 538
| 535

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Cainan (II)
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —
| —
| 460

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 433
| 536
| 460

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Eber
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 464
| 404
| 567
| colspan=&quot;2&quot; | 404

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239
| colspan=&quot;2&quot; | 339

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239
| 342
| 339

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Serug
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 230
| colspan=&quot;2&quot; | 330

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 148
| 198
| 304

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205
| 145
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Abraham
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 175

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Isaac
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180
| 185
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jacob
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 147

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Levi
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137
| rowspan=&quot;3&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kohath
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Amram
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 131
| 137
| 136
| colspan=&quot;2&quot; | 132

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Moses
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 120

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! style=&quot;text-align:left; color:black;&quot; | LIFESPAN&lt;br/&gt;DURATION&lt;br/&gt;SUM
| colspan=&quot;2&quot; | 12,600
| colspan=&quot;1&quot; | 11,991
| —
| colspan=&quot;1&quot; | 13,200
| colspan=&quot;1&quot; | 13,551
|}

=== Samaritan Adjustments ===
Four of the pre-flood patriarchs—Jared, Methuselah, Lamech, and Noah—are credited with exceptionally long lives late in the chronology, which creates a potential overlap where these four patriarchs appear to survive Noah's flood. As shown in the above table, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. Other traditions do not employ this specific reduction, but all must address the issue of flood survival, as explained in later sections.

The required reduction in Jared's lifespan was '''115 years'''. Interestingly, as noted in the previous section, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the &quot;Group 1&quot; and &quot;Group 2&quot; patriarchs.

Specifically, this balance was achieved through the following adjustments:
* '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each).
* '''Amram's''' lifespan was increased by five years.

This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing.

=== Masoretic Adjustments ===

In the 2017 article, &quot;[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs],&quot; Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition:

&lt;blockquote&gt;&quot;The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)&quot;&lt;/blockquote&gt;

While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late &quot;tweak&quot; in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges:

&lt;blockquote&gt;&quot;Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above.&quot;&lt;/blockquote&gt;

==== ''Lectio Difficilior Potior'' ====
The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the &quot;harder reading is stronger&quot;) suggests that scribes tend to simplify or &quot;smooth&quot; texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life.

In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges:

* '''Year 500 (of Noah):''' Shem is born.
* '''Year 600 (of Noah):''' The Flood occurs.
* '''Year 700 (of Noah):''' Lamech dies.

This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a &quot;compressed chronology&quot; (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (53, 653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''183 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate &quot;balancing&quot; of total chronological years.

=== Armenian Eusebius Adjustments ===
Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 220 ''šūši'' (or 10 ''šūši'' more than the Masoretic Text). Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system.

Specifically, the following adjustments appear to have occurred for Group 2 patriarchs:
* '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years.
* '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years.
* '''Nahor''' had his lifespan increased by 50 years.
* '''Amram''' had his lifespan increased by 1 year.

The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''.

= It All Started With Grain =

[[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]]

The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the [https://www.biblicalarchaeology.org/daily/news/ancient-bread-jordan/ Black Desert of Jordan]. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops.

The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the &quot;firstfruits of your harvest&quot; (referring to barley) before the Lord:

&lt;blockquote&gt;&quot;then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord&quot;&lt;/blockquote&gt;

To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues:

&lt;blockquote&gt;&quot;And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord.&quot;&lt;/blockquote&gt;

[[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]]

These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the &quot;better things&quot; and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.

This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: 

&lt;blockquote&gt;&quot;And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye &lt;small&gt;(likely emmer wheat or spelt)&lt;/small&gt; were not smitten: for they were not grown up.&quot;&lt;/blockquote&gt;

This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. 

The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest).

=== The Mathematical Structure of Jubilees ===

The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of &quot;weeks&quot;:

* '''Week of Years:''' 7&lt;sup&gt;1&lt;/sup&gt; = 7 years
* '''Jubilee of Years:''' 7&lt;sup&gt;2&lt;/sup&gt; = 49 years
* '''Week of Jubilees:''' 7&lt;sup&gt;3&lt;/sup&gt; = 343 years
* '''Jubilee of Jubilees:''' 7&lt;sup&gt;4&lt;/sup&gt; = 2,401 years

The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land.

[[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]]

The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested &quot;Jubilee of Jubilees&quot; (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle.

* The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year.
* The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years.
* The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid.
* The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs.

== The Birth of Shem (A Digression) ==
Were Noah's sons born when Noah was 500 or 502?

==== The 502 Calculation ====
While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that &quot;Noah was 500 years old, and Noah begat Shem, Ham, and Japheth,&quot; this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: 
# Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). 
# Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10])

'''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples.

==== Competing Narratives ====
According to the Book of Jubilees 4:33, Shem was the oldest son, born in Noah's 500&lt;sup&gt;th&lt;/sup&gt; year, followed by Ham in the 502&lt;sup&gt;nd&lt;/sup&gt; year, and Japheth in the 505&lt;sup&gt;th&lt;/sup&gt;. This seems to be in contradiction with the Genesis narrative which places Shem as the second son in year 502.

==== ''Lectio Difficilior Potior'' ====

The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the harder reading is stronger) suggests that scribes tend to simplify or &quot;smooth&quot; texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life.

In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28%7Cversion=SPE Lamech’s 53rd year]. If we combine that with the 500-year figure for Noah's age at the birth of his sons and the [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB Septuagint figure of 753] for Lamech's death, a suspiciously neat pattern emerges:

* '''Year 500 (of Noah):''' Shem is born.
* '''Year 600 (of Noah):''' The Flood occurs.
* '''Year 700 (of Noah):''' Lamech dies.

This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a &quot;compressed chronology&quot; (500–600–700) is a hallmark of editorial smoothing—likely values adjusted during the introduction of the universal flood narrative to create a more &quot;perfect&quot; structure.

Applying ''Lectio Difficilior'', we can reasonably set aside the figures 53, 500, and 753 as being &quot;too structured to be true,&quot; shifting our focus to less symmetrical values such as '''502''' for Shem's birth.

== The Mathematical relationship between 40 and 49 ==

As noted previously, the ''Jubilees'' author envisions early Hebraic history within a &quot;Jubilee of Jubilees&quot; fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows:

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 (7-3)(7+3) &amp;=  7^2 - 3^2 \\
 &amp;= 49 - 9 \\
 &amp;= 40
\end{aligned}
&lt;/math&gt;

The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40.

[[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] 

Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years):

[[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]]

&lt;div style=&quot;line-height: 1.5;&quot;&gt;
* '''Book of Jubilees (Adam to Canaan)'''
** Pre-Flood Patriarch years:
*:&lt;math display=&quot;block&quot;&gt;\frac{7^4 - 1}{2} + 3^2 = 1200 + 9 = 1209&lt;/math&gt;
** Post-Flood Patriarch years:
*:&lt;math display=&quot;block&quot;&gt;\frac{7^4 + 1}{2} + (7^2 - 3^2) = 1201 + 40 = 1241&lt;/math&gt;
** Total Years:
*:&lt;math display=&quot;block&quot;&gt;7^4 + 7^2 = 2401 + 49 = 2450&lt;/math&gt;
&lt;/div&gt;

== The Samaritan Pentateuch Connection ==
Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition.

[[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]]

=== Determining Chronological Priority ===
A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem is born in year 1207 (reconstructed as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 &quot;Jubilee of Jubilees.&quot;

This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's &quot;pivot&quot; position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment.

=== The 350-Year Symmetrical Extension ===
Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a &quot;week of Jubilees&quot; (343 years) plus a &quot;week of years&quot; (7 years).

&lt;div style=&quot;line-height: 1.5;&quot;&gt;
* '''Book of Jubilees (Adam to Canaan):'''
:&lt;math display=&quot;block&quot;&gt;7^4 + 7^2 = 2401 + 49 = 2450 \text{ years}&lt;/math&gt;

* '''Samaritan Pentateuch (Adam to Conquest):'''
:&lt;math display=&quot;block&quot;&gt;\begin{aligned} \text{(Base 49): } &amp; 7^4 + 7^3 + 7^2 + 7^1 = 2401 + 343 + 49 + 7 = 2800 \\ \text{(Base 40): } &amp; 70 \times 40 = 2800 \end{aligned}&lt;/math&gt;
&lt;/div&gt;

=== Mathematical Structure of the Early Samaritan Chronology ===
To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each):

* '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''.
* '''The second cluster''' represents a second millennium.
* '''The final set''' contains 20 blocks (4x5), representing '''800 years'''.

Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record.


[[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]]

== Living in the Rough ==

[[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]]

As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a &quot;generation&quot;) are less clear, but the number is consistently associated with &quot;living in the rough&quot;—periods of trial, transition, or exile away from the comforts of civilization. 

Examples of this pattern include:
* '''Noah''' lived within the ark for 40 days while the rain fell; 
* '''Israel''' wandered in the wilderness for 40 years; 
* '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. 

Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era.

Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the &quot;civilized&quot; city.

In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means &quot;supplanter&quot;—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a &quot;skillful hunter&quot; and a &quot;man of the field,&quot; while Jacob is &quot;dwelling in tents&quot; and cooking &quot;lentil stew.&quot;

The text draws a clear parallel between these two sets of brothers:
* In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. 
* In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this &quot;clever&quot; intervention, Jacob successfully secures the favor that Cain could not.

Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. 

This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the &quot;rough&quot; of the wilderness.

Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three &quot;generations&quot; (3 x 40).

The relationship between these two &quot;three-fold&quot; lifespans can be expressed by the same nine-year offset identified in the Shem chronology:

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 49 - 9 &amp;= 40 \\
 3(49 - 9) &amp;= 3(40) \\
 147 - 27 &amp;= 120
\end{aligned}
&lt;/math&gt;

[[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] 

Samaritan tradition maintains a unique cultural link to the &quot;pastoralist&quot; ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the &quot;grain-based&quot; agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to &quot;wilderness living,&quot; the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit.

=== A narrative foil for Joshua ===
As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a &quot;foil&quot; for Jacob: Moses lived exactly three &quot;generations&quot; (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization.

This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding &quot;foil&quot; to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam?

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 49 - 9 &amp;= 40 \\
 70(49 - 9) &amp;= 70(40) \\
 3,430 - 630 &amp;= 2,800
\end{aligned}
&lt;/math&gt;

Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific &quot;foil&quot; to Joshua existed in the original architect's mind.

The Samaritans do maintain a continuous, running calendar. However, this system uses a &quot;Conquest Era&quot; epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. For instance, at that time, the [[w:Hyksos|Hyksos]] were only beginning to establish control over Lower Egypt. Furthermore, the [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC.

There is, however, one more possibility to consider: what if the &quot;irreconcilable&quot; nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent &quot;foil&quot; event occurred exactly 3,430 years after Creation? 

As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare &quot;smoking gun&quot; for the artificial design of the chronology.

=== A Mystery Solved ===
In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest.

The significant milestones in this timeline include:
* '''Year 1''': &quot;This year the world and Adam were created.&quot; 
* '''Year 2801''': &quot;The first year of Israel's rule in the land of Canaan.&quot; 
* '''Year 3423''': &quot;The commencement of the kingdom of Solomon.&quot;

According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological &quot;anchor&quot; was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself.

In Creation Year 2800—marking exactly 70 &quot;generations&quot; of 40 years—God entered Canaan in a tent, embodying the &quot;living rough&quot; wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 &quot;Jubilees&quot; of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70&lt;sup&gt;th&lt;/sup&gt; generation to the 70&lt;sup&gt;th&lt;/sup&gt; Jubilee:

:&lt;math&gt;70 \times 40 + (70 \times 9) = 70 \times 49&lt;/math&gt;

=== Mathematical Structure of the Later Samaritan Chronology ===
The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years:

* '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation.
* '''The second cluster''' spans years '''3,000 to 4,000''' after Creation.
* '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation.

The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year &quot;Tabernacle&quot; era''', which is composed of:
* The 40 years of wandering in the wilderness;
* The 6 years of the initial conquest;
* The 630 years between the conquest and the completion of Solomon’s Temple.

Following the '''676-year &quot;Tabernacle&quot; era''' is a '''400-year &quot;First Temple&quot; era''' and a '''70-year &quot;Exile&quot; era''' as detailed in the historical breakdown below.

[[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]]

The Book of Daniel states: &quot;In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it&quot; (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''.

The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure.

High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. 

Using this synchronization, other significant milestones are mapped as follows:
* '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''.
* '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''.
* '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''.

High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year &quot;Second Temple Persian Era&quot; (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. 

The remainder of the diagram represents a 300-year &quot;Second Temple Hellenistic Era,&quot; which concludes in '''Creation Year 4400''' (30 BC).

=== Competing Temples ===
There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year &quot;Second Temple Persian Era&quot; (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework.

According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple:

&lt;blockquote&gt;&quot;But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel&quot; (Ezra 4:3).&lt;/blockquote&gt;

After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population.

[[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]]

This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC.

= The Rise of Zadok =
The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years:

* '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation.
* '''The second cluster''' spans years '''3,000 to 4,000''' after Creation.
* '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation.

The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section.  Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness.  To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event.

[[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]]

The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000.

= Hellenized Jews =
Hellenized Jews were
ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint.
= Start TBD =

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! rowspan = &quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;1&quot; rowspan = &quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962 &lt;br/&gt; &lt;small&gt;(847)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(847)&lt;/small&gt;
| 962 &lt;br/&gt; &lt;small&gt;(1196)&lt;/small&gt;
| 847 &lt;br/&gt; &lt;small&gt;(847)&lt;/small&gt;
| 962 &lt;br/&gt; &lt;small&gt;(1302)&lt;/small&gt;
| 962 &lt;br/&gt; &lt;small&gt;(1282)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(1282)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(1302)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(1304)&lt;/small&gt;

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;10&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969
| 720
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 777
| 653
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 707
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 723
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 753

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;6&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600
| rowspan=&quot;9&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438
| 538
| 535

|}

= End TBD =

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that could result in patriarchs surviving beyond the date of the Flood.
* &lt;span style=&quot;color:#333333;&quot;&gt;'''Blank Cells'''&lt;/span&gt; indicate where primary sources do not provide specific lifespan or death data.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;&quot;
|+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son)

|-
! rowspan=&quot;2&quot; colspan=&quot;1&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Adam
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 130
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 230

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Seth
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 105
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 205

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 90
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 190

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 70
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 170

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 66
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | 65
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 165

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 61
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 162
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 62
| colspan=&quot;6&quot; style=&quot;background-color:#f9f9f9;&quot; | 162

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 65
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 165

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 65
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 187
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 67
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 167 / 187
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 167
| colspan=&quot;2&quot; style=&quot;background-color:#f9f9f9;&quot; | 187

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 55
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 182
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 53
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 182 / 188
| colspan=&quot;5&quot; style=&quot;background-color:#f9f9f9;&quot; | 188

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;9&quot; style=&quot;background-color:#e8e8e8;&quot; | 500 .. 502

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot; style=&quot;text-align:left; color:black;&quot; | Pre-Flood TOTAL
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 1556
| colspan=&quot;1&quot; | 1209
| colspan=&quot;3&quot; | Varied
| colspan=&quot;1&quot; | 2142
| colspan=&quot;1&quot; | 2162
| colspan=&quot;1&quot; | 2164
|}

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;&quot;

|+ Comparison of Post-Flood Chronological Traditions (Age at birth of son)
|-
! colspan=&quot;1&quot; rowspan=&quot;2&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot;  style=&quot;text-align:left; color:black;&quot; | Pre-Flood
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 1556
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 2164
| colspan=&quot;1&quot; | 2162
| colspan=&quot;1&quot; | 2142
| colspan=&quot;3&quot; | Varied

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 100
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 112

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Arphaxad
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 66
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 35
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 135

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Cainan II
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 57
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 130
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 130
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 71
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Eber
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 64
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 34
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 134

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 61
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 59
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 32
| colspan=&quot;5&quot; style=&quot;background-color:#e8e8e8;&quot; | 132
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 135
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Serug	
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 57
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 130
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 132

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 62
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 29
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 79
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 75
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 79 / 179
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 79
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 120

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;9&quot; style=&quot;background-color:#e8e8e8;&quot; | 70

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Abram
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 78
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 75

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Canaan
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 218
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 215

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Egypt
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 238
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 430
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 215
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 430
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 215
|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Sinai +/-
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 40
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | -
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 46
| colspan=&quot;4&quot; style=&quot;background-color:#e8e8e8;&quot; | 40

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot; style=&quot;text-align:left; color:black;&quot; | GRAND TOTAL
| colspan=&quot;1&quot; | 2450
| colspan=&quot;1&quot; | 2666
| colspan=&quot;1&quot; | 2800
| colspan=&quot;1&quot; | 3885
| colspan=&quot;1&quot; | 3754
| colspan=&quot;1&quot; | 3938
| colspan=&quot;3&quot; | Varied
|}

== The Septuagint Chronology ==

While the chronologies of the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' are anchored in Levant-based agricultural cycles and the symbolic interplay of the numbers 40 and 49, the Septuagint (LXX) appears to have been structured around a different set of priorities. Specifically, the LXX's chronological framework seems designed to resolve a significant textual difficulty: the mathematical anomaly of patriarchs potentially outliving the Flood. In the 2017 article, ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', author Paul D. makes the following statement regarding the Septuagint:

&lt;blockquote&gt;“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”&lt;/blockquote&gt;

While Paul D.’s &quot;Whoops Theory&quot; suggests the LXX editor intended to &quot;fix&quot; the timeline but failed in the case of Methuselah, this interpretation potentially overlooks the systemic nature of the changes. If an editor is methodical enough to systematically alter multiple generations by exactly one hundred years, a single &quot;failure&quot; to fix Methuselah could suggest the avoidance of a post-Flood death was not the primary objective.

Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': 

&lt;blockquote&gt;&quot;Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years.&quot;&lt;/blockquote&gt; 

This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development.

=== Demetrius the Chronographer ===
Demetrius the Chronographer, writing as early as the late 3rd century BC (c. 221 BC), represents the earliest known witness to biblical chronological calculations. While only fragments of his work remain, they are significant; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. This presumably places the birth of Shem at 2,164 years—exactly one hundred years before the Flood—aligning his data with the &quot;Long Chronology&quot; of the Septuagint.

In the comment section of the original article, in response to evidence regarding this longer tradition (provided by commenter Roger Quill), Paul D. reaffirms his &quot;Whoops Theory&quot; by challenging the validity of various witnesses to the 187-year begettal age of Methuselah. In this view, Codex Alexandrinus is seen as the lone legitimate witness, while others are discounted: 

* '''Josephus:''' Characterized as dependent on the Masoretic tradition.
* '''Pseudo-Philo:''' Dismissed due to textual corruption (&quot;a real mess&quot;).
* '''Julius Africanus:''' Questioned because his records survive only through the later intermediary, Syncellus.
* '''Demetrius:''' Rejected as a witness because his chronology contains an additional 22 years (rather than the typical 20-year variance) whose precise placement remains unknown.

The claim that Julius Africanus is invalidated due to his survival through an intermediary, or that Demetrius is disqualified by a 22-year variance, is arguably overstated. A plausible explanation for the discrepancy in Demetrius's chronology is the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can easily account for such variances without necessitating the rejection of the witnesses.

=== The Correlations ===
An interesting piece of corroborating evidence exists in the previously mentioned 1864 publication by Rev. John Mills, ''Three Months' Residence at Nablus'', where High Priest Amram records his own chronological dates based on the Samaritan Pentateuch. Priest Amram lists the Flood date as 1307 years after creation, but then lists the birth of Arphaxad as 1309 years—exactly two years after the Flood—which presumably places Shem's birth in year 502 of Noah's life (though Shem's actual birth date in the text is obscured by a typo).

The internal tension in Priest Amram's calculations likely reflects the same two-year variance seen between Demetrius and Africanus. Priest Amram lists the birth years of Shelah, Eber, and Peleg as 1444, 1574, and 1708, respectively. Africanus lists those same birth years as 2397, 2527, and 2661. In each case, the Priest Amram figure differs from the Africanus value by exactly 953 years. While the chronology of Africanus may reach us through an intermediary, as Paul D. notes, the values provided by both Demetrius and Africanus are precisely what one would anticipate to resolve the &quot;Universal Flood&quot; problem.


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      <text bytes="86844" sha1="3ka9nkqijvp4ywf5u0b08lxdtx7157a" xml:space="preserve">{{Original research}}
This page evaluates and extends the mathematical insights presented in the 2017 article, ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'' by Paul D. While the original article provides a compelling foundation, this analysis identifies areas where the underlying data and mathematical evidence are more robust than initially presented. The following sections aim to clarify these findings and offer a more precise structural framework.

== Summary of Main Arguments ==
The ages of the patriarchs in Genesis are not intended as historical records, but as a complex symbolic mathematical structure designed by ancient authors. Key points include:

* '''Artificial Mathematical Design:''' Patriarchal ages and event years are based on symbolic or &quot;perfect&quot; numbers (such as 7, 49, and 60) rather than biological or historical reality.
* '''Alignment with Sacred Cycles:''' The chronologies are designed to align significant events—such as the Exodus and the dedication of Solomon’s Temple—with specific &quot;years of the world&quot; (''Anno Mundi''), synchronizing human history with a divine calendar.
* '''The Universal Flood as a Later Insertion:''' Evidence suggests the universal scope of Noah's Flood was a later addition to a patriarchal foundation story. This insertion disrupted the original timelines, forcing recalibrations in the Masoretic Text (MT), Samaritan Pentateuch (SP), and Septuagint (LXX) to avoid chronological contradictions.
* '''Chronological Overlaps:''' In the original numerical framework (prior to recalibration for a universal flood), the mathematical structures resulted in overlaps where certain patriarchs, such as Methuselah, survived beyond the date of the Flood.

= Arichat Yamim =

Most of the patriarchs' lifespans in the Hebrew Bible far exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101).

This phenomenon is difficult to explain, as no known ancient number system features &quot;101&quot; as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle.
 
In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a &quot;perfect&quot; Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows:

*:&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
\frac{7\,\text{šar}}{2} &amp;= 3\,\text{šar}\,\,30\,\text{šūši}  \\ 
&amp;= \left(3 \times 60^2 \, \text{years} \right) + \left(30 \times 60^1 \,\text{years} \right) \\ 
&amp;= 10,800 \, \text{years} + 1,800 \, \text{years} \\
&amp;= 12,600 \, \text{years}
\end{aligned}
&lt;/math&gt;

This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60).

==== Prototype 1: Initial &quot;Mesopotamian&quot; Allocation ====

----

&lt;div style=&quot;background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;&quot;&gt;
The initial &quot;PT1&quot; framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''):

* '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49).
* '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''.
* '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920).
&lt;/div&gt;

----

==== Prototype 2: Refined &quot;Jubilee&quot; Allocation ====

----

&lt;div style=&quot;background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;&quot;&gt;
Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the &quot;Remainder&quot; to each of the two primary groups. This resulted in the &quot;PT2&quot; figures as follows:

* '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees).
* '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees).
* '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949).
&lt;/div&gt;

----

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that result in a patriarch surviving beyond the date of the Flood.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e0f2f1; border-bottom:2px solid #009688;&quot; | PROTOTYPE 1&lt;br/&gt;(PT1)
! colspan=&quot;3&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PROTOTYPE 2&lt;br/&gt;(PT2)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;82 šūši&lt;br/&gt;(4920)&lt;/div&gt;
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;45 šūši&lt;br/&gt;(2700)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;4949&lt;/div&gt;
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2727&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 912

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 905

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 910

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;37 šūši&lt;br/&gt;(2220)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2222&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 895

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 6 (360)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot;  | Methuselah
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;46 šūši&lt;br/&gt;(2760)&lt;/div&gt;
| rowspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;32 šūši&lt;br/&gt;(1920)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2702&lt;/div&gt;
| rowspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1919&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 14 (880)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 14 (840)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam
| rowspan=&quot;18&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;82 šūši&lt;br/&gt;(4920)&lt;/div&gt;
| rowspan=&quot;5&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;40 šūši&lt;br/&gt;(2400)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 16 (960)
| rowspan=&quot;18&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;4949&lt;/div&gt;
| rowspan=&quot;5&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2401&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 930

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 10 (600)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 7 (420)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Cainan (II)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 7 (420)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 433

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Eber
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;25 šūši&lt;br/&gt;(1500)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 8 (480)
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1525&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 464

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 4 (240)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 4 (240)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Serug
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 230

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 148

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Abraham
| rowspan=&quot;7&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;17 šūši&lt;br/&gt;(1020)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| rowspan=&quot;7&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1023&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 175

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Isaac
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jacob
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 147

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Levi
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kohath
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Amram
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 131

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Moses
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 120

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! style=&quot;text-align:left; color:black;&quot; | LIFESPAN&lt;br/&gt;DURATION&lt;br/&gt;SUM
| colspan=&quot;6&quot; | 210 šūši&lt;br/&gt;(12,600 years)
|}

== PT2 as the Base Model for Patriarchal Chronologies ==
The &quot;PT2&quot; chronology serves as the foundational model from which subsequent patriarchal lifespans in various textual traditions were derived. Evidence for this remains visible across nearly all biblical records, as they consistently preserve the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1).

* '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost.
* '''The Masoretic Text (MT):''' This tradition shifted 6 years from the &quot;Remainder&quot; to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block.
* '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši'''''.
* '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence.

The use of rounded Mesopotamian figures in the Armenian Eusebius Chronology suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the Septuagint's divergence indicates a later development—likely in Alexandria—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;

|+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum)
|-
! rowspan=&quot;2&quot; | Patriarch Groups
! rowspan=&quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;2&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;3&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! style=&quot;background-color:#e3f2fd;&quot; | Masoretic&lt;br/&gt;(MT)
! style=&quot;background-color:#e3f2fd;&quot; | Samaritan&lt;br/&gt;(SP)
! style=&quot;background-color:#fff3e0;&quot; | Josephus&lt;br/&gt;(94 AD)
! style=&quot;background-color:#fff3e0;&quot; | Eusebius&lt;br/&gt;(325 AD)
! style=&quot;background-color:#fff3e0;&quot; | Septuagint&lt;br/&gt;(LXX)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth to Enoch&lt;br/&gt;&lt;small&gt;(6 Patriarchs)&lt;/small&gt;
| colspan=&quot;2&quot; style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
| style=&quot;background-color:#f9f9f9;&quot; | 4834&lt;br/&gt;&lt;small&gt;(4949 - 115)&lt;/small&gt;
| colspan=&quot;3&quot; style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
|-

| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah, Lamech, Noah&lt;br/&gt;&lt;small&gt;(The Remainder)&lt;/small&gt;
| style=&quot;font-weight:bold; background-color:#f9f9f9;&quot; | 2702
| style=&quot;background-color:#f9f9f9;&quot; | 2696&lt;br/&gt;&lt;small&gt;(2702 - 6)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2323&lt;br/&gt;&lt;small&gt;(2702 - 379)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2626&lt;br/&gt;&lt;small&gt;(2702 - 76)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2642&lt;br/&gt;&lt;small&gt;(2702 - 60)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2672&lt;br/&gt;&lt;small&gt;(2702 - 30)&lt;/small&gt;
|-

| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam &amp; Shem to Moses&lt;br/&gt;&lt;small&gt;(The &quot;Second Half&quot;)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
| style=&quot;background-color:#f9f9f9;&quot; | 4955&lt;br/&gt;&lt;small&gt;(4949 + 6)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 4834&lt;br/&gt;&lt;small&gt;(4949 - 115)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | —
| style=&quot;background-color:#f9f9f9;&quot; | 5609&lt;br/&gt;&lt;small&gt;(4949 + 660)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 5930&lt;br/&gt;&lt;small&gt;(4949 + 981)&lt;/small&gt;

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:14px;&quot;
! LIFESPAN DURATION SUM
| colspan=&quot;2&quot; | 12,600
| 11,991
| —
| 13,200
| 13,551
|}
&lt;small&gt;* '''Dash (—)''' indicates where primary sources do not provide complete death data.&lt;/small&gt;

== Comparative Chronology Tables ==

The following table reconstructs lifespan values across multiple chronological traditions. While most values are derived directly from the primary source texts listed in the header, the '''Armenian Eusebius''' chronology does not explicitly record the lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that result in a patriarch surviving beyond the date of the Flood.
* &lt;span style=&quot;color:#333333;&quot;&gt;'''Blank Cells'''&lt;/span&gt; indicate where primary sources do not provide specific lifespan or death data.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! rowspan = &quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;1&quot; rowspan = &quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;2&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;3&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 912

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 905

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 910

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 895

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962
| 847
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969
| 720
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;6&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 777
| 653
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 707
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 723
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 753

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 930

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600
| rowspan=&quot;9&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438
| 538
| 535

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Cainan (II)
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —
| —
| 460

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 433
| 536
| 460

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Eber
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 464
| 404
| 567
| colspan=&quot;2&quot; | 404

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239
| colspan=&quot;2&quot; | 339

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239
| 342
| 339

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Serug
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 230
| colspan=&quot;2&quot; | 330

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 148
| 198
| 304

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205
| 145
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Abraham
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 175

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Isaac
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180
| 185
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jacob
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 147

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Levi
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137
| rowspan=&quot;3&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kohath
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Amram
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 131
| 137
| 136
| colspan=&quot;2&quot; | 132

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Moses
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 120

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! style=&quot;text-align:left; color:black;&quot; | LIFESPAN&lt;br/&gt;DURATION&lt;br/&gt;SUM
| colspan=&quot;2&quot; | 12,600
| colspan=&quot;1&quot; | 11,991
| —
| colspan=&quot;1&quot; | 13,200
| colspan=&quot;1&quot; | 13,551
|}

=== Samaritan Adjustments ===
Four of the pre-flood patriarchs—Jared, Methuselah, Lamech, and Noah—are credited with exceptionally long lives late in the chronology, which creates a potential overlap where these four patriarchs appear to survive Noah's flood. As shown in the above table, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. Other traditions do not employ this specific reduction, but all must address the issue of flood survival, as explained in later sections.

The required reduction in Jared's lifespan was '''115 years'''. Interestingly, as noted in the previous section, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the &quot;Group 1&quot; and &quot;Group 2&quot; patriarchs.

Specifically, this balance was achieved through the following adjustments:
* '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each).
* '''Amram's''' lifespan was increased by five years.

This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing.

=== Masoretic Adjustments ===

In the 2017 article, &quot;[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs],&quot; Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition:

&lt;blockquote&gt;&quot;The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)&quot;&lt;/blockquote&gt;

While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late &quot;tweak&quot; in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges:

&lt;blockquote&gt;&quot;Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above.&quot;&lt;/blockquote&gt;

==== ''Lectio Difficilior Potior'' ====
The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the &quot;harder reading is stronger&quot;) suggests that scribes tend to simplify or &quot;smooth&quot; texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life.

In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges:

* '''Year 500 (of Noah):''' Shem is born.
* '''Year 600 (of Noah):''' The Flood occurs.
* '''Year 700 (of Noah):''' Lamech dies.

This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a &quot;compressed chronology&quot; (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (53, 653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''183 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate &quot;balancing&quot; of total chronological years.

=== Armenian Eusebius Adjustments ===
Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 220 ''šūši'' (or 10 ''šūši'' more than the Masoretic Text). Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system.

Specifically, the following adjustments appear to have occurred for Group 2 patriarchs:
* '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years.
* '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years.
* '''Nahor''' had his lifespan increased by 50 years.
* '''Amram''' had his lifespan increased by 1 year.

The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''.

= It All Started With Grain =

[[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]]

The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the [https://www.biblicalarchaeology.org/daily/news/ancient-bread-jordan/ Black Desert of Jordan]. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops.

The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the &quot;firstfruits of your harvest&quot; (referring to barley) before the Lord:

&lt;blockquote&gt;&quot;then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord&quot;&lt;/blockquote&gt;

To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues:

&lt;blockquote&gt;&quot;And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord.&quot;&lt;/blockquote&gt;

[[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]]

These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the &quot;better things&quot; and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.

This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: 

&lt;blockquote&gt;&quot;And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye &lt;small&gt;(likely emmer wheat or spelt)&lt;/small&gt; were not smitten: for they were not grown up.&quot;&lt;/blockquote&gt;

This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. 

The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest).

=== The Mathematical Structure of Jubilees ===

The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of &quot;weeks&quot;:

* '''Week of Years:''' 7&lt;sup&gt;1&lt;/sup&gt; = 7 years
* '''Jubilee of Years:''' 7&lt;sup&gt;2&lt;/sup&gt; = 49 years
* '''Week of Jubilees:''' 7&lt;sup&gt;3&lt;/sup&gt; = 343 years
* '''Jubilee of Jubilees:''' 7&lt;sup&gt;4&lt;/sup&gt; = 2,401 years

The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land.

[[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]]

The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested &quot;Jubilee of Jubilees&quot; (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle.

* The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year.
* The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years.
* The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid.
* The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs.

== The Birth of Shem (A Digression) ==
Were Noah's sons born when Noah was 500 or 502?

==== The 502 Calculation ====
While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that &quot;Noah was 500 years old, and Noah begat Shem, Ham, and Japheth,&quot; this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: 
# Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). 
# Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10])

'''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples.

==== Competing Narratives ====
According to the Book of Jubilees 4:33, Shem was the oldest son, born in Noah's 500&lt;sup&gt;th&lt;/sup&gt; year, followed by Ham in the 502&lt;sup&gt;nd&lt;/sup&gt; year, and Japheth in the 505&lt;sup&gt;th&lt;/sup&gt;. This seems to be in contradiction with the Genesis narrative which places Shem as the second son in year 502.

==== ''Lectio Difficilior Potior'' ====

The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the harder reading is stronger) suggests that scribes tend to simplify or &quot;smooth&quot; texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life.

In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28%7Cversion=SPE Lamech’s 53rd year]. If we combine that with the 500-year figure for Noah's age at the birth of his sons and the [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB Septuagint figure of 753] for Lamech's death, a suspiciously neat pattern emerges:

* '''Year 500 (of Noah):''' Shem is born.
* '''Year 600 (of Noah):''' The Flood occurs.
* '''Year 700 (of Noah):''' Lamech dies.

This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a &quot;compressed chronology&quot; (500–600–700) is a hallmark of editorial smoothing—likely values adjusted during the introduction of the universal flood narrative to create a more &quot;perfect&quot; structure.

Applying ''Lectio Difficilior'', we can reasonably set aside the figures 53, 500, and 753 as being &quot;too structured to be true,&quot; shifting our focus to less symmetrical values such as '''502''' for Shem's birth.

== The Mathematical relationship between 40 and 49 ==

As noted previously, the ''Jubilees'' author envisions early Hebraic history within a &quot;Jubilee of Jubilees&quot; fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows:

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 (7-3)(7+3) &amp;=  7^2 - 3^2 \\
 &amp;= 49 - 9 \\
 &amp;= 40
\end{aligned}
&lt;/math&gt;

The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40.

[[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] 

Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years):

[[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]]

&lt;div style=&quot;line-height: 1.5;&quot;&gt;
* '''Book of Jubilees (Adam to Canaan)'''
** Pre-Flood Patriarch years:
*:&lt;math display=&quot;block&quot;&gt;\frac{7^4 - 1}{2} + 3^2 = 1200 + 9 = 1209&lt;/math&gt;
** Post-Flood Patriarch years:
*:&lt;math display=&quot;block&quot;&gt;\frac{7^4 + 1}{2} + (7^2 - 3^2) = 1201 + 40 = 1241&lt;/math&gt;
** Total Years:
*:&lt;math display=&quot;block&quot;&gt;7^4 + 7^2 = 2401 + 49 = 2450&lt;/math&gt;
&lt;/div&gt;

== The Samaritan Pentateuch Connection ==
Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition.

[[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]]

=== Determining Chronological Priority ===
A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem is born in year 1207 (reconstructed as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 &quot;Jubilee of Jubilees.&quot;

This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's &quot;pivot&quot; position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment.

=== The 350-Year Symmetrical Extension ===
Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a &quot;week of Jubilees&quot; (343 years) plus a &quot;week of years&quot; (7 years).

&lt;div style=&quot;line-height: 1.5;&quot;&gt;
* '''Book of Jubilees (Adam to Canaan):'''
:&lt;math display=&quot;block&quot;&gt;7^4 + 7^2 = 2401 + 49 = 2450 \text{ years}&lt;/math&gt;

* '''Samaritan Pentateuch (Adam to Conquest):'''
:&lt;math display=&quot;block&quot;&gt;\begin{aligned} \text{(Base 49): } &amp; 7^4 + 7^3 + 7^2 + 7^1 = 2401 + 343 + 49 + 7 = 2800 \\ \text{(Base 40): } &amp; 70 \times 40 = 2800 \end{aligned}&lt;/math&gt;
&lt;/div&gt;

=== Mathematical Structure of the Early Samaritan Chronology ===
To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each):

* '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''.
* '''The second cluster''' represents a second millennium.
* '''The final set''' contains 20 blocks (4x5), representing '''800 years'''.

Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record.


[[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]]

== Living in the Rough ==

[[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]]

As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a &quot;generation&quot;) are less clear, but the number is consistently associated with &quot;living in the rough&quot;—periods of trial, transition, or exile away from the comforts of civilization. 

Examples of this pattern include:
* '''Noah''' lived within the ark for 40 days while the rain fell; 
* '''Israel''' wandered in the wilderness for 40 years; 
* '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. 

Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era.

Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the &quot;civilized&quot; city.

In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means &quot;supplanter&quot;—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a &quot;skillful hunter&quot; and a &quot;man of the field,&quot; while Jacob is &quot;dwelling in tents&quot; and cooking &quot;lentil stew.&quot;

The text draws a clear parallel between these two sets of brothers:
* In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. 
* In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this &quot;clever&quot; intervention, Jacob successfully secures the favor that Cain could not.

Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. 

This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the &quot;rough&quot; of the wilderness.

Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three &quot;generations&quot; (3 x 40).

The relationship between these two &quot;three-fold&quot; lifespans can be expressed by the same nine-year offset identified in the Shem chronology:

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 49 - 9 &amp;= 40 \\
 3(49 - 9) &amp;= 3(40) \\
 147 - 27 &amp;= 120
\end{aligned}
&lt;/math&gt;

[[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] 

Samaritan tradition maintains a unique cultural link to the &quot;pastoralist&quot; ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the &quot;grain-based&quot; agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to &quot;wilderness living,&quot; the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit.

=== A narrative foil for Joshua ===
As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a &quot;foil&quot; for Jacob: Moses lived exactly three &quot;generations&quot; (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization.

This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding &quot;foil&quot; to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam?

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 49 - 9 &amp;= 40 \\
 70(49 - 9) &amp;= 70(40) \\
 3,430 - 630 &amp;= 2,800
\end{aligned}
&lt;/math&gt;

Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific &quot;foil&quot; to Joshua existed in the original architect's mind.

The Samaritans do maintain a continuous, running calendar. However, this system uses a &quot;Conquest Era&quot; epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. For instance, at that time, the [[w:Hyksos|Hyksos]] were only beginning to establish control over Lower Egypt. Furthermore, the [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC.

There is, however, one more possibility to consider: what if the &quot;irreconcilable&quot; nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent &quot;foil&quot; event occurred exactly 3,430 years after Creation? 

As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare &quot;smoking gun&quot; for the artificial design of the chronology.

=== A Mystery Solved ===
In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest.

The significant milestones in this timeline include:
* '''Year 1''': &quot;This year the world and Adam were created.&quot; 
* '''Year 2801''': &quot;The first year of Israel's rule in the land of Canaan.&quot; 
* '''Year 3423''': &quot;The commencement of the kingdom of Solomon.&quot;

According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological &quot;anchor&quot; was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself.

In Creation Year 2800—marking exactly 70 &quot;generations&quot; of 40 years—God entered Canaan in a tent, embodying the &quot;living rough&quot; wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 &quot;Jubilees&quot; of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70&lt;sup&gt;th&lt;/sup&gt; generation to the 70&lt;sup&gt;th&lt;/sup&gt; Jubilee:

:&lt;math&gt;70 \times 40 + (70 \times 9) = 70 \times 49&lt;/math&gt;

=== Mathematical Structure of the Later Samaritan Chronology ===
The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years:

* '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation.
* '''The second cluster''' spans years '''3,000 to 4,000''' after Creation.
* '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation.

The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year &quot;Tabernacle&quot; era''', which is composed of:
* The 40 years of wandering in the wilderness;
* The 6 years of the initial conquest;
* The 630 years between the conquest and the completion of Solomon’s Temple.

Following the '''676-year &quot;Tabernacle&quot; era''' is a '''400-year &quot;First Temple&quot; era''' and a '''70-year &quot;Exile&quot; era''' as detailed in the historical breakdown below.

[[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]]

The Book of Daniel states: &quot;In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it&quot; (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''.

The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure.

High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. 

Using this synchronization, other significant milestones are mapped as follows:
* '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''.
* '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''.
* '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''.

High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year &quot;Second Temple Persian Era&quot; (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. 

The remainder of the diagram represents a 300-year &quot;Second Temple Hellenistic Era,&quot; which concludes in '''Creation Year 4400''' (30 BC).

=== Competing Temples ===
There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year &quot;Second Temple Persian Era&quot; (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework.

According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple:

&lt;blockquote&gt;&quot;But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel&quot; (Ezra 4:3).&lt;/blockquote&gt;

After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population.

[[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]]

This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC.

= The Rise of Zadok =
The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years:

* '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation.
* '''The second cluster''' spans years '''3,000 to 4,000''' after Creation.
* '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation.

The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section.  Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness.  To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event.

[[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]]

The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000.

= Hellenized Jews =
Hellenized Jews were
ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint.
= Start TBD =

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! rowspan = &quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;1&quot; rowspan = &quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962 &lt;br/&gt; &lt;small&gt;(847)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(847)&lt;/small&gt;
| 962 &lt;br/&gt; &lt;small&gt;(1196)&lt;/small&gt;
| 847 &lt;br/&gt; &lt;small&gt;(847)&lt;/small&gt;
| 962 &lt;br/&gt; &lt;small&gt;(1302)&lt;/small&gt;
| colspan=&quot;2&quot; | 962 &lt;br/&gt; &lt;small&gt;(1282)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(1282)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(1302)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(1304)&lt;/small&gt;

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;10&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969
| 720
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 777
| 653
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 707
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 723
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 753

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;6&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600
| rowspan=&quot;9&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438
| 538
| 535

|}

= End TBD =

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that could result in patriarchs surviving beyond the date of the Flood.
* &lt;span style=&quot;color:#333333;&quot;&gt;'''Blank Cells'''&lt;/span&gt; indicate where primary sources do not provide specific lifespan or death data.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;&quot;
|+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son)

|-
! rowspan=&quot;2&quot; colspan=&quot;1&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Adam
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 130
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 230

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Seth
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 105
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 205

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 90
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 190

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 70
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 170

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 66
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | 65
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 165

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 61
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 162
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 62
| colspan=&quot;6&quot; style=&quot;background-color:#f9f9f9;&quot; | 162

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 65
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 165

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 65
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 187
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 67
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 167 / 187
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 167
| colspan=&quot;2&quot; style=&quot;background-color:#f9f9f9;&quot; | 187

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 55
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 182
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 53
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 182 / 188
| colspan=&quot;5&quot; style=&quot;background-color:#f9f9f9;&quot; | 188

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;9&quot; style=&quot;background-color:#e8e8e8;&quot; | 500 .. 502

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot; style=&quot;text-align:left; color:black;&quot; | Pre-Flood TOTAL
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 1556
| colspan=&quot;1&quot; | 1209
| colspan=&quot;3&quot; | Varied
| colspan=&quot;1&quot; | 2142
| colspan=&quot;1&quot; | 2162
| colspan=&quot;1&quot; | 2164
|}

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;&quot;

|+ Comparison of Post-Flood Chronological Traditions (Age at birth of son)
|-
! colspan=&quot;1&quot; rowspan=&quot;2&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot;  style=&quot;text-align:left; color:black;&quot; | Pre-Flood
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 1556
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 2164
| colspan=&quot;1&quot; | 2162
| colspan=&quot;1&quot; | 2142
| colspan=&quot;3&quot; | Varied

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 100
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 112

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Arphaxad
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 66
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 35
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 135

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Cainan II
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 57
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 130
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 130
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 71
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Eber
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 64
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 34
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 134

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 61
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 59
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 32
| colspan=&quot;5&quot; style=&quot;background-color:#e8e8e8;&quot; | 132
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 135
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Serug	
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 57
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 130
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 132

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 62
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 29
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 79
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 75
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 79 / 179
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 79
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 120

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;9&quot; style=&quot;background-color:#e8e8e8;&quot; | 70

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Abram
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 78
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 75

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Canaan
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 218
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 215

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Egypt
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 238
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 430
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 215
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 430
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 215
|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Sinai +/-
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 40
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | -
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 46
| colspan=&quot;4&quot; style=&quot;background-color:#e8e8e8;&quot; | 40

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot; style=&quot;text-align:left; color:black;&quot; | GRAND TOTAL
| colspan=&quot;1&quot; | 2450
| colspan=&quot;1&quot; | 2666
| colspan=&quot;1&quot; | 2800
| colspan=&quot;1&quot; | 3885
| colspan=&quot;1&quot; | 3754
| colspan=&quot;1&quot; | 3938
| colspan=&quot;3&quot; | Varied
|}

== The Septuagint Chronology ==

While the chronologies of the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' are anchored in Levant-based agricultural cycles and the symbolic interplay of the numbers 40 and 49, the Septuagint (LXX) appears to have been structured around a different set of priorities. Specifically, the LXX's chronological framework seems designed to resolve a significant textual difficulty: the mathematical anomaly of patriarchs potentially outliving the Flood. In the 2017 article, ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', author Paul D. makes the following statement regarding the Septuagint:

&lt;blockquote&gt;“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”&lt;/blockquote&gt;

While Paul D.’s &quot;Whoops Theory&quot; suggests the LXX editor intended to &quot;fix&quot; the timeline but failed in the case of Methuselah, this interpretation potentially overlooks the systemic nature of the changes. If an editor is methodical enough to systematically alter multiple generations by exactly one hundred years, a single &quot;failure&quot; to fix Methuselah could suggest the avoidance of a post-Flood death was not the primary objective.

Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': 

&lt;blockquote&gt;&quot;Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years.&quot;&lt;/blockquote&gt; 

This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development.

=== Demetrius the Chronographer ===
Demetrius the Chronographer, writing as early as the late 3rd century BC (c. 221 BC), represents the earliest known witness to biblical chronological calculations. While only fragments of his work remain, they are significant; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. This presumably places the birth of Shem at 2,164 years—exactly one hundred years before the Flood—aligning his data with the &quot;Long Chronology&quot; of the Septuagint.

In the comment section of the original article, in response to evidence regarding this longer tradition (provided by commenter Roger Quill), Paul D. reaffirms his &quot;Whoops Theory&quot; by challenging the validity of various witnesses to the 187-year begettal age of Methuselah. In this view, Codex Alexandrinus is seen as the lone legitimate witness, while others are discounted: 

* '''Josephus:''' Characterized as dependent on the Masoretic tradition.
* '''Pseudo-Philo:''' Dismissed due to textual corruption (&quot;a real mess&quot;).
* '''Julius Africanus:''' Questioned because his records survive only through the later intermediary, Syncellus.
* '''Demetrius:''' Rejected as a witness because his chronology contains an additional 22 years (rather than the typical 20-year variance) whose precise placement remains unknown.

The claim that Julius Africanus is invalidated due to his survival through an intermediary, or that Demetrius is disqualified by a 22-year variance, is arguably overstated. A plausible explanation for the discrepancy in Demetrius's chronology is the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can easily account for such variances without necessitating the rejection of the witnesses.

=== The Correlations ===
An interesting piece of corroborating evidence exists in the previously mentioned 1864 publication by Rev. John Mills, ''Three Months' Residence at Nablus'', where High Priest Amram records his own chronological dates based on the Samaritan Pentateuch. Priest Amram lists the Flood date as 1307 years after creation, but then lists the birth of Arphaxad as 1309 years—exactly two years after the Flood—which presumably places Shem's birth in year 502 of Noah's life (though Shem's actual birth date in the text is obscured by a typo).

The internal tension in Priest Amram's calculations likely reflects the same two-year variance seen between Demetrius and Africanus. Priest Amram lists the birth years of Shelah, Eber, and Peleg as 1444, 1574, and 1708, respectively. Africanus lists those same birth years as 2397, 2527, and 2661. In each case, the Priest Amram figure differs from the Africanus value by exactly 953 years. While the chronology of Africanus may reach us through an intermediary, as Paul D. notes, the values provided by both Demetrius and Africanus are precisely what one would anticipate to resolve the &quot;Universal Flood&quot; problem.


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      <text bytes="87030" sha1="olcf0jp5zcylxfh3qnwxlp1fjwfpcby" xml:space="preserve">{{Original research}}
This page evaluates and extends the mathematical insights presented in the 2017 article, ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'' by Paul D. While the original article provides a compelling foundation, this analysis identifies areas where the underlying data and mathematical evidence are more robust than initially presented. The following sections aim to clarify these findings and offer a more precise structural framework.

== Summary of Main Arguments ==
The ages of the patriarchs in Genesis are not intended as historical records, but as a complex symbolic mathematical structure designed by ancient authors. Key points include:

* '''Artificial Mathematical Design:''' Patriarchal ages and event years are based on symbolic or &quot;perfect&quot; numbers (such as 7, 49, and 60) rather than biological or historical reality.
* '''Alignment with Sacred Cycles:''' The chronologies are designed to align significant events—such as the Exodus and the dedication of Solomon’s Temple—with specific &quot;years of the world&quot; (''Anno Mundi''), synchronizing human history with a divine calendar.
* '''The Universal Flood as a Later Insertion:''' Evidence suggests the universal scope of Noah's Flood was a later addition to a patriarchal foundation story. This insertion disrupted the original timelines, forcing recalibrations in the Masoretic Text (MT), Samaritan Pentateuch (SP), and Septuagint (LXX) to avoid chronological contradictions.
* '''Chronological Overlaps:''' In the original numerical framework (prior to recalibration for a universal flood), the mathematical structures resulted in overlaps where certain patriarchs, such as Methuselah, survived beyond the date of the Flood.

= Arichat Yamim =

Most of the patriarchs' lifespans in the Hebrew Bible far exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101).

This phenomenon is difficult to explain, as no known ancient number system features &quot;101&quot; as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle.
 
In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a &quot;perfect&quot; Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows:

*:&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
\frac{7\,\text{šar}}{2} &amp;= 3\,\text{šar}\,\,30\,\text{šūši}  \\ 
&amp;= \left(3 \times 60^2 \, \text{years} \right) + \left(30 \times 60^1 \,\text{years} \right) \\ 
&amp;= 10,800 \, \text{years} + 1,800 \, \text{years} \\
&amp;= 12,600 \, \text{years}
\end{aligned}
&lt;/math&gt;

This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60).

==== Prototype 1: Initial &quot;Mesopotamian&quot; Allocation ====

----

&lt;div style=&quot;background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;&quot;&gt;
The initial &quot;PT1&quot; framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''):

* '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49).
* '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''.
* '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920).
&lt;/div&gt;

----

==== Prototype 2: Refined &quot;Jubilee&quot; Allocation ====

----

&lt;div style=&quot;background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;&quot;&gt;
Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the &quot;Remainder&quot; to each of the two primary groups. This resulted in the &quot;PT2&quot; figures as follows:

* '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees).
* '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees).
* '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949).
&lt;/div&gt;

----

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that result in a patriarch surviving beyond the date of the Flood.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e0f2f1; border-bottom:2px solid #009688;&quot; | PROTOTYPE 1&lt;br/&gt;(PT1)
! colspan=&quot;3&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PROTOTYPE 2&lt;br/&gt;(PT2)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;82 šūši&lt;br/&gt;(4920)&lt;/div&gt;
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;45 šūši&lt;br/&gt;(2700)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;4949&lt;/div&gt;
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2727&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 912

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 905

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 910

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;37 šūši&lt;br/&gt;(2220)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2222&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 895

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 6 (360)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot;  | Methuselah
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;46 šūši&lt;br/&gt;(2760)&lt;/div&gt;
| rowspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;32 šūši&lt;br/&gt;(1920)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2702&lt;/div&gt;
| rowspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1919&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 14 (880)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 14 (840)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam
| rowspan=&quot;18&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;82 šūši&lt;br/&gt;(4920)&lt;/div&gt;
| rowspan=&quot;5&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;40 šūši&lt;br/&gt;(2400)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 16 (960)
| rowspan=&quot;18&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;4949&lt;/div&gt;
| rowspan=&quot;5&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2401&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 930

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 10 (600)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 7 (420)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Cainan (II)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 7 (420)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 433

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Eber
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;25 šūši&lt;br/&gt;(1500)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 8 (480)
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1525&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 464

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 4 (240)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 4 (240)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Serug
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 230

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 148

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Abraham
| rowspan=&quot;7&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;17 šūši&lt;br/&gt;(1020)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| rowspan=&quot;7&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1023&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 175

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Isaac
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jacob
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 147

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Levi
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kohath
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Amram
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 131

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Moses
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 120

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! style=&quot;text-align:left; color:black;&quot; | LIFESPAN&lt;br/&gt;DURATION&lt;br/&gt;SUM
| colspan=&quot;6&quot; | 210 šūši&lt;br/&gt;(12,600 years)
|}

== PT2 as the Base Model for Patriarchal Chronologies ==
The &quot;PT2&quot; chronology serves as the foundational model from which subsequent patriarchal lifespans in various textual traditions were derived. Evidence for this remains visible across nearly all biblical records, as they consistently preserve the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1).

* '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost.
* '''The Masoretic Text (MT):''' This tradition shifted 6 years from the &quot;Remainder&quot; to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block.
* '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši'''''.
* '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence.

The use of rounded Mesopotamian figures in the Armenian Eusebius Chronology suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the Septuagint's divergence indicates a later development—likely in Alexandria—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;

|+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum)
|-
! rowspan=&quot;2&quot; | Patriarch Groups
! rowspan=&quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;2&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;3&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! style=&quot;background-color:#e3f2fd;&quot; | Masoretic&lt;br/&gt;(MT)
! style=&quot;background-color:#e3f2fd;&quot; | Samaritan&lt;br/&gt;(SP)
! style=&quot;background-color:#fff3e0;&quot; | Josephus&lt;br/&gt;(94 AD)
! style=&quot;background-color:#fff3e0;&quot; | Eusebius&lt;br/&gt;(325 AD)
! style=&quot;background-color:#fff3e0;&quot; | Septuagint&lt;br/&gt;(LXX)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth to Enoch&lt;br/&gt;&lt;small&gt;(6 Patriarchs)&lt;/small&gt;
| colspan=&quot;2&quot; style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
| style=&quot;background-color:#f9f9f9;&quot; | 4834&lt;br/&gt;&lt;small&gt;(4949 - 115)&lt;/small&gt;
| colspan=&quot;3&quot; style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
|-

| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah, Lamech, Noah&lt;br/&gt;&lt;small&gt;(The Remainder)&lt;/small&gt;
| style=&quot;font-weight:bold; background-color:#f9f9f9;&quot; | 2702
| style=&quot;background-color:#f9f9f9;&quot; | 2696&lt;br/&gt;&lt;small&gt;(2702 - 6)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2323&lt;br/&gt;&lt;small&gt;(2702 - 379)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2626&lt;br/&gt;&lt;small&gt;(2702 - 76)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2642&lt;br/&gt;&lt;small&gt;(2702 - 60)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2672&lt;br/&gt;&lt;small&gt;(2702 - 30)&lt;/small&gt;
|-

| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam &amp; Shem to Moses&lt;br/&gt;&lt;small&gt;(The &quot;Second Half&quot;)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
| style=&quot;background-color:#f9f9f9;&quot; | 4955&lt;br/&gt;&lt;small&gt;(4949 + 6)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 4834&lt;br/&gt;&lt;small&gt;(4949 - 115)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | —
| style=&quot;background-color:#f9f9f9;&quot; | 5609&lt;br/&gt;&lt;small&gt;(4949 + 660)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 5930&lt;br/&gt;&lt;small&gt;(4949 + 981)&lt;/small&gt;

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:14px;&quot;
! LIFESPAN DURATION SUM
| colspan=&quot;2&quot; | 12,600
| 11,991
| —
| 13,200
| 13,551
|}
&lt;small&gt;* '''Dash (—)''' indicates where primary sources do not provide complete death data.&lt;/small&gt;

== Comparative Chronology Tables ==

The following table reconstructs lifespan values across multiple chronological traditions. While most values are derived directly from the primary source texts listed in the header, the '''Armenian Eusebius''' chronology does not explicitly record the lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that result in a patriarch surviving beyond the date of the Flood.
* &lt;span style=&quot;color:#333333;&quot;&gt;'''Blank Cells'''&lt;/span&gt; indicate where primary sources do not provide specific lifespan or death data.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! rowspan = &quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;1&quot; rowspan = &quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;2&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;3&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 912

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 905

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 910

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 895

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962
| 847
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969
| 720
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;6&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 777
| 653
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 707
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 723
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 753

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 930

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600
| rowspan=&quot;9&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438
| 538
| 535

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Cainan (II)
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —
| —
| 460

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 433
| 536
| 460

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Eber
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 464
| 404
| 567
| colspan=&quot;2&quot; | 404

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239
| colspan=&quot;2&quot; | 339

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239
| 342
| 339

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Serug
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 230
| colspan=&quot;2&quot; | 330

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 148
| 198
| 304

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205
| 145
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Abraham
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 175

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Isaac
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180
| 185
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jacob
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 147

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Levi
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137
| rowspan=&quot;3&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kohath
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Amram
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 131
| 137
| 136
| colspan=&quot;2&quot; | 132

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Moses
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 120

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! style=&quot;text-align:left; color:black;&quot; | LIFESPAN&lt;br/&gt;DURATION&lt;br/&gt;SUM
| colspan=&quot;2&quot; | 12,600
| colspan=&quot;1&quot; | 11,991
| —
| colspan=&quot;1&quot; | 13,200
| colspan=&quot;1&quot; | 13,551
|}

=== Samaritan Adjustments ===
Four of the pre-flood patriarchs—Jared, Methuselah, Lamech, and Noah—are credited with exceptionally long lives late in the chronology, which creates a potential overlap where these four patriarchs appear to survive Noah's flood. As shown in the above table, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. Other traditions do not employ this specific reduction, but all must address the issue of flood survival, as explained in later sections.

The required reduction in Jared's lifespan was '''115 years'''. Interestingly, as noted in the previous section, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the &quot;Group 1&quot; and &quot;Group 2&quot; patriarchs.

Specifically, this balance was achieved through the following adjustments:
* '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each).
* '''Amram's''' lifespan was increased by five years.

This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing.

=== Masoretic Adjustments ===

In the 2017 article, &quot;[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs],&quot; Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition:

&lt;blockquote&gt;&quot;The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)&quot;&lt;/blockquote&gt;

While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late &quot;tweak&quot; in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges:

&lt;blockquote&gt;&quot;Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above.&quot;&lt;/blockquote&gt;

==== ''Lectio Difficilior Potior'' ====
The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the &quot;harder reading is stronger&quot;) suggests that scribes tend to simplify or &quot;smooth&quot; texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life.

In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges:

* '''Year 500 (of Noah):''' Shem is born.
* '''Year 600 (of Noah):''' The Flood occurs.
* '''Year 700 (of Noah):''' Lamech dies.

This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a &quot;compressed chronology&quot; (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (53, 653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''183 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate &quot;balancing&quot; of total chronological years.

=== Armenian Eusebius Adjustments ===
Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 220 ''šūši'' (or 10 ''šūši'' more than the Masoretic Text). Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system.

Specifically, the following adjustments appear to have occurred for Group 2 patriarchs:
* '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years.
* '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years.
* '''Nahor''' had his lifespan increased by 50 years.
* '''Amram''' had his lifespan increased by 1 year.

The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''.

= It All Started With Grain =

[[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]]

The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the [https://www.biblicalarchaeology.org/daily/news/ancient-bread-jordan/ Black Desert of Jordan]. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops.

The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the &quot;firstfruits of your harvest&quot; (referring to barley) before the Lord:

&lt;blockquote&gt;&quot;then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord&quot;&lt;/blockquote&gt;

To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues:

&lt;blockquote&gt;&quot;And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord.&quot;&lt;/blockquote&gt;

[[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]]

These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the &quot;better things&quot; and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.

This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: 

&lt;blockquote&gt;&quot;And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye &lt;small&gt;(likely emmer wheat or spelt)&lt;/small&gt; were not smitten: for they were not grown up.&quot;&lt;/blockquote&gt;

This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. 

The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest).

=== The Mathematical Structure of Jubilees ===

The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of &quot;weeks&quot;:

* '''Week of Years:''' 7&lt;sup&gt;1&lt;/sup&gt; = 7 years
* '''Jubilee of Years:''' 7&lt;sup&gt;2&lt;/sup&gt; = 49 years
* '''Week of Jubilees:''' 7&lt;sup&gt;3&lt;/sup&gt; = 343 years
* '''Jubilee of Jubilees:''' 7&lt;sup&gt;4&lt;/sup&gt; = 2,401 years

The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land.

[[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]]

The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested &quot;Jubilee of Jubilees&quot; (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle.

* The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year.
* The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years.
* The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid.
* The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs.

== The Birth of Shem (A Digression) ==
Were Noah's sons born when Noah was 500 or 502?

==== The 502 Calculation ====
While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that &quot;Noah was 500 years old, and Noah begat Shem, Ham, and Japheth,&quot; this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: 
# Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). 
# Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10])

'''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples.

==== Competing Narratives ====
According to the Book of Jubilees 4:33, Shem was the oldest son, born in Noah's 500&lt;sup&gt;th&lt;/sup&gt; year, followed by Ham in the 502&lt;sup&gt;nd&lt;/sup&gt; year, and Japheth in the 505&lt;sup&gt;th&lt;/sup&gt;. This seems to be in contradiction with the Genesis narrative which places Shem as the second son in year 502.

==== ''Lectio Difficilior Potior'' ====

The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the harder reading is stronger) suggests that scribes tend to simplify or &quot;smooth&quot; texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life.

In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28%7Cversion=SPE Lamech’s 53rd year]. If we combine that with the 500-year figure for Noah's age at the birth of his sons and the [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB Septuagint figure of 753] for Lamech's death, a suspiciously neat pattern emerges:

* '''Year 500 (of Noah):''' Shem is born.
* '''Year 600 (of Noah):''' The Flood occurs.
* '''Year 700 (of Noah):''' Lamech dies.

This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a &quot;compressed chronology&quot; (500–600–700) is a hallmark of editorial smoothing—likely values adjusted during the introduction of the universal flood narrative to create a more &quot;perfect&quot; structure.

Applying ''Lectio Difficilior'', we can reasonably set aside the figures 53, 500, and 753 as being &quot;too structured to be true,&quot; shifting our focus to less symmetrical values such as '''502''' for Shem's birth.

== The Mathematical relationship between 40 and 49 ==

As noted previously, the ''Jubilees'' author envisions early Hebraic history within a &quot;Jubilee of Jubilees&quot; fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows:

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 (7-3)(7+3) &amp;=  7^2 - 3^2 \\
 &amp;= 49 - 9 \\
 &amp;= 40
\end{aligned}
&lt;/math&gt;

The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40.

[[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] 

Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years):

[[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]]

&lt;div style=&quot;line-height: 1.5;&quot;&gt;
* '''Book of Jubilees (Adam to Canaan)'''
** Pre-Flood Patriarch years:
*:&lt;math display=&quot;block&quot;&gt;\frac{7^4 - 1}{2} + 3^2 = 1200 + 9 = 1209&lt;/math&gt;
** Post-Flood Patriarch years:
*:&lt;math display=&quot;block&quot;&gt;\frac{7^4 + 1}{2} + (7^2 - 3^2) = 1201 + 40 = 1241&lt;/math&gt;
** Total Years:
*:&lt;math display=&quot;block&quot;&gt;7^4 + 7^2 = 2401 + 49 = 2450&lt;/math&gt;
&lt;/div&gt;

== The Samaritan Pentateuch Connection ==
Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition.

[[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]]

=== Determining Chronological Priority ===
A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem is born in year 1207 (reconstructed as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 &quot;Jubilee of Jubilees.&quot;

This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's &quot;pivot&quot; position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment.

=== The 350-Year Symmetrical Extension ===
Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a &quot;week of Jubilees&quot; (343 years) plus a &quot;week of years&quot; (7 years).

&lt;div style=&quot;line-height: 1.5;&quot;&gt;
* '''Book of Jubilees (Adam to Canaan):'''
:&lt;math display=&quot;block&quot;&gt;7^4 + 7^2 = 2401 + 49 = 2450 \text{ years}&lt;/math&gt;

* '''Samaritan Pentateuch (Adam to Conquest):'''
:&lt;math display=&quot;block&quot;&gt;\begin{aligned} \text{(Base 49): } &amp; 7^4 + 7^3 + 7^2 + 7^1 = 2401 + 343 + 49 + 7 = 2800 \\ \text{(Base 40): } &amp; 70 \times 40 = 2800 \end{aligned}&lt;/math&gt;
&lt;/div&gt;

=== Mathematical Structure of the Early Samaritan Chronology ===
To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each):

* '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''.
* '''The second cluster''' represents a second millennium.
* '''The final set''' contains 20 blocks (4x5), representing '''800 years'''.

Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record.


[[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]]

== Living in the Rough ==

[[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]]

As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a &quot;generation&quot;) are less clear, but the number is consistently associated with &quot;living in the rough&quot;—periods of trial, transition, or exile away from the comforts of civilization. 

Examples of this pattern include:
* '''Noah''' lived within the ark for 40 days while the rain fell; 
* '''Israel''' wandered in the wilderness for 40 years; 
* '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. 

Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era.

Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the &quot;civilized&quot; city.

In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means &quot;supplanter&quot;—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a &quot;skillful hunter&quot; and a &quot;man of the field,&quot; while Jacob is &quot;dwelling in tents&quot; and cooking &quot;lentil stew.&quot;

The text draws a clear parallel between these two sets of brothers:
* In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. 
* In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this &quot;clever&quot; intervention, Jacob successfully secures the favor that Cain could not.

Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. 

This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the &quot;rough&quot; of the wilderness.

Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three &quot;generations&quot; (3 x 40).

The relationship between these two &quot;three-fold&quot; lifespans can be expressed by the same nine-year offset identified in the Shem chronology:

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 49 - 9 &amp;= 40 \\
 3(49 - 9) &amp;= 3(40) \\
 147 - 27 &amp;= 120
\end{aligned}
&lt;/math&gt;

[[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] 

Samaritan tradition maintains a unique cultural link to the &quot;pastoralist&quot; ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the &quot;grain-based&quot; agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to &quot;wilderness living,&quot; the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit.

=== A narrative foil for Joshua ===
As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a &quot;foil&quot; for Jacob: Moses lived exactly three &quot;generations&quot; (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization.

This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding &quot;foil&quot; to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam?

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 49 - 9 &amp;= 40 \\
 70(49 - 9) &amp;= 70(40) \\
 3,430 - 630 &amp;= 2,800
\end{aligned}
&lt;/math&gt;

Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific &quot;foil&quot; to Joshua existed in the original architect's mind.

The Samaritans do maintain a continuous, running calendar. However, this system uses a &quot;Conquest Era&quot; epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. For instance, at that time, the [[w:Hyksos|Hyksos]] were only beginning to establish control over Lower Egypt. Furthermore, the [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC.

There is, however, one more possibility to consider: what if the &quot;irreconcilable&quot; nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent &quot;foil&quot; event occurred exactly 3,430 years after Creation? 

As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare &quot;smoking gun&quot; for the artificial design of the chronology.

=== A Mystery Solved ===
In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest.

The significant milestones in this timeline include:
* '''Year 1''': &quot;This year the world and Adam were created.&quot; 
* '''Year 2801''': &quot;The first year of Israel's rule in the land of Canaan.&quot; 
* '''Year 3423''': &quot;The commencement of the kingdom of Solomon.&quot;

According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological &quot;anchor&quot; was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself.

In Creation Year 2800—marking exactly 70 &quot;generations&quot; of 40 years—God entered Canaan in a tent, embodying the &quot;living rough&quot; wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 &quot;Jubilees&quot; of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70&lt;sup&gt;th&lt;/sup&gt; generation to the 70&lt;sup&gt;th&lt;/sup&gt; Jubilee:

:&lt;math&gt;70 \times 40 + (70 \times 9) = 70 \times 49&lt;/math&gt;

=== Mathematical Structure of the Later Samaritan Chronology ===
The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years:

* '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation.
* '''The second cluster''' spans years '''3,000 to 4,000''' after Creation.
* '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation.

The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year &quot;Tabernacle&quot; era''', which is composed of:
* The 40 years of wandering in the wilderness;
* The 6 years of the initial conquest;
* The 630 years between the conquest and the completion of Solomon’s Temple.

Following the '''676-year &quot;Tabernacle&quot; era''' is a '''400-year &quot;First Temple&quot; era''' and a '''70-year &quot;Exile&quot; era''' as detailed in the historical breakdown below.

[[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]]

The Book of Daniel states: &quot;In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it&quot; (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''.

The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure.

High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. 

Using this synchronization, other significant milestones are mapped as follows:
* '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''.
* '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''.
* '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''.

High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year &quot;Second Temple Persian Era&quot; (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. 

The remainder of the diagram represents a 300-year &quot;Second Temple Hellenistic Era,&quot; which concludes in '''Creation Year 4400''' (30 BC).

=== Competing Temples ===
There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year &quot;Second Temple Persian Era&quot; (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework.

According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple:

&lt;blockquote&gt;&quot;But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel&quot; (Ezra 4:3).&lt;/blockquote&gt;

After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population.

[[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]]

This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC.

= The Rise of Zadok =
The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years:

* '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation.
* '''The second cluster''' spans years '''3,000 to 4,000''' after Creation.
* '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation.

The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section.  Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness.  To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event.

[[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]]

The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000.

= Hellenized Jews =
Hellenized Jews were
ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint.
= Start TBD =

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! rowspan = &quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;1&quot; rowspan = &quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962 &lt;br/&gt; &lt;small&gt;(847)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(847)&lt;/small&gt;
| 962 &lt;br/&gt; &lt;small&gt;(1196)&lt;/small&gt;
| 847 &lt;br/&gt; &lt;small&gt;(847)&lt;/small&gt;
| 962 &lt;br/&gt; &lt;small&gt;(1302)&lt;/small&gt;
| colspan=&quot;2&quot; | 962 &lt;br/&gt; &lt;small&gt;(1282)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(1282)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(1302)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(1304)&lt;/small&gt;

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;10&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969 &lt;br/&gt; &lt;small&gt;(721)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(721)&lt;/small&gt;
| 969 &lt;br/&gt; &lt;small&gt;(969)&lt;/small&gt;
| 720 &lt;br/&gt; &lt;small&gt;(720)&lt;/small&gt;
| 969 &lt;br/&gt; &lt;small&gt;(975)&lt;/small&gt;
| colspan=&quot;2&quot; | 969 &lt;br/&gt; &lt;small&gt;(955)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(955)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(975)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(977)&lt;/small&gt;

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 777
| 653
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 707
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 723
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 753

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;6&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600
| rowspan=&quot;9&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438
| 538
| 535

|}

= End TBD =

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that could result in patriarchs surviving beyond the date of the Flood.
* &lt;span style=&quot;color:#333333;&quot;&gt;'''Blank Cells'''&lt;/span&gt; indicate where primary sources do not provide specific lifespan or death data.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;&quot;
|+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son)

|-
! rowspan=&quot;2&quot; colspan=&quot;1&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Adam
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 130
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 230

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Seth
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 105
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 205

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 90
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 190

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 70
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 170

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 66
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | 65
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 165

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 61
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 162
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 62
| colspan=&quot;6&quot; style=&quot;background-color:#f9f9f9;&quot; | 162

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 65
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 165

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 65
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 187
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 67
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 167 / 187
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 167
| colspan=&quot;2&quot; style=&quot;background-color:#f9f9f9;&quot; | 187

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 55
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 182
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 53
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 182 / 188
| colspan=&quot;5&quot; style=&quot;background-color:#f9f9f9;&quot; | 188

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;9&quot; style=&quot;background-color:#e8e8e8;&quot; | 500 .. 502

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot; style=&quot;text-align:left; color:black;&quot; | Pre-Flood TOTAL
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 1556
| colspan=&quot;1&quot; | 1209
| colspan=&quot;3&quot; | Varied
| colspan=&quot;1&quot; | 2142
| colspan=&quot;1&quot; | 2162
| colspan=&quot;1&quot; | 2164
|}

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;&quot;

|+ Comparison of Post-Flood Chronological Traditions (Age at birth of son)
|-
! colspan=&quot;1&quot; rowspan=&quot;2&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot;  style=&quot;text-align:left; color:black;&quot; | Pre-Flood
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 1556
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 2164
| colspan=&quot;1&quot; | 2162
| colspan=&quot;1&quot; | 2142
| colspan=&quot;3&quot; | Varied

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 100
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 112

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Arphaxad
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 66
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 35
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 135

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Cainan II
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 57
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 130
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 130
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 71
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Eber
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 64
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 34
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 134

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 61
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 59
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 32
| colspan=&quot;5&quot; style=&quot;background-color:#e8e8e8;&quot; | 132
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 135
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Serug	
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 57
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 130
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 132

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 62
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 29
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 79
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 75
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 79 / 179
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 79
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 120

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;9&quot; style=&quot;background-color:#e8e8e8;&quot; | 70

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Abram
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 78
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 75

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Canaan
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 218
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 215

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Egypt
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 238
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 430
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 215
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 430
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 215
|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Sinai +/-
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 40
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | -
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 46
| colspan=&quot;4&quot; style=&quot;background-color:#e8e8e8;&quot; | 40

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot; style=&quot;text-align:left; color:black;&quot; | GRAND TOTAL
| colspan=&quot;1&quot; | 2450
| colspan=&quot;1&quot; | 2666
| colspan=&quot;1&quot; | 2800
| colspan=&quot;1&quot; | 3885
| colspan=&quot;1&quot; | 3754
| colspan=&quot;1&quot; | 3938
| colspan=&quot;3&quot; | Varied
|}

== The Septuagint Chronology ==

While the chronologies of the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' are anchored in Levant-based agricultural cycles and the symbolic interplay of the numbers 40 and 49, the Septuagint (LXX) appears to have been structured around a different set of priorities. Specifically, the LXX's chronological framework seems designed to resolve a significant textual difficulty: the mathematical anomaly of patriarchs potentially outliving the Flood. In the 2017 article, ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', author Paul D. makes the following statement regarding the Septuagint:

&lt;blockquote&gt;“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”&lt;/blockquote&gt;

While Paul D.’s &quot;Whoops Theory&quot; suggests the LXX editor intended to &quot;fix&quot; the timeline but failed in the case of Methuselah, this interpretation potentially overlooks the systemic nature of the changes. If an editor is methodical enough to systematically alter multiple generations by exactly one hundred years, a single &quot;failure&quot; to fix Methuselah could suggest the avoidance of a post-Flood death was not the primary objective.

Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': 

&lt;blockquote&gt;&quot;Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years.&quot;&lt;/blockquote&gt; 

This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development.

=== Demetrius the Chronographer ===
Demetrius the Chronographer, writing as early as the late 3rd century BC (c. 221 BC), represents the earliest known witness to biblical chronological calculations. While only fragments of his work remain, they are significant; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. This presumably places the birth of Shem at 2,164 years—exactly one hundred years before the Flood—aligning his data with the &quot;Long Chronology&quot; of the Septuagint.

In the comment section of the original article, in response to evidence regarding this longer tradition (provided by commenter Roger Quill), Paul D. reaffirms his &quot;Whoops Theory&quot; by challenging the validity of various witnesses to the 187-year begettal age of Methuselah. In this view, Codex Alexandrinus is seen as the lone legitimate witness, while others are discounted: 

* '''Josephus:''' Characterized as dependent on the Masoretic tradition.
* '''Pseudo-Philo:''' Dismissed due to textual corruption (&quot;a real mess&quot;).
* '''Julius Africanus:''' Questioned because his records survive only through the later intermediary, Syncellus.
* '''Demetrius:''' Rejected as a witness because his chronology contains an additional 22 years (rather than the typical 20-year variance) whose precise placement remains unknown.

The claim that Julius Africanus is invalidated due to his survival through an intermediary, or that Demetrius is disqualified by a 22-year variance, is arguably overstated. A plausible explanation for the discrepancy in Demetrius's chronology is the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can easily account for such variances without necessitating the rejection of the witnesses.

=== The Correlations ===
An interesting piece of corroborating evidence exists in the previously mentioned 1864 publication by Rev. John Mills, ''Three Months' Residence at Nablus'', where High Priest Amram records his own chronological dates based on the Samaritan Pentateuch. Priest Amram lists the Flood date as 1307 years after creation, but then lists the birth of Arphaxad as 1309 years—exactly two years after the Flood—which presumably places Shem's birth in year 502 of Noah's life (though Shem's actual birth date in the text is obscured by a typo).

The internal tension in Priest Amram's calculations likely reflects the same two-year variance seen between Demetrius and Africanus. Priest Amram lists the birth years of Shelah, Eber, and Peleg as 1444, 1574, and 1708, respectively. Africanus lists those same birth years as 2397, 2527, and 2661. In each case, the Priest Amram figure differs from the Africanus value by exactly 953 years. While the chronology of Africanus may reach us through an intermediary, as Paul D. notes, the values provided by both Demetrius and Africanus are precisely what one would anticipate to resolve the &quot;Universal Flood&quot; problem.


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      <text bytes="87123" sha1="r037iy5cybxdmufz7q34rilkkg5ulxr" xml:space="preserve">{{Original research}}
This page evaluates and extends the mathematical insights presented in the 2017 article, ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'' by Paul D. While the original article provides a compelling foundation, this analysis identifies areas where the underlying data and mathematical evidence are more robust than initially presented. The following sections aim to clarify these findings and offer a more precise structural framework.

== Summary of Main Arguments ==
The ages of the patriarchs in Genesis are not intended as historical records, but as a complex symbolic mathematical structure designed by ancient authors. Key points include:

* '''Artificial Mathematical Design:''' Patriarchal ages and event years are based on symbolic or &quot;perfect&quot; numbers (such as 7, 49, and 60) rather than biological or historical reality.
* '''Alignment with Sacred Cycles:''' The chronologies are designed to align significant events—such as the Exodus and the dedication of Solomon’s Temple—with specific &quot;years of the world&quot; (''Anno Mundi''), synchronizing human history with a divine calendar.
* '''The Universal Flood as a Later Insertion:''' Evidence suggests the universal scope of Noah's Flood was a later addition to a patriarchal foundation story. This insertion disrupted the original timelines, forcing recalibrations in the Masoretic Text (MT), Samaritan Pentateuch (SP), and Septuagint (LXX) to avoid chronological contradictions.
* '''Chronological Overlaps:''' In the original numerical framework (prior to recalibration for a universal flood), the mathematical structures resulted in overlaps where certain patriarchs, such as Methuselah, survived beyond the date of the Flood.

= Arichat Yamim =

Most of the patriarchs' lifespans in the Hebrew Bible far exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101).

This phenomenon is difficult to explain, as no known ancient number system features &quot;101&quot; as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle.
 
In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a &quot;perfect&quot; Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows:

*:&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
\frac{7\,\text{šar}}{2} &amp;= 3\,\text{šar}\,\,30\,\text{šūši}  \\ 
&amp;= \left(3 \times 60^2 \, \text{years} \right) + \left(30 \times 60^1 \,\text{years} \right) \\ 
&amp;= 10,800 \, \text{years} + 1,800 \, \text{years} \\
&amp;= 12,600 \, \text{years}
\end{aligned}
&lt;/math&gt;

This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60).

==== Prototype 1: Initial &quot;Mesopotamian&quot; Allocation ====

----

&lt;div style=&quot;background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;&quot;&gt;
The initial &quot;PT1&quot; framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''):

* '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49).
* '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''.
* '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920).
&lt;/div&gt;

----

==== Prototype 2: Refined &quot;Jubilee&quot; Allocation ====

----

&lt;div style=&quot;background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;&quot;&gt;
Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the &quot;Remainder&quot; to each of the two primary groups. This resulted in the &quot;PT2&quot; figures as follows:

* '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees).
* '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees).
* '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949).
&lt;/div&gt;

----

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that result in a patriarch surviving beyond the date of the Flood.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e0f2f1; border-bottom:2px solid #009688;&quot; | PROTOTYPE 1&lt;br/&gt;(PT1)
! colspan=&quot;3&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PROTOTYPE 2&lt;br/&gt;(PT2)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;82 šūši&lt;br/&gt;(4920)&lt;/div&gt;
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;45 šūši&lt;br/&gt;(2700)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;4949&lt;/div&gt;
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2727&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 912

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 905

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 910

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;37 šūši&lt;br/&gt;(2220)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2222&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 895

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 6 (360)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot;  | Methuselah
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;46 šūši&lt;br/&gt;(2760)&lt;/div&gt;
| rowspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;32 šūši&lt;br/&gt;(1920)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2702&lt;/div&gt;
| rowspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1919&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 14 (880)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 14 (840)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam
| rowspan=&quot;18&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;82 šūši&lt;br/&gt;(4920)&lt;/div&gt;
| rowspan=&quot;5&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;40 šūši&lt;br/&gt;(2400)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 16 (960)
| rowspan=&quot;18&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;4949&lt;/div&gt;
| rowspan=&quot;5&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2401&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 930

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 10 (600)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 7 (420)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Cainan (II)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 7 (420)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 433

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Eber
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;25 šūši&lt;br/&gt;(1500)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 8 (480)
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1525&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 464

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 4 (240)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 4 (240)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Serug
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 230

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 148

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Abraham
| rowspan=&quot;7&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;17 šūši&lt;br/&gt;(1020)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| rowspan=&quot;7&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1023&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 175

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Isaac
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jacob
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 147

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Levi
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kohath
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Amram
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 131

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Moses
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 120

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! style=&quot;text-align:left; color:black;&quot; | LIFESPAN&lt;br/&gt;DURATION&lt;br/&gt;SUM
| colspan=&quot;6&quot; | 210 šūši&lt;br/&gt;(12,600 years)
|}

== PT2 as the Base Model for Patriarchal Chronologies ==
The &quot;PT2&quot; chronology serves as the foundational model from which subsequent patriarchal lifespans in various textual traditions were derived. Evidence for this remains visible across nearly all biblical records, as they consistently preserve the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1).

* '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost.
* '''The Masoretic Text (MT):''' This tradition shifted 6 years from the &quot;Remainder&quot; to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block.
* '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši'''''.
* '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence.

The use of rounded Mesopotamian figures in the Armenian Eusebius Chronology suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the Septuagint's divergence indicates a later development—likely in Alexandria—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;

|+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum)
|-
! rowspan=&quot;2&quot; | Patriarch Groups
! rowspan=&quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;2&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;3&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! style=&quot;background-color:#e3f2fd;&quot; | Masoretic&lt;br/&gt;(MT)
! style=&quot;background-color:#e3f2fd;&quot; | Samaritan&lt;br/&gt;(SP)
! style=&quot;background-color:#fff3e0;&quot; | Josephus&lt;br/&gt;(94 AD)
! style=&quot;background-color:#fff3e0;&quot; | Eusebius&lt;br/&gt;(325 AD)
! style=&quot;background-color:#fff3e0;&quot; | Septuagint&lt;br/&gt;(LXX)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth to Enoch&lt;br/&gt;&lt;small&gt;(6 Patriarchs)&lt;/small&gt;
| colspan=&quot;2&quot; style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
| style=&quot;background-color:#f9f9f9;&quot; | 4834&lt;br/&gt;&lt;small&gt;(4949 - 115)&lt;/small&gt;
| colspan=&quot;3&quot; style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
|-

| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah, Lamech, Noah&lt;br/&gt;&lt;small&gt;(The Remainder)&lt;/small&gt;
| style=&quot;font-weight:bold; background-color:#f9f9f9;&quot; | 2702
| style=&quot;background-color:#f9f9f9;&quot; | 2696&lt;br/&gt;&lt;small&gt;(2702 - 6)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2323&lt;br/&gt;&lt;small&gt;(2702 - 379)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2626&lt;br/&gt;&lt;small&gt;(2702 - 76)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2642&lt;br/&gt;&lt;small&gt;(2702 - 60)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2672&lt;br/&gt;&lt;small&gt;(2702 - 30)&lt;/small&gt;
|-

| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam &amp; Shem to Moses&lt;br/&gt;&lt;small&gt;(The &quot;Second Half&quot;)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
| style=&quot;background-color:#f9f9f9;&quot; | 4955&lt;br/&gt;&lt;small&gt;(4949 + 6)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 4834&lt;br/&gt;&lt;small&gt;(4949 - 115)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | —
| style=&quot;background-color:#f9f9f9;&quot; | 5609&lt;br/&gt;&lt;small&gt;(4949 + 660)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 5930&lt;br/&gt;&lt;small&gt;(4949 + 981)&lt;/small&gt;

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:14px;&quot;
! LIFESPAN DURATION SUM
| colspan=&quot;2&quot; | 12,600
| 11,991
| —
| 13,200
| 13,551
|}
&lt;small&gt;* '''Dash (—)''' indicates where primary sources do not provide complete death data.&lt;/small&gt;

== Comparative Chronology Tables ==

The following table reconstructs lifespan values across multiple chronological traditions. While most values are derived directly from the primary source texts listed in the header, the '''Armenian Eusebius''' chronology does not explicitly record the lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that result in a patriarch surviving beyond the date of the Flood.
* &lt;span style=&quot;color:#333333;&quot;&gt;'''Blank Cells'''&lt;/span&gt; indicate where primary sources do not provide specific lifespan or death data.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! rowspan = &quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;1&quot; rowspan = &quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;2&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;3&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 912

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 905

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 910

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 895

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962
| 847
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969
| 720
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;6&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 777
| 653
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 707
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 723
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 753

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 930

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600
| rowspan=&quot;9&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438
| 538
| 535

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Cainan (II)
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —
| —
| 460

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 433
| 536
| 460

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Eber
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 464
| 404
| 567
| colspan=&quot;2&quot; | 404

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239
| colspan=&quot;2&quot; | 339

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239
| 342
| 339

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Serug
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 230
| colspan=&quot;2&quot; | 330

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 148
| 198
| 304

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205
| 145
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Abraham
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 175

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Isaac
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180
| 185
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jacob
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 147

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Levi
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137
| rowspan=&quot;3&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kohath
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Amram
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 131
| 137
| 136
| colspan=&quot;2&quot; | 132

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Moses
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 120

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! style=&quot;text-align:left; color:black;&quot; | LIFESPAN&lt;br/&gt;DURATION&lt;br/&gt;SUM
| colspan=&quot;2&quot; | 12,600
| colspan=&quot;1&quot; | 11,991
| —
| colspan=&quot;1&quot; | 13,200
| colspan=&quot;1&quot; | 13,551
|}

=== Samaritan Adjustments ===
Four of the pre-flood patriarchs—Jared, Methuselah, Lamech, and Noah—are credited with exceptionally long lives late in the chronology, which creates a potential overlap where these four patriarchs appear to survive Noah's flood. As shown in the above table, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. Other traditions do not employ this specific reduction, but all must address the issue of flood survival, as explained in later sections.

The required reduction in Jared's lifespan was '''115 years'''. Interestingly, as noted in the previous section, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the &quot;Group 1&quot; and &quot;Group 2&quot; patriarchs.

Specifically, this balance was achieved through the following adjustments:
* '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each).
* '''Amram's''' lifespan was increased by five years.

This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing.

=== Masoretic Adjustments ===

In the 2017 article, &quot;[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs],&quot; Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition:

&lt;blockquote&gt;&quot;The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)&quot;&lt;/blockquote&gt;

While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late &quot;tweak&quot; in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges:

&lt;blockquote&gt;&quot;Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above.&quot;&lt;/blockquote&gt;

==== ''Lectio Difficilior Potior'' ====
The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the &quot;harder reading is stronger&quot;) suggests that scribes tend to simplify or &quot;smooth&quot; texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life.

In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges:

* '''Year 500 (of Noah):''' Shem is born.
* '''Year 600 (of Noah):''' The Flood occurs.
* '''Year 700 (of Noah):''' Lamech dies.

This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a &quot;compressed chronology&quot; (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (53, 653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''183 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate &quot;balancing&quot; of total chronological years.

=== Armenian Eusebius Adjustments ===
Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 220 ''šūši'' (or 10 ''šūši'' more than the Masoretic Text). Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system.

Specifically, the following adjustments appear to have occurred for Group 2 patriarchs:
* '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years.
* '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years.
* '''Nahor''' had his lifespan increased by 50 years.
* '''Amram''' had his lifespan increased by 1 year.

The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''.

= It All Started With Grain =

[[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]]

The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the [https://www.biblicalarchaeology.org/daily/news/ancient-bread-jordan/ Black Desert of Jordan]. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops.

The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the &quot;firstfruits of your harvest&quot; (referring to barley) before the Lord:

&lt;blockquote&gt;&quot;then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord&quot;&lt;/blockquote&gt;

To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues:

&lt;blockquote&gt;&quot;And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord.&quot;&lt;/blockquote&gt;

[[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]]

These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the &quot;better things&quot; and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.

This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: 

&lt;blockquote&gt;&quot;And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye &lt;small&gt;(likely emmer wheat or spelt)&lt;/small&gt; were not smitten: for they were not grown up.&quot;&lt;/blockquote&gt;

This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. 

The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest).

=== The Mathematical Structure of Jubilees ===

The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of &quot;weeks&quot;:

* '''Week of Years:''' 7&lt;sup&gt;1&lt;/sup&gt; = 7 years
* '''Jubilee of Years:''' 7&lt;sup&gt;2&lt;/sup&gt; = 49 years
* '''Week of Jubilees:''' 7&lt;sup&gt;3&lt;/sup&gt; = 343 years
* '''Jubilee of Jubilees:''' 7&lt;sup&gt;4&lt;/sup&gt; = 2,401 years

The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land.

[[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]]

The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested &quot;Jubilee of Jubilees&quot; (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle.

* The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year.
* The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years.
* The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid.
* The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs.

== The Birth of Shem (A Digression) ==
Were Noah's sons born when Noah was 500 or 502?

==== The 502 Calculation ====
While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that &quot;Noah was 500 years old, and Noah begat Shem, Ham, and Japheth,&quot; this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: 
# Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). 
# Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10])

'''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples.

==== Competing Narratives ====
According to the Book of Jubilees 4:33, Shem was the oldest son, born in Noah's 500&lt;sup&gt;th&lt;/sup&gt; year, followed by Ham in the 502&lt;sup&gt;nd&lt;/sup&gt; year, and Japheth in the 505&lt;sup&gt;th&lt;/sup&gt;. This seems to be in contradiction with the Genesis narrative which places Shem as the second son in year 502.

==== ''Lectio Difficilior Potior'' ====

The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the harder reading is stronger) suggests that scribes tend to simplify or &quot;smooth&quot; texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life.

In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28%7Cversion=SPE Lamech’s 53rd year]. If we combine that with the 500-year figure for Noah's age at the birth of his sons and the [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB Septuagint figure of 753] for Lamech's death, a suspiciously neat pattern emerges:

* '''Year 500 (of Noah):''' Shem is born.
* '''Year 600 (of Noah):''' The Flood occurs.
* '''Year 700 (of Noah):''' Lamech dies.

This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a &quot;compressed chronology&quot; (500–600–700) is a hallmark of editorial smoothing—likely values adjusted during the introduction of the universal flood narrative to create a more &quot;perfect&quot; structure.

Applying ''Lectio Difficilior'', we can reasonably set aside the figures 53, 500, and 753 as being &quot;too structured to be true,&quot; shifting our focus to less symmetrical values such as '''502''' for Shem's birth.

== The Mathematical relationship between 40 and 49 ==

As noted previously, the ''Jubilees'' author envisions early Hebraic history within a &quot;Jubilee of Jubilees&quot; fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows:

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 (7-3)(7+3) &amp;=  7^2 - 3^2 \\
 &amp;= 49 - 9 \\
 &amp;= 40
\end{aligned}
&lt;/math&gt;

The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40.

[[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] 

Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years):

[[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]]

&lt;div style=&quot;line-height: 1.5;&quot;&gt;
* '''Book of Jubilees (Adam to Canaan)'''
** Pre-Flood Patriarch years:
*:&lt;math display=&quot;block&quot;&gt;\frac{7^4 - 1}{2} + 3^2 = 1200 + 9 = 1209&lt;/math&gt;
** Post-Flood Patriarch years:
*:&lt;math display=&quot;block&quot;&gt;\frac{7^4 + 1}{2} + (7^2 - 3^2) = 1201 + 40 = 1241&lt;/math&gt;
** Total Years:
*:&lt;math display=&quot;block&quot;&gt;7^4 + 7^2 = 2401 + 49 = 2450&lt;/math&gt;
&lt;/div&gt;

== The Samaritan Pentateuch Connection ==
Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition.

[[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]]

=== Determining Chronological Priority ===
A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem is born in year 1207 (reconstructed as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 &quot;Jubilee of Jubilees.&quot;

This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's &quot;pivot&quot; position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment.

=== The 350-Year Symmetrical Extension ===
Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a &quot;week of Jubilees&quot; (343 years) plus a &quot;week of years&quot; (7 years).

&lt;div style=&quot;line-height: 1.5;&quot;&gt;
* '''Book of Jubilees (Adam to Canaan):'''
:&lt;math display=&quot;block&quot;&gt;7^4 + 7^2 = 2401 + 49 = 2450 \text{ years}&lt;/math&gt;

* '''Samaritan Pentateuch (Adam to Conquest):'''
:&lt;math display=&quot;block&quot;&gt;\begin{aligned} \text{(Base 49): } &amp; 7^4 + 7^3 + 7^2 + 7^1 = 2401 + 343 + 49 + 7 = 2800 \\ \text{(Base 40): } &amp; 70 \times 40 = 2800 \end{aligned}&lt;/math&gt;
&lt;/div&gt;

=== Mathematical Structure of the Early Samaritan Chronology ===
To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each):

* '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''.
* '''The second cluster''' represents a second millennium.
* '''The final set''' contains 20 blocks (4x5), representing '''800 years'''.

Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record.


[[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]]

== Living in the Rough ==

[[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]]

As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a &quot;generation&quot;) are less clear, but the number is consistently associated with &quot;living in the rough&quot;—periods of trial, transition, or exile away from the comforts of civilization. 

Examples of this pattern include:
* '''Noah''' lived within the ark for 40 days while the rain fell; 
* '''Israel''' wandered in the wilderness for 40 years; 
* '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. 

Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era.

Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the &quot;civilized&quot; city.

In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means &quot;supplanter&quot;—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a &quot;skillful hunter&quot; and a &quot;man of the field,&quot; while Jacob is &quot;dwelling in tents&quot; and cooking &quot;lentil stew.&quot;

The text draws a clear parallel between these two sets of brothers:
* In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. 
* In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this &quot;clever&quot; intervention, Jacob successfully secures the favor that Cain could not.

Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. 

This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the &quot;rough&quot; of the wilderness.

Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three &quot;generations&quot; (3 x 40).

The relationship between these two &quot;three-fold&quot; lifespans can be expressed by the same nine-year offset identified in the Shem chronology:

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 49 - 9 &amp;= 40 \\
 3(49 - 9) &amp;= 3(40) \\
 147 - 27 &amp;= 120
\end{aligned}
&lt;/math&gt;

[[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] 

Samaritan tradition maintains a unique cultural link to the &quot;pastoralist&quot; ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the &quot;grain-based&quot; agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to &quot;wilderness living,&quot; the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit.

=== A narrative foil for Joshua ===
As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a &quot;foil&quot; for Jacob: Moses lived exactly three &quot;generations&quot; (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization.

This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding &quot;foil&quot; to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam?

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 49 - 9 &amp;= 40 \\
 70(49 - 9) &amp;= 70(40) \\
 3,430 - 630 &amp;= 2,800
\end{aligned}
&lt;/math&gt;

Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific &quot;foil&quot; to Joshua existed in the original architect's mind.

The Samaritans do maintain a continuous, running calendar. However, this system uses a &quot;Conquest Era&quot; epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. For instance, at that time, the [[w:Hyksos|Hyksos]] were only beginning to establish control over Lower Egypt. Furthermore, the [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC.

There is, however, one more possibility to consider: what if the &quot;irreconcilable&quot; nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent &quot;foil&quot; event occurred exactly 3,430 years after Creation? 

As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare &quot;smoking gun&quot; for the artificial design of the chronology.

=== A Mystery Solved ===
In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest.

The significant milestones in this timeline include:
* '''Year 1''': &quot;This year the world and Adam were created.&quot; 
* '''Year 2801''': &quot;The first year of Israel's rule in the land of Canaan.&quot; 
* '''Year 3423''': &quot;The commencement of the kingdom of Solomon.&quot;

According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological &quot;anchor&quot; was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself.

In Creation Year 2800—marking exactly 70 &quot;generations&quot; of 40 years—God entered Canaan in a tent, embodying the &quot;living rough&quot; wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 &quot;Jubilees&quot; of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70&lt;sup&gt;th&lt;/sup&gt; generation to the 70&lt;sup&gt;th&lt;/sup&gt; Jubilee:

:&lt;math&gt;70 \times 40 + (70 \times 9) = 70 \times 49&lt;/math&gt;

=== Mathematical Structure of the Later Samaritan Chronology ===
The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years:

* '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation.
* '''The second cluster''' spans years '''3,000 to 4,000''' after Creation.
* '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation.

The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year &quot;Tabernacle&quot; era''', which is composed of:
* The 40 years of wandering in the wilderness;
* The 6 years of the initial conquest;
* The 630 years between the conquest and the completion of Solomon’s Temple.

Following the '''676-year &quot;Tabernacle&quot; era''' is a '''400-year &quot;First Temple&quot; era''' and a '''70-year &quot;Exile&quot; era''' as detailed in the historical breakdown below.

[[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]]

The Book of Daniel states: &quot;In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it&quot; (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''.

The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure.

High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. 

Using this synchronization, other significant milestones are mapped as follows:
* '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''.
* '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''.
* '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''.

High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year &quot;Second Temple Persian Era&quot; (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. 

The remainder of the diagram represents a 300-year &quot;Second Temple Hellenistic Era,&quot; which concludes in '''Creation Year 4400''' (30 BC).

=== Competing Temples ===
There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year &quot;Second Temple Persian Era&quot; (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework.

According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple:

&lt;blockquote&gt;&quot;But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel&quot; (Ezra 4:3).&lt;/blockquote&gt;

After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population.

[[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]]

This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC.

= The Rise of Zadok =
The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years:

* '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation.
* '''The second cluster''' spans years '''3,000 to 4,000''' after Creation.
* '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation.

The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section.  Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness.  To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event.

[[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]]

The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000.

= Hellenized Jews =
Hellenized Jews were
ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint.
= Start TBD =

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! rowspan = &quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;1&quot; rowspan = &quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962 &lt;br/&gt; &lt;small&gt;(847)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(847)&lt;/small&gt;
| 962 &lt;br/&gt; &lt;small&gt;(1196)&lt;/small&gt;
| 847 &lt;br/&gt; &lt;small&gt;(847)&lt;/small&gt;
| 962 &lt;br/&gt; &lt;small&gt;(1302)&lt;/small&gt;
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962 &lt;br/&gt; &lt;small&gt;(1282)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(1282)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(1302)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(1304)&lt;/small&gt;

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;10&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969 &lt;br/&gt; &lt;small&gt;(721)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(721)&lt;/small&gt;
| 969 &lt;br/&gt; &lt;small&gt;(969)&lt;/small&gt;
| 720 &lt;br/&gt; &lt;small&gt;(720)&lt;/small&gt;
| 969 &lt;br/&gt; &lt;small&gt;(975)&lt;/small&gt;
| colspan=&quot;2&quot; | 969 &lt;br/&gt; &lt;small&gt;(955)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(955)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(975)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(977)&lt;/small&gt;

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 777
| 653
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 707
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 723
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 753

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;6&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600
| rowspan=&quot;9&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438
| 538
| 535

|}

= End TBD =

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that could result in patriarchs surviving beyond the date of the Flood.
* &lt;span style=&quot;color:#333333;&quot;&gt;'''Blank Cells'''&lt;/span&gt; indicate where primary sources do not provide specific lifespan or death data.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;&quot;
|+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son)

|-
! rowspan=&quot;2&quot; colspan=&quot;1&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Adam
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 130
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 230

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Seth
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 105
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 205

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 90
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 190

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 70
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 170

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 66
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | 65
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 165

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 61
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 162
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 62
| colspan=&quot;6&quot; style=&quot;background-color:#f9f9f9;&quot; | 162

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 65
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 165

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 65
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 187
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 67
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 167 / 187
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 167
| colspan=&quot;2&quot; style=&quot;background-color:#f9f9f9;&quot; | 187

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 55
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 182
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 53
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 182 / 188
| colspan=&quot;5&quot; style=&quot;background-color:#f9f9f9;&quot; | 188

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;9&quot; style=&quot;background-color:#e8e8e8;&quot; | 500 .. 502

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot; style=&quot;text-align:left; color:black;&quot; | Pre-Flood TOTAL
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 1556
| colspan=&quot;1&quot; | 1209
| colspan=&quot;3&quot; | Varied
| colspan=&quot;1&quot; | 2142
| colspan=&quot;1&quot; | 2162
| colspan=&quot;1&quot; | 2164
|}

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;&quot;

|+ Comparison of Post-Flood Chronological Traditions (Age at birth of son)
|-
! colspan=&quot;1&quot; rowspan=&quot;2&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot;  style=&quot;text-align:left; color:black;&quot; | Pre-Flood
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 1556
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 2164
| colspan=&quot;1&quot; | 2162
| colspan=&quot;1&quot; | 2142
| colspan=&quot;3&quot; | Varied

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 100
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 112

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Arphaxad
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 66
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 35
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 135

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Cainan II
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 57
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 130
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 130
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 71
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Eber
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 64
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 34
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 134

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 61
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 59
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 32
| colspan=&quot;5&quot; style=&quot;background-color:#e8e8e8;&quot; | 132
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 135
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Serug	
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 57
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 130
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 132

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 62
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 29
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 79
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 75
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 79 / 179
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 79
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 120

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;9&quot; style=&quot;background-color:#e8e8e8;&quot; | 70

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Abram
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 78
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 75

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Canaan
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 218
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 215

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Egypt
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 238
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 430
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 215
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 430
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 215
|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Sinai +/-
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 40
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | -
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 46
| colspan=&quot;4&quot; style=&quot;background-color:#e8e8e8;&quot; | 40

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot; style=&quot;text-align:left; color:black;&quot; | GRAND TOTAL
| colspan=&quot;1&quot; | 2450
| colspan=&quot;1&quot; | 2666
| colspan=&quot;1&quot; | 2800
| colspan=&quot;1&quot; | 3885
| colspan=&quot;1&quot; | 3754
| colspan=&quot;1&quot; | 3938
| colspan=&quot;3&quot; | Varied
|}

== The Septuagint Chronology ==

While the chronologies of the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' are anchored in Levant-based agricultural cycles and the symbolic interplay of the numbers 40 and 49, the Septuagint (LXX) appears to have been structured around a different set of priorities. Specifically, the LXX's chronological framework seems designed to resolve a significant textual difficulty: the mathematical anomaly of patriarchs potentially outliving the Flood. In the 2017 article, ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', author Paul D. makes the following statement regarding the Septuagint:

&lt;blockquote&gt;“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”&lt;/blockquote&gt;

While Paul D.’s &quot;Whoops Theory&quot; suggests the LXX editor intended to &quot;fix&quot; the timeline but failed in the case of Methuselah, this interpretation potentially overlooks the systemic nature of the changes. If an editor is methodical enough to systematically alter multiple generations by exactly one hundred years, a single &quot;failure&quot; to fix Methuselah could suggest the avoidance of a post-Flood death was not the primary objective.

Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': 

&lt;blockquote&gt;&quot;Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years.&quot;&lt;/blockquote&gt; 

This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development.

=== Demetrius the Chronographer ===
Demetrius the Chronographer, writing as early as the late 3rd century BC (c. 221 BC), represents the earliest known witness to biblical chronological calculations. While only fragments of his work remain, they are significant; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. This presumably places the birth of Shem at 2,164 years—exactly one hundred years before the Flood—aligning his data with the &quot;Long Chronology&quot; of the Septuagint.

In the comment section of the original article, in response to evidence regarding this longer tradition (provided by commenter Roger Quill), Paul D. reaffirms his &quot;Whoops Theory&quot; by challenging the validity of various witnesses to the 187-year begettal age of Methuselah. In this view, Codex Alexandrinus is seen as the lone legitimate witness, while others are discounted: 

* '''Josephus:''' Characterized as dependent on the Masoretic tradition.
* '''Pseudo-Philo:''' Dismissed due to textual corruption (&quot;a real mess&quot;).
* '''Julius Africanus:''' Questioned because his records survive only through the later intermediary, Syncellus.
* '''Demetrius:''' Rejected as a witness because his chronology contains an additional 22 years (rather than the typical 20-year variance) whose precise placement remains unknown.

The claim that Julius Africanus is invalidated due to his survival through an intermediary, or that Demetrius is disqualified by a 22-year variance, is arguably overstated. A plausible explanation for the discrepancy in Demetrius's chronology is the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can easily account for such variances without necessitating the rejection of the witnesses.

=== The Correlations ===
An interesting piece of corroborating evidence exists in the previously mentioned 1864 publication by Rev. John Mills, ''Three Months' Residence at Nablus'', where High Priest Amram records his own chronological dates based on the Samaritan Pentateuch. Priest Amram lists the Flood date as 1307 years after creation, but then lists the birth of Arphaxad as 1309 years—exactly two years after the Flood—which presumably places Shem's birth in year 502 of Noah's life (though Shem's actual birth date in the text is obscured by a typo).

The internal tension in Priest Amram's calculations likely reflects the same two-year variance seen between Demetrius and Africanus. Priest Amram lists the birth years of Shelah, Eber, and Peleg as 1444, 1574, and 1708, respectively. Africanus lists those same birth years as 2397, 2527, and 2661. In each case, the Priest Amram figure differs from the Africanus value by exactly 953 years. While the chronology of Africanus may reach us through an intermediary, as Paul D. notes, the values provided by both Demetrius and Africanus are precisely what one would anticipate to resolve the &quot;Universal Flood&quot; problem.


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      <text bytes="87123" sha1="8tm08chjnpw0zkol9o0lomgq80jxjz3" xml:space="preserve">{{Original research}}
This page evaluates and extends the mathematical insights presented in the 2017 article, ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'' by Paul D. While the original article provides a compelling foundation, this analysis identifies areas where the underlying data and mathematical evidence are more robust than initially presented. The following sections aim to clarify these findings and offer a more precise structural framework.

== Summary of Main Arguments ==
The ages of the patriarchs in Genesis are not intended as historical records, but as a complex symbolic mathematical structure designed by ancient authors. Key points include:

* '''Artificial Mathematical Design:''' Patriarchal ages and event years are based on symbolic or &quot;perfect&quot; numbers (such as 7, 49, and 60) rather than biological or historical reality.
* '''Alignment with Sacred Cycles:''' The chronologies are designed to align significant events—such as the Exodus and the dedication of Solomon’s Temple—with specific &quot;years of the world&quot; (''Anno Mundi''), synchronizing human history with a divine calendar.
* '''The Universal Flood as a Later Insertion:''' Evidence suggests the universal scope of Noah's Flood was a later addition to a patriarchal foundation story. This insertion disrupted the original timelines, forcing recalibrations in the Masoretic Text (MT), Samaritan Pentateuch (SP), and Septuagint (LXX) to avoid chronological contradictions.
* '''Chronological Overlaps:''' In the original numerical framework (prior to recalibration for a universal flood), the mathematical structures resulted in overlaps where certain patriarchs, such as Methuselah, survived beyond the date of the Flood.

= Arichat Yamim =

Most of the patriarchs' lifespans in the Hebrew Bible far exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101).

This phenomenon is difficult to explain, as no known ancient number system features &quot;101&quot; as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle.
 
In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a &quot;perfect&quot; Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows:

*:&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
\frac{7\,\text{šar}}{2} &amp;= 3\,\text{šar}\,\,30\,\text{šūši}  \\ 
&amp;= \left(3 \times 60^2 \, \text{years} \right) + \left(30 \times 60^1 \,\text{years} \right) \\ 
&amp;= 10,800 \, \text{years} + 1,800 \, \text{years} \\
&amp;= 12,600 \, \text{years}
\end{aligned}
&lt;/math&gt;

This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60).

==== Prototype 1: Initial &quot;Mesopotamian&quot; Allocation ====

----

&lt;div style=&quot;background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;&quot;&gt;
The initial &quot;PT1&quot; framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''):

* '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49).
* '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''.
* '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920).
&lt;/div&gt;

----

==== Prototype 2: Refined &quot;Jubilee&quot; Allocation ====

----

&lt;div style=&quot;background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;&quot;&gt;
Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the &quot;Remainder&quot; to each of the two primary groups. This resulted in the &quot;PT2&quot; figures as follows:

* '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees).
* '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees).
* '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949).
&lt;/div&gt;

----

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that result in a patriarch surviving beyond the date of the Flood.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e0f2f1; border-bottom:2px solid #009688;&quot; | PROTOTYPE 1&lt;br/&gt;(PT1)
! colspan=&quot;3&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PROTOTYPE 2&lt;br/&gt;(PT2)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;82 šūši&lt;br/&gt;(4920)&lt;/div&gt;
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;45 šūši&lt;br/&gt;(2700)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;4949&lt;/div&gt;
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2727&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 912

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 905

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 910

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;37 šūši&lt;br/&gt;(2220)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2222&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 895

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 6 (360)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot;  | Methuselah
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;46 šūši&lt;br/&gt;(2760)&lt;/div&gt;
| rowspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;32 šūši&lt;br/&gt;(1920)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2702&lt;/div&gt;
| rowspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1919&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 14 (880)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 14 (840)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam
| rowspan=&quot;18&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;82 šūši&lt;br/&gt;(4920)&lt;/div&gt;
| rowspan=&quot;5&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;40 šūši&lt;br/&gt;(2400)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 16 (960)
| rowspan=&quot;18&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;4949&lt;/div&gt;
| rowspan=&quot;5&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2401&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 930

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 10 (600)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 7 (420)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Cainan (II)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 7 (420)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 433

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Eber
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;25 šūši&lt;br/&gt;(1500)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 8 (480)
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1525&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 464

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 4 (240)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 4 (240)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Serug
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 230

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 148

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Abraham
| rowspan=&quot;7&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;17 šūši&lt;br/&gt;(1020)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| rowspan=&quot;7&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1023&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 175

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Isaac
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jacob
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 147

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Levi
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kohath
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Amram
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 131

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Moses
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 120

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! style=&quot;text-align:left; color:black;&quot; | LIFESPAN&lt;br/&gt;DURATION&lt;br/&gt;SUM
| colspan=&quot;6&quot; | 210 šūši&lt;br/&gt;(12,600 years)
|}

== PT2 as the Base Model for Patriarchal Chronologies ==
The &quot;PT2&quot; chronology serves as the foundational model from which subsequent patriarchal lifespans in various textual traditions were derived. Evidence for this remains visible across nearly all biblical records, as they consistently preserve the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1).

* '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost.
* '''The Masoretic Text (MT):''' This tradition shifted 6 years from the &quot;Remainder&quot; to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block.
* '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši'''''.
* '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence.

The use of rounded Mesopotamian figures in the Armenian Eusebius Chronology suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the Septuagint's divergence indicates a later development—likely in Alexandria—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;

|+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum)
|-
! rowspan=&quot;2&quot; | Patriarch Groups
! rowspan=&quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;2&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;3&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! style=&quot;background-color:#e3f2fd;&quot; | Masoretic&lt;br/&gt;(MT)
! style=&quot;background-color:#e3f2fd;&quot; | Samaritan&lt;br/&gt;(SP)
! style=&quot;background-color:#fff3e0;&quot; | Josephus&lt;br/&gt;(94 AD)
! style=&quot;background-color:#fff3e0;&quot; | Eusebius&lt;br/&gt;(325 AD)
! style=&quot;background-color:#fff3e0;&quot; | Septuagint&lt;br/&gt;(LXX)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth to Enoch&lt;br/&gt;&lt;small&gt;(6 Patriarchs)&lt;/small&gt;
| colspan=&quot;2&quot; style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
| style=&quot;background-color:#f9f9f9;&quot; | 4834&lt;br/&gt;&lt;small&gt;(4949 - 115)&lt;/small&gt;
| colspan=&quot;3&quot; style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
|-

| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah, Lamech, Noah&lt;br/&gt;&lt;small&gt;(The Remainder)&lt;/small&gt;
| style=&quot;font-weight:bold; background-color:#f9f9f9;&quot; | 2702
| style=&quot;background-color:#f9f9f9;&quot; | 2696&lt;br/&gt;&lt;small&gt;(2702 - 6)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2323&lt;br/&gt;&lt;small&gt;(2702 - 379)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2626&lt;br/&gt;&lt;small&gt;(2702 - 76)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2642&lt;br/&gt;&lt;small&gt;(2702 - 60)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2672&lt;br/&gt;&lt;small&gt;(2702 - 30)&lt;/small&gt;
|-

| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam &amp; Shem to Moses&lt;br/&gt;&lt;small&gt;(The &quot;Second Half&quot;)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
| style=&quot;background-color:#f9f9f9;&quot; | 4955&lt;br/&gt;&lt;small&gt;(4949 + 6)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 4834&lt;br/&gt;&lt;small&gt;(4949 - 115)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | —
| style=&quot;background-color:#f9f9f9;&quot; | 5609&lt;br/&gt;&lt;small&gt;(4949 + 660)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 5930&lt;br/&gt;&lt;small&gt;(4949 + 981)&lt;/small&gt;

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:14px;&quot;
! LIFESPAN DURATION SUM
| colspan=&quot;2&quot; | 12,600
| 11,991
| —
| 13,200
| 13,551
|}
&lt;small&gt;* '''Dash (—)''' indicates where primary sources do not provide complete death data.&lt;/small&gt;

== Comparative Chronology Tables ==

The following table reconstructs lifespan values across multiple chronological traditions. While most values are derived directly from the primary source texts listed in the header, the '''Armenian Eusebius''' chronology does not explicitly record the lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that result in a patriarch surviving beyond the date of the Flood.
* &lt;span style=&quot;color:#333333;&quot;&gt;'''Blank Cells'''&lt;/span&gt; indicate where primary sources do not provide specific lifespan or death data.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! rowspan = &quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;1&quot; rowspan = &quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;2&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;3&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 912

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 905

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 910

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 895

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962
| 847
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969
| 720
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;6&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 777
| 653
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 707
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 723
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 753

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 930

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600
| rowspan=&quot;9&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438
| 538
| 535

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Cainan (II)
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —
| —
| 460

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 433
| 536
| 460

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Eber
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 464
| 404
| 567
| colspan=&quot;2&quot; | 404

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239
| colspan=&quot;2&quot; | 339

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239
| 342
| 339

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Serug
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 230
| colspan=&quot;2&quot; | 330

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 148
| 198
| 304

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205
| 145
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Abraham
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 175

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Isaac
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180
| 185
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jacob
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 147

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Levi
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137
| rowspan=&quot;3&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kohath
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Amram
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 131
| 137
| 136
| colspan=&quot;2&quot; | 132

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Moses
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 120

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! style=&quot;text-align:left; color:black;&quot; | LIFESPAN&lt;br/&gt;DURATION&lt;br/&gt;SUM
| colspan=&quot;2&quot; | 12,600
| colspan=&quot;1&quot; | 11,991
| —
| colspan=&quot;1&quot; | 13,200
| colspan=&quot;1&quot; | 13,551
|}

=== Samaritan Adjustments ===
Four of the pre-flood patriarchs—Jared, Methuselah, Lamech, and Noah—are credited with exceptionally long lives late in the chronology, which creates a potential overlap where these four patriarchs appear to survive Noah's flood. As shown in the above table, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. Other traditions do not employ this specific reduction, but all must address the issue of flood survival, as explained in later sections.

The required reduction in Jared's lifespan was '''115 years'''. Interestingly, as noted in the previous section, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the &quot;Group 1&quot; and &quot;Group 2&quot; patriarchs.

Specifically, this balance was achieved through the following adjustments:
* '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each).
* '''Amram's''' lifespan was increased by five years.

This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing.

=== Masoretic Adjustments ===

In the 2017 article, &quot;[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs],&quot; Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition:

&lt;blockquote&gt;&quot;The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)&quot;&lt;/blockquote&gt;

While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late &quot;tweak&quot; in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges:

&lt;blockquote&gt;&quot;Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above.&quot;&lt;/blockquote&gt;

==== ''Lectio Difficilior Potior'' ====
The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the &quot;harder reading is stronger&quot;) suggests that scribes tend to simplify or &quot;smooth&quot; texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life.

In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges:

* '''Year 500 (of Noah):''' Shem is born.
* '''Year 600 (of Noah):''' The Flood occurs.
* '''Year 700 (of Noah):''' Lamech dies.

This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a &quot;compressed chronology&quot; (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (53, 653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''183 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate &quot;balancing&quot; of total chronological years.

=== Armenian Eusebius Adjustments ===
Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 220 ''šūši'' (or 10 ''šūši'' more than the Masoretic Text). Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system.

Specifically, the following adjustments appear to have occurred for Group 2 patriarchs:
* '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years.
* '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years.
* '''Nahor''' had his lifespan increased by 50 years.
* '''Amram''' had his lifespan increased by 1 year.

The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''.

= It All Started With Grain =

[[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]]

The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the [https://www.biblicalarchaeology.org/daily/news/ancient-bread-jordan/ Black Desert of Jordan]. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops.

The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the &quot;firstfruits of your harvest&quot; (referring to barley) before the Lord:

&lt;blockquote&gt;&quot;then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord&quot;&lt;/blockquote&gt;

To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues:

&lt;blockquote&gt;&quot;And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord.&quot;&lt;/blockquote&gt;

[[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]]

These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the &quot;better things&quot; and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.

This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: 

&lt;blockquote&gt;&quot;And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye &lt;small&gt;(likely emmer wheat or spelt)&lt;/small&gt; were not smitten: for they were not grown up.&quot;&lt;/blockquote&gt;

This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. 

The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest).

=== The Mathematical Structure of Jubilees ===

The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of &quot;weeks&quot;:

* '''Week of Years:''' 7&lt;sup&gt;1&lt;/sup&gt; = 7 years
* '''Jubilee of Years:''' 7&lt;sup&gt;2&lt;/sup&gt; = 49 years
* '''Week of Jubilees:''' 7&lt;sup&gt;3&lt;/sup&gt; = 343 years
* '''Jubilee of Jubilees:''' 7&lt;sup&gt;4&lt;/sup&gt; = 2,401 years

The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land.

[[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]]

The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested &quot;Jubilee of Jubilees&quot; (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle.

* The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year.
* The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years.
* The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid.
* The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs.

== The Birth of Shem (A Digression) ==
Were Noah's sons born when Noah was 500 or 502?

==== The 502 Calculation ====
While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that &quot;Noah was 500 years old, and Noah begat Shem, Ham, and Japheth,&quot; this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: 
# Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). 
# Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10])

'''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples.

==== Competing Narratives ====
According to the Book of Jubilees 4:33, Shem was the oldest son, born in Noah's 500&lt;sup&gt;th&lt;/sup&gt; year, followed by Ham in the 502&lt;sup&gt;nd&lt;/sup&gt; year, and Japheth in the 505&lt;sup&gt;th&lt;/sup&gt;. This seems to be in contradiction with the Genesis narrative which places Shem as the second son in year 502.

==== ''Lectio Difficilior Potior'' ====

The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the harder reading is stronger) suggests that scribes tend to simplify or &quot;smooth&quot; texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life.

In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28%7Cversion=SPE Lamech’s 53rd year]. If we combine that with the 500-year figure for Noah's age at the birth of his sons and the [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB Septuagint figure of 753] for Lamech's death, a suspiciously neat pattern emerges:

* '''Year 500 (of Noah):''' Shem is born.
* '''Year 600 (of Noah):''' The Flood occurs.
* '''Year 700 (of Noah):''' Lamech dies.

This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a &quot;compressed chronology&quot; (500–600–700) is a hallmark of editorial smoothing—likely values adjusted during the introduction of the universal flood narrative to create a more &quot;perfect&quot; structure.

Applying ''Lectio Difficilior'', we can reasonably set aside the figures 53, 500, and 753 as being &quot;too structured to be true,&quot; shifting our focus to less symmetrical values such as '''502''' for Shem's birth.

== The Mathematical relationship between 40 and 49 ==

As noted previously, the ''Jubilees'' author envisions early Hebraic history within a &quot;Jubilee of Jubilees&quot; fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows:

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 (7-3)(7+3) &amp;=  7^2 - 3^2 \\
 &amp;= 49 - 9 \\
 &amp;= 40
\end{aligned}
&lt;/math&gt;

The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40.

[[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] 

Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years):

[[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]]

&lt;div style=&quot;line-height: 1.5;&quot;&gt;
* '''Book of Jubilees (Adam to Canaan)'''
** Pre-Flood Patriarch years:
*:&lt;math display=&quot;block&quot;&gt;\frac{7^4 - 1}{2} + 3^2 = 1200 + 9 = 1209&lt;/math&gt;
** Post-Flood Patriarch years:
*:&lt;math display=&quot;block&quot;&gt;\frac{7^4 + 1}{2} + (7^2 - 3^2) = 1201 + 40 = 1241&lt;/math&gt;
** Total Years:
*:&lt;math display=&quot;block&quot;&gt;7^4 + 7^2 = 2401 + 49 = 2450&lt;/math&gt;
&lt;/div&gt;

== The Samaritan Pentateuch Connection ==
Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition.

[[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]]

=== Determining Chronological Priority ===
A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem is born in year 1207 (reconstructed as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 &quot;Jubilee of Jubilees.&quot;

This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's &quot;pivot&quot; position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment.

=== The 350-Year Symmetrical Extension ===
Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a &quot;week of Jubilees&quot; (343 years) plus a &quot;week of years&quot; (7 years).

&lt;div style=&quot;line-height: 1.5;&quot;&gt;
* '''Book of Jubilees (Adam to Canaan):'''
:&lt;math display=&quot;block&quot;&gt;7^4 + 7^2 = 2401 + 49 = 2450 \text{ years}&lt;/math&gt;

* '''Samaritan Pentateuch (Adam to Conquest):'''
:&lt;math display=&quot;block&quot;&gt;\begin{aligned} \text{(Base 49): } &amp; 7^4 + 7^3 + 7^2 + 7^1 = 2401 + 343 + 49 + 7 = 2800 \\ \text{(Base 40): } &amp; 70 \times 40 = 2800 \end{aligned}&lt;/math&gt;
&lt;/div&gt;

=== Mathematical Structure of the Early Samaritan Chronology ===
To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each):

* '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''.
* '''The second cluster''' represents a second millennium.
* '''The final set''' contains 20 blocks (4x5), representing '''800 years'''.

Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record.


[[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]]

== Living in the Rough ==

[[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]]

As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a &quot;generation&quot;) are less clear, but the number is consistently associated with &quot;living in the rough&quot;—periods of trial, transition, or exile away from the comforts of civilization. 

Examples of this pattern include:
* '''Noah''' lived within the ark for 40 days while the rain fell; 
* '''Israel''' wandered in the wilderness for 40 years; 
* '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. 

Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era.

Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the &quot;civilized&quot; city.

In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means &quot;supplanter&quot;—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a &quot;skillful hunter&quot; and a &quot;man of the field,&quot; while Jacob is &quot;dwelling in tents&quot; and cooking &quot;lentil stew.&quot;

The text draws a clear parallel between these two sets of brothers:
* In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. 
* In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this &quot;clever&quot; intervention, Jacob successfully secures the favor that Cain could not.

Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. 

This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the &quot;rough&quot; of the wilderness.

Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three &quot;generations&quot; (3 x 40).

The relationship between these two &quot;three-fold&quot; lifespans can be expressed by the same nine-year offset identified in the Shem chronology:

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 49 - 9 &amp;= 40 \\
 3(49 - 9) &amp;= 3(40) \\
 147 - 27 &amp;= 120
\end{aligned}
&lt;/math&gt;

[[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] 

Samaritan tradition maintains a unique cultural link to the &quot;pastoralist&quot; ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the &quot;grain-based&quot; agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to &quot;wilderness living,&quot; the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit.

=== A narrative foil for Joshua ===
As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a &quot;foil&quot; for Jacob: Moses lived exactly three &quot;generations&quot; (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization.

This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding &quot;foil&quot; to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam?

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 49 - 9 &amp;= 40 \\
 70(49 - 9) &amp;= 70(40) \\
 3,430 - 630 &amp;= 2,800
\end{aligned}
&lt;/math&gt;

Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific &quot;foil&quot; to Joshua existed in the original architect's mind.

The Samaritans do maintain a continuous, running calendar. However, this system uses a &quot;Conquest Era&quot; epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. For instance, at that time, the [[w:Hyksos|Hyksos]] were only beginning to establish control over Lower Egypt. Furthermore, the [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC.

There is, however, one more possibility to consider: what if the &quot;irreconcilable&quot; nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent &quot;foil&quot; event occurred exactly 3,430 years after Creation? 

As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare &quot;smoking gun&quot; for the artificial design of the chronology.

=== A Mystery Solved ===
In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest.

The significant milestones in this timeline include:
* '''Year 1''': &quot;This year the world and Adam were created.&quot; 
* '''Year 2801''': &quot;The first year of Israel's rule in the land of Canaan.&quot; 
* '''Year 3423''': &quot;The commencement of the kingdom of Solomon.&quot;

According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological &quot;anchor&quot; was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself.

In Creation Year 2800—marking exactly 70 &quot;generations&quot; of 40 years—God entered Canaan in a tent, embodying the &quot;living rough&quot; wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 &quot;Jubilees&quot; of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70&lt;sup&gt;th&lt;/sup&gt; generation to the 70&lt;sup&gt;th&lt;/sup&gt; Jubilee:

:&lt;math&gt;70 \times 40 + (70 \times 9) = 70 \times 49&lt;/math&gt;

=== Mathematical Structure of the Later Samaritan Chronology ===
The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years:

* '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation.
* '''The second cluster''' spans years '''3,000 to 4,000''' after Creation.
* '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation.

The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year &quot;Tabernacle&quot; era''', which is composed of:
* The 40 years of wandering in the wilderness;
* The 6 years of the initial conquest;
* The 630 years between the conquest and the completion of Solomon’s Temple.

Following the '''676-year &quot;Tabernacle&quot; era''' is a '''400-year &quot;First Temple&quot; era''' and a '''70-year &quot;Exile&quot; era''' as detailed in the historical breakdown below.

[[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]]

The Book of Daniel states: &quot;In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it&quot; (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''.

The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure.

High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. 

Using this synchronization, other significant milestones are mapped as follows:
* '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''.
* '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''.
* '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''.

High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year &quot;Second Temple Persian Era&quot; (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. 

The remainder of the diagram represents a 300-year &quot;Second Temple Hellenistic Era,&quot; which concludes in '''Creation Year 4400''' (30 BC).

=== Competing Temples ===
There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year &quot;Second Temple Persian Era&quot; (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework.

According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple:

&lt;blockquote&gt;&quot;But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel&quot; (Ezra 4:3).&lt;/blockquote&gt;

After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population.

[[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]]

This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC.

= The Rise of Zadok =
The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years:

* '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation.
* '''The second cluster''' spans years '''3,000 to 4,000''' after Creation.
* '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation.

The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section.  Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness.  To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event.

[[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]]

The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000.

= Hellenized Jews =
Hellenized Jews were
ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint.
= Start TBD =

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! rowspan = &quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;1&quot; rowspan = &quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962 &lt;br/&gt; &lt;small&gt;(847)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(847)&lt;/small&gt;
| 962 &lt;br/&gt; &lt;small&gt;(1196)&lt;/small&gt;
| 847 &lt;br/&gt; &lt;small&gt;(847)&lt;/small&gt;
| 962 &lt;br/&gt; &lt;small&gt;(1302)&lt;/small&gt;
| colspan=&quot;2&quot; | 962 &lt;br/&gt; &lt;small&gt;(1282)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(1282)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(1302)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(1304)&lt;/small&gt;

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;10&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969 &lt;br/&gt; &lt;small&gt;(721)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(721)&lt;/small&gt;
| 969 &lt;br/&gt; &lt;small&gt;(969)&lt;/small&gt;
| 720 &lt;br/&gt; &lt;small&gt;(720)&lt;/small&gt;
| 969 &lt;br/&gt; &lt;small&gt;(975)&lt;/small&gt;
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969 &lt;br/&gt; &lt;small&gt;(955)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(955)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(975)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(977)&lt;/small&gt;

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 777
| 653
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 707
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 723
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 753

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;6&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600
| rowspan=&quot;9&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438
| 538
| 535

|}

= End TBD =

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that could result in patriarchs surviving beyond the date of the Flood.
* &lt;span style=&quot;color:#333333;&quot;&gt;'''Blank Cells'''&lt;/span&gt; indicate where primary sources do not provide specific lifespan or death data.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;&quot;
|+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son)

|-
! rowspan=&quot;2&quot; colspan=&quot;1&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Adam
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 130
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 230

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Seth
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 105
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 205

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 90
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 190

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 70
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 170

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 66
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | 65
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 165

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 61
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 162
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 62
| colspan=&quot;6&quot; style=&quot;background-color:#f9f9f9;&quot; | 162

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 65
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 165

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 65
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 187
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 67
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 167 / 187
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 167
| colspan=&quot;2&quot; style=&quot;background-color:#f9f9f9;&quot; | 187

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 55
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 182
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 53
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 182 / 188
| colspan=&quot;5&quot; style=&quot;background-color:#f9f9f9;&quot; | 188

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;9&quot; style=&quot;background-color:#e8e8e8;&quot; | 500 .. 502

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot; style=&quot;text-align:left; color:black;&quot; | Pre-Flood TOTAL
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 1556
| colspan=&quot;1&quot; | 1209
| colspan=&quot;3&quot; | Varied
| colspan=&quot;1&quot; | 2142
| colspan=&quot;1&quot; | 2162
| colspan=&quot;1&quot; | 2164
|}

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;&quot;

|+ Comparison of Post-Flood Chronological Traditions (Age at birth of son)
|-
! colspan=&quot;1&quot; rowspan=&quot;2&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot;  style=&quot;text-align:left; color:black;&quot; | Pre-Flood
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 1556
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 2164
| colspan=&quot;1&quot; | 2162
| colspan=&quot;1&quot; | 2142
| colspan=&quot;3&quot; | Varied

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 100
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 112

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Arphaxad
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 66
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 35
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 135

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Cainan II
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 57
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 130
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 130
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 71
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Eber
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 64
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 34
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 134

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 61
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 59
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 32
| colspan=&quot;5&quot; style=&quot;background-color:#e8e8e8;&quot; | 132
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 135
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Serug	
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 57
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 130
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 132

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 62
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 29
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 79
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 75
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 79 / 179
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 79
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 120

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;9&quot; style=&quot;background-color:#e8e8e8;&quot; | 70

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Abram
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 78
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 75

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Canaan
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 218
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 215

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Egypt
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 238
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 430
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 215
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 430
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 215
|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Sinai +/-
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 40
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | -
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 46
| colspan=&quot;4&quot; style=&quot;background-color:#e8e8e8;&quot; | 40

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot; style=&quot;text-align:left; color:black;&quot; | GRAND TOTAL
| colspan=&quot;1&quot; | 2450
| colspan=&quot;1&quot; | 2666
| colspan=&quot;1&quot; | 2800
| colspan=&quot;1&quot; | 3885
| colspan=&quot;1&quot; | 3754
| colspan=&quot;1&quot; | 3938
| colspan=&quot;3&quot; | Varied
|}

== The Septuagint Chronology ==

While the chronologies of the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' are anchored in Levant-based agricultural cycles and the symbolic interplay of the numbers 40 and 49, the Septuagint (LXX) appears to have been structured around a different set of priorities. Specifically, the LXX's chronological framework seems designed to resolve a significant textual difficulty: the mathematical anomaly of patriarchs potentially outliving the Flood. In the 2017 article, ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', author Paul D. makes the following statement regarding the Septuagint:

&lt;blockquote&gt;“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”&lt;/blockquote&gt;

While Paul D.’s &quot;Whoops Theory&quot; suggests the LXX editor intended to &quot;fix&quot; the timeline but failed in the case of Methuselah, this interpretation potentially overlooks the systemic nature of the changes. If an editor is methodical enough to systematically alter multiple generations by exactly one hundred years, a single &quot;failure&quot; to fix Methuselah could suggest the avoidance of a post-Flood death was not the primary objective.

Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': 

&lt;blockquote&gt;&quot;Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years.&quot;&lt;/blockquote&gt; 

This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development.

=== Demetrius the Chronographer ===
Demetrius the Chronographer, writing as early as the late 3rd century BC (c. 221 BC), represents the earliest known witness to biblical chronological calculations. While only fragments of his work remain, they are significant; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. This presumably places the birth of Shem at 2,164 years—exactly one hundred years before the Flood—aligning his data with the &quot;Long Chronology&quot; of the Septuagint.

In the comment section of the original article, in response to evidence regarding this longer tradition (provided by commenter Roger Quill), Paul D. reaffirms his &quot;Whoops Theory&quot; by challenging the validity of various witnesses to the 187-year begettal age of Methuselah. In this view, Codex Alexandrinus is seen as the lone legitimate witness, while others are discounted: 

* '''Josephus:''' Characterized as dependent on the Masoretic tradition.
* '''Pseudo-Philo:''' Dismissed due to textual corruption (&quot;a real mess&quot;).
* '''Julius Africanus:''' Questioned because his records survive only through the later intermediary, Syncellus.
* '''Demetrius:''' Rejected as a witness because his chronology contains an additional 22 years (rather than the typical 20-year variance) whose precise placement remains unknown.

The claim that Julius Africanus is invalidated due to his survival through an intermediary, or that Demetrius is disqualified by a 22-year variance, is arguably overstated. A plausible explanation for the discrepancy in Demetrius's chronology is the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can easily account for such variances without necessitating the rejection of the witnesses.

=== The Correlations ===
An interesting piece of corroborating evidence exists in the previously mentioned 1864 publication by Rev. John Mills, ''Three Months' Residence at Nablus'', where High Priest Amram records his own chronological dates based on the Samaritan Pentateuch. Priest Amram lists the Flood date as 1307 years after creation, but then lists the birth of Arphaxad as 1309 years—exactly two years after the Flood—which presumably places Shem's birth in year 502 of Noah's life (though Shem's actual birth date in the text is obscured by a typo).

The internal tension in Priest Amram's calculations likely reflects the same two-year variance seen between Demetrius and Africanus. Priest Amram lists the birth years of Shelah, Eber, and Peleg as 1444, 1574, and 1708, respectively. Africanus lists those same birth years as 2397, 2527, and 2661. In each case, the Priest Amram figure differs from the Africanus value by exactly 953 years. While the chronology of Africanus may reach us through an intermediary, as Paul D. notes, the values provided by both Demetrius and Africanus are precisely what one would anticipate to resolve the &quot;Universal Flood&quot; problem.


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      <text bytes="86970" sha1="niowaf2r2cslah9ouc08m584oz1nvtr" xml:space="preserve">{{Original research}}
This page evaluates and extends the mathematical insights presented in the 2017 article, ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'' by Paul D. While the original article provides a compelling foundation, this analysis identifies areas where the underlying data and mathematical evidence are more robust than initially presented. The following sections aim to clarify these findings and offer a more precise structural framework.

== Summary of Main Arguments ==
The ages of the patriarchs in Genesis are not intended as historical records, but as a complex symbolic mathematical structure designed by ancient authors. Key points include:

* '''Artificial Mathematical Design:''' Patriarchal ages and event years are based on symbolic or &quot;perfect&quot; numbers (such as 7, 49, and 60) rather than biological or historical reality.
* '''Alignment with Sacred Cycles:''' The chronologies are designed to align significant events—such as the Exodus and the dedication of Solomon’s Temple—with specific &quot;years of the world&quot; (''Anno Mundi''), synchronizing human history with a divine calendar.
* '''The Universal Flood as a Later Insertion:''' Evidence suggests the universal scope of Noah's Flood was a later addition to a patriarchal foundation story. This insertion disrupted the original timelines, forcing recalibrations in the Masoretic Text (MT), Samaritan Pentateuch (SP), and Septuagint (LXX) to avoid chronological contradictions.
* '''Chronological Overlaps:''' In the original numerical framework (prior to recalibration for a universal flood), the mathematical structures resulted in overlaps where certain patriarchs, such as Methuselah, survived beyond the date of the Flood.

= Arichat Yamim =

Most of the patriarchs' lifespans in the Hebrew Bible far exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101).

This phenomenon is difficult to explain, as no known ancient number system features &quot;101&quot; as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle.
 
In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a &quot;perfect&quot; Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows:

*:&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
\frac{7\,\text{šar}}{2} &amp;= 3\,\text{šar}\,\,30\,\text{šūši}  \\ 
&amp;= \left(3 \times 60^2 \, \text{years} \right) + \left(30 \times 60^1 \,\text{years} \right) \\ 
&amp;= 10,800 \, \text{years} + 1,800 \, \text{years} \\
&amp;= 12,600 \, \text{years}
\end{aligned}
&lt;/math&gt;

This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60).

==== Prototype 1: Initial &quot;Mesopotamian&quot; Allocation ====

----

&lt;div style=&quot;background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;&quot;&gt;
The initial &quot;PT1&quot; framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''):

* '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49).
* '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''.
* '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920).
&lt;/div&gt;

----

==== Prototype 2: Refined &quot;Jubilee&quot; Allocation ====

----

&lt;div style=&quot;background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;&quot;&gt;
Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the &quot;Remainder&quot; to each of the two primary groups. This resulted in the &quot;PT2&quot; figures as follows:

* '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees).
* '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees).
* '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949).
&lt;/div&gt;

----

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that result in a patriarch surviving beyond the date of the Flood.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e0f2f1; border-bottom:2px solid #009688;&quot; | PROTOTYPE 1&lt;br/&gt;(PT1)
! colspan=&quot;3&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PROTOTYPE 2&lt;br/&gt;(PT2)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;82 šūši&lt;br/&gt;(4920)&lt;/div&gt;
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;45 šūši&lt;br/&gt;(2700)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;4949&lt;/div&gt;
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2727&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 912

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 905

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 910

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;37 šūši&lt;br/&gt;(2220)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2222&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 895

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 6 (360)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot;  | Methuselah
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;46 šūši&lt;br/&gt;(2760)&lt;/div&gt;
| rowspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;32 šūši&lt;br/&gt;(1920)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2702&lt;/div&gt;
| rowspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1919&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 14 (880)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 14 (840)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam
| rowspan=&quot;18&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;82 šūši&lt;br/&gt;(4920)&lt;/div&gt;
| rowspan=&quot;5&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;40 šūši&lt;br/&gt;(2400)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 16 (960)
| rowspan=&quot;18&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;4949&lt;/div&gt;
| rowspan=&quot;5&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2401&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 930

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 10 (600)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 7 (420)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Cainan (II)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 7 (420)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 433

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Eber
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;25 šūši&lt;br/&gt;(1500)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 8 (480)
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1525&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 464

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 4 (240)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 4 (240)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Serug
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 230

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 148

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Abraham
| rowspan=&quot;7&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;17 šūši&lt;br/&gt;(1020)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| rowspan=&quot;7&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1023&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 175

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Isaac
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jacob
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 147

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Levi
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kohath
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Amram
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 131

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Moses
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 120

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! style=&quot;text-align:left; color:black;&quot; | LIFESPAN&lt;br/&gt;DURATION&lt;br/&gt;SUM
| colspan=&quot;6&quot; | 210 šūši&lt;br/&gt;(12,600 years)
|}

== PT2 as the Base Model for Patriarchal Chronologies ==
The &quot;PT2&quot; chronology serves as the foundational model from which subsequent patriarchal lifespans in various textual traditions were derived. Evidence for this remains visible across nearly all biblical records, as they consistently preserve the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1).

* '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost.
* '''The Masoretic Text (MT):''' This tradition shifted 6 years from the &quot;Remainder&quot; to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block.
* '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši'''''.
* '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence.

The use of rounded Mesopotamian figures in the Armenian Eusebius Chronology suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the Septuagint's divergence indicates a later development—likely in Alexandria—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;

|+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum)
|-
! rowspan=&quot;2&quot; | Patriarch Groups
! rowspan=&quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;2&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;3&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! style=&quot;background-color:#e3f2fd;&quot; | Masoretic&lt;br/&gt;(MT)
! style=&quot;background-color:#e3f2fd;&quot; | Samaritan&lt;br/&gt;(SP)
! style=&quot;background-color:#fff3e0;&quot; | Josephus&lt;br/&gt;(94 AD)
! style=&quot;background-color:#fff3e0;&quot; | Eusebius&lt;br/&gt;(325 AD)
! style=&quot;background-color:#fff3e0;&quot; | Septuagint&lt;br/&gt;(LXX)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth to Enoch&lt;br/&gt;&lt;small&gt;(6 Patriarchs)&lt;/small&gt;
| colspan=&quot;2&quot; style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
| style=&quot;background-color:#f9f9f9;&quot; | 4834&lt;br/&gt;&lt;small&gt;(4949 - 115)&lt;/small&gt;
| colspan=&quot;3&quot; style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
|-

| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah, Lamech, Noah&lt;br/&gt;&lt;small&gt;(The Remainder)&lt;/small&gt;
| style=&quot;font-weight:bold; background-color:#f9f9f9;&quot; | 2702
| style=&quot;background-color:#f9f9f9;&quot; | 2696&lt;br/&gt;&lt;small&gt;(2702 - 6)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2323&lt;br/&gt;&lt;small&gt;(2702 - 379)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2626&lt;br/&gt;&lt;small&gt;(2702 - 76)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2642&lt;br/&gt;&lt;small&gt;(2702 - 60)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2672&lt;br/&gt;&lt;small&gt;(2702 - 30)&lt;/small&gt;
|-

| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam &amp; Shem to Moses&lt;br/&gt;&lt;small&gt;(The &quot;Second Half&quot;)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
| style=&quot;background-color:#f9f9f9;&quot; | 4955&lt;br/&gt;&lt;small&gt;(4949 + 6)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 4834&lt;br/&gt;&lt;small&gt;(4949 - 115)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | —
| style=&quot;background-color:#f9f9f9;&quot; | 5609&lt;br/&gt;&lt;small&gt;(4949 + 660)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 5930&lt;br/&gt;&lt;small&gt;(4949 + 981)&lt;/small&gt;

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:14px;&quot;
! LIFESPAN DURATION SUM
| colspan=&quot;2&quot; | 12,600
| 11,991
| —
| 13,200
| 13,551
|}
&lt;small&gt;* '''Dash (—)''' indicates where primary sources do not provide complete death data.&lt;/small&gt;

== Comparative Chronology Tables ==

The following table reconstructs lifespan values across multiple chronological traditions. While most values are derived directly from the primary source texts listed in the header, the '''Armenian Eusebius''' chronology does not explicitly record the lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that result in a patriarch surviving beyond the date of the Flood.
* &lt;span style=&quot;color:#333333;&quot;&gt;'''Blank Cells'''&lt;/span&gt; indicate where primary sources do not provide specific lifespan or death data.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! rowspan = &quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;1&quot; rowspan = &quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;2&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;3&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 912

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 905

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 910

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 895

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962
| 847
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969
| 720
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;6&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 777
| 653
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 707
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 723
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 753

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 930

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600
| rowspan=&quot;9&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438
| 538
| 535

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Cainan (II)
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —
| —
| 460

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 433
| 536
| 460

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Eber
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 464
| 404
| 567
| colspan=&quot;2&quot; | 404

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239
| colspan=&quot;2&quot; | 339

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239
| 342
| 339

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Serug
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 230
| colspan=&quot;2&quot; | 330

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 148
| 198
| 304

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205
| 145
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Abraham
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 175

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Isaac
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180
| 185
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jacob
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 147

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Levi
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137
| rowspan=&quot;3&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kohath
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Amram
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 131
| 137
| 136
| colspan=&quot;2&quot; | 132

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Moses
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 120

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! style=&quot;text-align:left; color:black;&quot; | LIFESPAN&lt;br/&gt;DURATION&lt;br/&gt;SUM
| colspan=&quot;2&quot; | 12,600
| colspan=&quot;1&quot; | 11,991
| —
| colspan=&quot;1&quot; | 13,200
| colspan=&quot;1&quot; | 13,551
|}

=== Samaritan Adjustments ===
Four of the pre-flood patriarchs—Jared, Methuselah, Lamech, and Noah—are credited with exceptionally long lives late in the chronology, which creates a potential overlap where these four patriarchs appear to survive Noah's flood. As shown in the above table, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. Other traditions do not employ this specific reduction, but all must address the issue of flood survival, as explained in later sections.

The required reduction in Jared's lifespan was '''115 years'''. Interestingly, as noted in the previous section, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the &quot;Group 1&quot; and &quot;Group 2&quot; patriarchs.

Specifically, this balance was achieved through the following adjustments:
* '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each).
* '''Amram's''' lifespan was increased by five years.

This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing.

=== Masoretic Adjustments ===

In the 2017 article, &quot;[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs],&quot; Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition:

&lt;blockquote&gt;&quot;The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)&quot;&lt;/blockquote&gt;

While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late &quot;tweak&quot; in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges:

&lt;blockquote&gt;&quot;Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above.&quot;&lt;/blockquote&gt;

==== ''Lectio Difficilior Potior'' ====
The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the &quot;harder reading is stronger&quot;) suggests that scribes tend to simplify or &quot;smooth&quot; texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life.

In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges:

* '''Year 500 (of Noah):''' Shem is born.
* '''Year 600 (of Noah):''' The Flood occurs.
* '''Year 700 (of Noah):''' Lamech dies.

This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a &quot;compressed chronology&quot; (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (53, 653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''183 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate &quot;balancing&quot; of total chronological years.

=== Armenian Eusebius Adjustments ===
Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 220 ''šūši'' (or 10 ''šūši'' more than the Masoretic Text). Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system.

Specifically, the following adjustments appear to have occurred for Group 2 patriarchs:
* '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years.
* '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years.
* '''Nahor''' had his lifespan increased by 50 years.
* '''Amram''' had his lifespan increased by 1 year.

The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''.

= It All Started With Grain =

[[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]]

The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the [https://www.biblicalarchaeology.org/daily/news/ancient-bread-jordan/ Black Desert of Jordan]. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops.

The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the &quot;firstfruits of your harvest&quot; (referring to barley) before the Lord:

&lt;blockquote&gt;&quot;then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord&quot;&lt;/blockquote&gt;

To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues:

&lt;blockquote&gt;&quot;And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord.&quot;&lt;/blockquote&gt;

[[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]]

These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the &quot;better things&quot; and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.

This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: 

&lt;blockquote&gt;&quot;And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye &lt;small&gt;(likely emmer wheat or spelt)&lt;/small&gt; were not smitten: for they were not grown up.&quot;&lt;/blockquote&gt;

This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. 

The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest).

=== The Mathematical Structure of Jubilees ===

The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of &quot;weeks&quot;:

* '''Week of Years:''' 7&lt;sup&gt;1&lt;/sup&gt; = 7 years
* '''Jubilee of Years:''' 7&lt;sup&gt;2&lt;/sup&gt; = 49 years
* '''Week of Jubilees:''' 7&lt;sup&gt;3&lt;/sup&gt; = 343 years
* '''Jubilee of Jubilees:''' 7&lt;sup&gt;4&lt;/sup&gt; = 2,401 years

The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land.

[[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]]

The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested &quot;Jubilee of Jubilees&quot; (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle.

* The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year.
* The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years.
* The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid.
* The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs.

== The Birth of Shem (A Digression) ==
Were Noah's sons born when Noah was 500 or 502?

==== The 502 Calculation ====
While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that &quot;Noah was 500 years old, and Noah begat Shem, Ham, and Japheth,&quot; this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: 
# Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). 
# Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10])

'''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples.

==== Competing Narratives ====
According to the Book of Jubilees 4:33, Shem was the oldest son, born in Noah's 500&lt;sup&gt;th&lt;/sup&gt; year, followed by Ham in the 502&lt;sup&gt;nd&lt;/sup&gt; year, and Japheth in the 505&lt;sup&gt;th&lt;/sup&gt;. This seems to be in contradiction with the Genesis narrative which places Shem as the second son in year 502.

==== ''Lectio Difficilior Potior'' ====

The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the harder reading is stronger) suggests that scribes tend to simplify or &quot;smooth&quot; texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life.

In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28%7Cversion=SPE Lamech’s 53rd year]. If we combine that with the 500-year figure for Noah's age at the birth of his sons and the [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB Septuagint figure of 753] for Lamech's death, a suspiciously neat pattern emerges:

* '''Year 500 (of Noah):''' Shem is born.
* '''Year 600 (of Noah):''' The Flood occurs.
* '''Year 700 (of Noah):''' Lamech dies.

This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a &quot;compressed chronology&quot; (500–600–700) is a hallmark of editorial smoothing—likely values adjusted during the introduction of the universal flood narrative to create a more &quot;perfect&quot; structure.

Applying ''Lectio Difficilior'', we can reasonably set aside the figures 53, 500, and 753 as being &quot;too structured to be true,&quot; shifting our focus to less symmetrical values such as '''502''' for Shem's birth.

== The Mathematical relationship between 40 and 49 ==

As noted previously, the ''Jubilees'' author envisions early Hebraic history within a &quot;Jubilee of Jubilees&quot; fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows:

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 (7-3)(7+3) &amp;=  7^2 - 3^2 \\
 &amp;= 49 - 9 \\
 &amp;= 40
\end{aligned}
&lt;/math&gt;

The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40.

[[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] 

Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years):

[[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]]

&lt;div style=&quot;line-height: 1.5;&quot;&gt;
* '''Book of Jubilees (Adam to Canaan)'''
** Pre-Flood Patriarch years:
*:&lt;math display=&quot;block&quot;&gt;\frac{7^4 - 1}{2} + 3^2 = 1200 + 9 = 1209&lt;/math&gt;
** Post-Flood Patriarch years:
*:&lt;math display=&quot;block&quot;&gt;\frac{7^4 + 1}{2} + (7^2 - 3^2) = 1201 + 40 = 1241&lt;/math&gt;
** Total Years:
*:&lt;math display=&quot;block&quot;&gt;7^4 + 7^2 = 2401 + 49 = 2450&lt;/math&gt;
&lt;/div&gt;

== The Samaritan Pentateuch Connection ==
Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition.

[[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]]

=== Determining Chronological Priority ===
A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem is born in year 1207 (reconstructed as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 &quot;Jubilee of Jubilees.&quot;

This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's &quot;pivot&quot; position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment.

=== The 350-Year Symmetrical Extension ===
Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a &quot;week of Jubilees&quot; (343 years) plus a &quot;week of years&quot; (7 years).

&lt;div style=&quot;line-height: 1.5;&quot;&gt;
* '''Book of Jubilees (Adam to Canaan):'''
:&lt;math display=&quot;block&quot;&gt;7^4 + 7^2 = 2401 + 49 = 2450 \text{ years}&lt;/math&gt;

* '''Samaritan Pentateuch (Adam to Conquest):'''
:&lt;math display=&quot;block&quot;&gt;\begin{aligned} \text{(Base 49): } &amp; 7^4 + 7^3 + 7^2 + 7^1 = 2401 + 343 + 49 + 7 = 2800 \\ \text{(Base 40): } &amp; 70 \times 40 = 2800 \end{aligned}&lt;/math&gt;
&lt;/div&gt;

=== Mathematical Structure of the Early Samaritan Chronology ===
To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each):

* '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''.
* '''The second cluster''' represents a second millennium.
* '''The final set''' contains 20 blocks (4x5), representing '''800 years'''.

Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record.


[[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]]

== Living in the Rough ==

[[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]]

As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a &quot;generation&quot;) are less clear, but the number is consistently associated with &quot;living in the rough&quot;—periods of trial, transition, or exile away from the comforts of civilization. 

Examples of this pattern include:
* '''Noah''' lived within the ark for 40 days while the rain fell; 
* '''Israel''' wandered in the wilderness for 40 years; 
* '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. 

Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era.

Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the &quot;civilized&quot; city.

In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means &quot;supplanter&quot;—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a &quot;skillful hunter&quot; and a &quot;man of the field,&quot; while Jacob is &quot;dwelling in tents&quot; and cooking &quot;lentil stew.&quot;

The text draws a clear parallel between these two sets of brothers:
* In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. 
* In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this &quot;clever&quot; intervention, Jacob successfully secures the favor that Cain could not.

Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. 

This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the &quot;rough&quot; of the wilderness.

Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three &quot;generations&quot; (3 x 40).

The relationship between these two &quot;three-fold&quot; lifespans can be expressed by the same nine-year offset identified in the Shem chronology:

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 49 - 9 &amp;= 40 \\
 3(49 - 9) &amp;= 3(40) \\
 147 - 27 &amp;= 120
\end{aligned}
&lt;/math&gt;

[[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] 

Samaritan tradition maintains a unique cultural link to the &quot;pastoralist&quot; ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the &quot;grain-based&quot; agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to &quot;wilderness living,&quot; the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit.

=== A narrative foil for Joshua ===
As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a &quot;foil&quot; for Jacob: Moses lived exactly three &quot;generations&quot; (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization.

This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding &quot;foil&quot; to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam?

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 49 - 9 &amp;= 40 \\
 70(49 - 9) &amp;= 70(40) \\
 3,430 - 630 &amp;= 2,800
\end{aligned}
&lt;/math&gt;

Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific &quot;foil&quot; to Joshua existed in the original architect's mind.

The Samaritans do maintain a continuous, running calendar. However, this system uses a &quot;Conquest Era&quot; epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. For instance, at that time, the [[w:Hyksos|Hyksos]] were only beginning to establish control over Lower Egypt. Furthermore, the [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC.

There is, however, one more possibility to consider: what if the &quot;irreconcilable&quot; nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent &quot;foil&quot; event occurred exactly 3,430 years after Creation? 

As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare &quot;smoking gun&quot; for the artificial design of the chronology.

=== A Mystery Solved ===
In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest.

The significant milestones in this timeline include:
* '''Year 1''': &quot;This year the world and Adam were created.&quot; 
* '''Year 2801''': &quot;The first year of Israel's rule in the land of Canaan.&quot; 
* '''Year 3423''': &quot;The commencement of the kingdom of Solomon.&quot;

According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological &quot;anchor&quot; was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself.

In Creation Year 2800—marking exactly 70 &quot;generations&quot; of 40 years—God entered Canaan in a tent, embodying the &quot;living rough&quot; wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 &quot;Jubilees&quot; of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70&lt;sup&gt;th&lt;/sup&gt; generation to the 70&lt;sup&gt;th&lt;/sup&gt; Jubilee:

:&lt;math&gt;70 \times 40 + (70 \times 9) = 70 \times 49&lt;/math&gt;

=== Mathematical Structure of the Later Samaritan Chronology ===
The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years:

* '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation.
* '''The second cluster''' spans years '''3,000 to 4,000''' after Creation.
* '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation.

The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year &quot;Tabernacle&quot; era''', which is composed of:
* The 40 years of wandering in the wilderness;
* The 6 years of the initial conquest;
* The 630 years between the conquest and the completion of Solomon’s Temple.

Following the '''676-year &quot;Tabernacle&quot; era''' is a '''400-year &quot;First Temple&quot; era''' and a '''70-year &quot;Exile&quot; era''' as detailed in the historical breakdown below.

[[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]]

The Book of Daniel states: &quot;In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it&quot; (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''.

The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure.

High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. 

Using this synchronization, other significant milestones are mapped as follows:
* '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''.
* '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''.
* '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''.

High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year &quot;Second Temple Persian Era&quot; (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. 

The remainder of the diagram represents a 300-year &quot;Second Temple Hellenistic Era,&quot; which concludes in '''Creation Year 4400''' (30 BC).

=== Competing Temples ===
There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year &quot;Second Temple Persian Era&quot; (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework.

According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple:

&lt;blockquote&gt;&quot;But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel&quot; (Ezra 4:3).&lt;/blockquote&gt;

After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population.

[[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]]

This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC.

= The Rise of Zadok =
The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years:

* '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation.
* '''The second cluster''' spans years '''3,000 to 4,000''' after Creation.
* '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation.

The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section.  Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness.  To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event.

[[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]]

The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000.

= Hellenized Jews =
Hellenized Jews were
ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint.
= Start TBD =

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! rowspan = &quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;1&quot; rowspan = &quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962 &lt;br/&gt; &lt;small&gt;(847)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(847)&lt;/small&gt;
| 962 &lt;br/&gt; &lt;small&gt;(1196)&lt;/small&gt;
| 847 &lt;br/&gt; &lt;small&gt;(847)&lt;/small&gt;
| 962 &lt;br/&gt; &lt;small&gt;(1302)&lt;/small&gt;
| colspan=&quot;2&quot; | 962 &lt;br/&gt; &lt;small&gt;(1282)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(1282)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(1302)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(1304)&lt;/small&gt;

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;10&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969 &lt;br/&gt; &lt;small&gt;(721)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(721)&lt;/small&gt;
| 969 &lt;br/&gt; &lt;small&gt;(969)&lt;/small&gt;
| 720 &lt;br/&gt; &lt;small&gt;(720)&lt;/small&gt;
| 969 &lt;br/&gt; &lt;small&gt;(975)&lt;/small&gt;
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969 &lt;br/&gt; &lt;small&gt;(955)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(955)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(975)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(977)&lt;/small&gt;

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783 &lt;br/&gt; &lt;small&gt;(656)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(656)&lt;/small&gt;
| 777 &lt;br/&gt; &lt;small&gt;(782)&lt;/small&gt;
| 653 &lt;br/&gt; &lt;small&gt;(653)&lt;/small&gt;
| 707 &lt;br/&gt; &lt;small&gt;(788)&lt;/small&gt;
| 723 &lt;br/&gt; &lt;small&gt;(788)&lt;/small&gt;
| 753 &lt;br/&gt; &lt;small&gt;(788)&lt;/small&gt;
| colspan=&quot;2&quot; | — &lt;br/&gt; &lt;small&gt;(788)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(790)&lt;/small&gt;

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;6&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600
| rowspan=&quot;9&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438
| 538
| 535

|}

= End TBD =

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that could result in patriarchs surviving beyond the date of the Flood.
* &lt;span style=&quot;color:#333333;&quot;&gt;'''Blank Cells'''&lt;/span&gt; indicate where primary sources do not provide specific lifespan or death data.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;&quot;
|+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son)

|-
! rowspan=&quot;2&quot; colspan=&quot;1&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Adam
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 130
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 230

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Seth
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 105
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 205

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 90
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 190

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 70
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 170

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 66
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | 65
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 165

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 61
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 162
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 62
| colspan=&quot;6&quot; style=&quot;background-color:#f9f9f9;&quot; | 162

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 65
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 165

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 65
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 187
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 67
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 167 / 187
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 167
| colspan=&quot;2&quot; style=&quot;background-color:#f9f9f9;&quot; | 187

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 55
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 182
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 53
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 182 / 188
| colspan=&quot;5&quot; style=&quot;background-color:#f9f9f9;&quot; | 188

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;9&quot; style=&quot;background-color:#e8e8e8;&quot; | 500 .. 502

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot; style=&quot;text-align:left; color:black;&quot; | Pre-Flood TOTAL
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 1556
| colspan=&quot;1&quot; | 1209
| colspan=&quot;3&quot; | Varied
| colspan=&quot;1&quot; | 2142
| colspan=&quot;1&quot; | 2162
| colspan=&quot;1&quot; | 2164
|}

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;&quot;

|+ Comparison of Post-Flood Chronological Traditions (Age at birth of son)
|-
! colspan=&quot;1&quot; rowspan=&quot;2&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot;  style=&quot;text-align:left; color:black;&quot; | Pre-Flood
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 1556
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 2164
| colspan=&quot;1&quot; | 2162
| colspan=&quot;1&quot; | 2142
| colspan=&quot;3&quot; | Varied

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 100
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 112

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Arphaxad
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 66
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 35
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 135

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Cainan II
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 57
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 130
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 130
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 71
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Eber
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 64
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 34
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 134

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 61
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 59
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 32
| colspan=&quot;5&quot; style=&quot;background-color:#e8e8e8;&quot; | 132
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 135
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Serug	
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 57
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 130
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 132

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 62
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 29
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 79
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 75
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 79 / 179
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 79
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 120

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;9&quot; style=&quot;background-color:#e8e8e8;&quot; | 70

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Abram
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 78
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 75

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Canaan
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 218
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 215

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Egypt
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 238
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 430
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 215
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 430
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 215
|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Sinai +/-
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 40
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | -
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 46
| colspan=&quot;4&quot; style=&quot;background-color:#e8e8e8;&quot; | 40

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot; style=&quot;text-align:left; color:black;&quot; | GRAND TOTAL
| colspan=&quot;1&quot; | 2450
| colspan=&quot;1&quot; | 2666
| colspan=&quot;1&quot; | 2800
| colspan=&quot;1&quot; | 3885
| colspan=&quot;1&quot; | 3754
| colspan=&quot;1&quot; | 3938
| colspan=&quot;3&quot; | Varied
|}

== The Septuagint Chronology ==

While the chronologies of the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' are anchored in Levant-based agricultural cycles and the symbolic interplay of the numbers 40 and 49, the Septuagint (LXX) appears to have been structured around a different set of priorities. Specifically, the LXX's chronological framework seems designed to resolve a significant textual difficulty: the mathematical anomaly of patriarchs potentially outliving the Flood. In the 2017 article, ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', author Paul D. makes the following statement regarding the Septuagint:

&lt;blockquote&gt;“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”&lt;/blockquote&gt;

While Paul D.’s &quot;Whoops Theory&quot; suggests the LXX editor intended to &quot;fix&quot; the timeline but failed in the case of Methuselah, this interpretation potentially overlooks the systemic nature of the changes. If an editor is methodical enough to systematically alter multiple generations by exactly one hundred years, a single &quot;failure&quot; to fix Methuselah could suggest the avoidance of a post-Flood death was not the primary objective.

Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': 

&lt;blockquote&gt;&quot;Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years.&quot;&lt;/blockquote&gt; 

This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development.

=== Demetrius the Chronographer ===
Demetrius the Chronographer, writing as early as the late 3rd century BC (c. 221 BC), represents the earliest known witness to biblical chronological calculations. While only fragments of his work remain, they are significant; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. This presumably places the birth of Shem at 2,164 years—exactly one hundred years before the Flood—aligning his data with the &quot;Long Chronology&quot; of the Septuagint.

In the comment section of the original article, in response to evidence regarding this longer tradition (provided by commenter Roger Quill), Paul D. reaffirms his &quot;Whoops Theory&quot; by challenging the validity of various witnesses to the 187-year begettal age of Methuselah. In this view, Codex Alexandrinus is seen as the lone legitimate witness, while others are discounted: 

* '''Josephus:''' Characterized as dependent on the Masoretic tradition.
* '''Pseudo-Philo:''' Dismissed due to textual corruption (&quot;a real mess&quot;).
* '''Julius Africanus:''' Questioned because his records survive only through the later intermediary, Syncellus.
* '''Demetrius:''' Rejected as a witness because his chronology contains an additional 22 years (rather than the typical 20-year variance) whose precise placement remains unknown.

The claim that Julius Africanus is invalidated due to his survival through an intermediary, or that Demetrius is disqualified by a 22-year variance, is arguably overstated. A plausible explanation for the discrepancy in Demetrius's chronology is the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can easily account for such variances without necessitating the rejection of the witnesses.

=== The Correlations ===
An interesting piece of corroborating evidence exists in the previously mentioned 1864 publication by Rev. John Mills, ''Three Months' Residence at Nablus'', where High Priest Amram records his own chronological dates based on the Samaritan Pentateuch. Priest Amram lists the Flood date as 1307 years after creation, but then lists the birth of Arphaxad as 1309 years—exactly two years after the Flood—which presumably places Shem's birth in year 502 of Noah's life (though Shem's actual birth date in the text is obscured by a typo).

The internal tension in Priest Amram's calculations likely reflects the same two-year variance seen between Demetrius and Africanus. Priest Amram lists the birth years of Shelah, Eber, and Peleg as 1444, 1574, and 1708, respectively. Africanus lists those same birth years as 2397, 2527, and 2661. In each case, the Priest Amram figure differs from the Africanus value by exactly 953 years. While the chronology of Africanus may reach us through an intermediary, as Paul D. notes, the values provided by both Demetrius and Africanus are precisely what one would anticipate to resolve the &quot;Universal Flood&quot; problem.


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      <text bytes="87277" sha1="l629hklayrd3i2p8fj8ido1cxzcdu9r" xml:space="preserve">{{Original research}}
This page evaluates and extends the mathematical insights presented in the 2017 article, ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'' by Paul D. While the original article provides a compelling foundation, this analysis identifies areas where the underlying data and mathematical evidence are more robust than initially presented. The following sections aim to clarify these findings and offer a more precise structural framework.

== Summary of Main Arguments ==
The ages of the patriarchs in Genesis are not intended as historical records, but as a complex symbolic mathematical structure designed by ancient authors. Key points include:

* '''Artificial Mathematical Design:''' Patriarchal ages and event years are based on symbolic or &quot;perfect&quot; numbers (such as 7, 49, and 60) rather than biological or historical reality.
* '''Alignment with Sacred Cycles:''' The chronologies are designed to align significant events—such as the Exodus and the dedication of Solomon’s Temple—with specific &quot;years of the world&quot; (''Anno Mundi''), synchronizing human history with a divine calendar.
* '''The Universal Flood as a Later Insertion:''' Evidence suggests the universal scope of Noah's Flood was a later addition to a patriarchal foundation story. This insertion disrupted the original timelines, forcing recalibrations in the Masoretic Text (MT), Samaritan Pentateuch (SP), and Septuagint (LXX) to avoid chronological contradictions.
* '''Chronological Overlaps:''' In the original numerical framework (prior to recalibration for a universal flood), the mathematical structures resulted in overlaps where certain patriarchs, such as Methuselah, survived beyond the date of the Flood.

= Arichat Yamim =

Most of the patriarchs' lifespans in the Hebrew Bible far exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101).

This phenomenon is difficult to explain, as no known ancient number system features &quot;101&quot; as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle.
 
In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a &quot;perfect&quot; Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows:

*:&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
\frac{7\,\text{šar}}{2} &amp;= 3\,\text{šar}\,\,30\,\text{šūši}  \\ 
&amp;= \left(3 \times 60^2 \, \text{years} \right) + \left(30 \times 60^1 \,\text{years} \right) \\ 
&amp;= 10,800 \, \text{years} + 1,800 \, \text{years} \\
&amp;= 12,600 \, \text{years}
\end{aligned}
&lt;/math&gt;

This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60).

==== Prototype 1: Initial &quot;Mesopotamian&quot; Allocation ====

----

&lt;div style=&quot;background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;&quot;&gt;
The initial &quot;PT1&quot; framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''):

* '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49).
* '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''.
* '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920).
&lt;/div&gt;

----

==== Prototype 2: Refined &quot;Jubilee&quot; Allocation ====

----

&lt;div style=&quot;background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;&quot;&gt;
Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the &quot;Remainder&quot; to each of the two primary groups. This resulted in the &quot;PT2&quot; figures as follows:

* '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees).
* '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees).
* '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949).
&lt;/div&gt;

----

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that result in a patriarch surviving beyond the date of the Flood.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e0f2f1; border-bottom:2px solid #009688;&quot; | PROTOTYPE 1&lt;br/&gt;(PT1)
! colspan=&quot;3&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PROTOTYPE 2&lt;br/&gt;(PT2)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;82 šūši&lt;br/&gt;(4920)&lt;/div&gt;
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;45 šūši&lt;br/&gt;(2700)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;4949&lt;/div&gt;
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2727&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 912

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 905

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 910

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;37 šūši&lt;br/&gt;(2220)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2222&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 895

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 6 (360)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot;  | Methuselah
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;46 šūši&lt;br/&gt;(2760)&lt;/div&gt;
| rowspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;32 šūši&lt;br/&gt;(1920)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2702&lt;/div&gt;
| rowspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1919&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 14 (880)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 14 (840)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam
| rowspan=&quot;18&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;82 šūši&lt;br/&gt;(4920)&lt;/div&gt;
| rowspan=&quot;5&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;40 šūši&lt;br/&gt;(2400)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 16 (960)
| rowspan=&quot;18&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;4949&lt;/div&gt;
| rowspan=&quot;5&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2401&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 930

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 10 (600)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 7 (420)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Cainan (II)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 7 (420)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 433

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Eber
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;25 šūši&lt;br/&gt;(1500)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 8 (480)
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1525&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 464

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 4 (240)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 4 (240)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Serug
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 230

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 148

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Abraham
| rowspan=&quot;7&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;17 šūši&lt;br/&gt;(1020)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| rowspan=&quot;7&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1023&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 175

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Isaac
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jacob
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 147

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Levi
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kohath
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Amram
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 131

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Moses
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 120

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! style=&quot;text-align:left; color:black;&quot; | LIFESPAN&lt;br/&gt;DURATION&lt;br/&gt;SUM
| colspan=&quot;6&quot; | 210 šūši&lt;br/&gt;(12,600 years)
|}

== PT2 as the Base Model for Patriarchal Chronologies ==
The &quot;PT2&quot; chronology serves as the foundational model from which subsequent patriarchal lifespans in various textual traditions were derived. Evidence for this remains visible across nearly all biblical records, as they consistently preserve the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1).

* '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost.
* '''The Masoretic Text (MT):''' This tradition shifted 6 years from the &quot;Remainder&quot; to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block.
* '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši'''''.
* '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence.

The use of rounded Mesopotamian figures in the Armenian Eusebius Chronology suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the Septuagint's divergence indicates a later development—likely in Alexandria—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;

|+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum)
|-
! rowspan=&quot;2&quot; | Patriarch Groups
! rowspan=&quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;2&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;3&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! style=&quot;background-color:#e3f2fd;&quot; | Masoretic&lt;br/&gt;(MT)
! style=&quot;background-color:#e3f2fd;&quot; | Samaritan&lt;br/&gt;(SP)
! style=&quot;background-color:#fff3e0;&quot; | Josephus&lt;br/&gt;(94 AD)
! style=&quot;background-color:#fff3e0;&quot; | Eusebius&lt;br/&gt;(325 AD)
! style=&quot;background-color:#fff3e0;&quot; | Septuagint&lt;br/&gt;(LXX)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth to Enoch&lt;br/&gt;&lt;small&gt;(6 Patriarchs)&lt;/small&gt;
| colspan=&quot;2&quot; style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
| style=&quot;background-color:#f9f9f9;&quot; | 4834&lt;br/&gt;&lt;small&gt;(4949 - 115)&lt;/small&gt;
| colspan=&quot;3&quot; style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
|-

| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah, Lamech, Noah&lt;br/&gt;&lt;small&gt;(The Remainder)&lt;/small&gt;
| style=&quot;font-weight:bold; background-color:#f9f9f9;&quot; | 2702
| style=&quot;background-color:#f9f9f9;&quot; | 2696&lt;br/&gt;&lt;small&gt;(2702 - 6)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2323&lt;br/&gt;&lt;small&gt;(2702 - 379)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2626&lt;br/&gt;&lt;small&gt;(2702 - 76)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2642&lt;br/&gt;&lt;small&gt;(2702 - 60)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2672&lt;br/&gt;&lt;small&gt;(2702 - 30)&lt;/small&gt;
|-

| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam &amp; Shem to Moses&lt;br/&gt;&lt;small&gt;(The &quot;Second Half&quot;)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
| style=&quot;background-color:#f9f9f9;&quot; | 4955&lt;br/&gt;&lt;small&gt;(4949 + 6)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 4834&lt;br/&gt;&lt;small&gt;(4949 - 115)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | —
| style=&quot;background-color:#f9f9f9;&quot; | 5609&lt;br/&gt;&lt;small&gt;(4949 + 660)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 5930&lt;br/&gt;&lt;small&gt;(4949 + 981)&lt;/small&gt;

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:14px;&quot;
! LIFESPAN DURATION SUM
| colspan=&quot;2&quot; | 12,600
| 11,991
| —
| 13,200
| 13,551
|}
&lt;small&gt;* '''Dash (—)''' indicates where primary sources do not provide complete death data.&lt;/small&gt;

== Comparative Chronology Tables ==

The following table reconstructs lifespan values across multiple chronological traditions. While most values are derived directly from the primary source texts listed in the header, the '''Armenian Eusebius''' chronology does not explicitly record the lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that result in a patriarch surviving beyond the date of the Flood.
* &lt;span style=&quot;color:#333333;&quot;&gt;'''Blank Cells'''&lt;/span&gt; indicate where primary sources do not provide specific lifespan or death data.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! rowspan = &quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;1&quot; rowspan = &quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;2&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;3&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 912

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 905

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 910

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 895

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962
| 847
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969
| 720
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;6&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 777
| 653
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 707
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 723
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 753

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 930

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600
| rowspan=&quot;9&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438
| 538
| 535

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Cainan (II)
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —
| —
| 460

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 433
| 536
| 460

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Eber
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 464
| 404
| 567
| colspan=&quot;2&quot; | 404

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239
| colspan=&quot;2&quot; | 339

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239
| 342
| 339

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Serug
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 230
| colspan=&quot;2&quot; | 330

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 148
| 198
| 304

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205
| 145
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Abraham
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 175

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Isaac
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180
| 185
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jacob
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 147

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Levi
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137
| rowspan=&quot;3&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kohath
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Amram
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 131
| 137
| 136
| colspan=&quot;2&quot; | 132

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Moses
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 120

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! style=&quot;text-align:left; color:black;&quot; | LIFESPAN&lt;br/&gt;DURATION&lt;br/&gt;SUM
| colspan=&quot;2&quot; | 12,600
| colspan=&quot;1&quot; | 11,991
| —
| colspan=&quot;1&quot; | 13,200
| colspan=&quot;1&quot; | 13,551
|}

=== Samaritan Adjustments ===
Four of the pre-flood patriarchs—Jared, Methuselah, Lamech, and Noah—are credited with exceptionally long lives late in the chronology, which creates a potential overlap where these four patriarchs appear to survive Noah's flood. As shown in the above table, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. Other traditions do not employ this specific reduction, but all must address the issue of flood survival, as explained in later sections.

The required reduction in Jared's lifespan was '''115 years'''. Interestingly, as noted in the previous section, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the &quot;Group 1&quot; and &quot;Group 2&quot; patriarchs.

Specifically, this balance was achieved through the following adjustments:
* '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each).
* '''Amram's''' lifespan was increased by five years.

This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing.

=== Masoretic Adjustments ===

In the 2017 article, &quot;[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs],&quot; Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition:

&lt;blockquote&gt;&quot;The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)&quot;&lt;/blockquote&gt;

While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late &quot;tweak&quot; in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges:

&lt;blockquote&gt;&quot;Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above.&quot;&lt;/blockquote&gt;

==== ''Lectio Difficilior Potior'' ====
The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the &quot;harder reading is stronger&quot;) suggests that scribes tend to simplify or &quot;smooth&quot; texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life.

In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges:

* '''Year 500 (of Noah):''' Shem is born.
* '''Year 600 (of Noah):''' The Flood occurs.
* '''Year 700 (of Noah):''' Lamech dies.

This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a &quot;compressed chronology&quot; (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (53, 653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''183 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate &quot;balancing&quot; of total chronological years.

=== Armenian Eusebius Adjustments ===
Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 220 ''šūši'' (or 10 ''šūši'' more than the Masoretic Text). Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system.

Specifically, the following adjustments appear to have occurred for Group 2 patriarchs:
* '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years.
* '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years.
* '''Nahor''' had his lifespan increased by 50 years.
* '''Amram''' had his lifespan increased by 1 year.

The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''.

= It All Started With Grain =

[[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]]

The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the [https://www.biblicalarchaeology.org/daily/news/ancient-bread-jordan/ Black Desert of Jordan]. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops.

The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the &quot;firstfruits of your harvest&quot; (referring to barley) before the Lord:

&lt;blockquote&gt;&quot;then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord&quot;&lt;/blockquote&gt;

To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues:

&lt;blockquote&gt;&quot;And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord.&quot;&lt;/blockquote&gt;

[[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]]

These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the &quot;better things&quot; and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.

This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: 

&lt;blockquote&gt;&quot;And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye &lt;small&gt;(likely emmer wheat or spelt)&lt;/small&gt; were not smitten: for they were not grown up.&quot;&lt;/blockquote&gt;

This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. 

The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest).

=== The Mathematical Structure of Jubilees ===

The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of &quot;weeks&quot;:

* '''Week of Years:''' 7&lt;sup&gt;1&lt;/sup&gt; = 7 years
* '''Jubilee of Years:''' 7&lt;sup&gt;2&lt;/sup&gt; = 49 years
* '''Week of Jubilees:''' 7&lt;sup&gt;3&lt;/sup&gt; = 343 years
* '''Jubilee of Jubilees:''' 7&lt;sup&gt;4&lt;/sup&gt; = 2,401 years

The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land.

[[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]]

The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested &quot;Jubilee of Jubilees&quot; (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle.

* The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year.
* The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years.
* The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid.
* The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs.

== The Birth of Shem (A Digression) ==
Were Noah's sons born when Noah was 500 or 502?

==== The 502 Calculation ====
While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that &quot;Noah was 500 years old, and Noah begat Shem, Ham, and Japheth,&quot; this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: 
# Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). 
# Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10])

'''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples.

==== Competing Narratives ====
According to the Book of Jubilees 4:33, Shem was the oldest son, born in Noah's 500&lt;sup&gt;th&lt;/sup&gt; year, followed by Ham in the 502&lt;sup&gt;nd&lt;/sup&gt; year, and Japheth in the 505&lt;sup&gt;th&lt;/sup&gt;. This seems to be in contradiction with the Genesis narrative which places Shem as the second son in year 502.

==== ''Lectio Difficilior Potior'' ====

The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the harder reading is stronger) suggests that scribes tend to simplify or &quot;smooth&quot; texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life.

In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28%7Cversion=SPE Lamech’s 53rd year]. If we combine that with the 500-year figure for Noah's age at the birth of his sons and the [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB Septuagint figure of 753] for Lamech's death, a suspiciously neat pattern emerges:

* '''Year 500 (of Noah):''' Shem is born.
* '''Year 600 (of Noah):''' The Flood occurs.
* '''Year 700 (of Noah):''' Lamech dies.

This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a &quot;compressed chronology&quot; (500–600–700) is a hallmark of editorial smoothing—likely values adjusted during the introduction of the universal flood narrative to create a more &quot;perfect&quot; structure.

Applying ''Lectio Difficilior'', we can reasonably set aside the figures 53, 500, and 753 as being &quot;too structured to be true,&quot; shifting our focus to less symmetrical values such as '''502''' for Shem's birth.

== The Mathematical relationship between 40 and 49 ==

As noted previously, the ''Jubilees'' author envisions early Hebraic history within a &quot;Jubilee of Jubilees&quot; fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows:

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 (7-3)(7+3) &amp;=  7^2 - 3^2 \\
 &amp;= 49 - 9 \\
 &amp;= 40
\end{aligned}
&lt;/math&gt;

The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40.

[[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] 

Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years):

[[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]]

&lt;div style=&quot;line-height: 1.5;&quot;&gt;
* '''Book of Jubilees (Adam to Canaan)'''
** Pre-Flood Patriarch years:
*:&lt;math display=&quot;block&quot;&gt;\frac{7^4 - 1}{2} + 3^2 = 1200 + 9 = 1209&lt;/math&gt;
** Post-Flood Patriarch years:
*:&lt;math display=&quot;block&quot;&gt;\frac{7^4 + 1}{2} + (7^2 - 3^2) = 1201 + 40 = 1241&lt;/math&gt;
** Total Years:
*:&lt;math display=&quot;block&quot;&gt;7^4 + 7^2 = 2401 + 49 = 2450&lt;/math&gt;
&lt;/div&gt;

== The Samaritan Pentateuch Connection ==
Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition.

[[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]]

=== Determining Chronological Priority ===
A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem is born in year 1207 (reconstructed as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 &quot;Jubilee of Jubilees.&quot;

This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's &quot;pivot&quot; position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment.

=== The 350-Year Symmetrical Extension ===
Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a &quot;week of Jubilees&quot; (343 years) plus a &quot;week of years&quot; (7 years).

&lt;div style=&quot;line-height: 1.5;&quot;&gt;
* '''Book of Jubilees (Adam to Canaan):'''
:&lt;math display=&quot;block&quot;&gt;7^4 + 7^2 = 2401 + 49 = 2450 \text{ years}&lt;/math&gt;

* '''Samaritan Pentateuch (Adam to Conquest):'''
:&lt;math display=&quot;block&quot;&gt;\begin{aligned} \text{(Base 49): } &amp; 7^4 + 7^3 + 7^2 + 7^1 = 2401 + 343 + 49 + 7 = 2800 \\ \text{(Base 40): } &amp; 70 \times 40 = 2800 \end{aligned}&lt;/math&gt;
&lt;/div&gt;

=== Mathematical Structure of the Early Samaritan Chronology ===
To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each):

* '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''.
* '''The second cluster''' represents a second millennium.
* '''The final set''' contains 20 blocks (4x5), representing '''800 years'''.

Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record.


[[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]]

== Living in the Rough ==

[[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]]

As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a &quot;generation&quot;) are less clear, but the number is consistently associated with &quot;living in the rough&quot;—periods of trial, transition, or exile away from the comforts of civilization. 

Examples of this pattern include:
* '''Noah''' lived within the ark for 40 days while the rain fell; 
* '''Israel''' wandered in the wilderness for 40 years; 
* '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. 

Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era.

Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the &quot;civilized&quot; city.

In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means &quot;supplanter&quot;—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a &quot;skillful hunter&quot; and a &quot;man of the field,&quot; while Jacob is &quot;dwelling in tents&quot; and cooking &quot;lentil stew.&quot;

The text draws a clear parallel between these two sets of brothers:
* In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. 
* In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this &quot;clever&quot; intervention, Jacob successfully secures the favor that Cain could not.

Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. 

This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the &quot;rough&quot; of the wilderness.

Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three &quot;generations&quot; (3 x 40).

The relationship between these two &quot;three-fold&quot; lifespans can be expressed by the same nine-year offset identified in the Shem chronology:

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 49 - 9 &amp;= 40 \\
 3(49 - 9) &amp;= 3(40) \\
 147 - 27 &amp;= 120
\end{aligned}
&lt;/math&gt;

[[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] 

Samaritan tradition maintains a unique cultural link to the &quot;pastoralist&quot; ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the &quot;grain-based&quot; agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to &quot;wilderness living,&quot; the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit.

=== A narrative foil for Joshua ===
As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a &quot;foil&quot; for Jacob: Moses lived exactly three &quot;generations&quot; (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization.

This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding &quot;foil&quot; to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam?

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 49 - 9 &amp;= 40 \\
 70(49 - 9) &amp;= 70(40) \\
 3,430 - 630 &amp;= 2,800
\end{aligned}
&lt;/math&gt;

Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific &quot;foil&quot; to Joshua existed in the original architect's mind.

The Samaritans do maintain a continuous, running calendar. However, this system uses a &quot;Conquest Era&quot; epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. For instance, at that time, the [[w:Hyksos|Hyksos]] were only beginning to establish control over Lower Egypt. Furthermore, the [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC.

There is, however, one more possibility to consider: what if the &quot;irreconcilable&quot; nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent &quot;foil&quot; event occurred exactly 3,430 years after Creation? 

As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare &quot;smoking gun&quot; for the artificial design of the chronology.

=== A Mystery Solved ===
In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest.

The significant milestones in this timeline include:
* '''Year 1''': &quot;This year the world and Adam were created.&quot; 
* '''Year 2801''': &quot;The first year of Israel's rule in the land of Canaan.&quot; 
* '''Year 3423''': &quot;The commencement of the kingdom of Solomon.&quot;

According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological &quot;anchor&quot; was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself.

In Creation Year 2800—marking exactly 70 &quot;generations&quot; of 40 years—God entered Canaan in a tent, embodying the &quot;living rough&quot; wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 &quot;Jubilees&quot; of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70&lt;sup&gt;th&lt;/sup&gt; generation to the 70&lt;sup&gt;th&lt;/sup&gt; Jubilee:

:&lt;math&gt;70 \times 40 + (70 \times 9) = 70 \times 49&lt;/math&gt;

=== Mathematical Structure of the Later Samaritan Chronology ===
The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years:

* '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation.
* '''The second cluster''' spans years '''3,000 to 4,000''' after Creation.
* '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation.

The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year &quot;Tabernacle&quot; era''', which is composed of:
* The 40 years of wandering in the wilderness;
* The 6 years of the initial conquest;
* The 630 years between the conquest and the completion of Solomon’s Temple.

Following the '''676-year &quot;Tabernacle&quot; era''' is a '''400-year &quot;First Temple&quot; era''' and a '''70-year &quot;Exile&quot; era''' as detailed in the historical breakdown below.

[[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]]

The Book of Daniel states: &quot;In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it&quot; (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''.

The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure.

High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. 

Using this synchronization, other significant milestones are mapped as follows:
* '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''.
* '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''.
* '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''.

High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year &quot;Second Temple Persian Era&quot; (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. 

The remainder of the diagram represents a 300-year &quot;Second Temple Hellenistic Era,&quot; which concludes in '''Creation Year 4400''' (30 BC).

=== Competing Temples ===
There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year &quot;Second Temple Persian Era&quot; (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework.

According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple:

&lt;blockquote&gt;&quot;But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel&quot; (Ezra 4:3).&lt;/blockquote&gt;

After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population.

[[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]]

This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC.

= The Rise of Zadok =
The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years:

* '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation.
* '''The second cluster''' spans years '''3,000 to 4,000''' after Creation.
* '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation.

The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section.  Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness.  To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event.

[[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]]

The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000.

= Hellenized Jews =
Hellenized Jews were
ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint.
= Start TBD =

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! rowspan = &quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;1&quot; rowspan = &quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962 &lt;br/&gt; &lt;small&gt;(847)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(847)&lt;/small&gt;
| 962 &lt;br/&gt; &lt;small&gt;(1196)&lt;/small&gt;
| 847 &lt;br/&gt; &lt;small&gt;(847)&lt;/small&gt;
| 962 &lt;br/&gt; &lt;small&gt;(1302)&lt;/small&gt;
| colspan=&quot;2&quot; | 962 &lt;br/&gt; &lt;small&gt;(1282)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(1282)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(1302)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(1304)&lt;/small&gt;

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;10&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969 &lt;br/&gt; &lt;small&gt;(721)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(721)&lt;/small&gt;
| 969 &lt;br/&gt; &lt;small&gt;(969)&lt;/small&gt;
| 720 &lt;br/&gt; &lt;small&gt;(720)&lt;/small&gt;
| 969 &lt;br/&gt; &lt;small&gt;(975)&lt;/small&gt;
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969 &lt;br/&gt; &lt;small&gt;(955)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(955)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(975)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(977)&lt;/small&gt;

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783 &lt;br/&gt; &lt;small&gt;(656)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(656)&lt;/small&gt;
| 777 &lt;br/&gt; &lt;small&gt;(782)&lt;/small&gt;
| 653 &lt;br/&gt; &lt;small&gt;(653)&lt;/small&gt;
| 707 &lt;br/&gt; &lt;small&gt;(788)&lt;/small&gt;
| 723 &lt;br/&gt; &lt;small&gt;(788)&lt;/small&gt;
| 753 &lt;br/&gt; &lt;small&gt;(788)&lt;/small&gt;
| colspan=&quot;2&quot; | — &lt;br/&gt; &lt;small&gt;(788)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(790)&lt;/small&gt;

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950 &lt;br/&gt; &lt;small&gt;(601)&lt;/small&gt;
| colspan=&quot;6&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950 &lt;br/&gt; &lt;small&gt;(600)&lt;/small&gt;
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950 &lt;br/&gt; &lt;small&gt;(602)&lt;/small&gt;

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600
| rowspan=&quot;9&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438
| 538
| 535

|}

= End TBD =

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that could result in patriarchs surviving beyond the date of the Flood.
* &lt;span style=&quot;color:#333333;&quot;&gt;'''Blank Cells'''&lt;/span&gt; indicate where primary sources do not provide specific lifespan or death data.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;&quot;
|+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son)

|-
! rowspan=&quot;2&quot; colspan=&quot;1&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Adam
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 130
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 230

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Seth
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 105
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 205

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 90
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 190

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 70
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 170

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 66
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | 65
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 165

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 61
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 162
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 62
| colspan=&quot;6&quot; style=&quot;background-color:#f9f9f9;&quot; | 162

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 65
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 165

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 65
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 187
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 67
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 167 / 187
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 167
| colspan=&quot;2&quot; style=&quot;background-color:#f9f9f9;&quot; | 187

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 55
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 182
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 53
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 182 / 188
| colspan=&quot;5&quot; style=&quot;background-color:#f9f9f9;&quot; | 188

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;9&quot; style=&quot;background-color:#e8e8e8;&quot; | 500 .. 502

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot; style=&quot;text-align:left; color:black;&quot; | Pre-Flood TOTAL
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 1556
| colspan=&quot;1&quot; | 1209
| colspan=&quot;3&quot; | Varied
| colspan=&quot;1&quot; | 2142
| colspan=&quot;1&quot; | 2162
| colspan=&quot;1&quot; | 2164
|}

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;&quot;

|+ Comparison of Post-Flood Chronological Traditions (Age at birth of son)
|-
! colspan=&quot;1&quot; rowspan=&quot;2&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot;  style=&quot;text-align:left; color:black;&quot; | Pre-Flood
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 1556
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 2164
| colspan=&quot;1&quot; | 2162
| colspan=&quot;1&quot; | 2142
| colspan=&quot;3&quot; | Varied

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 100
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 112

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Arphaxad
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 66
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 35
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 135

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Cainan II
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 57
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 130
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 130
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 71
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Eber
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 64
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 34
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 134

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 61
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 59
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 32
| colspan=&quot;5&quot; style=&quot;background-color:#e8e8e8;&quot; | 132
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 135
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Serug	
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 57
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 130
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 132

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 62
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 29
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 79
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 75
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 79 / 179
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 79
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 120

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;9&quot; style=&quot;background-color:#e8e8e8;&quot; | 70

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Abram
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 78
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 75

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Canaan
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 218
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 215

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Egypt
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 238
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 430
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 215
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 430
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 215
|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Sinai +/-
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 40
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | -
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 46
| colspan=&quot;4&quot; style=&quot;background-color:#e8e8e8;&quot; | 40

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot; style=&quot;text-align:left; color:black;&quot; | GRAND TOTAL
| colspan=&quot;1&quot; | 2450
| colspan=&quot;1&quot; | 2666
| colspan=&quot;1&quot; | 2800
| colspan=&quot;1&quot; | 3885
| colspan=&quot;1&quot; | 3754
| colspan=&quot;1&quot; | 3938
| colspan=&quot;3&quot; | Varied
|}

== The Septuagint Chronology ==

While the chronologies of the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' are anchored in Levant-based agricultural cycles and the symbolic interplay of the numbers 40 and 49, the Septuagint (LXX) appears to have been structured around a different set of priorities. Specifically, the LXX's chronological framework seems designed to resolve a significant textual difficulty: the mathematical anomaly of patriarchs potentially outliving the Flood. In the 2017 article, ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', author Paul D. makes the following statement regarding the Septuagint:

&lt;blockquote&gt;“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”&lt;/blockquote&gt;

While Paul D.’s &quot;Whoops Theory&quot; suggests the LXX editor intended to &quot;fix&quot; the timeline but failed in the case of Methuselah, this interpretation potentially overlooks the systemic nature of the changes. If an editor is methodical enough to systematically alter multiple generations by exactly one hundred years, a single &quot;failure&quot; to fix Methuselah could suggest the avoidance of a post-Flood death was not the primary objective.

Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': 

&lt;blockquote&gt;&quot;Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years.&quot;&lt;/blockquote&gt; 

This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development.

=== Demetrius the Chronographer ===
Demetrius the Chronographer, writing as early as the late 3rd century BC (c. 221 BC), represents the earliest known witness to biblical chronological calculations. While only fragments of his work remain, they are significant; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. This presumably places the birth of Shem at 2,164 years—exactly one hundred years before the Flood—aligning his data with the &quot;Long Chronology&quot; of the Septuagint.

In the comment section of the original article, in response to evidence regarding this longer tradition (provided by commenter Roger Quill), Paul D. reaffirms his &quot;Whoops Theory&quot; by challenging the validity of various witnesses to the 187-year begettal age of Methuselah. In this view, Codex Alexandrinus is seen as the lone legitimate witness, while others are discounted: 

* '''Josephus:''' Characterized as dependent on the Masoretic tradition.
* '''Pseudo-Philo:''' Dismissed due to textual corruption (&quot;a real mess&quot;).
* '''Julius Africanus:''' Questioned because his records survive only through the later intermediary, Syncellus.
* '''Demetrius:''' Rejected as a witness because his chronology contains an additional 22 years (rather than the typical 20-year variance) whose precise placement remains unknown.

The claim that Julius Africanus is invalidated due to his survival through an intermediary, or that Demetrius is disqualified by a 22-year variance, is arguably overstated. A plausible explanation for the discrepancy in Demetrius's chronology is the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can easily account for such variances without necessitating the rejection of the witnesses.

=== The Correlations ===
An interesting piece of corroborating evidence exists in the previously mentioned 1864 publication by Rev. John Mills, ''Three Months' Residence at Nablus'', where High Priest Amram records his own chronological dates based on the Samaritan Pentateuch. Priest Amram lists the Flood date as 1307 years after creation, but then lists the birth of Arphaxad as 1309 years—exactly two years after the Flood—which presumably places Shem's birth in year 502 of Noah's life (though Shem's actual birth date in the text is obscured by a typo).

The internal tension in Priest Amram's calculations likely reflects the same two-year variance seen between Demetrius and Africanus. Priest Amram lists the birth years of Shelah, Eber, and Peleg as 1444, 1574, and 1708, respectively. Africanus lists those same birth years as 2397, 2527, and 2661. In each case, the Priest Amram figure differs from the Africanus value by exactly 953 years. While the chronology of Africanus may reach us through an intermediary, as Paul D. notes, the values provided by both Demetrius and Africanus are precisely what one would anticipate to resolve the &quot;Universal Flood&quot; problem.


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      <text bytes="87417" sha1="ov4mibgxqfzbw5o54aif3u1kpejytkq" xml:space="preserve">{{Original research}}
This page evaluates and extends the mathematical insights presented in the 2017 article, ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'' by Paul D. While the original article provides a compelling foundation, this analysis identifies areas where the underlying data and mathematical evidence are more robust than initially presented. The following sections aim to clarify these findings and offer a more precise structural framework.

== Summary of Main Arguments ==
The ages of the patriarchs in Genesis are not intended as historical records, but as a complex symbolic mathematical structure designed by ancient authors. Key points include:

* '''Artificial Mathematical Design:''' Patriarchal ages and event years are based on symbolic or &quot;perfect&quot; numbers (such as 7, 49, and 60) rather than biological or historical reality.
* '''Alignment with Sacred Cycles:''' The chronologies are designed to align significant events—such as the Exodus and the dedication of Solomon’s Temple—with specific &quot;years of the world&quot; (''Anno Mundi''), synchronizing human history with a divine calendar.
* '''The Universal Flood as a Later Insertion:''' Evidence suggests the universal scope of Noah's Flood was a later addition to a patriarchal foundation story. This insertion disrupted the original timelines, forcing recalibrations in the Masoretic Text (MT), Samaritan Pentateuch (SP), and Septuagint (LXX) to avoid chronological contradictions.
* '''Chronological Overlaps:''' In the original numerical framework (prior to recalibration for a universal flood), the mathematical structures resulted in overlaps where certain patriarchs, such as Methuselah, survived beyond the date of the Flood.

= Arichat Yamim =

Most of the patriarchs' lifespans in the Hebrew Bible far exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101).

This phenomenon is difficult to explain, as no known ancient number system features &quot;101&quot; as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle.
 
In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a &quot;perfect&quot; Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows:

*:&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
\frac{7\,\text{šar}}{2} &amp;= 3\,\text{šar}\,\,30\,\text{šūši}  \\ 
&amp;= \left(3 \times 60^2 \, \text{years} \right) + \left(30 \times 60^1 \,\text{years} \right) \\ 
&amp;= 10,800 \, \text{years} + 1,800 \, \text{years} \\
&amp;= 12,600 \, \text{years}
\end{aligned}
&lt;/math&gt;

This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60).

==== Prototype 1: Initial &quot;Mesopotamian&quot; Allocation ====

----

&lt;div style=&quot;background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;&quot;&gt;
The initial &quot;PT1&quot; framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''):

* '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49).
* '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''.
* '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920).
&lt;/div&gt;

----

==== Prototype 2: Refined &quot;Jubilee&quot; Allocation ====

----

&lt;div style=&quot;background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;&quot;&gt;
Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the &quot;Remainder&quot; to each of the two primary groups. This resulted in the &quot;PT2&quot; figures as follows:

* '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees).
* '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees).
* '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949).
&lt;/div&gt;

----

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that result in a patriarch surviving beyond the date of the Flood.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e0f2f1; border-bottom:2px solid #009688;&quot; | PROTOTYPE 1&lt;br/&gt;(PT1)
! colspan=&quot;3&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PROTOTYPE 2&lt;br/&gt;(PT2)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;82 šūši&lt;br/&gt;(4920)&lt;/div&gt;
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;45 šūši&lt;br/&gt;(2700)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;4949&lt;/div&gt;
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2727&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 912

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 905

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 910

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;37 šūši&lt;br/&gt;(2220)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2222&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 895

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 6 (360)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot;  | Methuselah
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;46 šūši&lt;br/&gt;(2760)&lt;/div&gt;
| rowspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;32 šūši&lt;br/&gt;(1920)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2702&lt;/div&gt;
| rowspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1919&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 14 (880)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 14 (840)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam
| rowspan=&quot;18&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;82 šūši&lt;br/&gt;(4920)&lt;/div&gt;
| rowspan=&quot;5&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;40 šūši&lt;br/&gt;(2400)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 16 (960)
| rowspan=&quot;18&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;4949&lt;/div&gt;
| rowspan=&quot;5&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2401&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 930

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 10 (600)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 7 (420)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Cainan (II)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 7 (420)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 433

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Eber
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;25 šūši&lt;br/&gt;(1500)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 8 (480)
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1525&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 464

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 4 (240)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 4 (240)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Serug
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 230

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 148

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Abraham
| rowspan=&quot;7&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;17 šūši&lt;br/&gt;(1020)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| rowspan=&quot;7&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1023&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 175

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Isaac
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jacob
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 147

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Levi
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kohath
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Amram
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 131

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Moses
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 120

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! style=&quot;text-align:left; color:black;&quot; | LIFESPAN&lt;br/&gt;DURATION&lt;br/&gt;SUM
| colspan=&quot;6&quot; | 210 šūši&lt;br/&gt;(12,600 years)
|}

== PT2 as the Base Model for Patriarchal Chronologies ==
The &quot;PT2&quot; chronology serves as the foundational model from which subsequent patriarchal lifespans in various textual traditions were derived. Evidence for this remains visible across nearly all biblical records, as they consistently preserve the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1).

* '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost.
* '''The Masoretic Text (MT):''' This tradition shifted 6 years from the &quot;Remainder&quot; to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block.
* '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši'''''.
* '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence.

The use of rounded Mesopotamian figures in the Armenian Eusebius Chronology suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the Septuagint's divergence indicates a later development—likely in Alexandria—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;

|+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum)
|-
! rowspan=&quot;2&quot; | Patriarch Groups
! rowspan=&quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;2&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;3&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! style=&quot;background-color:#e3f2fd;&quot; | Masoretic&lt;br/&gt;(MT)
! style=&quot;background-color:#e3f2fd;&quot; | Samaritan&lt;br/&gt;(SP)
! style=&quot;background-color:#fff3e0;&quot; | Josephus&lt;br/&gt;(94 AD)
! style=&quot;background-color:#fff3e0;&quot; | Eusebius&lt;br/&gt;(325 AD)
! style=&quot;background-color:#fff3e0;&quot; | Septuagint&lt;br/&gt;(LXX)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth to Enoch&lt;br/&gt;&lt;small&gt;(6 Patriarchs)&lt;/small&gt;
| colspan=&quot;2&quot; style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
| style=&quot;background-color:#f9f9f9;&quot; | 4834&lt;br/&gt;&lt;small&gt;(4949 - 115)&lt;/small&gt;
| colspan=&quot;3&quot; style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
|-

| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah, Lamech, Noah&lt;br/&gt;&lt;small&gt;(The Remainder)&lt;/small&gt;
| style=&quot;font-weight:bold; background-color:#f9f9f9;&quot; | 2702
| style=&quot;background-color:#f9f9f9;&quot; | 2696&lt;br/&gt;&lt;small&gt;(2702 - 6)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2323&lt;br/&gt;&lt;small&gt;(2702 - 379)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2626&lt;br/&gt;&lt;small&gt;(2702 - 76)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2642&lt;br/&gt;&lt;small&gt;(2702 - 60)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2672&lt;br/&gt;&lt;small&gt;(2702 - 30)&lt;/small&gt;
|-

| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam &amp; Shem to Moses&lt;br/&gt;&lt;small&gt;(The &quot;Second Half&quot;)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
| style=&quot;background-color:#f9f9f9;&quot; | 4955&lt;br/&gt;&lt;small&gt;(4949 + 6)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 4834&lt;br/&gt;&lt;small&gt;(4949 - 115)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | —
| style=&quot;background-color:#f9f9f9;&quot; | 5609&lt;br/&gt;&lt;small&gt;(4949 + 660)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 5930&lt;br/&gt;&lt;small&gt;(4949 + 981)&lt;/small&gt;

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:14px;&quot;
! LIFESPAN DURATION SUM
| colspan=&quot;2&quot; | 12,600
| 11,991
| —
| 13,200
| 13,551
|}
&lt;small&gt;* '''Dash (—)''' indicates where primary sources do not provide complete death data.&lt;/small&gt;

== Comparative Chronology Tables ==

The following table reconstructs lifespan values across multiple chronological traditions. While most values are derived directly from the primary source texts listed in the header, the '''Armenian Eusebius''' chronology does not explicitly record the lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that result in a patriarch surviving beyond the date of the Flood.
* &lt;span style=&quot;color:#333333;&quot;&gt;'''Blank Cells'''&lt;/span&gt; indicate where primary sources do not provide specific lifespan or death data.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! rowspan = &quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;1&quot; rowspan = &quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;2&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;3&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 912

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 905

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 910

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 895

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962
| 847
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969
| 720
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;6&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 777
| 653
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 707
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 723
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 753

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 930

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600
| rowspan=&quot;9&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438
| 538
| 535

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Cainan (II)
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —
| —
| 460

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 433
| 536
| 460

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Eber
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 464
| 404
| 567
| colspan=&quot;2&quot; | 404

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239
| colspan=&quot;2&quot; | 339

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239
| 342
| 339

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Serug
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 230
| colspan=&quot;2&quot; | 330

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 148
| 198
| 304

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205
| 145
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Abraham
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 175

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Isaac
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180
| 185
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jacob
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 147

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Levi
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137
| rowspan=&quot;3&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kohath
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Amram
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 131
| 137
| 136
| colspan=&quot;2&quot; | 132

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Moses
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 120

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! style=&quot;text-align:left; color:black;&quot; | LIFESPAN&lt;br/&gt;DURATION&lt;br/&gt;SUM
| colspan=&quot;2&quot; | 12,600
| colspan=&quot;1&quot; | 11,991
| —
| colspan=&quot;1&quot; | 13,200
| colspan=&quot;1&quot; | 13,551
|}

=== Samaritan Adjustments ===
Four of the pre-flood patriarchs—Jared, Methuselah, Lamech, and Noah—are credited with exceptionally long lives late in the chronology, which creates a potential overlap where these four patriarchs appear to survive Noah's flood. As shown in the above table, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. Other traditions do not employ this specific reduction, but all must address the issue of flood survival, as explained in later sections.

The required reduction in Jared's lifespan was '''115 years'''. Interestingly, as noted in the previous section, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the &quot;Group 1&quot; and &quot;Group 2&quot; patriarchs.

Specifically, this balance was achieved through the following adjustments:
* '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each).
* '''Amram's''' lifespan was increased by five years.

This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing.

=== Masoretic Adjustments ===

In the 2017 article, &quot;[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs],&quot; Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition:

&lt;blockquote&gt;&quot;The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)&quot;&lt;/blockquote&gt;

While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late &quot;tweak&quot; in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges:

&lt;blockquote&gt;&quot;Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above.&quot;&lt;/blockquote&gt;

==== ''Lectio Difficilior Potior'' ====
The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the &quot;harder reading is stronger&quot;) suggests that scribes tend to simplify or &quot;smooth&quot; texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life.

In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges:

* '''Year 500 (of Noah):''' Shem is born.
* '''Year 600 (of Noah):''' The Flood occurs.
* '''Year 700 (of Noah):''' Lamech dies.

This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a &quot;compressed chronology&quot; (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (53, 653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''183 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate &quot;balancing&quot; of total chronological years.

=== Armenian Eusebius Adjustments ===
Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 220 ''šūši'' (or 10 ''šūši'' more than the Masoretic Text). Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system.

Specifically, the following adjustments appear to have occurred for Group 2 patriarchs:
* '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years.
* '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years.
* '''Nahor''' had his lifespan increased by 50 years.
* '''Amram''' had his lifespan increased by 1 year.

The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''.

= It All Started With Grain =

[[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]]

The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the [https://www.biblicalarchaeology.org/daily/news/ancient-bread-jordan/ Black Desert of Jordan]. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops.

The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the &quot;firstfruits of your harvest&quot; (referring to barley) before the Lord:

&lt;blockquote&gt;&quot;then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord&quot;&lt;/blockquote&gt;

To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues:

&lt;blockquote&gt;&quot;And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord.&quot;&lt;/blockquote&gt;

[[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]]

These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the &quot;better things&quot; and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.

This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: 

&lt;blockquote&gt;&quot;And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye &lt;small&gt;(likely emmer wheat or spelt)&lt;/small&gt; were not smitten: for they were not grown up.&quot;&lt;/blockquote&gt;

This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. 

The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest).

=== The Mathematical Structure of Jubilees ===

The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of &quot;weeks&quot;:

* '''Week of Years:''' 7&lt;sup&gt;1&lt;/sup&gt; = 7 years
* '''Jubilee of Years:''' 7&lt;sup&gt;2&lt;/sup&gt; = 49 years
* '''Week of Jubilees:''' 7&lt;sup&gt;3&lt;/sup&gt; = 343 years
* '''Jubilee of Jubilees:''' 7&lt;sup&gt;4&lt;/sup&gt; = 2,401 years

The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land.

[[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]]

The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested &quot;Jubilee of Jubilees&quot; (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle.

* The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year.
* The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years.
* The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid.
* The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs.

== The Birth of Shem (A Digression) ==
Were Noah's sons born when Noah was 500 or 502?

==== The 502 Calculation ====
While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that &quot;Noah was 500 years old, and Noah begat Shem, Ham, and Japheth,&quot; this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: 
# Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). 
# Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10])

'''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples.

==== Competing Narratives ====
According to the Book of Jubilees 4:33, Shem was the oldest son, born in Noah's 500&lt;sup&gt;th&lt;/sup&gt; year, followed by Ham in the 502&lt;sup&gt;nd&lt;/sup&gt; year, and Japheth in the 505&lt;sup&gt;th&lt;/sup&gt;. This seems to be in contradiction with the Genesis narrative which places Shem as the second son in year 502.

==== ''Lectio Difficilior Potior'' ====

The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the harder reading is stronger) suggests that scribes tend to simplify or &quot;smooth&quot; texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life.

In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28%7Cversion=SPE Lamech’s 53rd year]. If we combine that with the 500-year figure for Noah's age at the birth of his sons and the [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB Septuagint figure of 753] for Lamech's death, a suspiciously neat pattern emerges:

* '''Year 500 (of Noah):''' Shem is born.
* '''Year 600 (of Noah):''' The Flood occurs.
* '''Year 700 (of Noah):''' Lamech dies.

This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a &quot;compressed chronology&quot; (500–600–700) is a hallmark of editorial smoothing—likely values adjusted during the introduction of the universal flood narrative to create a more &quot;perfect&quot; structure.

Applying ''Lectio Difficilior'', we can reasonably set aside the figures 53, 500, and 753 as being &quot;too structured to be true,&quot; shifting our focus to less symmetrical values such as '''502''' for Shem's birth.

== The Mathematical relationship between 40 and 49 ==

As noted previously, the ''Jubilees'' author envisions early Hebraic history within a &quot;Jubilee of Jubilees&quot; fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows:

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 (7-3)(7+3) &amp;=  7^2 - 3^2 \\
 &amp;= 49 - 9 \\
 &amp;= 40
\end{aligned}
&lt;/math&gt;

The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40.

[[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] 

Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years):

[[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]]

&lt;div style=&quot;line-height: 1.5;&quot;&gt;
* '''Book of Jubilees (Adam to Canaan)'''
** Pre-Flood Patriarch years:
*:&lt;math display=&quot;block&quot;&gt;\frac{7^4 - 1}{2} + 3^2 = 1200 + 9 = 1209&lt;/math&gt;
** Post-Flood Patriarch years:
*:&lt;math display=&quot;block&quot;&gt;\frac{7^4 + 1}{2} + (7^2 - 3^2) = 1201 + 40 = 1241&lt;/math&gt;
** Total Years:
*:&lt;math display=&quot;block&quot;&gt;7^4 + 7^2 = 2401 + 49 = 2450&lt;/math&gt;
&lt;/div&gt;

== The Samaritan Pentateuch Connection ==
Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition.

[[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]]

=== Determining Chronological Priority ===
A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem is born in year 1207 (reconstructed as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 &quot;Jubilee of Jubilees.&quot;

This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's &quot;pivot&quot; position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment.

=== The 350-Year Symmetrical Extension ===
Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a &quot;week of Jubilees&quot; (343 years) plus a &quot;week of years&quot; (7 years).

&lt;div style=&quot;line-height: 1.5;&quot;&gt;
* '''Book of Jubilees (Adam to Canaan):'''
:&lt;math display=&quot;block&quot;&gt;7^4 + 7^2 = 2401 + 49 = 2450 \text{ years}&lt;/math&gt;

* '''Samaritan Pentateuch (Adam to Conquest):'''
:&lt;math display=&quot;block&quot;&gt;\begin{aligned} \text{(Base 49): } &amp; 7^4 + 7^3 + 7^2 + 7^1 = 2401 + 343 + 49 + 7 = 2800 \\ \text{(Base 40): } &amp; 70 \times 40 = 2800 \end{aligned}&lt;/math&gt;
&lt;/div&gt;

=== Mathematical Structure of the Early Samaritan Chronology ===
To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each):

* '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''.
* '''The second cluster''' represents a second millennium.
* '''The final set''' contains 20 blocks (4x5), representing '''800 years'''.

Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record.


[[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]]

== Living in the Rough ==

[[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]]

As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a &quot;generation&quot;) are less clear, but the number is consistently associated with &quot;living in the rough&quot;—periods of trial, transition, or exile away from the comforts of civilization. 

Examples of this pattern include:
* '''Noah''' lived within the ark for 40 days while the rain fell; 
* '''Israel''' wandered in the wilderness for 40 years; 
* '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. 

Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era.

Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the &quot;civilized&quot; city.

In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means &quot;supplanter&quot;—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a &quot;skillful hunter&quot; and a &quot;man of the field,&quot; while Jacob is &quot;dwelling in tents&quot; and cooking &quot;lentil stew.&quot;

The text draws a clear parallel between these two sets of brothers:
* In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. 
* In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this &quot;clever&quot; intervention, Jacob successfully secures the favor that Cain could not.

Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. 

This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the &quot;rough&quot; of the wilderness.

Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three &quot;generations&quot; (3 x 40).

The relationship between these two &quot;three-fold&quot; lifespans can be expressed by the same nine-year offset identified in the Shem chronology:

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 49 - 9 &amp;= 40 \\
 3(49 - 9) &amp;= 3(40) \\
 147 - 27 &amp;= 120
\end{aligned}
&lt;/math&gt;

[[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] 

Samaritan tradition maintains a unique cultural link to the &quot;pastoralist&quot; ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the &quot;grain-based&quot; agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to &quot;wilderness living,&quot; the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit.

=== A narrative foil for Joshua ===
As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a &quot;foil&quot; for Jacob: Moses lived exactly three &quot;generations&quot; (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization.

This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding &quot;foil&quot; to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam?

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 49 - 9 &amp;= 40 \\
 70(49 - 9) &amp;= 70(40) \\
 3,430 - 630 &amp;= 2,800
\end{aligned}
&lt;/math&gt;

Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific &quot;foil&quot; to Joshua existed in the original architect's mind.

The Samaritans do maintain a continuous, running calendar. However, this system uses a &quot;Conquest Era&quot; epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. For instance, at that time, the [[w:Hyksos|Hyksos]] were only beginning to establish control over Lower Egypt. Furthermore, the [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC.

There is, however, one more possibility to consider: what if the &quot;irreconcilable&quot; nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent &quot;foil&quot; event occurred exactly 3,430 years after Creation? 

As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare &quot;smoking gun&quot; for the artificial design of the chronology.

=== A Mystery Solved ===
In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest.

The significant milestones in this timeline include:
* '''Year 1''': &quot;This year the world and Adam were created.&quot; 
* '''Year 2801''': &quot;The first year of Israel's rule in the land of Canaan.&quot; 
* '''Year 3423''': &quot;The commencement of the kingdom of Solomon.&quot;

According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological &quot;anchor&quot; was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself.

In Creation Year 2800—marking exactly 70 &quot;generations&quot; of 40 years—God entered Canaan in a tent, embodying the &quot;living rough&quot; wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 &quot;Jubilees&quot; of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70&lt;sup&gt;th&lt;/sup&gt; generation to the 70&lt;sup&gt;th&lt;/sup&gt; Jubilee:

:&lt;math&gt;70 \times 40 + (70 \times 9) = 70 \times 49&lt;/math&gt;

=== Mathematical Structure of the Later Samaritan Chronology ===
The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years:

* '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation.
* '''The second cluster''' spans years '''3,000 to 4,000''' after Creation.
* '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation.

The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year &quot;Tabernacle&quot; era''', which is composed of:
* The 40 years of wandering in the wilderness;
* The 6 years of the initial conquest;
* The 630 years between the conquest and the completion of Solomon’s Temple.

Following the '''676-year &quot;Tabernacle&quot; era''' is a '''400-year &quot;First Temple&quot; era''' and a '''70-year &quot;Exile&quot; era''' as detailed in the historical breakdown below.

[[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]]

The Book of Daniel states: &quot;In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it&quot; (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''.

The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure.

High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. 

Using this synchronization, other significant milestones are mapped as follows:
* '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''.
* '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''.
* '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''.

High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year &quot;Second Temple Persian Era&quot; (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. 

The remainder of the diagram represents a 300-year &quot;Second Temple Hellenistic Era,&quot; which concludes in '''Creation Year 4400''' (30 BC).

=== Competing Temples ===
There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year &quot;Second Temple Persian Era&quot; (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework.

According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple:

&lt;blockquote&gt;&quot;But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel&quot; (Ezra 4:3).&lt;/blockquote&gt;

After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population.

[[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]]

This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC.

= The Rise of Zadok =
The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years:

* '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation.
* '''The second cluster''' spans years '''3,000 to 4,000''' after Creation.
* '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation.

The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section.  Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness.  To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event.

[[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]]

The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000.

= Hellenized Jews =
Hellenized Jews were
ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint.
= Start TBD =

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! rowspan = &quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;1&quot; rowspan = &quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962 &lt;br/&gt; &lt;small&gt;(847)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(847)&lt;/small&gt;
| 962 &lt;br/&gt; &lt;small&gt;(1196)&lt;/small&gt;
| 847 &lt;br/&gt; &lt;small&gt;(847)&lt;/small&gt;
| 962 &lt;br/&gt; &lt;small&gt;(1302)&lt;/small&gt;
| colspan=&quot;2&quot; | 962 &lt;br/&gt; &lt;small&gt;(1282)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(1282)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(1302)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(1304)&lt;/small&gt;

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;10&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969 &lt;br/&gt; &lt;small&gt;(721)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(721)&lt;/small&gt;
| 969 &lt;br/&gt; &lt;small&gt;(969)&lt;/small&gt;
| 720 &lt;br/&gt; &lt;small&gt;(720)&lt;/small&gt;
| 969 &lt;br/&gt; &lt;small&gt;(975)&lt;/small&gt;
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969 &lt;br/&gt; &lt;small&gt;(955)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(955)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(975)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(977)&lt;/small&gt;

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783 &lt;br/&gt; &lt;small&gt;(656)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(656)&lt;/small&gt;
| 777 &lt;br/&gt; &lt;small&gt;(782)&lt;/small&gt;
| 653 &lt;br/&gt; &lt;small&gt;(653)&lt;/small&gt;
| 707 &lt;br/&gt; &lt;small&gt;(788)&lt;/small&gt;
| 723 &lt;br/&gt; &lt;small&gt;(788)&lt;/small&gt;
| 753 &lt;br/&gt; &lt;small&gt;(788)&lt;/small&gt;
| colspan=&quot;2&quot; | — &lt;br/&gt; &lt;small&gt;(788)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(790)&lt;/small&gt;

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950 &lt;br/&gt; &lt;small&gt;(601)&lt;/small&gt;
| colspan=&quot;6&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950 &lt;br/&gt; &lt;small&gt;(600)&lt;/small&gt;
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | — &lt;br/&gt; &lt;small&gt;(600)&lt;/small&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | — &lt;br/&gt; &lt;small&gt;(602)&lt;/small&gt;

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600
| rowspan=&quot;9&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438
| 538
| 535

|}

= End TBD =

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that could result in patriarchs surviving beyond the date of the Flood.
* &lt;span style=&quot;color:#333333;&quot;&gt;'''Blank Cells'''&lt;/span&gt; indicate where primary sources do not provide specific lifespan or death data.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;&quot;
|+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son)

|-
! rowspan=&quot;2&quot; colspan=&quot;1&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Adam
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 130
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 230

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Seth
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 105
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 205

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 90
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 190

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 70
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 170

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 66
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | 65
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 165

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 61
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 162
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 62
| colspan=&quot;6&quot; style=&quot;background-color:#f9f9f9;&quot; | 162

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 65
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 165

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 65
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 187
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 67
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 167 / 187
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 167
| colspan=&quot;2&quot; style=&quot;background-color:#f9f9f9;&quot; | 187

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 55
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 182
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 53
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 182 / 188
| colspan=&quot;5&quot; style=&quot;background-color:#f9f9f9;&quot; | 188

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;9&quot; style=&quot;background-color:#e8e8e8;&quot; | 500 .. 502

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot; style=&quot;text-align:left; color:black;&quot; | Pre-Flood TOTAL
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 1556
| colspan=&quot;1&quot; | 1209
| colspan=&quot;3&quot; | Varied
| colspan=&quot;1&quot; | 2142
| colspan=&quot;1&quot; | 2162
| colspan=&quot;1&quot; | 2164
|}

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;&quot;

|+ Comparison of Post-Flood Chronological Traditions (Age at birth of son)
|-
! colspan=&quot;1&quot; rowspan=&quot;2&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot;  style=&quot;text-align:left; color:black;&quot; | Pre-Flood
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 1556
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 2164
| colspan=&quot;1&quot; | 2162
| colspan=&quot;1&quot; | 2142
| colspan=&quot;3&quot; | Varied

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 100
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 112

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Arphaxad
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 66
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 35
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 135

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Cainan II
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 57
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 130
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 130
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 71
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Eber
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 64
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 34
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 134

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 61
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 59
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 32
| colspan=&quot;5&quot; style=&quot;background-color:#e8e8e8;&quot; | 132
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 135
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Serug	
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 57
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 130
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 132

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 62
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 29
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 79
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 75
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 79 / 179
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 79
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 120

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;9&quot; style=&quot;background-color:#e8e8e8;&quot; | 70

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Abram
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 78
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 75

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Canaan
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 218
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 215

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Egypt
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 238
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 430
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 215
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 430
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 215
|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Sinai +/-
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 40
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | -
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 46
| colspan=&quot;4&quot; style=&quot;background-color:#e8e8e8;&quot; | 40

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot; style=&quot;text-align:left; color:black;&quot; | GRAND TOTAL
| colspan=&quot;1&quot; | 2450
| colspan=&quot;1&quot; | 2666
| colspan=&quot;1&quot; | 2800
| colspan=&quot;1&quot; | 3885
| colspan=&quot;1&quot; | 3754
| colspan=&quot;1&quot; | 3938
| colspan=&quot;3&quot; | Varied
|}

== The Septuagint Chronology ==

While the chronologies of the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' are anchored in Levant-based agricultural cycles and the symbolic interplay of the numbers 40 and 49, the Septuagint (LXX) appears to have been structured around a different set of priorities. Specifically, the LXX's chronological framework seems designed to resolve a significant textual difficulty: the mathematical anomaly of patriarchs potentially outliving the Flood. In the 2017 article, ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', author Paul D. makes the following statement regarding the Septuagint:

&lt;blockquote&gt;“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”&lt;/blockquote&gt;

While Paul D.’s &quot;Whoops Theory&quot; suggests the LXX editor intended to &quot;fix&quot; the timeline but failed in the case of Methuselah, this interpretation potentially overlooks the systemic nature of the changes. If an editor is methodical enough to systematically alter multiple generations by exactly one hundred years, a single &quot;failure&quot; to fix Methuselah could suggest the avoidance of a post-Flood death was not the primary objective.

Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': 

&lt;blockquote&gt;&quot;Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years.&quot;&lt;/blockquote&gt; 

This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development.

=== Demetrius the Chronographer ===
Demetrius the Chronographer, writing as early as the late 3rd century BC (c. 221 BC), represents the earliest known witness to biblical chronological calculations. While only fragments of his work remain, they are significant; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. This presumably places the birth of Shem at 2,164 years—exactly one hundred years before the Flood—aligning his data with the &quot;Long Chronology&quot; of the Septuagint.

In the comment section of the original article, in response to evidence regarding this longer tradition (provided by commenter Roger Quill), Paul D. reaffirms his &quot;Whoops Theory&quot; by challenging the validity of various witnesses to the 187-year begettal age of Methuselah. In this view, Codex Alexandrinus is seen as the lone legitimate witness, while others are discounted: 

* '''Josephus:''' Characterized as dependent on the Masoretic tradition.
* '''Pseudo-Philo:''' Dismissed due to textual corruption (&quot;a real mess&quot;).
* '''Julius Africanus:''' Questioned because his records survive only through the later intermediary, Syncellus.
* '''Demetrius:''' Rejected as a witness because his chronology contains an additional 22 years (rather than the typical 20-year variance) whose precise placement remains unknown.

The claim that Julius Africanus is invalidated due to his survival through an intermediary, or that Demetrius is disqualified by a 22-year variance, is arguably overstated. A plausible explanation for the discrepancy in Demetrius's chronology is the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can easily account for such variances without necessitating the rejection of the witnesses.

=== The Correlations ===
An interesting piece of corroborating evidence exists in the previously mentioned 1864 publication by Rev. John Mills, ''Three Months' Residence at Nablus'', where High Priest Amram records his own chronological dates based on the Samaritan Pentateuch. Priest Amram lists the Flood date as 1307 years after creation, but then lists the birth of Arphaxad as 1309 years—exactly two years after the Flood—which presumably places Shem's birth in year 502 of Noah's life (though Shem's actual birth date in the text is obscured by a typo).

The internal tension in Priest Amram's calculations likely reflects the same two-year variance seen between Demetrius and Africanus. Priest Amram lists the birth years of Shelah, Eber, and Peleg as 1444, 1574, and 1708, respectively. Africanus lists those same birth years as 2397, 2527, and 2661. In each case, the Priest Amram figure differs from the Africanus value by exactly 953 years. While the chronology of Africanus may reach us through an intermediary, as Paul D. notes, the values provided by both Demetrius and Africanus are precisely what one would anticipate to resolve the &quot;Universal Flood&quot; problem.


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      <text bytes="87417" sha1="5wlnfu41yt5imijr90yxe3xn2yshzn4" xml:space="preserve">{{Original research}}
This page evaluates and extends the mathematical insights presented in the 2017 article, ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'' by Paul D. While the original article provides a compelling foundation, this analysis identifies areas where the underlying data and mathematical evidence are more robust than initially presented. The following sections aim to clarify these findings and offer a more precise structural framework.

== Summary of Main Arguments ==
The ages of the patriarchs in Genesis are not intended as historical records, but as a complex symbolic mathematical structure designed by ancient authors. Key points include:

* '''Artificial Mathematical Design:''' Patriarchal ages and event years are based on symbolic or &quot;perfect&quot; numbers (such as 7, 49, and 60) rather than biological or historical reality.
* '''Alignment with Sacred Cycles:''' The chronologies are designed to align significant events—such as the Exodus and the dedication of Solomon’s Temple—with specific &quot;years of the world&quot; (''Anno Mundi''), synchronizing human history with a divine calendar.
* '''The Universal Flood as a Later Insertion:''' Evidence suggests the universal scope of Noah's Flood was a later addition to a patriarchal foundation story. This insertion disrupted the original timelines, forcing recalibrations in the Masoretic Text (MT), Samaritan Pentateuch (SP), and Septuagint (LXX) to avoid chronological contradictions.
* '''Chronological Overlaps:''' In the original numerical framework (prior to recalibration for a universal flood), the mathematical structures resulted in overlaps where certain patriarchs, such as Methuselah, survived beyond the date of the Flood.

= Arichat Yamim =

Most of the patriarchs' lifespans in the Hebrew Bible far exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101).

This phenomenon is difficult to explain, as no known ancient number system features &quot;101&quot; as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle.
 
In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a &quot;perfect&quot; Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows:

*:&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
\frac{7\,\text{šar}}{2} &amp;= 3\,\text{šar}\,\,30\,\text{šūši}  \\ 
&amp;= \left(3 \times 60^2 \, \text{years} \right) + \left(30 \times 60^1 \,\text{years} \right) \\ 
&amp;= 10,800 \, \text{years} + 1,800 \, \text{years} \\
&amp;= 12,600 \, \text{years}
\end{aligned}
&lt;/math&gt;

This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60).

==== Prototype 1: Initial &quot;Mesopotamian&quot; Allocation ====

----

&lt;div style=&quot;background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;&quot;&gt;
The initial &quot;PT1&quot; framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''):

* '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49).
* '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''.
* '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920).
&lt;/div&gt;

----

==== Prototype 2: Refined &quot;Jubilee&quot; Allocation ====

----

&lt;div style=&quot;background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;&quot;&gt;
Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the &quot;Remainder&quot; to each of the two primary groups. This resulted in the &quot;PT2&quot; figures as follows:

* '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees).
* '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees).
* '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949).
&lt;/div&gt;

----

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that result in a patriarch surviving beyond the date of the Flood.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e0f2f1; border-bottom:2px solid #009688;&quot; | PROTOTYPE 1&lt;br/&gt;(PT1)
! colspan=&quot;3&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PROTOTYPE 2&lt;br/&gt;(PT2)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;82 šūši&lt;br/&gt;(4920)&lt;/div&gt;
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;45 šūši&lt;br/&gt;(2700)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;4949&lt;/div&gt;
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2727&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 912

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 905

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 910

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;37 šūši&lt;br/&gt;(2220)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2222&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 895

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 6 (360)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot;  | Methuselah
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;46 šūši&lt;br/&gt;(2760)&lt;/div&gt;
| rowspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;32 šūši&lt;br/&gt;(1920)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2702&lt;/div&gt;
| rowspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1919&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 14 (880)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 14 (840)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam
| rowspan=&quot;18&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;82 šūši&lt;br/&gt;(4920)&lt;/div&gt;
| rowspan=&quot;5&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;40 šūši&lt;br/&gt;(2400)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 16 (960)
| rowspan=&quot;18&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;4949&lt;/div&gt;
| rowspan=&quot;5&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2401&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 930

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 10 (600)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 7 (420)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Cainan (II)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 7 (420)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 433

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Eber
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;25 šūši&lt;br/&gt;(1500)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 8 (480)
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1525&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 464

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 4 (240)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 4 (240)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Serug
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 230

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 148

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Abraham
| rowspan=&quot;7&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;17 šūši&lt;br/&gt;(1020)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| rowspan=&quot;7&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1023&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 175

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Isaac
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jacob
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 147

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Levi
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kohath
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Amram
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 131

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Moses
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 120

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! style=&quot;text-align:left; color:black;&quot; | LIFESPAN&lt;br/&gt;DURATION&lt;br/&gt;SUM
| colspan=&quot;6&quot; | 210 šūši&lt;br/&gt;(12,600 years)
|}

== PT2 as the Base Model for Patriarchal Chronologies ==
The &quot;PT2&quot; chronology serves as the foundational model from which subsequent patriarchal lifespans in various textual traditions were derived. Evidence for this remains visible across nearly all biblical records, as they consistently preserve the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1).

* '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost.
* '''The Masoretic Text (MT):''' This tradition shifted 6 years from the &quot;Remainder&quot; to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block.
* '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši'''''.
* '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence.

The use of rounded Mesopotamian figures in the Armenian Eusebius Chronology suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the Septuagint's divergence indicates a later development—likely in Alexandria—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;

|+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum)
|-
! rowspan=&quot;2&quot; | Patriarch Groups
! rowspan=&quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;2&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;3&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! style=&quot;background-color:#e3f2fd;&quot; | Masoretic&lt;br/&gt;(MT)
! style=&quot;background-color:#e3f2fd;&quot; | Samaritan&lt;br/&gt;(SP)
! style=&quot;background-color:#fff3e0;&quot; | Josephus&lt;br/&gt;(94 AD)
! style=&quot;background-color:#fff3e0;&quot; | Eusebius&lt;br/&gt;(325 AD)
! style=&quot;background-color:#fff3e0;&quot; | Septuagint&lt;br/&gt;(LXX)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth to Enoch&lt;br/&gt;&lt;small&gt;(6 Patriarchs)&lt;/small&gt;
| colspan=&quot;2&quot; style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
| style=&quot;background-color:#f9f9f9;&quot; | 4834&lt;br/&gt;&lt;small&gt;(4949 - 115)&lt;/small&gt;
| colspan=&quot;3&quot; style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
|-

| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah, Lamech, Noah&lt;br/&gt;&lt;small&gt;(The Remainder)&lt;/small&gt;
| style=&quot;font-weight:bold; background-color:#f9f9f9;&quot; | 2702
| style=&quot;background-color:#f9f9f9;&quot; | 2696&lt;br/&gt;&lt;small&gt;(2702 - 6)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2323&lt;br/&gt;&lt;small&gt;(2702 - 379)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2626&lt;br/&gt;&lt;small&gt;(2702 - 76)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2642&lt;br/&gt;&lt;small&gt;(2702 - 60)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2672&lt;br/&gt;&lt;small&gt;(2702 - 30)&lt;/small&gt;
|-

| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam &amp; Shem to Moses&lt;br/&gt;&lt;small&gt;(The &quot;Second Half&quot;)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
| style=&quot;background-color:#f9f9f9;&quot; | 4955&lt;br/&gt;&lt;small&gt;(4949 + 6)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 4834&lt;br/&gt;&lt;small&gt;(4949 - 115)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | —
| style=&quot;background-color:#f9f9f9;&quot; | 5609&lt;br/&gt;&lt;small&gt;(4949 + 660)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 5930&lt;br/&gt;&lt;small&gt;(4949 + 981)&lt;/small&gt;

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:14px;&quot;
! LIFESPAN DURATION SUM
| colspan=&quot;2&quot; | 12,600
| 11,991
| —
| 13,200
| 13,551
|}
&lt;small&gt;* '''Dash (—)''' indicates where primary sources do not provide complete death data.&lt;/small&gt;

== Comparative Chronology Tables ==

The following table reconstructs lifespan values across multiple chronological traditions. While most values are derived directly from the primary source texts listed in the header, the '''Armenian Eusebius''' chronology does not explicitly record the lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that result in a patriarch surviving beyond the date of the Flood.
* &lt;span style=&quot;color:#333333;&quot;&gt;'''Blank Cells'''&lt;/span&gt; indicate where primary sources do not provide specific lifespan or death data.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! rowspan = &quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;1&quot; rowspan = &quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;2&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;3&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 912

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 905

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 910

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 895

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962
| 847
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969
| 720
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;6&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 777
| 653
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 707
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 723
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 753

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 930

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600
| rowspan=&quot;9&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438
| 538
| 535

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Cainan (II)
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —
| —
| 460

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 433
| 536
| 460

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Eber
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 464
| 404
| 567
| colspan=&quot;2&quot; | 404

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239
| colspan=&quot;2&quot; | 339

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239
| 342
| 339

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Serug
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 230
| colspan=&quot;2&quot; | 330

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 148
| 198
| 304

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205
| 145
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Abraham
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 175

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Isaac
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180
| 185
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jacob
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 147

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Levi
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137
| rowspan=&quot;3&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kohath
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Amram
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 131
| 137
| 136
| colspan=&quot;2&quot; | 132

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Moses
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 120

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! style=&quot;text-align:left; color:black;&quot; | LIFESPAN&lt;br/&gt;DURATION&lt;br/&gt;SUM
| colspan=&quot;2&quot; | 12,600
| colspan=&quot;1&quot; | 11,991
| —
| colspan=&quot;1&quot; | 13,200
| colspan=&quot;1&quot; | 13,551
|}

=== Samaritan Adjustments ===
Four of the pre-flood patriarchs—Jared, Methuselah, Lamech, and Noah—are credited with exceptionally long lives late in the chronology, which creates a potential overlap where these four patriarchs appear to survive Noah's flood. As shown in the above table, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. Other traditions do not employ this specific reduction, but all must address the issue of flood survival, as explained in later sections.

The required reduction in Jared's lifespan was '''115 years'''. Interestingly, as noted in the previous section, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the &quot;Group 1&quot; and &quot;Group 2&quot; patriarchs.

Specifically, this balance was achieved through the following adjustments:
* '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each).
* '''Amram's''' lifespan was increased by five years.

This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing.

=== Masoretic Adjustments ===

In the 2017 article, &quot;[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs],&quot; Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition:

&lt;blockquote&gt;&quot;The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)&quot;&lt;/blockquote&gt;

While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late &quot;tweak&quot; in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges:

&lt;blockquote&gt;&quot;Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above.&quot;&lt;/blockquote&gt;

==== ''Lectio Difficilior Potior'' ====
The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the &quot;harder reading is stronger&quot;) suggests that scribes tend to simplify or &quot;smooth&quot; texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life.

In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges:

* '''Year 500 (of Noah):''' Shem is born.
* '''Year 600 (of Noah):''' The Flood occurs.
* '''Year 700 (of Noah):''' Lamech dies.

This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a &quot;compressed chronology&quot; (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (53, 653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''183 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate &quot;balancing&quot; of total chronological years.

=== Armenian Eusebius Adjustments ===
Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 220 ''šūši'' (or 10 ''šūši'' more than the Masoretic Text). Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system.

Specifically, the following adjustments appear to have occurred for Group 2 patriarchs:
* '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years.
* '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years.
* '''Nahor''' had his lifespan increased by 50 years.
* '''Amram''' had his lifespan increased by 1 year.

The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''.

= It All Started With Grain =

[[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]]

The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the [https://www.biblicalarchaeology.org/daily/news/ancient-bread-jordan/ Black Desert of Jordan]. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops.

The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the &quot;firstfruits of your harvest&quot; (referring to barley) before the Lord:

&lt;blockquote&gt;&quot;then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord&quot;&lt;/blockquote&gt;

To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues:

&lt;blockquote&gt;&quot;And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord.&quot;&lt;/blockquote&gt;

[[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]]

These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the &quot;better things&quot; and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.

This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: 

&lt;blockquote&gt;&quot;And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye &lt;small&gt;(likely emmer wheat or spelt)&lt;/small&gt; were not smitten: for they were not grown up.&quot;&lt;/blockquote&gt;

This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. 

The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest).

=== The Mathematical Structure of Jubilees ===

The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of &quot;weeks&quot;:

* '''Week of Years:''' 7&lt;sup&gt;1&lt;/sup&gt; = 7 years
* '''Jubilee of Years:''' 7&lt;sup&gt;2&lt;/sup&gt; = 49 years
* '''Week of Jubilees:''' 7&lt;sup&gt;3&lt;/sup&gt; = 343 years
* '''Jubilee of Jubilees:''' 7&lt;sup&gt;4&lt;/sup&gt; = 2,401 years

The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land.

[[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]]

The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested &quot;Jubilee of Jubilees&quot; (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle.

* The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year.
* The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years.
* The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid.
* The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs.

== The Birth of Shem (A Digression) ==
Were Noah's sons born when Noah was 500 or 502?

==== The 502 Calculation ====
While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that &quot;Noah was 500 years old, and Noah begat Shem, Ham, and Japheth,&quot; this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: 
# Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). 
# Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10])

'''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples.

==== Competing Narratives ====
According to the Book of Jubilees 4:33, Shem was the oldest son, born in Noah's 500&lt;sup&gt;th&lt;/sup&gt; year, followed by Ham in the 502&lt;sup&gt;nd&lt;/sup&gt; year, and Japheth in the 505&lt;sup&gt;th&lt;/sup&gt;. This seems to be in contradiction with the Genesis narrative which places Shem as the second son in year 502.

==== ''Lectio Difficilior Potior'' ====

The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the harder reading is stronger) suggests that scribes tend to simplify or &quot;smooth&quot; texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life.

In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28%7Cversion=SPE Lamech’s 53rd year]. If we combine that with the 500-year figure for Noah's age at the birth of his sons and the [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB Septuagint figure of 753] for Lamech's death, a suspiciously neat pattern emerges:

* '''Year 500 (of Noah):''' Shem is born.
* '''Year 600 (of Noah):''' The Flood occurs.
* '''Year 700 (of Noah):''' Lamech dies.

This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a &quot;compressed chronology&quot; (500–600–700) is a hallmark of editorial smoothing—likely values adjusted during the introduction of the universal flood narrative to create a more &quot;perfect&quot; structure.

Applying ''Lectio Difficilior'', we can reasonably set aside the figures 53, 500, and 753 as being &quot;too structured to be true,&quot; shifting our focus to less symmetrical values such as '''502''' for Shem's birth.

== The Mathematical relationship between 40 and 49 ==

As noted previously, the ''Jubilees'' author envisions early Hebraic history within a &quot;Jubilee of Jubilees&quot; fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows:

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 (7-3)(7+3) &amp;=  7^2 - 3^2 \\
 &amp;= 49 - 9 \\
 &amp;= 40
\end{aligned}
&lt;/math&gt;

The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40.

[[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] 

Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years):

[[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]]

&lt;div style=&quot;line-height: 1.5;&quot;&gt;
* '''Book of Jubilees (Adam to Canaan)'''
** Pre-Flood Patriarch years:
*:&lt;math display=&quot;block&quot;&gt;\frac{7^4 - 1}{2} + 3^2 = 1200 + 9 = 1209&lt;/math&gt;
** Post-Flood Patriarch years:
*:&lt;math display=&quot;block&quot;&gt;\frac{7^4 + 1}{2} + (7^2 - 3^2) = 1201 + 40 = 1241&lt;/math&gt;
** Total Years:
*:&lt;math display=&quot;block&quot;&gt;7^4 + 7^2 = 2401 + 49 = 2450&lt;/math&gt;
&lt;/div&gt;

== The Samaritan Pentateuch Connection ==
Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition.

[[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]]

=== Determining Chronological Priority ===
A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem is born in year 1207 (reconstructed as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 &quot;Jubilee of Jubilees.&quot;

This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's &quot;pivot&quot; position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment.

=== The 350-Year Symmetrical Extension ===
Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a &quot;week of Jubilees&quot; (343 years) plus a &quot;week of years&quot; (7 years).

&lt;div style=&quot;line-height: 1.5;&quot;&gt;
* '''Book of Jubilees (Adam to Canaan):'''
:&lt;math display=&quot;block&quot;&gt;7^4 + 7^2 = 2401 + 49 = 2450 \text{ years}&lt;/math&gt;

* '''Samaritan Pentateuch (Adam to Conquest):'''
:&lt;math display=&quot;block&quot;&gt;\begin{aligned} \text{(Base 49): } &amp; 7^4 + 7^3 + 7^2 + 7^1 = 2401 + 343 + 49 + 7 = 2800 \\ \text{(Base 40): } &amp; 70 \times 40 = 2800 \end{aligned}&lt;/math&gt;
&lt;/div&gt;

=== Mathematical Structure of the Early Samaritan Chronology ===
To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each):

* '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''.
* '''The second cluster''' represents a second millennium.
* '''The final set''' contains 20 blocks (4x5), representing '''800 years'''.

Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record.


[[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]]

== Living in the Rough ==

[[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]]

As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a &quot;generation&quot;) are less clear, but the number is consistently associated with &quot;living in the rough&quot;—periods of trial, transition, or exile away from the comforts of civilization. 

Examples of this pattern include:
* '''Noah''' lived within the ark for 40 days while the rain fell; 
* '''Israel''' wandered in the wilderness for 40 years; 
* '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. 

Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era.

Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the &quot;civilized&quot; city.

In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means &quot;supplanter&quot;—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a &quot;skillful hunter&quot; and a &quot;man of the field,&quot; while Jacob is &quot;dwelling in tents&quot; and cooking &quot;lentil stew.&quot;

The text draws a clear parallel between these two sets of brothers:
* In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. 
* In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this &quot;clever&quot; intervention, Jacob successfully secures the favor that Cain could not.

Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. 

This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the &quot;rough&quot; of the wilderness.

Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three &quot;generations&quot; (3 x 40).

The relationship between these two &quot;three-fold&quot; lifespans can be expressed by the same nine-year offset identified in the Shem chronology:

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 49 - 9 &amp;= 40 \\
 3(49 - 9) &amp;= 3(40) \\
 147 - 27 &amp;= 120
\end{aligned}
&lt;/math&gt;

[[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] 

Samaritan tradition maintains a unique cultural link to the &quot;pastoralist&quot; ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the &quot;grain-based&quot; agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to &quot;wilderness living,&quot; the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit.

=== A narrative foil for Joshua ===
As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a &quot;foil&quot; for Jacob: Moses lived exactly three &quot;generations&quot; (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization.

This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding &quot;foil&quot; to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam?

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 49 - 9 &amp;= 40 \\
 70(49 - 9) &amp;= 70(40) \\
 3,430 - 630 &amp;= 2,800
\end{aligned}
&lt;/math&gt;

Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific &quot;foil&quot; to Joshua existed in the original architect's mind.

The Samaritans do maintain a continuous, running calendar. However, this system uses a &quot;Conquest Era&quot; epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. For instance, at that time, the [[w:Hyksos|Hyksos]] were only beginning to establish control over Lower Egypt. Furthermore, the [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC.

There is, however, one more possibility to consider: what if the &quot;irreconcilable&quot; nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent &quot;foil&quot; event occurred exactly 3,430 years after Creation? 

As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare &quot;smoking gun&quot; for the artificial design of the chronology.

=== A Mystery Solved ===
In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest.

The significant milestones in this timeline include:
* '''Year 1''': &quot;This year the world and Adam were created.&quot; 
* '''Year 2801''': &quot;The first year of Israel's rule in the land of Canaan.&quot; 
* '''Year 3423''': &quot;The commencement of the kingdom of Solomon.&quot;

According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological &quot;anchor&quot; was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself.

In Creation Year 2800—marking exactly 70 &quot;generations&quot; of 40 years—God entered Canaan in a tent, embodying the &quot;living rough&quot; wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 &quot;Jubilees&quot; of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70&lt;sup&gt;th&lt;/sup&gt; generation to the 70&lt;sup&gt;th&lt;/sup&gt; Jubilee:

:&lt;math&gt;70 \times 40 + (70 \times 9) = 70 \times 49&lt;/math&gt;

=== Mathematical Structure of the Later Samaritan Chronology ===
The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years:

* '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation.
* '''The second cluster''' spans years '''3,000 to 4,000''' after Creation.
* '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation.

The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year &quot;Tabernacle&quot; era''', which is composed of:
* The 40 years of wandering in the wilderness;
* The 6 years of the initial conquest;
* The 630 years between the conquest and the completion of Solomon’s Temple.

Following the '''676-year &quot;Tabernacle&quot; era''' is a '''400-year &quot;First Temple&quot; era''' and a '''70-year &quot;Exile&quot; era''' as detailed in the historical breakdown below.

[[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]]

The Book of Daniel states: &quot;In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it&quot; (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''.

The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure.

High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. 

Using this synchronization, other significant milestones are mapped as follows:
* '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''.
* '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''.
* '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''.

High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year &quot;Second Temple Persian Era&quot; (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. 

The remainder of the diagram represents a 300-year &quot;Second Temple Hellenistic Era,&quot; which concludes in '''Creation Year 4400''' (30 BC).

=== Competing Temples ===
There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year &quot;Second Temple Persian Era&quot; (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework.

According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple:

&lt;blockquote&gt;&quot;But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel&quot; (Ezra 4:3).&lt;/blockquote&gt;

After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population.

[[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]]

This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC.

= The Rise of Zadok =
The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years:

* '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation.
* '''The second cluster''' spans years '''3,000 to 4,000''' after Creation.
* '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation.

The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section.  Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness.  To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event.

[[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]]

The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000.

= Hellenized Jews =
Hellenized Jews were
ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint.
= Start TBD =

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! rowspan = &quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;1&quot; rowspan = &quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962 &lt;br/&gt; &lt;small&gt;(847)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(847)&lt;/small&gt;
| 962 &lt;br/&gt; &lt;small&gt;(1196)&lt;/small&gt;
| 847 &lt;br/&gt; &lt;small&gt;(847)&lt;/small&gt;
| 962 &lt;br/&gt; &lt;small&gt;(1302)&lt;/small&gt;
| colspan=&quot;2&quot; | 962 &lt;br/&gt; &lt;small&gt;(1282)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(1282)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(1302)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(1304)&lt;/small&gt;

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;10&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969 &lt;br/&gt; &lt;small&gt;(721)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(721)&lt;/small&gt;
| 969 &lt;br/&gt; &lt;small&gt;(969)&lt;/small&gt;
| 720 &lt;br/&gt; &lt;small&gt;(720)&lt;/small&gt;
| 969 &lt;br/&gt; &lt;small&gt;(975)&lt;/small&gt;
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969 &lt;br/&gt; &lt;small&gt;(955)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(955)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(975)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(977)&lt;/small&gt;

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783 &lt;br/&gt; &lt;small&gt;(656)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(656)&lt;/small&gt;
| 777 &lt;br/&gt; &lt;small&gt;(782)&lt;/small&gt;
| 653 &lt;br/&gt; &lt;small&gt;(653)&lt;/small&gt;
| 707 &lt;br/&gt; &lt;small&gt;(788)&lt;/small&gt;
| 723 &lt;br/&gt; &lt;small&gt;(788)&lt;/small&gt;
| 753 &lt;br/&gt; &lt;small&gt;(788)&lt;/small&gt;
| colspan=&quot;2&quot; | — &lt;br/&gt; &lt;small&gt;(788)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(790)&lt;/small&gt;

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950 &lt;br/&gt; &lt;small&gt;(601)&lt;/small&gt;
| colspan=&quot;5&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950 &lt;br/&gt; &lt;small&gt;(600)&lt;/small&gt;
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | — &lt;br/&gt; &lt;small&gt;(600)&lt;/small&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | — &lt;br/&gt; &lt;small&gt;(602)&lt;/small&gt;

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600
| rowspan=&quot;9&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438
| 538
| 535

|}

= End TBD =

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that could result in patriarchs surviving beyond the date of the Flood.
* &lt;span style=&quot;color:#333333;&quot;&gt;'''Blank Cells'''&lt;/span&gt; indicate where primary sources do not provide specific lifespan or death data.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;&quot;
|+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son)

|-
! rowspan=&quot;2&quot; colspan=&quot;1&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Adam
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 130
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 230

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Seth
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 105
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 205

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 90
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 190

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 70
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 170

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 66
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | 65
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 165

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 61
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 162
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 62
| colspan=&quot;6&quot; style=&quot;background-color:#f9f9f9;&quot; | 162

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 65
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 165

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 65
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 187
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 67
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 167 / 187
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 167
| colspan=&quot;2&quot; style=&quot;background-color:#f9f9f9;&quot; | 187

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 55
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 182
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 53
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 182 / 188
| colspan=&quot;5&quot; style=&quot;background-color:#f9f9f9;&quot; | 188

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;9&quot; style=&quot;background-color:#e8e8e8;&quot; | 500 .. 502

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot; style=&quot;text-align:left; color:black;&quot; | Pre-Flood TOTAL
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 1556
| colspan=&quot;1&quot; | 1209
| colspan=&quot;3&quot; | Varied
| colspan=&quot;1&quot; | 2142
| colspan=&quot;1&quot; | 2162
| colspan=&quot;1&quot; | 2164
|}

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;&quot;

|+ Comparison of Post-Flood Chronological Traditions (Age at birth of son)
|-
! colspan=&quot;1&quot; rowspan=&quot;2&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot;  style=&quot;text-align:left; color:black;&quot; | Pre-Flood
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 1556
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 2164
| colspan=&quot;1&quot; | 2162
| colspan=&quot;1&quot; | 2142
| colspan=&quot;3&quot; | Varied

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 100
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 112

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Arphaxad
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 66
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 35
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 135

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Cainan II
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 57
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 130
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 130
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 71
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Eber
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 64
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 34
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 134

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 61
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 59
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 32
| colspan=&quot;5&quot; style=&quot;background-color:#e8e8e8;&quot; | 132
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 135
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Serug	
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 57
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 130
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 132

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 62
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 29
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 79
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 75
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 79 / 179
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 79
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 120

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;9&quot; style=&quot;background-color:#e8e8e8;&quot; | 70

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Abram
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 78
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 75

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Canaan
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 218
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 215

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Egypt
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 238
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 430
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 215
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 430
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 215
|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Sinai +/-
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 40
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | -
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 46
| colspan=&quot;4&quot; style=&quot;background-color:#e8e8e8;&quot; | 40

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot; style=&quot;text-align:left; color:black;&quot; | GRAND TOTAL
| colspan=&quot;1&quot; | 2450
| colspan=&quot;1&quot; | 2666
| colspan=&quot;1&quot; | 2800
| colspan=&quot;1&quot; | 3885
| colspan=&quot;1&quot; | 3754
| colspan=&quot;1&quot; | 3938
| colspan=&quot;3&quot; | Varied
|}

== The Septuagint Chronology ==

While the chronologies of the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' are anchored in Levant-based agricultural cycles and the symbolic interplay of the numbers 40 and 49, the Septuagint (LXX) appears to have been structured around a different set of priorities. Specifically, the LXX's chronological framework seems designed to resolve a significant textual difficulty: the mathematical anomaly of patriarchs potentially outliving the Flood. In the 2017 article, ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', author Paul D. makes the following statement regarding the Septuagint:

&lt;blockquote&gt;“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”&lt;/blockquote&gt;

While Paul D.’s &quot;Whoops Theory&quot; suggests the LXX editor intended to &quot;fix&quot; the timeline but failed in the case of Methuselah, this interpretation potentially overlooks the systemic nature of the changes. If an editor is methodical enough to systematically alter multiple generations by exactly one hundred years, a single &quot;failure&quot; to fix Methuselah could suggest the avoidance of a post-Flood death was not the primary objective.

Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': 

&lt;blockquote&gt;&quot;Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years.&quot;&lt;/blockquote&gt; 

This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development.

=== Demetrius the Chronographer ===
Demetrius the Chronographer, writing as early as the late 3rd century BC (c. 221 BC), represents the earliest known witness to biblical chronological calculations. While only fragments of his work remain, they are significant; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. This presumably places the birth of Shem at 2,164 years—exactly one hundred years before the Flood—aligning his data with the &quot;Long Chronology&quot; of the Septuagint.

In the comment section of the original article, in response to evidence regarding this longer tradition (provided by commenter Roger Quill), Paul D. reaffirms his &quot;Whoops Theory&quot; by challenging the validity of various witnesses to the 187-year begettal age of Methuselah. In this view, Codex Alexandrinus is seen as the lone legitimate witness, while others are discounted: 

* '''Josephus:''' Characterized as dependent on the Masoretic tradition.
* '''Pseudo-Philo:''' Dismissed due to textual corruption (&quot;a real mess&quot;).
* '''Julius Africanus:''' Questioned because his records survive only through the later intermediary, Syncellus.
* '''Demetrius:''' Rejected as a witness because his chronology contains an additional 22 years (rather than the typical 20-year variance) whose precise placement remains unknown.

The claim that Julius Africanus is invalidated due to his survival through an intermediary, or that Demetrius is disqualified by a 22-year variance, is arguably overstated. A plausible explanation for the discrepancy in Demetrius's chronology is the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can easily account for such variances without necessitating the rejection of the witnesses.

=== The Correlations ===
An interesting piece of corroborating evidence exists in the previously mentioned 1864 publication by Rev. John Mills, ''Three Months' Residence at Nablus'', where High Priest Amram records his own chronological dates based on the Samaritan Pentateuch. Priest Amram lists the Flood date as 1307 years after creation, but then lists the birth of Arphaxad as 1309 years—exactly two years after the Flood—which presumably places Shem's birth in year 502 of Noah's life (though Shem's actual birth date in the text is obscured by a typo).

The internal tension in Priest Amram's calculations likely reflects the same two-year variance seen between Demetrius and Africanus. Priest Amram lists the birth years of Shelah, Eber, and Peleg as 1444, 1574, and 1708, respectively. Africanus lists those same birth years as 2397, 2527, and 2661. In each case, the Priest Amram figure differs from the Africanus value by exactly 953 years. While the chronology of Africanus may reach us through an intermediary, as Paul D. notes, the values provided by both Demetrius and Africanus are precisely what one would anticipate to resolve the &quot;Universal Flood&quot; problem.


[[Category:Religion]]</text>
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    </revision>
    <revision>
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      <parentid>2803986</parentid>
      <timestamp>2026-04-09T18:53:52Z</timestamp>
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      <text bytes="87605" sha1="4h53b03wafnbxzbib6r7ghc8clhb2qg" xml:space="preserve">{{Original research}}
This page evaluates and extends the mathematical insights presented in the 2017 article, ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'' by Paul D. While the original article provides a compelling foundation, this analysis identifies areas where the underlying data and mathematical evidence are more robust than initially presented. The following sections aim to clarify these findings and offer a more precise structural framework.

== Summary of Main Arguments ==
The ages of the patriarchs in Genesis are not intended as historical records, but as a complex symbolic mathematical structure designed by ancient authors. Key points include:

* '''Artificial Mathematical Design:''' Patriarchal ages and event years are based on symbolic or &quot;perfect&quot; numbers (such as 7, 49, and 60) rather than biological or historical reality.
* '''Alignment with Sacred Cycles:''' The chronologies are designed to align significant events—such as the Exodus and the dedication of Solomon’s Temple—with specific &quot;years of the world&quot; (''Anno Mundi''), synchronizing human history with a divine calendar.
* '''The Universal Flood as a Later Insertion:''' Evidence suggests the universal scope of Noah's Flood was a later addition to a patriarchal foundation story. This insertion disrupted the original timelines, forcing recalibrations in the Masoretic Text (MT), Samaritan Pentateuch (SP), and Septuagint (LXX) to avoid chronological contradictions.
* '''Chronological Overlaps:''' In the original numerical framework (prior to recalibration for a universal flood), the mathematical structures resulted in overlaps where certain patriarchs, such as Methuselah, survived beyond the date of the Flood.

= Arichat Yamim =

Most of the patriarchs' lifespans in the Hebrew Bible far exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101).

This phenomenon is difficult to explain, as no known ancient number system features &quot;101&quot; as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle.
 
In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a &quot;perfect&quot; Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows:

*:&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
\frac{7\,\text{šar}}{2} &amp;= 3\,\text{šar}\,\,30\,\text{šūši}  \\ 
&amp;= \left(3 \times 60^2 \, \text{years} \right) + \left(30 \times 60^1 \,\text{years} \right) \\ 
&amp;= 10,800 \, \text{years} + 1,800 \, \text{years} \\
&amp;= 12,600 \, \text{years}
\end{aligned}
&lt;/math&gt;

This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60).

==== Prototype 1: Initial &quot;Mesopotamian&quot; Allocation ====

----

&lt;div style=&quot;background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;&quot;&gt;
The initial &quot;PT1&quot; framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''):

* '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49).
* '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''.
* '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920).
&lt;/div&gt;

----

==== Prototype 2: Refined &quot;Jubilee&quot; Allocation ====

----

&lt;div style=&quot;background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;&quot;&gt;
Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the &quot;Remainder&quot; to each of the two primary groups. This resulted in the &quot;PT2&quot; figures as follows:

* '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees).
* '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees).
* '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949).
&lt;/div&gt;

----

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that result in a patriarch surviving beyond the date of the Flood.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e0f2f1; border-bottom:2px solid #009688;&quot; | PROTOTYPE 1&lt;br/&gt;(PT1)
! colspan=&quot;3&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PROTOTYPE 2&lt;br/&gt;(PT2)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;82 šūši&lt;br/&gt;(4920)&lt;/div&gt;
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;45 šūši&lt;br/&gt;(2700)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;4949&lt;/div&gt;
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2727&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 912

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 905

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 910

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;37 šūši&lt;br/&gt;(2220)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2222&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 895

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 6 (360)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot;  | Methuselah
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;46 šūši&lt;br/&gt;(2760)&lt;/div&gt;
| rowspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;32 šūši&lt;br/&gt;(1920)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2702&lt;/div&gt;
| rowspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1919&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 14 (880)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 14 (840)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam
| rowspan=&quot;18&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;82 šūši&lt;br/&gt;(4920)&lt;/div&gt;
| rowspan=&quot;5&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;40 šūši&lt;br/&gt;(2400)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 16 (960)
| rowspan=&quot;18&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;4949&lt;/div&gt;
| rowspan=&quot;5&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2401&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 930

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 10 (600)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 7 (420)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Cainan (II)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 7 (420)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 433

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Eber
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;25 šūši&lt;br/&gt;(1500)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 8 (480)
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1525&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 464

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 4 (240)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 4 (240)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Serug
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 230

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 148

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Abraham
| rowspan=&quot;7&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;17 šūši&lt;br/&gt;(1020)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| rowspan=&quot;7&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1023&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 175

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Isaac
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jacob
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 147

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Levi
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kohath
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Amram
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 131

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Moses
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 120

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! style=&quot;text-align:left; color:black;&quot; | LIFESPAN&lt;br/&gt;DURATION&lt;br/&gt;SUM
| colspan=&quot;6&quot; | 210 šūši&lt;br/&gt;(12,600 years)
|}

== PT2 as the Base Model for Patriarchal Chronologies ==
The &quot;PT2&quot; chronology serves as the foundational model from which subsequent patriarchal lifespans in various textual traditions were derived. Evidence for this remains visible across nearly all biblical records, as they consistently preserve the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1).

* '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost.
* '''The Masoretic Text (MT):''' This tradition shifted 6 years from the &quot;Remainder&quot; to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block.
* '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši'''''.
* '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence.

The use of rounded Mesopotamian figures in the Armenian Eusebius Chronology suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the Septuagint's divergence indicates a later development—likely in Alexandria—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;

|+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum)
|-
! rowspan=&quot;2&quot; | Patriarch Groups
! rowspan=&quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;2&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;3&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! style=&quot;background-color:#e3f2fd;&quot; | Masoretic&lt;br/&gt;(MT)
! style=&quot;background-color:#e3f2fd;&quot; | Samaritan&lt;br/&gt;(SP)
! style=&quot;background-color:#fff3e0;&quot; | Josephus&lt;br/&gt;(94 AD)
! style=&quot;background-color:#fff3e0;&quot; | Eusebius&lt;br/&gt;(325 AD)
! style=&quot;background-color:#fff3e0;&quot; | Septuagint&lt;br/&gt;(LXX)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth to Enoch&lt;br/&gt;&lt;small&gt;(6 Patriarchs)&lt;/small&gt;
| colspan=&quot;2&quot; style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
| style=&quot;background-color:#f9f9f9;&quot; | 4834&lt;br/&gt;&lt;small&gt;(4949 - 115)&lt;/small&gt;
| colspan=&quot;3&quot; style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
|-

| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah, Lamech, Noah&lt;br/&gt;&lt;small&gt;(The Remainder)&lt;/small&gt;
| style=&quot;font-weight:bold; background-color:#f9f9f9;&quot; | 2702
| style=&quot;background-color:#f9f9f9;&quot; | 2696&lt;br/&gt;&lt;small&gt;(2702 - 6)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2323&lt;br/&gt;&lt;small&gt;(2702 - 379)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2626&lt;br/&gt;&lt;small&gt;(2702 - 76)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2642&lt;br/&gt;&lt;small&gt;(2702 - 60)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2672&lt;br/&gt;&lt;small&gt;(2702 - 30)&lt;/small&gt;
|-

| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam &amp; Shem to Moses&lt;br/&gt;&lt;small&gt;(The &quot;Second Half&quot;)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
| style=&quot;background-color:#f9f9f9;&quot; | 4955&lt;br/&gt;&lt;small&gt;(4949 + 6)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 4834&lt;br/&gt;&lt;small&gt;(4949 - 115)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | —
| style=&quot;background-color:#f9f9f9;&quot; | 5609&lt;br/&gt;&lt;small&gt;(4949 + 660)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 5930&lt;br/&gt;&lt;small&gt;(4949 + 981)&lt;/small&gt;

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:14px;&quot;
! LIFESPAN DURATION SUM
| colspan=&quot;2&quot; | 12,600
| 11,991
| —
| 13,200
| 13,551
|}
&lt;small&gt;* '''Dash (—)''' indicates where primary sources do not provide complete death data.&lt;/small&gt;

== Comparative Chronology Tables ==

The following table reconstructs lifespan values across multiple chronological traditions. While most values are derived directly from the primary source texts listed in the header, the '''Armenian Eusebius''' chronology does not explicitly record the lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that result in a patriarch surviving beyond the date of the Flood.
* &lt;span style=&quot;color:#333333;&quot;&gt;'''Blank Cells'''&lt;/span&gt; indicate where primary sources do not provide specific lifespan or death data.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! rowspan = &quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;1&quot; rowspan = &quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;2&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;3&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 912

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 905

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 910

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 895

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962
| 847
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969
| 720
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;6&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 777
| 653
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 707
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 723
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 753

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 930

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600
| rowspan=&quot;9&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438
| 538
| 535

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Cainan (II)
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —
| —
| 460

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 433
| 536
| 460

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Eber
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 464
| 404
| 567
| colspan=&quot;2&quot; | 404

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239
| colspan=&quot;2&quot; | 339

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239
| 342
| 339

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Serug
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 230
| colspan=&quot;2&quot; | 330

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 148
| 198
| 304

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205
| 145
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Abraham
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 175

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Isaac
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180
| 185
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jacob
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 147

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Levi
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137
| rowspan=&quot;3&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kohath
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Amram
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 131
| 137
| 136
| colspan=&quot;2&quot; | 132

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Moses
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 120

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! style=&quot;text-align:left; color:black;&quot; | LIFESPAN&lt;br/&gt;DURATION&lt;br/&gt;SUM
| colspan=&quot;2&quot; | 12,600
| colspan=&quot;1&quot; | 11,991
| —
| colspan=&quot;1&quot; | 13,200
| colspan=&quot;1&quot; | 13,551
|}

=== Samaritan Adjustments ===
Four of the pre-flood patriarchs—Jared, Methuselah, Lamech, and Noah—are credited with exceptionally long lives late in the chronology, which creates a potential overlap where these four patriarchs appear to survive Noah's flood. As shown in the above table, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. Other traditions do not employ this specific reduction, but all must address the issue of flood survival, as explained in later sections.

The required reduction in Jared's lifespan was '''115 years'''. Interestingly, as noted in the previous section, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the &quot;Group 1&quot; and &quot;Group 2&quot; patriarchs.

Specifically, this balance was achieved through the following adjustments:
* '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each).
* '''Amram's''' lifespan was increased by five years.

This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing.

=== Masoretic Adjustments ===

In the 2017 article, &quot;[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs],&quot; Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition:

&lt;blockquote&gt;&quot;The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)&quot;&lt;/blockquote&gt;

While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late &quot;tweak&quot; in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges:

&lt;blockquote&gt;&quot;Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above.&quot;&lt;/blockquote&gt;

==== ''Lectio Difficilior Potior'' ====
The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the &quot;harder reading is stronger&quot;) suggests that scribes tend to simplify or &quot;smooth&quot; texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life.

In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges:

* '''Year 500 (of Noah):''' Shem is born.
* '''Year 600 (of Noah):''' The Flood occurs.
* '''Year 700 (of Noah):''' Lamech dies.

This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a &quot;compressed chronology&quot; (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (53, 653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''183 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate &quot;balancing&quot; of total chronological years.

=== Armenian Eusebius Adjustments ===
Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 220 ''šūši'' (or 10 ''šūši'' more than the Masoretic Text). Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system.

Specifically, the following adjustments appear to have occurred for Group 2 patriarchs:
* '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years.
* '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years.
* '''Nahor''' had his lifespan increased by 50 years.
* '''Amram''' had his lifespan increased by 1 year.

The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''.

= It All Started With Grain =

[[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]]

The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the [https://www.biblicalarchaeology.org/daily/news/ancient-bread-jordan/ Black Desert of Jordan]. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops.

The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the &quot;firstfruits of your harvest&quot; (referring to barley) before the Lord:

&lt;blockquote&gt;&quot;then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord&quot;&lt;/blockquote&gt;

To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues:

&lt;blockquote&gt;&quot;And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord.&quot;&lt;/blockquote&gt;

[[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]]

These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the &quot;better things&quot; and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.

This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: 

&lt;blockquote&gt;&quot;And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye &lt;small&gt;(likely emmer wheat or spelt)&lt;/small&gt; were not smitten: for they were not grown up.&quot;&lt;/blockquote&gt;

This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. 

The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest).

=== The Mathematical Structure of Jubilees ===

The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of &quot;weeks&quot;:

* '''Week of Years:''' 7&lt;sup&gt;1&lt;/sup&gt; = 7 years
* '''Jubilee of Years:''' 7&lt;sup&gt;2&lt;/sup&gt; = 49 years
* '''Week of Jubilees:''' 7&lt;sup&gt;3&lt;/sup&gt; = 343 years
* '''Jubilee of Jubilees:''' 7&lt;sup&gt;4&lt;/sup&gt; = 2,401 years

The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land.

[[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]]

The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested &quot;Jubilee of Jubilees&quot; (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle.

* The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year.
* The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years.
* The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid.
* The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs.

== The Birth of Shem (A Digression) ==
Were Noah's sons born when Noah was 500 or 502?

==== The 502 Calculation ====
While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that &quot;Noah was 500 years old, and Noah begat Shem, Ham, and Japheth,&quot; this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: 
# Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). 
# Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10])

'''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples.

==== Competing Narratives ====
According to the Book of Jubilees 4:33, Shem was the oldest son, born in Noah's 500&lt;sup&gt;th&lt;/sup&gt; year, followed by Ham in the 502&lt;sup&gt;nd&lt;/sup&gt; year, and Japheth in the 505&lt;sup&gt;th&lt;/sup&gt;. This seems to be in contradiction with the Genesis narrative which places Shem as the second son in year 502.

==== ''Lectio Difficilior Potior'' ====

The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the harder reading is stronger) suggests that scribes tend to simplify or &quot;smooth&quot; texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life.

In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28%7Cversion=SPE Lamech’s 53rd year]. If we combine that with the 500-year figure for Noah's age at the birth of his sons and the [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB Septuagint figure of 753] for Lamech's death, a suspiciously neat pattern emerges:

* '''Year 500 (of Noah):''' Shem is born.
* '''Year 600 (of Noah):''' The Flood occurs.
* '''Year 700 (of Noah):''' Lamech dies.

This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a &quot;compressed chronology&quot; (500–600–700) is a hallmark of editorial smoothing—likely values adjusted during the introduction of the universal flood narrative to create a more &quot;perfect&quot; structure.

Applying ''Lectio Difficilior'', we can reasonably set aside the figures 53, 500, and 753 as being &quot;too structured to be true,&quot; shifting our focus to less symmetrical values such as '''502''' for Shem's birth.

== The Mathematical relationship between 40 and 49 ==

As noted previously, the ''Jubilees'' author envisions early Hebraic history within a &quot;Jubilee of Jubilees&quot; fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows:

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 (7-3)(7+3) &amp;=  7^2 - 3^2 \\
 &amp;= 49 - 9 \\
 &amp;= 40
\end{aligned}
&lt;/math&gt;

The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40.

[[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] 

Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years):

[[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]]

&lt;div style=&quot;line-height: 1.5;&quot;&gt;
* '''Book of Jubilees (Adam to Canaan)'''
** Pre-Flood Patriarch years:
*:&lt;math display=&quot;block&quot;&gt;\frac{7^4 - 1}{2} + 3^2 = 1200 + 9 = 1209&lt;/math&gt;
** Post-Flood Patriarch years:
*:&lt;math display=&quot;block&quot;&gt;\frac{7^4 + 1}{2} + (7^2 - 3^2) = 1201 + 40 = 1241&lt;/math&gt;
** Total Years:
*:&lt;math display=&quot;block&quot;&gt;7^4 + 7^2 = 2401 + 49 = 2450&lt;/math&gt;
&lt;/div&gt;

== The Samaritan Pentateuch Connection ==
Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition.

[[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]]

=== Determining Chronological Priority ===
A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem is born in year 1207 (reconstructed as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 &quot;Jubilee of Jubilees.&quot;

This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's &quot;pivot&quot; position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment.

=== The 350-Year Symmetrical Extension ===
Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a &quot;week of Jubilees&quot; (343 years) plus a &quot;week of years&quot; (7 years).

&lt;div style=&quot;line-height: 1.5;&quot;&gt;
* '''Book of Jubilees (Adam to Canaan):'''
:&lt;math display=&quot;block&quot;&gt;7^4 + 7^2 = 2401 + 49 = 2450 \text{ years}&lt;/math&gt;

* '''Samaritan Pentateuch (Adam to Conquest):'''
:&lt;math display=&quot;block&quot;&gt;\begin{aligned} \text{(Base 49): } &amp; 7^4 + 7^3 + 7^2 + 7^1 = 2401 + 343 + 49 + 7 = 2800 \\ \text{(Base 40): } &amp; 70 \times 40 = 2800 \end{aligned}&lt;/math&gt;
&lt;/div&gt;

=== Mathematical Structure of the Early Samaritan Chronology ===
To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each):

* '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''.
* '''The second cluster''' represents a second millennium.
* '''The final set''' contains 20 blocks (4x5), representing '''800 years'''.

Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record.


[[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]]

== Living in the Rough ==

[[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]]

As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a &quot;generation&quot;) are less clear, but the number is consistently associated with &quot;living in the rough&quot;—periods of trial, transition, or exile away from the comforts of civilization. 

Examples of this pattern include:
* '''Noah''' lived within the ark for 40 days while the rain fell; 
* '''Israel''' wandered in the wilderness for 40 years; 
* '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. 

Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era.

Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the &quot;civilized&quot; city.

In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means &quot;supplanter&quot;—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a &quot;skillful hunter&quot; and a &quot;man of the field,&quot; while Jacob is &quot;dwelling in tents&quot; and cooking &quot;lentil stew.&quot;

The text draws a clear parallel between these two sets of brothers:
* In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. 
* In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this &quot;clever&quot; intervention, Jacob successfully secures the favor that Cain could not.

Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. 

This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the &quot;rough&quot; of the wilderness.

Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three &quot;generations&quot; (3 x 40).

The relationship between these two &quot;three-fold&quot; lifespans can be expressed by the same nine-year offset identified in the Shem chronology:

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 49 - 9 &amp;= 40 \\
 3(49 - 9) &amp;= 3(40) \\
 147 - 27 &amp;= 120
\end{aligned}
&lt;/math&gt;

[[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] 

Samaritan tradition maintains a unique cultural link to the &quot;pastoralist&quot; ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the &quot;grain-based&quot; agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to &quot;wilderness living,&quot; the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit.

=== A narrative foil for Joshua ===
As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a &quot;foil&quot; for Jacob: Moses lived exactly three &quot;generations&quot; (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization.

This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding &quot;foil&quot; to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam?

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 49 - 9 &amp;= 40 \\
 70(49 - 9) &amp;= 70(40) \\
 3,430 - 630 &amp;= 2,800
\end{aligned}
&lt;/math&gt;

Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific &quot;foil&quot; to Joshua existed in the original architect's mind.

The Samaritans do maintain a continuous, running calendar. However, this system uses a &quot;Conquest Era&quot; epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. For instance, at that time, the [[w:Hyksos|Hyksos]] were only beginning to establish control over Lower Egypt. Furthermore, the [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC.

There is, however, one more possibility to consider: what if the &quot;irreconcilable&quot; nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent &quot;foil&quot; event occurred exactly 3,430 years after Creation? 

As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare &quot;smoking gun&quot; for the artificial design of the chronology.

=== A Mystery Solved ===
In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest.

The significant milestones in this timeline include:
* '''Year 1''': &quot;This year the world and Adam were created.&quot; 
* '''Year 2801''': &quot;The first year of Israel's rule in the land of Canaan.&quot; 
* '''Year 3423''': &quot;The commencement of the kingdom of Solomon.&quot;

According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological &quot;anchor&quot; was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself.

In Creation Year 2800—marking exactly 70 &quot;generations&quot; of 40 years—God entered Canaan in a tent, embodying the &quot;living rough&quot; wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 &quot;Jubilees&quot; of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70&lt;sup&gt;th&lt;/sup&gt; generation to the 70&lt;sup&gt;th&lt;/sup&gt; Jubilee:

:&lt;math&gt;70 \times 40 + (70 \times 9) = 70 \times 49&lt;/math&gt;

=== Mathematical Structure of the Later Samaritan Chronology ===
The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years:

* '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation.
* '''The second cluster''' spans years '''3,000 to 4,000''' after Creation.
* '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation.

The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year &quot;Tabernacle&quot; era''', which is composed of:
* The 40 years of wandering in the wilderness;
* The 6 years of the initial conquest;
* The 630 years between the conquest and the completion of Solomon’s Temple.

Following the '''676-year &quot;Tabernacle&quot; era''' is a '''400-year &quot;First Temple&quot; era''' and a '''70-year &quot;Exile&quot; era''' as detailed in the historical breakdown below.

[[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]]

The Book of Daniel states: &quot;In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it&quot; (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''.

The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure.

High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. 

Using this synchronization, other significant milestones are mapped as follows:
* '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''.
* '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''.
* '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''.

High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year &quot;Second Temple Persian Era&quot; (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. 

The remainder of the diagram represents a 300-year &quot;Second Temple Hellenistic Era,&quot; which concludes in '''Creation Year 4400''' (30 BC).

=== Competing Temples ===
There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year &quot;Second Temple Persian Era&quot; (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework.

According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple:

&lt;blockquote&gt;&quot;But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel&quot; (Ezra 4:3).&lt;/blockquote&gt;

After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population.

[[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]]

This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC.

= The Rise of Zadok =
The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years:

* '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation.
* '''The second cluster''' spans years '''3,000 to 4,000''' after Creation.
* '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation.

The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section.  Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness.  To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event.

[[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]]

The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000.

= Hellenized Jews =
Hellenized Jews were
ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint.
= Start TBD =

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! rowspan = &quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;1&quot; rowspan = &quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962 &lt;br/&gt; &lt;small&gt;(847)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(847)&lt;/small&gt;
| 962 &lt;br/&gt; &lt;small&gt;(1196)&lt;/small&gt;
| 847 &lt;br/&gt; &lt;small&gt;(847)&lt;/small&gt;
| 962 &lt;br/&gt; &lt;small&gt;(1302)&lt;/small&gt;
| colspan=&quot;2&quot; | 962 &lt;br/&gt; &lt;small&gt;(1282)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(1282)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(1302)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(1304)&lt;/small&gt;

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;10&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969 &lt;br/&gt; &lt;small&gt;(721)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(721)&lt;/small&gt;
| 969 &lt;br/&gt; &lt;small&gt;(969)&lt;/small&gt;
| 720 &lt;br/&gt; &lt;small&gt;(720)&lt;/small&gt;
| 969 &lt;br/&gt; &lt;small&gt;(975)&lt;/small&gt;
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969 &lt;br/&gt; &lt;small&gt;(955)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(955)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(975)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(977)&lt;/small&gt;

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783 &lt;br/&gt; &lt;small&gt;(656)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(656)&lt;/small&gt;
| 777 &lt;br/&gt; &lt;small&gt;(782)&lt;/small&gt;
| 653 &lt;br/&gt; &lt;small&gt;(653)&lt;/small&gt;
| 707 &lt;br/&gt; &lt;small&gt;(788)&lt;/small&gt;
| 723 &lt;br/&gt; &lt;small&gt;(788)&lt;/small&gt;
| 753 &lt;br/&gt; &lt;small&gt;(788)&lt;/small&gt;
| colspan=&quot;2&quot; | — &lt;br/&gt; &lt;small&gt;(788)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(790)&lt;/small&gt;

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950 &lt;br/&gt; &lt;small&gt;(601)&lt;/small&gt;
| colspan=&quot;5&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950 &lt;br/&gt; &lt;small&gt;(600)&lt;/small&gt;
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | — &lt;br/&gt; &lt;small&gt;(600)&lt;/small&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | — &lt;br/&gt; &lt;small&gt;(602)&lt;/small&gt;

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 600 &lt;br/&gt; &lt;small&gt;(101)&lt;/small&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | — &lt;br/&gt; &lt;small&gt;(101)&lt;/small&gt;
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 600 &lt;br/&gt; &lt;small&gt;(100)&lt;/small&gt;
| colspan=&quot;5&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 600 &lt;br/&gt; &lt;small&gt;(100)&lt;/small&gt;

|}

= End TBD =

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that could result in patriarchs surviving beyond the date of the Flood.
* &lt;span style=&quot;color:#333333;&quot;&gt;'''Blank Cells'''&lt;/span&gt; indicate where primary sources do not provide specific lifespan or death data.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;&quot;
|+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son)

|-
! rowspan=&quot;2&quot; colspan=&quot;1&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Adam
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 130
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 230

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Seth
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 105
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 205

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 90
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 190

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 70
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 170

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 66
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | 65
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 165

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 61
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 162
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 62
| colspan=&quot;6&quot; style=&quot;background-color:#f9f9f9;&quot; | 162

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 65
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 165

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 65
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 187
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 67
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 167 / 187
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 167
| colspan=&quot;2&quot; style=&quot;background-color:#f9f9f9;&quot; | 187

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 55
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 182
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 53
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 182 / 188
| colspan=&quot;5&quot; style=&quot;background-color:#f9f9f9;&quot; | 188

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;9&quot; style=&quot;background-color:#e8e8e8;&quot; | 500 .. 502

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot; style=&quot;text-align:left; color:black;&quot; | Pre-Flood TOTAL
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 1556
| colspan=&quot;1&quot; | 1209
| colspan=&quot;3&quot; | Varied
| colspan=&quot;1&quot; | 2142
| colspan=&quot;1&quot; | 2162
| colspan=&quot;1&quot; | 2164
|}

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;&quot;

|+ Comparison of Post-Flood Chronological Traditions (Age at birth of son)
|-
! colspan=&quot;1&quot; rowspan=&quot;2&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot;  style=&quot;text-align:left; color:black;&quot; | Pre-Flood
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 1556
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 2164
| colspan=&quot;1&quot; | 2162
| colspan=&quot;1&quot; | 2142
| colspan=&quot;3&quot; | Varied

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 100
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 112

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Arphaxad
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 66
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 35
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 135

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Cainan II
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 57
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 130
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 130
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 71
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Eber
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 64
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 34
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 134

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 61
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 59
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 32
| colspan=&quot;5&quot; style=&quot;background-color:#e8e8e8;&quot; | 132
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 135
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Serug	
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 57
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 130
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 132

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 62
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 29
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 79
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 75
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 79 / 179
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 79
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 120

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;9&quot; style=&quot;background-color:#e8e8e8;&quot; | 70

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Abram
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 78
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 75

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Canaan
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 218
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 215

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Egypt
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 238
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 430
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 215
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 430
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 215
|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Sinai +/-
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 40
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | -
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 46
| colspan=&quot;4&quot; style=&quot;background-color:#e8e8e8;&quot; | 40

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot; style=&quot;text-align:left; color:black;&quot; | GRAND TOTAL
| colspan=&quot;1&quot; | 2450
| colspan=&quot;1&quot; | 2666
| colspan=&quot;1&quot; | 2800
| colspan=&quot;1&quot; | 3885
| colspan=&quot;1&quot; | 3754
| colspan=&quot;1&quot; | 3938
| colspan=&quot;3&quot; | Varied
|}

== The Septuagint Chronology ==

While the chronologies of the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' are anchored in Levant-based agricultural cycles and the symbolic interplay of the numbers 40 and 49, the Septuagint (LXX) appears to have been structured around a different set of priorities. Specifically, the LXX's chronological framework seems designed to resolve a significant textual difficulty: the mathematical anomaly of patriarchs potentially outliving the Flood. In the 2017 article, ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', author Paul D. makes the following statement regarding the Septuagint:

&lt;blockquote&gt;“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”&lt;/blockquote&gt;

While Paul D.’s &quot;Whoops Theory&quot; suggests the LXX editor intended to &quot;fix&quot; the timeline but failed in the case of Methuselah, this interpretation potentially overlooks the systemic nature of the changes. If an editor is methodical enough to systematically alter multiple generations by exactly one hundred years, a single &quot;failure&quot; to fix Methuselah could suggest the avoidance of a post-Flood death was not the primary objective.

Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': 

&lt;blockquote&gt;&quot;Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years.&quot;&lt;/blockquote&gt; 

This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development.

=== Demetrius the Chronographer ===
Demetrius the Chronographer, writing as early as the late 3rd century BC (c. 221 BC), represents the earliest known witness to biblical chronological calculations. While only fragments of his work remain, they are significant; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. This presumably places the birth of Shem at 2,164 years—exactly one hundred years before the Flood—aligning his data with the &quot;Long Chronology&quot; of the Septuagint.

In the comment section of the original article, in response to evidence regarding this longer tradition (provided by commenter Roger Quill), Paul D. reaffirms his &quot;Whoops Theory&quot; by challenging the validity of various witnesses to the 187-year begettal age of Methuselah. In this view, Codex Alexandrinus is seen as the lone legitimate witness, while others are discounted: 

* '''Josephus:''' Characterized as dependent on the Masoretic tradition.
* '''Pseudo-Philo:''' Dismissed due to textual corruption (&quot;a real mess&quot;).
* '''Julius Africanus:''' Questioned because his records survive only through the later intermediary, Syncellus.
* '''Demetrius:''' Rejected as a witness because his chronology contains an additional 22 years (rather than the typical 20-year variance) whose precise placement remains unknown.

The claim that Julius Africanus is invalidated due to his survival through an intermediary, or that Demetrius is disqualified by a 22-year variance, is arguably overstated. A plausible explanation for the discrepancy in Demetrius's chronology is the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can easily account for such variances without necessitating the rejection of the witnesses.

=== The Correlations ===
An interesting piece of corroborating evidence exists in the previously mentioned 1864 publication by Rev. John Mills, ''Three Months' Residence at Nablus'', where High Priest Amram records his own chronological dates based on the Samaritan Pentateuch. Priest Amram lists the Flood date as 1307 years after creation, but then lists the birth of Arphaxad as 1309 years—exactly two years after the Flood—which presumably places Shem's birth in year 502 of Noah's life (though Shem's actual birth date in the text is obscured by a typo).

The internal tension in Priest Amram's calculations likely reflects the same two-year variance seen between Demetrius and Africanus. Priest Amram lists the birth years of Shelah, Eber, and Peleg as 1444, 1574, and 1708, respectively. Africanus lists those same birth years as 2397, 2527, and 2661. In each case, the Priest Amram figure differs from the Africanus value by exactly 953 years. While the chronology of Africanus may reach us through an intermediary, as Paul D. notes, the values provided by both Demetrius and Africanus are precisely what one would anticipate to resolve the &quot;Universal Flood&quot; problem.


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      <text bytes="87745" sha1="hbqqxlhqxg1r7e64avhj3tohfquuck4" xml:space="preserve">{{Original research}}
This page evaluates and extends the mathematical insights presented in the 2017 article, ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'' by Paul D. While the original article provides a compelling foundation, this analysis identifies areas where the underlying data and mathematical evidence are more robust than initially presented. The following sections aim to clarify these findings and offer a more precise structural framework.

== Summary of Main Arguments ==
The ages of the patriarchs in Genesis are not intended as historical records, but as a complex symbolic mathematical structure designed by ancient authors. Key points include:

* '''Artificial Mathematical Design:''' Patriarchal ages and event years are based on symbolic or &quot;perfect&quot; numbers (such as 7, 49, and 60) rather than biological or historical reality.
* '''Alignment with Sacred Cycles:''' The chronologies are designed to align significant events—such as the Exodus and the dedication of Solomon’s Temple—with specific &quot;years of the world&quot; (''Anno Mundi''), synchronizing human history with a divine calendar.
* '''The Universal Flood as a Later Insertion:''' Evidence suggests the universal scope of Noah's Flood was a later addition to a patriarchal foundation story. This insertion disrupted the original timelines, forcing recalibrations in the Masoretic Text (MT), Samaritan Pentateuch (SP), and Septuagint (LXX) to avoid chronological contradictions.
* '''Chronological Overlaps:''' In the original numerical framework (prior to recalibration for a universal flood), the mathematical structures resulted in overlaps where certain patriarchs, such as Methuselah, survived beyond the date of the Flood.

= Arichat Yamim =

Most of the patriarchs' lifespans in the Hebrew Bible far exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101).

This phenomenon is difficult to explain, as no known ancient number system features &quot;101&quot; as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle.
 
In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a &quot;perfect&quot; Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows:

*:&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
\frac{7\,\text{šar}}{2} &amp;= 3\,\text{šar}\,\,30\,\text{šūši}  \\ 
&amp;= \left(3 \times 60^2 \, \text{years} \right) + \left(30 \times 60^1 \,\text{years} \right) \\ 
&amp;= 10,800 \, \text{years} + 1,800 \, \text{years} \\
&amp;= 12,600 \, \text{years}
\end{aligned}
&lt;/math&gt;

This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60).

==== Prototype 1: Initial &quot;Mesopotamian&quot; Allocation ====

----

&lt;div style=&quot;background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;&quot;&gt;
The initial &quot;PT1&quot; framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''):

* '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49).
* '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''.
* '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920).
&lt;/div&gt;

----

==== Prototype 2: Refined &quot;Jubilee&quot; Allocation ====

----

&lt;div style=&quot;background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;&quot;&gt;
Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the &quot;Remainder&quot; to each of the two primary groups. This resulted in the &quot;PT2&quot; figures as follows:

* '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees).
* '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees).
* '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949).
&lt;/div&gt;

----

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that result in a patriarch surviving beyond the date of the Flood.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e0f2f1; border-bottom:2px solid #009688;&quot; | PROTOTYPE 1&lt;br/&gt;(PT1)
! colspan=&quot;3&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PROTOTYPE 2&lt;br/&gt;(PT2)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;82 šūši&lt;br/&gt;(4920)&lt;/div&gt;
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;45 šūši&lt;br/&gt;(2700)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;4949&lt;/div&gt;
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2727&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 912

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 905

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 910

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;37 šūši&lt;br/&gt;(2220)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 15 (900)
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2222&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 895

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 6 (360)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot;  | Methuselah
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;46 šūši&lt;br/&gt;(2760)&lt;/div&gt;
| rowspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;32 šūši&lt;br/&gt;(1920)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| rowspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2702&lt;/div&gt;
| rowspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1919&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 16 (960)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 14 (880)
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 14 (840)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam
| rowspan=&quot;18&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;82 šūši&lt;br/&gt;(4920)&lt;/div&gt;
| rowspan=&quot;5&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;40 šūši&lt;br/&gt;(2400)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 16 (960)
| rowspan=&quot;18&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;4949&lt;/div&gt;
| rowspan=&quot;5&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;2401&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 930

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 10 (600)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 7 (420)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Cainan (II)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 7 (420)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 433

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Eber
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;25 šūši&lt;br/&gt;(1500)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 8 (480)
| rowspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1525&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 464

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 4 (240)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 4 (240)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Serug
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 230

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 148

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Abraham
| rowspan=&quot;7&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;17 šūši&lt;br/&gt;(1020)&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| rowspan=&quot;7&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | &lt;div style=&quot;display:inline-block; transform:rotate(270deg);&quot;&gt;1023&lt;/div&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 175

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Isaac
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jacob
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 3 (180)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 147

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Levi
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kohath
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Amram
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 131

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Moses
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 2 (120)
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 120

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! style=&quot;text-align:left; color:black;&quot; | LIFESPAN&lt;br/&gt;DURATION&lt;br/&gt;SUM
| colspan=&quot;6&quot; | 210 šūši&lt;br/&gt;(12,600 years)
|}

== PT2 as the Base Model for Patriarchal Chronologies ==
The &quot;PT2&quot; chronology serves as the foundational model from which subsequent patriarchal lifespans in various textual traditions were derived. Evidence for this remains visible across nearly all biblical records, as they consistently preserve the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1).

* '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost.
* '''The Masoretic Text (MT):''' This tradition shifted 6 years from the &quot;Remainder&quot; to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block.
* '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši'''''.
* '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence.

The use of rounded Mesopotamian figures in the Armenian Eusebius Chronology suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the Septuagint's divergence indicates a later development—likely in Alexandria—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;

|+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum)
|-
! rowspan=&quot;2&quot; | Patriarch Groups
! rowspan=&quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;2&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;3&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! style=&quot;background-color:#e3f2fd;&quot; | Masoretic&lt;br/&gt;(MT)
! style=&quot;background-color:#e3f2fd;&quot; | Samaritan&lt;br/&gt;(SP)
! style=&quot;background-color:#fff3e0;&quot; | Josephus&lt;br/&gt;(94 AD)
! style=&quot;background-color:#fff3e0;&quot; | Eusebius&lt;br/&gt;(325 AD)
! style=&quot;background-color:#fff3e0;&quot; | Septuagint&lt;br/&gt;(LXX)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth to Enoch&lt;br/&gt;&lt;small&gt;(6 Patriarchs)&lt;/small&gt;
| colspan=&quot;2&quot; style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
| style=&quot;background-color:#f9f9f9;&quot; | 4834&lt;br/&gt;&lt;small&gt;(4949 - 115)&lt;/small&gt;
| colspan=&quot;3&quot; style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
|-

| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah, Lamech, Noah&lt;br/&gt;&lt;small&gt;(The Remainder)&lt;/small&gt;
| style=&quot;font-weight:bold; background-color:#f9f9f9;&quot; | 2702
| style=&quot;background-color:#f9f9f9;&quot; | 2696&lt;br/&gt;&lt;small&gt;(2702 - 6)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2323&lt;br/&gt;&lt;small&gt;(2702 - 379)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2626&lt;br/&gt;&lt;small&gt;(2702 - 76)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2642&lt;br/&gt;&lt;small&gt;(2702 - 60)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 2672&lt;br/&gt;&lt;small&gt;(2702 - 30)&lt;/small&gt;
|-

| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam &amp; Shem to Moses&lt;br/&gt;&lt;small&gt;(The &quot;Second Half&quot;)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9; font-weight:bold;&quot; | 4949
| style=&quot;background-color:#f9f9f9;&quot; | 4955&lt;br/&gt;&lt;small&gt;(4949 + 6)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 4834&lt;br/&gt;&lt;small&gt;(4949 - 115)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | —
| style=&quot;background-color:#f9f9f9;&quot; | 5609&lt;br/&gt;&lt;small&gt;(4949 + 660)&lt;/small&gt;
| style=&quot;background-color:#f9f9f9;&quot; | 5930&lt;br/&gt;&lt;small&gt;(4949 + 981)&lt;/small&gt;

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:14px;&quot;
! LIFESPAN DURATION SUM
| colspan=&quot;2&quot; | 12,600
| 11,991
| —
| 13,200
| 13,551
|}
&lt;small&gt;* '''Dash (—)''' indicates where primary sources do not provide complete death data.&lt;/small&gt;

== Comparative Chronology Tables ==

The following table reconstructs lifespan values across multiple chronological traditions. While most values are derived directly from the primary source texts listed in the header, the '''Armenian Eusebius''' chronology does not explicitly record the lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that result in a patriarch surviving beyond the date of the Flood.
* &lt;span style=&quot;color:#333333;&quot;&gt;'''Blank Cells'''&lt;/span&gt; indicate where primary sources do not provide specific lifespan or death data.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! rowspan = &quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;1&quot; rowspan = &quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;2&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;3&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Seth
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 912

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 905

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 910

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 895

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962
| 847
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969
| 720
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;6&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 777
| 653
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 707
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 723
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 753

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Adam
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 930

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600
| rowspan=&quot;9&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 600

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Arpachshad
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 438
| 538
| 535

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Cainan (II)
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | —
| —
| 460

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 433
| 536
| 460

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Eber
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 464
| 404
| 567
| colspan=&quot;2&quot; | 404

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239
| colspan=&quot;2&quot; | 339

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 239
| 342
| 339

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Serug
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 230
| colspan=&quot;2&quot; | 330

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 148
| 198
| 304

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205
| 145
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 205

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Abraham
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 175

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Isaac
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180
| 185
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 180

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jacob
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 147

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Levi
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137
| rowspan=&quot;3&quot; | —
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 137

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Kohath
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 133

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Amram
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 131
| 137
| 136
| colspan=&quot;2&quot; | 132

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Moses
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 120

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! style=&quot;text-align:left; color:black;&quot; | LIFESPAN&lt;br/&gt;DURATION&lt;br/&gt;SUM
| colspan=&quot;2&quot; | 12,600
| colspan=&quot;1&quot; | 11,991
| —
| colspan=&quot;1&quot; | 13,200
| colspan=&quot;1&quot; | 13,551
|}

=== Samaritan Adjustments ===
Four of the pre-flood patriarchs—Jared, Methuselah, Lamech, and Noah—are credited with exceptionally long lives late in the chronology, which creates a potential overlap where these four patriarchs appear to survive Noah's flood. As shown in the above table, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. Other traditions do not employ this specific reduction, but all must address the issue of flood survival, as explained in later sections.

The required reduction in Jared's lifespan was '''115 years'''. Interestingly, as noted in the previous section, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the &quot;Group 1&quot; and &quot;Group 2&quot; patriarchs.

Specifically, this balance was achieved through the following adjustments:
* '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each).
* '''Amram's''' lifespan was increased by five years.

This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing.

=== Masoretic Adjustments ===

In the 2017 article, &quot;[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs],&quot; Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition:

&lt;blockquote&gt;&quot;The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)&quot;&lt;/blockquote&gt;

While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late &quot;tweak&quot; in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges:

&lt;blockquote&gt;&quot;Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above.&quot;&lt;/blockquote&gt;

==== ''Lectio Difficilior Potior'' ====
The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the &quot;harder reading is stronger&quot;) suggests that scribes tend to simplify or &quot;smooth&quot; texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life.

In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges:

* '''Year 500 (of Noah):''' Shem is born.
* '''Year 600 (of Noah):''' The Flood occurs.
* '''Year 700 (of Noah):''' Lamech dies.

This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a &quot;compressed chronology&quot; (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (53, 653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''183 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate &quot;balancing&quot; of total chronological years.

=== Armenian Eusebius Adjustments ===
Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 220 ''šūši'' (or 10 ''šūši'' more than the Masoretic Text). Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system.

Specifically, the following adjustments appear to have occurred for Group 2 patriarchs:
* '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years.
* '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years.
* '''Nahor''' had his lifespan increased by 50 years.
* '''Amram''' had his lifespan increased by 1 year.

The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''.

= It All Started With Grain =

[[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]]

The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the [https://www.biblicalarchaeology.org/daily/news/ancient-bread-jordan/ Black Desert of Jordan]. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops.

The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the &quot;firstfruits of your harvest&quot; (referring to barley) before the Lord:

&lt;blockquote&gt;&quot;then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord&quot;&lt;/blockquote&gt;

To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues:

&lt;blockquote&gt;&quot;And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord.&quot;&lt;/blockquote&gt;

[[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]]

These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the &quot;better things&quot; and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.

This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: 

&lt;blockquote&gt;&quot;And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye &lt;small&gt;(likely emmer wheat or spelt)&lt;/small&gt; were not smitten: for they were not grown up.&quot;&lt;/blockquote&gt;

This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. 

The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest).

=== The Mathematical Structure of Jubilees ===

The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of &quot;weeks&quot;:

* '''Week of Years:''' 7&lt;sup&gt;1&lt;/sup&gt; = 7 years
* '''Jubilee of Years:''' 7&lt;sup&gt;2&lt;/sup&gt; = 49 years
* '''Week of Jubilees:''' 7&lt;sup&gt;3&lt;/sup&gt; = 343 years
* '''Jubilee of Jubilees:''' 7&lt;sup&gt;4&lt;/sup&gt; = 2,401 years

The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land.

[[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]]

The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested &quot;Jubilee of Jubilees&quot; (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle.

* The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year.
* The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years.
* The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid.
* The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs.

== The Birth of Shem (A Digression) ==
Were Noah's sons born when Noah was 500 or 502?

==== The 502 Calculation ====
While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that &quot;Noah was 500 years old, and Noah begat Shem, Ham, and Japheth,&quot; this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: 
# Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). 
# Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10])

'''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples.

==== Competing Narratives ====
According to the Book of Jubilees 4:33, Shem was the oldest son, born in Noah's 500&lt;sup&gt;th&lt;/sup&gt; year, followed by Ham in the 502&lt;sup&gt;nd&lt;/sup&gt; year, and Japheth in the 505&lt;sup&gt;th&lt;/sup&gt;. This seems to be in contradiction with the Genesis narrative which places Shem as the second son in year 502.

==== ''Lectio Difficilior Potior'' ====

The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the harder reading is stronger) suggests that scribes tend to simplify or &quot;smooth&quot; texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life.

In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28%7Cversion=SPE Lamech’s 53rd year]. If we combine that with the 500-year figure for Noah's age at the birth of his sons and the [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB Septuagint figure of 753] for Lamech's death, a suspiciously neat pattern emerges:

* '''Year 500 (of Noah):''' Shem is born.
* '''Year 600 (of Noah):''' The Flood occurs.
* '''Year 700 (of Noah):''' Lamech dies.

This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a &quot;compressed chronology&quot; (500–600–700) is a hallmark of editorial smoothing—likely values adjusted during the introduction of the universal flood narrative to create a more &quot;perfect&quot; structure.

Applying ''Lectio Difficilior'', we can reasonably set aside the figures 53, 500, and 753 as being &quot;too structured to be true,&quot; shifting our focus to less symmetrical values such as '''502''' for Shem's birth.

== The Mathematical relationship between 40 and 49 ==

As noted previously, the ''Jubilees'' author envisions early Hebraic history within a &quot;Jubilee of Jubilees&quot; fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows:

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 (7-3)(7+3) &amp;=  7^2 - 3^2 \\
 &amp;= 49 - 9 \\
 &amp;= 40
\end{aligned}
&lt;/math&gt;

The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40.

[[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] 

Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years):

[[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]]

&lt;div style=&quot;line-height: 1.5;&quot;&gt;
* '''Book of Jubilees (Adam to Canaan)'''
** Pre-Flood Patriarch years:
*:&lt;math display=&quot;block&quot;&gt;\frac{7^4 - 1}{2} + 3^2 = 1200 + 9 = 1209&lt;/math&gt;
** Post-Flood Patriarch years:
*:&lt;math display=&quot;block&quot;&gt;\frac{7^4 + 1}{2} + (7^2 - 3^2) = 1201 + 40 = 1241&lt;/math&gt;
** Total Years:
*:&lt;math display=&quot;block&quot;&gt;7^4 + 7^2 = 2401 + 49 = 2450&lt;/math&gt;
&lt;/div&gt;

== The Samaritan Pentateuch Connection ==
Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition.

[[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]]

=== Determining Chronological Priority ===
A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem is born in year 1207 (reconstructed as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 &quot;Jubilee of Jubilees.&quot;

This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's &quot;pivot&quot; position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment.

=== The 350-Year Symmetrical Extension ===
Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a &quot;week of Jubilees&quot; (343 years) plus a &quot;week of years&quot; (7 years).

&lt;div style=&quot;line-height: 1.5;&quot;&gt;
* '''Book of Jubilees (Adam to Canaan):'''
:&lt;math display=&quot;block&quot;&gt;7^4 + 7^2 = 2401 + 49 = 2450 \text{ years}&lt;/math&gt;

* '''Samaritan Pentateuch (Adam to Conquest):'''
:&lt;math display=&quot;block&quot;&gt;\begin{aligned} \text{(Base 49): } &amp; 7^4 + 7^3 + 7^2 + 7^1 = 2401 + 343 + 49 + 7 = 2800 \\ \text{(Base 40): } &amp; 70 \times 40 = 2800 \end{aligned}&lt;/math&gt;
&lt;/div&gt;

=== Mathematical Structure of the Early Samaritan Chronology ===
To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each):

* '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''.
* '''The second cluster''' represents a second millennium.
* '''The final set''' contains 20 blocks (4x5), representing '''800 years'''.

Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record.


[[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]]

== Living in the Rough ==

[[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]]

As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a &quot;generation&quot;) are less clear, but the number is consistently associated with &quot;living in the rough&quot;—periods of trial, transition, or exile away from the comforts of civilization. 

Examples of this pattern include:
* '''Noah''' lived within the ark for 40 days while the rain fell; 
* '''Israel''' wandered in the wilderness for 40 years; 
* '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. 

Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era.

Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the &quot;civilized&quot; city.

In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means &quot;supplanter&quot;—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a &quot;skillful hunter&quot; and a &quot;man of the field,&quot; while Jacob is &quot;dwelling in tents&quot; and cooking &quot;lentil stew.&quot;

The text draws a clear parallel between these two sets of brothers:
* In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. 
* In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this &quot;clever&quot; intervention, Jacob successfully secures the favor that Cain could not.

Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. 

This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the &quot;rough&quot; of the wilderness.

Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three &quot;generations&quot; (3 x 40).

The relationship between these two &quot;three-fold&quot; lifespans can be expressed by the same nine-year offset identified in the Shem chronology:

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 49 - 9 &amp;= 40 \\
 3(49 - 9) &amp;= 3(40) \\
 147 - 27 &amp;= 120
\end{aligned}
&lt;/math&gt;

[[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] 

Samaritan tradition maintains a unique cultural link to the &quot;pastoralist&quot; ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the &quot;grain-based&quot; agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to &quot;wilderness living,&quot; the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit.

=== A narrative foil for Joshua ===
As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a &quot;foil&quot; for Jacob: Moses lived exactly three &quot;generations&quot; (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization.

This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding &quot;foil&quot; to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam?

&lt;math display=&quot;block&quot;&gt;
\begin{aligned}
 49 - 9 &amp;= 40 \\
 70(49 - 9) &amp;= 70(40) \\
 3,430 - 630 &amp;= 2,800
\end{aligned}
&lt;/math&gt;

Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific &quot;foil&quot; to Joshua existed in the original architect's mind.

The Samaritans do maintain a continuous, running calendar. However, this system uses a &quot;Conquest Era&quot; epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. For instance, at that time, the [[w:Hyksos|Hyksos]] were only beginning to establish control over Lower Egypt. Furthermore, the [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC.

There is, however, one more possibility to consider: what if the &quot;irreconcilable&quot; nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent &quot;foil&quot; event occurred exactly 3,430 years after Creation? 

As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare &quot;smoking gun&quot; for the artificial design of the chronology.

=== A Mystery Solved ===
In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest.

The significant milestones in this timeline include:
* '''Year 1''': &quot;This year the world and Adam were created.&quot; 
* '''Year 2801''': &quot;The first year of Israel's rule in the land of Canaan.&quot; 
* '''Year 3423''': &quot;The commencement of the kingdom of Solomon.&quot;

According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological &quot;anchor&quot; was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself.

In Creation Year 2800—marking exactly 70 &quot;generations&quot; of 40 years—God entered Canaan in a tent, embodying the &quot;living rough&quot; wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 &quot;Jubilees&quot; of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70&lt;sup&gt;th&lt;/sup&gt; generation to the 70&lt;sup&gt;th&lt;/sup&gt; Jubilee:

:&lt;math&gt;70 \times 40 + (70 \times 9) = 70 \times 49&lt;/math&gt;

=== Mathematical Structure of the Later Samaritan Chronology ===
The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years:

* '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation.
* '''The second cluster''' spans years '''3,000 to 4,000''' after Creation.
* '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation.

The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year &quot;Tabernacle&quot; era''', which is composed of:
* The 40 years of wandering in the wilderness;
* The 6 years of the initial conquest;
* The 630 years between the conquest and the completion of Solomon’s Temple.

Following the '''676-year &quot;Tabernacle&quot; era''' is a '''400-year &quot;First Temple&quot; era''' and a '''70-year &quot;Exile&quot; era''' as detailed in the historical breakdown below.

[[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]]

The Book of Daniel states: &quot;In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it&quot; (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''.

The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure.

High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. 

Using this synchronization, other significant milestones are mapped as follows:
* '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''.
* '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''.
* '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''.

High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year &quot;Second Temple Persian Era&quot; (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. 

The remainder of the diagram represents a 300-year &quot;Second Temple Hellenistic Era,&quot; which concludes in '''Creation Year 4400''' (30 BC).

=== Competing Temples ===
There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year &quot;Second Temple Persian Era&quot; (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework.

According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple:

&lt;blockquote&gt;&quot;But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel&quot; (Ezra 4:3).&lt;/blockquote&gt;

After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population.

[[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]]

This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC.

= The Rise of Zadok =
The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years:

* '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation.
* '''The second cluster''' spans years '''3,000 to 4,000''' after Creation.
* '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation.

The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section.  Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness.  To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event.

[[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]]

The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000.

= Hellenized Jews =
Hellenized Jews were
ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint.
= Start TBD =

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center;&quot;
|+ Comparison of Prototype Chronologies (Age at death)
|-
! rowspan = &quot;2&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | Patriarch
! colspan=&quot;1&quot; rowspan = &quot;2&quot; style=&quot;background-color:#f3e5f5; border-bottom:2px solid #9c27b0;&quot; | PT2
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 962 &lt;br/&gt; &lt;small&gt;(847)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(847)&lt;/small&gt;
| 962 &lt;br/&gt; &lt;small&gt;(1196)&lt;/small&gt;
| 847 &lt;br/&gt; &lt;small&gt;(847)&lt;/small&gt;
| 962 &lt;br/&gt; &lt;small&gt;(1302)&lt;/small&gt;
| colspan=&quot;2&quot; | 962 &lt;br/&gt; &lt;small&gt;(1282)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(1282)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(1302)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(1304)&lt;/small&gt;

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;10&quot; style=&quot;background-color:#e8e8e8; font-weight:bold; color:#555;&quot; | 365

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969 &lt;br/&gt; &lt;small&gt;(721)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(721)&lt;/small&gt;
| 969 &lt;br/&gt; &lt;small&gt;(969)&lt;/small&gt;
| 720 &lt;br/&gt; &lt;small&gt;(720)&lt;/small&gt;
| 969 &lt;br/&gt; &lt;small&gt;(975)&lt;/small&gt;
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 969 &lt;br/&gt; &lt;small&gt;(955)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(955)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(975)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(977)&lt;/small&gt;

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 783 &lt;br/&gt; &lt;small&gt;(656)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(656)&lt;/small&gt;
| 777 &lt;br/&gt; &lt;small&gt;(782)&lt;/small&gt;
| 653 &lt;br/&gt; &lt;small&gt;(653)&lt;/small&gt;
| 707 &lt;br/&gt; &lt;small&gt;(788)&lt;/small&gt;
| 723 &lt;br/&gt; &lt;small&gt;(788)&lt;/small&gt;
| 753 &lt;br/&gt; &lt;small&gt;(788)&lt;/small&gt;
| colspan=&quot;2&quot; | — &lt;br/&gt; &lt;small&gt;(788)&lt;/small&gt;
| — &lt;br/&gt; &lt;small&gt;(790)&lt;/small&gt;

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950 &lt;br/&gt; &lt;small&gt;(601)&lt;/small&gt;
| colspan=&quot;5&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 950 &lt;br/&gt; &lt;small&gt;(600)&lt;/small&gt;
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | — &lt;br/&gt; &lt;small&gt;(600)&lt;/small&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | — &lt;br/&gt; &lt;small&gt;(602)&lt;/small&gt;

|-
| style=&quot;font-weight:bold; text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 600 &lt;br/&gt; &lt;small&gt;(101)&lt;/small&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | — &lt;br/&gt; &lt;small&gt;(101)&lt;/small&gt;
| colspan=&quot;2&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 600 &lt;br/&gt; &lt;small&gt;(100)&lt;/small&gt;
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | — &lt;br/&gt; &lt;small&gt;(100)&lt;/small&gt;
| colspan=&quot;5&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 600 &lt;br/&gt; &lt;small&gt;(100)&lt;/small&gt;

|}

= End TBD =

'''Table Legend:'''
* &lt;span style=&quot;color:#b71c1c;&quot;&gt;'''Red Cells'''&lt;/span&gt; indicate figures that could result in patriarchs surviving beyond the date of the Flood.
* &lt;span style=&quot;color:#333333;&quot;&gt;'''Blank Cells'''&lt;/span&gt; indicate where primary sources do not provide specific lifespan or death data.

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;&quot;
|+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son)

|-
! rowspan=&quot;2&quot; colspan=&quot;1&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Adam
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 130
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 230

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Seth
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 105
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 205

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Enosh
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 90
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 190

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Kenan
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 70
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 170

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Mahalalel
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 66
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | 65
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 165

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Jared
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 61
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 162
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 62
| colspan=&quot;6&quot; style=&quot;background-color:#f9f9f9;&quot; | 162

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Enoch
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 65
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 165

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Methuselah
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 65
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 187
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 67
| colspan=&quot;3&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 167 / 187
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 167
| colspan=&quot;2&quot; style=&quot;background-color:#f9f9f9;&quot; | 187

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Lamech
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 55
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 182
| colspan=&quot;1&quot; style=&quot;background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;&quot; | 53
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 182 / 188
| colspan=&quot;5&quot; style=&quot;background-color:#f9f9f9;&quot; | 188

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Noah
| colspan=&quot;9&quot; style=&quot;background-color:#e8e8e8;&quot; | 500 .. 502

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot; style=&quot;text-align:left; color:black;&quot; | Pre-Flood TOTAL
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 1556
| colspan=&quot;1&quot; | 1209
| colspan=&quot;3&quot; | Varied
| colspan=&quot;1&quot; | 2142
| colspan=&quot;1&quot; | 2162
| colspan=&quot;1&quot; | 2164
|}

{| class=&quot;wikitable&quot; style=&quot;width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;&quot;

|+ Comparison of Post-Flood Chronological Traditions (Age at birth of son)
|-
! colspan=&quot;1&quot; rowspan=&quot;2&quot; | Patriarch
! colspan=&quot;3&quot; style=&quot;background-color:#e3f2fd; border-bottom:2px solid #2196f3;&quot; | SHORT CHRONOLOGY
! colspan=&quot;6&quot; style=&quot;background-color:#fff3e0; border-bottom:2px solid #ff9800;&quot; | LONG CHRONOLOGY

|-
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Jubilees &lt;br/&gt; (Jub)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Masoretic &lt;br/&gt; (MT)
! colspan=&quot;1&quot; style=&quot;background-color:#e3f2fd;&quot; | Samaritan &lt;br/&gt; (SP)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Demetrius &lt;br/&gt; (204 BC)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Africanus &lt;br/&gt; (221 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Theophilus &lt;br/&gt; (192 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Septuagint &lt;br/&gt; (LXX)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Eusebius &lt;br/&gt; (325 AD)
! colspan=&quot;1&quot; style=&quot;background-color:#fff3e0;&quot; | Josephus &lt;br/&gt; (94 AD)

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot;  style=&quot;text-align:left; color:black;&quot; | Pre-Flood
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 1556
| colspan=&quot;1&quot; | 1209
| colspan=&quot;1&quot; | 2164
| colspan=&quot;1&quot; | 2162
| colspan=&quot;1&quot; | 2142
| colspan=&quot;3&quot; | Varied

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Shem
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 100
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 112

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Arphaxad
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 66
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 35
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 135

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Cainan II
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 57
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 130
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 130
| colspan=&quot;2&quot; style=&quot;background-color:#e8e8e8;&quot; | -

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Shelah
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 71
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Eber
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 64
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 34
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 134

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Peleg
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 61
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;7&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Reu
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 59
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 32
| colspan=&quot;5&quot; style=&quot;background-color:#e8e8e8;&quot; | 132
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 135
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 130

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Serug	
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 57
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 30
| colspan=&quot;6&quot; style=&quot;background-color:#e8e8e8;&quot; | 130
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 132

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Nahor
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 62
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 29
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 79
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 75
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 79 / 179
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 79
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 120

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Terah
| colspan=&quot;9&quot; style=&quot;background-color:#e8e8e8;&quot; | 70

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Abram
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 78
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 75

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Canaan
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 218
| colspan=&quot;8&quot; style=&quot;background-color:#e8e8e8;&quot; | 215

|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Egypt
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 238
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 430
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 215
| colspan=&quot;1&quot; style=&quot;background-color:#e8e8e8;&quot; | 430
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 215
|-
! colspan=&quot;1&quot; style=&quot;text-align:left; background-color:#f9f9f9;&quot; | Sinai +/-
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | 40
| colspan=&quot;1&quot; style=&quot;background-color:#f9f9f9;&quot; | -
| colspan=&quot;3&quot; style=&quot;background-color:#e8e8e8;&quot; | 46
| colspan=&quot;4&quot; style=&quot;background-color:#e8e8e8;&quot; | 40

|- style=&quot;background-color:#333; color:white; font-weight:bold; font-size:15px;&quot;
! colspan=&quot;1&quot; style=&quot;text-align:left; color:black;&quot; | GRAND TOTAL
| colspan=&quot;1&quot; | 2450
| colspan=&quot;1&quot; | 2666
| colspan=&quot;1&quot; | 2800
| colspan=&quot;1&quot; | 3885
| colspan=&quot;1&quot; | 3754
| colspan=&quot;1&quot; | 3938
| colspan=&quot;3&quot; | Varied
|}

== The Septuagint Chronology ==

While the chronologies of the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' are anchored in Levant-based agricultural cycles and the symbolic interplay of the numbers 40 and 49, the Septuagint (LXX) appears to have been structured around a different set of priorities. Specifically, the LXX's chronological framework seems designed to resolve a significant textual difficulty: the mathematical anomaly of patriarchs potentially outliving the Flood. In the 2017 article, ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', author Paul D. makes the following statement regarding the Septuagint:

&lt;blockquote&gt;“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”&lt;/blockquote&gt;

While Paul D.’s &quot;Whoops Theory&quot; suggests the LXX editor intended to &quot;fix&quot; the timeline but failed in the case of Methuselah, this interpretation potentially overlooks the systemic nature of the changes. If an editor is methodical enough to systematically alter multiple generations by exactly one hundred years, a single &quot;failure&quot; to fix Methuselah could suggest the avoidance of a post-Flood death was not the primary objective.

Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': 

&lt;blockquote&gt;&quot;Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years.&quot;&lt;/blockquote&gt; 

This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development.

=== Demetrius the Chronographer ===
Demetrius the Chronographer, writing as early as the late 3rd century BC (c. 221 BC), represents the earliest known witness to biblical chronological calculations. While only fragments of his work remain, they are significant; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. This presumably places the birth of Shem at 2,164 years—exactly one hundred years before the Flood—aligning his data with the &quot;Long Chronology&quot; of the Septuagint.

In the comment section of the original article, in response to evidence regarding this longer tradition (provided by commenter Roger Quill), Paul D. reaffirms his &quot;Whoops Theory&quot; by challenging the validity of various witnesses to the 187-year begettal age of Methuselah. In this view, Codex Alexandrinus is seen as the lone legitimate witness, while others are discounted: 

* '''Josephus:''' Characterized as dependent on the Masoretic tradition.
* '''Pseudo-Philo:''' Dismissed due to textual corruption (&quot;a real mess&quot;).
* '''Julius Africanus:''' Questioned because his records survive only through the later intermediary, Syncellus.
* '''Demetrius:''' Rejected as a witness because his chronology contains an additional 22 years (rather than the typical 20-year variance) whose precise placement remains unknown.

The claim that Julius Africanus is invalidated due to his survival through an intermediary, or that Demetrius is disqualified by a 22-year variance, is arguably overstated. A plausible explanation for the discrepancy in Demetrius's chronology is the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can easily account for such variances without necessitating the rejection of the witnesses.

=== The Correlations ===
An interesting piece of corroborating evidence exists in the previously mentioned 1864 publication by Rev. John Mills, ''Three Months' Residence at Nablus'', where High Priest Amram records his own chronological dates based on the Samaritan Pentateuch. Priest Amram lists the Flood date as 1307 years after creation, but then lists the birth of Arphaxad as 1309 years—exactly two years after the Flood—which presumably places Shem's birth in year 502 of Noah's life (though Shem's actual birth date in the text is obscured by a typo).

The internal tension in Priest Amram's calculations likely reflects the same two-year variance seen between Demetrius and Africanus. Priest Amram lists the birth years of Shelah, Eber, and Peleg as 1444, 1574, and 1708, respectively. Africanus lists those same birth years as 2397, 2527, and 2661. In each case, the Priest Amram figure differs from the Africanus value by exactly 953 years. While the chronology of Africanus may reach us through an intermediary, as Paul D. notes, the values provided by both Demetrius and Africanus are precisely what one would anticipate to resolve the &quot;Universal Flood&quot; problem.


[[Category:Religion]]</text>
      <sha1>hbqqxlhqxg1r7e64avhj3tohfquuck4</sha1>
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  </page>
  <page>
    <title>User:ThinkingScience/Draftspace/Coursera</title>
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    <revision>
      <id>2803950</id>
      <parentid>2803824</parentid>
      <timestamp>2026-04-09T15:56:23Z</timestamp>
      <contributor>
        <username>ThinkingScience</username>
        <id>3061446</id>
      </contributor>
      <comment>/* w 15(easter caused disruptions in the schedule), Monday, April 6 */ New section for Thursday, April 9</comment>
      <origin>2803950</origin>
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      <text bytes="7269" sha1="43ieve2lk1sj7jaxb05uve5cd5kla5s" xml:space="preserve">This is a continuation of [[User:Dekatriofovia/Draftspace/Coursera]].

I'm continuing to make notes on a computer with a screen that allows me to see text more clearly.

== w 13, Thursday, March 26, 2026 ==

March 26: We are still at the transcripts and I'm supposed to read from page 4 to page 16...which I doubt I'll be able to do since I have much less time right now. Tomorrow or later in the future I can reflect on how this went if I don't gain any more insights today.
Me and my mother made this more organized this time. We decided that during certain days and hours of the week we will 'study together' but that also includes homework. My homework was page 4-16. We'll see how that goes...

Today was a day we had scheduled. 2 hours studying, taking turns reading paragraphs.

We began at page 16, which is 2 pages after a chapter about Bernard Mandeville and Adam Smith begins, and went until page 25 of the transcript where the chapter about Auguste Comte begins.

Now we got a new day scheduled along with a suitable time and then we'll read another 2 hours I guess.

== w 13, Saturday, March 28 ==

This is the 2nd day we studied for 2 hours at a specific day and a specific hour. With other words before March 26 we managed to make a schedule and now the schedule is complete. 6 hours per week, 3 days a week and 2 hours per day.

We read from page 16 and until page 33 where &quot;3.6 Comte’s Religion of Humanity&quot; begins.

== w 14, Monday, March 30 ==

Our study technique has changed now as we have started to view the videos instead of only focusing on the transcript. The videos contain the transcript so it makes sense and the videos automatically pause when there's a question to ask the student whether they've understood the material so far.

The two previous days, Thursday and Saturday our &quot;study technique&quot; was to read the transcript, one paragraph each person in our own pace and if we asked the other we needed more time we gave that time to the other person. You don't need a family relationship for this. Any two persons can agree to do that as long as there is mutual respect.

My mother was better at listening with focus on her end to what our teacher &quot;Dr. Bart van Heerikhuizen&quot; said and showed on his media slides.

== w 14, Thursday and Friday, April 2 and 3 ==

I'm still getting used to learning our new way which I'm trying to get used to. My mother did not find that watching the video helped very much with understanding and she opted to read the text first then watch the video.

Myself I try to do the same. So sad that what I'm studying isn't on Wikiversity. Maybe what I learn I can later use here on Wikiversity? ie. if I learn about Adam Smith on my own using my own sources I could create a &quot;course&quot; too but on Wikiversity with knowledge for everyone. Though with my attention span who knows if that will ever be completed haha. Dreams to dream.

Though let's talk tech and problems(both in a good way problems and in a bad way problems and perhaps even neutral way problems) on Coursera. If I gather enough interesting problems maybe that might lead to some sort of &quot;portal&quot; of information for a particular subject, ie. Coursera. What studying methods do they use? What studying methods do the universities and other institutions use through them?

[[User:ThinkingScience/Draftspace/CourseraHeadscratchers]] - This is for personal notes that are about problems or &quot;bugs&quot; on the site or me making notes of things I found helpful or less helpful in regards to the &quot;system&quot;. If I gather enough notes that might make it worth to make a page on Wikiversity all for the better. If not, at least I tried and I told you what I find interesting and what I find less interesting and more toward 'what can be improved'.

== w 15(easter caused disruptions in the schedule), Monday, April 6 ==

It did not go very well as I fell into my &quot;old habits&quot;, so for a future &quot;studying together&quot; I will now propose to my mother that we can study together but text only, no voice.

On Monday my mother was &quot;confused&quot; regarding how we learn best and I've not figured that out for myself yet. Part of it though is probably reading with another student/human being and taking turns, I read one paragraph, my studying partner reads the next and so forth rinse and repeat. Trying something new to discover if perhaps I'm better at studying reading alone but actively collaborating with another student might be the way to go.

She used to read alone and that was good for her but this Monday when she was extra stressed due to her personal life with scheduled stuff, I felt her stress and then the rest of that day was &quot;destroyed&quot; for me.

I don't think I learnt anything yesterday on Monday April 6. Thus I think it is important to try new things and &quot;text only collaborative studying&quot; might do the trick. Perhaps combining this with an Etherpad session might help, for note-taking.

Last time I hesitated showing my schedule but this time I think it would just be common sense so here it is:

UTC TIME: 07:30 - 09:30 (2 hours a day, 6 hours a week)

* Monday
* Thursday
* Saturday

== w 15, Thursday, April 9 ==

I insisted on trying the new &quot;study technique&quot; where we do not talk at each other but my mother had a greater need in talking. So it happened all through a conversation: 

* She: &quot;Lets talk for a while&quot;
* Me: &quot;But do you think it will help you learn?&quot; and &quot;If you believe it helps you sure let's talk&quot;
* She: &quot;Ok&quot;
* Me: &quot;but I will connect because of your learning&quot;

That's what happened, then we talked using 'live' voice chat.(not through Coursera)
It did not go as I had planned with other words but since I'm not only here for me but I am mainly a &quot;group person&quot; and if I'm alone I'll need &quot;hand-holding&quot; even if I'm an adult cause I feel like I have a &quot;similar to PTSD&quot; background that somehow made it very hard for me to study in my earlier years and I wouldn't be able to take this course solo because of that, I need a &quot;study buddy&quot; cause otherwise I easily isolate myself from the outside world.

She learnt with my help that the &quot;Discussion Forums&quot; posts she made were &quot;breaking a silence&quot; of &quot;a year ago&quot; and she laughed and I intended it as a joke to lighten up the mood after we found it difficult to reach fellow classmates through the forums.
The most recent post I can find now is from 4 months ago from another user. That probably means there are probably other classmates too but the forum inactivity(not exactly &quot;alive&quot; with activity at 2026-04-09 UTC) might mean there is nobody to collaborate with right now.
Also I have noticed users on the forums with the label &quot;unenrolled&quot;. Perhaps the change to charge for every lesson happened within last year?

Today we started with 1.8 and read until the end but then we had an argument about continuing to module 2 or first doing the Readings and Quiz before we go on to module 2 and that took some time. That's where we stopped. It took us our usual 2 hours. As another Wikiversity user told me( this is my interpretation of what they told me: ) Coursera's user interface may be difficult to work with, it may take some time to learn how to use it.

Tomorrow we will study together instead of on Saturday because &quot;real life&quot; caught up with at least me regarding that day.</text>
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      <id>2804104</id>
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        <username>ThinkingScience</username>
        <id>3061446</id>
      </contributor>
      <comment>/* w 15, Thursday, April 9 */ == w 15, Friday, April 10 ==</comment>
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      <text bytes="7402" sha1="qk2kn34jc9mxtmlpr5tmqxedwbktfqz" xml:space="preserve">This is a continuation of [[User:Dekatriofovia/Draftspace/Coursera]].

I'm continuing to make notes on a computer with a screen that allows me to see text more clearly.

== w 13, Thursday, March 26, 2026 ==

March 26: We are still at the transcripts and I'm supposed to read from page 4 to page 16...which I doubt I'll be able to do since I have much less time right now. Tomorrow or later in the future I can reflect on how this went if I don't gain any more insights today.
Me and my mother made this more organized this time. We decided that during certain days and hours of the week we will 'study together' but that also includes homework. My homework was page 4-16. We'll see how that goes...

Today was a day we had scheduled. 2 hours studying, taking turns reading paragraphs.

We began at page 16, which is 2 pages after a chapter about Bernard Mandeville and Adam Smith begins, and went until page 25 of the transcript where the chapter about Auguste Comte begins.

Now we got a new day scheduled along with a suitable time and then we'll read another 2 hours I guess.

== w 13, Saturday, March 28 ==

This is the 2nd day we studied for 2 hours at a specific day and a specific hour. With other words before March 26 we managed to make a schedule and now the schedule is complete. 6 hours per week, 3 days a week and 2 hours per day.

We read from page 16 and until page 33 where &quot;3.6 Comte’s Religion of Humanity&quot; begins.

== w 14, Monday, March 30 ==

Our study technique has changed now as we have started to view the videos instead of only focusing on the transcript. The videos contain the transcript so it makes sense and the videos automatically pause when there's a question to ask the student whether they've understood the material so far.

The two previous days, Thursday and Saturday our &quot;study technique&quot; was to read the transcript, one paragraph each person in our own pace and if we asked the other we needed more time we gave that time to the other person. You don't need a family relationship for this. Any two persons can agree to do that as long as there is mutual respect.

My mother was better at listening with focus on her end to what our teacher &quot;Dr. Bart van Heerikhuizen&quot; said and showed on his media slides.

== w 14, Thursday and Friday, April 2 and 3 ==

I'm still getting used to learning our new way which I'm trying to get used to. My mother did not find that watching the video helped very much with understanding and she opted to read the text first then watch the video.

Myself I try to do the same. So sad that what I'm studying isn't on Wikiversity. Maybe what I learn I can later use here on Wikiversity? ie. if I learn about Adam Smith on my own using my own sources I could create a &quot;course&quot; too but on Wikiversity with knowledge for everyone. Though with my attention span who knows if that will ever be completed haha. Dreams to dream.

Though let's talk tech and problems(both in a good way problems and in a bad way problems and perhaps even neutral way problems) on Coursera. If I gather enough interesting problems maybe that might lead to some sort of &quot;portal&quot; of information for a particular subject, ie. Coursera. What studying methods do they use? What studying methods do the universities and other institutions use through them?

[[User:ThinkingScience/Draftspace/CourseraHeadscratchers]] - This is for personal notes that are about problems or &quot;bugs&quot; on the site or me making notes of things I found helpful or less helpful in regards to the &quot;system&quot;. If I gather enough notes that might make it worth to make a page on Wikiversity all for the better. If not, at least I tried and I told you what I find interesting and what I find less interesting and more toward 'what can be improved'.

== w 15(easter caused disruptions in the schedule), Monday, April 6 ==

It did not go very well as I fell into my &quot;old habits&quot;, so for a future &quot;studying together&quot; I will now propose to my mother that we can study together but text only, no voice.

On Monday my mother was &quot;confused&quot; regarding how we learn best and I've not figured that out for myself yet. Part of it though is probably reading with another student/human being and taking turns, I read one paragraph, my studying partner reads the next and so forth rinse and repeat. Trying something new to discover if perhaps I'm better at studying reading alone but actively collaborating with another student might be the way to go.

She used to read alone and that was good for her but this Monday when she was extra stressed due to her personal life with scheduled stuff, I felt her stress and then the rest of that day was &quot;destroyed&quot; for me.

I don't think I learnt anything yesterday on Monday April 6. Thus I think it is important to try new things and &quot;text only collaborative studying&quot; might do the trick. Perhaps combining this with an Etherpad session might help, for note-taking.

Last time I hesitated showing my schedule but this time I think it would just be common sense so here it is:

UTC TIME: 07:30 - 09:30 (2 hours a day, 6 hours a week)

* Monday
* Thursday
* Saturday

== w 15, Thursday, April 9 ==

I insisted on trying the new &quot;study technique&quot; where we do not talk at each other but my mother had a greater need in talking. So it happened all through a conversation: 

* She: &quot;Lets talk for a while&quot;
* Me: &quot;But do you think it will help you learn?&quot; and &quot;If you believe it helps you sure let's talk&quot;
* She: &quot;Ok&quot;
* Me: &quot;but I will connect because of your learning&quot;

That's what happened, then we talked using 'live' voice chat.(not through Coursera)
It did not go as I had planned with other words but since I'm not only here for me but I am mainly a &quot;group person&quot; and if I'm alone I'll need &quot;hand-holding&quot; even if I'm an adult cause I feel like I have a &quot;similar to PTSD&quot; background that somehow made it very hard for me to study in my earlier years and I wouldn't be able to take this course solo because of that, I need a &quot;study buddy&quot; cause otherwise I easily isolate myself from the outside world.

She learnt with my help that the &quot;Discussion Forums&quot; posts she made were &quot;breaking a silence&quot; of &quot;a year ago&quot; and she laughed and I intended it as a joke to lighten up the mood after we found it difficult to reach fellow classmates through the forums.
The most recent post I can find now is from 4 months ago from another user. That probably means there are probably other classmates too but the forum inactivity(not exactly &quot;alive&quot; with activity at 2026-04-09 UTC) might mean there is nobody to collaborate with right now.
Also I have noticed users on the forums with the label &quot;unenrolled&quot;. Perhaps the change to charge for every lesson happened within last year?

Today we started with 1.8 and read until the end but then we had an argument about continuing to module 2 or first doing the Readings and Quiz before we go on to module 2 and that took some time. That's where we stopped. It took us our usual 2 hours. As another Wikiversity user told me( this is my interpretation of what they told me: ) Coursera's user interface may be difficult to work with, it may take some time to learn how to use it.

Tomorrow we will study together instead of on Saturday because &quot;real life&quot; caught up with at least me regarding that day.

== w 15, Friday, April 10 ==

My mother found something on Wikibooks so we're looking at that instead now...so much for &quot;planning&quot;.</text>
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  <page>
    <title>Digital Media Concepts/Mezger Engine in Porsche 911 Models</title>
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      <id>2804037</id>
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        <username>Aali19</username>
        <id>3062035</id>
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      <comment>added images.</comment>
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      <text bytes="4954" sha1="tchf5uaaoxp5icofqi31ku4lm5yx3x9" xml:space="preserve">{{DISPLAYTITLE:The Mezger Engine}}

=The Mezger Engine: Porsche’s Racing DNA in Road Cars =

=== Introduction ===
[[https://news.dupontregistry.com/blogs/buying-guides/last-productionporsche-mezger-flat-six-engine-997-gt3rs-40?utm_source=]]
[[File:Hans-Mezger-PFF-2.jpg||thumb|Hans-Mezger-PFF-2]]

The Mezger engine is widely considered one of the most important and respected engines in the history of Porsche. Named after engineer Hans Mezger, this engine stands out because it directly connects Porsche’s racing technology to its road cars. Unlike standard production engines, the Mezger engine was built with motorsport in mind, which is why it became a key component in high-performance models like the GT3, Turbo, and GT2.&lt;ref&gt;{{Cite journal|last=Mezger|first=Hans|date=1978|title=Turbocharging Engines for Racing and Passenger Cars|url=https://www.jstor.org/stable/44632583|journal=SAE Transactions|volume=87|pages=2779–2797|issn=0096-736X}}&lt;/ref&gt;

== Background and Origins ==


The Mezger engine did not start as a typical road car engine. Instead, it evolved from Porsche’s racing programs, particularly endurance racing and Le Mans 24hr racing prototypes. The design traces back to engines used in race cars like the GT1, which influenced its structure and performance capabilities.

Because of this, the Mezger engine carried over many racing features, making it far more durable and performance-focused than standard engines. This is one of the main reasons why enthusiasts respect it so much today.

== Technical Design and Features ==
[[https://www.hemmings.com/stories/inside-the-porsche-mezger-engine-in-the-911-turbo-gt3-and-gt2/]]

Flat-Six Configuration

The Mezger engine uses a [[wikipedia:Porsche_flat-six_engine|flat-six (boxer) layout]], meaning the cylinders are horizontally opposed. This design improves balance, reduces vibration, and lowers the center of gravity, which helps with handling.

Dry-Sump Lubrication

One of the most important features is its true dry-sump oil system. Unlike standard engines, this system prevents oil starvation during high-speed cornering, which is critical for track driving. The engine is known for “durability” and its ability to handle extreme conditions due to this design.

Racing-Based Crankcase

Another major difference is the crankcase design, which is derived from racing engines. This allows the engine to handle higher stress and higher RPMs compared to normal production engines

== What Makes the Mezger Engine Special ==

[[https://www.magnetomagazine.com/articles/whats-so-special-about-the-mezger-flat-six/]]

According to Magneto Magazine, the Mezger engine developed over decades into a high-performance machine that could produce up to 500 horsepower in its final form while maintaining extremely high engine speeds.
[[File:Porsche 911 997 GT3 RS (68893).jpg|thumb]]
What really makes it special is not just the power, but the way it delivers it. The engine is known for its sharp throttle response, high-revving nature, and unique sound. It represents a time when engineering was focused more on performance than cost or emissions. This allows the the 911 997 GT3 RS 4.0 to have a top speed of 194 mph and a 0-60 in 3.8 seconds. 

=Differences from Standard Porsche Engines=
The Mezger engine is very different from engines like the M96 and M97, which were used in regular Porsche models.They were not designed to be massproduced. 

Mezger engines use a true dry-sump system, while others use simpler designs. Mezger engines are derived from racing, while others are built for cost efficiency. Mezger engines are known for higher reliability, especially compared to issues like IMS bearing failures in other engines
[[File:Porsche 992 Turbo S 1X7A0413.jpg|thumb]]
These differences can explain why Mezger-powered cars are more desirable among collectors.

== References ==

1: Mezger, H. (1978). Turbocharging engines for racing and passenger cars. SAE Transactions, 87, 2779–2797. http://www.jstor.org/stable/44632583

2: Frankel, A., et al. (2020, June 16). The Mezger engine: Porsche legend created by a genius. Motor Sport Magazine. https://www.motorsportmagazine.com/articles/road-cars/the-mezger-engine-porsche-legend-created-by-a-genius

3: Hinsdale, P. (1972). The fabulous Porsche 917. https://www.amazon.com/Fabulous-Porsche-917-Peter-Hinsdale/dp/0877990522

4: Hughes, E. (2023, March 27). What’s so special about the Porsche Mezger flat-six engine? Magneto Magazine. https://www.magnetomagazine.com/articles/whats-so-special-about-the-mezger-flat-six/

5: Hemmings. (n.d.). Inside the Porsche “Mezger” engine in the 911 Turbo, GT3, and GT2. Hemmings. https://www.hemmings.com/stories/inside-the-porsche-mezger-engine-in-the-911-turbo-gt3-and-gt2/

{{DEFAULTSORT:}}
{{DEFAULTSORT:Mezger Porsche Turbo Engine}}
[[Category:Engineering]]

[[Category:Engineering and Technology]]
[[Category:Automotive Technology]]

{{BookCat}}

==Citations==</text>
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  <page>
    <title>Portal:Bikol</title>
    <ns>102</ns>
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        <id>3064444</id>
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      <text bytes="3824" sha1="ogg0lbuvzorpjczebz6tccdrr5brqqy" xml:space="preserve">&lt;div class=&quot;noprint&quot;&gt;&lt;!-- class=&quot;noprint&quot; makes this box disappear when printing --&gt;
{| cellpadding=&quot;1&quot; align=&quot;center&quot; style=&quot;background-color: #efefff; border: 1px solid #777777; padding: 0.5em; font-size: big; text-align: center;&quot;
|
Welcome to the '''Bikol Department''' at Wikiversity, part of the [[Portal:Foreign Language Learning|Center for Foreign Language Learning]] and the [[School:Language and Literature|School of Language and Literature]].
|}&lt;/div&gt;

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Bikol is an Austronesian language used in the Philippines particularly on the Bicol Peninsula in the island of Luzon. Standard Bikol is based on the dialect of Naga City and is spoken in a wide area stretching from Camarines Norte, most of Camarines Sur, the entire east coast of Albay (including Legazpi City and Tabaco City) and northern Sorsogon. Standard Bikol is generally understood by other Bikol speakers and is the regional lingua franca.
|}
&lt;/div&gt;

&lt;div class=&quot;noprint&quot;&gt;&lt;!-- class=&quot;noprint&quot; makes this box disappear when printing --&gt;
{| cellpadding=&quot;1&quot; align=&quot;center&quot; style=&quot;background-color: #efefff; border: 1px solid #F0F8FF; padding: 0.5em; font-size: big; text-align: center;&quot;
|
{{center|1=&lt;big&gt;'''Courses'''&lt;/big&gt;}}
* [[Southeast Asian Languages/Philippine Languages/Bikol 1|Bikol 1]] - you will learn how to greet and introduce yourself in Bikol.&lt;br&gt;
''Province focus: Albay''&lt;/br&gt;
* [[Southeast Asian Languages/Philippine Languages/Bikol 2|Bikol 2]] - get to know the alphabets and how they are pronounced in Bikol.&lt;br&gt;
''Province focus: Sorsogon''&lt;/br&gt;
* [[Southeast Asian Languages/Philippine Languages/Bikol 3|Bikol 3]] - learn how time is being said in Bikol.&lt;br&gt;''Province focus: Catanduanes''&lt;/br&gt;
* [[Southeast Asian Languages/Philippine Languages/Bikol/Lesson:Vocabulary|Vocabulary]] - this lesson will give you some useful words and phrases in Bikol.&lt;br&gt;''Province focus: Camarines Sur''&lt;/br&gt;
* [[Southeast Asian Languages/Philippine Languages/Bikol/Lesson:Grammar|Grammar]] - this lesson will answer your curiosity on how words are being joined together in Bikol.&lt;br&gt;''Province focus: Camarines Norte''&lt;/br&gt;
* [[Southeast Asian Languages/Philippine Languages/Bikol/Lesson:Quiz|Quiz]] - challenge yourself on how well you familiarize the grammar in Bikol.&lt;br&gt;''Province focus: Masbate''&lt;/br&gt;
|}&lt;/div&gt;

&lt;div style=&quot;display:block;border:1px solid #aaaaaa;vertical-align: top;width:100%; background-color:#f9f9ff; {{Text color default}};margin-bottom:10px;padding-bottom:5px;padding-left:5px;padding-right:4px;&quot;&gt;
&lt;h2 style=&quot;padding:3px; background:#aaccff; {{Text color default}}; color:#000; text-align:center; font-weight:bold; font-size:100%; margin-bottom:5px;margin-top:0;margin-left:-5px;margin-right:-4px;&quot;&gt;Division News&lt;/h2 &gt;
[[Image:Nuvola apps knewsticker.png|right|50px|]]* '''April 8, 2026 ''' - Department founded!&lt;/div&gt;

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|
{{center|1=&lt;big&gt;'''See also'''&lt;/big&gt;}}
[[Southeast Asian Languages/Philippine Languages/Bikol]]
|}&lt;/div&gt;

&lt;div style=&quot;float: right; margin: 2px;&quot;&gt;
{| class=&quot;wikitable&quot; border=&quot;1&quot;
|-
|{{center|'''Additional Wikimedia resources'''}}
|-
! style=&quot;background: #lime&quot; colspan=&quot;6&quot; | [[:b:Bikol|Textbook]] at Wikibooks
|-
! style=&quot;background: #lime&quot; colspan=&quot;6&quot; | {{w|Central Bikol|Article}} at Wikipedia
|-
! style=&quot;background: #lime&quot; colspan=&quot;6&quot; | [[:b:Wikivoyage|Bikol phrasebook]]  at Wikivoyage
|}&lt;/div&gt;

[[Category:Philippine languages]]</text>
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Welcome to the '''Bikol Department''' at Wikiversity, part of the [[Portal:Foreign Language Learning|Center for Foreign Language Learning]] and the [[School:Language and Literature|School of Language and Literature]].
|}&lt;/div&gt;

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|
Bikol is an Austronesian language used in the Philippines particularly on the Bicol Peninsula in the island of Luzon. Standard Bikol is based on the dialect of Naga City and is spoken in a wide area stretching from Camarines Norte, most of Camarines Sur, the entire east coast of Albay (including Legazpi City and Tabaco City) and northern Sorsogon. Standard Bikol is generally understood by other Bikol speakers and is the regional lingua franca.
|}
&lt;/div&gt;

&lt;div style=&quot;display:block;width:99%;float:left&quot;&gt;
&lt;div style=&quot;width:50%;display:block;float:left;&quot;&gt;
&lt;div style=&quot;display:block;border:1px solid #aaaaaa;vertical-align: top;width:100%; background-color:#f9f9ff; {{Text color default}};margin-bottom:10px;padding-bottom:5px;padding-left:5px;padding-right:4px;&quot;&gt;
&lt;h2 style=&quot;padding:3px; background:#aaccff; {{Text color default}}; color:#000; text-align:center; font-weight:bold; font-size:100%; margin-bottom:5px;margin-top:0;margin-left:-5px;margin-right:-4px;&quot;&gt;Courses and [[Portal:Learning Projects|Projects]]&lt;/h2 &gt;
[[Image:Crystal128-kanagram.svg|right|44px|]]
* [[Southeast Asian Languages/Philippine Languages/Bikol 1|Bikol 1]] - you will learn how to greet and introduce yourself in Bikol.&lt;br&gt;
''Province focus: Albay''&lt;/br&gt;
* [[Southeast Asian Languages/Philippine Languages/Bikol 2|Bikol 2]] - get to know the alphabets and how they are pronounced in Bikol.&lt;br&gt;
''Province focus: Sorsogon''&lt;/br&gt;
* [[Southeast Asian Languages/Philippine Languages/Bikol 3|Bikol 3]] - learn how time is being said in Bikol.&lt;br&gt;''Province focus: Catanduanes''&lt;/br&gt;
* [[Southeast Asian Languages/Philippine Languages/Bikol/Lesson:Vocabulary|Vocabulary]] - this lesson will give you some useful words and phrases in Bikol.&lt;br&gt;''Province focus: Camarines Sur''&lt;/br&gt;
* [[Southeast Asian Languages/Philippine Languages/Bikol/Lesson:Grammar|Grammar]] - this lesson will answer your curiosity on how words are being joined together in Bikol.&lt;br&gt;''Province focus: Camarines Norte''&lt;/br&gt;
* [[Southeast Asian Languages/Philippine Languages/Bikol/Lesson:Quiz|Quiz]] - challenge yourself on how well you familiarize the grammar in Bikol.&lt;br&gt;''Province focus: Masbate''&lt;/br&gt;&lt;/div&gt;

&lt;div style=&quot;display:block;border:1px solid #aaaaaa;vertical-align: top;width:100%; background-color:#f9f9ff; {{Text color default}};margin-bottom:10px;padding-bottom:5px;padding-left:5px;padding-right:4px;&quot;&gt;
&lt;h2 style=&quot;padding:3px; background:#aaccff; {{Text color default}}; color:#000; text-align:center; font-weight:bold; font-size:100%; margin-bottom:5px;margin-top:0;margin-left:-5px;margin-right:-4px;&quot;&gt;Division News&lt;/h2 &gt;
[[Image:Nuvola apps knewsticker.png|right|50px|]]* '''April 8, 2026 ''' - Department founded!&lt;/div&gt;

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{| cellpadding=&quot;1&quot; align=&quot;center&quot; style=&quot;background-color: #f9f9f9; border: 1px solid #aaa; padding: 0.5em; font-size: big; text-align: center;&quot;
|
{{center|1=&lt;big&gt;'''See also'''&lt;/big&gt;}}
[[Southeast Asian Languages/Philippine Languages/Bikol]]
|}&lt;/div&gt;

&lt;div style=&quot;float: right; margin: 2px;&quot;&gt;
{| class=&quot;wikitable&quot; border=&quot;1&quot;
|-
|{{center|'''Additional Wikimedia resources'''}}
|-
! style=&quot;background: #lime&quot; colspan=&quot;6&quot; | [[:b:Bikol|Textbook]] at Wikibooks
|-
! style=&quot;background: #lime&quot; colspan=&quot;6&quot; | {{w|Central Bikol|Article}} at Wikipedia
|-
! style=&quot;background: #lime&quot; colspan=&quot;6&quot; | [[:b:Wikivoyage|Bikol phrasebook]]  at Wikivoyage
|}&lt;/div&gt;

[[Category:Philippine languages]]</text>
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      <timestamp>2026-04-09T13:30:24Z</timestamp>
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|
Welcome to the '''Bikol Department''' at Wikiversity, part of the [[Portal:Foreign Language Learning|Center for Foreign Language Learning]] and the [[School:Language and Literature|School of Language and Literature]].
|}&lt;/div&gt;

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|
Bikol is an Austronesian language used in the Philippines particularly on the Bicol Peninsula in the island of Luzon. Standard Bikol is based on the dialect of Naga City and is spoken in a wide area stretching from Camarines Norte, most of Camarines Sur, the entire east coast of Albay (including Legazpi City and Tabaco City) and northern Sorsogon. Standard Bikol is generally understood by other Bikol speakers and is the regional lingua franca.
|}
&lt;/div&gt;

&lt;div style=&quot;display:block;width:99%;float:left&quot;&gt;
&lt;div style=&quot;width:50%;display:block;float:left;&quot;&gt;
&lt;div style=&quot;display:block;border:1px solid #aaaaaa;vertical-align: top;width:100%; background-color:#f9f9ff; {{Text color default}};margin-bottom:10px;padding-bottom:5px;padding-left:5px;padding-right:4px;&quot;&gt;
&lt;h2 style=&quot;padding:3px; background:#aaccff; {{Text color default}}; color:#000; text-align:center; font-weight:bold; font-size:100%; margin-bottom:5px;margin-top:0;margin-left:-5px;margin-right:-4px;&quot;&gt;Courses&lt;/h2 &gt;
[[Image:Crystal128-kanagram.svg|right|44px|]]
* [[Southeast Asian Languages/Philippine Languages/Bikol 1|Bikol 1]] - you will learn how to greet and introduce yourself in Bikol.&lt;br&gt;
''Province focus: Albay''&lt;/br&gt;
* [[Southeast Asian Languages/Philippine Languages/Bikol 2|Bikol 2]] - get to know the alphabets and how they are pronounced in Bikol.&lt;br&gt;
''Province focus: Sorsogon''&lt;/br&gt;
* [[Southeast Asian Languages/Philippine Languages/Bikol 3|Bikol 3]] - learn how time is being said in Bikol.&lt;br&gt;''Province focus: Catanduanes''&lt;/br&gt;
* [[Southeast Asian Languages/Philippine Languages/Bikol/Lesson:Vocabulary|Vocabulary]] - this lesson will give you some useful words and phrases in Bikol.&lt;br&gt;''Province focus: Camarines Sur''&lt;/br&gt;
* [[Southeast Asian Languages/Philippine Languages/Bikol/Lesson:Grammar|Grammar]] - this lesson will answer your curiosity on how words are being joined together in Bikol.&lt;br&gt;''Province focus: Camarines Norte''&lt;/br&gt;
* [[Southeast Asian Languages/Philippine Languages/Bikol/Lesson:Quiz|Quiz]] - challenge yourself on how well you familiarize the grammar in Bikol.&lt;br&gt;''Province focus: Masbate''&lt;/br&gt;&lt;/div&gt;

&lt;div style=&quot;display:block;border:1px solid #aaaaaa;vertical-align: top;width:100%; background-color:#f9f9ff; {{Text color default}};margin-bottom:10px;padding-bottom:5px;padding-left:5px;padding-right:4px;&quot;&gt;
&lt;h2 style=&quot;padding:3px; background:#aaccff; {{Text color default}}; color:#000; text-align:center; font-weight:bold; font-size:100%; margin-bottom:5px;margin-top:0;margin-left:-5px;margin-right:-4px;&quot;&gt;Division News&lt;/h2 &gt;
[[Image:Nuvola apps knewsticker.png|right|50px|]]* '''April 8, 2026 ''' - Department founded!&lt;/div&gt;

&lt;div class=&quot;noprint&quot;&gt;&lt;!-- class=&quot;noprint&quot; makes this box disappear when printing --&gt;
{| cellpadding=&quot;1&quot; align=&quot;center&quot; style=&quot;background-color: #f9f9f9; border: 1px solid #aaa; padding: 0.5em; font-size: big; text-align: center;&quot;
|
{{center|1=&lt;big&gt;'''See also'''&lt;/big&gt;}}
[[Southeast Asian Languages/Philippine Languages/Bikol]]
|}&lt;/div&gt;

&lt;div style=&quot;float: right; margin: 2px;&quot;&gt;
{| class=&quot;wikitable&quot; border=&quot;1&quot;
|-
|{{center|'''Additional Wikimedia resources'''}}
|-
! style=&quot;background: #lime&quot; colspan=&quot;6&quot; | [[:b:Bikol|Textbook]] at Wikibooks
|-
! style=&quot;background: #lime&quot; colspan=&quot;6&quot; | {{w|Central Bikol|Article}} at Wikipedia
|-
! style=&quot;background: #lime&quot; colspan=&quot;6&quot; | [[:b:Wikivoyage|Bikol phrasebook]]  at Wikivoyage
|}&lt;/div&gt;

[[Category:Philippine languages]]</text>
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      <timestamp>2026-04-09T13:33:40Z</timestamp>
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|
Welcome to the '''Bikol Department''' at Wikiversity, part of the [[Portal:Foreign Language Learning|Center for Foreign Language Learning]] and the [[School:Language and Literature|School of Language and Literature]].
|}&lt;/div&gt;

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|
Bikol is an Austronesian language used in the Philippines particularly on the Bicol Peninsula in the island of Luzon. Standard Bikol is based on the dialect of Naga City and is spoken in a wide area stretching from Camarines Norte, most of Camarines Sur, the entire east coast of Albay (including Legazpi City and Tabaco City) and northern Sorsogon. Standard Bikol is generally understood by other Bikol speakers and is the regional lingua franca.
|}
&lt;/div&gt;

&lt;div style=&quot;display:block;width:99%;float:left&quot;&gt;
&lt;div style=&quot;width:50%;display:block;float:left;&quot;&gt;

&lt;div style=&quot;display:block;border:1px solid #aaaaaa;vertical-align: top;width:100%; background-color:#f9f9ff; {{Text color default}};margin-bottom:10px;padding-bottom:5px;padding-left:5px;padding-right:4px;&quot;&gt;
&lt;h2 style=&quot;padding:3px; background:#aaccff; {{Text color default}}; color:#000; text-align:center; font-weight:bold; font-size:100%; margin-bottom:5px;margin-top:0;margin-left:-5px;margin-right:-4px;&quot;&gt;Courses&lt;/h2 &gt;
[[Image:Crystal128-kanagram.svg|right|44px|]]
* [[Southeast Asian Languages/Philippine Languages/Bikol 1|Bikol 1]] - you will learn how to greet and introduce yourself in Bikol.&lt;br&gt;
''Province focus: Albay''&lt;/br&gt;
* [[Southeast Asian Languages/Philippine Languages/Bikol 2|Bikol 2]] - get to know the alphabets and how they are pronounced in Bikol.&lt;br&gt;
''Province focus: Sorsogon''&lt;/br&gt;
* [[Southeast Asian Languages/Philippine Languages/Bikol 3|Bikol 3]] - learn how time is being said in Bikol.&lt;br&gt;''Province focus: Catanduanes''&lt;/br&gt;
* [[Southeast Asian Languages/Philippine Languages/Bikol/Lesson:Vocabulary|Vocabulary]] - this lesson will give you some useful words and phrases in Bikol.&lt;br&gt;''Province focus: Camarines Sur''&lt;/br&gt;
* [[Southeast Asian Languages/Philippine Languages/Bikol/Lesson:Grammar|Grammar]] - this lesson will answer your curiosity on how words are being joined together in Bikol.&lt;br&gt;''Province focus: Camarines Norte''&lt;/br&gt;
* [[Southeast Asian Languages/Philippine Languages/Bikol/Lesson:Quiz|Quiz]] - challenge yourself on how well you familiarize the grammar in Bikol.&lt;br&gt;''Province focus: Masbate''&lt;/br&gt;&lt;/div&gt;

&lt;div style=&quot;display:block;width:99%;float:left&quot;&gt;
&lt;div style=&quot;width:50%;display:block;float:left;&quot;&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;

&lt;div style=&quot;display:block;border:1px solid #aaaaaa;vertical-align: top;width:100%; background-color:#f9f9ff; {{Text color default}};margin-bottom:10px;padding-bottom:5px;padding-left:5px;padding-right:4px;&quot;&gt;
&lt;h2 style=&quot;padding:3px; background:#aaccff; {{Text color default}}; color:#000; text-align:center; font-weight:bold; font-size:100%; margin-bottom:5px;margin-top:0;margin-left:-5px;margin-right:-4px;&quot;&gt;Division News&lt;/h2 &gt;
[[Image:Nuvola apps knewsticker.png|right|50px|]]* '''April 8, 2026 ''' - Department founded!&lt;/div&gt;

&lt;div class=&quot;noprint&quot;&gt;&lt;!-- class=&quot;noprint&quot; makes this box disappear when printing --&gt;
{| cellpadding=&quot;1&quot; align=&quot;center&quot; style=&quot;background-color: #f9f9f9; border: 1px solid #aaa; padding: 0.5em; font-size: big; text-align: center;&quot;
|
{{center|1=&lt;big&gt;'''See also'''&lt;/big&gt;}}
[[Southeast Asian Languages/Philippine Languages/Bikol]]
|}&lt;/div&gt;

&lt;div style=&quot;float: right; margin: 2px;&quot;&gt;
{| class=&quot;wikitable&quot; border=&quot;1&quot;
|-
|{{center|'''Additional Wikimedia resources'''}}
|-
! style=&quot;background: #lime&quot; colspan=&quot;6&quot; | [[:b:Bikol|Textbook]] at Wikibooks
|-
! style=&quot;background: #lime&quot; colspan=&quot;6&quot; | {{w|Central Bikol|Article}} at Wikipedia
|-
! style=&quot;background: #lime&quot; colspan=&quot;6&quot; | [[:b:Wikivoyage|Bikol phrasebook]]  at Wikivoyage
|}&lt;/div&gt;

[[Category:Philippine languages]]</text>
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      <timestamp>2026-04-09T13:36:18Z</timestamp>
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|
Welcome to the '''Bikol Department''' at Wikiversity, part of the [[Portal:Foreign Language Learning|Center for Foreign Language Learning]] and the [[School:Language and Literature|School of Language and Literature]].
|}&lt;/div&gt;

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{| cellpadding=&quot;1&quot; align=&quot;center&quot; style=&quot;background-color: #fffff0; border: 1px solid #FFBF00; padding: 0.5em; font-size: big; text-align: center;&quot;
|
Bikol is an Austronesian language used in the Philippines particularly on the Bicol Peninsula in the island of Luzon. Standard Bikol is based on the dialect of Naga City and is spoken in a wide area stretching from Camarines Norte, most of Camarines Sur, the entire east coast of Albay (including Legazpi City and Tabaco City) and northern Sorsogon. Standard Bikol is generally understood by other Bikol speakers and is the regional lingua franca.
|}
&lt;/div&gt;

&lt;div style=&quot;display:block;width:99%;float:left&quot;&gt;
&lt;div style=&quot;width:50%;display:block;float:left;&quot;&gt;
&lt;div style=&quot;display:block;border:1px solid #aaaaaa;vertical-align: top;width:100%; background-color:#f9f9ff; {{Text color default}};margin-bottom:10px;padding-bottom:5px;padding-left:5px;padding-right:4px;&quot;&gt;
&lt;h2 style=&quot;padding:3px; background:#aaccff; {{Text color default}}; color:#000; text-align:center; font-weight:bold; font-size:100%; margin-bottom:5px;margin-top:0;margin-left:-5px;margin-right:-4px;&quot;&gt;Courses&lt;/h2 &gt;
[[Image:Crystal128-kanagram.svg|right|44px|]]
* [[Southeast Asian Languages/Philippine Languages/Bikol 1|Bikol 1]] - you will learn how to greet and introduce yourself in Bikol.&lt;br&gt;
''Province focus: Albay''&lt;/br&gt;
* [[Southeast Asian Languages/Philippine Languages/Bikol 2|Bikol 2]] - get to know the alphabets and how they are pronounced in Bikol.&lt;br&gt;
''Province focus: Sorsogon''&lt;/br&gt;
* [[Southeast Asian Languages/Philippine Languages/Bikol 3|Bikol 3]] - learn how time is being said in Bikol.&lt;br&gt;''Province focus: Catanduanes''&lt;/br&gt;
* [[Southeast Asian Languages/Philippine Languages/Bikol/Lesson:Vocabulary|Vocabulary]] - this lesson will give you some useful words and phrases in Bikol.&lt;br&gt;''Province focus: Camarines Sur''&lt;/br&gt;
* [[Southeast Asian Languages/Philippine Languages/Bikol/Lesson:Grammar|Grammar]] - this lesson will answer your curiosity on how words are being joined together in Bikol.&lt;br&gt;''Province focus: Camarines Norte''&lt;/br&gt;
* [[Southeast Asian Languages/Philippine Languages/Bikol/Lesson:Quiz|Quiz]] - challenge yourself on how well you familiarize the grammar in Bikol.&lt;br&gt;''Province focus: Masbate''&lt;/br&gt;&lt;/div&gt;

&lt;div style=&quot;display:block;width:99%;float:left&quot;&gt;
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&lt;/div&gt;
&lt;/div&gt;
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&lt;div style=&quot;display:block;border:1px solid #aaaaaa;vertical-align: top;width:100%; background-color:#f9f9ff; {{Text color default}};margin-bottom:10px;padding-bottom:5px;padding-left:5px;padding-right:4px;&quot;&gt;
&lt;h2 style=&quot;padding:3px; background:#aaccff; {{Text color default}}; color:#000; text-align:center; font-weight:bold; font-size:100%; margin-bottom:5px;margin-top:0;margin-left:-5px;margin-right:-4px;&quot;&gt;Division News&lt;/h2 &gt;
[[Image:Nuvola apps knewsticker.png|right|50px|]]* '''April 8, 2026 ''' - Department founded!&lt;/div&gt;

&lt;/div&gt;
&lt;/div&gt;
&lt;div style=&quot;width:47%;display:block;float:right;&quot;&gt;
&lt;div class=&quot;noprint&quot;&gt;&lt;!-- class=&quot;noprint&quot; makes this box disappear when printing --&gt;
{| cellpadding=&quot;1&quot; align=&quot;center&quot; style=&quot;background-color: #f9f9f9; border: 1px solid #aaa; padding: 0.5em; font-size: big; text-align: center;&quot;
|
{{center|1=&lt;big&gt;'''See also'''&lt;/big&gt;}}
[[Southeast Asian Languages/Philippine Languages/Bikol]]
|}&lt;/div&gt;

&lt;div style=&quot;float: right; margin: 2px;&quot;&gt;
{| class=&quot;wikitable&quot; border=&quot;1&quot;
|-
|{{center|'''Additional Wikimedia resources'''}}
|-
! style=&quot;background: #lime&quot; colspan=&quot;6&quot; | [[:b:Bikol|Textbook]] at Wikibooks
|-
! style=&quot;background: #lime&quot; colspan=&quot;6&quot; | {{w|Central Bikol|Article}} at Wikipedia
|-
! style=&quot;background: #lime&quot; colspan=&quot;6&quot; | [[:b:Wikivoyage|Bikol phrasebook]]  at Wikivoyage
|}&lt;/div&gt;

[[Category:Philippine languages]]</text>
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    <revision>
      <id>2803924</id>
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      <text bytes="4556" sha1="8n1525ezlf46shs462rolly9vilhioo" xml:space="preserve">&lt;div style=&quot;display:block;border:1px solid #aaaaaa;vertical-align: top;width:99%; background-color:#f9f9ff; {{Text color default}};margin-bottom:10px;margin-top:5px;padding-left:5px;padding-right:4px;&quot;&gt;
&lt;h2 style=&quot;padding:3px; background:#aaccff; {{Text color default}}; color:#000; text-align:center; font-weight:bold; font-size:100%; margin-bottom:5px;margin-top:0;margin-left:-5px;margin-right:-4px;&quot;&gt;Philippine Languages Division&lt;/h2 &gt;
[[Image:Globe of letters.svg|right|88px|Languages]]
Welcome to the '''Bikol Department''' at Wikiversity, part of the [[Portal:Foreign Language Learning|Center for Foreign Language Learning]] and the [[School:Language and Literature|School of Language and Literature]].&lt;/div&gt;

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{| cellpadding=&quot;1&quot; align=&quot;center&quot; style=&quot;background-color: #fffff0; border: 1px solid #FFBF00; padding: 0.5em; font-size: big; text-align: center;&quot;
|
Bikol is an Austronesian language used in the Philippines particularly on the Bicol Peninsula in the island of Luzon. Standard Bikol is based on the dialect of Naga City and is spoken in a wide area stretching from Camarines Norte, most of Camarines Sur, the entire east coast of Albay (including Legazpi City and Tabaco City) and northern Sorsogon. Standard Bikol is generally understood by other Bikol speakers and is the regional lingua franca.
|}
&lt;/div&gt;

&lt;div style=&quot;display:block;width:99%;float:left&quot;&gt;
&lt;div style=&quot;width:50%;display:block;float:left;&quot;&gt;
&lt;div style=&quot;display:block;border:1px solid #aaaaaa;vertical-align: top;width:100%; background-color:#f9f9ff; {{Text color default}};margin-bottom:10px;padding-bottom:5px;padding-left:5px;padding-right:4px;&quot;&gt;
&lt;h2 style=&quot;padding:3px; background:#aaccff; {{Text color default}}; color:#000; text-align:center; font-weight:bold; font-size:100%; margin-bottom:5px;margin-top:0;margin-left:-5px;margin-right:-4px;&quot;&gt;Courses&lt;/h2 &gt;
[[Image:Crystal128-kanagram.svg|right|44px|]]
* [[Southeast Asian Languages/Philippine Languages/Bikol 1|Bikol 1]] - you will learn how to greet and introduce yourself in Bikol.&lt;br&gt;
''Province focus: Albay''&lt;/br&gt;
* [[Southeast Asian Languages/Philippine Languages/Bikol 2|Bikol 2]] - get to know the alphabets and how they are pronounced in Bikol.&lt;br&gt;
''Province focus: Sorsogon''&lt;/br&gt;
* [[Southeast Asian Languages/Philippine Languages/Bikol 3|Bikol 3]] - learn how time is being said in Bikol.&lt;br&gt;''Province focus: Catanduanes''&lt;/br&gt;
* [[Southeast Asian Languages/Philippine Languages/Bikol/Lesson:Vocabulary|Vocabulary]] - this lesson will give you some useful words and phrases in Bikol.&lt;br&gt;''Province focus: Camarines Sur''&lt;/br&gt;
* [[Southeast Asian Languages/Philippine Languages/Bikol/Lesson:Grammar|Grammar]] - this lesson will answer your curiosity on how words are being joined together in Bikol.&lt;br&gt;''Province focus: Camarines Norte''&lt;/br&gt;
* [[Southeast Asian Languages/Philippine Languages/Bikol/Lesson:Quiz|Quiz]] - challenge yourself on how well you familiarize the grammar in Bikol.&lt;br&gt;''Province focus: Masbate''&lt;/br&gt;&lt;/div&gt;

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&lt;/div&gt;

&lt;div style=&quot;display:block;border:1px solid #aaaaaa;vertical-align: top;width:100%; background-color:#f9f9ff; {{Text color default}};margin-bottom:10px;padding-bottom:5px;padding-left:5px;padding-right:4px;&quot;&gt;
&lt;h2 style=&quot;padding:3px; background:#aaccff; {{Text color default}}; color:#000; text-align:center; font-weight:bold; font-size:100%; margin-bottom:5px;margin-top:0;margin-left:-5px;margin-right:-4px;&quot;&gt;Division News&lt;/h2 &gt;
[[Image:Nuvola apps knewsticker.png|right|50px|]]* '''April 8, 2026 ''' - Department founded!&lt;/div&gt;

&lt;/div&gt;
&lt;/div&gt;
&lt;div style=&quot;width:47%;display:block;float:right;&quot;&gt;
&lt;div class=&quot;noprint&quot;&gt;&lt;!-- class=&quot;noprint&quot; makes this box disappear when printing --&gt;
{| cellpadding=&quot;1&quot; align=&quot;center&quot; style=&quot;background-color: #f9f9f9; border: 1px solid #aaa; padding: 0.5em; font-size: big; text-align: center;&quot;
|
{{center|1=&lt;big&gt;'''See also'''&lt;/big&gt;}}
[[Southeast Asian Languages/Philippine Languages/Bikol]]
|}&lt;/div&gt;

&lt;div style=&quot;float: right; margin: 2px;&quot;&gt;
{| class=&quot;wikitable&quot; border=&quot;1&quot;
|-
|{{center|'''Additional Wikimedia resources'''}}
|-
! style=&quot;background: #lime&quot; colspan=&quot;6&quot; | [[:b:Bikol|Textbook]] at Wikibooks
|-
! style=&quot;background: #lime&quot; colspan=&quot;6&quot; | {{w|Central Bikol|Article}} at Wikipedia
|-
! style=&quot;background: #lime&quot; colspan=&quot;6&quot; | [[:b:Wikivoyage|Bikol phrasebook]]  at Wikivoyage
|}&lt;/div&gt;

[[Category:Philippine languages]]</text>
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    </revision>
    <revision>
      <id>2803925</id>
      <parentid>2803924</parentid>
      <timestamp>2026-04-09T13:44:47Z</timestamp>
      <contributor>
        <username>CarlessParking</username>
        <id>3064444</id>
      </contributor>
      <origin>2803925</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="4555" sha1="k5iwvfatp9niwz9wdb6bhnmvzshwmqp" xml:space="preserve">&lt;div style=&quot;display:block;border:1px solid #aaaaaa;vertical-align: top;width:99%; background-color:#f9f9ff; {{Text color default}};margin-bottom:10px;margin-top:5px;padding-left:5px;padding-right:4px;&quot;&gt;
&lt;h2 style=&quot;padding:3px; background:#aaccff; {{Text color default}}; color:#000; text-align:center; font-weight:bold; font-size:100%; margin-bottom:5px;margin-top:0;margin-left:-5px;margin-right:-4px;&quot;&gt;Philippine Languages Division&lt;/h2 &gt;
[[Image:Globe of letters.svg|right|88px|Languages]]
Welcome to the '''Bikol Department''' at Wikiversity, part of the [[Portal:Foreign Language Learning|Center for Foreign Language Learning]] and the [[School:Language and Literature|School of Language and Literature]].&lt;/div&gt;

&lt;div class=&quot;noprint&quot;&gt;&lt;!-- class=&quot;noprint&quot; makes this box disappear when printing --&gt;
{| cellpadding=&quot;1&quot; align=&quot;center&quot; style=&quot;background-color: #fffff0; border: 1px solid #FFBF00; padding: 0.5em; font-size: big; text-align: center;&quot;
|
Bikol is an Austronesian language used in the Philippines particularly on the Bicol Peninsula in the island of Luzon. Standard Bikol is based on the dialect of Naga City and is spoken in a wide area stretching from Camarines Norte, most of Camarines Sur, the entire east coast of Albay (including Legazpi City and Tabaco City) and northern Sorsogon. Standard Bikol is generally understood by other Bikol speakers and is the regional lingua franca.
|}
&lt;/div&gt;

&lt;div style=&quot;display:block;width:99%;float:left&quot;&gt;
&lt;div style=&quot;width:50%;display:block;float:left;&quot;&gt;
&lt;div style=&quot;display:block;border:1px solid #aaaaaa;vertical-align: top;width:100%; background-color:#f9f9ff; {{Text color default}};margin-bottom:10px;padding-bottom:5px;padding-left:5px;padding-right:4px;&quot;&gt;
&lt;h2 style=&quot;padding:3px; background:#aaccff; {{Text color default}}; color:#000; text-align:center; font-weight:bold; font-size:100%; margin-bottom:5px;margin-top:0;margin-left:-5px;margin-right:-4px;&quot;&gt;Courses&lt;/h2 &gt;
[[Image:Crystal128-kanagram.svg|right|44px|]]
* [[Southeast Asian Languages/Philippine Languages/Bikol 1|Bikol 1]] - you will learn how to greet and introduce yourself in Bikol.&lt;br&gt;
''Province focus: Albay''&lt;/br&gt;
* [[Southeast Asian Languages/Philippine Languages/Bikol 2|Bikol 2]] - get to know the alphabets and how they are pronounced in Bikol.&lt;br&gt;
''Province focus: Sorsogon''&lt;/br&gt;
* [[Southeast Asian Languages/Philippine Languages/Bikol 3|Bikol 3]] - learn how time is being said in Bikol.&lt;br&gt;''Province focus: Catanduanes''&lt;/br&gt;
* [[Southeast Asian Languages/Philippine Languages/Bikol/Lesson:Vocabulary|Vocabulary]] - this lesson will give you some useful words and phrases in Bikol.&lt;br&gt;''Province focus: Camarines Sur''&lt;/br&gt;
* [[Southeast Asian Languages/Philippine Languages/Bikol/Lesson:Grammar|Grammar]] - this lesson will answer your curiosity on how words are being joined together in Bikol.&lt;br&gt;''Province focus: Camarines Norte''&lt;/br&gt;
* [[Southeast Asian Languages/Philippine Languages/Bikol/Lesson:Quiz|Quiz]] - challenge yourself on how well you familiarize the grammar in Bikol.&lt;br&gt;''Province focus: Masbate''&lt;/br&gt;&lt;/div&gt;

&lt;div style=&quot;display:block;width:99%;float:left&quot;&gt;
&lt;div style=&quot;width:50%;display:block;float:left;&quot;&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;div style=&quot;display:block;border:1px solid #aaaaaa;vertical-align: top;width:100%; background-color:#f9f9ff; {{Text color default}};margin-bottom:10px;padding-bottom:5px;padding-left:5px;padding-right:4px;&quot;&gt;
&lt;h2 style=&quot;padding:3px; background:#aaccff; {{Text color default}}; color:#000; text-align:center; font-weight:bold; font-size:100%; margin-bottom:5px;margin-top:0;margin-left:-5px;margin-right:-4px;&quot;&gt;Division News&lt;/h2 &gt;
[[Image:Nuvola apps knewsticker.png|right|50px|]]* '''April 8, 2026 ''' - Department founded!&lt;/div&gt;

&lt;/div&gt;
&lt;/div&gt;
&lt;div style=&quot;width:47%;display:block;float:right;&quot;&gt;
&lt;div class=&quot;noprint&quot;&gt;&lt;!-- class=&quot;noprint&quot; makes this box disappear when printing --&gt;
{| cellpadding=&quot;1&quot; align=&quot;center&quot; style=&quot;background-color: #f9f9f9; border: 1px solid #aaa; padding: 0.5em; font-size: big; text-align: center;&quot;
|
{{center|1=&lt;big&gt;'''See also'''&lt;/big&gt;}}
[[Southeast Asian Languages/Philippine Languages/Bikol]]
|}&lt;/div&gt;

&lt;div style=&quot;float: right; margin: 2px;&quot;&gt;
{| class=&quot;wikitable&quot; border=&quot;1&quot;
|-
|{{center|'''Additional Wikimedia resources'''}}
|-
! style=&quot;background: #lime&quot; colspan=&quot;6&quot; | [[:b:Bikol|Textbook]] at Wikibooks
|-
! style=&quot;background: #lime&quot; colspan=&quot;6&quot; | {{w|Central Bikol|Article}} at Wikipedia
|-
! style=&quot;background: #lime&quot; colspan=&quot;6&quot; | [[:b:Wikivoyage|Bikol phrasebook]]  at Wikivoyage
|}&lt;/div&gt;

[[Category:Philippine languages]]</text>
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    <revision>
      <id>2803926</id>
      <parentid>2803925</parentid>
      <timestamp>2026-04-09T13:48:57Z</timestamp>
      <contributor>
        <username>CarlessParking</username>
        <id>3064444</id>
      </contributor>
      <origin>2803926</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="4365" sha1="cks68t953hslnj6zsper8sescquhf9o" xml:space="preserve">&lt;div style=&quot;display:block;border:1px solid #aaaaaa;vertical-align: top;width:99%; background-color:#f9f9ff; {{Text color default}};margin-bottom:10px;margin-top:5px;padding-left:5px;padding-right:4px;&quot;&gt;
&lt;h2 style=&quot;padding:3px; background:#aaccff; {{Text color default}}; color:#000; text-align:center; font-weight:bold; font-size:100%; margin-bottom:5px;margin-top:0;margin-left:-5px;margin-right:-4px;&quot;&gt;Philippine Languages Division&lt;/h2 &gt;
[[Image:Globe of letters.svg|right|88px|Languages]]
Welcome to the '''Bikol Department''' at Wikiversity, part of the [[Portal:Foreign Language Learning|Center for Foreign Language Learning]] and the [[School:Language and Literature|School of Language and Literature]].

Bikol is an Austronesian language spoken in the Philippines particularly on the Bicol Peninsula in the island of Luzon. Standard Bikol is based on the dialect of Naga City and is spoken in a wide area stretching from Camarines Norte, most of Camarines Sur, the entire east coast of Albay (including Legazpi City and Tabaco City) and northern Sorsogon. Standard Bikol is generally understood by other Bikol speakers and is the regional lingua franca.
&lt;/div&gt;

&lt;div style=&quot;display:block;width:99%;float:left&quot;&gt;
&lt;div style=&quot;width:50%;display:block;float:left;&quot;&gt;
&lt;div style=&quot;display:block;border:1px solid #aaaaaa;vertical-align: top;width:100%; background-color:#f9f9ff; {{Text color default}};margin-bottom:10px;padding-bottom:5px;padding-left:5px;padding-right:4px;&quot;&gt;
&lt;h2 style=&quot;padding:3px; background:#aaccff; {{Text color default}}; color:#000; text-align:center; font-weight:bold; font-size:100%; margin-bottom:5px;margin-top:0;margin-left:-5px;margin-right:-4px;&quot;&gt;Courses&lt;/h2 &gt;
[[Image:Crystal128-kanagram.svg|right|44px|]]
* [[Southeast Asian Languages/Philippine Languages/Bikol 1|Bikol 1]] - you will learn how to greet and introduce yourself in Bikol.&lt;br&gt;
''Province focus: Albay''&lt;/br&gt;
* [[Southeast Asian Languages/Philippine Languages/Bikol 2|Bikol 2]] - get to know the alphabets and how they are pronounced in Bikol.&lt;br&gt;
''Province focus: Sorsogon''&lt;/br&gt;
* [[Southeast Asian Languages/Philippine Languages/Bikol 3|Bikol 3]] - learn how time is being said in Bikol.&lt;br&gt;''Province focus: Catanduanes''&lt;/br&gt;
* [[Southeast Asian Languages/Philippine Languages/Bikol/Lesson:Vocabulary|Vocabulary]] - this lesson will give you some useful words and phrases in Bikol.&lt;br&gt;''Province focus: Camarines Sur''&lt;/br&gt;
* [[Southeast Asian Languages/Philippine Languages/Bikol/Lesson:Grammar|Grammar]] - this lesson will answer your curiosity on how words are being joined together in Bikol.&lt;br&gt;''Province focus: Camarines Norte''&lt;/br&gt;
* [[Southeast Asian Languages/Philippine Languages/Bikol/Lesson:Quiz|Quiz]] - challenge yourself on how well you familiarize the grammar in Bikol.&lt;br&gt;''Province focus: Masbate''&lt;/br&gt;&lt;/div&gt;

&lt;div style=&quot;display:block;width:99%;float:left&quot;&gt;
&lt;div style=&quot;width:50%;display:block;float:left;&quot;&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;div style=&quot;display:block;border:1px solid #aaaaaa;vertical-align: top;width:100%; background-color:#f9f9ff; {{Text color default}};margin-bottom:10px;padding-bottom:5px;padding-left:5px;padding-right:4px;&quot;&gt;
&lt;h2 style=&quot;padding:3px; background:#aaccff; {{Text color default}}; color:#000; text-align:center; font-weight:bold; font-size:100%; margin-bottom:5px;margin-top:0;margin-left:-5px;margin-right:-4px;&quot;&gt;Division News&lt;/h2 &gt;
[[Image:Nuvola apps knewsticker.png|right|50px|]]* '''April 8, 2026 ''' - Department founded!&lt;/div&gt;

&lt;/div&gt;
&lt;/div&gt;
&lt;div style=&quot;width:47%;display:block;float:right;&quot;&gt;
&lt;div class=&quot;noprint&quot;&gt;&lt;!-- class=&quot;noprint&quot; makes this box disappear when printing --&gt;
{| cellpadding=&quot;1&quot; align=&quot;center&quot; style=&quot;background-color: #f9f9f9; border: 1px solid #aaa; padding: 0.5em; font-size: big; text-align: center;&quot;
|
{{center|1=&lt;big&gt;'''See also'''&lt;/big&gt;}}
[[Southeast Asian Languages/Philippine Languages/Bikol]]
|}&lt;/div&gt;

&lt;div style=&quot;float: right; margin: 2px;&quot;&gt;
{| class=&quot;wikitable&quot; border=&quot;1&quot;
|-
|{{center|'''Additional Wikimedia resources'''}}
|-
! style=&quot;background: #lime&quot; colspan=&quot;6&quot; | [[:b:Bikol|Textbook]] at Wikibooks
|-
! style=&quot;background: #lime&quot; colspan=&quot;6&quot; | {{w|Central Bikol|Article}} at Wikipedia
|-
! style=&quot;background: #lime&quot; colspan=&quot;6&quot; | [[:b:Wikivoyage|Bikol phrasebook]]  at Wikivoyage
|}&lt;/div&gt;


&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;

__NOEDITSECTION__
__NOTOC__

[[Category:Philippine languages]]</text>
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    <revision>
      <id>2803927</id>
      <parentid>2803926</parentid>
      <timestamp>2026-04-09T13:56:36Z</timestamp>
      <contributor>
        <username>CarlessParking</username>
        <id>3064444</id>
      </contributor>
      <origin>2803927</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="4310" sha1="deg4hw3e00eye6zhe498nvukyt9nuhc" xml:space="preserve">&lt;div style=&quot;display:block;border:1px solid #aaaaaa;vertical-align: top;width:99%; background-color:#f9f9ff; {{Text color default}};margin-bottom:10px;margin-top:5px;padding-left:5px;padding-right:4px;&quot;&gt;
&lt;h2 style=&quot;padding:3px; background:#aaccff; {{Text color default}}; color:#000; text-align:center; font-weight:bold; font-size:100%; margin-bottom:5px;margin-top:0;margin-left:-5px;margin-right:-4px;&quot;&gt;Philippine Languages Division&lt;/h2 &gt;
[[Image:Globe of letters.svg|right|88px|Languages]]
Welcome to the '''Bikol Department''' at Wikiversity, part of the [[Portal:Foreign Language Learning|Center for Foreign Language Learning]] and the [[School:Language and Literature|School of Language and Literature]].

Bikol is an Austronesian language spoken in the Philippines particularly on the Bicol Peninsula in the island of Luzon. Standard Bikol is based on the dialect of Naga City and is spoken in a wide area stretching from Camarines Norte, most of Camarines Sur, the entire east coast of Albay (including Legazpi City and Tabaco City) and northern Sorsogon. Standard Bikol is generally understood by other Bikol speakers and is the regional lingua franca.
&lt;/div&gt;

&lt;div style=&quot;display:block;width:99%;float:left&quot;&gt;
&lt;div style=&quot;width:50%;display:block;float:left;&quot;&gt;
&lt;div style=&quot;display:block;border:1px solid #aaaaaa;vertical-align: top;width:100%; background-color:#f9f9ff; {{Text color default}};margin-bottom:10px;padding-bottom:5px;padding-left:5px;padding-right:4px;&quot;&gt;
&lt;h2 style=&quot;padding:3px; background:#aaccff; {{Text color default}}; color:#000; text-align:center; font-weight:bold; font-size:100%; margin-bottom:5px;margin-top:0;margin-left:-5px;margin-right:-4px;&quot;&gt;Courses&lt;/h2 &gt;
[[Image:Crystal128-kanagram.svg|right|44px|]]
* [[Southeast Asian Languages/Philippine Languages/Bikol 1|Bikol 1]] - you will learn how to greet and introduce yourself in Bikol.&lt;br&gt;
''Province focus: Albay''&lt;/br&gt;
* [[Southeast Asian Languages/Philippine Languages/Bikol 2|Bikol 2]] - get to know the alphabets and how they are pronounced in Bikol.&lt;br&gt;
''Province focus: Sorsogon''&lt;/br&gt;
* [[Southeast Asian Languages/Philippine Languages/Bikol 3|Bikol 3]] - learn how time is being said in Bikol.&lt;br&gt;''Province focus: Catanduanes''&lt;/br&gt;
* [[Southeast Asian Languages/Philippine Languages/Bikol/Lesson:Vocabulary|Vocabulary]] - this lesson will give you some useful words and phrases in Bikol.&lt;br&gt;''Province focus: Camarines Sur''&lt;/br&gt;
* [[Southeast Asian Languages/Philippine Languages/Bikol/Lesson:Grammar|Grammar]] - this lesson will answer your curiosity on how words are being joined together in Bikol.&lt;br&gt;''Province focus: Camarines Norte''&lt;/br&gt;
* [[Southeast Asian Languages/Philippine Languages/Bikol/Lesson:Quiz|Quiz]] - challenge yourself on how well you familiarize the grammar in Bikol.&lt;br&gt;''Province focus: Masbate''&lt;/br&gt;&lt;/div&gt;

&lt;div style=&quot;display:block;width:99%;float:left&quot;&gt;
&lt;div style=&quot;width:50%;display:block;float:left;&quot;&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;div style=&quot;display:block;border:1px solid #aaaaaa;vertical-align: top;width:100%; background-color:#f9f9ff; {{Text color default}};margin-bottom:10px;padding-bottom:5px;padding-left:5px;padding-right:4px;&quot;&gt;
&lt;h2 style=&quot;padding:3px; background:#aaccff; {{Text color default}}; color:#000; text-align:center; font-weight:bold; font-size:100%; margin-bottom:5px;margin-top:0;margin-left:-5px;margin-right:-4px;&quot;&gt;Division News&lt;/h2 &gt;
[[Image:Nuvola apps knewsticker.png|right|50px|]]* '''April 8, 2026 ''' - Department founded!&lt;/div&gt;

&lt;/div&gt;
&lt;/div&gt;
&lt;div&gt; 
&lt;h2 style=&quot;padding:3px; background:#aaccff; {{Text color default}}; color:#000; text-align:center; font-weight:bold; font-size:100%; margin-bottom:5px;margin-top:0;margin-left:-5px;margin-right:-4px;&quot;&gt;See also&lt;/h2 &gt;
[[Image:Nuvola apps bookcase.svg|right|44px|]]
[[Southeast Asian Languages/Philippine Languages/Bikol]]&lt;/div&gt;

&lt;div style=&quot;float: right; margin: 2px;&quot;&gt;
{| class=&quot;wikitable&quot; border=&quot;1&quot;
|-
|{{center|'''Additional Wikimedia resources'''}}
|-
! style=&quot;background: #lime&quot; colspan=&quot;6&quot; | [[:b:Bikol|Textbook]] at Wikibooks
|-
! style=&quot;background: #lime&quot; colspan=&quot;6&quot; | {{w|Central Bikol|Article}} at Wikipedia
|-
! style=&quot;background: #lime&quot; colspan=&quot;6&quot; | [[:b:Wikivoyage|Bikol phrasebook]]  at Wikivoyage
|}&lt;/div&gt;


&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;

__NOEDITSECTION__
__NOTOC__

[[Category:Philippine languages]]</text>
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    </revision>
    <revision>
      <id>2803928</id>
      <parentid>2803927</parentid>
      <timestamp>2026-04-09T13:59:46Z</timestamp>
      <contributor>
        <username>CarlessParking</username>
        <id>3064444</id>
      </contributor>
      <origin>2803928</origin>
      <model>wikitext</model>
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      <text bytes="4310" sha1="m9l964t4u7xduzmdxirqjpsm9l3b9pw" xml:space="preserve">&lt;div style=&quot;display:block;border:1px solid #aaaaaa;vertical-align: top;width:99%; background-color:#f9f9ff; {{Text color default}};margin-bottom:10px;margin-top:5px;padding-left:5px;padding-right:4px;&quot;&gt;
&lt;h2 style=&quot;padding:3px; background:#aaccff; {{Text color default}}; color:#000; text-align:center; font-weight:bold; font-size:100%; margin-bottom:5px;margin-top:0;margin-left:-5px;margin-right:-4px;&quot;&gt;Philippine Languages Division&lt;/h2 &gt;
[[Image:Globe of letters.svg|right|88px|Languages]]
Welcome to the '''Bikol Department''' at Wikiversity, part of the [[Portal:Foreign Language Learning|Center for Foreign Language Learning]] and the [[School:Language and Literature|School of Language and Literature]].

Bikol is an Austronesian language spoken in the Philippines particularly on the Bicol Peninsula in the island of Luzon. Standard Bikol is based on the dialect of Naga City and is spoken in a wide area stretching from Camarines Norte, most of Camarines Sur, the entire east coast of Albay (including Legazpi City and Tabaco City) and northern Sorsogon. Standard Bikol is generally understood by other Bikol speakers and is the regional lingua franca.
&lt;/div&gt;

&lt;div style=&quot;display:block;border:1px solid #aaaaaa;vertical-align: top;width:100%; background-color:#f9f9ff; {{Text color default}};margin-bottom:10px;padding-bottom:5px;padding-left:5px;padding-right:4px;&quot;&gt;
&lt;h2 style=&quot;padding:3px; background:#aaccff; {{Text color default}}; color:#000; text-align:center; font-weight:bold; font-size:100%; margin-bottom:5px;margin-top:0;margin-left:-5px;margin-right:-4px;&quot;&gt;Courses&lt;/h2 &gt;
[[Image:Crystal128-kanagram.svg|right|44px|]]
* [[Southeast Asian Languages/Philippine Languages/Bikol 1|Bikol 1]] - you will learn how to greet and introduce yourself in Bikol.&lt;br&gt;
''Province focus: Albay''&lt;/br&gt;
* [[Southeast Asian Languages/Philippine Languages/Bikol 2|Bikol 2]] - get to know the alphabets and how they are pronounced in Bikol.&lt;br&gt;
''Province focus: Sorsogon''&lt;/br&gt;
* [[Southeast Asian Languages/Philippine Languages/Bikol 3|Bikol 3]] - learn how time is being said in Bikol.&lt;br&gt;''Province focus: Catanduanes''&lt;/br&gt;
&lt;div style=&quot;display:block;width:99%;float:left&quot;&gt;
&lt;div style=&quot;width:50%;display:block;float:left;&quot;&gt;
* [[Southeast Asian Languages/Philippine Languages/Bikol/Lesson:Vocabulary|Vocabulary]] - this lesson will give you some useful words and phrases in Bikol.&lt;br&gt;''Province focus: Camarines Sur''&lt;/br&gt;
* [[Southeast Asian Languages/Philippine Languages/Bikol/Lesson:Grammar|Grammar]] - this lesson will answer your curiosity on how words are being joined together in Bikol.&lt;br&gt;''Province focus: Camarines Norte''&lt;/br&gt;
* [[Southeast Asian Languages/Philippine Languages/Bikol/Lesson:Quiz|Quiz]] - challenge yourself on how well you familiarize the grammar in Bikol.&lt;br&gt;''Province focus: Masbate''&lt;/br&gt;&lt;/div&gt;

&lt;div style=&quot;display:block;width:99%;float:left&quot;&gt;
&lt;div style=&quot;width:50%;display:block;float:left;&quot;&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;div style=&quot;display:block;border:1px solid #aaaaaa;vertical-align: top;width:100%; background-color:#f9f9ff; {{Text color default}};margin-bottom:10px;padding-bottom:5px;padding-left:5px;padding-right:4px;&quot;&gt;
&lt;h2 style=&quot;padding:3px; background:#aaccff; {{Text color default}}; color:#000; text-align:center; font-weight:bold; font-size:100%; margin-bottom:5px;margin-top:0;margin-left:-5px;margin-right:-4px;&quot;&gt;Division News&lt;/h2 &gt;
[[Image:Nuvola apps knewsticker.png|right|50px|]]* '''April 8, 2026 ''' - Department founded!&lt;/div&gt;

&lt;/div&gt;
&lt;/div&gt;
&lt;div&gt; 
&lt;h2 style=&quot;padding:3px; background:#aaccff; {{Text color default}}; color:#000; text-align:center; font-weight:bold; font-size:100%; margin-bottom:5px;margin-top:0;margin-left:-5px;margin-right:-4px;&quot;&gt;See also&lt;/h2 &gt;
[[Image:Nuvola apps bookcase.svg|right|44px|]]
[[Southeast Asian Languages/Philippine Languages/Bikol]]&lt;/div&gt;

&lt;div style=&quot;float: right; margin: 2px;&quot;&gt;
{| class=&quot;wikitable&quot; border=&quot;1&quot;
|-
|{{center|'''Additional Wikimedia resources'''}}
|-
! style=&quot;background: #lime&quot; colspan=&quot;6&quot; | [[:b:Bikol|Textbook]] at Wikibooks
|-
! style=&quot;background: #lime&quot; colspan=&quot;6&quot; | {{w|Central Bikol|Article}} at Wikipedia
|-
! style=&quot;background: #lime&quot; colspan=&quot;6&quot; | [[:b:Wikivoyage|Bikol phrasebook]]  at Wikivoyage
|}&lt;/div&gt;


&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;

__NOEDITSECTION__
__NOTOC__

[[Category:Philippine languages]]</text>
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    <revision>
      <id>2803933</id>
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      <text bytes="4197" sha1="ii5z6p1t1kbhfwi7bt6zq6lzyc1nqz8" xml:space="preserve">&lt;div style=&quot;display:block;border:1px solid #aaaaaa;vertical-align: top;width:99%; background-color:#f9f9ff; {{Text color default}};margin-bottom:10px;margin-top:5px;padding-left:5px;padding-right:4px;&quot;&gt;
&lt;h2 style=&quot;padding:3px; background:#aaccff; {{Text color default}}; color:#000; text-align:center; font-weight:bold; font-size:100%; margin-bottom:5px;margin-top:0;margin-left:-5px;margin-right:-4px;&quot;&gt;Philippine Languages Division&lt;/h2 &gt;
[[Image:Globe of letters.svg|right|88px|Languages]]
Welcome to the '''Bikol Department''' at Wikiversity, part of the [[Portal:Foreign Language Learning|Center for Foreign Language Learning]] and the [[School:Language and Literature|School of Language and Literature]].

Bikol is an Austronesian language spoken in the Philippines particularly on the Bicol Peninsula in the island of Luzon. Standard Bikol is based on the dialect of Naga City and is spoken in a wide area stretching from Camarines Norte, most of Camarines Sur, the entire east coast of Albay (including Legazpi City and Tabaco City) and northern Sorsogon. Standard Bikol is generally understood by other Bikol speakers and is the regional lingua franca.
&lt;/div&gt;

&lt;div style=&quot;display:block;border:1px solid #aaaaaa;vertical-align: top;width:100%; background-color:#f9f9ff; {{Text color default}};margin-bottom:10px;padding-bottom:5px;padding-left:5px;padding-right:4px;&quot;&gt;
&lt;h2 style=&quot;padding:3px; background:#aaccff; {{Text color default}}; color:#000; text-align:center; font-weight:bold; font-size:100%; margin-bottom:5px;margin-top:0;margin-left:-5px;margin-right:-4px;&quot;&gt;Courses&lt;/h2 &gt;
[[Image:Crystal128-kanagram.svg|right|44px|]]
* [[Southeast Asian Languages/Philippine Languages/Bikol 1|Bikol 1]] - you will learn how to greet and introduce yourself in Bikol.&lt;br&gt;
''Province focus: Albay''&lt;/br&gt;
* [[Southeast Asian Languages/Philippine Languages/Bikol 2|Bikol 2]] - get to know the alphabets and how they are pronounced in Bikol.&lt;br&gt;
''Province focus: Sorsogon''&lt;/br&gt;
* [[Southeast Asian Languages/Philippine Languages/Bikol 3|Bikol 3]] - learn how time is being said in Bikol.&lt;br&gt;''Province focus: Catanduanes''&lt;/br&gt;

&lt;div style=&quot;display:block;width:99%;float:left&quot;&gt;
&lt;div style=&quot;width:50%;display:block;float:left;&quot;&gt;
&lt;div&gt;
* [[Southeast Asian Languages/Philippine Languages/Bikol/Lesson:Vocabulary|Vocabulary]] - this lesson will give you some useful words and phrases in Bikol.&lt;br&gt;''Province focus: Camarines Sur''&lt;/br&gt;
* [[Southeast Asian Languages/Philippine Languages/Bikol/Lesson:Grammar|Grammar]] - this lesson will answer your curiosity on how words are being joined together in Bikol.&lt;br&gt;''Province focus: Camarines Norte''&lt;/br&gt;
* [[Southeast Asian Languages/Philippine Languages/Bikol/Lesson:Quiz|Quiz]] - challenge yourself on how well you familiarize the grammar in Bikol.&lt;br&gt;''Province focus: Masbate''&lt;/br&gt;&lt;/div&gt;

&lt;div style=&quot;display:block;border:1px solid #aaaaaa;vertical-align: top;width:100%; background-color:#f9f9ff; {{Text color default}};margin-bottom:10px;padding-bottom:5px;padding-left:5px;padding-right:4px;&quot;&gt;
&lt;h2 style=&quot;padding:3px; background:#aaccff; {{Text color default}}; color:#000; text-align:center; font-weight:bold; font-size:100%; margin-bottom:5px;margin-top:0;margin-left:-5px;margin-right:-4px;&quot;&gt;Division News&lt;/h2 &gt;
[[Image:Nuvola apps knewsticker.png|right|50px|]]* '''April 8, 2026 ''' - Department founded!&lt;/div&gt;

&lt;/div&gt;
&lt;/div&gt;
&lt;div&gt; 
&lt;h2 style=&quot;padding:3px; background:#aaccff; {{Text color default}}; color:#000; text-align:center; font-weight:bold; font-size:100%; margin-bottom:5px;margin-top:0;margin-left:-5px;margin-right:-4px;&quot;&gt;See also&lt;/h2 &gt;
[[Image:Nuvola apps bookcase.svg|right|44px|]]
[[Southeast Asian Languages/Philippine Languages/Bikol]]&lt;/div&gt;

&lt;div style=&quot;float: right; margin: 2px;&quot;&gt;
{| class=&quot;wikitable&quot; border=&quot;1&quot;
|-
|{{center|'''Additional Wikimedia resources'''}}
|-
! style=&quot;background: #lime&quot; colspan=&quot;6&quot; | [[:b:Bikol|Textbook]] at Wikibooks
|-
! style=&quot;background: #lime&quot; colspan=&quot;6&quot; | {{w|Central Bikol|Article}} at Wikipedia
|-
! style=&quot;background: #lime&quot; colspan=&quot;6&quot; | [[:b:Wikivoyage|Bikol phrasebook]]  at Wikivoyage
|}&lt;/div&gt;


&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;

__NOEDITSECTION__
__NOTOC__

[[Category:Philippine languages]]</text>
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    <revision>
      <id>2803934</id>
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&lt;h2 style=&quot;padding:3px; background:#aaccff; {{Text color default}}; color:#000; text-align:center; font-weight:bold; font-size:100%; margin-bottom:5px;margin-top:0;margin-left:-5px;margin-right:-4px;&quot;&gt;Philippine Languages Department&lt;/h2 &gt;
[[Image:Globe of letters.svg|right|88px|Languages]]
Welcome to the '''Bikol Department''' at Wikiversity, part of the [[Portal:Foreign Language Learning|Center for Foreign Language Learning]] and the [[School:Language and Literature|School of Language and Literature]].

Bikol is an Austronesian language spoken in the Philippines particularly on the Bicol Peninsula in the island of Luzon. Standard Bikol is based on the dialect of Naga City and is spoken in a wide area stretching from Camarines Norte, most of Camarines Sur, the entire east coast of Albay (including Legazpi City and Tabaco City) and northern Sorsogon. Standard Bikol is generally understood by other Bikol speakers and is the regional lingua franca.
&lt;/div&gt;

&lt;div style=&quot;display:block;border:1px solid #aaaaaa;vertical-align: top;width:100%; background-color:#f9f9ff; {{Text color default}};margin-bottom:10px;padding-bottom:5px;padding-left:5px;padding-right:4px;&quot;&gt;
&lt;h2 style=&quot;padding:3px; background:#aaccff; {{Text color default}}; color:#000; text-align:center; font-weight:bold; font-size:100%; margin-bottom:5px;margin-top:0;margin-left:-5px;margin-right:-4px;&quot;&gt;Courses&lt;/h2 &gt;
[[Image:Crystal128-kanagram.svg|right|44px|]]
* [[Southeast Asian Languages/Philippine Languages/Bikol 1|Bikol 1]] - you will learn how to greet and introduce yourself in Bikol.&lt;br&gt;
''Province focus: Albay''&lt;/br&gt;
* [[Southeast Asian Languages/Philippine Languages/Bikol 2|Bikol 2]] - get to know the alphabets and how they are pronounced in Bikol.&lt;br&gt;
''Province focus: Sorsogon''&lt;/br&gt;
* [[Southeast Asian Languages/Philippine Languages/Bikol 3|Bikol 3]] - learn how time is being said in Bikol.&lt;br&gt;''Province focus: Catanduanes''&lt;/br&gt;

&lt;div style=&quot;display:block;width:99%;float:left&quot;&gt;
&lt;div style=&quot;width:50%;display:block;float:left;&quot;&gt;
&lt;div&gt;
* [[Southeast Asian Languages/Philippine Languages/Bikol/Lesson:Vocabulary|Vocabulary]] - this lesson will give you some useful words and phrases in Bikol.&lt;br&gt;''Province focus: Camarines Sur''&lt;/br&gt;
* [[Southeast Asian Languages/Philippine Languages/Bikol/Lesson:Grammar|Grammar]] - this lesson will answer your curiosity on how words are being joined together in Bikol.&lt;br&gt;''Province focus: Camarines Norte''&lt;/br&gt;
* [[Southeast Asian Languages/Philippine Languages/Bikol/Lesson:Quiz|Quiz]] - challenge yourself on how well you familiarize the grammar in Bikol.&lt;br&gt;''Province focus: Masbate''&lt;/br&gt;&lt;/div&gt;

&lt;div style=&quot;display:block;border:1px solid #aaaaaa;vertical-align: top;width:100%; background-color:#f9f9ff; {{Text color default}};margin-bottom:10px;padding-bottom:5px;padding-left:5px;padding-right:4px;&quot;&gt;
&lt;h2 style=&quot;padding:3px; background:#aaccff; {{Text color default}}; color:#000; text-align:center; font-weight:bold; font-size:100%; margin-bottom:5px;margin-top:0;margin-left:-5px;margin-right:-4px;&quot;&gt;Division News&lt;/h2 &gt;
[[Image:Nuvola apps knewsticker.png|right|50px|]]* '''April 8, 2026 ''' - Department founded!&lt;/div&gt;

&lt;/div&gt;
&lt;/div&gt;
&lt;div&gt; 
&lt;h2 style=&quot;padding:3px; background:#aaccff; {{Text color default}}; color:#000; text-align:center; font-weight:bold; font-size:100%; margin-bottom:5px;margin-top:0;margin-left:-5px;margin-right:-4px;&quot;&gt;See also&lt;/h2 &gt;
[[Image:Nuvola apps bookcase.svg|right|44px|]]
[[Southeast Asian Languages/Philippine Languages/Bikol]]&lt;/div&gt;

&lt;div style=&quot;float: right; margin: 2px;&quot;&gt;
{| class=&quot;wikitable&quot; border=&quot;1&quot;
|-
|{{center|'''Additional Wikimedia resources'''}}
|-
! style=&quot;background: #lime&quot; colspan=&quot;6&quot; | [[:b:Bikol|Textbook]] at Wikibooks
|-
! style=&quot;background: #lime&quot; colspan=&quot;6&quot; | {{w|Central Bikol|Article}} at Wikipedia
|-
! style=&quot;background: #lime&quot; colspan=&quot;6&quot; | [[:b:Wikivoyage|Bikol phrasebook]]  at Wikivoyage
|}&lt;/div&gt;


&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;

__NOEDITSECTION__
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[[Category:Philippine languages]]</text>
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  <page>
    <title>WikiJournal of Humanities/Proceedings/Wikipedia and Wikimedia projects in the focus of scientific research/Representation of countries of the world in Wikivoyage</title>
    <ns>0</ns>
    <id>328946</id>
    <revision>
      <id>2803904</id>
      <parentid>2803667</parentid>
      <timestamp>2026-04-09T12:42:38Z</timestamp>
      <contributor>
        <username>MathXplore</username>
        <id>2888076</id>
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      <comment>added [[Category:Wikivoyage]] using [[Help:Gadget-HotCat|HotCat]]</comment>
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| first1 = Andriy 
| last1 = Hrytsenko
| orcid1 = 0000-0002-9107-1394
| affiliation1 = Oleksandr Dovzhenko Hlukhiv National Pedagogical University
| correspondence1 = {{nospam|grikand|ukr.net}}
| w1 = 
| journal = WikiJournal of Humanities
| license = 
| abstract = 
| submitted = 2025-06-24
}}

'''Abstract'''
The article provides a comprehensive analysis of the structure of the Ukrainian-language section of Wikivoyage as of December 2025. Based on data on 1,132 articles, the level of representation of continents, countries and administrative-territorial units, including cities, towns and villages of Ukraine, was determined. Significant imbalances between regions of the world were identified: the dominance of Europe and the underrepresentation of Africa, Oceania, the Americas and Antarctica. Significant imbalances between world regions were identified: the dominance of Europe and the underrepresentation of Africa, Oceania, the Americas, and Antarctica. The specifics of the content of articles about Ukraine were detailed, where the largest number of materials are cities and tourist-attractive locations, while villages and settlements are covered to a limited extent, primarily due to their insufficient relevance for this project. Based on the results of the analysis, directions for improving the content of Wikivoyage are proposed, in particular, regarding the expansion of content about regions, little-known settlements and nature reserves. The data obtained can be used in tourism education, digital humanities and research on online encyclopedic communities.

''Keywords:'' Wikivoyage, Wikipedia, digital projects, tourist content, information asymmetry, administrative-territorial representation, Ukrainian-language section.

У статті здійснено комплексний аналіз структури україномовного розділу Вікімандрів станом на грудень 2025 року. На основі даних про 1 132 статті визначено рівень репрезентованості континентів, країн та адміністративно-територіальних одиниць, включно з містами, селищами та селами України. Виявлено суттєві дисбаланси між регіонами світу: домінування Європи та недостатню представленість Африки, Океанії, Америк та Антарктиди. Деталізовано специфіку наповнення статей про Україну, де найбільшу кількість матеріалів становлять міста та туристично привабливі локації, натомість села та селища висвітлено обмежено, перш за все, через їх недостатню релевантність для цього проєкту. За результатами аналізу запропоновано напрями удосконалення змістового наповнення Вікімандрів, зокрема щодо розширення контенту про регіони, маловідомі населені пункти та природоохоронні території. Отримані дані можуть бути використані в туристичній освіті, цифровій гуманітаристиці та дослідженнях онлайн-енциклопедичних спільнот.

''Ключові слова:'' Вікімандри, Вікіпедія, цифрові проєкти, туристичний контент, інформаційна нерівномірність, адміністративно-територіальне представлення, україномовний розділ.

[[Category:Wikivoyage]]</text>
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        <id>2888076</id>
      </contributor>
      <comment>Restored revision 2803667 by [[Special:Contributions/TMorata|TMorata]] ([[en:w:User:BrandonXLF/Restorer|Restorer]])</comment>
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| first1 = Andriy 
| last1 = Hrytsenko
| orcid1 = 0000-0002-9107-1394
| affiliation1 = Oleksandr Dovzhenko Hlukhiv National Pedagogical University
| correspondence1 = {{nospam|grikand|ukr.net}}
| w1 = 
| journal = WikiJournal of Humanities
| license = 
| abstract = 
| submitted = 2025-06-24
}}

'''Abstract'''
The article provides a comprehensive analysis of the structure of the Ukrainian-language section of Wikivoyage as of December 2025. Based on data on 1,132 articles, the level of representation of continents, countries and administrative-territorial units, including cities, towns and villages of Ukraine, was determined. Significant imbalances between regions of the world were identified: the dominance of Europe and the underrepresentation of Africa, Oceania, the Americas and Antarctica. Significant imbalances between world regions were identified: the dominance of Europe and the underrepresentation of Africa, Oceania, the Americas, and Antarctica. The specifics of the content of articles about Ukraine were detailed, where the largest number of materials are cities and tourist-attractive locations, while villages and settlements are covered to a limited extent, primarily due to their insufficient relevance for this project. Based on the results of the analysis, directions for improving the content of Wikivoyage are proposed, in particular, regarding the expansion of content about regions, little-known settlements and nature reserves. The data obtained can be used in tourism education, digital humanities and research on online encyclopedic communities.

''Keywords:'' Wikivoyage, Wikipedia, digital projects, tourist content, information asymmetry, administrative-territorial representation, Ukrainian-language section.

У статті здійснено комплексний аналіз структури україномовного розділу Вікімандрів станом на грудень 2025 року. На основі даних про 1 132 статті визначено рівень репрезентованості континентів, країн та адміністративно-територіальних одиниць, включно з містами, селищами та селами України. Виявлено суттєві дисбаланси між регіонами світу: домінування Європи та недостатню представленість Африки, Океанії, Америк та Антарктиди. Деталізовано специфіку наповнення статей про Україну, де найбільшу кількість матеріалів становлять міста та туристично привабливі локації, натомість села та селища висвітлено обмежено, перш за все, через їх недостатню релевантність для цього проєкту. За результатами аналізу запропоновано напрями удосконалення змістового наповнення Вікімандрів, зокрема щодо розширення контенту про регіони, маловідомі населені пункти та природоохоронні території. Отримані дані можуть бути використані в туристичній освіті, цифровій гуманітаристиці та дослідженнях онлайн-енциклопедичних спільнот.

''Ключові слова:'' Вікімандри, Вікіпедія, цифрові проєкти, туристичний контент, інформаційна нерівномірність, адміністративно-територіальне представлення, україномовний розділ.</text>
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  <page>
    <title>WikiJournal of Humanities/Proceedings/Wikipedia and Wikimedia projects in the focus of scientific research/Statistics of music-themed articles in Ukrainian Wikipedia</title>
    <ns>0</ns>
    <id>328947</id>
    <revision>
      <id>2803903</id>
      <parentid>2803672</parentid>
      <timestamp>2026-04-09T12:42:33Z</timestamp>
      <contributor>
        <username>MathXplore</username>
        <id>2888076</id>
      </contributor>
      <minor />
      <comment>added [[Category:Ukraine]] using [[Help:Gadget-HotCat|HotCat]]</comment>
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      <text bytes="2601" sha1="1djpvicb2dsstlqcjbavkmf86tax8ro" xml:space="preserve">{{Article info
| first1 = Andrii 
| last1 =  Bondarenko
| orcid1 = 0000-0002-6856-991X
| affiliation1 = Kyiv National University of Culture and Arts, Kyiv, UA
| correspondence1 = {{nospam|bondareandre|gmail.com}}
| w1 = 
| journal = WikiJournal of Humanities
| license = 
| abstract = 
| submitted = 2025-06-24
}}

'''Abstract'''
The paper analyzes the thematic coverage, popularity, and quality of music-related articles in the Ukrainian Wikipedia. Two approaches are applied: statistical sampling of randomly selected articles and category-based analysis. The results show that the share of music articles in the overall corpus decreased from over 4% to about 2.4% between 2010 and 2025, while the segment devoted to popular music grew significantly. The largest categories include articles about musicians, albums, and bands, whereas music theory and music education are much less represented. Higher view rates of articles about Ukrainian performers are identified. Problems in the source base are outlined, and stronger involvement of scholars and students in improving content quality is proposed.

''Keywords:'' Wikipedia, statistical analysis, music art.

У роботі проаналізовано тематичне охоплення, популярність і якість статей музичної тематики в українській Вікіпедії. Використано два підходи: аналіз статистичної вибірки випадкових статей та аналіз категорій статей. Показано, що частка музичних статей у загальному масиві впродовж 2010-2025 років знизилась із понад 4% до близько 2,4%, водночас суттєво зріс сегмент популярної музики. Найбільші категорії становлять статті про музикантів, альбоми та гурти, тоді як музична теорія й освіта представлені значно менше. Виявлено вищу відвідуваність статей про українських виконавців. Окреслено проблеми джерельної бази та запропоновано активніше залучати науковців і студентів до покращення якості контенту.

''Ключові слова;'' Вікіпедія, статистичний аналіз, музичне мистецтво

[[Category:Ukraine]]</text>
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  <page>
    <title>WikiJournal of Humanities/Proceedings/Wikipedia and Wikimedia projects in the focus of scientific research/The first Ukrainian WikiConferences</title>
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      <contributor>
        <username>MathXplore</username>
        <id>2888076</id>
      </contributor>
      <minor />
      <comment>added [[Category:Ukraine]] using [[Help:Gadget-HotCat|HotCat]]</comment>
      <origin>2803902</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="1880" sha1="jrudkv9o0znukhm4d5e6e9z4qbmg76a" xml:space="preserve">{{Article info
| first1 = Yehven 
| last1 = Buket
| orcid1 = 0000-0003-2995-3916
| affiliation1 = Taras Shevchenko National University of Kyiv, Kyiv, UA
| correspondence1 = {{nospam|buketius|gmail.com}}
| w1 = 
| journal = WikiJournal of Humanities
| license = 
| abstract = 
| submitted = 2025-06-24
}}

'''Abstract'''
The article tells about the history of offline WikiMeetups in Europe and Ukraine, and analyzes the format of the first Ukrainian Wikiconferences of 2011, 2012, and 2013. It has been established that the lack of clearly defined criteria for scientificity and formalized requirements for reports contributed to the transformation of wikiconferences into predominantly educational and practical community forums and the gradual decrease in the share of scientific presentations in conference programs in 2011–2013.

''Keywords:'' Wikipedia, WikiMeetup, Wikiconference

У статті розповідається про історію офлайн-зустрічей редакторів вікіпроєктів в Європі та Україні, аналізується формат проведення перших українських вікіконференцій 2011, 2012 і 2013 років. Встановлено, що відсутність чітко визначених критеріїв науковості й формалізованих вимог до доповідей сприяли трансформації вікіконференцій у переважно просвітницько-практичні форуми спільноти і поступовому зменшенню частки наукових виступів у програмах конференцій 2011–2013 років.

''Ключові слова:'' Вікіпедія, вікізустріч, вікіконференція

[[Category:Ukraine]]</text>
      <sha1>jrudkv9o0znukhm4d5e6e9z4qbmg76a</sha1>
    </revision>
  </page>
  <page>
    <title>WikiJournal of Humanities/Proceedings/Wikipedia and Wikimedia projects in the focus of scientific research/ Features of creating the Ukrainian electronic encyclopedia</title>
    <ns>0</ns>
    <id>328950</id>
    <revision>
      <id>2803901</id>
      <parentid>2803682</parentid>
      <timestamp>2026-04-09T12:42:14Z</timestamp>
      <contributor>
        <username>MathXplore</username>
        <id>2888076</id>
      </contributor>
      <minor />
      <comment>added [[Category:Ukraine]] using [[Help:Gadget-HotCat|HotCat]]</comment>
      <origin>2803901</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="2774" sha1="8znbsvwl36uwxxtaan8knnvd78kcxfw" xml:space="preserve">{{Article info
| first1 = Julia
| last1 = Rogushina
| orcid1 = 0000-0001-7958-2557 
| affiliation1 = Institute for Digitalisation of Education of the NAES of Ukraine, Kyiv, UA
| submitted= 2025-06-24
| correspondence1 = {{nospam|adamandraka2010|gmail.com}}
| first2 = Olga
| last2 = Pinchuk  
| orcid2 = 0000-0002-2770-0838
| affiliation2 = Institute for Digitalisation of Education of the Natіonal Academy of Educatіonal Scіences of Ukraіne, Kyiv, UA
| correspondence2 = 
{{nospam|opinchuk|iitlt.gov.ua}}
| w1 = 
| license = 
| abstract = 
}} 
'''Abstract'''
The project &quot;Ukrainian Electronic Encyclopedia of Education&quot; has been implemented since 2021 by a team of developers and researchers in the field of digitalization of education. The goal of the project is to create a modern open platform for harmonizing and developing the conceptual and terminological apparatus in the field of education in Ukraine based on semantic expansion of the MediaWiki technologies. The report characterises the specific features of resource creating, determines the prospects for its development and formalises the requirements for the digital competence of participants in this process. The resource's compliance with FAIR requirements is substantiated.

''Keywords:'' Ukrainian Electronic Encyclopedia of Education, Semantic MediaWiki, digital competence, semantic markup, FAIR principles.

Мета проєкту «Українська електронна енциклопедія освіти», що реалізується з 2021 року, – створення сучасної відкритої платформи для узгодження і розвитку українського поняттєво-термінологічного апарату в галузі освіти. У доповіді проаналізовано  специфічні риси створення енциклопедичного ресурсу на основі семантичного розширення технологій MediaWiki, його відповідність вимогам відкритої науки, перспективи розвитку та вимоги до цифрової компетентності учасників цього процесу. Розглядаються переваги, які надає семантизація вікіплатформи, та проблеми, що стосуються практичної реалізації такої семантизації.

''Ключові слова:'' Українська електронна енциклопедія освіти, Semantic MediaWiki, цифрова компетентність, семантична розмітка, принципи FAIR.

[[Category:Ukraine]]</text>
      <sha1>8znbsvwl36uwxxtaan8knnvd78kcxfw</sha1>
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  </page>
  <page>
    <title>WikiJournal of Humanities/Proceedings/Wikipedia and Wikimedia projects in the focus of scientific research/Wikipedia as a tool for shaping academic integrity</title>
    <ns>0</ns>
    <id>328955</id>
    <revision>
      <id>2803900</id>
      <parentid>2803709</parentid>
      <timestamp>2026-04-09T12:42:00Z</timestamp>
      <contributor>
        <username>MathXplore</username>
        <id>2888076</id>
      </contributor>
      <minor />
      <comment>added [[Category:Academic integrity]] using [[Help:Gadget-HotCat|HotCat]]</comment>
      <origin>2803900</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="2475" sha1="ly2b79ko9bzhq8g2kszxt7uluxb5rd9" xml:space="preserve">{{Article info
| first1 = Oleg 
| last1 = Bardadym
| orcid1 = 0000-0002-2777-6568
| affiliation1 = Bohdan Khmelnytsky National University of Cherkasy, Cherkassy, UA
| correspondence1 = {{nospam|bardadym.oleh|vu.cdu.edu.ua}}
| w1 = 
| journal = WikiJournal of Humanities
| license = 
| abstract = 
| submitted = 2025-06-24
}}

'''Abstract'''
The theses examine academic integrity as a fundamental principle of the Ukrainian higher education system in the context of implementing the Law of Ukraine “On Education” (2017). The essence and key components of academic integrity are analyzed, and the educational potential of Wikipedia as a tool for developing relevant student competencies is substantiated. Based on a student survey, the level of Wikipedia use and awareness of its citation tools is identified. The study demonstrates the feasibility of integrating wiki-based practices into academic integrity and information literacy courses to enhance responsible use of information resources.

''Keywords:'' academic integrity, Wikipedia, citation culture, higher education, information literacy.
WikiJournal of Humanities
У тезах розглянуто академічну доброчесність як ключовий принцип функціонування сучасної системи вищої освіти України у контексті реалізації Закону України «Про освіту» (2017). Проаналізовано сутність і складові академічної доброчесності та обґрунтовано освітній потенціал Вікіпедії як інструменту формування відповідних компетентностей у студентів. На основі результатів опитування визначено рівень використання Вікіпедії та її інструментів цитування в освітній практиці. Доведено доцільність інтеграції вікіпрактик у навчальні курси з академічної доброчесності та інформаційної грамотності.

''Ключові слова:'' академічна доброчесність, Вікіпедія, культура цитування, вища освіта, інформаційна грамотність.

[[Category:Academic integrity]]</text>
      <sha1>ly2b79ko9bzhq8g2kszxt7uluxb5rd9</sha1>
    </revision>
  </page>
  <page>
    <title>WikiJournal of Humanities/Proceedings/Wikipedia and Wikimedia projects in the focus of scientific research/Ideological narratives in Russian-language Wikipedia</title>
    <ns>0</ns>
    <id>328958</id>
    <revision>
      <id>2803905</id>
      <parentid>2803717</parentid>
      <timestamp>2026-04-09T12:42:49Z</timestamp>
      <contributor>
        <username>MathXplore</username>
        <id>2888076</id>
      </contributor>
      <minor />
      <comment>added [[Category:Russia]] using [[Help:Gadget-HotCat|HotCat]]</comment>
      <origin>2803905</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="2248" sha1="8cdytk5m11b3v5rtpvs18lbh9xs39pl" xml:space="preserve">{{Article info
| first1 = Maria 
| last1 = Khardel
| orcid1 = 0000-0003-4577-781X
| affiliation1 = 
| correspondence1 = {{nospam|marishakhardel|gmail.com}}
| w1 = 
| journal = WikiJournal of Humanities
| license = 
| abstract = 
| submitted = 2025-06-24
}}

'''Abstract'''
The report analyzes how conflicts related to Ukrainian topics are regulated in the Russian-language Wikipedia through the mechanism of forced mediation. Special attention is given to the influence of ideological narratives on article content, particularly regarding the Holodomor and the pseudo-states of the DPR and LPR. The hypothesis is that, under the guise of neutrality, this mechanism facilitates the consolidation of pro-Russian interpretations of historical facts and limits Ukrainian perspectives. The analysis is conducted both in the context of historical events and through the lens of the ongoing Russia–Ukraine war.

''Keywords:'' Wikipedia, edit war, Russo-Ukrainian war, historical consciousness, information warfare.

У доповіді проаналізовано, як у російськомовній Вікіпедії через механізм примусового посередництва врегульовуються конфлікти на українську тематику. Особлива увага приділяється впливу ідеологічних наративів на зміст статей, зокрема щодо Голодомору та псевдодержав ДНР/ЛНР. Висунуто гіпотезу, що під виглядом нейтральності цей механізм сприяє закріпленню проросійських інтерпретацій історичних фактів і обмеженню українських точок зору. Аналіз проведено в розрізі історичних подій та сучасного погляду на хід російсько-української війни.

''Ключові слова:'' Вікіпедія, війна редагувань, російсько-українська війна, історична свідомість, інформаційна війна.

[[Category:Russia]]</text>
      <sha1>8cdytk5m11b3v5rtpvs18lbh9xs39pl</sha1>
    </revision>
  </page>
  <page>
    <title>WikiJournal of Humanities/Proceedings/Wikipedia and Wikimedia projects in the focus of scientific research/Cooperation between the Wikipedia community and the archives of Ukraine</title>
    <ns>0</ns>
    <id>328959</id>
    <revision>
      <id>2803899</id>
      <parentid>2803719</parentid>
      <timestamp>2026-04-09T12:41:52Z</timestamp>
      <contributor>
        <username>MathXplore</username>
        <id>2888076</id>
      </contributor>
      <minor />
      <comment>added [[Category:Ukraine]] using [[Help:Gadget-HotCat|HotCat]]</comment>
      <origin>2803899</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="2462" sha1="53rlyz2m5vchvoljdqzdf85vbwxo2ed" xml:space="preserve">{{Article info
| first1 = Milana 
| last1 = Sribniak
| orcid1 = 0000-0003-1353-3001
| affiliation1 = National Academy of Sciences of Ukraine, Kyiv, UA
| correspondence1 = {{nospam|sribnyak.milana|gmail.com}}
| w1 = 
| journal = WikiJournal of Humanities
| license = 
| abstract = 
| submitted = 2025-06-24
}}

'''Abstract'''
The study explores the historical background, current state, and future prospects of cooperation between the Ukrainian archival sector and the Wikipedia community represented by Wikimedia Ukraine. It focuses on both official and informal forms of interaction, the use of digitized archival materials in Wikipedia projects, and legal challenges related to open access to archival information. The research highlights the importance of developing legal and organizational mechanisms to ensure sustainable cooperation, enhance open access to Ukraine’s archival heritage, and safeguard digital resources amid current challenges.

''Keywords:'' Ukrainian archives, Wikipedia, Wikipedia community, digitization, GLAM.

Дослідження розглядає історичний досвід, сучасний стан та перспективи співпраці між архівною галуззю України та вікіспільнотою, представленою громадською організацією «Вікімедіа Україна». Особливу увагу присвячено аналізу офіційних і неформальних форматів взаємодії, використанню оцифрованих архівних документів у вікіпроєктах, а також проблемам правового регулювання відкритого доступу до архівної інформації. Дослідження підкреслює важливість створення нормативних і організаційних механізмів, які сприятимуть сталому розвитку міжінституційної взаємодії, розширенню відкритого доступу до архівної спадщини та збереженню цифрових ресурсів у контексті сучасних викликів.

''Ключові слова:'' архіви України, Вікіпедія, вікіспільнота, цифровізація, GLAM.

[[Category:Ukraine]]</text>
      <sha1>53rlyz2m5vchvoljdqzdf85vbwxo2ed</sha1>
    </revision>
  </page>
  <page>
    <title>User talk:CarlessParking</title>
    <ns>3</ns>
    <id>328969</id>
    <revision>
      <id>2804109</id>
      <parentid>2803797</parentid>
      <timestamp>2026-04-10T08:48:00Z</timestamp>
      <contributor>
        <username>PieWriter</username>
        <id>3039865</id>
      </contributor>
      <comment>/* Welcome */ new section</comment>
      <origin>2804109</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="2717" sha1="oo3oqzg4a723c9bzsfet9ij5vbxxp5w" xml:space="preserve">==Welcome==
{{Robelbox|theme=9|title='''[[Wikiversity:Welcome|Welcome]] to [[Wikiversity:What is Wikiversity|Wikiversity]],  CarlessParking!'''|width=100%}}
&lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
You can [[Wikiversity:Contact|contact us]] with [[Wikiversity:Questions|questions]] at the [[Wikiversity:Colloquium|colloquium]] or get in touch with [[User talk:PieWriter|me personally]] if you would like some [[Help:Contents|help]].

Remember to [[Wikiversity:Signature#How to add your signature|sign]] your comments when [[Wikiversity:Who are Wikiversity participants?|participating]] in [[Wikiversity:Talk page|discussions]]. Using the signature icon [[File:OOjs UI icon signature-ltr.svg]] makes it simple.

We invite you to [[Wikiversity:Be bold|be bold]] and [[Wikiversity|assume good faith]]. Please abide by our [[Wikiversity:Civility|civility]], [[Wikiversity:Privacy policy|privacy]], and [[Foundation:Terms of Use|terms of use]] policies.

To find your way around, check out:
&lt;!-- The Left column --&gt;
&lt;div style=&quot;width:50.0%; float:left&quot;&gt;
* [[Wikiversity:Introduction|Introduction to Wikiversity]]
* [[Help:Guides|Take a guided tour]] and learn [[Help:Editing|how to edit]]
* [[Wikiversity:Browse|Browse]] or visit an educational level portal:&lt;br&gt;[[Portal:Pre-school Education|pre-school]] | [[Portal:Primary Education|primary]] | [[Portal:Secondary Education|secondary]] | [[Portal:Tertiary Education|tertiary]] | [[Portal:Non-formal Education|non-formal]]
* [[Wikiversity:Introduction explore|Explore]] links in left-hand navigation menu
&lt;/div&gt;
&lt;!-- The Right column --&gt;
&lt;div style=&quot;width:50.0%; float:left&quot;&gt;

* Read an [[Wikiversity:Wikiversity teachers|introduction for teachers]]
* Learn [[Help:How to write an educational resource|how to write an educational resource]]
* Find out about [[Wikiversity:Research|research]] activities
* Give [[Wikiversity:Feedback|feedback]] about your observations
* Discuss issues or ask questions at the [[Wikiversity:Colloquium|colloquium]]
&lt;/div&gt;
&lt;br clear=&quot;both&quot;/&gt;

To get started, experiment in the [[wikiversity:sandbox|sandbox]] or on [[special:mypage|your userpage]].

See you around Wikiversity! --[[User:PieWriter|PieWriter]] ([[User talk:PieWriter|discuss]] • [[Special:Contributions/PieWriter|contribs]]) 05:06, 9 April 2026 (UTC)&lt;/div&gt;
&lt;!-- Template:Welcome --&gt;
{{Robelbox/close}}

== Welcome ==

I was looking through the deletion requests when I noticed [https://en.wikiversity.org/w/index.php?title=Vietnamese_1%2FIntroducing_Yourself&amp;diff=2803835&amp;oldid=1420558 this]. May I know why you think the page should be deleted? [[User:PieWriter|PieWriter]] ([[User talk:PieWriter|discuss]] • [[Special:Contributions/PieWriter|contribs]]) 08:48, 10 April 2026 (UTC)</text>
      <sha1>oo3oqzg4a723c9bzsfet9ij5vbxxp5w</sha1>
    </revision>
  </page>
  <page>
    <title>Southeast Asian Languages/Philippine Languages/Bikol/Lesson:Quiz</title>
    <ns>0</ns>
    <id>328971</id>
    <revision>
      <id>2803895</id>
      <parentid>2803813</parentid>
      <timestamp>2026-04-09T12:38:49Z</timestamp>
      <contributor>
        <username>MathXplore</username>
        <id>2888076</id>
      </contributor>
      <minor />
      <comment>added [[Category:Quiz]] using [[Help:Gadget-HotCat|HotCat]]</comment>
      <origin>2803895</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="1019" sha1="4qshuebov99hlg1mq60sjjw0jd3lhgf" xml:space="preserve">Quiz:&lt;br/&gt;
Connect the words using ligatures.&lt;br/&gt;
1.) halangkaw + harong ''(tall house)''&lt;br/&gt;
2.) kamot + maati ''(dirty hand)''&lt;br/&gt;
3.) turog + ikos ''(sleeping cat)''&lt;br/&gt;
4.) naglulukso + aki ''(jumping child)''&lt;br/&gt;

Quiz:&lt;br&gt;
Translate these English sentences to Bikol&lt;br&gt;
1. When was your last birthday?&lt;br&gt;
2. When will you take a vacation?&lt;br&gt;
3. When did you get married?&lt;br&gt;
4. When will she pay us a visit?&lt;br&gt;
5. When did you learn to drive a car?

==Province focus: Masbate==
Masbate is an island province just west of Bicol Peninsula. It has a Visayan identity despite being grouped with Bicol Region. The city of Masbate is the capital. Rodeo festival is being held in the province due to having a lot of cattle farms.

[[Portal:Southeast Asian languages|Back to main page]] • [[Southeast Asian Languages/Philippine Languages/Bikol/Lesson:Vocabulary|Vocabulary]] • [[Southeast Asian Languages/Philippine Languages/Bikol/Lesson:Grammar|Grammar]]

[[Category:Philippine languages]]
[[Category:Quiz]]</text>
      <sha1>4qshuebov99hlg1mq60sjjw0jd3lhgf</sha1>
    </revision>
  </page>
  <page>
    <title>Southeast Asian Languages/Vietnamese/Lesson:Vietnamese tones</title>
    <ns>0</ns>
    <id>328976</id>
    <revision>
      <id>2803894</id>
      <parentid>2803863</parentid>
      <timestamp>2026-04-09T12:38:37Z</timestamp>
      <contributor>
        <username>MathXplore</username>
        <id>2888076</id>
      </contributor>
      <minor />
      <comment>removed [[Category:Vietnamese language]]; added [[Category:Vietnamese]] using [[Help:Gadget-HotCat|HotCat]]</comment>
      <origin>2803894</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="2615" sha1="mgvq82kxegl5tscxso694gay6f7ykte" xml:space="preserve">Vietnamese is a tonal language, i.e. the meaning of each word depends on the &quot;tone&quot; in which it is pronounced. Many other languages also use tones, like the Chinese languages, Thai and Lao.

There are six distinct tones; the first one (&quot;level tone&quot;) is not marked, and the other five are indicated by diacritics applied to the main vowel of the syllable:

&lt;table border=1 cellspacing=0 cellpadding=4&gt;
&lt;tr bgcolor=&quot;#eecc00&quot;&gt;&lt;th&gt;Tone&lt;/th&gt;&lt;th&gt;Marking&lt;/th&gt;&lt;th colspan=12&gt;Marked vowels&lt;/th&gt;&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Ngang (Level)&lt;/td&gt;&lt;td&gt;Unmarked&lt;/td&gt;
&lt;td&gt;A/a&lt;/td&gt;&lt;td&gt;&amp;#258;/&amp;#259;&lt;/td&gt;&lt;td&gt;Â/â&lt;/td&gt;
&lt;td&gt;E/e&lt;/td&gt;&lt;td&gt;Ê/ê&lt;/td&gt;&lt;td&gt;I/i&lt;/td&gt;
&lt;td&gt;O/o&lt;/td&gt;&lt;td&gt;Ô/ô&lt;/td&gt;&lt;td&gt;&amp;#416;/&amp;#417;&lt;/td&gt;
&lt;td&gt;U/u&lt;/td&gt;&lt;td&gt;&amp;#431;/&amp;#432;&lt;/td&gt;&lt;td&gt;Y/y&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Huy&amp;#7873;n (Falling)&lt;/td&gt;&lt;td&gt;Grave&lt;/td&gt;
&lt;td&gt;À/à&lt;/td&gt;&lt;td&gt;&amp;#7856;/&amp;#7857;&lt;/td&gt;&lt;td&gt;&amp;#7846;/&amp;#7847;&lt;/td&gt;
&lt;td&gt;È/è&lt;/td&gt;&lt;td&gt;&amp;#7872;/&amp;#7873;&lt;/td&gt;&lt;td&gt;Ì/ì&lt;/td&gt;
&lt;td&gt;Ò/ò&lt;/td&gt;&lt;td&gt;&amp;#7890;/&amp;#7891;&lt;/td&gt;&lt;td&gt;&amp;#7900;/&amp;#7901;&lt;/td&gt;
&lt;td&gt;Ù/ù&lt;/td&gt;&lt;td&gt;&amp;#7914;/&amp;#7915;&lt;/td&gt;&lt;td&gt;&amp;#7922;/&amp;#7923;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;H&amp;#7887;i (Dipping-rising)&lt;/td&gt;&lt;td&gt;Hook&lt;/td&gt;
&lt;td&gt;&amp;#7842;/&amp;#7843;&lt;/td&gt;&lt;td&gt;&amp;#7858;/&amp;#7859;&lt;/td&gt;&lt;td&gt;&amp;#7848;/&amp;#7849;&lt;/td&gt; 
&lt;td&gt;&amp;#7866;/&amp;#7867;&lt;/td&gt;&lt;td&gt;&amp;#7874;/&amp;#7875;&lt;/td&gt;&lt;td&gt;&amp;#7880;/&amp;#7881;&lt;/td&gt; 
&lt;td&gt;&amp;#7886;/&amp;#7887;&lt;/td&gt;&lt;td&gt;&amp;#7892;/&amp;#7893;&lt;/td&gt;&lt;td&gt;&amp;#7902;/&amp;#7903;&lt;/td&gt; 
&lt;td&gt;&amp;#7910;/&amp;#7911;&lt;/td&gt;&lt;td&gt;&amp;#7916;/&amp;#7917;&lt;/td&gt;&lt;td&gt;&amp;#7926;/&amp;#7927;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Ngã (Rising glottalized)&lt;/td&gt;&lt;td&gt;Tilde&lt;/td&gt;
&lt;td&gt;Ã/ã&lt;/td&gt;&lt;td&gt;&amp;#7860;/&amp;#7861;&lt;/td&gt;&lt;td&gt;&amp;#7850;/&amp;#7851;&lt;/td&gt;
&lt;td&gt;&amp;#7868;/&amp;#7869;&lt;/td&gt;&lt;td&gt;&amp;#7876;/&amp;#7877;&lt;/td&gt;&lt;td&gt;&amp;#296;/&amp;#297;&lt;/td&gt;
&lt;td&gt;Õ/õ&lt;/td&gt;&lt;td&gt;&amp;#7894;/&amp;#7895;&lt;/td&gt;&lt;td&gt;&amp;#7904;/&amp;#7905;&lt;/td&gt;
&lt;td&gt;&amp;#360;/&amp;#361;&lt;/td&gt;&lt;td&gt;&amp;#7918;/&amp;#7919;&lt;/td&gt;&lt;td&gt;&amp;#7928;/&amp;#7929;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;S&amp;#7855;c (Rising)&lt;/td&gt;&lt;td&gt;Acute&lt;/td&gt;
&lt;td&gt;Á/á&lt;/td&gt;&lt;td&gt;&amp;#7854;/&amp;#7855;&lt;/td&gt;&lt;td&gt;&amp;#7844;/&amp;#7845;&lt;/td&gt;
&lt;td&gt;É/é&lt;/td&gt;&lt;td&gt;&amp;#7870;/&amp;#7871;&lt;/td&gt;&lt;td&gt;Í/í&lt;/td&gt;
&lt;td&gt;Ó/ó&lt;/td&gt;&lt;td&gt;&amp;#7888;/&amp;#7889;&lt;/td&gt;&lt;td&gt;&amp;#7898;/&amp;#7899;&lt;/td&gt;
&lt;td&gt;Ú/ú&lt;/td&gt;&lt;td&gt;&amp;#7912;/&amp;#7913;&lt;/td&gt;&lt;td&gt;Ý/ý&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;N&amp;#7863;ng (Falling glottalized)&lt;/td&gt;&lt;td&gt;Dot below&lt;/td&gt;
&lt;td&gt;&amp;#7840;/&amp;#7841;&lt;/td&gt;&lt;td&gt;&amp;#7862;/&amp;#7863;&lt;/td&gt;&lt;td&gt;&amp;#7852;/&amp;#7853;&lt;/td&gt;
&lt;td&gt;&amp;#7864;/&amp;#7865;&lt;/td&gt;&lt;td&gt;&amp;#7878;/&amp;#7879;&lt;/td&gt;&lt;td&gt;&amp;#7882;/&amp;#7883;&lt;/td&gt;
&lt;td&gt;&amp;#7884;/&amp;#7885;&lt;/td&gt;&lt;td&gt;&amp;#7896;/&amp;#7897;&lt;/td&gt;&lt;td&gt;&amp;#7906;/&amp;#7907;&lt;/td&gt;
&lt;td&gt;&amp;#7908;/&amp;#7909;&lt;/td&gt;&lt;td&gt;&amp;#7920;/&amp;#7921;&lt;/td&gt;&lt;td&gt;&amp;#7924;/&amp;#7925;&lt;/td&gt;
&lt;/tr&gt;
&lt;/table&gt;

The lowercase letter &quot;i&quot; should retain its dot even when accented. (However, this detail is often lost in computers and on the Internet, due to the obscurity of Vietnamese specialty fonts and limitations of encoding systems.)

[[Category:Vietnamese]]</text>
      <sha1>mgvq82kxegl5tscxso694gay6f7ykte</sha1>
    </revision>
  </page>
  <page>
    <title>Southeast Asian Languages/Philippine Languages/Filipino/Lesson:Pronunciation</title>
    <ns>0</ns>
    <id>328978</id>
    <revision>
      <id>2803893</id>
      <parentid>2803874</parentid>
      <timestamp>2026-04-09T12:38:22Z</timestamp>
      <contributor>
        <username>MathXplore</username>
        <id>2888076</id>
      </contributor>
      <minor />
      <comment>removed [[Category:Philippine languages]]; added [[Category:Filipino]] using [[Help:Gadget-HotCat|HotCat]]</comment>
      <origin>2803893</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="1175" sha1="imapaby9e3bl1v598qctl4f3d8tfdaj" xml:space="preserve">Filipino has 23 consonants and 5 vowels, and is pronounced much like Spanish:

===Vowels===

'''a''' - as in f'''a'''ther 

'''e''' - as in '''e'''cho

'''i''' - as in '''ea'''ger

'''o''' - as in b'''o'''y

'''u''' - as in z'''oo'''

Note: Marks on top of vowels such as the &quot;o&quot; in '''tatló''' indicate that that syllable is stressed, although they are rarely used in everyday writing. 

===Consonants===

'''b, c, d, f, g, h, j, k, l, m, n, ñ, ng, p, q, r, s, t, v, w, x, y, z'''

Most of the consonants are pronounced as in English (with less aspiration on the letters '''b, d, g, k, p, t''') or as in Spanish. 

Notes:

* The letter '''C''', as in English, can be pronounced as a /k/ or an /s/, depending on the word.

* '''Ñ''' is pronounced as /ny/ as in pi'''ñ'''ata.

* The single letter '''Ng''' is pronounced as the &quot;ng&quot; in si'''ng'''er.

* The geminate '''Ll''' is pronounced as /ly/ as in pa'''leo'''ntology.

* '''Y''' can either be pronounced as the regular &quot;y&quot; as in '''y'''ellow or &quot;ee&quot; as in '''Y'''ng (a Filipino-Chinese last name).

[[Portal:Southeast Asian languages|Back to main page]].

{{CourseCat}}
[[Category:Pronunciation]]
[[Category:Filipino]]</text>
      <sha1>imapaby9e3bl1v598qctl4f3d8tfdaj</sha1>
    </revision>
  </page>
  <page>
    <title>Southeast Asian Languages/Philippine Languages/Filipino/Lesson:Numbers</title>
    <ns>0</ns>
    <id>328979</id>
    <revision>
      <id>2803892</id>
      <parentid>2803875</parentid>
      <timestamp>2026-04-09T12:38:15Z</timestamp>
      <contributor>
        <username>MathXplore</username>
        <id>2888076</id>
      </contributor>
      <minor />
      <comment>added [[Category:Filipino]] using [[Help:Gadget-HotCat|HotCat]]</comment>
      <origin>2803892</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="1471" sha1="s2fz0xipdapqn6tanvymkib22d8knjn" xml:space="preserve">===Numbers===
{|-
|&amp;nbsp;
|'''Cardinal'''
|'''Ordinal'''
|-
|1
|isá / uno
|una / ika-isa
|-
|2
|dalawá / dos
|pangalawá / ika'lawa
|-
|3
|tatló / tres
|pangatló / ika'tlo
|-
|4
|apat / kwatro
|pang-apat / ika-apat
|-
|5
|limá / singko
|panlimá / ika-lima
|-
|6 
|anim / sais
|pang-anim / ika-anim
|-
|7 
|pitó / siyete
|pampitó / ika-pito
|-
|8 
|waló / otso
|pangwaló / ika-walo
|-
|9 
|siyám / nuwebe
|pansiyám / ika-siyam
|-
|10
|sampû / diyes
|pansampû / ika-sampu
|-
|11
|labíng-isá / onse (Spanish numbers are commonly used above 10)
|panlabíng-isá / pang-onse / ika-labing-isa
|-
|12
|labingdalawá / dose
|panlabindalawá / pandose / ika-labing-dalawa
|-
|20
|dalawampu / bente / beynte
|pambente / ika-dalawang-pu
|-
|100
|(i)sán(g)daán / syento
|pang-isán(g)daán / pansyento / ika-isang-daan
|-
|200
|dalawáng daán / dos syentos
| pang-dalawang daan / ika-dalawang-daan
|-
|400
|apat-na-raán / kwatro syentos
| pang-apat-na-daan (pang-apat-na-raán)/ ika-apat-na-daan (ika-apat-na-raán)
|-
|600
|anim-na-raán / saís syentos
|&amp;nbsp;
|-
|1,000
|isáng libo
|&amp;nbsp;
|-
|2,000
|dalawáng libo / dos mil
|&amp;nbsp;
|-
|10,000
|sanlaksa / dyes mil
|&amp;nbsp;
|-
|100,000
|sangyuta / syento mil
|&amp;nbsp;
|-
|1,000,000
|isáng milyón / sang-angaw
|&amp;nbsp;
|-
|2,000,000
|dalawáng milyón / dalawang angaw
|&amp;nbsp;
|-
|100,000,000
|isang daang milyon
|}

[[Portal:Southeast Asian languages|Back to main page]].

{{CourseCat}}

[[Category:Filipino]]</text>
      <sha1>s2fz0xipdapqn6tanvymkib22d8knjn</sha1>
    </revision>
    <revision>
      <id>2803896</id>
      <parentid>2803892</parentid>
      <timestamp>2026-04-09T12:38:58Z</timestamp>
      <contributor>
        <username>MathXplore</username>
        <id>2888076</id>
      </contributor>
      <minor />
      <comment>added [[Category:Numbers]] using [[Help:Gadget-HotCat|HotCat]]</comment>
      <origin>2803896</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="1492" sha1="dm87g0hgiz9jrfr3ks9roegip7mo90y" xml:space="preserve">===Numbers===
{|-
|&amp;nbsp;
|'''Cardinal'''
|'''Ordinal'''
|-
|1
|isá / uno
|una / ika-isa
|-
|2
|dalawá / dos
|pangalawá / ika'lawa
|-
|3
|tatló / tres
|pangatló / ika'tlo
|-
|4
|apat / kwatro
|pang-apat / ika-apat
|-
|5
|limá / singko
|panlimá / ika-lima
|-
|6 
|anim / sais
|pang-anim / ika-anim
|-
|7 
|pitó / siyete
|pampitó / ika-pito
|-
|8 
|waló / otso
|pangwaló / ika-walo
|-
|9 
|siyám / nuwebe
|pansiyám / ika-siyam
|-
|10
|sampû / diyes
|pansampû / ika-sampu
|-
|11
|labíng-isá / onse (Spanish numbers are commonly used above 10)
|panlabíng-isá / pang-onse / ika-labing-isa
|-
|12
|labingdalawá / dose
|panlabindalawá / pandose / ika-labing-dalawa
|-
|20
|dalawampu / bente / beynte
|pambente / ika-dalawang-pu
|-
|100
|(i)sán(g)daán / syento
|pang-isán(g)daán / pansyento / ika-isang-daan
|-
|200
|dalawáng daán / dos syentos
| pang-dalawang daan / ika-dalawang-daan
|-
|400
|apat-na-raán / kwatro syentos
| pang-apat-na-daan (pang-apat-na-raán)/ ika-apat-na-daan (ika-apat-na-raán)
|-
|600
|anim-na-raán / saís syentos
|&amp;nbsp;
|-
|1,000
|isáng libo
|&amp;nbsp;
|-
|2,000
|dalawáng libo / dos mil
|&amp;nbsp;
|-
|10,000
|sanlaksa / dyes mil
|&amp;nbsp;
|-
|100,000
|sangyuta / syento mil
|&amp;nbsp;
|-
|1,000,000
|isáng milyón / sang-angaw
|&amp;nbsp;
|-
|2,000,000
|dalawáng milyón / dalawang angaw
|&amp;nbsp;
|-
|100,000,000
|isang daang milyon
|}

[[Portal:Southeast Asian languages|Back to main page]].

{{CourseCat}}

[[Category:Filipino]]
[[Category:Numbers]]</text>
      <sha1>dm87g0hgiz9jrfr3ks9roegip7mo90y</sha1>
    </revision>
  </page>
  <page>
    <title>Category:Thai</title>
    <ns>14</ns>
    <id>328981</id>
    <revision>
      <id>2803907</id>
      <timestamp>2026-04-09T12:45:30Z</timestamp>
      <contributor>
        <username>MathXplore</username>
        <id>2888076</id>
      </contributor>
      <comment>Created page with &quot;[[Category:Languages of Asia]] [[Category:Thailand]]&quot;</comment>
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      <format>text/x-wiki</format>
      <text bytes="52" sha1="ckqbs1931v1f5irxw08ojvuu9mrfm1w" xml:space="preserve">[[Category:Languages of Asia]]
[[Category:Thailand]]</text>
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      <comment>{{Information
|Description=Carry Lookahead Adders 2A traditional (20260408 - 20260407)
|Source={{own|Young1lim}}
|Date=2026-04-09
|Author=Young W. Lim
|Permission={{self|GFDL|cc-by-sa-4.0,3.0,2.5,2.0,1.0}}
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{{Information
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|Source={{own|Young1lim}}
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|Author=Young W. Lim
|Permission={{self|GFDL|cc-by-sa-4.0,3.0,2.5,2.0,1.0}}
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== Licensing ==
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|Description=Carry Lookahead Adders 2A traditional (20260409 - 20260408)
|Source={{own|Young1lim}}
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|Source={{own|Young1lim}}
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|Author=Young W. Lim
|Permission={{self|GFDL|cc-by-sa-4.0,3.0,2.5,2.0,1.0}}
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== Licensing ==
{{self|GFDL|cc-by-sa-4.0,3.0,2.5,2.0,1.0}}</text>
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|Description=C04.SA0: Address and Dereference Operators (20260408 - 20260407)
|Source={{own|Young1lim}}
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|Source={{own|Young1lim}}
|Date=2026-04-09
|Author=Young W. Lim
|Permission={{self|GFDL|cc-by-sa-4.0,3.0,2.5,2.0,1.0}}
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== Licensing ==
{{self|GFDL|cc-by-sa-4.0,3.0,2.5,2.0,1.0}}</text>
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|Source={{own|Young1lim}}
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|Source={{own|Young1lim}}
|Date=2026-04-09
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== Licensing ==
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|Source={{own|Young1lim}}
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|Source={{own|Young1lim}}
|Date=2026-04-09
|Author=Young W. Lim
|Permission={{self|GFDL|cc-by-sa-4.0,3.0,2.5,2.0,1.0}}
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== Licensing ==
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  <page>
    <title>User talk:Guy vandegrift/Archive 18</title>
    <ns>3</ns>
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      <comment>attempt to paste by the real Guy vandegrift.  See talk page for more information.</comment>
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== moves==

I reverted two of your moves, as these pages are included in a course and why should they be under the name of some user? Best regards, [[User:Bocardodarapti|Bocardodarapti]] ([[User talk:Bocardodarapti|discuss]] • [[Special:Contributions/Bocardodarapti|contribs]]) 09:25, 30 December 2023 (UTC)
:{{ping|Bocardodarapti}} &lt;big&gt;'''My apologies!'''&lt;/big&gt;  I am helping a crew attempting to clean up Wikiversity and it was put up for deletion.  In a twisted sort of way, you could say I &quot;rescued&quot; it by moving it into user space.  But I should have been more attentive and simply removed the deletion template.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 12:22, 30 December 2023 (UTC)
:{{ping|Dan Polansky|MGA73|Omphalographer|Dave Braunschweig|koavf}} This is why Dave and I prefer &lt;code&gt;&lt;nowiki&gt;{{subst:prod}}&lt;/nowiki&gt;&lt;/code&gt; to &lt;code&gt;&lt;nowiki&gt;{{delete}}&lt;/nowiki&gt;&lt;/code&gt;, and why I like to move pages to userspace.  Moving the page to userspace meant Bocardodarapti could instantly revert my mistake. Our most valuable &quot;customers&quot; are teachers who bring students to Wikiversity, and I hope some of these students become editors.  It's almost impossible to distinguish a newbie student from a crackpot editor.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 12:58, 30 December 2023 (UTC)
:: I generally support (do not oppose) moving pages to user space rather than deleting them, although for some low-grade material that is rather too kind. But I do not oppose acts of kindness as long as the impact is only on user space. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 13:04, 30 December 2023 (UTC)
:: About the specific page, [[Pi/Real cosine function/Definition]] has no business in the mainspace: it cannot be more useless. I support speedy deletion or moving it to user space. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 13:05, 30 December 2023 (UTC)
::: &lt;small&gt;For the record, I was wrong about [[Pi/Real cosine function/Definition]], as per [[Wikiversity:Colloquium#A discussion has been started on a large collection of orphaned_subpages]]. The page is a rather small module transcluded elsewhere, e.g. from [[Mathematics for Applied Sciences (Osnabrück 2023-2024)/Part I/Lecture 16]]. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 07:02, 31 December 2023 (UTC)&lt;/small&gt;
== Files Missing Information ==
Thanks for uploading files to Wikiversity. All files must have source and license information to stay at Wikiversity. The following files are missing {{tlx|Information}} and/or [[Wikiversity:License tags]], and will be deleted if the missing information is not added. See [[Wikiversity:Uploading files]] for more information.
{{colbegin|3}}
* [[:File:Piano Prelude in C by Johann Sebastian Bach.pdf]]
{{colend}}
[[User:MaintenanceBot|MaintenanceBot]] ([[User talk:MaintenanceBot|discuss]] • [[Special:Contributions/MaintenanceBot|contribs]]) 18:20, 1 January 2024 (UTC)

== Files on Commons ==
{{Robelbox|theme=2|title=[[:Category:Files from USGS]] &amp; [[:Category:Files from Flickr]]}}&lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
Hi! Perhaps you could have a look at the files in [[:Category:NowCommons]]? I think many of the files in [[:Category:Files from USGS]] can be moved to Commons (if not allready there). It would be easier if the files allready there are deleted. --[[User:MGA73|MGA73]] ([[User talk:MGA73|discuss]] • [[Special:Contributions/MGA73|contribs]]) 21:18, 6 January 2024 (UTC)
:{{ping|MGA73}} While I contribute a lot to Commons, it's all my work. For that reason I know almost nothing about image copyright policy or fair use. Do you want me to delete image files on Wikiversity? I can do that if they are not currently being used. 

:I did remove [[:File:Uganda field trials2 lo.jpg]] after verifying that it is the same on commons and not being used on Wikiversity--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 21:59, 6 January 2024 (UTC)

:: Hi! If the file in on Commons you can delete the local file. Unless you think that it is a mistake that the file is on Commons. If the file have a different name on Commons then the pages where the local file is edited should be changed so they use the version on Commons first. --[[User:MGA73|MGA73]] ([[User talk:MGA73|discuss]] • [[Special:Contributions/MGA73|contribs]]) 11:53, 7 January 2024 (UTC)

::: There are also some files in [[:Category:Files from Flickr]] that I'm trying to get moved to Commons. --[[User:MGA73|MGA73]] ([[User talk:MGA73|discuss]] • [[Special:Contributions/MGA73|contribs]]) 12:36, 7 January 2024 (UTC)

::::Due to my lack of experience and knowledge regarding the hosting of images by Wikiversity, I will refer this matter to [[Wikiversity:Request custodian action]].--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 23:06, 7 January 2024 (UTC)

&lt;/div&gt;
{{Robelbox-close}}

==Thanks==
Hey Guy, thanks for salvaging some of my work some time ago. A while ago I found WV too tension-ridden to practically develop a course. I am planning to try again.[[User:Leutha|Leutha]] ([[User talk:Leutha|discuss]] • [[Special:Contributions/Leutha|contribs]]) 16:18, 16 February 2024 (UTC)
:{{ping|Leutha}} You are welcome.  I am still trying to salvage the work of people who take wikibreaks. See [[Wikiversity:Colloquium#How_to_handle_very-low-value_pages_AKA_deletion_and_move_to_userspace_convention]]-[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 16:30, 16 February 2024 (UTC)

==Thank you for all the work==
Let me thank you for all the work you are doing here to help cleanup Wikiversity, striking a balance between kindness and cleanup. In so far as other admins do not seem to do as much, it is unique service. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 15:46, 22 February 2024 (UTC)

== Offensive username ==

Dear custodian,


Your words :

&lt;nowiki&gt;*&lt;/nowiki&gt;&lt;nowiki&gt;''&lt;/nowiki&gt;See also &lt;nowiki&gt;[[w:Bona dea]]&lt;/nowiki&gt;&lt;nowiki&gt;''&lt;/nowiki&gt;

&lt;nowiki&gt;{{cot|Not a request to delete, but&lt;/nowiki&gt;&lt;ins&gt; to space-consuming effort&lt;/ins&gt;&lt;nowiki&gt; to change the username &quot;Bonadea&quot;}}&lt;/nowiki&gt;

Username policy :


&quot;Names of religious figures such as &quot;God&quot;, &quot;Jehovah&quot;, &quot;Buddha&quot;,  &quot;Allah&quot;, or &quot;Bonadea&quot; which may offend other people's beliefs&quot;

Please send a post to user [[user:bonadea]] talk page ,advise him change username.

== Dear Prof. Guy Vandegrift ==

I am grateful for your great work in Wikiversity, a fantastic tool for development of science. Unfortunately I am blocked in &quot;Remission of prediabetes&quot; what can i do? Thank you very much!
&quot;Saltrabook&quot; 
Dr. Olaf Jensen, prof. emer. University of Southern Denmark ocj@health.sdu.dk [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 14:51, 1 March 2024 (UTC) 

:I think you are just blocked from creating pages. You create pages at such a high rate you must by copying and translating, which is a copyright violation.  Also, this many page creations is  disruptive to Wikiversity.  Don't worry, we will work this through together.  My understanding is that you want to create the page [[Remission of prediabetes]], right?--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 14:54, 1 March 2024 (UTC)
::My understanding is that you want to create the page Remission of prediabetes, right?--Guy vandegrift (discuss • contribs) 14:54, 1 March 2024 (UTC). Yes, &quot;Remission of prediabetes&quot; is a precise main page name, I am sorry, I have to learn when can i start? [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 16:19, 2 March 2024 (UTC)
:::Our concern is that you are creating a large number of pages, and they disrupt our wiki.  Are you copying these pages or using a translation software program to create them?--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 16:22, 2 March 2024 (UTC)

== MATLAB/Octave ==
Do you think it would be a good idea to restore [[MATLAB/Octave]] (deleted in 2021) and move it to [[Draft:Archive/2024/MATLAB/Octave]]? I could then have a glance at it and see whether anything could be salvaged for [[GNU Octave]] page. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 09:22, 3 March 2024 (UTC)
:{{ping|Polansky}} I undeleted it.  It was I who deleted with comment to the effect that there are too many errors for me to fix.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 14:23, 3 March 2024 (UTC)
:: Thank you. I did not realize you were the author of the &quot;[[MATLAB/Octave]]&quot; page. There does not seem to be any material usable for [[GNU Octave]]: the bulk of the page is about installing Octave, then there is a short guide to Unix/Linux commands (help, cd, dir, mkdir, rmdir), etc. But almost nothing on Octave per se.
:: Should I moved it to [[Draft:Archive/2024]] or do you want to have it deleted again? (I am fine with both.) --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 14:42, 3 March 2024 (UTC)
:::I know I deleted it, but don't remember why.  I will go ahead and re-delete.  Thanks for looking into that. Also, I have an important question: '''How did you know that the page even existed if it was deleted?''' --[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 15:22, 3 March 2024 (UTC)
:::: The [[MATLAB/Octave]] page was a redlink in [[MATLAB]] before I edited [[MATLAB]] to remove the redlink. It is still a redlink (currently blue) in [[Physics equations/07-Work and Energy/Q:cart1/history]]. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 15:33, 3 March 2024 (UTC)
:::::Thanks.  I should have thought of that as the most likely explanation.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 15:38, 3 March 2024 (UTC)
::::::correct, Danish mother language, med dr. specialist dr. in occupational medicine and 32 years in maritime pub.health occupational medical research in the University Southern Denmark, latest 18 year mainly living in Panama working with Spanish speaking people. I started the Occupational Medical Wikibook, now finished, 10 years ago to fill out the lack of occupational medicine textbook in Panama. Would be grateful if I could have access to the blocked pages on &quot;Prediabetes remission&quot; then i would locate them all in the new space, have no personal things to hide, my name is not to hide. Thank you for all your help [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 21:46, 6 March 2024 (UTC)

== [[special:redirect/logid/3389938]] ==

Please check if you moved to the right namespace. Did you mean to move into userspace? [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 02:58, 5 March 2024 (UTC)
::Yes, of course.  Thanks for catching that. P.S. I like the economy of your link &lt;code&gt;&lt;nowiki&gt;[[special:redirect/logid/3389938]]&lt;/nowiki&gt;&lt;/code&gt;. Where can I find a list of such tricks? (I would have had to use an external link)--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 03:02, 5 March 2024 (UTC)
::: I think [[:w:Help:Special_page#Available_special_pages]] can help you. [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 03:14, 5 March 2024 (UTC)

==Request from Saltrabook to move large project into draftspace==
Hello Guy, please establish one main page as you offered, &quot;Prediabetes diagnostics and remission&quot;, and move my blocked pages to that one, thank you very much--[[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 16:49, 9 March 2024 (UTC)
:It's not really my decision. Wikiversity is a quasi-democracy and we need the consent of something we call &quot;the community&quot;. I will set up your user page so that you can use the pages you already created.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 17:52, 9 March 2024 (UTC)
::Thank you very much, perfect [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 18:04, 10 March 2024 (UTC)

:See '''[[user:Saltrabook]]''' for your current project. I has several nearly blank pages for you to work on.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 17:09, 9 March 2024 (UTC)
::Please delete these or ask for deletion, of all nearly empty page, sorry for these problems, thank you very much [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 17:35, 10 March 2024 (UTC)
:::I thought you might like those pages for your work.  It is better to write a few long pages than lots of little ones.  If it's OK with you, I would like to keep those pages where they are.  You might change your mind and write something on them.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 02:59, 11 March 2024 (UTC)

{{ping|Saltrabook}} Here is a list of pages where you can continue to work.  When a page is complete, let me know and I will rename it.  
{{colbegin}}
#[[User:Saltrabook/empty page-1]]
#[[User:Saltrabook/empty page-2]]
#[[User:Saltrabook/empty-page 3]]
#[[User:Saltrabook/empty-page 4]]
#[[User:Saltrabook/empty-page 5]]
#[[User:Saltrabook/sandbox]]
{{colend}}
Please try and write large pages.  Too many pages on this topic is disruptive to our wiki.19:25, 14 March 2024 (UTC)

== Reconstruction of the delete pages ==

sorry, i dont think I can reconstruct these pages except for one, the manuscript under submission to publication, Prediabetes remission to normoglycemic status. [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 13:30, 16 March 2024 (UTC)
:Where was it submitted? It would help if I knew why you can't reconstruct it: Did you discard your own copy of the draft when you submitted it? Or, do the journal's rules prohibit you from posting a submitted article due to copyright law?--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 13:40, 16 March 2024 (UTC)

== Original writings, ==

I am the author, I dont use translating software and no copy of previous published material. Sometimes i cite my own writings in the published scientific articles, but very little. Now going through the list of pages and add {{tl|db-author}} at the top - i have to be better to clean up - thank you [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 19:34, 18 March 2024 (UTC)
:{{ping|Saltrabook}} DO NOT ADD {{tl|db-author}} TO YOUR PAGES!!!!! They are deletion requests.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 20:54, 18 March 2024 (UTC)

== [[Draft:Archive/2024/Institut Teknologi PLN]] ==

With respect to [[Wikiversity:Request_custodian_action/Archive/25#University_advertisements_on_Wikiversity]], PROD should have been processed rather than archiving the page. [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 05:29, 19 March 2024 (UTC)
:{{ping|MathXplore}} Two questions:
::#Do you want me to put it back into mainspace with the same prod? (If so, I will)
::#(to be continued after I checkout what happened)--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 05:41, 19 March 2024 (UTC)
:: I think non-English content should not be moved to the mainspace, so it should remain in the current position with the prod. [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 05:44, 19 March 2024 (UTC)
:::I will move it back, but according to [https://en.wikiversity.org/w/index.php?title=Draft:Archive/2024/Institut_Teknologi_PLN&amp;oldid=2572456 2572456]], the expiration for deletion was today. Following previous practice, I thought that allowed a deletion.  Do you want to change things; or am I wrong about previous practice?--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 05:49, 19 March 2024 (UTC)
:::: Please feel free to delete the page, I don't think anyone else is working on the translation. [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 05:56, 19 March 2024 (UTC)
:::Also, I am confused about your terminology. It's in draftspace, not mainspace.  Perhaps you meant to say that the prod should not have been dewikified.  Are you saying that you want the prod to remain while it is in draft-archive space? I can do that.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 05:52, 19 March 2024 (UTC)
:::: I apologize if my words have caused any confusion. Yes, I just wanted to say that the prod should not be dewikified. [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 05:57, 19 March 2024 (UTC)
:::::Keep in mind that the entire [[Draft:Archive]] &quot;resource&quot; is just an experiment. The question of whether prods should be deleted was never sorted out in my mind.  Keeping the prods in place makes for a cleaner Draft:Archive-space.  But it also adds work for us.  I thinking somebody might make a bot to dewikify all links and all templates. That would make Draft:Archive-space sterile.  We could even have a bot that blanked all pages that are over 2 years old. ... The idea is that draft-archive-space would be essentially equivalent to outright deletion, except that all users could veiw and effectively &quot;undelete&quot;.  Such a policy makes no sense on Wikipedia, where the goal is to create a useful encyclopedia.  But Wikiversity's mission is to allow people to learn.  And most of us learn by making mistakes.  That means our mistakes should never truly be deleted (just hidden from view.) ... P.S. Don't worry, I have a lot of strange ideas.  But I don't fight for them. Henceforth prods will remain active for pages in draft-archive space.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 06:10, 19 March 2024 (UTC)
::::::I will delete [[Draft:Archive/2024/Institut Teknologi PLN]].  The page is not important. It's the policy that is important.  The &quot;mistake&quot; of not writing in English is not worth preserving for the benefit of authors who want to re-examine how they approach the art of writing.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 06:15, 19 March 2024 (UTC)

== CFC talkback ==

{{talkback|Wikiversity:Candidates_for_Custodianship/MathXplore#Questions_for_the_candidate}} [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 03:06, 20 March 2024 (UTC)

== [[Surreal numbers]] ==
Greetings. I am not clear why you are removing the page from RFD before the RFD run its course. Surely whether the page should be moved out of mainspace should depend on what kind of consensus emerges from the RFD? And before the RFD is closed, the page should remain tagged with {{tlx|rfd}}? --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 11:01, 26 March 2024 (UTC)
:Are you talking about the pages that I archived and mentioned at [[Wikiversity:Requests_for_Deletion#List_of_unresolved_deletion_requests]]? --[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 11:08, 26 March 2024 (UTC)
:: No, I am talking about removal of {{tlx|rfd}} that took place in [[Special:Diff/2615731/2615793]], which took place despite the RFD not yet being closed/resolved (my message was a bit confusing: the page was not fully removed from RFD but only as for removal of the template). --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 11:15, 26 March 2024 (UTC)
:::With only a single author, the choices are keep, subpagify, or delete.  The pages will likely become mathematics subpages and I will bring the matter up on appropriate mathematics talk pages. But both pages are sufficiently related to physics that they can go into [[Physics/Essays]].  I don't need permission from the community to put a page under [[Physics]] because that is my specialty. I changed the rfd template because there is no reason for rfd to be involved.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 11:43, 26 March 2024 (UTC)
:::: Does it mean that you can single-handedly close a RFD nomination as &quot;rejected&quot; without waiting for the result of the discussion? I did not nominate the page for RFD only to have it kept in mainspace. And if there is a disagreement about what should happen to the page--as seems to be the case--that is all the more reason to run the RFD process. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 11:51, 26 March 2024 (UTC)
:::::It means exactly that your RFD nomination was &quot;rejected&quot; without waiting for the result of the discussion. I also reverted your rfd on [[Rational numbers/Introduction]]. The author in question also created the top page, and Bureaucrat [[User:Dave Braunschweig|Dave Braunschweig]] apparently consented. The community can revert Dave's decision. But you cannot.[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 12:47, 26 March 2024 (UTC)

== Prediabetes Remission ==

Guy, please, can you help to create a new main page entitled &quot;Prediabetes Remission&quot; without &quot;maritime&quot; , for use with other transport sectors, e.g. truckers, taxi drivers etc. jobs with biannual medical health examination, to identify those with an A1C level of 39-47 mmol/L (5.7%-6.4%) (prediabetes) who are not (yet) taking medication for diabetes,
thank you [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 19:53, 29 March 2024 (UTC)

Here it is [[User:Saltrabook/Prediabetes Remission]]

It can be moved to [[Prediabetes Remission]] but that requires going though a committee.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 21:02, 29 March 2024 (UTC)

== [[Differential equations/Ordinary Differential Equations]] ==
I will not send this page to RFD to reduce conflict, by to my mind, this page is clearly junk. One should be able to understand what this page is about without reading its parent page. The page is all too typical of Wikiversity: no sources, no definitions, a haphazard/incoherent collection of sentences and this junk is supposed to be &quot;learning material&quot;. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 14:31, 31 March 2024 (UTC)
:[[Special:Diff/2617022/2617520|''This edit'']] makes no sense to me.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 16:21, 31 March 2024 (UTC)

== Possible deletion overload ==
If I am overloading you by deletion nominations, one remedy could be that I would take longer breaks in making them. Thus, there would be longer sequences of days during which I make no nominations, especially do not hit &quot;Random&quot; button to find more junk. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 15:04, 31 March 2024 (UTC)
:Why don't you create a page somewhere and simply list the pages you think we should delete?  We no idea when WV is going to formulate an updated deletion policy. And, if another custodian wishes to moderate the deletions, I will be happy to step aside. Then you can bring up your list.  Place the list wherever you wish, but I suggest [[WV:WGW2024#Personal_subpages_(with_visual_editing)]]--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 15:24, 31 March 2024 (UTC)
:: I am confused about your statements about need to update ''policy''. Since, I am proceeding in accordance with the current guidelines (some do not have &quot;policy&quot; status) that I can find, including [[WV:Deletions]], [[WV:Verifiability]] and [[WV:What is Wikiversity?]]. You make it sound as if we need to wait for some kind of policy update, and I am not clear what you mean. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 15:31, 31 March 2024 (UTC)
:::I don't have a good answer to your question. [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 15:35, 31 March 2024 (UTC)
::Hey, I just had a better idea: I will create the &quot;personal subpage&quot; with a name like &quot;Proposed deletions&quot;.  Then all deletion requests based on low quality can go there, temporarily. That resolution will allow me to remove the stuff posted at [[Wikiversity:Request custodian action]] [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 15:32, 31 March 2024 (UTC)
::: I think I am better served by stepping back from deletions for a week or two rather than starting to do something nonstandard. I am puzzled why the things standard in the English Wiktionary and the English Wikipedia are supposed not to work in the English Wikiversity. It is as if there were some kind of RFD-phobia, something unseen in the English Wiktionary. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 15:34, 31 March 2024 (UTC)
::::I think the problem is that Wikiversity has never had a clear mission.  It's name sounds like the mission of a conventional University, but universities do everything: Childhood education, football games, poetry, art, student essays, student newspapers, you-name-it.  The original plan was to host teaching materials for people to share.  And, &quot;reasearch&quot; is hard to define.  Maybe [[Student Projects]] is a research project into how students write.  My &quot;call-for-essays&quot; on a page you tried to delete certainly was research into how we can get more students involved with Wikiversity.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 15:41, 31 March 2024 (UTC)
::::: Does the above really match [[WV:Deletions]], [[WV:Verifiability]] and [[WV:What is Wikiversity?]] ? --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 15:51, 31 March 2024 (UTC)
::::::I don't have time to read those pages now.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 16:29, 31 March 2024 (UTC)

== Regarding Genetics/Human Leukocyte Antigen/Linkage Disequilibrium/DR-DQ Blocks ==

Dear Mr. Guy Vandegrift,

According to the log file for the page [[Genetics/Human Leukocyte Antigen/Linkage Disequilibrium/DR-DQ Blocks|Genetics/Human Leukocyte Antigen/Linkage Disequilibrium/DR-DQ Blocks - Wikiversity]], you deleted it [https://en.wikiversity.org/w/index.php?title=Special:Log&amp;logid=3335327 21 December 2022]. I work in a lab which performs blood tests for celiac disease and we used this page periodically in our assessments of genetic risk for celiac disease, in order to see repported haplotypes. Could you please reactivate the page, if possible, or provide us a copy of it? Thank you in advance!

Best regards,

Nicolae Miron MD [[User:Nicolae.Miron|Nicolae.Miron]] ([[User talk:Nicolae.Miron|discuss]] • [[Special:Contributions/Nicolae.Miron|contribs]]) 11:16, 2 April 2024 (UTC)

==change main page name==
Im sorry, i dont understand, why i cannot change the main page. We need to change the main page name to &quot;Pre-diabetes Remission-Net&quot; as we expand our activites to include other than the maritime area to be stronger in research and intervention practice with other researchers and occupational health practicers e.g. the Truck-drivers [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 16:59, 2 April 2024 (UTC)

:{{ping|Saltrabook}} Is this what you want?
:* [[User:Saltrabook/Pre-diabetes Remission-Net]]
:[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 19:04, 2 April 2024 (UTC)
:Yes, please, this is what i want, then the original title with &quot;Maritime Health Research and Education&quot; will be a subtitle.  Thank you very much [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 22:00, 2 April 2024 (UTC)
::Let me know if you need anything else. [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 22:12, 2 April 2024 (UTC)

==[[Number Theory/Surreal numbers]]==
&quot;Surreal numbers&quot; are misplaced since &quot;number theory&quot;, despite its name, does not concern itself with any and all numbers but rather with ''positive integers''. The move of [[Surreal numbers]] is therefore not only unnecessary/unhelpful but also incorrect. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 06:23, 3 April 2024 (UTC)
:I see your point.  I will move it back to [[Surreal numbers]] ... Actually, the topic more resembles set theory, or perhaps an alternative view of numerical analysis.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 11:20, 3 April 2024 (UTC)
:: (A non-actionable aside) At the university where I studied, if this was covered at all, it would have probably been covered in set theory classes since set-theoretic construction of rational numbers was covered there. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 12:24, 3 April 2024 (UTC)

More on [[Surreal numbers]]: I think using chatbots to write articles to &quot;save&quot; them is a poor plan. Mistakes are likely to be countless. Here is one: &quot;Real numbers is defined to include positive and negative rational numbers (p/q where p and q are integers), as well as irrational numbers (π and 21/2), but with a twist: Also included are not one, but an infinite number of infinities, along with a similar collection of &quot;zeros&quot;, often called ε (in the limit that ε→0.)&quot; Well, you mean &quot;Real numbers&quot; --&gt; &quot;Surreal numbers&quot;, right? --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 12:55, 3 April 2024 (UTC)

:That wasn't the chatbot. That was my writing, and I agree that it is garbled.  Chatbots don't make mistakes like this. If you want to see the chatbot's words, visit [[Chatbot math/Gemini/24.03/Surreal numbers]]. [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 13:34, 3 April 2024 (UTC)
:: Ah, that makes sense. Incidentally, is [[Chatbot math/Gemini/24.03/Surreal numbers]] a correct location or does it belong to Gemini? --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 14:07, 3 April 2024 (UTC)
:::Thanks. I moved it to Gemini... Also, the problem with Chatbots on Wikiversity isn't low quality, but the ability to create too much prose and too many pages.  A student who writes on bad essay that goes into a collection of bad essays does not much hurt WV.  It's the students who creates hundreds of pages, uploads thousands of files, or creates megabytes of text that overwhelms the system.  A student who writes one short essay has a non-zero probability of coming back to it and learn.  The student who writes reams of prose will never re-read it and never learn from the experience.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 14:51, 3 April 2024 (UTC)

== Prediabetes Remission-Net ==

Please create a new page, Prediabetes Remission-Net and dono replace &quot;Maritime Research and Education-Net (Mahre-Net) stay untuched. thank you very much [[User:Saltrabook|Saltrabook]] ([[User talk:Saltrabook|discuss]] • [[Special:Contributions/Saltrabook|contribs]]) 17:59, 3 April 2024 (UTC)

Here is your new page:
*[[User:Saltrabook/Prediabetes Remission-Net]] 
:--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 20:55, 3 April 2024 (UTC)

== Bureaucratship ==

Per [[Wikiversity:Candidates for Custodianship#Nominations for Bureaucratship]], you are now a bureaucrat. Congratulations! -- [[User:Dave Braunschweig|Dave Braunschweig]] ([[User talk:Dave Braunschweig|discuss]] • [[Special:Contributions/Dave Braunschweig|contribs]]) 02:00, 8 June 2024 (UTC)

Congratulations! Please feel free to reach out to me if you'd like any advice. --[[User:Mu301|mikeu]] &lt;sup&gt;[[User talk:Mu301|talk]]&lt;/sup&gt; 14:01, 11 June 2024 (UTC)

== I think we should keep our eyes on [[User:Username142857]] ==

Thank you for choosing to join the bureaucrat team. I was recently sending messages to [[User talk:Username142857]] and I noticed that you have already communicated with them in the past. I want you to note that [[User:Username142857]] has more issues apart from page creation. I have already explained to them, but if you have anything else to add, that may be helpful for [[User:Username142857]]. Thank you for your contributions. [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 03:27, 9 June 2024 (UTC)

:I just now examined enough of your interactions with them to agree with you.  The problem of too many questions might be solved by a topic ban on Wikiversity discussions. On the creation of marginal pages, we have a [[wikt:plethora|plethora]] of options.  And this user is only a microscopically small fraction of that problem. [[User:Guy vandegrift/2024/User monitoring|I will monitor this user's contributions]] and will let you know if I have any ideas. [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 04:43, 9 June 2024 (UTC)

== Plausible yet untrue ==
I propose to remove the following statement from mainspace:

: &quot;If a mathematical statement is both plausible and useful, I honestly don't care if it is true.&quot;

It is a dangerous statement, expressing a dangerously cavalier attitude toward mathematical truth. I personally got burned by reaching a mistaken conclusion about a particular mathematical hypothesis by abandoning the mathematical rigor; although my attitude was not that truth does not matter but rather that in that case the less than rigorous argument was sufficient to establish the truth, which it was not. That is not to say that intuitive arguments and plausibility checks never have value, but rather that in case of doubt, at least checking a reliable source is the minimum one should do, even if one does not try to follow the proof.

Using the above attitude, one may naively peruse e.g. Google's Gemini, make it output &quot;useful&quot; somewhat plausible statements, and end up in error real fast. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 04:48, 13 June 2024 (UTC)

:A good example is the [[w:Dirac delta function|dirac delta function]], which is not a function and cannot be graphed. Yet, by sketching a graph you can &quot;prove&quot; that &lt;math display=&quot;inline&quot;&gt;\int_{-\infty}^{\infty} \delta'(x)dx =-f'(0).&lt;/math&gt; It is entirely plausible that this result was known before a proper definition of this [[w:Distribution (mathematics)|distribution]] was established. A better example is probably renormalization theory. I am pretty sure it was being used in physics before it was fully understood. To your point, however, '''&quot;I honestly don't care...&quot;'''should probably be replaced by '''&quot;I usually don't care...&quot;'''.  Also, I purposely placed that sentence at the top as a warning to the reader not to make the mistake you alluded to.

:It's an educational resource -- sort of &quot;research for students&quot;.  When it is finished, I plan to introduce the term '''''&lt;big&gt;Conjecture?:&lt;/big&gt;'''''''' in place of ''postulates'', ''theorems'', and ''corollaries''.  Each &quot;Conjecture?&quot; would contain a link to a page where students could discuss its veracity.  After drifting between research jobs, I finally landed a teaching position where I could apply for a grant to build a plasma device with students.  That induced me to look back on research that was done many years ago on the same subject.  I was shocked that in retrospect, almost most publications back then were highly flawed.  Maybe computer science is more precise, because it is usually obvious when computer code doesn't work.  But with attempts to predict the behavior of a magnetically confined plasma, most predictions are wrong. 

:One more thing: Cable news in the US is plagued by commentators pretending to be newscasters making claims like &quot;''People are saying that this person is ...''&quot; This is a serious problem that threatens our democracy.  But surreal number theory has often be called &quot;recreational math&quot;. It's supposed to be fun.

It's nice to hear from you!--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 14:42, 13 June 2024 (UTC)

== Ideas about consciousness after death and other topics ==
Dear Guy vandegrift, I read your arguments on the topic ''[[Will we lose our consciousness after we die?]]''. Your arguments sound very interesting, but as a layperson (I don't actually understand anything about physics), I don't actually understand any of it, let alone how it relates to the continuation of consciousness after death. But I really want to understand it. I read on your user page that you are a retired physics professor. Could you explain in simple terms what your arguments are for the continuation of the consciousness after death?

Additionally, I am also curious about your opinion on my philosophical ideas–about how reality might function–which I have described on [[Wikiphilosophers]]. What do you think about topics such as free will, the meaning of life, past lives, paranormal phenomena and extraterrestrial life? I look forward to hearing from you! Kind regards, [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 23:59, 28 July 2024 (UTC)

:Several thoughts:
:#We need to distinguish between &quot;perception&quot; and &quot;reality&quot; the person in the parallel universe will think he is me.  If perception is reality, then he is me.  But of course, he is not me.
:#Regarding the physics, the &quot;Hubble volume&quot; is roughly the same everything we can see using the most powerful telescopes.  I can't guarantee that this is explained in [[Wikipedia:Hubble volume]] (which is why we need Wikiversity.)  
:#I took two philosophy courses (one in high school and the other in college) and found it a fascinating subject.  Afterwards, I read a book on a 18th or 19th century philosopher (whose name I forgot).  I was impressed by the ideas put forth by this philosopher, but cannot remember a single thing from that book (I read it about 50 years ago.)
:#My background in physics gave me a perspective about reality that I believe is shared by many if not most physicists:  Reality can not be understood; it can only be predicted.  The predictions involve mathematics, and every known mathematical model is incomplete or flawed in some way.  For that reason, I can only  view consciousness as something other people claim to have: Humans have brains that cause them to claim they possess consciousness.  
:[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 00:08, 29 July 2024 (UTC)
::Thank you for your response! Coincidentally, I created an article today on the Dutch Wikipedia about ''universeel bewustzijn'' ({{w|universal mind}}) and I wrote something about the thoughts of philosopher and computer technologist Bernardo Kastrup. According to him, the relationship between our psyche and the rest of consciousness might resemble that of patients with {{w|dissociative identity disorder}}. If such a dissociative identity disorder could occur on a cosmic level, then people might all be alters of one universal consciousness. Each individual would then have a different perspective on the world and unique physical properties, all stemming from the same underlying consciousness. Is that also what you meant with your thoughts that you just explained to me? Or should I see it (completely) differently? [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 00:18, 29 July 2024 (UTC)
:::I think there might be a connection between dissociative identity disorder and the fact that I cannot define consciousness (or even imagine how a definition could exist.) [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 00:28, 29 July 2024 (UTC)
::::Fascinating! I think that consciousness cannot be defined or explained either—it goes far beyond our human cognitive abilities. I believe that we can only experience consciousness. We only know what it feels like to be one with consciousness when we are actually one with consciousness. But still, I feel a strong urge or need to understand it as a human, haha. That must be my human ego which is determined and prideful. But still, I feel a sigh within me saying: &quot;Man, what are you doing?&quot;
::::And what do you think about other topics such as paranormality and the mystical? [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 00:36, 29 July 2024 (UTC)
:::::My grandparents and great grandparents on my fathers side were into [[w:Table-turning]].  My sister and I tried it as children, but nothing happened. [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 02:19, 29 July 2024 (UTC)
::::::Interesting! Personally, I think I possibly have experiences with reincarnation memories, contact with the deceased, energies from crystals and paranormal occurrences following conversations with psychotic persons. [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 12:54, 29 July 2024 (UTC)
::::By the way, what do you think about the statement ''{{w|Cogito, ergo sum}}''? Kind regards, [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 00:38, 29 July 2024 (UTC)
:::::I read somewhere that it only makes sense if it is a personal reflection.  Recordings of or AI generated sound bytes claiming to 'exist' are clearly unconvincing. [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 09:13, 29 July 2024 (UTC)
::::::That's an interesting question—will AI ever develop self-awareness and consciousness? Personally, I think it could be possible, provided that neuroscience collaborates with computer science and makes revolutionary discoveries, such as connecting AI to a human brain and implanting a brain into a robot. But I am not sure. Kind regards, [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 15:12, 29 July 2024 (UTC)
:: (Butting in) A sketch of a definition: consciousness is that thing that a human loses when he/she falls asleep. --[[User:Dan Polansky|Dan Polansky]] ([[User talk:Dan Polansky|discuss]] • [[Special:Contributions/Dan Polansky|contribs]]) 05:17, 29 July 2024 (UTC)
:::{{ping|Dan Polansky}}That definition is informal, but I like it. [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 09:03, 29 July 2024 (UTC)
::::My definition of consciousness would be: that which is aware of the existence of itself and its environment, in whatever reality or state it may be. [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 07:42, 29 July 2024 (UTC)
:::::So by that definition, would a dreaming person be in a conscious state? [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 23:36, 30 July 2024 (UTC)
::::::I would differentiate the term ''consciousness'' and ''awareness''. I see consciousness as something even deeper than the {{w|soul}} or {{w|Spirit (supernatural entity)|spirit}}, because both entities are also conscious. I think someone who dreams, certainly has a consciousness (even though the person is not aware of the world in which he is sleeping), but it is located elsewhere, perhaps outside the brain. I am convinced that consciousness goes beyond the brain and I would even venture to say that all consciousnesses are connected through a {{w|universal consciousness}}. But maybe it's the wrong term I am using for it—that may cause confusion. I just don't know any other term that is better. [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 23:58, 30 July 2024 (UTC)
:::::::Perhaps ''{{w|mental substance}}'' is a better term? This was used by {{w|René Descartes}}. Kind regards, [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|discuss]] • [[Special:Contributions/S. Perquin|contribs]]) 00:16, 31 July 2024 (UTC)

Peliaq hng

[[User:Boss dragonearin|Boss dragonearin]] ([[User talk:Boss dragonearin|discuss]] • [[Special:Contributions/Boss dragonearin|contribs]]) 19:48, 9 September 2024 (UTC)

== A link ==

Dear Guy vandegrift , I need an advice. 
As page [[Gravitational stress-energy tensor]] the Gravitational stress-energy tensor is constructed with the help of gravitational tensor. So the link to gravitational tensor is necessary. At the moment the link in red color and need in correction.
The page about gravitational tensor is in subspace [[Physics/Essays/Fedosin]] as [[Physics/Essays/Fedosin/Gravitational tensor]].
My question is the next: Is it possible to create the link to gravitational tensor in the form 
[[Physics/Essays/Fedosin/Gravitational tensor | gravitational tensor]] or the other form is necessary such as [[Physics/Essays/Fedosin/Gravitational tensor]] ? [[User:Fedosin|Fedosin]] ([[User talk:Fedosin|discuss]] • [[Special:Contributions/Fedosin|contribs]]) 07:45, 6 January 2025 (UTC)

== Your thoughts on Ninefold Resonance Theory ==

Dear Guy vandegrift, today I developed my new philosophical-metaphysical theory: the [[Ninefold Resonance Theory]]. I had already asked @[[User:Dan Polansky|Dan Polansky]] for feedback, which he gave, and he advised me to also get in touch with you; hence this message! I was curious about your thoughts on this latest theory of mine. If you would like to respond, please do so on [[Talk:Ninefold Resonance Theory|the discussion page]]! I look forward to hearing from you. Kind regards, [[User:S. Perquin|S. Perquin]] ([[User talk:S. Perquin|overleg]] • [[Special:Contributions/S. Perquin|bijdragen]]) 18:27, 28 September 2025 (UTC)

== Please help ==

@[[User:Guy vandegrift|Guy vandegrift]] Hello Guy, sorry to bother you, but i would ask your help. A curator moved and deleted my articles and I asked for help at Colloquium but got no response. If that is out of your territory, i look further. Sorry again, hope to hear from you. Thanks [[User:Harold Foppele|Harold Foppele]] ([[User talk:Harold Foppele|discuss]] • [[Special:Contributions/Harold Foppele|contribs]]) 22:07, 11 October 2025 (UTC)

== Review if possible ==

Hello @[[User:Guy vandegrift|Guy vandegrift]] would/could you be willing to review pages i made on Quantum Mechanics ? Cheers [[User:Harold Foppele|Harold Foppele]] ([[User talk:Harold Foppele|discuss]] • [[Special:Contributions/Harold Foppele|contribs]]) 23:21, 21 November 2025 (UTC)

== Draft:Archive ==

What is the purpose of this project and how it works? [[User:Juandev|Juandev]] ([[User talk:Juandev|discuss]] • [[Special:Contributions/Juandev|contribs]]) 18:42, 23 November 2025 (UTC)

:I created it when I thought somebody was becoming hyperactive when it came to deleting articles.  The problem went away, because I lost interest in protecting peoples unfinished projects, and/or the hyperactive cleanup person(s) slowed down.  Do you want me to delete them? [[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 22:03, 24 November 2025 (UTC)</text>
      <sha1>hy0z1sd6v2pq1fsnsavfjxuoi6suyn1</sha1>
    </revision>
  </page>
  <page>
    <title>User talk:~2026-22095-85</title>
    <ns>3</ns>
    <id>328988</id>
    <revision>
      <id>2803955</id>
      <timestamp>2026-04-09T16:09:46Z</timestamp>
      <contributor>
        <username>Codename Noreste</username>
        <id>2969951</id>
      </contributor>
      <comment>/* Unrecoverable email access */ new section</comment>
      <origin>2803955</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="478" sha1="tsklnuk6nbhn3zykn7sae3ul82ygv6g" xml:space="preserve">== Unrecoverable email access ==

Hello. Given your situation on your account, I would recommend emailing {{No spam|ca|wikimedia.org}} with a description of your situation and adding your unrecoverable email that you can't utilize right now. They might give you an update and/or provide you instructions. Thanks. [[User:Codename Noreste|Codename Noreste]] ([[User talk:Codename Noreste|discuss]] • [[Special:Contributions/Codename Noreste|contribs]]) 16:09, 9 April 2026 (UTC)</text>
      <sha1>tsklnuk6nbhn3zykn7sae3ul82ygv6g</sha1>
    </revision>
  </page>
  <page>
    <title>User talk:Dronebogus</title>
    <ns>3</ns>
    <id>328990</id>
    <revision>
      <id>2804006</id>
      <timestamp>2026-04-10T00:36:54Z</timestamp>
      <contributor>
        <username>Jtneill</username>
        <id>10242</id>
      </contributor>
      <comment>Welcome</comment>
      <origin>2804006</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="2327" sha1="1um6a6rkttfpnvpp3hx7w3s6hn4gr1x" xml:space="preserve">==Welcome==
{{Robelbox|theme=9|title='''[[Wikiversity:Welcome|Welcome]] to [[Wikiversity:What is Wikiversity|Wikiversity]],  Dronebogus!'''|width=100%}}
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* Read an [[Wikiversity:Wikiversity teachers|introduction for teachers]]
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* Find out about [[Wikiversity:Research|research]] activities
* Give [[Wikiversity:Feedback|feedback]] about your observations
* Discuss issues or ask questions at the [[Wikiversity:Colloquium|colloquium]]
&lt;/div&gt;
&lt;br clear=&quot;both&quot;/&gt;

To get started, experiment in the [[wikiversity:sandbox|sandbox]] or on [[special:mypage|your userpage]].

See you around Wikiversity! ---- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:36, 10 April 2026 (UTC)&lt;/div&gt;
&lt;!-- Template:Welcome --&gt;
{{Robelbox/close}}</text>
      <sha1>1um6a6rkttfpnvpp3hx7w3s6hn4gr1x</sha1>
    </revision>
    <revision>
      <id>2804007</id>
      <parentid>2804006</parentid>
      <timestamp>2026-04-10T00:38:14Z</timestamp>
      <contributor>
        <username>Jtneill</username>
        <id>10242</id>
      </contributor>
      <comment>Reversion</comment>
      <origin>2804007</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="2704" sha1="k0fsfor1j3gz39m9d1tvvtjo4mybdj5" xml:space="preserve">==Welcome==
{{Robelbox|theme=9|title='''[[Wikiversity:Welcome|Welcome]] to [[Wikiversity:What is Wikiversity|Wikiversity]],  Dronebogus!'''|width=100%}}
&lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
You can [[Wikiversity:Contact|contact us]] with [[Wikiversity:Questions|questions]] at the [[Wikiversity:Colloquium|colloquium]] or get in touch with [[User talk:Jtneill|me personally]] if you would like some [[Help:Contents|help]].

Remember to [[Wikiversity:Signature#How to add your signature|sign]] your comments when [[Wikiversity:Who are Wikiversity participants?|participating]] in [[Wikiversity:Talk page|discussions]]. Using the signature icon [[File:OOjs UI icon signature-ltr.svg]] makes it simple.

We invite you to [[Wikiversity:Be bold|be bold]] and [[Wikiversity|assume good faith]]. Please abide by our [[Wikiversity:Civility|civility]], [[Wikiversity:Privacy policy|privacy]], and [[Foundation:Terms of Use|terms of use]] policies.

To find your way around, check out:
&lt;!-- The Left column --&gt;
&lt;div style=&quot;width:50.0%; float:left&quot;&gt;
* [[Wikiversity:Introduction|Introduction to Wikiversity]]
* [[Help:Guides|Take a guided tour]] and learn [[Help:Editing|how to edit]]
* [[Wikiversity:Browse|Browse]] or visit an educational level portal:&lt;br&gt;[[Portal:Pre-school Education|pre-school]] | [[Portal:Primary Education|primary]] | [[Portal:Secondary Education|secondary]] | [[Portal:Tertiary Education|tertiary]] | [[Portal:Non-formal Education|non-formal]]
* [[Wikiversity:Introduction explore|Explore]] links in left-hand navigation menu
&lt;/div&gt;
&lt;!-- The Right column --&gt;
&lt;div style=&quot;width:50.0%; float:left&quot;&gt;

* Read an [[Wikiversity:Wikiversity teachers|introduction for teachers]]
* Learn [[Help:How to write an educational resource|how to write an educational resource]]
* Find out about [[Wikiversity:Research|research]] activities
* Give [[Wikiversity:Feedback|feedback]] about your observations
* Discuss issues or ask questions at the [[Wikiversity:Colloquium|colloquium]]
&lt;/div&gt;
&lt;br clear=&quot;both&quot;/&gt;

To get started, experiment in the [[wikiversity:sandbox|sandbox]] or on [[special:mypage|your userpage]].

See you around Wikiversity! ---- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:36, 10 April 2026 (UTC)&lt;/div&gt;
&lt;!-- Template:Welcome --&gt;
{{Robelbox/close}}

==Reversion==
FYI, I've reverted [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2025%2FCortical_structures_and_motivational_drive&amp;diff=2803999&amp;oldid=2763251 this edit]. Feel free to discuss. Sincerely, James -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:38, 10 April 2026 (UTC)</text>
      <sha1>k0fsfor1j3gz39m9d1tvvtjo4mybdj5</sha1>
    </revision>
    <revision>
      <id>2804009</id>
      <parentid>2804007</parentid>
      <timestamp>2026-04-10T00:42:49Z</timestamp>
      <contributor>
        <username>Jtneill</username>
        <id>10242</id>
      </contributor>
      <comment>/* Reversion */ + 1</comment>
      <origin>2804009</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="3102" sha1="tf31b659o81ogvopipfhiqb06zn86r1" xml:space="preserve">==Welcome==
{{Robelbox|theme=9|title='''[[Wikiversity:Welcome|Welcome]] to [[Wikiversity:What is Wikiversity|Wikiversity]],  Dronebogus!'''|width=100%}}
&lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
You can [[Wikiversity:Contact|contact us]] with [[Wikiversity:Questions|questions]] at the [[Wikiversity:Colloquium|colloquium]] or get in touch with [[User talk:Jtneill|me personally]] if you would like some [[Help:Contents|help]].

Remember to [[Wikiversity:Signature#How to add your signature|sign]] your comments when [[Wikiversity:Who are Wikiversity participants?|participating]] in [[Wikiversity:Talk page|discussions]]. Using the signature icon [[File:OOjs UI icon signature-ltr.svg]] makes it simple.

We invite you to [[Wikiversity:Be bold|be bold]] and [[Wikiversity|assume good faith]]. Please abide by our [[Wikiversity:Civility|civility]], [[Wikiversity:Privacy policy|privacy]], and [[Foundation:Terms of Use|terms of use]] policies.

To find your way around, check out:
&lt;!-- The Left column --&gt;
&lt;div style=&quot;width:50.0%; float:left&quot;&gt;
* [[Wikiversity:Introduction|Introduction to Wikiversity]]
* [[Help:Guides|Take a guided tour]] and learn [[Help:Editing|how to edit]]
* [[Wikiversity:Browse|Browse]] or visit an educational level portal:&lt;br&gt;[[Portal:Pre-school Education|pre-school]] | [[Portal:Primary Education|primary]] | [[Portal:Secondary Education|secondary]] | [[Portal:Tertiary Education|tertiary]] | [[Portal:Non-formal Education|non-formal]]
* [[Wikiversity:Introduction explore|Explore]] links in left-hand navigation menu
&lt;/div&gt;
&lt;!-- The Right column --&gt;
&lt;div style=&quot;width:50.0%; float:left&quot;&gt;

* Read an [[Wikiversity:Wikiversity teachers|introduction for teachers]]
* Learn [[Help:How to write an educational resource|how to write an educational resource]]
* Find out about [[Wikiversity:Research|research]] activities
* Give [[Wikiversity:Feedback|feedback]] about your observations
* Discuss issues or ask questions at the [[Wikiversity:Colloquium|colloquium]]
&lt;/div&gt;
&lt;br clear=&quot;both&quot;/&gt;

To get started, experiment in the [[wikiversity:sandbox|sandbox]] or on [[special:mypage|your userpage]].

See you around Wikiversity! ---- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:36, 10 April 2026 (UTC)&lt;/div&gt;
&lt;!-- Template:Welcome --&gt;
{{Robelbox/close}}

==Reversion==
FYI, I've reverted [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2025%2FCortical_structures_and_motivational_drive&amp;diff=2803999&amp;oldid=2763251 this edit]. Feel free to discuss. Sincerely, James -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:38, 10 April 2026 (UTC)

FYI, I've reinstated [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2023%2FFlourishing_in_the_elderly&amp;diff=2803279&amp;oldid=2798973 this removal of a figure]. Please discuss if you think an image shouldn't be used. Sincerely, James -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:42, 10 April 2026 (UTC)</text>
      <sha1>tf31b659o81ogvopipfhiqb06zn86r1</sha1>
    </revision>
    <revision>
      <id>2804015</id>
      <parentid>2804009</parentid>
      <timestamp>2026-04-10T00:58:12Z</timestamp>
      <contributor>
        <username>Jtneill</username>
        <id>10242</id>
      </contributor>
      <comment>/* Reversion */ +1</comment>
      <origin>2804015</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="3447" sha1="3rhge0unuqh7awkjex319ywlodlkwfi" xml:space="preserve">==Welcome==
{{Robelbox|theme=9|title='''[[Wikiversity:Welcome|Welcome]] to [[Wikiversity:What is Wikiversity|Wikiversity]],  Dronebogus!'''|width=100%}}
&lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
You can [[Wikiversity:Contact|contact us]] with [[Wikiversity:Questions|questions]] at the [[Wikiversity:Colloquium|colloquium]] or get in touch with [[User talk:Jtneill|me personally]] if you would like some [[Help:Contents|help]].

Remember to [[Wikiversity:Signature#How to add your signature|sign]] your comments when [[Wikiversity:Who are Wikiversity participants?|participating]] in [[Wikiversity:Talk page|discussions]]. Using the signature icon [[File:OOjs UI icon signature-ltr.svg]] makes it simple.

We invite you to [[Wikiversity:Be bold|be bold]] and [[Wikiversity|assume good faith]]. Please abide by our [[Wikiversity:Civility|civility]], [[Wikiversity:Privacy policy|privacy]], and [[Foundation:Terms of Use|terms of use]] policies.

To find your way around, check out:
&lt;!-- The Left column --&gt;
&lt;div style=&quot;width:50.0%; float:left&quot;&gt;
* [[Wikiversity:Introduction|Introduction to Wikiversity]]
* [[Help:Guides|Take a guided tour]] and learn [[Help:Editing|how to edit]]
* [[Wikiversity:Browse|Browse]] or visit an educational level portal:&lt;br&gt;[[Portal:Pre-school Education|pre-school]] | [[Portal:Primary Education|primary]] | [[Portal:Secondary Education|secondary]] | [[Portal:Tertiary Education|tertiary]] | [[Portal:Non-formal Education|non-formal]]
* [[Wikiversity:Introduction explore|Explore]] links in left-hand navigation menu
&lt;/div&gt;
&lt;!-- The Right column --&gt;
&lt;div style=&quot;width:50.0%; float:left&quot;&gt;

* Read an [[Wikiversity:Wikiversity teachers|introduction for teachers]]
* Learn [[Help:How to write an educational resource|how to write an educational resource]]
* Find out about [[Wikiversity:Research|research]] activities
* Give [[Wikiversity:Feedback|feedback]] about your observations
* Discuss issues or ask questions at the [[Wikiversity:Colloquium|colloquium]]
&lt;/div&gt;
&lt;br clear=&quot;both&quot;/&gt;

To get started, experiment in the [[wikiversity:sandbox|sandbox]] or on [[special:mypage|your userpage]].

See you around Wikiversity! ---- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:36, 10 April 2026 (UTC)&lt;/div&gt;
&lt;!-- Template:Welcome --&gt;
{{Robelbox/close}}

==Reversion==
FYI, I've reverted [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2025%2FCortical_structures_and_motivational_drive&amp;diff=2803999&amp;oldid=2763251 this edit]. Feel free to discuss. Sincerely, James -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:38, 10 April 2026 (UTC)

FYI, I've reinstated [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2023%2FFlourishing_in_the_elderly&amp;diff=2803279&amp;oldid=2798973 this removal of a figure]. Please discuss if you think an image shouldn't be used. Sincerely, James -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:42, 10 April 2026 (UTC)

FYI, I've revered [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2024%2FLucid_dream_facilitation&amp;diff=2801417&amp;oldid=2677316 this image removal]. Please discuss before removal. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:58, 10 April 2026 (UTC)</text>
      <sha1>3rhge0unuqh7awkjex319ywlodlkwfi</sha1>
    </revision>
    <revision>
      <id>2804017</id>
      <parentid>2804015</parentid>
      <timestamp>2026-04-10T01:06:39Z</timestamp>
      <contributor>
        <username>Jtneill</username>
        <id>10242</id>
      </contributor>
      <comment>Disruptive editing warning</comment>
      <origin>2804017</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="3811" sha1="iwjvx80jke6hncqll3k69ofj8ats707" xml:space="preserve">==Welcome==
{{Robelbox|theme=9|title='''[[Wikiversity:Welcome|Welcome]] to [[Wikiversity:What is Wikiversity|Wikiversity]],  Dronebogus!'''|width=100%}}
&lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
You can [[Wikiversity:Contact|contact us]] with [[Wikiversity:Questions|questions]] at the [[Wikiversity:Colloquium|colloquium]] or get in touch with [[User talk:Jtneill|me personally]] if you would like some [[Help:Contents|help]].

Remember to [[Wikiversity:Signature#How to add your signature|sign]] your comments when [[Wikiversity:Who are Wikiversity participants?|participating]] in [[Wikiversity:Talk page|discussions]]. Using the signature icon [[File:OOjs UI icon signature-ltr.svg]] makes it simple.

We invite you to [[Wikiversity:Be bold|be bold]] and [[Wikiversity|assume good faith]]. Please abide by our [[Wikiversity:Civility|civility]], [[Wikiversity:Privacy policy|privacy]], and [[Foundation:Terms of Use|terms of use]] policies.

To find your way around, check out:
&lt;!-- The Left column --&gt;
&lt;div style=&quot;width:50.0%; float:left&quot;&gt;
* [[Wikiversity:Introduction|Introduction to Wikiversity]]
* [[Help:Guides|Take a guided tour]] and learn [[Help:Editing|how to edit]]
* [[Wikiversity:Browse|Browse]] or visit an educational level portal:&lt;br&gt;[[Portal:Pre-school Education|pre-school]] | [[Portal:Primary Education|primary]] | [[Portal:Secondary Education|secondary]] | [[Portal:Tertiary Education|tertiary]] | [[Portal:Non-formal Education|non-formal]]
* [[Wikiversity:Introduction explore|Explore]] links in left-hand navigation menu
&lt;/div&gt;
&lt;!-- The Right column --&gt;
&lt;div style=&quot;width:50.0%; float:left&quot;&gt;

* Read an [[Wikiversity:Wikiversity teachers|introduction for teachers]]
* Learn [[Help:How to write an educational resource|how to write an educational resource]]
* Find out about [[Wikiversity:Research|research]] activities
* Give [[Wikiversity:Feedback|feedback]] about your observations
* Discuss issues or ask questions at the [[Wikiversity:Colloquium|colloquium]]
&lt;/div&gt;
&lt;br clear=&quot;both&quot;/&gt;

To get started, experiment in the [[wikiversity:sandbox|sandbox]] or on [[special:mypage|your userpage]].

See you around Wikiversity! ---- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:36, 10 April 2026 (UTC)&lt;/div&gt;
&lt;!-- Template:Welcome --&gt;
{{Robelbox/close}}

==Reversion==
FYI, I've reverted [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2025%2FCortical_structures_and_motivational_drive&amp;diff=2803999&amp;oldid=2763251 this edit]. Feel free to discuss. Sincerely, James -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:38, 10 April 2026 (UTC)

FYI, I've reinstated [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2023%2FFlourishing_in_the_elderly&amp;diff=2803279&amp;oldid=2798973 this removal of a figure]. Please discuss if you think an image shouldn't be used. Sincerely, James -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:42, 10 April 2026 (UTC)

FYI, I've revered [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2024%2FLucid_dream_facilitation&amp;diff=2801417&amp;oldid=2677316 this image removal]. Please discuss before removal. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:58, 10 April 2026 (UTC)

==Disruptive editing warning==
This is a first warning for disruptive editing (edit warring, not engaging in constructive dialogue). You are out of your lane. Continue and you will be blocked on this project. Sincerely, James -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 01:06, 10 April 2026 (UTC)</text>
      <sha1>iwjvx80jke6hncqll3k69ofj8ats707</sha1>
    </revision>
    <revision>
      <id>2804024</id>
      <parentid>2804017</parentid>
      <timestamp>2026-04-10T01:20:25Z</timestamp>
      <contributor>
        <username>Jtneill</username>
        <id>10242</id>
      </contributor>
      <comment>/* Reversion */ +1</comment>
      <origin>2804024</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="4147" sha1="71yoe1q279u7hotppdj7755rx1whkl9" xml:space="preserve">==Welcome==
{{Robelbox|theme=9|title='''[[Wikiversity:Welcome|Welcome]] to [[Wikiversity:What is Wikiversity|Wikiversity]],  Dronebogus!'''|width=100%}}
&lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
You can [[Wikiversity:Contact|contact us]] with [[Wikiversity:Questions|questions]] at the [[Wikiversity:Colloquium|colloquium]] or get in touch with [[User talk:Jtneill|me personally]] if you would like some [[Help:Contents|help]].

Remember to [[Wikiversity:Signature#How to add your signature|sign]] your comments when [[Wikiversity:Who are Wikiversity participants?|participating]] in [[Wikiversity:Talk page|discussions]]. Using the signature icon [[File:OOjs UI icon signature-ltr.svg]] makes it simple.

We invite you to [[Wikiversity:Be bold|be bold]] and [[Wikiversity|assume good faith]]. Please abide by our [[Wikiversity:Civility|civility]], [[Wikiversity:Privacy policy|privacy]], and [[Foundation:Terms of Use|terms of use]] policies.

To find your way around, check out:
&lt;!-- The Left column --&gt;
&lt;div style=&quot;width:50.0%; float:left&quot;&gt;
* [[Wikiversity:Introduction|Introduction to Wikiversity]]
* [[Help:Guides|Take a guided tour]] and learn [[Help:Editing|how to edit]]
* [[Wikiversity:Browse|Browse]] or visit an educational level portal:&lt;br&gt;[[Portal:Pre-school Education|pre-school]] | [[Portal:Primary Education|primary]] | [[Portal:Secondary Education|secondary]] | [[Portal:Tertiary Education|tertiary]] | [[Portal:Non-formal Education|non-formal]]
* [[Wikiversity:Introduction explore|Explore]] links in left-hand navigation menu
&lt;/div&gt;
&lt;!-- The Right column --&gt;
&lt;div style=&quot;width:50.0%; float:left&quot;&gt;

* Read an [[Wikiversity:Wikiversity teachers|introduction for teachers]]
* Learn [[Help:How to write an educational resource|how to write an educational resource]]
* Find out about [[Wikiversity:Research|research]] activities
* Give [[Wikiversity:Feedback|feedback]] about your observations
* Discuss issues or ask questions at the [[Wikiversity:Colloquium|colloquium]]
&lt;/div&gt;
&lt;br clear=&quot;both&quot;/&gt;

To get started, experiment in the [[wikiversity:sandbox|sandbox]] or on [[special:mypage|your userpage]].

See you around Wikiversity! ---- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:36, 10 April 2026 (UTC)&lt;/div&gt;
&lt;!-- Template:Welcome --&gt;
{{Robelbox/close}}

==Reversion==
FYI, I've reverted [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2025%2FCortical_structures_and_motivational_drive&amp;diff=2803999&amp;oldid=2763251 this edit]. Feel free to discuss. Sincerely, James -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:38, 10 April 2026 (UTC)

FYI, I've reinstated [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2023%2FFlourishing_in_the_elderly&amp;diff=2803279&amp;oldid=2798973 this removal of a figure]. Please discuss if you think an image shouldn't be used. Sincerely, James -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:42, 10 April 2026 (UTC)

FYI, I've reverted [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2024%2FLucid_dream_facilitation&amp;diff=2801417&amp;oldid=2677316 this image removal]. Please discuss before removal. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:58, 10 April 2026 (UTC)

FYI, I've reverted [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2025%2FTattoo_regret&amp;diff=2798977&amp;oldid=2761836 this image removal]. Please discuss before removal. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 01:20, 10 April 2026 (UTC)

==Disruptive editing warning==
This is a first warning for disruptive editing (edit warring, not engaging in constructive dialogue). You are out of your lane. Continue and you will be blocked on this project. Sincerely, James -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 01:06, 10 April 2026 (UTC)</text>
      <sha1>71yoe1q279u7hotppdj7755rx1whkl9</sha1>
    </revision>
    <revision>
      <id>2804032</id>
      <parentid>2804024</parentid>
      <timestamp>2026-04-10T01:31:21Z</timestamp>
      <contributor>
        <username>Jtneill</username>
        <id>10242</id>
      </contributor>
      <comment>/* Reversion */ +1</comment>
      <origin>2804032</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="4599" sha1="qswgfl6hyx78rd4kvsmpb4njx5xdob6" xml:space="preserve">==Welcome==
{{Robelbox|theme=9|title='''[[Wikiversity:Welcome|Welcome]] to [[Wikiversity:What is Wikiversity|Wikiversity]],  Dronebogus!'''|width=100%}}
&lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
You can [[Wikiversity:Contact|contact us]] with [[Wikiversity:Questions|questions]] at the [[Wikiversity:Colloquium|colloquium]] or get in touch with [[User talk:Jtneill|me personally]] if you would like some [[Help:Contents|help]].

Remember to [[Wikiversity:Signature#How to add your signature|sign]] your comments when [[Wikiversity:Who are Wikiversity participants?|participating]] in [[Wikiversity:Talk page|discussions]]. Using the signature icon [[File:OOjs UI icon signature-ltr.svg]] makes it simple.

We invite you to [[Wikiversity:Be bold|be bold]] and [[Wikiversity|assume good faith]]. Please abide by our [[Wikiversity:Civility|civility]], [[Wikiversity:Privacy policy|privacy]], and [[Foundation:Terms of Use|terms of use]] policies.

To find your way around, check out:
&lt;!-- The Left column --&gt;
&lt;div style=&quot;width:50.0%; float:left&quot;&gt;
* [[Wikiversity:Introduction|Introduction to Wikiversity]]
* [[Help:Guides|Take a guided tour]] and learn [[Help:Editing|how to edit]]
* [[Wikiversity:Browse|Browse]] or visit an educational level portal:&lt;br&gt;[[Portal:Pre-school Education|pre-school]] | [[Portal:Primary Education|primary]] | [[Portal:Secondary Education|secondary]] | [[Portal:Tertiary Education|tertiary]] | [[Portal:Non-formal Education|non-formal]]
* [[Wikiversity:Introduction explore|Explore]] links in left-hand navigation menu
&lt;/div&gt;
&lt;!-- The Right column --&gt;
&lt;div style=&quot;width:50.0%; float:left&quot;&gt;

* Read an [[Wikiversity:Wikiversity teachers|introduction for teachers]]
* Learn [[Help:How to write an educational resource|how to write an educational resource]]
* Find out about [[Wikiversity:Research|research]] activities
* Give [[Wikiversity:Feedback|feedback]] about your observations
* Discuss issues or ask questions at the [[Wikiversity:Colloquium|colloquium]]
&lt;/div&gt;
&lt;br clear=&quot;both&quot;/&gt;

To get started, experiment in the [[wikiversity:sandbox|sandbox]] or on [[special:mypage|your userpage]].

See you around Wikiversity! ---- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:36, 10 April 2026 (UTC)&lt;/div&gt;
&lt;!-- Template:Welcome --&gt;
{{Robelbox/close}}

==Reversion==
FYI, I've reverted [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2025%2FCortical_structures_and_motivational_drive&amp;diff=2803999&amp;oldid=2763251 this edit]. Feel free to discuss. Sincerely, James -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:38, 10 April 2026 (UTC)

FYI, I've reinstated [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2023%2FFlourishing_in_the_elderly&amp;diff=2803279&amp;oldid=2798973 this removal of a figure]. Please discuss if you think an image shouldn't be used. Sincerely, James -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:42, 10 April 2026 (UTC)

FYI, I've reverted [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2024%2FLucid_dream_facilitation&amp;diff=2801417&amp;oldid=2677316 this image removal]. Please discuss before removal. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:58, 10 April 2026 (UTC)

FYI, I've reverted [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2025%2FTattoo_regret&amp;diff=2798977&amp;oldid=2761836 this image removal]. Please discuss before removal. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 01:20, 10 April 2026 (UTC)

FYI, I've reverted [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2025%2FSpirituality_and_mental_health&amp;diff=2798806&amp;oldid=2758870 this image removal. Please engage in constructive editng by discussing if you have concerns about an image and/or providing a better alternative image. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 01:31, 10 April 2026 (UTC)

==Disruptive editing warning==
This is a first warning for disruptive editing (edit warring, not engaging in constructive dialogue). You are out of your lane. Continue and you will be blocked on this project. Sincerely, James -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 01:06, 10 April 2026 (UTC)</text>
      <sha1>qswgfl6hyx78rd4kvsmpb4njx5xdob6</sha1>
    </revision>
    <revision>
      <id>2804059</id>
      <parentid>2804032</parentid>
      <timestamp>2026-04-10T03:29:42Z</timestamp>
      <contributor>
        <username>Jtneill</username>
        <id>10242</id>
      </contributor>
      <comment>/* Reversion */ +1</comment>
      <origin>2804059</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="4861" sha1="1f2b9log9h4hyevbtq3aodz8f31krsz" xml:space="preserve">==Welcome==
{{Robelbox|theme=9|title='''[[Wikiversity:Welcome|Welcome]] to [[Wikiversity:What is Wikiversity|Wikiversity]],  Dronebogus!'''|width=100%}}
&lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
You can [[Wikiversity:Contact|contact us]] with [[Wikiversity:Questions|questions]] at the [[Wikiversity:Colloquium|colloquium]] or get in touch with [[User talk:Jtneill|me personally]] if you would like some [[Help:Contents|help]].

Remember to [[Wikiversity:Signature#How to add your signature|sign]] your comments when [[Wikiversity:Who are Wikiversity participants?|participating]] in [[Wikiversity:Talk page|discussions]]. Using the signature icon [[File:OOjs UI icon signature-ltr.svg]] makes it simple.

We invite you to [[Wikiversity:Be bold|be bold]] and [[Wikiversity|assume good faith]]. Please abide by our [[Wikiversity:Civility|civility]], [[Wikiversity:Privacy policy|privacy]], and [[Foundation:Terms of Use|terms of use]] policies.

To find your way around, check out:
&lt;!-- The Left column --&gt;
&lt;div style=&quot;width:50.0%; float:left&quot;&gt;
* [[Wikiversity:Introduction|Introduction to Wikiversity]]
* [[Help:Guides|Take a guided tour]] and learn [[Help:Editing|how to edit]]
* [[Wikiversity:Browse|Browse]] or visit an educational level portal:&lt;br&gt;[[Portal:Pre-school Education|pre-school]] | [[Portal:Primary Education|primary]] | [[Portal:Secondary Education|secondary]] | [[Portal:Tertiary Education|tertiary]] | [[Portal:Non-formal Education|non-formal]]
* [[Wikiversity:Introduction explore|Explore]] links in left-hand navigation menu
&lt;/div&gt;
&lt;!-- The Right column --&gt;
&lt;div style=&quot;width:50.0%; float:left&quot;&gt;

* Read an [[Wikiversity:Wikiversity teachers|introduction for teachers]]
* Learn [[Help:How to write an educational resource|how to write an educational resource]]
* Find out about [[Wikiversity:Research|research]] activities
* Give [[Wikiversity:Feedback|feedback]] about your observations
* Discuss issues or ask questions at the [[Wikiversity:Colloquium|colloquium]]
&lt;/div&gt;
&lt;br clear=&quot;both&quot;/&gt;

To get started, experiment in the [[wikiversity:sandbox|sandbox]] or on [[special:mypage|your userpage]].

See you around Wikiversity! ---- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:36, 10 April 2026 (UTC)&lt;/div&gt;
&lt;!-- Template:Welcome --&gt;
{{Robelbox/close}}

==Reversion==
FYI, I've reverted [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2025%2FCortical_structures_and_motivational_drive&amp;diff=2803999&amp;oldid=2763251 this edit]. Feel free to discuss. Sincerely, James -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:38, 10 April 2026 (UTC)

FYI, I've reinstated [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2023%2FFlourishing_in_the_elderly&amp;diff=2803279&amp;oldid=2798973 this removal of a figure]. Please discuss if you think an image shouldn't be used. Sincerely, James -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:42, 10 April 2026 (UTC)

FYI, I've reverted [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2024%2FLucid_dream_facilitation&amp;diff=2801417&amp;oldid=2677316 this image removal]. Please discuss before removal. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:58, 10 April 2026 (UTC)

FYI, I've reverted [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2025%2FTattoo_regret&amp;diff=2798977&amp;oldid=2761836 this image removal]. Please discuss before removal. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 01:20, 10 April 2026 (UTC)

FYI, I've reverted [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2025%2FSpirituality_and_mental_health&amp;diff=2798806&amp;oldid=2758870 this image removal. Please engage in constructive editng by discussing if you have concerns about an image and/or providing a better alternative image. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 01:31, 10 April 2026 (UTC)

FYI, I've reverted [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2025%2FSleep_and_ego_depletion&amp;diff=2798553&amp;oldid=2758863 this image removal. Please discuss concerns or suggest a suitable alternative. 03:29, 10 April 2026 (UTC)

==Disruptive editing warning==
This is a first warning for disruptive editing (edit warring, not engaging in constructive dialogue). You are out of your lane. Continue and you will be blocked on this project. Sincerely, James -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 01:06, 10 April 2026 (UTC)</text>
      <sha1>1f2b9log9h4hyevbtq3aodz8f31krsz</sha1>
    </revision>
    <revision>
      <id>2804060</id>
      <parentid>2804059</parentid>
      <timestamp>2026-04-10T03:30:02Z</timestamp>
      <contributor>
        <username>Jtneill</username>
        <id>10242</id>
      </contributor>
      <minor />
      <comment>/* Reversion */</comment>
      <origin>2804060</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="4862" sha1="dbxsj6ui40mmaozyuvui7de0pcsgonb" xml:space="preserve">==Welcome==
{{Robelbox|theme=9|title='''[[Wikiversity:Welcome|Welcome]] to [[Wikiversity:What is Wikiversity|Wikiversity]],  Dronebogus!'''|width=100%}}
&lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
You can [[Wikiversity:Contact|contact us]] with [[Wikiversity:Questions|questions]] at the [[Wikiversity:Colloquium|colloquium]] or get in touch with [[User talk:Jtneill|me personally]] if you would like some [[Help:Contents|help]].

Remember to [[Wikiversity:Signature#How to add your signature|sign]] your comments when [[Wikiversity:Who are Wikiversity participants?|participating]] in [[Wikiversity:Talk page|discussions]]. Using the signature icon [[File:OOjs UI icon signature-ltr.svg]] makes it simple.

We invite you to [[Wikiversity:Be bold|be bold]] and [[Wikiversity|assume good faith]]. Please abide by our [[Wikiversity:Civility|civility]], [[Wikiversity:Privacy policy|privacy]], and [[Foundation:Terms of Use|terms of use]] policies.

To find your way around, check out:
&lt;!-- The Left column --&gt;
&lt;div style=&quot;width:50.0%; float:left&quot;&gt;
* [[Wikiversity:Introduction|Introduction to Wikiversity]]
* [[Help:Guides|Take a guided tour]] and learn [[Help:Editing|how to edit]]
* [[Wikiversity:Browse|Browse]] or visit an educational level portal:&lt;br&gt;[[Portal:Pre-school Education|pre-school]] | [[Portal:Primary Education|primary]] | [[Portal:Secondary Education|secondary]] | [[Portal:Tertiary Education|tertiary]] | [[Portal:Non-formal Education|non-formal]]
* [[Wikiversity:Introduction explore|Explore]] links in left-hand navigation menu
&lt;/div&gt;
&lt;!-- The Right column --&gt;
&lt;div style=&quot;width:50.0%; float:left&quot;&gt;

* Read an [[Wikiversity:Wikiversity teachers|introduction for teachers]]
* Learn [[Help:How to write an educational resource|how to write an educational resource]]
* Find out about [[Wikiversity:Research|research]] activities
* Give [[Wikiversity:Feedback|feedback]] about your observations
* Discuss issues or ask questions at the [[Wikiversity:Colloquium|colloquium]]
&lt;/div&gt;
&lt;br clear=&quot;both&quot;/&gt;

To get started, experiment in the [[wikiversity:sandbox|sandbox]] or on [[special:mypage|your userpage]].

See you around Wikiversity! ---- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:36, 10 April 2026 (UTC)&lt;/div&gt;
&lt;!-- Template:Welcome --&gt;
{{Robelbox/close}}

==Reversion==
FYI, I've reverted [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2025%2FCortical_structures_and_motivational_drive&amp;diff=2803999&amp;oldid=2763251 this edit]. Feel free to discuss. Sincerely, James -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:38, 10 April 2026 (UTC)

FYI, I've reinstated [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2023%2FFlourishing_in_the_elderly&amp;diff=2803279&amp;oldid=2798973 this removal of a figure]. Please discuss if you think an image shouldn't be used. Sincerely, James -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:42, 10 April 2026 (UTC)

FYI, I've reverted [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2024%2FLucid_dream_facilitation&amp;diff=2801417&amp;oldid=2677316 this image removal]. Please discuss before removal. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:58, 10 April 2026 (UTC)

FYI, I've reverted [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2025%2FTattoo_regret&amp;diff=2798977&amp;oldid=2761836 this image removal]. Please discuss before removal. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 01:20, 10 April 2026 (UTC)

FYI, I've reverted [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2025%2FSpirituality_and_mental_health&amp;diff=2798806&amp;oldid=2758870 this image removal. Please engage in constructive editng by discussing if you have concerns about an image and/or providing a better alternative image. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 01:31, 10 April 2026 (UTC)

FYI, I've reverted [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2025%2FSleep_and_ego_depletion&amp;diff=2798553&amp;oldid=2758863 this image removal]. Please discuss concerns or suggest a suitable alternative. 03:29, 10 April 2026 (UTC)

==Disruptive editing warning==
This is a first warning for disruptive editing (edit warring, not engaging in constructive dialogue). You are out of your lane. Continue and you will be blocked on this project. Sincerely, James -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 01:06, 10 April 2026 (UTC)</text>
      <sha1>dbxsj6ui40mmaozyuvui7de0pcsgonb</sha1>
    </revision>
    <revision>
      <id>2804061</id>
      <parentid>2804060</parentid>
      <timestamp>2026-04-10T03:30:23Z</timestamp>
      <contributor>
        <username>Jtneill</username>
        <id>10242</id>
      </contributor>
      <minor />
      <comment>/* Reversion */</comment>
      <origin>2804061</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="4972" sha1="6fvzwj616f0v249y5ayu2ghl9jwlppa" xml:space="preserve">==Welcome==
{{Robelbox|theme=9|title='''[[Wikiversity:Welcome|Welcome]] to [[Wikiversity:What is Wikiversity|Wikiversity]],  Dronebogus!'''|width=100%}}
&lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
You can [[Wikiversity:Contact|contact us]] with [[Wikiversity:Questions|questions]] at the [[Wikiversity:Colloquium|colloquium]] or get in touch with [[User talk:Jtneill|me personally]] if you would like some [[Help:Contents|help]].

Remember to [[Wikiversity:Signature#How to add your signature|sign]] your comments when [[Wikiversity:Who are Wikiversity participants?|participating]] in [[Wikiversity:Talk page|discussions]]. Using the signature icon [[File:OOjs UI icon signature-ltr.svg]] makes it simple.

We invite you to [[Wikiversity:Be bold|be bold]] and [[Wikiversity|assume good faith]]. Please abide by our [[Wikiversity:Civility|civility]], [[Wikiversity:Privacy policy|privacy]], and [[Foundation:Terms of Use|terms of use]] policies.

To find your way around, check out:
&lt;!-- The Left column --&gt;
&lt;div style=&quot;width:50.0%; float:left&quot;&gt;
* [[Wikiversity:Introduction|Introduction to Wikiversity]]
* [[Help:Guides|Take a guided tour]] and learn [[Help:Editing|how to edit]]
* [[Wikiversity:Browse|Browse]] or visit an educational level portal:&lt;br&gt;[[Portal:Pre-school Education|pre-school]] | [[Portal:Primary Education|primary]] | [[Portal:Secondary Education|secondary]] | [[Portal:Tertiary Education|tertiary]] | [[Portal:Non-formal Education|non-formal]]
* [[Wikiversity:Introduction explore|Explore]] links in left-hand navigation menu
&lt;/div&gt;
&lt;!-- The Right column --&gt;
&lt;div style=&quot;width:50.0%; float:left&quot;&gt;

* Read an [[Wikiversity:Wikiversity teachers|introduction for teachers]]
* Learn [[Help:How to write an educational resource|how to write an educational resource]]
* Find out about [[Wikiversity:Research|research]] activities
* Give [[Wikiversity:Feedback|feedback]] about your observations
* Discuss issues or ask questions at the [[Wikiversity:Colloquium|colloquium]]
&lt;/div&gt;
&lt;br clear=&quot;both&quot;/&gt;

To get started, experiment in the [[wikiversity:sandbox|sandbox]] or on [[special:mypage|your userpage]].

See you around Wikiversity! ---- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:36, 10 April 2026 (UTC)&lt;/div&gt;
&lt;!-- Template:Welcome --&gt;
{{Robelbox/close}}

==Reversion==
FYI, I've reverted [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2025%2FCortical_structures_and_motivational_drive&amp;diff=2803999&amp;oldid=2763251 this edit]. Feel free to discuss. Sincerely, James -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:38, 10 April 2026 (UTC)

FYI, I've reinstated [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2023%2FFlourishing_in_the_elderly&amp;diff=2803279&amp;oldid=2798973 this removal of a figure]. Please discuss if you think an image shouldn't be used. Sincerely, James -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:42, 10 April 2026 (UTC)

FYI, I've reverted [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2024%2FLucid_dream_facilitation&amp;diff=2801417&amp;oldid=2677316 this image removal]. Please discuss before removal. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:58, 10 April 2026 (UTC)

FYI, I've reverted [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2025%2FTattoo_regret&amp;diff=2798977&amp;oldid=2761836 this image removal]. Please discuss before removal. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 01:20, 10 April 2026 (UTC)

FYI, I've reverted [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2025%2FSpirituality_and_mental_health&amp;diff=2798806&amp;oldid=2758870 this image removal. Please engage in constructive editng by discussing if you have concerns about an image and/or providing a better alternative image. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 01:31, 10 April 2026 (UTC)

FYI, I've reverted [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2025%2FSleep_and_ego_depletion&amp;diff=2798553&amp;oldid=2758863 this image removal]. Please discuss concerns or suggest a suitable alternative. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 03:30, 10 April 2026 (UTC)

==Disruptive editing warning==
This is a first warning for disruptive editing (edit warring, not engaging in constructive dialogue). You are out of your lane. Continue and you will be blocked on this project. Sincerely, James -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 01:06, 10 April 2026 (UTC)</text>
      <sha1>6fvzwj616f0v249y5ayu2ghl9jwlppa</sha1>
    </revision>
    <revision>
      <id>2804062</id>
      <parentid>2804061</parentid>
      <timestamp>2026-04-10T03:30:54Z</timestamp>
      <contributor>
        <username>Jtneill</username>
        <id>10242</id>
      </contributor>
      <minor />
      <comment>/* Reversion */</comment>
      <origin>2804062</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="4973" sha1="jajeu17l9sk204yv5fjto9mu7cw4sml" xml:space="preserve">==Welcome==
{{Robelbox|theme=9|title='''[[Wikiversity:Welcome|Welcome]] to [[Wikiversity:What is Wikiversity|Wikiversity]],  Dronebogus!'''|width=100%}}
&lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
You can [[Wikiversity:Contact|contact us]] with [[Wikiversity:Questions|questions]] at the [[Wikiversity:Colloquium|colloquium]] or get in touch with [[User talk:Jtneill|me personally]] if you would like some [[Help:Contents|help]].

Remember to [[Wikiversity:Signature#How to add your signature|sign]] your comments when [[Wikiversity:Who are Wikiversity participants?|participating]] in [[Wikiversity:Talk page|discussions]]. Using the signature icon [[File:OOjs UI icon signature-ltr.svg]] makes it simple.

We invite you to [[Wikiversity:Be bold|be bold]] and [[Wikiversity|assume good faith]]. Please abide by our [[Wikiversity:Civility|civility]], [[Wikiversity:Privacy policy|privacy]], and [[Foundation:Terms of Use|terms of use]] policies.

To find your way around, check out:
&lt;!-- The Left column --&gt;
&lt;div style=&quot;width:50.0%; float:left&quot;&gt;
* [[Wikiversity:Introduction|Introduction to Wikiversity]]
* [[Help:Guides|Take a guided tour]] and learn [[Help:Editing|how to edit]]
* [[Wikiversity:Browse|Browse]] or visit an educational level portal:&lt;br&gt;[[Portal:Pre-school Education|pre-school]] | [[Portal:Primary Education|primary]] | [[Portal:Secondary Education|secondary]] | [[Portal:Tertiary Education|tertiary]] | [[Portal:Non-formal Education|non-formal]]
* [[Wikiversity:Introduction explore|Explore]] links in left-hand navigation menu
&lt;/div&gt;
&lt;!-- The Right column --&gt;
&lt;div style=&quot;width:50.0%; float:left&quot;&gt;

* Read an [[Wikiversity:Wikiversity teachers|introduction for teachers]]
* Learn [[Help:How to write an educational resource|how to write an educational resource]]
* Find out about [[Wikiversity:Research|research]] activities
* Give [[Wikiversity:Feedback|feedback]] about your observations
* Discuss issues or ask questions at the [[Wikiversity:Colloquium|colloquium]]
&lt;/div&gt;
&lt;br clear=&quot;both&quot;/&gt;

To get started, experiment in the [[wikiversity:sandbox|sandbox]] or on [[special:mypage|your userpage]].

See you around Wikiversity! ---- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:36, 10 April 2026 (UTC)&lt;/div&gt;
&lt;!-- Template:Welcome --&gt;
{{Robelbox/close}}

==Reversion==
FYI, I've reverted [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2025%2FCortical_structures_and_motivational_drive&amp;diff=2803999&amp;oldid=2763251 this edit]. Feel free to discuss. Sincerely, James -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:38, 10 April 2026 (UTC)

FYI, I've reinstated [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2023%2FFlourishing_in_the_elderly&amp;diff=2803279&amp;oldid=2798973 this removal of a figure]. Please discuss if you think an image shouldn't be used. Sincerely, James -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:42, 10 April 2026 (UTC)

FYI, I've reverted [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2024%2FLucid_dream_facilitation&amp;diff=2801417&amp;oldid=2677316 this image removal]. Please discuss before removal. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:58, 10 April 2026 (UTC)

FYI, I've reverted [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2025%2FTattoo_regret&amp;diff=2798977&amp;oldid=2761836 this image removal]. Please discuss before removal. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 01:20, 10 April 2026 (UTC)

FYI, I've reverted [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2025%2FSpirituality_and_mental_health&amp;diff=2798806&amp;oldid=2758870 this image removal]. Please engage in constructive editng by discussing if you have concerns about an image and/or providing a better alternative image. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 01:31, 10 April 2026 (UTC)

FYI, I've reverted [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2025%2FSleep_and_ego_depletion&amp;diff=2798553&amp;oldid=2758863 this image removal]. Please discuss concerns or suggest a suitable alternative. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 03:30, 10 April 2026 (UTC)

==Disruptive editing warning==
This is a first warning for disruptive editing (edit warring, not engaging in constructive dialogue). You are out of your lane. Continue and you will be blocked on this project. Sincerely, James -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 01:06, 10 April 2026 (UTC)</text>
      <sha1>jajeu17l9sk204yv5fjto9mu7cw4sml</sha1>
    </revision>
    <revision>
      <id>2804064</id>
      <parentid>2804062</parentid>
      <timestamp>2026-04-10T03:35:40Z</timestamp>
      <contributor>
        <username>Jtneill</username>
        <id>10242</id>
      </contributor>
      <comment>/* Reversion */ +1</comment>
      <origin>2804064</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="5323" sha1="jylsqmdfh8gx8p7wtyab4c7hgufdn2q" xml:space="preserve">==Welcome==
{{Robelbox|theme=9|title='''[[Wikiversity:Welcome|Welcome]] to [[Wikiversity:What is Wikiversity|Wikiversity]],  Dronebogus!'''|width=100%}}
&lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
You can [[Wikiversity:Contact|contact us]] with [[Wikiversity:Questions|questions]] at the [[Wikiversity:Colloquium|colloquium]] or get in touch with [[User talk:Jtneill|me personally]] if you would like some [[Help:Contents|help]].

Remember to [[Wikiversity:Signature#How to add your signature|sign]] your comments when [[Wikiversity:Who are Wikiversity participants?|participating]] in [[Wikiversity:Talk page|discussions]]. Using the signature icon [[File:OOjs UI icon signature-ltr.svg]] makes it simple.

We invite you to [[Wikiversity:Be bold|be bold]] and [[Wikiversity|assume good faith]]. Please abide by our [[Wikiversity:Civility|civility]], [[Wikiversity:Privacy policy|privacy]], and [[Foundation:Terms of Use|terms of use]] policies.

To find your way around, check out:
&lt;!-- The Left column --&gt;
&lt;div style=&quot;width:50.0%; float:left&quot;&gt;
* [[Wikiversity:Introduction|Introduction to Wikiversity]]
* [[Help:Guides|Take a guided tour]] and learn [[Help:Editing|how to edit]]
* [[Wikiversity:Browse|Browse]] or visit an educational level portal:&lt;br&gt;[[Portal:Pre-school Education|pre-school]] | [[Portal:Primary Education|primary]] | [[Portal:Secondary Education|secondary]] | [[Portal:Tertiary Education|tertiary]] | [[Portal:Non-formal Education|non-formal]]
* [[Wikiversity:Introduction explore|Explore]] links in left-hand navigation menu
&lt;/div&gt;
&lt;!-- The Right column --&gt;
&lt;div style=&quot;width:50.0%; float:left&quot;&gt;

* Read an [[Wikiversity:Wikiversity teachers|introduction for teachers]]
* Learn [[Help:How to write an educational resource|how to write an educational resource]]
* Find out about [[Wikiversity:Research|research]] activities
* Give [[Wikiversity:Feedback|feedback]] about your observations
* Discuss issues or ask questions at the [[Wikiversity:Colloquium|colloquium]]
&lt;/div&gt;
&lt;br clear=&quot;both&quot;/&gt;

To get started, experiment in the [[wikiversity:sandbox|sandbox]] or on [[special:mypage|your userpage]].

See you around Wikiversity! ---- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:36, 10 April 2026 (UTC)&lt;/div&gt;
&lt;!-- Template:Welcome --&gt;
{{Robelbox/close}}

==Reversion==
FYI, I've reverted [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2025%2FCortical_structures_and_motivational_drive&amp;diff=2803999&amp;oldid=2763251 this edit]. Feel free to discuss. Sincerely, James -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:38, 10 April 2026 (UTC)

FYI, I've reinstated [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2023%2FFlourishing_in_the_elderly&amp;diff=2803279&amp;oldid=2798973 this removal of a figure]. Please discuss if you think an image shouldn't be used. Sincerely, James -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:42, 10 April 2026 (UTC)

FYI, I've reverted [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2024%2FLucid_dream_facilitation&amp;diff=2801417&amp;oldid=2677316 this image removal]. Please discuss before removal. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:58, 10 April 2026 (UTC)

FYI, I've reverted [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2025%2FTattoo_regret&amp;diff=2798977&amp;oldid=2761836 this image removal]. Please discuss before removal. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 01:20, 10 April 2026 (UTC)

FYI, I've reverted [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2025%2FSpirituality_and_mental_health&amp;diff=2798806&amp;oldid=2758870 this image removal]. Please engage in constructive editng by discussing if you have concerns about an image and/or providing a better alternative image. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 01:31, 10 April 2026 (UTC)

FYI, I've reverted [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2025%2FSleep_and_ego_depletion&amp;diff=2798553&amp;oldid=2758863 this image removal]. Please discuss concerns or suggest a suitable alternative. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 03:30, 10 April 2026 (UTC)

FYI, I've reverted [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2024%2FAyahuasca_and_the_brain&amp;diff=2796791&amp;oldid=2688733 this image removal'. Discuss and/or provide alternative. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 03:35, 10 April 2026 (UTC)

==Disruptive editing warning==
This is a first warning for disruptive editing (edit warring, not engaging in constructive dialogue). You are out of your lane. Continue and you will be blocked on this project. Sincerely, James -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 01:06, 10 April 2026 (UTC)</text>
      <sha1>jylsqmdfh8gx8p7wtyab4c7hgufdn2q</sha1>
    </revision>
    <revision>
      <id>2804065</id>
      <parentid>2804064</parentid>
      <timestamp>2026-04-10T03:36:02Z</timestamp>
      <contributor>
        <username>Jtneill</username>
        <id>10242</id>
      </contributor>
      <minor />
      <comment>/* Reversion */</comment>
      <origin>2804065</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="5323" sha1="2tb7gtvfgj8rdx3onuwhqts0sylhe7y" xml:space="preserve">==Welcome==
{{Robelbox|theme=9|title='''[[Wikiversity:Welcome|Welcome]] to [[Wikiversity:What is Wikiversity|Wikiversity]],  Dronebogus!'''|width=100%}}
&lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
You can [[Wikiversity:Contact|contact us]] with [[Wikiversity:Questions|questions]] at the [[Wikiversity:Colloquium|colloquium]] or get in touch with [[User talk:Jtneill|me personally]] if you would like some [[Help:Contents|help]].

Remember to [[Wikiversity:Signature#How to add your signature|sign]] your comments when [[Wikiversity:Who are Wikiversity participants?|participating]] in [[Wikiversity:Talk page|discussions]]. Using the signature icon [[File:OOjs UI icon signature-ltr.svg]] makes it simple.

We invite you to [[Wikiversity:Be bold|be bold]] and [[Wikiversity|assume good faith]]. Please abide by our [[Wikiversity:Civility|civility]], [[Wikiversity:Privacy policy|privacy]], and [[Foundation:Terms of Use|terms of use]] policies.

To find your way around, check out:
&lt;!-- The Left column --&gt;
&lt;div style=&quot;width:50.0%; float:left&quot;&gt;
* [[Wikiversity:Introduction|Introduction to Wikiversity]]
* [[Help:Guides|Take a guided tour]] and learn [[Help:Editing|how to edit]]
* [[Wikiversity:Browse|Browse]] or visit an educational level portal:&lt;br&gt;[[Portal:Pre-school Education|pre-school]] | [[Portal:Primary Education|primary]] | [[Portal:Secondary Education|secondary]] | [[Portal:Tertiary Education|tertiary]] | [[Portal:Non-formal Education|non-formal]]
* [[Wikiversity:Introduction explore|Explore]] links in left-hand navigation menu
&lt;/div&gt;
&lt;!-- The Right column --&gt;
&lt;div style=&quot;width:50.0%; float:left&quot;&gt;

* Read an [[Wikiversity:Wikiversity teachers|introduction for teachers]]
* Learn [[Help:How to write an educational resource|how to write an educational resource]]
* Find out about [[Wikiversity:Research|research]] activities
* Give [[Wikiversity:Feedback|feedback]] about your observations
* Discuss issues or ask questions at the [[Wikiversity:Colloquium|colloquium]]
&lt;/div&gt;
&lt;br clear=&quot;both&quot;/&gt;

To get started, experiment in the [[wikiversity:sandbox|sandbox]] or on [[special:mypage|your userpage]].

See you around Wikiversity! ---- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:36, 10 April 2026 (UTC)&lt;/div&gt;
&lt;!-- Template:Welcome --&gt;
{{Robelbox/close}}

==Reversion==
FYI, I've reverted [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2025%2FCortical_structures_and_motivational_drive&amp;diff=2803999&amp;oldid=2763251 this edit]. Feel free to discuss. Sincerely, James -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:38, 10 April 2026 (UTC)

FYI, I've reinstated [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2023%2FFlourishing_in_the_elderly&amp;diff=2803279&amp;oldid=2798973 this removal of a figure]. Please discuss if you think an image shouldn't be used. Sincerely, James -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:42, 10 April 2026 (UTC)

FYI, I've reverted [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2024%2FLucid_dream_facilitation&amp;diff=2801417&amp;oldid=2677316 this image removal]. Please discuss before removal. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:58, 10 April 2026 (UTC)

FYI, I've reverted [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2025%2FTattoo_regret&amp;diff=2798977&amp;oldid=2761836 this image removal]. Please discuss before removal. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 01:20, 10 April 2026 (UTC)

FYI, I've reverted [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2025%2FSpirituality_and_mental_health&amp;diff=2798806&amp;oldid=2758870 this image removal]. Please engage in constructive editng by discussing if you have concerns about an image and/or providing a better alternative image. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 01:31, 10 April 2026 (UTC)

FYI, I've reverted [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2025%2FSleep_and_ego_depletion&amp;diff=2798553&amp;oldid=2758863 this image removal]. Please discuss concerns or suggest a suitable alternative. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 03:30, 10 April 2026 (UTC)

FYI, I've reverted [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2024%2FAyahuasca_and_the_brain&amp;diff=2796791&amp;oldid=2688733 this image removal]. Discuss and/or provide alternative. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 03:35, 10 April 2026 (UTC)

==Disruptive editing warning==
This is a first warning for disruptive editing (edit warring, not engaging in constructive dialogue). You are out of your lane. Continue and you will be blocked on this project. Sincerely, James -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 01:06, 10 April 2026 (UTC)</text>
      <sha1>2tb7gtvfgj8rdx3onuwhqts0sylhe7y</sha1>
    </revision>
    <revision>
      <id>2804070</id>
      <parentid>2804065</parentid>
      <timestamp>2026-04-10T03:51:49Z</timestamp>
      <contributor>
        <username>Jtneill</username>
        <id>10242</id>
      </contributor>
      <comment>/* Reversion */ +1</comment>
      <origin>2804070</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="5693" sha1="4ok6ej1lho0a6xhfhgpndrt41j8mvly" xml:space="preserve">==Welcome==
{{Robelbox|theme=9|title='''[[Wikiversity:Welcome|Welcome]] to [[Wikiversity:What is Wikiversity|Wikiversity]],  Dronebogus!'''|width=100%}}
&lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
You can [[Wikiversity:Contact|contact us]] with [[Wikiversity:Questions|questions]] at the [[Wikiversity:Colloquium|colloquium]] or get in touch with [[User talk:Jtneill|me personally]] if you would like some [[Help:Contents|help]].

Remember to [[Wikiversity:Signature#How to add your signature|sign]] your comments when [[Wikiversity:Who are Wikiversity participants?|participating]] in [[Wikiversity:Talk page|discussions]]. Using the signature icon [[File:OOjs UI icon signature-ltr.svg]] makes it simple.

We invite you to [[Wikiversity:Be bold|be bold]] and [[Wikiversity|assume good faith]]. Please abide by our [[Wikiversity:Civility|civility]], [[Wikiversity:Privacy policy|privacy]], and [[Foundation:Terms of Use|terms of use]] policies.

To find your way around, check out:
&lt;!-- The Left column --&gt;
&lt;div style=&quot;width:50.0%; float:left&quot;&gt;
* [[Wikiversity:Introduction|Introduction to Wikiversity]]
* [[Help:Guides|Take a guided tour]] and learn [[Help:Editing|how to edit]]
* [[Wikiversity:Browse|Browse]] or visit an educational level portal:&lt;br&gt;[[Portal:Pre-school Education|pre-school]] | [[Portal:Primary Education|primary]] | [[Portal:Secondary Education|secondary]] | [[Portal:Tertiary Education|tertiary]] | [[Portal:Non-formal Education|non-formal]]
* [[Wikiversity:Introduction explore|Explore]] links in left-hand navigation menu
&lt;/div&gt;
&lt;!-- The Right column --&gt;
&lt;div style=&quot;width:50.0%; float:left&quot;&gt;

* Read an [[Wikiversity:Wikiversity teachers|introduction for teachers]]
* Learn [[Help:How to write an educational resource|how to write an educational resource]]
* Find out about [[Wikiversity:Research|research]] activities
* Give [[Wikiversity:Feedback|feedback]] about your observations
* Discuss issues or ask questions at the [[Wikiversity:Colloquium|colloquium]]
&lt;/div&gt;
&lt;br clear=&quot;both&quot;/&gt;

To get started, experiment in the [[wikiversity:sandbox|sandbox]] or on [[special:mypage|your userpage]].

See you around Wikiversity! ---- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:36, 10 April 2026 (UTC)&lt;/div&gt;
&lt;!-- Template:Welcome --&gt;
{{Robelbox/close}}

==Reversion==
FYI, I've reverted [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2025%2FCortical_structures_and_motivational_drive&amp;diff=2803999&amp;oldid=2763251 this edit]. Feel free to discuss. Sincerely, James -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:38, 10 April 2026 (UTC)

FYI, I've reinstated [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2023%2FFlourishing_in_the_elderly&amp;diff=2803279&amp;oldid=2798973 this removal of a figure]. Please discuss if you think an image shouldn't be used. Sincerely, James -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:42, 10 April 2026 (UTC)

FYI, I've reverted [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2024%2FLucid_dream_facilitation&amp;diff=2801417&amp;oldid=2677316 this image removal]. Please discuss before removal. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 00:58, 10 April 2026 (UTC)

FYI, I've reverted [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2025%2FTattoo_regret&amp;diff=2798977&amp;oldid=2761836 this image removal]. Please discuss before removal. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 01:20, 10 April 2026 (UTC)

FYI, I've reverted [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2025%2FSpirituality_and_mental_health&amp;diff=2798806&amp;oldid=2758870 this image removal]. Please engage in constructive editng by discussing if you have concerns about an image and/or providing a better alternative image. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 01:31, 10 April 2026 (UTC)

FYI, I've reverted [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2025%2FSleep_and_ego_depletion&amp;diff=2798553&amp;oldid=2758863 this image removal]. Please discuss concerns or suggest a suitable alternative. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 03:30, 10 April 2026 (UTC)

FYI, I've reverted [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2024%2FAyahuasca_and_the_brain&amp;diff=2796791&amp;oldid=2688733 this image removal]. Discuss and/or provide alternative. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 03:35, 10 April 2026 (UTC)

FYI, I've reverted [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2025%2FBoredom_and_substance_use&amp;diff=2795132&amp;oldid=2758605 this image removal]]. No edit summary. Discuss and/or provide alternative. -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 03:51, 10 April 2026 (UTC)

==Disruptive editing warning==
This is a first warning for disruptive editing (edit warring, not engaging in constructive dialogue). You are out of your lane. Continue and you will be blocked on this project. Sincerely, James -- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 01:06, 10 April 2026 (UTC)</text>
      <sha1>4ok6ej1lho0a6xhfhgpndrt41j8mvly</sha1>
    </revision>
  </page>
  <page>
    <title>User talk:Erik Baas</title>
    <ns>3</ns>
    <id>328991</id>
    <revision>
      <id>2804074</id>
      <timestamp>2026-04-10T03:59:23Z</timestamp>
      <contributor>
        <username>Jtneill</username>
        <id>10242</id>
      </contributor>
      <comment>Welcome</comment>
      <origin>2804074</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="2326" sha1="eqwoyinf04cgmdy3ifl5sbvb02pblrx" xml:space="preserve">==Welcome==
{{Robelbox|theme=9|title='''[[Wikiversity:Welcome|Welcome]] to [[Wikiversity:What is Wikiversity|Wikiversity]],  Erik Baas!'''|width=100%}}
&lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
You can [[Wikiversity:Contact|contact us]] with [[Wikiversity:Questions|questions]] at the [[Wikiversity:Colloquium|colloquium]] or get in touch with [[User talk:Jtneill|me personally]] if you would like some [[Help:Contents|help]].

Remember to [[Wikiversity:Signature#How to add your signature|sign]] your comments when [[Wikiversity:Who are Wikiversity participants?|participating]] in [[Wikiversity:Talk page|discussions]]. Using the signature icon [[File:OOjs UI icon signature-ltr.svg]] makes it simple.

We invite you to [[Wikiversity:Be bold|be bold]] and [[Wikiversity|assume good faith]]. Please abide by our [[Wikiversity:Civility|civility]], [[Wikiversity:Privacy policy|privacy]], and [[Foundation:Terms of Use|terms of use]] policies.

To find your way around, check out:
&lt;!-- The Left column --&gt;
&lt;div style=&quot;width:50.0%; float:left&quot;&gt;
* [[Wikiversity:Introduction|Introduction to Wikiversity]]
* [[Help:Guides|Take a guided tour]] and learn [[Help:Editing|how to edit]]
* [[Wikiversity:Browse|Browse]] or visit an educational level portal:&lt;br&gt;[[Portal:Pre-school Education|pre-school]] | [[Portal:Primary Education|primary]] | [[Portal:Secondary Education|secondary]] | [[Portal:Tertiary Education|tertiary]] | [[Portal:Non-formal Education|non-formal]]
* [[Wikiversity:Introduction explore|Explore]] links in left-hand navigation menu
&lt;/div&gt;
&lt;!-- The Right column --&gt;
&lt;div style=&quot;width:50.0%; float:left&quot;&gt;

* Read an [[Wikiversity:Wikiversity teachers|introduction for teachers]]
* Learn [[Help:How to write an educational resource|how to write an educational resource]]
* Find out about [[Wikiversity:Research|research]] activities
* Give [[Wikiversity:Feedback|feedback]] about your observations
* Discuss issues or ask questions at the [[Wikiversity:Colloquium|colloquium]]
&lt;/div&gt;
&lt;br clear=&quot;both&quot;/&gt;

To get started, experiment in the [[wikiversity:sandbox|sandbox]] or on [[special:mypage|your userpage]].

See you around Wikiversity! ---- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 03:59, 10 April 2026 (UTC)&lt;/div&gt;
&lt;!-- Template:Welcome --&gt;
{{Robelbox/close}}</text>
      <sha1>eqwoyinf04cgmdy3ifl5sbvb02pblrx</sha1>
    </revision>
  </page>
  <page>
    <title>User talk:The Squirrel Conspiracy</title>
    <ns>3</ns>
    <id>328992</id>
    <revision>
      <id>2804075</id>
      <timestamp>2026-04-10T03:59:30Z</timestamp>
      <contributor>
        <username>Jtneill</username>
        <id>10242</id>
      </contributor>
      <comment>Welcome</comment>
      <origin>2804075</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="2340" sha1="jlubfd02z00zirabmjqgmu96atgofdk" xml:space="preserve">==Welcome==
{{Robelbox|theme=9|title='''[[Wikiversity:Welcome|Welcome]] to [[Wikiversity:What is Wikiversity|Wikiversity]],  The Squirrel Conspiracy!'''|width=100%}}
&lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
You can [[Wikiversity:Contact|contact us]] with [[Wikiversity:Questions|questions]] at the [[Wikiversity:Colloquium|colloquium]] or get in touch with [[User talk:Jtneill|me personally]] if you would like some [[Help:Contents|help]].

Remember to [[Wikiversity:Signature#How to add your signature|sign]] your comments when [[Wikiversity:Who are Wikiversity participants?|participating]] in [[Wikiversity:Talk page|discussions]]. Using the signature icon [[File:OOjs UI icon signature-ltr.svg]] makes it simple.

We invite you to [[Wikiversity:Be bold|be bold]] and [[Wikiversity|assume good faith]]. Please abide by our [[Wikiversity:Civility|civility]], [[Wikiversity:Privacy policy|privacy]], and [[Foundation:Terms of Use|terms of use]] policies.

To find your way around, check out:
&lt;!-- The Left column --&gt;
&lt;div style=&quot;width:50.0%; float:left&quot;&gt;
* [[Wikiversity:Introduction|Introduction to Wikiversity]]
* [[Help:Guides|Take a guided tour]] and learn [[Help:Editing|how to edit]]
* [[Wikiversity:Browse|Browse]] or visit an educational level portal:&lt;br&gt;[[Portal:Pre-school Education|pre-school]] | [[Portal:Primary Education|primary]] | [[Portal:Secondary Education|secondary]] | [[Portal:Tertiary Education|tertiary]] | [[Portal:Non-formal Education|non-formal]]
* [[Wikiversity:Introduction explore|Explore]] links in left-hand navigation menu
&lt;/div&gt;
&lt;!-- The Right column --&gt;
&lt;div style=&quot;width:50.0%; float:left&quot;&gt;

* Read an [[Wikiversity:Wikiversity teachers|introduction for teachers]]
* Learn [[Help:How to write an educational resource|how to write an educational resource]]
* Find out about [[Wikiversity:Research|research]] activities
* Give [[Wikiversity:Feedback|feedback]] about your observations
* Discuss issues or ask questions at the [[Wikiversity:Colloquium|colloquium]]
&lt;/div&gt;
&lt;br clear=&quot;both&quot;/&gt;

To get started, experiment in the [[wikiversity:sandbox|sandbox]] or on [[special:mypage|your userpage]].

See you around Wikiversity! ---- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 03:59, 10 April 2026 (UTC)&lt;/div&gt;
&lt;!-- Template:Welcome --&gt;
{{Robelbox/close}}</text>
      <sha1>jlubfd02z00zirabmjqgmu96atgofdk</sha1>
    </revision>
  </page>
  <page>
    <title>User talk:IronGargoyle</title>
    <ns>3</ns>
    <id>328993</id>
    <revision>
      <id>2804076</id>
      <timestamp>2026-04-10T03:59:38Z</timestamp>
      <contributor>
        <username>Jtneill</username>
        <id>10242</id>
      </contributor>
      <comment>Welcome</comment>
      <origin>2804076</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="2329" sha1="419hqlb7sucw3f32fensyrzmsgumzgz" xml:space="preserve">==Welcome==
{{Robelbox|theme=9|title='''[[Wikiversity:Welcome|Welcome]] to [[Wikiversity:What is Wikiversity|Wikiversity]],  IronGargoyle!'''|width=100%}}
&lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
You can [[Wikiversity:Contact|contact us]] with [[Wikiversity:Questions|questions]] at the [[Wikiversity:Colloquium|colloquium]] or get in touch with [[User talk:Jtneill|me personally]] if you would like some [[Help:Contents|help]].

Remember to [[Wikiversity:Signature#How to add your signature|sign]] your comments when [[Wikiversity:Who are Wikiversity participants?|participating]] in [[Wikiversity:Talk page|discussions]]. Using the signature icon [[File:OOjs UI icon signature-ltr.svg]] makes it simple.

We invite you to [[Wikiversity:Be bold|be bold]] and [[Wikiversity|assume good faith]]. Please abide by our [[Wikiversity:Civility|civility]], [[Wikiversity:Privacy policy|privacy]], and [[Foundation:Terms of Use|terms of use]] policies.

To find your way around, check out:
&lt;!-- The Left column --&gt;
&lt;div style=&quot;width:50.0%; float:left&quot;&gt;
* [[Wikiversity:Introduction|Introduction to Wikiversity]]
* [[Help:Guides|Take a guided tour]] and learn [[Help:Editing|how to edit]]
* [[Wikiversity:Browse|Browse]] or visit an educational level portal:&lt;br&gt;[[Portal:Pre-school Education|pre-school]] | [[Portal:Primary Education|primary]] | [[Portal:Secondary Education|secondary]] | [[Portal:Tertiary Education|tertiary]] | [[Portal:Non-formal Education|non-formal]]
* [[Wikiversity:Introduction explore|Explore]] links in left-hand navigation menu
&lt;/div&gt;
&lt;!-- The Right column --&gt;
&lt;div style=&quot;width:50.0%; float:left&quot;&gt;

* Read an [[Wikiversity:Wikiversity teachers|introduction for teachers]]
* Learn [[Help:How to write an educational resource|how to write an educational resource]]
* Find out about [[Wikiversity:Research|research]] activities
* Give [[Wikiversity:Feedback|feedback]] about your observations
* Discuss issues or ask questions at the [[Wikiversity:Colloquium|colloquium]]
&lt;/div&gt;
&lt;br clear=&quot;both&quot;/&gt;

To get started, experiment in the [[wikiversity:sandbox|sandbox]] or on [[special:mypage|your userpage]].

See you around Wikiversity! ---- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 03:59, 10 April 2026 (UTC)&lt;/div&gt;
&lt;!-- Template:Welcome --&gt;
{{Robelbox/close}}</text>
      <sha1>419hqlb7sucw3f32fensyrzmsgumzgz</sha1>
    </revision>
    <revision>
      <id>2804102</id>
      <parentid>2804076</parentid>
      <timestamp>2026-04-10T05:29:14Z</timestamp>
      <contributor>
        <username>Jtneill</username>
        <id>10242</id>
      </contributor>
      <comment>Suggestion</comment>
      <origin>2804102</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="2657" sha1="chyuqjp0kf1vu76mdy01m6xxrgt5lom" xml:space="preserve">==Welcome==
{{Robelbox|theme=9|title='''[[Wikiversity:Welcome|Welcome]] to [[Wikiversity:What is Wikiversity|Wikiversity]],  IronGargoyle!'''|width=100%}}
&lt;div style=&quot;{{Robelbox/pad}}&quot;&gt;
You can [[Wikiversity:Contact|contact us]] with [[Wikiversity:Questions|questions]] at the [[Wikiversity:Colloquium|colloquium]] or get in touch with [[User talk:Jtneill|me personally]] if you would like some [[Help:Contents|help]].

Remember to [[Wikiversity:Signature#How to add your signature|sign]] your comments when [[Wikiversity:Who are Wikiversity participants?|participating]] in [[Wikiversity:Talk page|discussions]]. Using the signature icon [[File:OOjs UI icon signature-ltr.svg]] makes it simple.

We invite you to [[Wikiversity:Be bold|be bold]] and [[Wikiversity|assume good faith]]. Please abide by our [[Wikiversity:Civility|civility]], [[Wikiversity:Privacy policy|privacy]], and [[Foundation:Terms of Use|terms of use]] policies.

To find your way around, check out:
&lt;!-- The Left column --&gt;
&lt;div style=&quot;width:50.0%; float:left&quot;&gt;
* [[Wikiversity:Introduction|Introduction to Wikiversity]]
* [[Help:Guides|Take a guided tour]] and learn [[Help:Editing|how to edit]]
* [[Wikiversity:Browse|Browse]] or visit an educational level portal:&lt;br&gt;[[Portal:Pre-school Education|pre-school]] | [[Portal:Primary Education|primary]] | [[Portal:Secondary Education|secondary]] | [[Portal:Tertiary Education|tertiary]] | [[Portal:Non-formal Education|non-formal]]
* [[Wikiversity:Introduction explore|Explore]] links in left-hand navigation menu
&lt;/div&gt;
&lt;!-- The Right column --&gt;
&lt;div style=&quot;width:50.0%; float:left&quot;&gt;

* Read an [[Wikiversity:Wikiversity teachers|introduction for teachers]]
* Learn [[Help:How to write an educational resource|how to write an educational resource]]
* Find out about [[Wikiversity:Research|research]] activities
* Give [[Wikiversity:Feedback|feedback]] about your observations
* Discuss issues or ask questions at the [[Wikiversity:Colloquium|colloquium]]
&lt;/div&gt;
&lt;br clear=&quot;both&quot;/&gt;

To get started, experiment in the [[wikiversity:sandbox|sandbox]] or on [[special:mypage|your userpage]].

See you around Wikiversity! ---- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 03:59, 10 April 2026 (UTC)&lt;/div&gt;
&lt;!-- Template:Welcome --&gt;
{{Robelbox/close}}

==Suggestion==
Thanks for contributing to Wikiversity.

How about discussing rather than removing images from Wikiversity pages?

Feel free to suggest better alternatives.

Sincerely, James
-- [[User:Jtneill|Jtneill]] - &lt;small&gt;[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]&lt;/small&gt; 05:29, 10 April 2026 (UTC)</text>
      <sha1>chyuqjp0kf1vu76mdy01m6xxrgt5lom</sha1>
    </revision>
  </page>
  <page>
    <title>User talk:~2026-22089-35</title>
    <ns>3</ns>
    <id>328994</id>
    <revision>
      <id>2804106</id>
      <timestamp>2026-04-10T08:43:20Z</timestamp>
      <contributor>
        <username>PieWriter</username>
        <id>3039865</id>
      </contributor>
      <comment>test1 ([[m:User:ZbVl/VD|Vandoom]])</comment>
      <origin>2804106</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="1035" sha1="99wnks63fb5r53e2x61cuepje883i6w" xml:space="preserve">

== 2026-04-10 ==
== Your editing experiments ==
[[File:Information.svg|left|29px]] Thank you for experimenting with the page [[:{{{1}}}]]. You can continue to participate at [[Wikiversity:What is Wikiversity?|Wikiversity]] and keep other community members from [[m:Help:Reverting|reverting]] or removing your edits as [[Wikiversity:Vandalism|vandalism]] by conducting your editing experiments in [[Wikiversity:Sandbox|the sandbox]], and in your own user space when you login or [[Wikiversity:Why create an account|create an account]]. You can [[User talk:PieWriter|contact me]] or the [[Wikiversity:Colloquium|Wikiversity community]] with any questions you may have. Thank you. &lt;!-- Template:Test --&gt; --[[User:PieWriter|PieWriter]] ([[User talk:PieWriter|discuss]] • [[Special:Contributions/PieWriter|contribs]]) 08:43, 10 April 2026 (UTC)&lt;!-- Glow-test1 @ 1775810600091s --&gt;&lt;nowiki&gt;&lt;/nowiki&gt; [[User:PieWriter|PieWriter]] ([[User talk:PieWriter|discuss]] • [[Special:Contributions/PieWriter|contribs]]) 08:43, 10 April 2026 (UTC)</text>
      <sha1>99wnks63fb5r53e2x61cuepje883i6w</sha1>
    </revision>
    <revision>
      <id>2804107</id>
      <parentid>2804106</parentid>
      <timestamp>2026-04-10T08:44:26Z</timestamp>
      <contributor>
        <username>PieWriter</username>
        <id>3039865</id>
      </contributor>
      <comment>/* Your editing experiments */</comment>
      <origin>2804107</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="1067" sha1="fu1qwvy2pl3km79fsd3o939j4031mef" xml:space="preserve">

== 2026-04-10 ==
== Your editing experiments ==
[[File:Information.svg|left|29px]] Thank you for experimenting with the page [[: Use of science concepts in daily lives]]. You can continue to participate at [[Wikiversity:What is Wikiversity?|Wikiversity]] and keep other community members from [[m:Help:Reverting|reverting]] or removing your edits as [[Wikiversity:Vandalism|vandalism]] by conducting your editing experiments in [[Wikiversity:Sandbox|the sandbox]], and in your own user space when you login or [[Wikiversity:Why create an account|create an account]]. You can [[User talk:PieWriter|contact me]] or the [[Wikiversity:Colloquium|Wikiversity community]] with any questions you may have. Thank you. &lt;!-- Template:Test --&gt; --[[User:PieWriter|PieWriter]] ([[User talk:PieWriter|discuss]] • [[Special:Contributions/PieWriter|contribs]]) 08:43, 10 April 2026 (UTC)&lt;!-- Glow-test1 @ 1775810600091s --&gt;&lt;nowiki&gt;&lt;/nowiki&gt; [[User:PieWriter|PieWriter]] ([[User talk:PieWriter|discuss]] • [[Special:Contributions/PieWriter|contribs]]) 08:43, 10 April 2026 (UTC)</text>
      <sha1>fu1qwvy2pl3km79fsd3o939j4031mef</sha1>
    </revision>
  </page>
</mediawiki>