Gödel: Difference between revisions
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[[File:Escher-drawing-hands.jpg|thumb|Escher uses [[self-reference]] extensively in his [[art]]]] | [[File:Escher-drawing-hands.jpg|thumb|Escher uses [[self-reference]] extensively in his [[art]]]]<blockquote>''The tao that can be described is not the eternal Tao. The name that can be spoken is not the eternal Name'' -Lao Tzu</blockquote>[[wikipedia:Kurt_Gödel|Godel's]] [[wikipedia:Gödel's_incompleteness_theorems|incompleteness theorems]] are fundamental to understanding the limits of [[scientific]] and [[mathematical]] knowledge and the power of [[self-reference]]. It proves the Taoist saying by demonstrating that we can never fully determine what is true using the language of [[mathematics]]. | ||
''The tao that can be described is not the eternal Tao. The name that can be spoken is not the eternal Name'' -Lao Tzu | |||
[ | [[wikipedia:Gödel,_Escher,_Bach|Gödel, Escher, Bach]] should be considered [[required reading]] for a full understanding of [[metaculture]]. | ||
[[Special:WhatLinksHere/Gödel|View All References to Self-Reference]] | [[Special:WhatLinksHere/Gödel|View All References to Self-Reference]] |
Revision as of 23:45, 14 June 2024

The tao that can be described is not the eternal Tao. The name that can be spoken is not the eternal Name -Lao Tzu
Godel's incompleteness theorems are fundamental to understanding the limits of scientific and mathematical knowledge and the power of self-reference. It proves the Taoist saying by demonstrating that we can never fully determine what is true using the language of mathematics.
Gödel, Escher, Bach should be considered required reading for a full understanding of metaculture.
View All References to Self-Reference
Here's a basic explanation of Gödel's incompleteness theorem if such a thing exists.
A free online course from MIT is available to help get the most out of this seminal work.
Technically this is based on another book by Hofstadter but it does a good job explaining a lot of the concepts of recursion and consciousness that are in GEB.