Gödel: Difference between revisions
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Here's a basic explanation of Gödel's incompleteness theorem if such a thing exists. | Here's a basic explanation of Gödel's incompleteness theorem if such a thing exists. | ||
{{#ev:youtube|https://www.youtube.com/watch?v=I4pQbo5MQOs||center||frame}} | {{#ev:youtube|https://www.youtube.com/watch?v=I4pQbo5MQOs||center|The Paradox at the Heart of Mathematics: Gödel's Incompleteness Theorem|frame}} | ||
A [https://ocw.mit.edu/high-school/humanities-and-social-sciences/godel-escher-bach/ free online course from MIT] is available to help get the most out of this seminal work. | A [https://ocw.mit.edu/high-school/humanities-and-social-sciences/godel-escher-bach/ free online course from MIT] is available to help get the most out of this seminal work. | ||
{{#ev:youtube|https://www.youtube.com/watch?v=lWZ2Bz0tS-s&list=PLBOgSgXfJ6B2nbZ_YREW_Nb-AX8FW9U9K||center||frame}} | {{#ev:youtube|https://www.youtube.com/watch?v=lWZ2Bz0tS-s&list=PLBOgSgXfJ6B2nbZ_YREW_Nb-AX8FW9U9K||center|MIT Godel Escher Bach Lecture Series|frame}} | ||
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. | 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. | ||
{{#ev:youtube|https://www.youtube.com/watch?v=hQsnHkfs3sA||center||frame}} | {{#ev:youtube|https://www.youtube.com/watch?v=hQsnHkfs3sA||center|You Are a Strange Loop|frame}} | ||
{{#ev:youtube|https://www.youtube.com/watch?v=lfXxzAVtdpU||center||frame}} | {{#ev:youtube|https://www.youtube.com/watch?v=lfXxzAVtdpU||center|Doug Hofstadter - Reflections on AI|frame}} | ||
{{#ev:youtube|https://www.youtube.com/watch?v=ddbxFi3-UO4||center||frame}} | {{#ev:youtube|https://www.youtube.com/watch?v=YbHtzqCge_8||center|Kirk, Spock, Scotty, and McCoy Outwit the Androids|frame}} | ||
{{#ev:youtube|https://www.youtube.com/watch?v=ddbxFi3-UO4||center|Bach "Little" Fugue in G Minor|frame}} | |||
Revision as of 07:37, 8 January 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.
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.