Godel, Escher, Bach by Douglas Hofstadter explained via video lecture. We cover the strange loopiness of Kurt Godel’s Incompleteness Theorem, along with MC Escher’s art and Johann Sebastian Bach’s music. Consciousness, a sense of self-awareness, emerges from abstract patterns Hofstadter calls “strange loops.“
0:00 The Central Idea
3:25 Book Background
6:22 Gödel’s Incompleteness Theorem
11:57 M.C. Escher
15:11 Johann Sebastian Bach
19:00 Bringing the 3 Together
21:18 My Meandering Thoughts
🚩 Nerd Alert
I should’ve written “There’s a self-referential HOLE in mathematics.“ on the slide, as I think that’s a better descriptor than “gap.“ F.
🎥 Watch Further
The paradox at the heart of mathematics: Gödel’s Incompleteness Theorem - Marcus du Sautoy (Ted-Ed, 5m20s length)
Music on a Clear Möbius Strip (Numberphile, 11m42s length)
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