Gödel’s incompleteness theorem is often misrepresented in popular science. In this episode we cut through the hype, correcting misconceptions from figures like Neil deGrasse Tyson, Veritasium, Michio Kaku, and Deepak Chopra, and explain exactly what Gödel proved and what he did not.SPONSORS:- I personally subscribe to The Economist. TOE listeners get 35% off the annual subscription. No other podcast has this! https://economist.com/TOE- Curt’s Substack: personal writings, https...
Gödel’s incompleteness theorem is often misrepresented in popular science. In this episode we cut through the hype, correcting misconceptions from figures like Neil deGrasse Tyson, Veritasium, Michio Kaku, and Deepak Chopra, and explain exactly what Gödel proved and what he did not.
SPONSORS:
- I personally subscribe to The Economist. TOE listeners get 35% off the annual subscription. No other podcast has this! https://economist.com/TOE
- Curt’s Substack: personal writings, https://curtjaimungal.substack.com
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RESOURCES:
- Scott Aaronson | How Much Math Is Knowable?: https://www.youtube.com/watch?v=VplMHWSZf5c
- The Consistency of the Axiom of Choice and of the Generalized Continuum-Hypothesis (paper): https://www.pnas.org/doi/pdf/10.1073/pnas.24.12.556
- The Gettier Problem: https://plato.stanford.edu/entries/knowledge-analysis/#GettProb
- Jennifer Nagel on TOE: https://www.youtube.com/watch?v=CWZVMZ9Tm7Q
- Gödel’s First Incompleteness Theorem: https://en.wikipedia.org/wiki/On_Formally_Undecidable_Propositions_of_Principia_Mathematica_and_Related_Systems
- Roger Penrose on TOE: https://www.youtube.com/watch?v=sGm505TFMbU
- Curt talks with Penrose for IAI: https://www.youtube.com/watch?v=VQM0OtxvZ-Y
- Bertrand Russell’s Comments: https://en.wikisource.org/wiki/Page:Russell,_Whitehead_-_Principia_Mathematica,_vol._I,_1910.djvu/84
- Gregory Chaitin on TOE: https://www.youtube.com/watch?v=zMPnrNL3zsE
- Chaitin on the ‘Rise and Fall of Academia’: https://www.youtube.com/watch?v=PoEuav8G6sY
- Curt and Neil Tyson Debate Physics: https://www.youtube.com/watch?v=ye9OkJih3-U
- Gödel’s Completeness Theorem: https://en.wikipedia.org/wiki/G%C3%B6del%27s_completeness_theorem
- Latham Boyle on TOE: https://www.youtube.com/watch?v=nyLeeEFKk04
- Gabriele Carcassi on TOE: https://www.youtube.com/watch?v=pIQ7CaQX8EI
- Gabriele Carcassi’s YouTube Channel (Live): https://www.youtube.com/@AssumptionsofPhysicsResearch
- Robinson Arithmetic: https://en.wikipedia.org/wiki/Robinson_arithmetic
- Algorithmic Information Theory (book): https://www.amazon.com/dp/0521616042
- The Paris-Harrington Theorem: https://mathworld.wolfram.com/Paris-HarringtonTheorem.html
- Curt’s Substack: The Mathematics of Self: https://curtjaimungal.substack.com/p/the-mathematics-of-self-why-you-can
- The Church-Turing Thesis: https://plato.stanford.edu/entries/church-turing/
- Curt’s Substack: The Most Profound Theorem in Logic You Haven't Heard Of: https://curtjaimungal.substack.com/p/infinity-its-many-models-and-lowenheim
- Twitter: https://twitter.com/TOEwithCurt
- Discord Invite: https://discord.com/invite/kBcnfNVwqs
Theories of Everything with Curt Jaimungal features long-form, technically detailed interviews with leading researchers in physics, mathematics, consciousness, and philosophy, exploring topics at the level of active research. For academics, graduate students, and anyone seeking depth beyond popular science.
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