AI Crisis in Math: Navier-Stokes, Riemann Hypothesis & Complexity Theory | Lex Fridman Podcast #503
Lex Fridman talks with mathematicians Ankur Moitra, Steven Brunton and Alex Kontorovich about a wave of AI-claimed proofs, including Navier-Stokes and the quasi-Riemann hypothesis, and what it means for mathematicians and students.
The gist
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Moitra uses the "doorman fallacy" to argue that proving theorems is only the most visible part of a mathematician's job, not the whole of it.
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Kontorovich says AI results are now checked in Lean, and an Anthropic effort produced a 13-million-line Lean proof of Fermat's Last Theorem.
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Kontorovich says the quasi-Riemann hypothesis proof rules out zeta zeros with real part between seven-eighths and one, but its method cannot reach one half.
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Brunton says the Navier-Stokes blowup proof leaves everyday fluid engineering unchanged, since the million-dollar math problem fell but the trillion-dollar engineering one remains.
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Kontorovich sees grades splitting between students who use AI to quiz themselves and those who copy answers; Moitra says pretend you already have tenure.
"I had a lot of experience with Lean and with using AI. I started doing Lean before AI existed in the sense that we understand it now, and it was very painstaking... Lean is software that allows you to check all kinds of things... the computer says, 'Yes, this line does follow ..."
▶ Play at 1:15:495 creators recommend it, including Clark Barrett, Eric Weinstein, and Karina Hong.
See all on the Lean pageWhat they recommend · 1 pick
"I had a lot of experience with Lean and with using AI. I started doing Lean before AI existed in the sense that we understand it now, and it was very painstaking... Lean is soft..."
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