AI Crisis in Math: Navier-Stokes, Riemann Hypothesis & Complexity Theory | Lex Fridman Podcast #503

Lex Fridman · · 3 hr 34 min

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.

Watch the episode 3 hr 34 min · YouTube

The gist

  1. 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.
  2. 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.

What they recommend · 1 pick

Lean Software & apps

"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..."

Alex Kontorovich ·5 creators recommend it·Alex's software & apps →

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Also mentioned

21:49 Perplexity · "The doorman fallacy, going to Perplexity here, is the mistake of reducing a person's job to its most..."
31:13 Adversarial Examples Are Not Bugs, They Are Features · "I had a former colleague at MIT, Alex Madry, that had some really nice work, which I really enjoyed. I..."
32:49 OpenAI · "When I'm looking through the OpenAI solutions, they just don't look like a human has solved those problems...."
53:49 arXiv · "The way that we think about publications is you work hard on your draft, you post it on arXiv, and that's..."
55:20 Mathlib · "The Mathlib model is exactly what you were describing, where instead of a paper, you have a PR, you have a..."
59:39 Prime Number Theorem and More (PNT+) project · "They'll write Lean code that builds on top of Mathlib, builds on top of the Prime Number Theorem Plus..."

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