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Lex Fridman3h 15m

Terence Tao: Hardest Problems in Mathematics, Physics & the Future of AI | Lex Fridman Podcast #472

Terence Tao, Lex Fridman

Interview

Renowned mathematician Terence Tao outlines a "fox-like" approach to bridging disparate fields while addressing the Navier-Stokes Millennium Prize Problem through his construction of an averaged equation capable of finite-time blow-up via a simulated "fluid Turing machine." Tao contrasts the solvability of the Poincaré Conjecture, solved by Grigori Perelman using entropy-based Ricci Flow techniques, with persistent number theory barriers like the parity obstacle in the Twin Prime Conjecture. Looking toward the future, the event details the transformative potential of formal proof assistants like Lean and the anticipated synergy between human intuition and artificial intelligence to overcome current limitations in mathematical research.