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Conversations about science, technology, history, philosophy and the nature of intelligence, consciousness, love, and power. Lex is an AI researcher at MIT and beyond.
#472 – Terence Tao: Hardest Problems in Mathematics, Physics & the Future of AI
Lex Fridman Podcast
3 hours 23 minutes 41 seconds
1 month ago
#472 – Terence Tao: Hardest Problems in Mathematics, Physics & the Future of AI
Terence Tao is widely considered to be one of the greatest mathematicians in history. He won the Fields Medal and the Breakthrough Prize in Mathematics, and has contributed to a wide range of fields from fluid dynamics with Navier-Stokes equations to mathematical physics & quantum mechanics, prime numbers & analytics number theory, harmonic analysis, compressed sensing, random matrix theory, combinatorics, and progress on many of the hardest problems in the history of mathematics.
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OUTLINE:
(00:00) - Introduction
(00:36) - Sponsors, Comments, and Reflections
(09:49) - First hard problem
(15:16) - Navier–Stokes singularity
(35:25) - Game of life
(42:00) - Infinity
(47:07) - Math vs Physics
(53:26) - Nature of reality
(1:16:08) - Theory of everything
(1:22:09) - General relativity
(1:25:37) - Solving difficult problems
(1:29:00) - AI-assisted theorem proving
(1:41:50) - Lean programming language
(1:51:50) - DeepMind's AlphaProof
(1:56:45) - Human mathematicians vs AI
(2:06:37) - AI winning the Fields Medal
(2:13:47) - Grigori Perelman
(2:26:29) - Twin Prime Conjecture
(2:43:04) - Collatz conjecture
(2:49:50) - P = NP
(2:52:43) - Fields Medal
(3:00:18) - Andrew Wiles and Fermat's Last Theorem
(3:04:15) - Productivity
(3:06:54) - Advice for young people
(3:15:17) - The greatest mathematician of all time
Conversations about science, technology, history, philosophy and the nature of intelligence, consciousness, love, and power. Lex is an AI researcher at MIT and beyond.
