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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.
Thank you for listening ❤ Check out our sponsors: https://lexfridman.com/sponsors/ep472-sc
See below for timestamps, transcript, and to give feedback, submit questions, contact Lex, etc.
Transcript:
https://lexfridman.com/terence-tao-transcript
CONTACT LEX:
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EPISODE LINKS:
Terence’s Blog: https://terrytao.wordpress.com/
Terence’s YouTube: https://www.youtube.com/@TerenceTao27
Terence’s Books: https://amzn.to/43H9Aiq
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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
PODCAST LINKS:
– Podcast Website: https://lexfridman.com/podcast
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– Clips Channel: https://www.youtube.com/lexclips

#472 – 陶哲轩：数学、物理中的最难问题与人工智能的未来

Conversations about science, technology, history, philosophy and the nature of intelligence, consciousness, love, and power. Lex is an AI researcher at MIT and beyond.

Lex Fridman Podcast

#472 – Terence Tao: Hardest Problems in Mathematics, Physics & the Future of AI

06:55 性感素数，在最近陶哲轩在 Lex Firdman 访谈里也提到了

https://www.xiaoyuzhoufm.com/episode/684e136b7dd7cf65668f7ced

目前发现的最大孪生素数：
Robert Rankin给出的1到x之间素数的最大间隔：
目前发现的最长的（26）素数等差序列：
43142746595714191 + 23681770·23#·n, for n = 0 to 25.
订阅公众号获得文稿：dalaoli_shuxue （“大老李聊数学”）

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