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

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

Update: 2025-06-15
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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.

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See below for timestamps, transcript, and to give feedback, submit questions, contact Lex, etc.


Transcript:

https://lexfridman.com/terence-tao-transcript


CONTACT LEX:

Feedback – give feedback to Lex: https://lexfridman.com/survey

AMA – submit questions, videos or call-in: https://lexfridman.com/ama

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Other – other ways to get in touch: https://lexfridman.com/contact


EPISODE LINKS:

Terence’s Blog: https://terrytao.wordpress.com/

Terence’s YouTube: https://www.youtube.com/@TerenceTao27

Terence’s Books: https://amzn.to/43H9Aiq


SPONSORS:

To support this podcast, check out our sponsors & get discounts:

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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

– Apple Podcasts: https://apple.co/2lwqZIr

– Spotify: https://spoti.fi/2nEwCF8

– RSS: https://lexfridman.com/feed/podcast/

– Podcast Playlist: https://www.youtube.com/playlist?list=PLrAXtmErZgOdP_8GztsuKi9nrraNbKKp4

– Clips Channel: https://www.youtube.com/lexclips

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

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

Lex Fridman