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:
Feedback – give feedback to Lex: https://lexfridman.com/survey
AMA – submit questions, videos or call-in: https://lexfridman.com/ama
Hiring – join our team: https://lexfridman.com/hiring
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:
Notion: Note-taking and team collaboration.
Go to https://notion.com/lex
Shopify: Sell stuff online.
Go to https://shopify.com/lex
NetSuite: Business management software.
Go to http://netsuite.com/lex
LMNT: Zero-sugar electrolyte drink mix.
Go to https://drinkLMNT.com/lex
AG1: All-in-one daily nutrition drink.
Go to https://drinkag1.com/lex

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

15: GDC Special - Derek Yu and Slay the Spire

Eggplant: The Secret Lives of Games

Tenshu: A Good Game

The AI-powered Podcast Player