#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. 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:

Vytvořeno 1mo | 15. 6. 2025 2:20:05


Chcete-li přidat komentář, přihlaste se

Ostatní příspěvky v této skupině

#474 – DHH: Future of Programming, AI, Ruby on Rails, Productivity & Parenting

David Heinemeier Hansson (aka DHH) is a legendary programmer, creator of Ruby on Rails, co-owner & CTO of 37signals that created Basecamp, HEY, & ONCE, and is a NYT-best-selling author (with Jason Fri

12. 7. 2025 17:20:04 | LEX FRIDMAN
#473 – Iran War Debate: Nuclear Weapons, Trump, Peace, Power & the Middle East

Debate on Iran war between Scott Horton and Mark Dubowitz. Scott Horton is the author and director of the Libertarian Institute, editorial director of Antiwar.com, host of The Scott Horton Show, and f

26. 6. 2025 23:30:11 | LEX FRIDMAN
#471 – Sundar Pichai: CEO of Google and Alphabet

Sundar Pichai is CEO of Google and Alphabet. Thank you for listening ❤ Check out our sponsors: https://lexfridman.com/sponsors/ep471-sc See below for timestamps, transcript, and to give feedback, subm

5. 6. 2025 19:40:10 | LEX FRIDMAN
#470 – James Holland: World War II, Hitler, Churchill, Stalin & Biggest Battles

James Holland is a historian specializing in World War II. He hosts a podcast called WW2 Pod: We Have Ways of Making You Talk. Thank you for listening ❤ Check out our sponsors: https://lexfridman.com/

25. 5. 2025 0:50:13 | LEX FRIDMAN
#469 – Oliver Anthony: Country Music, Blue-Collar America, Fame, Money, and Pain

Oliver Anthony is singer-songwriter who first gained worldwide fame with his viral hit Rich Men North of Richmond. He became a voice for many who are voiceless, with many of his songs speaking to the

20. 5. 2025 16:40:04 | LEX FRIDMAN
#468 – Janna Levin: Black Holes, Wormholes, Aliens, Paradoxes & Extra Dimensions

Janna Levin is a theoretical physicist and cosmologist specializing in black holes, cosmology of extra dimensions, topology of the universe, and gravitational waves. Thank you for listening ❤ Check ou

6. 5. 2025 0:20:03 | LEX FRIDMAN
#467 – Tim Sweeney: Fortnite, Unreal Engine, and the Future of Gaming

Tim Sweeney is a legendary video game programmer, founder and CEO of Epic Games that created the Unreal Engine, Fortnite, Gears of War, Unreal Tournament, and many other groundbreaking and influential

30. 4. 2025 23:30:20 | LEX FRIDMAN