- Introduction

- Sponsors, Comments, and Reflections

- First hard problem

- Navier–Stokes singularity

- Game of life

- Infinity

- Math vs Physics

- Nature of reality

- Theory of everything

- General relativity

- Solving difficult problems

- AI-assisted theorem proving

- Lean programming language

- DeepMind's AlphaProof

- Human mathematicians vs AI

- AI winning the Fields Medal

- Grigori Perelman

- Twin Prime Conjecture

- Collatz conjecture

- P = NP

- Fields Medal

- Andrew Wiles and Fermat's Last Theorem

- Productivity

- Advice for young people

- The greatest mathematician of all time

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 &amp; quantum mechanics, prime numbers &amp; 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 &amp; 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

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 m...

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 &amp; quantum mechanics, prime numbers &amp; 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 &amp; 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

Lex Fridman Podcast

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