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#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.
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Transcript:
https://lexfridman.com/terence-tao-transcript
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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:
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- Clips Channel: https://www.youtube.com/lexclips
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3:23:41
#471 – Sundar Pichai: CEO of Google and Alphabet
Sundar Pichai is CEO of Google and Alphabet.
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Transcript:
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Sundar's Instagram: https://instagram.com/sundarpichai
Sundar's Blog: https://blog.google/authors/sundar-pichai/
Google Gemini: https://gemini.google.com/
Google's YouTube Channel: https://www.youtube.com/@Google
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OUTLINE:
(00:00) - Introduction
(00:07) - Sponsors, Comments, and Reflections
(07:55) - Growing up in India
(14:04) - Advice for young people
(15:46) - Styles of leadership
(20:07) - Impact of AI in human history
(32:17) - Veo 3 and future of video
(40:01) - Scaling laws
(43:46) - AGI and ASI
(50:11) - P(doom)
(57:02) - Toughest leadership decisions
(1:08:09) - AI mode vs Google Search
(1:21:00) - Google Chrome
(1:36:30) - Programming
(1:43:14) - Android
(1:48:27) - Questions for AGI
(1:53:42) - Future of humanity
(1:57:04) - Demo: Google Beam
(2:04:46) - Demo: Google XR Glasses
(2:07:31) - Biggest invention in human history
PODCAST LINKS:
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- 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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2:17:50
#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/sponsors/ep470-sc
See below for timestamps, transcript, and to give feedback, submit questions, contact Lex, etc.
Transcript:
https://lexfridman.com/james-holland-transcript
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James's X: https://x.com/James1940
James's Instagram: https://instagram.com/jamesholland1940
James's Substack: https://james1940.substack.com
WW2 Pod (Podcast - Apple): https://apple.co/4l93Dl3
WW2 Pod (Podcast - YouTube): https://www.youtube.com/@wehaveways
WW2 Pod (Podcast - Spotify): https://open.spotify.com/show/34VlAepHmeloDD76RX4jtc
WW2 Pod (Podcast - X): https://x.com/WeHaveWaysPod
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OUTLINE:
(00:00) - Introduction
(00:34) - Sponsors, Comments, and Reflections
(07:25) - World War II
(17:23) - Lebensraum and Hitler ideology
(24:36) - Operation Barbarossa
(40:49) - Hitler vs Europe
(1:02:35) - Joseph Goebbels
(1:12:29) - Hitler before WW2
(1:17:25) - Hitler vs Chamberlain
(1:39:31) - Invasion of Poland
(1:44:07) - Molotov–Ribbentrop Pact
(1:52:09) - Winston Churchill
(2:16:09) - Most powerful military in WW2
(2:38:31) - Tanks
(2:48:30) - Battle of Stalingrad
(3:01:21) - Concentration camps
(3:10:53) - Battle of Normandy
(3:24:45) - Lessons from WW2
PODCAST LINKS:
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- 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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3:30:56
#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 struggle of the working class in modern American life.
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Transcript:
https://lexfridman.com/oliver-anthony-transcript
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EPISODE LINKS:
Oliver's X: https://x.com/AintGottaDollar
Oliver's Instagram: https://instagram.com/oliver_anthony_music_
Oliver's YouTube: https://youtube.com/@oliveranthonymusic
Oliver's TikTok: https://tiktok.com/@oliveranthonymusic
Oliver's Website: https://oliveranthonymusic.com/
Oliver's FaceBook: https://facebook.com/OliverAnthonyMusicOfficial/
Oliver's Linktree: https://linktr.ee/oliveranthonymusic
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OUTLINE:
(00:00) - Introduction
(09:00) - Open mics
(13:03) - Mainstream country music
(22:10) - Fame
(28:06) - Music vs politics
(36:56) - Rich Men North of Richmond
(47:06) - Popularity, money, and integrity
(1:01:54) - Blue-collar people
(1:13:57) - Depression
(1:38:50) - Nature
(2:01:26) - Three-legged cat
(2:09:57) - I Want to Go Home (live performance)
(2:13:36) - Guitar backstory
(2:17:58) - Playing live this year
PODCAST LINKS:
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- Apple Podcasts: https://apple.co/2lwqZIr
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- 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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2:27:02
#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 out our sponsors: https://lexfridman.com/sponsors/ep468-sc
See below for timestamps, transcript, and to give feedback, submit questions, contact Lex, etc.
Transcript:
https://lexfridman.com/janna-levin-transcript
CONTACT LEX:
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EPISODE LINKS:
Janna's X: https://x.com/JannaLevin
Janna's Website: https://jannalevin.com
Janna's Instagram: https://instagram.com/jannalevin
Janna's Substack: https://substack.com/@jannalevin
Black Hole Survival Guide (book): https://amzn.to/3YkJzT5
Black Hole Blues (book): https://amzn.to/42Nw7IE
How the Universe Got Its Spots (book): https://amzn.to/4m5De8k
A Madman Dreams of Turing Machines (book): https://amzn.to/3GGakvd
SPONSORS:
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OUTLINE:
(00:00) - Introduction
(00:51) - Sponsors, Comments, and Reflections
(09:21) - Black holes
(16:55) - Formation of black holes
(27:45) - Oppenheimer and the Atomic Bomb
(34:08) - Inside the black hole
(47:10) - Supermassive black holes
(50:39) - Physics of spacetime
(53:42) - General relativity
(59:13) - Gravity
(1:15:47) - Information paradox
(1:24:17) - Fuzzballs & soft hair
(1:27:28) - ER = EPR
(1:34:07) - Firewall
(1:42:59) - Extra dimensions
(1:45:24) - Aliens
(2:01:00) - Wormholes
(2:11:57) - Dark matter and dark energy
(2:22:00) - Gravitational waves
(2:34:08) - Alan Turing and Kurt Godel
(2:46:23) - Grigori Perelman, Andrew Wiles, and Terence Tao
(2:52:58) - Art and science
(3:02:37) - The biggest mystery
PODCAST LINKS:
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- Apple Podcasts: https://apple.co/2lwqZIr
- Spotify: https://spoti.fi/2nEwCF8
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- Podcast Playlist: https://www.youtube.com/playlist?list=PLrAXtmErZgOdP_8GztsuKi9nrraNbKKp4
- Clips Channel: https://www.youtube.com/lexclips
Conversations about science, technology, history, philosophy and the nature of intelligence, consciousness, love, and power. Lex is an AI researcher at MIT and beyond.