my private podcast channel
Margaret reads you a story about what it takes to break from society in disgust.
See omnystudio.com/listener for privacy information.
array(3) { [0]=> string(150) "https://www.omnycontent.com/d/programs/e73c998e-6e60-432f-8610-ae210140c5b1/78d30acb-8463-4c40-a5ae-ae2d0145c9ff/image.jpg?t=1749835422&size=Large" [1]=> string(10) "image/jpeg" [2]=> int(0) }The search in the US for the man who shot dead a Democratic politician in a targeted killing. Also: Israel and Iran threaten to step up their attacks, and getting away from the electro-magnetic radiation of modern life.
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
Israel and Iran threaten to step up their military confrontation, nearly 48 hours after the Israeli strikes began. Newshour analyses Israel's strategy and assesses how close Iran was to making a nuclear weapon.
Also in the programme: two US politicians are shot in Minnesota; and Bangladesh's interim Prime Minister Muhammad Yunus on the ending of aid to his country.
(Picture: Missiles launched from Iran are intercepted, as seen from the city of Ashkelon, Israel, June 13, 2025. Credit: Reuters)
Travel can slow down temporary but the demand to get away from your home is everlasting.
Airbnb CFO, Ellie Mertz, joined Motley Fool CEO and Co-founder, Tom Gardner, and Chief Investment Officer, Andy Cross, for a conversation about:
- Why Airbnb is focusing on experiences and services.
- The stock’s long-term performance.
- How ideas develop at Airbnb.
Company discussed: ABNB
Hosts: Tom Gardner, Andy Cross
Guest: Ellie Mertz
Producer: Ricky Mulvey
Engineer: Dan Boyd
Advertisements are sponsored content and provided for informational purposes only. The Motley Fool and its affiliates (collectively, "TMF") do not endorse, recommend, or verify the accuracy or completeness of the statements made within advertisements. TMF is not involved in the offer, sale, or solicitation of any securities advertised herein and makes no representations regarding the suitability, or risks associated with any investment opportunity presented. Investors should conduct their own due diligence and consult with legal, tax, and financial advisors before making any investment decisions. TMF assumes no responsibility for any losses or damages arising from this advertisement.
Learn more about your ad choices. Visit megaphone.fm/adchoices
Replay of the interview Mike Pesca did with Kat Rosenfield on The Gist List. Click the link below to subscribe for free to The Gist List.
Produced by Corey Wara
Production Coordinator Ashley Khan
Email us at thegist@mikepesca.com
To advertise on the show, contact ad-sales@libsyn.com or visit https://advertising.libsyn.com/TheGist
Subscribe to The Gist: https://subscribe.mikepesca.com/
Subscribe to The Gist Youtube Page: https://www.youtube.com/channel/UC4_bh0wHgk2YfpKf4rg40_g
Subscribe to The Gist Instagram Page: GIST INSTAGRAM
Follow The Gist List at: Pesca Profundities | Mike Pesca | Substack
Learn more about your ad choices. Visit podcastchoices.com/adchoices