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

    15/06/2025

    1

    #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: – 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

    15/06/2025

    •
    3h 24m
  • Jensen Huang LIVE: Nvidia's Future, Physical AI, Rise of the Agent, Inference Explosion, AI PR Crisis

    3 DAYS AGO

    2

    Jensen Huang LIVE: Nvidia's Future, Physical AI, Rise of the Agent, Inference Explosion, AI PR Crisis

    (0:00) Jensen Huang joins the show! (0:26) Acquiring Groq and the inference explosion (8:53) Decision making at the world's most valuable company (10:47) Physical AI's $50T market, OpenClaw's future, the new operating system for modern AI computing (16:38) AI's PR crisis, refuting doomer narratives, Anthropic's comms mistakes (20:48) Revenue capacity, token allocation for employees, Karpathy's autoresearch, agentic future (30:50) Open source, global diffusion, Iran/Taiwan supply chain impact (39:45) Self-driving platform, facing competition from active customers, responding to growth slowdown predictions (47:32) Datacenters in space, AI healthcare, Robotics (56:10) OpenAI/Anthropic revenue potential, how to build an AI moat (59:04) Advice to young people on excelling in the AI era Follow the besties: https://x.com/chamath https://x.com/Jason https://x.com/DavidSacks https://x.com/friedberg Follow on X: https://x.com/theallinpod Follow on Instagram: https://www.instagram.com/theallinpod Follow on TikTok: https://www.tiktok.com/@theallinpod Follow on LinkedIn: https://www.linkedin.com/company/allinpod Intro Music Credit: https://rb.gy/tppkzl https://x.com/yung_spielburg Intro Video Credit: https://x.com/TheZachEffect

    3 days ago

    •
    1h 6m
  • How does your brain perceive the world?

    2 DAYS AGO

    3

    How does your brain perceive the world?

    Do you see images in your mind? Do you have an inner monologue? Do you have memories you swear are real? Our minds have tremendous variation. This hour, insights on how our brains construct reality. Guests include the editorial director of TED-Ed animations Alex Rosenthal, psychologist John Wixted and love coach Francesca Hogi. This episode of TED Radio Hour was produced by Katie Monteleone, James Delahoussaye and Matthew Cloutier. It was edited by Sanaz Meshkinpour and Manoush Zomorodi. Our production staff at NPR also includes Harsha Nahata, Rachel Faulkner White, Fiona Geiran and Phoebe Lett. Our executive producer is Irene Noguchi. Our audio engineers were Damian Herring and Zo van Ginhhoven. To manage podcast ad preferences, review the links below: See pcm.adswizz.com for information about our collection and use of personal data for sponsorship and to manage your podcast sponsorship preferences. Learn more about sponsor message choices: podcastchoices.com/adchoices NPR Privacy Policy

    2 days ago

    •
    50 min
  • ‘A.I.-Washing’ Layoffs? + Why L.L.M.s Can’t Write Well + Tokenmaxxing

    2 DAYS AGO

    4

    ‘A.I.-Washing’ Layoffs? + Why L.L.M.s Can’t Write Well + Tokenmaxxing

    This week, we start by talking about the new wave of tech layoffs at Atlassian and Block, as well as reports that Meta plans to cut up to 20 percent of its work force. This raises the question of whether A.I. job loss has truly begun, or if there are other factors at play. Then, we’re joined by the writer Jasmine Sun to talk about why chatbots are still so bad at creative writing. And finally, it’s tokenmaxxing time! Kevin takes us behind the scenes of his latest reporting about why tech companies are building leaderboards to measure who is using the most A.I.   Guest: Jasmine Sun, journalist and writer at jasmi.news   Additional Reading: I Worked for Block. Its A.I. Job Cuts Aren’t What They Seem. Meta Planning Sweeping Layoffs as A.I. Costs Mount Meta Delays Rollout of New A.I. Model After Performance Concerns The A.I.-Washing of Job Cuts Is Corrosive and Confusing The Human Skill That Eludes A.I.   We want to hear from you. Email us at hardfork@nytimes.com. Find “Hard Fork” on YouTube and TikTok. Subscribe today at nytimes.com/podcasts or on Apple Podcasts and Spotify. You can also subscribe via your favorite podcast app here https://www.nytimes.com/activate-access/audio?source=podcatcher. For more podcasts and narrated articles, download The New York Times app at nytimes.com/app. Hosted by Simplecast, an AdsWizz company. See pcm.adswizz.com for information about our collection and use of personal data for advertising.

    2 days ago

    •
    1h 1m
  • Did Anything Change with AirPods Max 2?

    2 DAYS AGO

    5

    Did Anything Change with AirPods Max 2?

    This week, Marques, Andrew, and David sit down to talk about everything from Rivian to NVIDIA before getting into the new AirPods Max 2. They also recap their SXSW experience, MotionVFX, and new mice/game controllers before wrapping it all up with trivia. Enjoy! Links: Tesla spokesperson statement Verge - Samsung discontinuing Trifold MKBHD - Nothing phone 4a and 4a Pro Apple newsroom - AirPods Max 2 Apple buys MotionVFX NVIDIA DLSS 5 Pixel Paw Labs Mouse This episode brought to you by: Framer: https://www.framer.com/wave Shopify: https://www.shopify.com/waveform Socials: Waveform Threads: https://www.threads.net/@waveformpodcast Waveform Instagram: https://www.instagram.com/waveformpodcast/?hl=en Waveform TikTok: https://www.tiktok.com/@waveformpodcast Hosts: Marques: https://www.threads.net/@mkbhd Andrew: https://www.threads.net/@andrew_manganelli David: https://www.threads.net/@davidimel Adam: https://www.threads.net/@parmesanpapi17 Ellis: https://twitter.com/EllisRovin Join the Discord: https://discord.gg/mkbhd Intro/Outro music by 20syl: https://bit.ly/2S53xlC Waveform is part of the Vox Media Podcast Network. Learn more about your ad choices. Visit podcastchoices.com/adchoices

    2 days ago

    •
    1h 29m
  • Eric Weinstein Demands UFO Secrets From Pentagon Scientist

    8 MAR

    6

    Eric Weinstein Demands UFO Secrets From Pentagon Scientist

    Our American Alchemists this week are Eric Weinstein and Eric Davis. Sign Up With Our Sponsors Below For Exclusive Alchemy Deals! KetoneIQ: Visit https://ketone.com/ALCHEMY for 30% OFF your subscription order PLUS receive a free gift with your second shipment—or find Ketone-IQ at Target stores nationwide and get your first shot free! iRestore: Unlock your best hair & skin with @iRestorelaser and HUGE savings on the iRESTORE Elite + Illumina Face Mask Bundle with code [JESSE] at https://www.irestore.com/JESSE #irestorepod This is the conversation I have been trying to make happen for years. Eric Davis is the most credentialed investigator of the UFO crash retrieval program alive. Astrophysics PhD from the University of Arizona, 30 years in the field, security clearances through AAWSAP and AATIP, formally deputized by the DIA under program manager James Lacatski. Eric Weinstein is one of the most technically gifted minds outside the classified world, someone Davis himself identified as one of only three people technical enough to engage with this material. I put them in a room and let them go at it. Where they disagree is where this gets historic. -------------------------- Support Our Other Projects Below! Grab Your American Alchemy Merch Here ➤ https://www.americanalchemymerch.com/ Join The American Alchemy Magazine Here ➤ https://americanalchemymagazine.substack.com/ Subscribe To Our Clips Channel (10 Minute Highlights!) ➤ https://www.youtube.com/@UC8ZKTXN9trt5dhixz6b6l6w -------------------------- JOIN OUR WHOP (Early Drops/Ad Free) ➤ https://whop.com/jessemichels Discord ➤https://discord.gg/crHc44m3kF Instagram ➤ https://www.instagram.com/jessemichelsofficial TikTok ➤ https://www.tiktok.com/@itsjessemichels X ➤ https://twitter.com/AlchemyAmerican Spotify ➤ https://tinyurl.com/jessemichelsspotify Clips Channel ➤ https://www.youtube.com/@JesseMichelsClips Apply For Jobs ➤ apply@jessemichelsmedia.com Sponsor Inquiries ➤ sponsor@jessemichelsmedia.com Media Inquiries ➤ media@jessemichelsmedia.com Timestamps 00:00 Introduction 05:48 Introducing the Guests 13:12 The Nature of Evidence 23:52 Leadership and Programs 30:33 Bush and UFO Briefings 34:53 Progress in Reverse Engineering 37:56 The Wilson Davis Memo 48:00 The Count of Crashes 50:08 Encounters with Officials 51:27 Personal UFO Experiences 54:00 Exotic Experimental Results 57:46 Theoretical Physics and UFOs 1:05:56 The Limits of General Relativity 1:15:35 The Challenge of Quantum Gravity 1:16:13 Questioning Scientific Progress 1:19:31 The Failed String Theory 1:21:51 The Role of Jasons 1:24:17 The Nature of Theoretical Physics 1:27:11 Gravitational Manipulation 1:30:55 The Energy Requirements 1:36:57 Traversable Wormholes 1:46:25 The Nature of Extended Electrodynamics 1:55:08 Dark Matter and Its Implications 2:05:04 Exploring New Physics 2:11:29 The Need for Theoretical Physicists 2:16:33 The Challenge of Understanding UAPs 2:22:02 The Complexity of Aerospace Research 2:28:43 The Nature of Crash Retrieval Programs 2:35:09 The Legacy Program 2:40:43 Quantum Gravity and Its Challenges 2:47:11 The Role of Institutions 2:49:55 The Epstein Connection 2:51:14 Conspiracy Theories and Reality 2:52:55 Bob Lazar 2:54:39 The Nature of Physics Institutions 2:55:53 The Role of MIT and Lincoln Labs 2:57:24 The Gravity Wave Debate 3:02:01 Jim Simons and Physics 3:06:38 The Economics of Science 3:09:45 Secret Science or Slush Fund? 3:12:58 The Role of Los Alamos 3:16:39 UFOs and National Security 3:18:46 The Nature of UFO Phenomena 3:24:01 The Harvard Math Department Connection 3:35:33 The Old Order is Breaking 3:44:54 Zero-Day Exploits and National Security 3:49:15 The Nature of UFO Interactions 3:52:10 Trust and Blackmail Systems 3:54:30 The Complexity of Epstein's Network 3:57:47 Physics in Crisis: A Call to Action Learn more about your ad choices. Visit megaphone.fm/adchoices

    8 Mar

    •
    4h 8m
  • Why people really hate AI

    2 DAYS AGO

    7

    Why people really hate AI

    David and Nilay start the show by exploring the increasing disconnect between the people who make AI products, and the people who keep saying they don't want them. (Or, at least, don't want to pay for them.) The AI industry is starting to retrench to a business-first approach, because there's simply no killer app for it yet. Speaking of no killer apps! Allison Johnson then joins the show to talk about the shockingly short life of the Samsung TriFold, and her bizarre journey to try and review the now-dead foldable. Finally, in the lightning round, it's time for Brendan Carr is a Dummy, the fate of the metaverse, and some important internet debunking. Further reading: ⁠OpenAI cuts back on “side quests.” ⁠ ⁠OpenAI’s adult mode will reportedly be smutty, not pornographic ⁠ NYMag: ⁠Should You Be Able to Have Sex With ChatGPT?⁠ ⁠I think VCs are starting to panic about the lack of *broad* consumer | TikTok⁠ ⁠For the second time this week we have VCs vocalizing their frustration | TikTok⁠ ⁠Poll: Majority of voters say risks of AI outweigh the benefits⁠ ⁠How Americans View AI and Its Impact on Human Abilities, Society | Pew Research Center⁠ ⁠Samsung discontinues its Galaxy Z TriFold after just three months ⁠ ⁠Oppo’s nearly creaseless foldable isn’t launching in Europe after all ⁠ From last year: ⁠Just look at Huawei’s trifold phone⁠ ⁠This is not a fly uploaded to a computer⁠ ⁠ChatGPT did not cure a dog’s cancer⁠ ⁠Meta is actually keeping its VR metaverse running, for now⁠ ⁠Nvidia just announced DLSS 5 and Digital Foundry already has a video. ⁠ ⁠Jensen Huang, on the critical reaction to DLSS 5: “Well, first of all, they’re completely wrong.”⁠ ⁠DLSS 5 looks like a real-time generative AI filter for video games ⁠ ⁠Nvidia has lost the plot with gamers ⁠ We're hiring a new podcast producer. Come work with us! Subscribe to The Verge for unlimited access to theverge.com, subscriber-exclusive newsletters, and our ad-free podcast feed.We love hearing from you! Email your questions and thoughts to vergecast@theverge.com or call us at 866-VERGE11. Learn more about your ad choices. Visit podcastchoices.com/adchoices

    2 days ago

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    1h 46m
  • AI Just Gave You Superpowers — Now What?

    3 DAYS AGO

    8

    AI Just Gave You Superpowers — Now What?

    A new paper, “Some Simple Economics of AGI,” is making the rounds—Web3 with a16z we sat down with author Christian Catalini (MIT Crypto Economics Lab) and Eddy Lazzarin (CTO of a16z crypto), in conversation with Robert Hackett, to unpack what AGI could mean for work and markets. EPISODE NOTES:  A hot paper — "Some Simple Economics of AGI" — has been making the rounds, so we sat down with the author, covering:  Automation vs. verification: the key economic split  Why AI agents now feel like coworkers - What's happening to junior roles and the “codifier’s curse”  The “AI sandwich” structure for firms  The value of "meaning-makers," consensus, and status economies  Why crypto may become essential infrastructure for identity, provenance, and trust  Two possible futures: a hollow vs. augmented economy  Featuring Christian Catalini (founder of MIT Crypto Economics Lab) and Eddy Lazzarin (CTO of a16z crypto) in conversation with Robert Hackett, our discussion dives deep into how automation is reshaping labor markets, as well as the nature of intelligence.  What do these changes mean for startups, the future of work, and your career?     Stay Updated: Find a16z on YouTube: YouTube Find a16z on X Find a16z on LinkedIn Listen to the a16z Show on Spotify Listen to the a16z Show on Apple Podcasts Follow our host: https://twitter.com/eriktorenberg   Please note that the content here is for informational purposes only; should NOT be taken as legal, business, tax, or investment advice or be used to evaluate any investment or security; and is not directed at any investors or potential investors in any a16z fund. a16z and its affiliates may maintain investments in the companies discussed. For more details please see a16z.com/disclosures. Hosted by Simplecast, an AdsWizz company. See pcm.adswizz.com for information about our collection and use of personal data for advertising.

    3 days ago

    •
    1h 6m
  • John Fetterman: The Rogue Democrat Who Broke Party Ranks

    4 DAYS AGO

    9

    John Fetterman: The Rogue Democrat Who Broke Party Ranks

    (0:00) David Friedberg welcomes Senator John Fetterman; SAVE Act thoughts (1:08) The broken Democratic Party: TDS, what he stands for, why the party changed, losing bipartisanship, popularity with Republicans (11:42) Iran exit strategy, NATO allies bail on the US (17:42) Israel's influence, AIPAC, growing anti-Israel sentiment (20:16) SAVE Act, why he supports voter ID but not this bill, election fraud (26:41) Government shutdown, red lines with ICE and immigration, birthright citizenship, why Biden opened the border (32:49) Debt death spiral, government fraud (37:38) Why he's still a Democrat, national wealth tax, anti-AI sentiment, state of agriculture Follow Sen. Fetterman: https://x.com/SenFettermanPA Follow the besties: https://x.com/chamath https://x.com/Jason https://x.com/DavidSacks https://x.com/friedberg Follow on X: https://x.com/theallinpod Follow on Instagram: https://www.instagram.com/theallinpod Follow on TikTok: https://www.tiktok.com/@theallinpod Follow on LinkedIn: https://www.linkedin.com/company/allinpod Intro Music Credit https://rb.gy/tppkzl https://x.com/yung_spielburg Intro Video Credit: https://x.com/TheZachEffect

    4 days ago

    •
    45 min
  • The Canon 5D IV Isn't Dead (Yet) and Could Your Nikon Suddenly Fail?!

    4 DAYS AGO

    10

    The Canon 5D IV Isn't Dead (Yet) and Could Your Nikon Suddenly Fail?!

    With a PetaPixel Membership, not only can you support original PetaPixel reporting and in-depth reviews, but you can also remove ads from the website and gain access to some seriously great perks, too. Members get $15 off the Moment Store, 5% off certified pre-owned gear from KEH, 25% off the PetaPixel Merch Store, and now can download full-resolution RAW files and JPEGs from the latest cameras and lenses. It costs just $3 per month or $30 per year. Join today! Now saving when you shop for your favorite gear at B&H Photo is even easier with the B&H Payboo Credit Card which lets you Save the Tax — you pay the tax, and B&H pays you back instantly! (Save the Tax on eligible purchases shipped to eligible states.) OR you can pay over time with our 6 & 12 month financing (on minimum purchases of $199 for 6 months, and $599 for 12 months). Terms apply, learn more at http://bhphoto.com/payboo. Credit card offers are subject to credit approval. Payboo Credit Card Accounts are issued by Comenity Capital Bank This week on The PetaPixel Podcast, the Canon 5D Mark IV is going on 10 years old, but it's still kicking – at least in some territories, some Nikon cameras might just stop working (but there is a fix)! Check out PetaPixel Merch: store.petapixel.com/ We use Riverside to record The PetaPixel Podcast in our online recording studio. We hope you enjoy the podcast and we look forward to hearing what you think. If you like what you hear, please support us by subscribing, liking, commenting, and reviewing! Send a message for us to hear on SpeakPipe. In This Episode:00:00 - Welcome to Chelsea!10:39 - Sigma might finally be making progress with full-frame foveon17:11 - Nikon Issues Advisory: Some Z6 III, Z5 II, and ZR Have a Hardware Problem19:39 - The Canon 5D Mark IV isn't dead yet23:08 - Apple has acquired MotionVFX25:30 - Adobe's CEO is out after 18 years28:10 - The M5 Max is really good32:42 - Fujifilm GFX isn't popular enough for Sigma to invest in making lenses for it35:54 - Micro Four Thirds isn't dead! YoloLiv just made a new lens40:36 - This medium format film camera can change aspect ratios mid roll44:41 - Bird nerding with Chelsea Northrup1:12:46 - What have you been up to (and what's going on in Chelsea's life?)1:21:19 - Tech support1:35:34 - Feel good story of the week

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