# #488 – Infinity, Paradoxes that Broke Mathematics, Gödel Incompleteness & the Multiverse – Joel David Hamkins Page: https://stenobird.com/podcast/lex-fridman-podcast/488-infinity-paradoxes-that-broke-mathematics-g-del-incompleteness-the-multiverse-joel-david-hamkins Text version: https://stenobird.com/podcast/lex-fridman-podcast/488-infinity-paradoxes-that-broke-mathematics-g-del-incompleteness-the-multiverse-joel-david-hamkins.md Podcast: [Lex Fridman Podcast](https://stenobird.com/podcast/lex-fridman-podcast) Published: 2025-12-31T21:24:33+00:00 Episode link: https://lexfridman.com/joel-david-hamkins/?utm_source=rss&utm_medium=rss&utm_campaign=joel-david-hamkins Audio file: https://media.blubrry.com/takeituneasy/ins.blubrry.com/takeituneasy/lex_ai_joel_david_hamkins.mp3 Processing state: failed JSON: https://stenobird.com/v1/public/podcasts/lex-fridman-podcast/episodes/488-infinity-paradoxes-that-broke-mathematics-g-del-incompleteness-the-multiverse-joel-david-hamkins ## Resource Joel David Hamkins is a mathematician and philosopher specializing in set theory, the foundations of mathematics, and the nature of infinity, and he’s the #1 highest-rated user on MathOverflow. He is also the author of several books, including Proof and the Art of Mathematics and Lectures on the Philosophy of Mathematics. And he has a great blog called Infinitely More. Thank you for listening ❤ Check out our sponsors: https://lexfridman.com/sponsors/ep488-sc See below for timestamps, transcript, and to give feedback, submit questions, contact Lex, etc. Transcript: https://lexfridman.com/joel-david-hamkins-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: Joel’s X: https://x.com/JDHamkins Joel’s Website: https://jdh.hamkins.org Joel’s Substack: https://www.infinitelymore.xyz Joel’s MathOverflow: https://mathoverflow.net/users/1946/joel-david-hamkins Joel’s Papers: https://jdh.hamkins.org/publications Joel’s Books: Lectures on the Philosophy of Mathematics: https://amzn.to/3MThaAt Proof and the Art of Mathematics: https://amzn.to/3YACc9A SPONSORS: To support this podcast, check out our sponsors & get discounts: Perplexity: AI-powered answer engine. Go to https://www.perplexity.ai/ Fin: AI agent for customer service. Go to https://fin.ai/lex Miro: Online collaborative whiteboard platform. Go to https://miro.com/ CodeRabbit: AI-powered code reviews. Go to https://coderabbit.ai/lex Chevron: Reliable energy for data centers. Go to https://chevron.com/power Shopify: Se… ## Actions - request_transcript: `POST https://stenobird.com/v1/public/podcasts/lex-fridman-podcast/episodes/488-infinity-paradoxes-that-broke-mathematics-g-del-incompleteness-the-multiverse-joel-david-hamkins/transcription-requests` — Idempotently request low-priority transcript generation for this episode. - read_markdown: `GET https://stenobird.com/podcast/lex-fridman-podcast/488-infinity-paradoxes-that-broke-mathematics-g-del-incompleteness-the-multiverse-joel-david-hamkins.md` — Read the agent-friendly Markdown representation of this episode resource. A page view does not enqueue transcription. Agents should invoke `request_transcript` explicitly when they need this episode processed. ## Transcript Full transcripts are not published on public pages unless there is a clear rights basis.