Infinity, Paradoxes, Gödel Incompleteness & the Mathematical Multiverse | Lex Fridman Podcast #488

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-sb 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://lexfridman.com/s/perplexity-ep488-sb *Fin:* AI agent for customer service. Go to https://lexfridman.com/s/fin-ep488-sb *Miro:* Online collaborative whiteboard platform. Go to https://lexfridman.com/s/miro-ep488-sb *CodeRabbit:* AI-powered code reviews. Go to https://lexfridman.com/s/coderabbit-ep488-sb *Chevron:* Reliable energy for data centers. Go to https://lexfridman.com/s/chevron-ep488-sb *Shopify:* Sell stuff online. Go to https://lexfridman.com/s/shopify-ep488-sb *LMNT:* Zero-sugar electrolyte drink mix. Go to https://lexfridman.com/s/lmnt-ep488-sb *MasterClass:* Online classes from world-c