#488 – Infinity, Paradoxes that Broke Mathematics, Gödel Incompleteness & the Multiverse – Joel David Hamkins

2025-12-31 · 26 entities

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Asserted relationships

→ hosted by Lex Fridman person

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Feed author/publisher: Lex Fridman
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Feed category: Technology
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Feed category: Science
→ discusses Society & Culture concept

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Feed category: Society & Culture
→ discusses Philosophy concept

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Feed category: Philosophy
→ references Lexpod website

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Link in episode "#488 – Infinity, Paradoxes that Broke Mathematics, Gödel Incompleteness & the Multiverse – Joel David Hamkins": https://masterclass.com/lexpod
→ references miro.com website

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Link in episode "#488 – Infinity, Paradoxes that Broke Mathematics, Gödel Incompleteness & the Multiverse – Joel David Hamkins": https://miro.com/
→ references perplexity.ai person

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Link in episode "#488 – Infinity, Paradoxes that Broke Mathematics, Gödel Incompleteness & the Multiverse – Joel David Hamkins": https://perplexity.ai/
→ references Power website

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Link in episode "#488 – Infinity, Paradoxes that Broke Mathematics, Gödel Incompleteness & the Multiverse – Joel David Hamkins": https://chevron.com/power
→ references jdh.hamkins.org website

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Link in episode "#488 – Infinity, Paradoxes that Broke Mathematics, Gödel Incompleteness & the Multiverse – Joel David Hamkins": https://jdh.hamkins.org/
→ references infinitelymore.xyz website

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evidence
Link in episode "#488 – Infinity, Paradoxes that Broke Mathematics, Gödel Incompleteness & the Multiverse – Joel David Hamkins": https://infinitelymore.xyz/
→ references Joel David Hamkins person

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Link in episode "#488 – Infinity, Paradoxes that Broke Mathematics, Gödel Incompleteness & the Multiverse – Joel David Hamkins": https://mathoverflow.net/users/1946/joel-david-hamkins
→ references Publications website

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evidence
Link in episode "#488 – Infinity, Paradoxes that Broke Mathematics, Gödel Incompleteness & the Multiverse – Joel David Hamkins": https://jdh.hamkins.org/publications

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websites 12

mentioned Lexpod website

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evidence
Link in episode "#488 – Infinity, Paradoxes that Broke Mathematics, Gödel Incompleteness & the Multiverse – Joel David Hamkins": https://masterclass.com/lexpod
mentioned miro.com website

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evidence
Link in episode "#488 – Infinity, Paradoxes that Broke Mathematics, Gödel Incompleteness & the Multiverse – Joel David Hamkins": https://miro.com/
mentioned Power website

0.45

evidence
Link in episode "#488 – Infinity, Paradoxes that Broke Mathematics, Gödel Incompleteness & the Multiverse – Joel David Hamkins": https://chevron.com/power
mentioned jdh.hamkins.org website

0.45

evidence
Link in episode "#488 – Infinity, Paradoxes that Broke Mathematics, Gödel Incompleteness & the Multiverse – Joel David Hamkins": https://jdh.hamkins.org/
mentioned infinitelymore.xyz website

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evidence
Link in episode "#488 – Infinity, Paradoxes that Broke Mathematics, Gödel Incompleteness & the Multiverse – Joel David Hamkins": https://infinitelymore.xyz/
mentioned Publications website

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evidence
Link in episode "#488 – Infinity, Paradoxes that Broke Mathematics, Gödel Incompleteness & the Multiverse – Joel David Hamkins": https://jdh.hamkins.org/publications
references Lexpod website

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evidence
Link in episode "#488 – Infinity, Paradoxes that Broke Mathematics, Gödel Incompleteness & the Multiverse – Joel David Hamkins": https://masterclass.com/lexpod
references miro.com website

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evidence
Link in episode "#488 – Infinity, Paradoxes that Broke Mathematics, Gödel Incompleteness & the Multiverse – Joel David Hamkins": https://miro.com/
references Power website

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evidence
Link in episode "#488 – Infinity, Paradoxes that Broke Mathematics, Gödel Incompleteness & the Multiverse – Joel David Hamkins": https://chevron.com/power
references jdh.hamkins.org website

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evidence
Link in episode "#488 – Infinity, Paradoxes that Broke Mathematics, Gödel Incompleteness & the Multiverse – Joel David Hamkins": https://jdh.hamkins.org/
references infinitelymore.xyz website

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evidence
Link in episode "#488 – Infinity, Paradoxes that Broke Mathematics, Gödel Incompleteness & the Multiverse – Joel David Hamkins": https://infinitelymore.xyz/
references Publications website

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evidence
Link in episode "#488 – Infinity, Paradoxes that Broke Mathematics, Gödel Incompleteness & the Multiverse – Joel David Hamkins": https://jdh.hamkins.org/publications

concepts 8

mentioned Technology concept

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Feed category: Technology
mentioned Science concept

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Feed category: Science
mentioned Society & Culture concept

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Feed category: Society & Culture
mentioned Philosophy concept

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Feed category: Philosophy
discusses Technology concept

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Feed category: Technology
discusses Science concept

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Feed category: Science
discusses Society & Culture concept

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Feed category: Society & Culture
discusses Philosophy concept

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Feed category: Philosophy

persons 6

mentioned Lex Fridman person

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Feed author/publisher: Lex Fridman
hosted by Lex Fridman person

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Feed author/publisher: Lex Fridman
mentioned perplexity.ai person

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evidence
Link in episode "#488 – Infinity, Paradoxes that Broke Mathematics, Gödel Incompleteness & the Multiverse – Joel David Hamkins": https://perplexity.ai/
mentioned Joel David Hamkins person

0.45

evidence
Link in episode "#488 – Infinity, Paradoxes that Broke Mathematics, Gödel Incompleteness & the Multiverse – Joel David Hamkins": https://mathoverflow.net/users/1946/joel-david-hamkins
references perplexity.ai person

0.38

evidence
Link in episode "#488 – Infinity, Paradoxes that Broke Mathematics, Gödel Incompleteness & the Multiverse – Joel David Hamkins": https://perplexity.ai/
references Joel David Hamkins person

0.38

evidence
Link in episode "#488 – Infinity, Paradoxes that Broke Mathematics, Gödel Incompleteness & the Multiverse – Joel David Hamkins": https://mathoverflow.net/users/1946/joel-david-hamkins

Episode description as stored

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: Sell stuff online. Go to https://shopify.com/lex LMNT: Zero-sugar electrolyte drink mix. Go to https://drinkLMNT.com/lex MasterClass: Online classes from world-class experts. Go to https://masterclass.com/lexpod OUTLINE: (00:00) – Introduction (01:58) – Sponsors, Comments, and Reflections (15:40) – Infinity & paradoxes (1:02:50) – Russell’s paradox (1:15:57) – Gödel’s incompleteness theorems (1:33:28) – Truth vs proof (1:44:52) – The Halting Problem (2:00:45) – Does infinity exist? (2:18:19) – MathOverflow (2:22:12) – The Continuum Hypothesis (2:31:58) – Hardest problems in mathematics (2:41:25) – Mathematical multiverse (3:00:18) – Surreal numbers (3:10:55) – Conway’s Game of Life (3:13:11) – Computability theory (3:23:04) – P vs NP (3:26:21) – Greatest mathematicians in history (3:40:05) – Infinite chess (3:58:24) – Most beautiful idea in mathematics