#488 – Infinity, Paradoxes that Broke Mathematics, Gödel Incompleteness & the Multiverse – Joel David Hamkins
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Infinity changes when it’s treated as mathematical structure
The episode moves from intuitive paradoxes into set theory, the continuum hypothesis, surreal numbers, and infinite chess. Everyday language treats infinity as one vague endlessness, while mathematics distinguishes sizes and formal roles. Those distinctions explain why intuition can start the conversation but can't finish the argument.
After Poddy editorial starter Based on the episode chapter notes.
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