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

Joel David Hamkins joins to talk about set theory, the foundations of mathematics, and the nature of infinity. They work through paradoxes, Russell's paradox, Godel's incompleteness theorems, and the gap between truth and proof. The conversation also covers the continuum hypothesis, the mathematical multiverse, surreal numbers, P vs NP, and whether infinity really exists.