A deep dive into the foundations of natural numbers: the five Peano axioms (lovingly called the Pino Axioms in our conversation), how they generate all of arithmetic through induction, the surprising world of non-standard models, Gödel’s incompleteness, and their real‑world impact from computing to formal reasoning. Guided by a Fields Medalist, this episode blends history, intuition, and paradox to reveal the power—and limits—of formal arithmetic.

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