EPISODE · Jan 10, 2026 · 6 MIN
Peano Axioms Unpacked: Zero, Successor, and the Logic of Counting
from Intellectually Curious · host Mike Breault
A concise tour of the axioms that ground the natural numbers. We explore zero, the successor function, and induction, show how addition is defined recursively, and glimpse the deep questions about consistency and the existence of non-standard models in first-order logic.Note: This podcast was AI-generated, and sometimes AI can make mistakes. Please double-check any critical information.Sponsored by Embersilk LLC
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Peano Axioms Unpacked: Zero, Successor, and the Logic of Counting
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