Natural Numbers: From Fingers to Infinity

We trace natural numbers from counting on our fingers and ancient tallying to the big ideas that reshape math—zero, the Peano axioms, well-ordering, and the jump to infinity. Along the way we’ll see surprising OEIS patterns, a link to the golden ratio, and a tidy fact that every natural number factors as 2^k times an odd number. This episode asks what these simple numbers reveal about math’s foundations, structure, and infinite horizons.

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