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The Axiom of Infinity: Founding Arithmetic in Set Theory

The Axiom of Infinity: Founding Arithmetic in Set Theory

by Jean Barbet | Dec 10, 2024 | Logic, Number Theory, Set Theory

We explore the foundation of natural arithmetic starting from Peano’s axioms within set theory, revealing an innovative approach to conceptualizing natural numbers. We question the traditional use of ordinals and propose an alternative formulation of the axiom...

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