The Foundations of Mathematics in the Physical Reality

Por • 16 nov, 2013 • Sección: Crítica

D. H. Homan

Abstract: The mathematical concept of a set can be used as the foundation for all known mathematics, and the assertions known as the Peano axioms for the set of all natural numbers are used to be considered as the fountainhead of all mathematical knowledge. In «The Foundations of Mathematics in the Physical Reality» is given an axiomatic definition of sets and of the natural numbers. As close as possible are followed the common axioms used in the literature. But there are big differences.

arXiv:1311.3168v1 [math.LO]

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