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Recursion and the Axiom of Infinity

Antonio Leon
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Abstract

This paper examines the completion of an w-ordered sequence of recursive definitions which on the one hand defines an increasing sequence of nested set and on the other redefines successively a numeric variable as the cardinal of the successively defined nested sets. The consequence is a contradiction involving the consistency of w-order and then that of the Axiom of Infinity.

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Antonio Leon. 2006-09-07. Recursion and the Axiom of Infinity. https://arxiv.org/abs/math/0609190

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