Recursion and the Axiom of Infinity

Details Recursion and the Axiom of Infinity Recursion and the Axiom of Infinity

2006-09-07

arxiv.org/abs/math/0609190v4

Mathematics

General Mathematics

Obsolete version

Scientific paper

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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