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An arguable inconsistency in ZF

Bhupinder Singh Anand
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Abstract

Classical theory proves that every primitive recursive function is strongly representable in PA; that formal Peano Arithmetic, PA, and formal primitive recursive arithmetic, PRA, can both be interpreted in Zermelo-Fraenkel Set Theory, ZF; and that if ZF is consistent, then PA+PRA is consistent. We show that PA+PRA is inconsistent; it follows that ZF, too, is inconsistent.

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Bhupinder Singh Anand. 2005-02-26. An arguable inconsistency in ZF. https://arxiv.org/abs/math/0502503

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