NF is Consistent

M. Randall Holmes; Sky Wilshaw

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arXiv · 1503.01406

NF is Consistent

M. Randall Holmes·Sky Wilshaw

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Abstract

In this paper we will present a proof of the consistency of Quine's set theory "New Foundations" (hereinafter NF), so-called after the title of the 1937 paper in which it was introduced. This version takes the approach of building a model of tangled type theory rather than a model of the usual set theory without choice with a tangled web of cardinals; further, details of the construction are refined due to interaction with the now complete verification in Lean by the second author.

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BibTeX RIS

M. Randall Holmes, Sky Wilshaw. 2015-03-04. NF is Consistent. https://arxiv.org/abs/1503.01406

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