2015/03/04 by Holmes, M. Randall, Wilshaw, Sky · 1 citation
#03E70 03E35 03B38 #FOS: Mathematics #Logic (math.LO)
paper · doi:10.48550/arxiv.1503.01406
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.