English

The consistency strength of NFUB

Logic 2008-02-03 v1

Abstract

We show that the consistency strength of the system NFUB, a variant of Quine's "New Foundations" recently introduced by Randall Holmes, is precisely that of [ZFC - Power Set] + "There is a weakly compact cardinal''. This is a preliminary draft of the paper. Nevertheless, it contains a complete proof.

Cite

@article{arxiv.math/9707207,
  title  = {The consistency strength of NFUB},
  author = {Robert M. Solovay},
  journal= {arXiv preprint arXiv:math/9707207},
  year   = {2008}
}
R2 v1 2026-07-22T17:56:52.845Z