English

The Consistency of $ZFC+CIFS$

Logic 2008-02-03 v1

Abstract

This paper is a technical continuation of ``Natural Axiom Schemata Extending ZFC. Truth in the Universe?'' In that paper we argue that CIFSCIFS is a natural axiom schema for the universe of sets. In particular it is a natural closure condition on VV and a natural generalization of IFS(L).IFS(L). Here we shall prove the consistency of ZFC + CIFSZFC\ +\ CIFS relative to the existence of a transitive model of ZFCZFC using the compactness theorem together with a class forcing.

Keywords

Cite

@article{arxiv.math/9304203,
  title  = {The Consistency of $ZFC+CIFS$},
  author = {Garvin Melles},
  journal= {arXiv preprint arXiv:math/9304203},
  year   = {2008}
}
R2 v1 2026-07-22T17:54:15.934Z