English

Invariance under permutations as a semantic motivation for Stratification

Logic 2020-12-16 v1

Abstract

This article examines the notion of invariance under different kinds of permutations in a milieu of a theory of classes and sets, as a semantic motivation for Quine's new foundations "NF". The approach largely depends on interpreting a finite axiomatization of NF beginning from the least restrictions on permutations and then gradually upgrading those restrictions as to enable interpreting NF. Comparisons with earlier works are drawn.

Keywords

Cite

@article{arxiv.2012.08299,
  title  = {Invariance under permutations as a semantic motivation for Stratification},
  author = {Zuhair Al-Johar},
  journal= {arXiv preprint arXiv:2012.08299},
  year   = {2020}
}

Comments

12 pages

R2 v1 2026-06-23T20:59:10.519Z