English

A Theory of Particular Sets

Logic 2019-06-14 v2

Abstract

ZFC has sentences that quantify over all sets or all ordinals, without restriction. Some have argued that sentences of this kind lack a determinate meaning. We propose a set theory called TOPS, using Natural Deduction, that avoids this problem by speaking only about particular sets.

Keywords

Cite

@article{arxiv.1905.02718,
  title  = {A Theory of Particular Sets},
  author = {Paul Blain Levy},
  journal= {arXiv preprint arXiv:1905.02718},
  year   = {2019}
}

Comments

12 pages

R2 v1 2026-06-23T08:59:34.720Z