Comparing Anti-foundation Axioms by Comparing Identity Conditions for Sets
Logic
2024-12-10 v1
Abstract
In non-well-founded set theory, which anti-foundation axiom is philosophically justified, BAFA, FAFA, SAFA, AFA, or some other? In this paper, we investigate a general approach to answering this question: first, consider which identity condition for sets is justified; second, consider which anti-foundation axiom it justifies. Specifically, we study in detail two plausible identity conditions.
Cite
@article{arxiv.2412.05914,
title = {Comparing Anti-foundation Axioms by Comparing Identity Conditions for Sets},
author = {Daheng Ju and Qihang Jing},
journal= {arXiv preprint arXiv:2412.05914},
year = {2024}
}