Comparing Anti-foundation Axioms by Comparing Identity Conditions for Sets

Autor:	Ju, Daheng, Jing, Qihang
Rok vydání:	2024
Předmět:	Mathematics - Logic
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2412.05914 Zobrazit plný text záznamu View this record from Arxiv