Circular sets still evince circular dependencies
Abstract In a recent paper in this journal, Maia offers an argument against the claim that the existence of circular sets in some non-well-founded set theories provides evidence that ontological dependence is neither irreflexive nor anti-symmetric. Maia’s argument is crucially based on the idea that there is an epistemic parity between two principles of set-dependence. In this paper, I show that Maia’s argument is flawed: the two principles of set-dependence that Maia proposes should not be treated on a par.
Institutions
- Princeton University (US)
Publication Details
- Journal
- Analysis
- Published
- 2025-04-30
- DOI
- https://doi.org/10.1093/analys/anaf042
- Primary Topic
- Philosophy and Theoretical Science
- Type
- article
- Field-Weighted Citation Impact
- 0.00