Which Modal Machinery Should the Set-Theoretic Potentialist Use?
Abstract
Abstract Accepting some form of potentialist set theory promises to help us solve puzzles about the intended height of the hierarchy of sets. However, philosophers have developed two different schools of potentialist set theory: minimalist and dependence-based approaches. In this paper, I will argue that minimalist formulations of potentialism have some important advantages over dependence-based formulations.
Fields of Study & Subjects
Philosophy and Theoretical Science
Embodied and Extended Cognition
Philosophy and History of Science
Publication details
- Journal / source
- Philosophia Mathematica
- Publisher
- Oxford University Press (OUP)
- Volume
- 34
- Issue
- 1
- Pages
- 35–62
- Publication date
- 2 January 2026
- Language
- EN