Varieties of class-theoretic potentialism
Logic
2023-03-16 v4
Abstract
We explain and explore class-theoretic potentialism -- the view that one can always individuate more classes over a set-theoretic universe. We examine some motivations for class-theoretic potentialism, before proving some results concerning the relevant potentialist systems (in particular exhibiting failures of the .2 and .3 axioms). We then discuss the significance of these results for the different kinds of class-theoretic potentialist.
Keywords
Cite
@article{arxiv.2108.01543,
title = {Varieties of class-theoretic potentialism},
author = {Neil Barton and Kameryn J. Williams},
journal= {arXiv preprint arXiv:2108.01543},
year = {2023}
}
Comments
(Updated after review.)