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VARIETIES OF CLASS-THEORETIC POTENTIALISM
Published online by Cambridge University Press: 22 May 2023
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 $\mathsf {.2}$ and $\mathsf {.3}$ axioms). We then discuss the significance of these results for the different kinds of class-theoretic potentialists.
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- © The Author(s), 2023. Published by Cambridge University Press on behalf of The Association for Symbolic Logic