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- W3039241356 abstract "Abstract We define a potentialist system of ‐structures, i.e., a collection of possible worlds in the language of connected by a binary accessibility relation , achieving a potentialist account of the full background set‐theoretic universe V . The definition involves Berkeley cardinals, the strongest known large cardinal axioms, inconsistent with the Axiom of Choice. In fact, as background theory we assume just . It turns out that the propositional modal assertions which are valid at every world of our system are exactly those in the modal theory . Moreover, we characterize the worlds satisfying the potentialist maximality principle, and thus the modal theory , both for assertions in the language of and for assertions in the full potentialist language." @default.
- W3039241356 created "2020-07-10" @default.
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- W3039241356 date "2022-07-06" @default.
- W3039241356 modified "2023-09-26" @default.
- W3039241356 title "Choiceless large cardinals and set‐theoretic potentialism" @default.
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- W3039241356 doi "https://doi.org/10.1002/malq.202000026" @default.
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