Characterizing existence of a measurable cardinal via modal logic

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Journal of Symbolic Logic 86 (1):162-177 (2021)
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Abstract

We prove that the existence of a measurable cardinal is equivalent to the existence of a normal space whose modal logic coincides with the modal logic of the Kripke frame isomorphic to the powerset of a two element set.

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10.1017/jsl.2021.5

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Nick Bezhanishvili
University of Amsterdam

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References found in this work

Modal Logic.Yde Venema, Alexander Chagrov & Michael Zakharyaschev - 2000 - Philosophical Review 109 (2):286.
An ascending chain of S4 logics.Kit Fine - 1974 - Theoria 40 (2):110-116.
Set Theory.Thomas Jech - 1999 - Studia Logica 63 (2):300-300.

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