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Characterizing Existence of a Measurable Cardinal Via Modal Logic
Journal of Symbolic Logic 86 (1):162-177 (2021)
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.Author's Profile
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Citations of this work
The Mckinsey–Tarski Theorem for Locally Compact Ordered Spaces.Guram Bezhanishvili, Nick Bezhanishvili, Joel Lucero-Bryan & Jan van Mill - 2021 - Bulletin of Symbolic Logic 27 (2):187-211.
References found in this work
Euclidean hierarchy in modal logic.Johan van Benthem, Guram Bezhanishvili & Mai Gehrke - 2003 - Studia Logica 75 (3):327-344.
On modal logics arising from scattered locally compact Hausdorff spaces.Guram Bezhanishvili, Nick Bezhanishvili, Joel Lucero-Bryan & Jan van Mill - 2019 - Annals of Pure and Applied Logic 170 (5):558-577.
Tychonoff hed-spaces and Zemanian extensions of s4.3.Guram Bezhanishvili, Nick Bezhanishvili, Joel Lucero-Bryan & Jan van Mill - 2018 - Review of Symbolic Logic 11 (1):115-132.
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