A Grim Semantics For Logics of Belief |
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| Authors: | Christopher Steinsvold |
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| Institution: | (1) Department of Philosophy, Brooklyn College City University of New York, 2900 Bedford Avenue, Brooklyn, NY 11210, USA |
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| Abstract: | Patrick Grim has presented arguments supporting the intuition that any notion of a totality of truths is incoherent. We suggest
a natural semantics for various logics of belief which reflect Grim’s intuition. The semantics is a topological semantics,
and we suggest that the  condition can be interpreted to reflect Grim’s intuition. Beyond this, we present a natural canonical topological model for
K4 and KD4. |
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| Keywords: | belief epistemology grim modal logic topology |
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