Journal of Philosophical Logic 37 (1):45-56 (2008)

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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.
Keywords belief  epistemology  grim  modal logic  topology
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DOI 10.1007/s10992-007-9055-1
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References found in this work BETA

The Logic of Reliable Inquiry.Kevin T. Kelly - 1996 - Oxford, England: Oxford University Press USA.
A Paradox Regained.D. Kaplan & R. Montague - 1960 - Notre Dame Journal of Formal Logic 1 (3):79-90.

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