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.
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| 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
Reasoning About Knowledge.Ronald Fagin, Joseph Y. Halpern, Yoram Moses & Moshe Vardi - 1995 - MIT Press.
The Incomplete Universe: Totality, Knowledge, and Truth.Patrick Grim - 1991 - Cambridge: Mass.: Mit Press.
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Citations of this work BETA
A Note on Logics of Ignorance and Borders.Christopher Steinsvold - 2008 - Notre Dame Journal of Formal Logic 49 (4):385-392.
Some Formal Semantics for Epistemic Modesty.Christopher Steinsvold - 2020 - Logic and Logical Philosophy 29 (3):381-413.
A Canonical Topological Model for Extensions of K4.Christopher Steinsvold - 2010 - Studia Logica 94 (3):433 - 441.
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