From worlds to probabilities: A probabilistic semantics for modal logic
Journal of Philosophical Logic 22 (2):169 - 192 (1993)
| Abstract | I develop a probabilistic semantics for modal logic that generalizes the quantificational apparatus of Kripke models. Soundness and completeness theorems are proved for propositional M, B, S4, and S5. My semantics formalizes the idea that uncertainty about modal claims like "Possibly-A" arises from the fact that thought experiments which test the intelligibility of A may be inconclusive for a given agent. On this view, an agent who is uncertain about "Possibly-A" assigns at least as much credibility to "Possibly-A" as s/he assigns to A in any of the inconclusive thought experiments, but not more. | |||||||||
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