Plausibility, necessity and identity: A logic of relative plausibility

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Frontiers of Philosophy in China 2 (4):629-644 (2007)
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Abstract

We construct a Hilbert style system RPL for the notion of plausibility measure introduced by Halpern J, and we prove the soundness and completeness with respect to a neighborhood style semantics. Using the language of RPL, we demonstrate that it can define well-studied notions of necessity, conditionals and propositional identity.

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10.1007/s11466-007-0041-z

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Counterfactuals.David Lewis - 1973 - Foundations of Language 13 (1):145-151.
Pragmatics and intensional logic.Richard Montague - 1970 - Synthese 22 (1-2):68--94.
Topics in Conditional Logic.D. Nute - 1980 - Tijdschrift Voor Filosofie 46 (2):375-375.

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