Plausibility, necessity and identity: A logic of relative plausibility*

doi:10.1007/s11466-007-0041-z

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Front. Philos. China ›› 2007, Vol. 2 ›› Issue (4) : 629-644. DOI: 10.1007/s11466-007-0041-z

Plausibility, necessity and identity: A logic of relative plausibility*

LI Xiaowu, WEN Xuefeng

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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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LI Xiaowu, WEN Xuefeng. Plausibility, necessity and identity: A logic of relative plausibility*. Front. Philos. China, 2007, 2(4): 629‒644 https://doi.org/10.1007/s11466-007-0041-z