Frontiers of Philosophy in China >

2007 , Vol. 2 >Issue 4: 629 - 644

DOI: https://doi.org/10.1007/s11466-007-0041-z

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

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  • Institute of Logic and Cognition, Sun Yat-sen University, Guangzhou 510275, China;

Published date: 05 Dec 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.

Cite this article

LI Xiaowu, WEN Xuefeng . Plausibility, necessity and identity: A logic of relative plausibility*[J]. Frontiers of Philosophy in China, 2007 , 2(4) : 629 -644 . DOI: 10.1007/s11466-007-0041-z

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