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Frontiers of Philosophy in China

Front. Philos. China    2007, Vol. 2 Issue (4) : 629-644     https://doi.org/10.1007/s11466-007-0041-z
Plausibility, necessity and identity: A logic of relative plausibility*
LI Xiaowu, WEN Xuefeng
Institute of Logic and Cognition, Sun Yat-sen University, Guangzhou 510275, China;
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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.
Issue Date: 05 December 2007
 Cite this article:   
WEN Xuefeng,LI Xiaowu. Plausibility, necessity and identity: A logic of relative plausibility*[J]. Front. Philos. China, 2007, 2(4): 629-644.
 URL:  
http://journal.hep.com.cn/fpc/EN/10.1007/s11466-007-0041-z
http://journal.hep.com.cn/fpc/EN/Y2007/V2/I4/629
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