Paranormal modal logic–Part I: The system K? and the foundations of the Logic of skeptical and credulous plausibility

Logic and Logical Philosophy 21 (1):65-96 (2012)
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Abstract

In this two-parts paper we present paranormal modal logic: a modal logic which is both paraconsistent and paracomplete. Besides using a general framework in which a wide range of logics  including normal modal logics, paranormal modal logics and classical logic can be defined and proving some key theorems about paranormal modal logic (including that it is inferentially equivalent to classical normal modal logic), we also provide a philosophical justification for the view that paranormal modal logic is a formalization of the notions of skeptical and credulous plausibility

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Ricardo Silvestre
Federal University of Campina Grande

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Probability and the Logic of Rational Belief.Henry Ely Kyburg - 1961 - Middletown, CT, USA: Wesleyan University Press.

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