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

Authors
Ricardo Silvestre
Federal University of Campina Grande
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
Keywords paracomplete logic  modal logic  inductive plausibility  paraconsistent logic
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DOI 10.12775/LLP.2012.005
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On the Theory of Inconsistent Formal Systems.Newton C. A. da Costa - 1974 - Notre Dame Journal of Formal Logic 15 (4):497-510.
Studies in the Logic of Confirmation.Carl A. Hempel - 1983 - In Peter Achinstein (ed.), The Concept of Evidence. Oxford University Press. pp. 1-26.
Inductive Inconsistencies.Carl Gustav Hempel - 1960 - Synthese 12 (4):439-69.

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