Logic and Logical Philosophy 22 (1):89-130 (2013)

Authors
Ricardo Sousa Silvestre
Federal University of Campina Grande
Abstract
In this two-part 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.2013.006
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Modality, Paraconsistency and Paracompleteness.Ricardo Sousa Silvestre - 2006 - In Guido Governatori, Ian Hodkinson & Yde Venema (eds.), Advances in Modal Logic, Volume 6. CSLI Publications. pp. 449-467.

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