Paranormal modal logic – Part II: K?, K and Classical Logic and other paranormal modal systems

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

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Ricardo Silvestre
Federal University of Campina Grande

References found in this work

Modality, Paraconsistency and Paracompleteness.Ricardo Sousa Silvestre - 1998 - In Marcus Kracht, Maarten de Rijke, Heinrich Wansing & Michael Zakharyaschev (eds.), Advances in Modal Logic. CSLI Publications. pp. 449-467.

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