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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Keywords | paracomplete logic modal logic inductive plausibility paraconsistent logic |
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DOI | 10.12775/LLP.2013.006 |
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References found in this work BETA
Paranormal Modal Logic–Part I: The System K? And the Foundations of the Logic of Skeptical and Credulous Plausibility.Ricardo S. Silvestre - 2012 - Logic and Logical Philosophy 21 (1):65-96.
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.
Citations of this work BETA
Paranormal Modal Logic–Part I: The System K? And the Foundations of the Logic of Skeptical and Credulous Plausibility.Ricardo S. Silvestre - 2012 - Logic and Logical Philosophy 21 (1):65-96.
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2013-10-29
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