Paraconsistent Logic!

Sorites 17:17-25 (2006)
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Abstract

We answer Slater's argument according to which paraconsistent logic is a result of a verbal confusion between «contradictories» and «subcontraries». We show that if such notions are understood within classical logic, the argument is invalid, due to the fact that most paraconsistent logics cannot be translated into classical logic. However we prove that if such notions are understood from the point of view of a particular logic, a contradictory forming function in this logic is necessarily a classical negation. In view of this result, Slater's argument sounds rather tautological

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Jean-Yves Beziau
Federal University of Rio de Janeiro

Citations of this work

Questions and Answers about Oppositions.Fabien Schang - 2011 - In Jean-Yves Beziau & Gillman Payette (eds.), The Square of Opposition: A General Framework for Cognition. Peter Lang. pp. 289-319.

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