PARACONSISTENT CONTRADICTION IN CONTEXT

  • Jonas Rafael Becker Arenhart UFSC

Resumo

Paraconsistent logics are said to domesticate contradictions: in such logics, expressions such as α and ¬α do not trivialize the theory. In this sense, we are able to violate the Law of Non-Contradiction. The main problem with this kind of characterization concerns the fact that whenever expressions such as α and ¬α are both true, they are no longer a contradiction, but at best a subcontrariety. So, perhaps the biggest challenge consists in explaining what is meant by a ‘paraconsistent contradiction’, that is, by a pair of expressions such as α and ¬α when ‘¬’ is a paraconsistent negation. We suggest that there is a sensible sense in which such expressions may be understood, involving the introduction of distinct contexts from which α and ¬α are uttered. In this sense, we can read those expressions as formalizing subcontrariety and provide for an intuitive meaning for ‘paraconsistent contradictions’.

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Biografia do Autor

Jonas Rafael Becker Arenhart, UFSC
Professor of Philosophy at the Federal University of Santa Catarina, Florianópolis, Brazil.
Publicado
30-06-2016
Como Citar
ARENHART, J. R. B. PARACONSISTENT CONTRADICTION IN CONTEXT. Saberes: Revista interdisciplinar de Filosofia e Educação, n. Esp, 30 jun. 2016.