Authors
Alexandre Costa-Leite
Universidade de Brasília
Diogo Dias
State University of Northern Parana - UENP
Abstract
This paper is an attempt to solve the following problem: given a logic, how to turn it into a paraconsistent one? In other words, given a logic in which ex falso quodlibet holds, how to convert it into a logic not satisfying this principle? We use a framework provided by category theory in order to define a category of consequence structures. Then, we propose a functor to transform a logic not able to deal with contradictions into a paraconsistent one. Moreover, we study the case of paraconsistentization of propositional classical logic.
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DOI 10.1080/11663081.2016.1225487
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References found in this work BETA

Paraconsistent Logic.Graham Priest - 2008 - Stanford Encyclopedia of Philosophy.
On Inferences From Inconsistent Premises.Nicholas Rescher & Ruth Manor - 1970 - Theory and Decision 1 (2):179-217, 1970-1971.
Logic, Semantics, Metamathematics.L. Jonathan Cohen - 1958 - Philosophical Quarterly 8 (30):87-88.

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Citations of this work BETA

Pluralismo, Monismo e Relativismo Lógico.Diogo Dias - 2018 - Revista de Filosofia Moderna E Contemporânea 6 (2):21-36.

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