On a paraconsistentization functor in the category of consequence structures

Edelcio G. de Souza; Alexandre Costa-Leite; Diogo H. B. Dias

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arXiv · 1604.04227

On a paraconsistentization functor in the category of consequence structures

Edelcio G. de Souza·Alexandre Costa-Leite·Diogo H. B. Dias

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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 \emph{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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BibTeX RIS

Edelcio G. de Souza, Alexandre Costa-Leite, Diogo H. B. Dias. 2016-06-10. On a paraconsistentization functor in the category of consequence structures. https://arxiv.org/abs/1604.04227

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