Paraconsistency and its Philosophical Interpretations

Australasian Journal of Logic 15 (2):151-170 (2018)
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Abstract

Many authors have considered that the notions of paraconsistency and dialetheism are intrinsically connected, in many cases, to the extent of confusing both phenomena. However, paraconsistency is a formal feature of some logics that consists in invalidating the rule of explosion, whereas dialetheism is a semantical/ontological position consisting in accepting true contradictions. In this paper, we argue against this connection and show that it is perfectly possible to adopt a paraconsistent logic and reject dialetheism, and, moreover, that there are examples of non-paraconsistent logics that can be interpreted in a dialetheic way.

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Author Profiles

Eduardo Alejandro Barrio
Universidad de Buenos Aires (UBA)
Bruno Da Re
Universidad de Buenos Aires (UBA)

Citations of this work

Paraconsistent logic.Graham Priest - 2008 - Stanford Encyclopedia of Philosophy.
Conjunctive paraconsistency.Franca D’Agostini - 2021 - Synthese 199 (3-4):6845-6874.
Hegel’s Interpretation of the Sorites.Franca D’Agostini - 2023 - History and Philosophy of Logic 44 (2):132-150.
Hegel’s Interpretation of the Liar Paradox.Franca D’Agostini & Elena Ficara - 2021 - History and Philosophy of Logic 43 (2):105-128.

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On the theory of inconsistent formal systems.Newton C. A. Costa - 1972 - Recife,: Universidade Federal de Pernambuco, Instituto de Matemática.

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