Making Sense of Paraconsistent Logic: The Nature of Logic, Classical Logic and Paraconsistent Logic

In Francesco Berto, Edwin Mares, Koji Tanaka & Francesco Paoli (eds.), Paraconsistency: Logic and Applications. Springer. pp. 15--25 (2013)
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Max Cresswell and Hilary Putnam seem to hold the view, often shared by classical logicians, that paraconsistent logic has not been made sense of, despite its well-developed mathematics. In this paper, I examine the nature of logic in order to understand what it means to make sense of logic. I then show that, just as one can make sense of non-normal modal logics (as Cresswell demonstrates), we can make `sense' of paraconsistent logic. Finally, I turn the tables on classical logicians and ask what sense can be made of explosive reasoning. While I acknowledge a bias on this issue, it is not clear that even classical logicians can answer this question.



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Koji Tanaka
Australian National University

Citations of this work

Logically Impossible Worlds.Koji Tanaka - 2018 - Australasian Journal of Logic 15 (2):489.
Logique, Raisonnement et Rationalité.Matías Osta-Vélez - 2014 - Dissertation, Université de Paris 1 Panthéon-Sorbonne

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References found in this work

A New Introduction to Modal Logic.M. J. Cresswell & G. E. Hughes - 1996 - New York: Routledge. Edited by M. J. Cresswell.
Semantical Analysis of Modal Logic I. Normal Propositional Calculi.Saul A. Kripke - 1963 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 9 (5‐6):67-96.
Paraconsistent logic.Graham Priest - 2008 - Stanford Encyclopedia of Philosophy.
Beginning Logic.Sarah Stebbins - 1967 - London, England: Hackett Publishing.

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