Journal of Philosophical Logic 44 (6):771-780 (2015)

David Ripley
Monash University
In some logics, anything whatsoever follows from a contradiction; call these logics explosive. Paraconsistent logics are logics that are not explosive. Paraconsistent logics have a long and fruitful history, and no doubt a long and fruitful future. To give some sense of the situation, I’ll spend Section 1 exploring exactly what it takes for a logic to be paraconsistent. It will emerge that there is considerable open texture to the idea. In Section 2, I’ll give some examples of techniques for developing paraconsistent logics. In Section 3, I’ll discuss what seem to me to be some promising applications of certain paraconsistent logics. In fact, however, I don’t think there’s all that much to the concept ‘paraconsistent’ itself; the collection of paraconsistent logics is far too heterogenous to be very productively dealt with under a single label. Perhaps that will emerge as we go.
Keywords Paraconsistent logic  Negation  Explosion
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DOI 10.1007/s10992-015-9358-6
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Towards Non-Being: The Logic and Metaphysics of Intentionality.Graham Priest - 2005 - Oxford, England: Oxford University Press.

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Paraconsistency and its Philosophical Interpretations.Eduardo Barrio & Bruno Da Re - 2018 - Australasian Journal of Logic 15 (2):151-170.
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Rosy with Sider? The Case of the Metaphysical Liar.Simon Hewitt - 2018 - Journal of Philosophical Logic 47 (5):787-801.

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