Why Priest's reassurance is not reassuring

Analysis 72 (3):517-525 (2012)
In the service of paraconsistent (indeed, ‘dialetheic’) theories, Graham Priest has long advanced a non-monotonic logic (viz., MiLP) as our ‘universal logic’ (at least for standard connectives), one that enjoys the familiar logic LP (for ‘logic of paradox’) as its monotonic core (Priest, G. In Contradiction , 2nd edn. Oxford: Oxford University Press. First printed by Martinus Nijhoff in 1987: Chs. 16 and 19). In this article, I show that MiLP faces a dilemma: either it is (plainly) unsuitable as a universal logic or its role as a ‘universal logic’ (indeed, its role full stop) is a mystery. While familiarity with the basic ideas of dialetheism is assumed, formal details of the target logics are relegated to an appendix; the basic problem is evident without them
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DOI 10.1093/analys/ans069
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On Priest on Nonmonotonic and Inductive Logic.Greg Restall - 2016 - Thought: A Journal of Philosophy 5 (2):119-124.
Logic, Reasoning and Revision.Patrick Allo - 2016 - Theoria 82 (1):3-31.
Comment on Restall.Graham Priest - 2016 - Thought: A Journal of Philosophy 5 (2):125-125.

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