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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Greg Restall (2016). On Priest on Nonmonotonic and Inductive Logic. Thought: A Journal of Philosophy 5 (2):119-124.
Graham Priest (2016). Comment on Restall. Thought: A Journal of Philosophy 5 (2):125-125.

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Similar books and articles
Graham Priest (1991). Minimally Inconsistent LP. Studia Logica 50 (2):321 - 331.
Elena Ficara (2013). Dialectic and Dialetheism. History and Philosophy of Logic 34 (1):35-52.
Heinrich Wansing (2006). Contradiction and Contrariety. Priest on Negation. Poznan Studies in the Philosophy of the Sciences and the Humanities 91 (1):81-93.
Jürgen Dümont & Frank Mau (1998). Are There True Contradictions? A Critical Discussion of Graham Priest's, Beyond the Limits of Thought. Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 29 (2):289-299.
Matti Eklund (2008). Reply to Beall and Priest. Australasian Journal of Philosophy 6:94-106.

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