In Graham Priest, J. C. Beall & Bradley Armour-Garb (eds.), The Law of Non-Contradiction: New Philosophical Essays. Clarendon Press. pp. 93–110 (2004)

Achille C. Varzi
Columbia University
There are two ways of understanding the notion of a contradiction: as a conjunction of a statement and its negation, or as a pair of statements one of which is the negation of the other. Correspondingly, there are two ways of understanding the Law of Non-Contradiction (LNC), i.e., the law that says that no contradictions can be true. In this paper I offer some arguments to the effect that on the first (collective) reading LNC is non-negotiable, but on the second (distributive) reading it is perfectly plausible to suppose that LNC may, in some rather special and perhaps undesirable circumstances, fail to hold.
Keywords Paraconsistency  Supervaluationism  Subvaluationism
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References found in this work BETA

Vagueness, Truth and Logic.Kit Fine - 1975 - Synthese 30 (3-4):265-300.
Logical Pluralism.Jc Beall & Greg Restall - 2005 - Oxford University Press.
A Useful Four-Valued Logic.N. D. Belnap - 1977 - In J. M. Dunn & G. Epstein (eds.), Modern Uses of Multiple-Valued Logic. D. Reidel.
Singular Terms, Truth-Value Gaps, and Free Logic.Bas C. van Fraassen - 1966 - Journal of Philosophy 63 (17):481-495.

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Citations of this work BETA

Impossible Worlds.Francesco Berto - 2013 - Stanford Encyclopedia of Philosophy (2013).
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A Modality Called ‘Negation’.Francesco Berto - 2015 - Mind 124 (495):761-793.

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