Conjunction and Contradiction

In Graham Priest, Jc Beall & Bradley P. Armour-Garb (eds.), The law of non-contradiction : new philosophical essays. New York: Oxford University Press. pp. 93–110 (2004)
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Abstract

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.

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Achille C. Varzi
Columbia University

References found in this work

Vagueness, truth and logic.Kit Fine - 1975 - Synthese 30 (3-4):265-300.
Logical pluralism.Jc Beall & Greg Restall - 2000 - Australasian Journal of Philosophy 78 (4):475 – 493.
Singular terms, truth-value gaps, and free logic.Bas C. van Fraassen - 1966 - Journal of Philosophy 63 (17):481-495.
Three Grades of Modal Involvement.W. V. Quine - 1953 - Proceedings of the XIth International Congress of Philosophy 14:65-81.

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