Supervaluationism and Classical Logic

In Rick Nouwen, Robert van Rooij, Hans-Christian Schmitz & Uli Sauerland (eds.), Vagueness in Communication, Lecture Notes in Computer Science, Vol. 6517. Springer (2011)
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Abstract
This paper is concerned with the claim that supervaluationist consequence is not classical for a language including an operator for definiteness. Although there is some sense in which this claim is uncontroversial, there is a sense in which the claim must be qualified. In particular I defend Keefe's position according to which supervaluationism is classical except when the inference from phi to Dphi is involved. The paper provides a precise content to this claim showing that we might provide complete (and sound) systems of deduction for supervaluationist consequence in which proofs are completely classical with the exception of a single last step (involving the above mentioned inference).
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First archival date: 2010-11-08
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