Pragmatic Interpretations of Vague Expressions: Strongest Meaning and Nonmonotonic Consequence

Journal of Philosophical Logic 44 (4):375-393 (2015)
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Abstract

Recent experiments have shown that naive speakers find borderline contradictions involving vague predicates acceptable. In Cobreros et al. we proposed a pragmatic explanation of the acceptability of borderline contradictions, building on a three-valued semantics. In a reply, Alxatib et al. show, however, that the pragmatic account predicts the wrong interpretations for some examples involving disjunction, and propose as a remedy a semantic analysis instead, based on fuzzy logic. In this paper we provide an explicit global pragmatic interpretation rule, based on a somewhat richer semantics, and show that with its help the problem can be overcome in pragmatics after all. Furthermore, we use this pragmatic interpretation rule to define a new consequence-relation and discuss some of its properties

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References found in this work

Vagueness.Timothy Williamson - 1994 - New York: Routledge.
Introduction to metamathematics.Stephen Cole Kleene - 1952 - Groningen: P. Noordhoff N.V..
Logic and Conversation.H. Paul Grice - 1975 - In Donald Davidson (ed.), The logic of grammar. Encino, Calif.: Dickenson Pub. Co.. pp. 64-75.
Vagueness, truth and logic.Kit Fine - 1975 - Synthese 30 (3-4):265-300.
Vagueness.Timothy Williamson - 1994 - British Journal for the Philosophy of Science 46 (4):589-601.

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