Flaws in Dummett’s Syntactical Account of Singular Terms

Abstract

Dummett defines a ‘predicate’ as that which combines with one or more singular terms to form a sentence. His account of ‘singular term’ is syntactical, involving three necessary conditions. He discusses a fourth, ‘Aristotelian’, criterion before propounding a criterion of predicate quantification which he claims to be superior to it. He tentatively proposes that the three necessary conditions plus the criterion of predicate quantification yield sufficient conditions for being a singular term. I show that Dummett’s necessary conditions fail with regard to referentially opaque contexts, negative existentials and wide-scope negations, and that he overlooks an important class of predicative expressions that satisfy his three supposedly necessary conditions for singular terms, namely, those that may appear either as adjectives or as nouns. I argue that Dummett cannot use the ‘Aristotelian’ criterion without circularity; and that, in any case, the ‘Aristotelian’ criterion fails dramatically. I also show that his criterion of predicate quantification fails with regard to expressions for colours. I end by casting doubts on the adequacy of any purely syntactical approach.

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