Abstract

Michael Dummett has attempted to give an account of the semantics of abstract singular terms which steers a middle course between reductionism and full-blown Platonism concerning their references: according to this middle position, reference, in the case of abstract singular terms, becomes "a matter wholly internal to the language." My main aim in this paper is to show that Dummett's arguments are in some considerable tension with more general features of his interpretation of Frege's philosophical semantics, so that given a reiteration of his arguments against the reductionist, the Platonist position seems to be the only available alternative.