On the presuppositions of number sentences

Abstract

This paper is concerned with an intuitive contrast that arises when we consider sentences containing empty definite descriptions. A sentence like ‘The king of France is bald’ appears neither true nor false, while a sentence like ‘My friend was visited by the king of France’ appears false. Recently, Stephen Yablo has suggested an account of this intuitive contrast. Yablo’s account is particularly interesting, since it has important consequences for the ontological commitments of number sentences like ‘The number of planets is even’. However, the paper argues that Yablo’s account is not convincing and that it can thus not establish these consequences. Further, it develops a Strawsonian account of the intuitive contrast. The developed account allows us to draw important conclusions regarding the correct analysis of definite descriptions and of existence sentences containing definite descriptions