Logical Objects in Frege's Grundgesetze, Section 10

Abstract

In this paper, I discuss three main issues concerning Frege's arguments in Grundgesetze, Section 10. (1) I argue against the view according to which Frege's procedure is insufficient to guarantee that names of extensions (or, more generally, names of value‐ranges) are really referential. (2) I discuss whether Frege meant to include other kinds of objects besides truth‐values and value‐ranges in the range of first‐order variables of his logical system. Finally, (3) I challenge the view according to which Frege's decision to make some stipulations concerning the identity of value‐ranges is incompatible with his alleged Platonism. Central to my approach is an elucidation of Frege's views on logical objects.