Frege's conception of the reference of a general term

Abstract

Gottlob Frege distinguished between sense and reference of expressions. 'Sense' according to him is that what the expression means, 'reference' is that what is designated by it. This distinction concerns both singular and general terms but Frege’s analyses focused on general terms are much less known. It is crucial, I argue, to appreciate the importance of the fact that the reference of a general term is, according to Frege, a concept – identified with an unsaturated function in the Fregean sense, i.e. not a set, and not a mapping. In this way Frege can keep some important intuitions about universals – for instance that we can have a general concept (know a property or a relation) even if we don’t know which objects fall under it. I also try to show that it is not clear whether Frege really defended the thesis usually attributed to him that the identity of concepts is guaranteed solely by their coextensivity.