Abstract

Frege's obscure key concept of the unsaturatedness of functions is clarified with the help of the concepts of dependent and independent parts and foundation relations used by Husserl in describing the ontology of complex wholes. Sentential unity in Frege, Husserl and Wittgenstein: all have a similar explanation. As applied to linguistic expressions, the terms 'unsaturated' and 'incomplete' are ambiguous: they may mean the ontological property of Unselbständigkeit, inability to exist alone, or the property of being what categorial grammar calls a functor. Separation of these two senses resolves a dispute between Dummett and Geach on the nature of predicates.