Online research in philosophy

Singular-term semantics has been intractable. Frege took the referents of singular terms to be their semantic values. On his account, vacuous terms lacked values. Russell separated the semantics of definite descriptions from the semantics of proper names, which caused truth-values to be composed in two different ways and still left vacuous names without values. Montague gave all noun phrases sets of verb-phrase extensions for values, which created type mismatches when noun phrases were objects and still left vacuous names without values. (...) There is a single type of value for all noun phrases that dissolves the difficulties which have beset singular-term semantics. (shrink)

It is generally accepted that Mill’s classification of names as nonconnotative terms is incompatible with Frege’s thesis that names have senses. However, Milldescribed the senses of nonconnotative terms—without being aware that he was doing so. These are the senses for names that were sought in vain by Frege. When Mill’s and Frege’s doctrines are understood as complementary, they constitute a fully satisfactory theory of names.