Full Idea
According to Wittgenstein (and Searle) the referent of a name is determined not by a single description but by some cluster or family.
Gist of Idea
A name is not determined by a description, but by a cluster or family
Source
report of Ludwig Wittgenstein (Philosophical Investigations [1952], §079) by Saul A. Kripke - Naming and Necessity lectures Lecture 1
Book Reference
Kripke,Saul: 'Naming and Necessity' [Blackwell 1980], p.31
A Reaction
It is because of this characteristically woolly, indeterminate and relativist view of Wittgenstein that I (and most people) find Kripke's notion of a 'baptism' so refreshing. It cuts throught the fog of language, and connects to reality.