 According to Kaplan, proper names are context-invariant: they always have the very same content irrespective of the context in which they are used. Proper names are also rigid designators: they pick out a single individual at every possible world. The upshot is that the 2D matrix for a proper name will be completely uniform: the very same individual appears in every cell of the matrix. This reflects the idea that the semantic function of a name in a public language is simply to pick out a particular individual, not to convey any information about how to identify the individual in question. [For a different account of proper names, see §2.2 below.]