Keelefilosoofia raamat
imply being Millian. For definite descriptions can be rigid. Suppose we fall in
with the prevalent view that arithmetical truths are all necessary truths. Then
there are arithmetical descriptions, such as "the positive square root of nine,"
that are rigid, because they designate the same number in every possible
world, but are certainly not Millian because in order to secure their reference
they exploit their conceptual content. Indeed, they seem to Russellize: "The
positive square root of nine" seems to mean whatever positive number yields
nine when multiplied by itself. So that description is not Millian even though
it is rigid, because it does not simply introduce its bearer (the number three)
into the discourse; it also characterizes three as being something that when
multiplied by itself yields nine. Thus, in defending the rigidity of names,
Kripke did not thereby establish the stronger claim. (Nor did he intend to;