Kripke's argument against the identity theory in the philosophy of mind runs as follows. Suppose some psychophysical identity statement S is true. Then S would seem to be contingent at least in the sense that S seems possibly false. And given that seeming contingency entails genuine contingency when it comes to such statements S is contingent. But S is necessary if true. So S is false. This entry considers responses to each of the three premises. It turns out that each (...) response does not fully withstand scrutiny, and so Kripke's conclusion is hard to resist. Section 1 lays out Kripke's argument, and Sections 2 to 4 then discuss responses to each of the three premises respectively. (shrink)