Since Hilary Putnam and Saul Kripke's first attacks on traditional, descriptivist theories of natural kind terms, it has become customary to speak of the ‘Putnam-Kripke’ view of meaning and reference. This article argues that this is a mistake, and that Putnam's account of natural kind terms is importantly different from that of Kripke. In particular, Putnam has from the very start been sceptical of Kripke's modal claims, and in later papers he explicitly rejects the proposal that theoretical identity statements are metaphysically necessary (if true). I suggest that this is wholly in line with Putnam's earlier, Quine-inspired writings on general terms, and his preoccupation with the philosophy of science. Moreover, I argue that the picture of general terms that emerges from Putnam's writings is more plausible than that suggested by Kripke. However, contrary to Putnam, I also suggest that Putnam's later views on natural kinds and natural kind terms do not support standard Twin Earth externalism.