According to ‘conceptual mismatch’ arguments, if there is a conceptual mismatch between the descriptions associated with an ordinary concept and some features of the alleged referent, then that entity cannot be the referent. This idea has been used in the metaphysics of race in order to develop arguments against realist theories of race. In particular, K. Anthony Appiah and Joshua Glasgow, among others, have argued that there are no real properties in the vicinity of our talk about race that can satisfy the descriptions that we associate with the term ‘race’, and therefore the most plausible candidates, such as certain biological properties or certain socially constructed properties, cannot be the referent of ‘race’, so we must conclude that the term ‘race’ is empty. This chapter examines the structure and prospects of conceptual mismatch arguments of this sort. It opines that these arguments point to some crucial methodological questions, such as how much divergence between our descriptions and the nature of the referent can be allowed, and suggests a new answer to this question, in terms of an appeal to normative considerations, which can be very helpful and even indispensable in order to settle matters of reference.