  How might non-naturalists respond to the charge that they cannot explain supervenience? They might argue that the objection must be unsound because it would prove too much. For the form of the argument seems to generalize into an argument that no class of properties can supervene on another class of properties unless the former are reducible to the latter in some way. It might seem in some of the cases not involving moral properties that this cannot be correct. The supervenience of the property of being a chair on all of the properties of microphysics seems unlikely to be explained in some reductive way but seems obviously correct nonetheless. Non-naturalist’s critics can either accept this implication of their argument but try to argue that it is not so implausible or try to block the implication in some way. A discussion of the former strategy raises very general questions that go well beyond the scope of the present article. So I shall here focus on the question of whether the moral case is in some way unique even though the more promising strategy here might be to argue that in these other cases some sort of reductive (albeit perhaps non-analytic) account is available after all.