According to many, that the normative supervenes on the non-normative is a truism of normative discourse. This chapter argues that those committed to more specific moral, aesthetic, and epistemic supervenience theses should also hold : As a matter of conceptual necessity, whenever something has a normative property, it has a base property or collection of base properties that metaphysically necessitates the normative one. The main aim in this chapter is to show that none of the available arguments establish, or indeed (...) the relevant epistemic, aesthetic, and moral supervenience theses. is not a conceptual truth. This has considerable dialectical importance. One interesting upshot is that it affords non-reductivists and non-naturalists a novel way of resisting certain prominent supervenience-based objections to their views, including objections that formulate supervenience as a purely metaphysical thesis. (shrink)