Cuneo and Shafer-Landau (2014) argue for the following thesis: that there is a range of moral propositions, the moral fixed points, which have these two distinguishing features: first, these propositions are constituted by nonnatural moral concepts, and second, these propositions are not identical with or made true exclusively by natural facts. Rather, they are true in virtue of the nature of the nonnatural moral concepts that constitute them. (403) According to Cuneo and Shafer-Landau, this thesis entails the existence of "nonnatural moral truths" and thus establishes a version of nonnaturalist moral realism, albeit one that comes with fewer metaphysical commitments than other, more robust forms of moral realism. Cuneo and Shafer-Landau are sympathetic to the robust realist thesis that there also exist "nonnatural moral properties and facts," but they claim to remain officially neutral about that thesis.The moral fixed points envisioned by Cuneo and Shafer-Landau are substantive moral propositions. For instance, one of the fixed points is the proposition that it is (pro tanto) wrong to engage in the recreational slaughter of a fellow person. According to Cuneo and Shafer-Landau, to deny this proposition is to betray some form of conceptual deficiency. If they are right, then their argument performs a neat trick: it shows that opponents of (a certain minimal version of) nonnaturalist moral realism are not only mistaken, but are deficient at the conceptual level.In this paper, I'll discuss some of the criticisms that others have given, and then I'll offer two new criticisms of Cuneo and ShaferLandau's view. My first criticism is minor: I don't think that their view counts as a genuine form of moral nonnaturalism. My second criticism is more significant: I'll argue that their view drains morality of its normative significance and therefore implies that we should not care about morality.