There are now well known worries in general about the epistemology of abstract properties and objects. These worries often figure into objections to non-naturalist forms of moral and normative realism. In this paper we suggest that some important epistemological worries arise for synthetic moral or normative naturalist realism that do not arise for robust forms of non-naturalist realism. We focus on what we call ‘the projection problem’ and argue that it is sufficiently serious that it is no longer clear that synthetic naturalism is in better overall epistemic standing. We also suggest, very tentatively, that the same problem may raise a new Benaceraff-like problem for naturalist accounts of moral properties, although this suggestion remains speculative.