This leaves us with non-naturalist realist accounts of mathematical and modal knowledge. As we saw earlier, the best options here appeal to the neo-Fregean programme of grounding knowledge of the mathematical and modal realms in a priori analytic principles. If this programme could be vindicated, then it would indeed violate the requirements of methodological naturalism. But, as observed earlier, it seems at best an open question whether analytic principles have the power to take us to realist knowledge of the mathematical and modal realms.