Call the norms of inquiry zetetic norms. How are zetetic norms related to epistemic norms? At first glance, they seem quite closely connected. Aren't epistemic norms norms that bind inquirers qua inquirers? And isn't epistemology the place to look for a normative theory of inquiry? While much of this thought seems right, this paper argues that the relationship between the epistemic and the zetetic is not as harmonious as one might have thought and liked. In particular, this paper argues that some familiar contemporary epistemic norms are in tension with, and even in conflict with, central zetetic norms.