One influential response to apparent higher-order dilemmas implies that agents can rationally both believe p on the basis of their evidence and simultaneously believe that their evidence does not support believing p. This possibility of rational epistemic akrasia seems to call into question the Enkratic Requirement, which prohibits believing a proposition p according to one’s lower-level evidence, while believing that one’s lower-level evidence does not support believing p. In this chapter, we explore two ways to defend the Enkratic Requirement. First, (...) evidentialists about epistemic justification are committed to holding that an ex post (or doxastically) justified belief, as part and parcel of being ex post justified, is accompanied by a corresponding higher-order belief that the first-order belief is supported by the evidence. In a dilemma case, this higher-order belief comes into direct rational conflict with the subject’s other higher-order belief, that her evidence does not support the belief – so the subject has contradictory beliefs. In this way, the so-called ‘level-splitting’ strategy for the claim that being akratic is not per se irrational is called into question. Our second argument for the Enkratic Requirement presupposes normativism about belief and appeals to the conditions of having epistemically permissible beliefs. We sketch an argument starting from an influential view about the normativity of belief: that irrational beliefs are impermissible beliefs. From this claim, together with some widely held as-sumptions about the notion of rationality, we show that agents who display akratic combi-nations of attitudes hold impermissible beliefs. (shrink)