In this paper, I argue against the epistemology of some contemporary moral intuitionists who believe that the notion of self-evidence is more important than that of intuition. Quite the contrary, I think the notion of intuition is more basic if intuitions are construed as intellectual seemings. First, I will start with elaborating Robert Audi’s account of self-evidence. Next, I criticise his account on the basis of the idea of “adequate understanding”. I shall then present my alternative account of self-evidence which (...) is based on the seeming account of intuition. Finally, I show how the seeming account of self-evidence can make the moral intuitionist epistemology more tenable. (shrink)