Empirical intuition (n.) is that sort of intuition which relates to an object by means of sensation.
Intellectual intuition (n.) judges by norms of which I am unconscious — irrational in its working, though afterwards I may recognize it accorded with reason.
Moral intuitions (n.) are unknown until explored — slavery once seemed no problem, and our treatment of animals may be the next discovery.
Mystic intuition (n.) happens at a lonely outpost of the mind, dangerously cut off from the rest of the intellect.