 This analysis is not open to many of the objections to [A1] and [A2]. It does not count an introspective, memory, or perceptual belief as an intuition. However, on the assumption that the concepts in question are not contradictory, it may imply (depending on what is required for competence with a concept) that intuitions are infallible. Even if intuitions are infallible, if S has mistakenly rejected one of the propositions making up a paradox, p, it seems she might, contrary to [A3], still have the intuition that p. Finally, [A3] appears to make the direct introspective judgment that one has an intuition difficult to justify, as one lacks direct introspective access to the non-conscious causes of one’s beliefs.