 As is the case with pure proceduralist conceptions, mixed conceptions of democratic legitimacy also vary with the underlying account of democracy. A version of rational proceduralism is implicit in Arrow’s approach to aggregative democracy (Arrow 1963; see Peter 2008 for a discussion). The problem he poses is: are there methods of democratic decision-making that are based on equal consideration of individual interests and are conducive to rational social choice? As is well known, his impossibility theorem shows a problem with finding such decision-making mechanisms. Arrow’s way of posing the problem—which contrasts with May’s (1952)—suggests that the possible irrationality of majority rule undermines its legitimacy, even if it respects certain procedural values. His view implies that democratic legitimacy only obtains if the outcomes themselves satisfy certain quality conditions—specifically, he postulated that they should satisfy certain rationality axioms.