 Finally, one could question Pascal’s decision theoretic assumption that rationality requires one to perform the act of maximum expected utility (when there is one). Now perhaps this is an analytic truth, in which case we could grant it to Pascal without further discussion—perhaps it is constitutive of rationality to maximize expectation, as some might say. But this premise has met serious objections. The Allais 1953 and Ellsberg 1961 paradoxes, for example, are said to show that maximizing expectation can lead one to perform intuitively sub-optimal actions. So too the St. Petersburg paradox, in which it is supposedly absurd that one should be prepared to pay any finite amount to play a game with infinite expectation. (That paradox is particularly apposite  here.)[10]