Unlike other classical arguments for the existence of God, Pascal’s Wager provides a pragmatic rationale for theistic belief. Its most popular version says that it is rationally mandatory to choose a way of life that seeks to cultivate belief in God because this is the option of maximum expected utility. Despite its initial attractiveness, this long-standing argument has been subject to various criticisms by many philosophers. What is less discussed, however, is the rationality of this choice in situations where the (...) decision-makers are confronted with greater uncertainty. In this paper, I examine the imprecise version of Pascal’s Wager: those scenarios where an agent’s credence that God exists is imprecise or vague rather than precise. After introducing some technical background on imprecise probabilities, I apply five different principles for decision-making to two cases of state uncertainty. In the final part of the paper, I argue that it is not rationally permitted to include zero as the lower probability of God’s existence. Although the conditions for what makes an act uniquely optimal vary significantly across those principles, I also show how the option of wagering for God can defeat any mixed strategy under two distinct interpretations of salvation. (shrink)

Alan Hájek has recently argued that certain assignments of vague probability defeat Pascals Wager. In particular, he argues that skeptical agnostics – those whose probability for God''s existence is vague over an interval containing zero – have nothing to fear from Pascal. In this paper, I make two arguments against Hájek: (1) that skeptical agnosticism is a form of dogmatism, and as such should be rejected; (2) that in any case, choice situations with vague probability assignments ought to be treated (...) as second-order cases of choice under uncertainty, with the result that belief in God is the favored option in a very wide range of cases. (shrink)