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    Rolling a 4-sided die, then a 9-sided die, then an (n+1)^... — Carmelics
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    Challenges→Repeatedly applying a mixed strategy based on an n-sided die (where n grows as (n+1)^2 on successive trials) is not probabilistically guaranteed to lead to wagering for God.

    Rolling a 4-sided die, then a 9-sided die, then an (n+1)^2-sided die on the nth trial yields a probability of only 1/2 of eventually wagering for God.

    Modality & PossibilityNatural Theology
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    Natural TheologyModality & Possibility

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    For a mixed strategy in which the probability of wagering for God decreases suff...Repeatedly applying a mixed strategy based on an n-sided die (where n grows as (...

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    Repeatedly applying a mixed strategy based on an n-sided die (where n ...88%For a mixed strategy in which the probability of wagering for God decr...76%If there are uncountably many times at which one implements a mixed st...75%The 'coin toss' strategy (probability 1/2 of wagering for God) has the...75%

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    Monton 2011 defends Pascal’s Wager against this line of objection. He argues that an atheist or agnostic has more than one opportunity to follow a mixed strategy. Returning to the first example of one, suppose that the fair coin lands tails. Monton’s thought is that your expected utility now changes; it is no longer infinite, but rather that of an atheist or agnostic who has no prospect of the infinite reward for wagering for God. You are back to where you started. But since it was rational for

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