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It is not the case that When multiple options each yield infinite expected utility, dominance reasoning collapses and cannot single out wagering for the Christian God specifically.
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Reasons For
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Reason for
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1.
Not all religions genuinely offer infinite utility; many emphasize finite goods or conditional salvation, breaking the parity assumption.
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2.
Even with multiple infinite-utility options, decision-theoretic tools like regret-minimization or lexicographic ordering can still differentiate choices.
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3.
The wager needn't single out Christianity uniquely to succeed—wagering for *any* monotheistic tradition with infinite payoff satisfies Pascal's strategic logic.
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Reasons Against
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Reason against
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1.
Pascal's Wager assumes only Christian God yields infinite utility, but many religions claim identical infinite rewards, creating genuine parity.
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2.
When multiple options produce infinite expected value, standard decision theory cannot rank them—dominance fails to discriminate among infinite outcomes.
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3.
Without dominance reasoning to select Christianity specifically, the argument reduces to arbitrary choice among equally rational wagering positions.
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