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Inverse View
It is not the case that The Wager would not get off the ground even if rationality merely permits, rather than requires, refraining from assigning a probability to God's existence.
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Reasons For
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Reason for
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1.
Pascal's Wager presupposes that one should have a probability for God's existence.
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2.
Rationality may permit agents to leave their probability for God's existence undefined.
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3.
If an agent permissibly refrains from assigning a probability to God's existence, the Wager cannot compel that agent.
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Reasons Against
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Reason against 1 of 2
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1.
Agents who permissibly withhold probability assignments face genuine decision-theoretic indeterminacy, not merely incomplete information.
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2.
Under indeterminacy, no expected utility calculation is well-defined, so the Wager's infinite expected utility argument produces no action-guiding output.
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3.
A wager that generates no determinate recommendation fails on its own decision-theoretic terms, regardless of whether abstention is required or merely permitted.
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Reason against 2 of 2
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1.
Levi's epistemology of belief establishes that rational agents may maintain credal committees—sets of permissible probability functions—rather than point-valued credences.
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2.
When a credal committee includes both zero and nonzero probabilities for God's existence, the expected utility of wagering is undefined across that committee.
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3.
The Wager requires a dominated-options argument to get started, but dominance reasoning collapses when the probability space itself is permissibly unresolved.
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