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Inverse View
It is not the case that The argument from expectation for believing in God succeeds regardless of the specific probability assigned to God's existence
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Reasons For
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Reason for 1 of 2
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1.
When multiple religions each promise infinite reward exclusively to their adherents, the expected value calculation becomes indeterminate across infinitely many competing hypotheses.
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2.
Pascal's wager implicitly assumes a two-option decision matrix, but the 'many gods objection' (Diderot, 1746) reveals this as a false dichotomy that undermines the probability-independence claim.
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Reason for 2 of 2
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1.
William James and subsequent doxastic voluntarists argue that genuine belief cannot be produced by pragmatic calculation alone, making the wager's action-recommendation practically incoherent.
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2.
If the mechanism for producing belief is unavailable to rational agents on command, then the expected value argument succeeds formally but fails to prescribe any achievable epistemic state.
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Reasons Against
1 perspective
Reason against
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1.
The expected value calculation holds as long as the probability of God's existence is non-zero and finite (non-infinitesimal)
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2.
A non-zero finite probability of an infinite gain outweighs any finite number of chances of finite loss
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