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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Diderot(the philosopher credited with making the many gods objection): Denis Diderot was an 18th-century French philosopher and writer who challenged Pascal's Wager by pointing out the problem of multiple competing religions.
Many gods objection(a counterargument to Pascal's Wager): A criticism of Pascal's Wager pointing out that there are many religions and gods to potentially believe in, not just one, so Pascal's argument doesn't really help you choose which one.
Pascal's Wager(Pascal's own framing of the Wager's role): An instrumental argument intended as a first step toward genuine religious faith, not as a substitute for it.
Probability-independence claim(a key assumption in Pascal's Wager that the objection challenges): The idea (in Pascal's argument) that you should believe in God based on outcomes, regardless of how likely God's existence actually is.

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