Some modern revisions, like the Atheist’s Wager , suggest that if a God exists, they would value a life lived with virtue and honest doubt over a life lived in fear of a bad "bet". The Verdict
Expected Value=(Probability of Existence×∞)−(Probability of Non-existence×Finite Cost)Expected Value equals open paren Probability of Existence cross infinity close paren minus open paren Probability of Non-existence cross Finite Cost close paren Pascal's Wager: Definitive Edition
As long as the probability of God existing is greater than zero ( Some modern revisions, like the Atheist’s Wager ,
Because anything multiplied by infinity is still infinity, the math dictates that believing is the only rational move. 3. The "Definitive Edition" Critiques The "Definitive Edition" Critiques ), the "Expected Value"
), the "Expected Value" of believing remains infinite. In the language of math:
Most gamblers care about the probability of winning. Pascal argued that in this specific case, .
If you wager on the "wrong" God (e.g., choosing Christianity when Islam was the "correct" choice), you might still face infinite loss. The wager doesn't tell you which altar to visit, only that you should pick one.