Sunday, April 12, 2009

You bet

In which we find, "the extraordinary confluence of several important strands of thought: the justification of theism; probability theory and decision theory, used here for almost the first time in history; pragmatism; voluntarism (the thesis that belief is a matter of the will); and the use of the concept of infinity".

Happy Easter.

Granted, a Bayesian might hold that rationality places no constraint on probabilistic judgments beyond coherence (or conformity to the probability calculus). Then as long as the strict atheist assigns probability 1 to God's non-existence alongside his or her assignment of 0 to God's existence, no norm of rationality has been violated.

Furthermore, an assignment of p = 0 would clearly block the route to Pascal's conclusion. For then the expectation calculations become:

E(wager for God) = ∞*0 + f1*(1 − 0) = f1

E(wager against God) = f2*0 + f3*(1 − 0) = f3

And nothing in the argument implies that f1 > f3. (Indeed, this inequality is questionable, as even Pascal seems to allow.) In short, Pascal's wager has no pull on strict atheists.

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