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.


chris said...

true, indeed. no pull.

Nick Browne said...

but have you got an equation?

chris said...

nope, so I must be an aeqationist too.

Nick Browne said...

Wales has a proud history in equations that your comment led me to explore. See today's post.