Either God is tricky, or maybe probability is.
Pascal's Wager: Say there's only a small chance God exists. If you are an atheist but God does actually exist, He will send you to hell for eternity. This is infinitely bad. Therefore you should believe in God on the off-chance he does exist, since a small chance of something infinitely bad is worse than the alternative.Believe in Pascal's Wager? Have I got a deal for you!
says if you believe it, you should send Alex Tabarrok money because he will put in a good word to God for you. Hey, there's a small chance he has a direct line to God, which yields infinite utility (or avoids hell's infinite disutility).
FWIW, I'm thinking the paradoxes in this sort of arithmetic always happen when you start doing addition/multiplication distribution across those darn infinities. Like on the third page Tabarrok starts talking about p1*Inf - p2*Inf = (p1-p2)*Inf. That's shady shit.And more about the big PW
I don't like the SEP entry
on it, because there's too much history and it talks too much about the boring stuff like the oddness of a decision to believe or disbelieve something.