Pascal's Wager has come up a number of times in a really inaccurate way. I've been too lazy to do anything about it. Actually, I'm still too lazy. The key to understanding Pascal's Wager is reading it for yourself, preferably in the context of the whole work (the Penses). In search of the actual text, I found this comment:
"I think there are serious problems with the main page. There's almost no attempt to outline the wager as Pascal presents it, and some of the refutations seem to be written about an abbreviated and inaccurate version of the wager."
and
"Beyond that, I think very few people think that Pascal intended for the Wager to be separated from the wider context of the Penses. This means that we should mention something about it's context."
http://en.wikipedia.org/wiki/Talk:Pascals_wagerWell said.
I could not find the whole text of the 'wager' so I'll manually type it in later on if I have to.
Here are the key features of the wager that are often ignored or forgotten:
1. Pascal isn't even trying to make a syllogistic mathematical argument.
"Let us now speak according to natural lights."
2. Pascal assumes the person has arrived at a position where the evidence is such that there is EQUAL chance, and so no justification for EITHER CLAIM.
"A game is being played at the extremity of this infinite distance where heads or tails will turn up."
3. Pascal is operating within the Christian context.
#3 is important. Complaints that you don't know 'which God' fall, because #2 has the assumption that you are in a position where the evidence has already led you to the place you are- neither claim is enough to push you. So, since #2 means you've boiled yourself down to two equal possibilities, it only follows that the wager can only be used once you've got it narrowed down to equal possibilities.
Another flaw in most conceptions is in emphasizing the wager odds rather than the the reward 'odds.' The wager only works where 'heads or tails will turn up.'
The wager odds is 50%. Its the reward that is off the wall. Pascal has spent some 233 Penses building up to the part where he thinks one ought to believe in God in Christ.
So, to put his wager in modern day terms, let's imagine you have a card game. A nice, simple card game like 'War,' perhaps (
http://www.pagat.com/war/war.html ) The rules of this card game is that you must bet. Let's say, the wager amount is $1.00
There are two cards left over, and you know from the way the game has gone that one is the winner and one is the loser (no ties). You have no way of knowing which one is the highest card (#2). On the left is a reward for $100,000 and on the right is a reward of $1.00.
You've only got $1 to bet, a 50/50 chance of being right, but the reward for one choice is $100,000 and the reward for the other is only $1.00
If you would not place your $1 bet on the one with a $100,000 reward under these circumstances, you'd be an idiot. If you are as such, I should like to play cards with you.
So, now the atheist might say that this isn't really the circumstance. FINE, but Pascal isn't talking about any other circumstance, though. If you happened to fit in the above circumstance, his 'natural light' argument might have merit. If you don't fit in that circumstance, it doesn't apply to you.
If you've got a handful of cards and the probabilities are all jumbled up and you haven't sorted it out down to equal probabilities, then you aren't talking about his wager. And if you do think you are talking about his wager, I think you must not understand even coin flipping.
That is another good way of looking at it.
Given:
You must bet your $1
There are equal odds for both heads or tails.
The reward for heads is $100,000
The reward for tails is $1
What will YOU call?