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Probability of salvation, using mathematics...

FollowingHim

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Serious theologians, hold your nose and look away. Mathematicians and scientists, this one's for you!

I was having an interesting conversation at work today, and thought this is something that the more mathematical minds here might enjoy grappling with - DiscussingTheTopic in particular. I was discussing different religions with some atheists, and got onto Pascal's wager:
Blaise Pascal said:
If there is a God, He is infinitely incomprehensible, since, having, neither parts nor limits, He has no affinity to us. We are then incapable of knowing either what He is or if He is ... you must wager. It is not optional. You are embarked. Which will you choose then? Let us weigh the gain and the loss in wagering that God is. Let us estimate these two chances. If you gain, you gain all; if you lose, you lose nothing. Wager then without hesitation that he is.
In other words, if there is were no way of knowing whether God was real or not, you would still be better to follow him. If you decide to be an atheist, and are correct, when you die there is nothing, so you gain nothing. But if you die and are wrong, you go to hell, and lose everything. If you decide to be a Christian, and atheism is actually correct, when you die you're just as dead as if you were an atheist, so you've lost nothing by being a Christian. But if you are correct, you go to heaven. So you can only lose being an atheist, and only win being a Christian.

But this simplistic logic has been challenged over the years, most obviously by the fact that there are a lot more religions in the world than just two. So, if you add further religions into the "game", how does it actually change the result?

Let's say for instance that there are only three options, to keep it simple for now - Atheism, Islam, and Christianity. Now, we've got 3 possible choices, and 3 possible right answers, 9 combinations now instead of 4. So if you are an:

Atheist: Atheism correct, dead. Islam correct, hell. Christianity correct, hell.
Moslem: Atheism correct, dead. Islam correct, heaven. Christianity correct, hell.
Christian: Atheism correct, dead. Islam correct, hell. Christianity correct, heaven.

So we still see there is no point in being an atheist, all the possible endings for you when you die are negative. But it looks initially like Christianity and Islam are equally good choices, each gives you a 1 in 3 chance of getting to heaven (this is obviously if you didn't actually look into which was most likely to be correct, and were just picking by chance).

But it's not quite that simple. Fundamentally, Islam is a religion of works, and Moslems essentially believe that God will weigh your good deeds against your bad deeds in deciding whether to send you to heaven or hell. This is highly simplistic of course, but depending on how you interpret the Quran, this may mean that anyone who does enough good stuff will get to heaven. Possibly even a Christian. On the other hand, a Moslem cannot be fully assured of salvation, because they never know whether they've done enough good stuff - even Mohammed stated he could not be certain of his salvation.

Christianity however is a religion of grace, you achieve salvation by choosing to accept it as a free gift from God, works have nothing to do with it.

So a good Christian might still get to heaven even if Islam were correct. A Moslem however cannot receive salvation if Christianity is correct. So now the probabilities change.

Atheist: Atheism correct, dead. Islam correct, hell. Christianity correct, hell. 0/3 chance of heaven.
Moslem: Atheism correct, dead. Islam correct, probably heaven, possibly hell. Christianity correct, hell. <1/3 chance of heaven.
Christian: Atheism correct, dead. Islam correct, probably hell, possibly heaven. Christianity correct, heaven. >1/3 chance of heaven.

Adding Islam to the wager has altered the chance of gaining heaven through choosing Christianity from 1/2 to something slightly greater than 1/3, depending on the presumed probability of a Christian gaining salvation through Islam. However it has still left Christianity as the best option. It has also put Atheism in an even worse position - instead of having a 1/2 chance of hell they have a 2/3 chance of hell.

Continuing with this simplified approach to theology, virtually every other religion is a religion of works. All offer something good if you do enough good stuff, and something bad if you don't. Like Islam, they do not give assurance of salvation. But at the same time, some of them leave the possibility open that anyone who is good enough might get the reward.

The more religions you add to the wager, the lower the likelihood of achieving heaven through Christianity. However Christianity will still remain the best choice, because it has assurance of salvation if it is correct combined with a slight chance of salvation through works if something else is correct and you do enough good stuff.

And as the number of religions approaches infinity, the probability of an atheist going to hell approaches 1. :geek:
 
Or, there's foreordination, and the probability of going to hell is 100 % if that's where you're destined to go, and the probability of paradise, if you are his sheep, 100 %. All I know is there is no doubt for me. I've got at least one ticket to paradise....(sorry Eddie Money..)
 
Or, to put it even more simply, with just atheism and Christianity:
A: :| :evil:
C: :| :D

An Atheist, a Moslem, and a Christian (which sounds like the start of a bad joke):
A: :| :evil: :evil:
M: :| :) :evil:
C: :| :?: :D

Adding religions X, Y and Z:
A: :| :evil: :evil: :evil: :evil: :evil:
M: :| :) :?: :?: :?: :evil:
X: :| :?: :) :?: :?: :evil:
Y: :| :?: :?: :) :?: :evil:
Z: :| :?: :?: :?: :) :evil:
C: :| :?: :?: :?: :?: :D

Pick the most attractive row...
 
FollowingHim said:
Adding religions X, Y and Z:
A: :| :evil: :evil: :evil: :evil: :evil:
M: :| :) :?: :?: :?: :evil:
X: :| :?: :) :?: :?: :evil:
Y: :| :?: :?: :) :?: :evil:
Z: :| :?: :?: :?: :) :evil:
C: :| :?: :?: :?: :?: :D

For some strange reason, I am thinking of playing Minesweeper!

ylop
 
Cow fam said:
Isn't the premise of the wager faulty also? If one has faith (a gift from God) and truly believes in God, then he is not 'trying God on for size' or 'covering his bases' but placing full trust in God."
We have a winner.
 
what it does prove is that atheism is the surest way to know that you have no hope.
 
Mark and Hugh, certainly nobody will be saved by purely believing in a shallow logical argument like this. However, it is a valuable tool for some conversations. Most atheists believe as they do because they think their position is logical. In discussing Christianity in this manner, you can "answer a fool according to his folly" in a way that will resonate with him - not enough to persuade him to convert, but enough to show him that atheism mightn't be quite as solidly logical as he once thought. This may open a crack that the Holy Spirit can wedge open over time using other means.

So I am certainly not proposing that this is a valid reason to be a Christian. But to be able to discuss Christianity on these terms can be extremely valuable in some situations.
 
FollowingHim said:
(C)ertainly nobody will be saved by purely believing in a shallow logical argument like this. However, it is a valuable tool for some conversations"
It's essentially rhetorical, an attempt to open the mind of the unbelieving. I understand it from that point of view. As an ultimate reason you believe in God, it is of course, faithless.
 
All probability calculations are wrong except for those that give 100% or 0% probability. The probability that anything happened yesterday is either 100% or 0% because it either happened or did not happen so the probability that anything happens the day before the day after tomorrow is either 100% or 0% so the probability that anything happens tomorrow is either 100% or 0% not anything in between.
 
Someone who converted (or "reverted") to Islam told me that whether or not Jesus rose from the dead is a probability but whether or not the Quran is true is completely certain that it is true, but his thinking was deeply flawed because if the probability that Jesus died is X% the the probability that the Quran (as interpreted that Jesus did not die) is true (about Jesus not dying) is 100%-X%. So he could not truthfully say there is a 5% chance Jesus died but a 100% chance the Quran is true because if there is a 5% chance Jesus died there is only a 95% chance the Quran (as interpreted by some) is true (about Jesus not dying.) Of course it is more like there is more than a 90% chance Jesus died and therefor less than a 10% chance the Quran (as interpreted by some) is true about Jesus not dying.

Of course really probability does not exist and we can know his interpretation of the Quran is not true based on internal contradictions if it really is knowably not true based on internal contradictions.
 
[\quote=] "ChrisM"]Isn't the premise of the wager faulty also? If one has faith (a gift from God) and truly believes in God, then he is not 'trying God on for size" or "covering his bases" but placing full trust in God. Ray Comfort speaks of putting on the Lord Jesus Christ as putting on a parachute, and preparing for the jump to come as the plane is going to crash, it's a matter of whether you will go down screaming, apathetically awaiting whatever happens, or knowing for sure that your future is certain. [/quote]

Yet how does one come to faith in the Christ in the first place if he feels he has no need of salvation? Your analogy assumes the individual understands his predicament and would have reason to follow Jesus. If he does not know for sure what his situation is, it would seem to me the most logical course of action and follow Jesus rather than take the risk. True faith would follow after that, after getting know God on a personal level. At least for me that was somewhat the case.
 
Most of this discussion is centering around the elephant in the room. That elephant is whether or not God selects us.
 
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