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数学证明每个人应该信上帝

(2007-04-03 17:00:38) 下一个
Let X be your return if you don't believe in God. It has the following distribution:

X = whatever, with probability 1-p
X = going straight to hell (negative infinity), with probability p

where p=probability that God exists

Now calculate the expectation. Notice that, if God exists, no matter how small p is, your expectation will be negative infinity. (We are sure this "whatever" is not positive infinity.)

So, you don't need to believe in God only when you 100% sure that God does not exist. But are you that sure?
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