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Old 02-18-2007, 11:34 PM   #15
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Join Date: Sep 2006
Posts: 580
Default Re: Philosophers prove existence of God and why you should be a person of faith

Originally Posted by sydneyking
It's an infinite series that does not converge to a limit. It's undefined, not zero.
No, its well defined and it converges to 0.
Its basically the series 0 + 0 + 0 + ....., which certainly converges to 0.

The faultiness of the 'proof' in the original post is that the series
(1-1) + (1-1) + (1-1) + ....
is not the same as
1 + (-1 + 1) + (-1 + 1) + ...

The first terms differ, one is 0 and the other is 1.

I think the original post is just trying to show some of the crazy claims you can find which usually result from a lack of understanding of something else. What makes this example particularly wacky is that even if the math were correct, it still fails to say anything about the existence of god.
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