I actually just realized I should have done a search on this topic before posting so that I don't post the same topic again, and I found this:
http://www.chiefdelphi.com/forums/sh...ad.php?t=24368
A variation of the first proof was in that thread, and even though the thread is a year and a half old, I shouldn't have mentioned it.
But I still want to know what people have to say about thes kind of mathematical proof. I think it's a very interesting subject.