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So I recently got into Calculus III, and discovered false proofs such as $1 = -1$ and $0=1$. They are both awesome and useful. However they are fake.

So I was wondering if there were any unique cool proofs like those above, except ones that are valid?

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I'm not sure what you're asking. A key part of mathematical work is writing unique, valid proofs. There are thousands of them. – Austin Mohr Sep 9 '12 at 3:25
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What do you mean by "unique"? Given any proof, I can make another one by adding some additional statements, so valid proofs are not what I would call unique. – Ross Millikan Sep 9 '12 at 3:36
I'm not familiar with these fake proofs. Can you provide a link ? – Teddy Sep 9 '12 at 8:27
@Teddy: Try browsing the (fake-proofs) tag. – Henning Makholm Sep 9 '12 at 11:39
@RossMillikan, I meant something interesting. – Link Sep 9 '12 at 13:55

closed as not a real question by William, Austin Mohr, Zhen Lin, Chris Eagle, Henning Makholm Sep 9 '12 at 11:39

It's difficult to tell what is being asked here. This question is ambiguous, vague, incomplete, overly broad, or rhetorical and cannot be reasonably answered in its current form. For help clarifying this question so that it can be reopened, see the FAQ.

2 Answers

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Unique cool valid proofs - maybe you want to have a look at the book "Proofs from THE BOOK"

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The proofs for math "magic tricks" have this flavor. This is where you tell someone to pick a secret number and then do some sequence of operations and tell you the result, which is either some magic constant or is comically related to their original number. Also with cards.

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