Monday, August 26, 2013

Mathematical Proofs

Proofs, it'll make most people cringe, especially when you phrase it "mathematical proofs" for the non-math people.

But to me, I Love Proofs! The best way I can describe what proofs do to me is how my geometry teacher in high school explained his thrill for proofs. Writing a proof is like a game of chess. It can start slow or fast, but at one point you get stuck and you really have to think ahead. You have to think what the proof can throw at you to further take you away from QED. But there comes a point where you see the play that will get you to that check mate. You are then able to quickly run your plays against your opponent and BAM! Check Mate!

For me, I love the check mate moment after writing a proof. Write now, I'm in the process of rewriting the proofs for absolute value propositions, to be specific |xy| = |x||y|. I got stuck on proving if one value is negative and the other is non-negative. I haven't gotten to check mate yet, but I feel like I took down a queen and that is a relieving feeling.

FYI: My intro to real analysis class does not introduce new ideas in math. I have seen everything, but now I'm rigorously proving them from the 9 arithmetic properties of addition and multiplication.

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