Discrete Ideas

I’ve said it before, and I’ll say it again – I like math. Now, don’t get me wrong; I don’t run around solving Fermat’s Last Theorem for fun on Sunday nights, or anything like that. Perhaps it would be more clear to say I enjoy math, for many reasons, not the least of which is, when you prove something in math, it’s true every time!

Since merely saying, “I can’t find a contradictory example” is never accepted as “it’s always true”, mathematical proofs are often filled with a multitude of complex concepts and references to other also very complex proofs. It’s very refreshing, I think, to find a few that are so simple and elegant, they make you wonder if there aren’t very simple proofs for those other theorems, that we just haven’t discovered yet. Here I present two of my favorite math proofs. I hope you’ll enjoy them as much as I do.
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