There is a proof that I love, one that is very succinct and easy to understand to someone with only middle-school knowledge of mathematics. But it's remarkable in that inside of it lies a deep-seated idea, one that I find very difficult to wrap my head around sometimes. Let's have some fun and walk through it. I'm going to write this post in a mathematical language, but I want it to be accessible to a general audience, so I'm going to explain some terms as I go. (I generally won't do this).
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