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What was the very first mathematical fact you learned that blew your mind?

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Well, I never found any mathematical fact that blew my mind. I understood it all, for Maths being a copy of the rules of the natural world, also known as reality. So, if something had to be surprising to me, that think had to be a mistake.

And of course, it happened. One day at a Math class called “prepa Maths Spé” in France, my mind was blown by the discovery that all of humanity not only took a spook for a reality, but also exploited it as a fundamental axiom of Mathematics. And that axiom of course was the one of infinity[1].

Infinity is a mistake, that breaks Mathematics in tons of theorems and has thousands of implications in many fields, which left me speechless at the time of discovery (over the years 1998–1999). Infinity does not exist, so any Maths result that uses it is inevitably at least wrong and sometimes even worse, the result is broken (like in the sum of all the natural numbers[2]).

Footnotes

[1] Axiom of infinity - Wikipedia

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