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Very nice.
Good old discouvery vs. invention of math discussion! Of course, a lot more can be said about $e^x$. Maybe, the most interesting in this discussion would be its use in describing wave-functions. Or would you argue that the sine and cosine functions are also, just a consequence of our description of nature? You could go on nihilating the meaning of these arguably purely mathematical pieces of knowledge, and ultimately arrive at a meaningless solipsistic description of your own little universe. $e^{i\pi} = -1$, Euler salutes you!
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