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If you zoom in far enough every curve looks linear.



> Henri Poincaré famously described them as "monsters" and called Weierstrass' work "an outrage against common sense", while Charles Hermite wrote that they were a "lamentable scourge".

I wonder if there is a really long compound German word for "an achievement whose greatness is best measured by the degree to which it disgusts experts in the field."


Heh. Reminds me of how gamers manage to find exploits to cheese speed runs while developers react in dismay.


Not a bad description of the history of analysis. Turns out function spaces are absolutely full of gross things that don't quite fit nicely into your theory.


Wow that’s super cool, didn’t know about this


Thank you :)




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