This is true but usenet and mailing lists were a way to scale your professor's office hours. Which is to say that they were good at telling you to solve the precise thing you are struggling with, while simultaneously asking "what don't you get about this?!"https://twitter.com/katzmandu/status/982262800956383233 …
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Seriously though, I cannot stress enough how ahead of its time Galois theory was. It took decades to fully explore its impact. It turned a problem that had been standing for 350 years on its head. It is, today, the topic of advanced graduate courses.
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Galois' proof of the non-solvability by radicals of the general quintic is so brilliant that it almost makes me want to shift to become an algebraist. It's what Erdős may have called a "proof from The Book."
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(I should actually look up if he said that) Galois' proof came chronologically after the results by Abel and Ruffini, so we still call the proof the Abel-Ruffini Theorem today. But their solution was a sledgehammer and Galois' was artful.
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It's interesting that the Abel-Ruffini Theorem implicitly comes up in data science all the time and we don't ever realize it. A consequence of the result is that the eigenvalues of a general matrix of degree 5 or greater cannot be computed non-iteratively.
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But you are smart enough to not die in a duel though, right? So you've got that going for you.
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You could probably count on your hands the number of people who've reached the level of "as smart as Galois" in the 186 years since his death.
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Also he was a goddamn revolutionary - by that time he'd been arrested for threatening the life of the king and also leading an anti-monarchist parade armed with a rifle, several pistols, and some knives.
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There’s a REASON my bio says to look up Galois.
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I think about this almost everyday
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