alright just for fun: AMA but only about math, will attempt to speed-explain stuff with as few symbols and equations as possible and see what happens
(esp happy to field questions about stuff that seems basic to you and that you feel like you should've gotten a long time ago!)
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oof. so, there are a lot of different ways to think about this, and my preferred way of thinking about it is not the most common one (functor of points). it also depends a lot on what your existing background is. eg, do you already have a sense of what a variety is?
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top few non obvious math concepts that would benefit me in my day to day?
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hmm. so i think having some basic concept of what a dynamical system is and the basic kinds of behavior they can exhibit is helpful. scott wrote a really nice version of this for thinking about e.g. depression but it generalizes massively:
lorienpsych.com/2020/11/11/ont
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i wrote a quora answer about this one!
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i would've answered differently a month ago but rn i want to answer "physics"! a lot of calculus and linear algebra was invented to do physics and that's a lot of where you'll see their really concrete payoffs
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idk i think the infinities in it are all fake but who knows
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