Sometimes I feel like looking into how I can help humanity (e.g. 80000 hours stuff), but other times I feel like humanity is just irredeemable and may as well wipe itself off the planet (via climate change, nuclear war, whatever).
For instance, humans are so facepalmingly bad at making decisions for the long term (viz. climate change, running out of fossil fuels) that it seems clear that genetic or neurological enhancements would be highly beneficial in changing this (and other deficiencies, of course). Yet discourse about such things is overwhelmingly negative, mired in what I think are irrational kneejerk reactions to defend "what it means to be human." So I'm just like, you know what? Fuck it. You can't even help yourselves help yourselves. Forget it.
Thoughts?
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I'm interested in learning pure math, starting from precalculus. Can anyone give advise on what textbooks I should use? Here's my current list (a lot of these textbooks were taken from the MIRI and LW's best textbook list):
I'm well versed in simple calculus, going back to precalc to fill gaps I may have in my knowledge. I feel like I'm missing some major gaps in knowledge jumping from the undergrad to graduate level. Do any math PhDs have any advice?
Thanks!
For what it's worth, I'm doing roughly the same thing, though starting with linear algebra. At first I started with multivariable calc, but when I found it too confusing, people advised me to skip to linear algebra first and then return to MVC, and so far I've found that that's absolutely the right way to go. I'm not sure why they're usually taught the other way around; LA definitely seems more like a prereq of MVC.
I tried to read Spivak's Calc once and didn't really like it much; I'm not sure why everyone loves it. Maybe it gets better as you go along, idk.
I've been doing LA via Gilbert Strang's lectures on the MIT Open CourseWare, and so far I'm finding them thoroughly fascinating and charming. I've also been reading his book and just started Hoffman & Kunze's Linear Algebra, which supposedly has a bit more theory (which I really can't go without).
Just some notes from a fellow traveler. ;-)