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AnlamK comments on Your Most Valuable Skill - Less Wrong
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I'm sure we'd all be (all of Less Wrong, except I, who am not very smart - that's some weird grammar by the way that I just used) mathematical prodigies - if we only had someone who was willing to teach us math, because Gods know why, we were too lazy to go to a public library, pick up the books and study ourselves!
One can waste a lot of time, especially at the start when most of the literature is inaccessible and one lacks common sense to at least look through standard curricula -- this can be easily fixed with the right guidance. Plus, it's not obvious that learning research science can be fun, something I had no idea about up to the last years of college (there was language barrier as well).
At the time, I didn't know my public library had such textbooks. :(