taelor comments on Truly Part Of You - Less Wrong
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Back when I was a teenager, I distinctly remember wondering about how one would go about calculating the distance traveled by a constantly accelerating object during a given period of time. Of course, life -- as it is want to do -- quickly distracted me, and I didn't think about the problem again until years later when I learnt about integration and thought to myself "Oh, so that's how you'd do it!" Now, I don't think I would be able to regenerate interal calculus all on my own,but I know I'm at least observant enough to notice that something was missing -- or at least I was when I was 15 -- and I think that that's an important first step; the answers that we find are strictly limited by the questions that we ask As a side note, my cousin was, at the age of 6, able to derive multiplication from addition all on his own. He is made of win.