(contrast with language, where there's certainly serial depth, but also very high parallelism in some sense: there lots of stuff you can and do learn in whatever order, like you can always just learn any given word)
but anyway. why math? because what i'm calling "real math" is about seeing all the way into the core of the structure of things. playing AOE really well... it has way more virtue of empiricism than tasteless math.
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but, you aren't by default led to think about things **more deeply in some general sense** than you've ever thought about things before. (i'm groping for my point here...) in other words: math is about investing heavily in generalization.
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perhaps this is why i feel that math is unnecessary because i definitely am by default led to think about such things
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