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"Please don't throw your mind away" by TsviBT

LessWrong (Curated & Popular)

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Is It a Good Idea to Learn Algebra?

If you find yourself noodling or doodling, don't stop yourself due to the overwhelming urgency of reading the next page of the textbook. Even assuming that you're just trying to learn some list of material as fast as possible, playful thinking is still needed. There's a thing I like to do where I'll stare at a mathematical object and keep staring until it sort of reaches semantic satiation,. And then I can tweak it, or look at it upside down, or combine it with something else. So even from a back-chaining point of view it ends up getting you something that a more functional goal, like, can I do the exercises in the textbook, doesn't always

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