JonahSinick comments on How valuable is it to learn math deeply? - LessWrong
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One (wo)man's brittle special case is another's generalization. There are many different levels of abstraction. One can be at the rigorous level on some dimensions and at the post-rigorous level on others. In the other direction, many things that once required post-rigorous thinking are now sufficiently codified so that they now require only rigorous thinking. There's not a well-defined body of "standard tools."