What amazes me most about mathematics is that it’s a library of code and data structures that is (in its current form) under active development for hundreds of years, uses a single global namespace, no actual package management and no versioning.
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The value of pursuing deep mathematical insights is extremely marginal when compared to spending the same amount of time on your social, economic or romantic affairs. The idea that everyone should be motivated by their teachers to do more math is probably harmful.
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Mathematics works well as an academic subculture because it is basically monastic. As soon as an academic field gets you power or high income, it becomes corrupted by people seeking power and income, ie sociopaths and normies.
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I like this framing! (Though I think incremental opportunities for progress are always available to fresh eyes, specially for taking things in different directions, under different definitions of progress.) What’s the medical name for this rare kind of sustained hyper-attention?
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Aspergers :)
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