In How to understand everything and why, Eric Drexler (author of Engines of Creation), explains the importance of a broad education simply:
"It’s important... because it makes creative work more productive and makes costly blunders less likely... "To avoid blunders and absurdities, to recognize cross-disciplinary opportunities, and to make sense of new ideas, requires knowledge of at least the outlines of every field that might be relevant to the topics of interest."
he then follows with a brief discussion of how to go about learning everything - a method that seems straightforward, and even fun. Worth a read.
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