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The point of a proof is very much not just that it enables you to know that the thing is true, but also to give insight into why it's true. (And hence, e.g., wh
by gjm11 2y ago
The point of a proof is very much not just that it enables you to know that the thing is true, but also to give insight into why it's true. (And hence, e.g., what other related things are likely to be true and how one might prove them.) A 100% incomprehensible proof gives no such insight; a merely-somewhat-incomprehensible proof gives less insight than a more comprehensible proof could.