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Try to actually formalize some math. Just definitions and constructions without proofs. See the challenge for yourself. You might gain some different perspectiv
by fspeech 6y ago
Try to actually formalize some math. Just definitions and constructions without proofs. See the challenge for yourself. You might gain some different perspective and sympathy for the mathematicians you are ridiculing. Consider this question: how do you know the string of symbols you wrote down actually correspond to the mathematical objects in my head? Conversely, Voevodsky advocated that mathematicians should formalize their reasoning to flush out the subtle bugs from differences in understanding. But representing mathematical concepts is a huge challenge.