Terry Tao on post-rigorous math. Beginning research students sometimes struggle with this https://terrytao.wordpress.com/career-advice/there%E2%80%99s-more-to-mathematics-than-rigour-and-proofs/ …pic.twitter.com/Ar5O3slKeD
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@michael_nielsen Rigour is a chimera. Only 'as precise as the problem requires' exists. #2 should be called the unnecessarily precise stage
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what people call rigour today is just paying attention to certain details that have turned out to matter
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Indeed. 'Rigour' is precision in a finite set of culturally defined respects, not an infinity of others.
End of conversation
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the reason those problems were solved is because people thought of them and solved them
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it is nothing but cynicism to say that those problems could have been avoided were people more rigorous.
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people had to realize those details matter. Every mathematical article is non rigourous in many ways
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