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at the opposite extreme, we should not always rely on logic and rigor when doing math - https://terrytao.wordpress.com/career-advice/there%E2%80%99s-more-to-mat
by kenny87 9y ago
at the opposite extreme, we should not always rely on logic and rigor when doing math - https://terrytao.wordpress.com/career-advice/there%E2%80%99s-more-to-mathematics-than-rigour-and-proofs/ https://terrytao.wordpress.com/career-advice/there%E2%80%99s...
- kazinator 9y agoMathematics requires creativity. Conjectures do not arise from logic and rigor. If that were the case, they would never be wrong, and thus not require proof. If mathematicians don't come up with conjectures, then mathematics doesn't advance. A formal system's territory is connected together by rigor; but whence comes the formal system itself? That has to be imagined.