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I don't think good mathematicians confuse rigorous understanding with intuitive understanding as you suggest; rather, they are complements of each other Furthe
by opportune 9y ago
I don't think good mathematicians confuse rigorous understanding with intuitive understanding as you suggest; rather, they are complements of each other
Further reading: https://terrytao.wordpress.com/career-advice/theres-more-to-mathematics-than-rigour-and-proofs/ https://terrytao.wordpress.com/career-advice/theres-more-to-...
- kkleindev 9y agoThat's a great, yet easily forgotten distinction
- nazgul17 9y agoSaying that you intuitively do not understand XYZ often requires intellectual honesty as well as understanding it rigorously, even more so in academia. So saying that you intuitively do not understand XYZ can be used as a signal.