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Post Closed as "not a real question" by Harry Gindi, Qiaochu Yuan, Kevin Lin, Mariano Suárez-Alvarez, S. Carnahan♦
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In writing my senior thesis I met the following problem: Sometimes I have some intuition about some mathematical statement. Yet I find it extremely painful trying to put these intuition into precise form on paper. In particular it is very hard to specify the correct condition for statement. Does anyone have some tips for me in doing so? How do you often do it? Let me elaborate a bit further. I believe it is an experience that any mature mathematician must have went through. We want to go to D, and we need to go through A, B, C. But A can not be stated clearly until one knows B, B can not be stated clearly until one knows A and C, and C can not be stated clearly until one knows B. But we sort of have a vague picture of A, B, C in our mind. It sounds very stupid, but I don't know where to start. I wonder if this question is too vague for MO. So please close it if you see fit. |
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Making an intuition preciseIn writing my senior thesis I met the following problem: Sometimes I have some intuition about some mathematical statement. Yet I find it extremely painful trying to put these intuition into precise form on paper. In particular it is very hard to specify the correct condition for statement. Does anyone have some tips for me in doing so? How do you often do it? I wonder if this question is too vague for MO. So please close it if you see fit.
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