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I had an interesting experience yesterday. I am collaborating long-distance with a researcher in another state, and we have started to investigate a particular problem. I was working to understand it and ended up stumped on one part, so I sent him an email asking a question. While I was waiting for a response I continued looking at the problem. An hour later I realized that I had completely misunderstood the problem, which would render my question not only useless but also foolish. After another hour of research I realized that I had asked exactly the right question but for entirely the wrong reason, so my email, rather than appearing foolish, would appear quite insightful.
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