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Questions that are about research in mathematics, or about the job of a research mathematician, without being mathematical problems or statements in the strictest sense. Do not use this tag for easy or supposedly easy mathematical questions.

91 votes

Every mathematician has only a few tricks

A very useful generic trick: If you can't prove it, make it simpler and prove that instead. An even more useful generic trick: If you can't prove it, make it more complicated and prove that instead!