Richard Feynman Quotes on Problem solving
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The worthwhile problems are the ones you can really solve or help solve, the ones you can really contribute something to. ... No problem is too small or too trivial if we can really do something about it.
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I cannot define the real problem, therefore I suspect there's no real problem, but I'm not sure there's no real problem.
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The same equations have the same solutions. (Thus when you have solved a mathematical problem, you can re-use the solution in another physical situation. Feynman was skilled in transforming a problem into one that he could solve.)
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When you are solving a problem, don't worry. Now, after you have solved the problem, then that's the time to worry.
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Know how to solve every problem that has been solved.
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The Feynman Problem-Solving Algorithm: (1) write down the problem; (2) think very hard; (3) write down the answer.