Andrew Wiles Quotes on Motivation
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But what has made this problem special for amateurs is that there's a tiny possibility that there does exist an elegant 17th-century proof.
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Certainly one thing that I've learned is that it is important to pick a problem based on how much you care about it.
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However impenetrable it seems, if you don't try it, then you can never do it.
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Always try the problem that matters most to you.