Problems that great mathematicians spent years on are assigned to students to solve by the end of the week. Or sooner. I know I've spent quite a bit of time on a problem that, after I solved it and cleaned up the framework that led to it, looked remarkably simple. Knowing the problem is solvable, and knowing the framework for it, are huge advantages.
Kipling's The Explorer may not sit well with everybody. But I like it. "Anybody might have found it -- but His Whisper came to Me!"
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