Learning by Trial-and-Error

Steve Jobs is one example of the general principle that learning and problem solving occurs most efficiently via a process of successive approximation or error-and-correction. I know that, for me, the solution of a math problem generally proceeds this way, and I suspect that, for those who are less successful, the problem is less with capacity for generating ideas than with lack of willingness, first to take the risk of being found wrong, and then of accepting one's wrongness and abandoning a false idea.

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