Vladimir_Nesov comments on Why do people commit mathematical mistakes? What are the mechanisms behind them? - Less Wrong
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Comments (37)
More like not bothering to actively think about how to optimize reliability of problem-solving, as opposed to thinking about how to solve the problem. "Try harder" or "be more careful" is advice of very limited power, while there are many creative ways of ensuring reliability of results (for any given problem) that are much more powerful.
"Be more careful" is meta-advice, most people don't actually start trying to be careful until they recognize the need. Worse, and I don't understand why, but they often need to be reminded of it again in different situations, that is the need to be careful or to pay close attention seems to be context dependent.