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    $\begingroup$ In view of many of the answers to this question, it might help to have in the statement a definition of heuristic as it is applied to mathematics. $\endgroup$ Commented Apr 26, 2010 at 3:56
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    $\begingroup$ In fact, the harmful entity in most answers is not a heuristic at all! $\endgroup$ Commented May 22, 2010 at 15:07
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    $\begingroup$ Calculus. In many small Universities (mine included) students have to take Calculus before Real Analysis, and I think that this does some serious damage. $\endgroup$ Commented Jan 24, 2021 at 0:53