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gwern comments on Why We Can't Take Expected Value Estimates Literally (Even When They're Unbiased) - Less Wrong
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Yes; heuristics allow errors and are suboptimal in many respects. (That's why they are a 'heuristic' and not 'the optimal algorithm' or 'the right answer' or other such phrases.)
I don't cite the sand mandalas both because they simply didn't come to mind, and they're quite beautiful.