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nazgulnarsil comments on Why do people commit mathematical mistakes? What are the mechanisms behind them? - Less Wrong
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I don't remember the exact quote or source, but I once read something along the lines of "humans don't prove anything, we just decide which side of the argument we will hold to a higher standard of proof."
Motivated Continuing and Motivated Stopping? But accusing someone of that would be incurring in the Genetic Fallacy...