"[In mathematics] There are two kinds of mistakes. There are fatal mistakes that destroy a theory, but there are also contingent ones, which are useful in testing the stability of a theory."

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And learn that when you do make a mistake, you'll surface that mistake so you can get it corrected, rather than trying to hide it and bury it, and it becomes a much bigger mistake, and maybe a fatal mistake.

— Sanford I. Weill