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Very good article. I might add that a further pitfall in being "highly mathematical" is when you assume that the person you are communicating with is also "highly mathematical" and therefore has similar habits. That's not true MOST OF THE TIME and can lead therefore to severe misunderstandings.

IME you get used to this pretty rapidly, and what you're left with KS even better: the ability to translate between the two modes of communication (and expose the lack of rigor in one, which often leads to its proponent discovering errors in their assumptions).

True. It can be very frustrating for people when their "fuzzy-logic" (for lack of a better word coming to mind) is not accepted as a proof and they don't see how it isn't iron-clad. Fuzzy-logic gets us through most of everyday life with minimal mental burden, and so is definitely useful, but it doesn't hold up in an argument where you're trying to prove something. It can also go the other way though; some topics are inherently fuzzy, and trying to impose rigour on them just ends up wasting everyone's time and leaves nobody convinced.

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