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dyukqu | 6 years ago
As a man and a mechanical engineer, I was and still am way better with words than numbers and I think it's perfectly OK. Heck, I almost hate numbers and symbols without (the explanatory) words/paragraphs. I struggled at classes throughout all my years as a student since almost every topic in engineering is "applied", hence without a rigorous (theoretical) background and so much example/case based.
I wonder if it has something to do with how one's memory works. Isn't it easier for everyone to remember/visualize concepts and then deriving the formula than trying to remember the exact formula? (Writing this down, I imagine the people who do the former are better with words as the ones who do the latter are better with numbers). The derivation of equations governing the Hagen–Poiseuille flow is a good example, I presume[0].
[0]https://en.wikipedia.org/wiki/Hagen%E2%80%93Poiseuille_equat...
madhadron|6 years ago
The numbers and symbols only make sense in the context of some specific language game. If you work in a domain a lot, then repeated sequences of symbols and conventional naming of variables hints what language game you're playing. Without that, everyone needs the explanatory words/paragraphs.
> Isn't it easier for everyone to remember/visualize concepts and then deriving the formula than trying to remember the exact formula?
Yes. There's an interesting notion of a "recovery procedure" in Borovik's "Mathematics Under the Microscope" where he points out that mathematicians don't remember formulas and theorems, they remember simple procedures that recover them.