13 karma · joined July 19, 2021
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In the same sense, abstracting things is important. Abstraction gives us the opportunity to apply the results from one seemingly foreign field to another.
It is not the task of science to create enthusiasm for the result for people outside the field in technical articles or textbooks as this post tries to endorse.
The excitement for a certain topic should be given by the teachers and, to be honest, this was also always the case in my experience, but I might have been very lucky.
Furthermore, the vast generalisation “Instead, we’re told that if you ever find yourself wanting the area of a triangle, here’s the procedure” couldn't be further from what I've experienced. I’ve never been given a “procedure” in math without being taught why and how it works.