Basic Mathematics - 2020-12-10

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Billy Rubina

03:06

@user21820 I just read this:

The comment from Jacques seems interesting.

Do you know anything about it?

6 hours later…

user21820

09:13

@BillyRubina It would be better to link to the post, so that people can read the whole thread.

I think the point is simply that the derivative of a computable function is hard to compute, but I don't really buy that the integral of a computable function is easier to compute. Unless you have some control on the function such as controlled continuity, you cannot integrate either.

Billy Rubina

09:39

126

A: Most harmful heuristic?

Along the same lines as Qiaochu's and Zach's responses, the commonly taught heuristics pertaining to functions, differentiability and integration are a pet hate of mine. I certainly left school thinking of functions as formulas involving combinations of elementary functions and having a very poo...