On Sep 22, 11:57 pm, Jonathan Bober <[email protected]> wrote:
....
 And it probably isn't unreasonable for an integration routine to
> guess at that information,

A guess.

> and to provide error bounds that are rigorous
> assuming

An assumption

>a set of not unreasonable hypotheses about the function it is
> integrating.

Well, by that kind of reasoning, all sorts of problems could be
solved.
For example, you could solve World Hunger if you assume
(a) there is enough free food for everyone and (b) there is
enough free transportation to distribute it.

I have no objection to your idea of coming up with an estimate.  Just
drop the word "rigorous" .

RJF

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