Is super-accuracy matters?

[Johnh]

Well I'm an engineer, and in my field, nothing is really known to within better than 1%, and honestly, that could be 10%! Surveying is probably the most accuracy-requiring field I'm familiar with, and an extreme example might be say 1mm in 1km, so basically 6 sig figs.

Another case is GPS satellite navigation, which is a field where accurate resolution depends on minuscule differences in timing.

But in any case, I reckon to be able to follow through outstanding mathematical accuracy is still a very respectable and worthwhile venture, even if its just sbstract, just because! Even if the need for it is not obvious, it's still fully justifiable as a piece of mathematics, and, so many times in science and theory, the solution precedes the problem.

So although the maths is out of my range, I reckon keep going!