> All of the subtleties of measure theory, which occupy most of what mathematical measure theorists/analysts work on, are introduced when you assume you've got an infinity or a continuum somewhere in a model, and that assumption is never borne out in practice.
That's not entirely fair. People doing controls work with continuous-time models often enough, so there are some practical benefits.
Oh yeah agreed, and also in other applications as well, and i tried to speak to that with the end of my comment - even with continuous time/space models, you're never going to encounter the truly pathological functions that require, e.g., the careful definitions that go into defining Lp spaces. Everything physical is much better behaved.
That's not entirely fair. People doing controls work with continuous-time models often enough, so there are some practical benefits.
I agree with the rest of your comment though.