Mostly I just find these arguments to be evidence that 'measure theory is not very interesting', that is, it's concerned with proving things about mathematical objects that you won't find in reality and therefore I don't care about.
I wonder sometimes if there is a concrete version of the statement: 'there is an infinite number of interesting theorems', which would suggest that perhaps doing 'all the math' is not a good idea and we should only do the math which we find important.
(of course, others would disagree that measure theory is unimportant, anyway. Shrug.)
I wonder sometimes if there is a concrete version of the statement: 'there is an infinite number of interesting theorems', which would suggest that perhaps doing 'all the math' is not a good idea and we should only do the math which we find important.
(of course, others would disagree that measure theory is unimportant, anyway. Shrug.)