I quite agree with millstone's comment below: interesting analogy, but not sure it is quite right here. And an off-topic, comment: I do agree with the sentimen

I quite agree with millstone's comment below: interesting analogy, but not sure it is quite right here. And an off-topic, comment: I do agree with the sentiment that some things may be more easily expressed in nonstandard analysis. For an interesting experiment in that direction, see https://web.math.princeton.edu/~nelson/books/rept.pdf https://web.math.princeton.edu/~nelson/books/rept.pdf .