It doesn't imply everything is discrete. That is a rather meaningless phrase: language is already discrete, so everything that can be described with language ca

It doesn't imply everything is discrete. That is a rather meaningless phrase: language is already discrete, so everything that can be described with language can be said to be discrete in that sense, including anything you'd think is not discrete. For instance, the topological notion of continuity is about preserving nearness which wouldn't say anything about a non-discreteness of elements considered. I'm struggling to come up with a proper notion of non-discreteness in the first place, since there are plenty of things known to be both discrete and continuous at the same time. I would argue instead that the "discreteness of the universe" is not even a very interesting question to resolve. And in physics, it would need to have scientific verification. If you say space is discrete, then where is your minimum wavelength? How does the discretization of position relate to the discretization of angle? Etc.. It's not really about mathematics at that point, but about finding a physical phenomena for which this (vague) notion of total discreteness is relevant.