Hello @zyx066, this is very interesting post.
If mathematics is the language of the universe, and if division is about distribution, is there a case in universe that anything needs to be distributed to zero things, or to be multiblied zero times? I don’t think so.
In such cases math doesn’t represent something real in universe and on the other hand some cases in universe can’t be interpreted through math which brings us back to the notion about math being the language of the universe. Math is actually the language we use to facilitate our interpretation and handling of physical phenomena and that is why the plan of math doesn’t always fit the reality plan rather only what we understand from reality.
Thanks for leaving this great comment, @alignment. You're diving in a bit deeper than I do in this post. What is reality? You say this:
So, what I took as reality is what most of us do in everyday life: physical phenomena. This is the reality we all share and it is the reality most "hard sciences" deal with. But... through these hard sciences, mostly theoretical physics, we have come to understand that maybe information is the fundamental building-block of reality, and not "particles of matter"; so now we even have things like "simulation theory" and "the holographic universe" being supported by many prominent physicists.
Look, we can even go so far as to say that the act of "labeling" stuff, with words or numbers is a giant limitation of reality as it exists; I've read your latest post about "meaning" and think it's great. It's just not the level at which this post is supposed to be read or understood. I recently have written a bunch of posts about the nature of reality and the many debates, some centuries old, that are spawned by the question what reality is exactly. For a better answer to your question I would suggest you read my latest post on the topic: The Language Of The Universe: Discovered Or Invented?.
Thanks once again for this well thought out reaction, @alignment! :-)
I agree with your comment @alignment. However, math still is a very powerful tool that allows us to describe movement of very tiny particles and to explore our universe without leaving our atmosphere. As much as I dislike calculating, I have to say that math links virtually all natural sciences together. So in that way it is a universal language. Cheers!