> a thing governed by a set of mathematical laws

Again, you're mistaking the thing for the tool we use to describe the thing.

> aside from precision limitations

It's not only about precision. There are things we don't know.

--

I think the universe always obeys rules for everything, but it's an educated guess. There could be rules we don't yet understand and are outside of what mathematics and physics can know. Again, there are many things we don't know. "We'll get there" is only good enough when we get there.

The difference is subtle. I require proof, you seem to be ok with not having it.