how do mathematicians know that an axiom holds true in every region of the universe?

Question

Since axioms can’t be proved, how do mathematicians know that they’re always true independently of the location? If they don’t, how do they cope with that?

In: 1

Answer 1

Mathematics is a construct of logic and has nothing to do with location.

I assume that what you meant is how do physicists know that their theories hold true in every region of the universe.

The answer is that they don’t know. Most assume this because it is the simplest assumption (Occam’s razor) and because it makes formulating theories easier. Furthermore, they haven’t yet found something that requires this to be true.