There is a philosophic question, which I am sure @SavoirFaire is familiar with, as to whether mathematics is discovered or invented. I can’t imagine that there is a way of ever resolving the dispute. Since all of mathematical theorems can be reduced to set theory and logic, our mathematics could be shared with any universe that uses these concepts. A universe where sets or logic is not applicable is beyond our understanding.
I believe that most mathematicians are Platonists regarding mathematics, believing that mathematical ideas exist in the universe without the need for anyone to think of them. I am drawn to this point of view, though I am not going to try to defend it. It is pleasant to believe that in working with math, we can make contact with something that is eternal. It is as close as I get to believing in God.