mike, I want you to chime in. now. (whether you want to or not)
OK! I think it's a difficult question because it's really quite meaningless. All of our logic, all of the way we think, is developed from our interaction with the universe, in very fundamental ways. I am in my bed. My bed is in my room. Therefore I am in my room. In this way our logic develops. Mathematics is the body of knowledge that grows from this logic. It is a human construct and it does such an amazingly good job of describing the universe because it grew from the structure of the universe. So when we find a surprising result and then find an example of that result in nature, we are even more surprised and get a feeling of being small surrounded by The Big Mystery. "Was the math there or did we make it?" ignores the fact that we ourselves are a part of the mechanisms of the universe. To me, creating and discovering are the same. I am just happy I can take pleasure in the process! (I suspect that the universe itself is an emergent phenomenum that comes from the simplest of rules, "1+1=2" or even simpler, like "1". It only really makes sense to me to think that the universe is just one particle.)