<p>Hm! Interesting perspective. I’ve also never been really amazed by math’s relationship to science, because I’ve always believed that mathematics is a science. I suppose this takes some measure of faith, but I believe that mathematics isn’t so much synthesis as it is discovery – relationships already exist, and mathematicians find them, hypothesizing, testing, and refining just as scientists do. (What happens if the theorem is found not to work for some member of the universe? It’s thrown out or modified until there is a better solution.)</p>
<p>So as for the relationship between math and science, do physical phenomena cause math? No – that’s absurd. Do preexisting maths cause physical phenomena? I don’t know. The fact that we don’t know the mechanism by which something happens does not imply that the something can’t happen. Or do(es) some outside factor(s) cause both math and science? Certainly they don’t simply coincide?</p>
<p>I think the majority of mathematicians are Platonists (correct me if I’m wrong, Ben. 
) So, more to ponder – do theorems exist that are provable, but not provable by humans? What does that imply for science?</p>