The "Mathematics and Science" is the explanation that comes after-the-fact of the creation which was initially driven by intuition and insight mixed with experiment in order to jump towards new intuitions and experiments.

Said another way, I find it true that mathematics and science serve as a form of language that seek to explain what already exists. It cannot be used as a tool for what has not yet been created. The catch being that things which have been created are usually part of the process of creating that which hasn't.

This got metaphysical without really wanting it to be. Oh well.