Alright, this is a subjective question since I think a person would have to be omniscient or nearly so to know answer it with any certainty, but my question is fairly straight forward and I'm curious what cosmologists think about the topic. First, a little about the origin of the question. I've noticed that advances in the understanding of physics, as well as other sciences, mostly occurs empirically and not through mathematically derived theory alone. Is this simply because we have so little knowledge from which to build our theories or is it because we are subject to a unique set of physical laws based on how the universe is constructed. In other words, as my title asks, are the physical laws of our universe completely objective and mathematically deducible from nothing but an understanding of math alone, or are physical laws subject to the universe in which we live with the potential to have different "types" of universes with completely different physical laws?