To add to this, I thoroughly recommend reading Smolin's paper on the "limited, and hence reasonable, effectiveness of mathematics in physics." He expands on one

To add to this, I thoroughly recommend reading Smolin's paper on the "limited, and hence reasonable, effectiveness of mathematics in physics." He expands on one of those mis-steps (quoting from the paper): >This is in contradiction with the Platonic view of mathematics held by many physicists and mathematicians according to which, mathematical truths are facts about mathematical objects which exist in a separate, timeless realm of reality, which exists apart from and in addition to physical reality http://arxiv.org/abs/1506.03733 http://arxiv.org/abs/1506.03733