Hmm...lot's of confusion here. First, let's start with mathematics. Math is "Concepts of Methods" pure and simple - even integer counting. Nowhere do numbers exist but within the minds of men as concepts even though the integer counting we learned as children seemed positively concrete.
Now, about Physics. Well...maybe not: I'm to tired tonight to write that much. So, as an excercise, I suggest you ask yourself "What is a mathematically-based Physical Model".
Goodnight.
Rojo