Always been a history guy myself... and physics.
Tell me MR. Being such a fan of math, do you fear physics? The thing that can ruin all the bit of logic math makes?
Math, as you have stated, is the logic that explains to us how things are the way they are. Take for example, time.
Time = Distance / Speed
Weight = (Mass) (Acceleration due to gravity)
or hell, even gravity itself, AKA Newton's Law of Universal Gravity.
But Physics... now Physics is what shows us that all these common things we think to be fact, logic, are all... relative. Perceived.
Physics can bend these "Laws of Nature."
In the advance stuff, you may learn of a situation that makes 4 - 52 = 10.
Most of us already knew time is relative, but Physics explains that there is much more to it than that. Time, and really physics itself, is affected differently under different circumstances.
...Where's your god now?