Exactly. >I reduce mathematics further as a nice description of logical relationships; a derivative of our own model of the universe. The rules of logic are t

Exactly. >I reduce mathematics further as a nice description of logical relationships; a derivative of our own model of the universe. The rules of logic are the behaviors of objects that we experience and observe. In a differing reality, objects may have properties which could be illogical to the perspective of someone in our own; yet if we move to that strange reality, our brains would slowly process the information into a new model of reality with the ~new logic~. However that ability is mostly pointless as any group of mostly consistent behaviors will have either more but never differing logical relationships as any other reality with mostly consistent behavior (this is also why we see something called duality in mathematics). The further consequence of this, in our studies of natural sciences, we hold our brain's model of reality as supreme. We don't consider something to be ~true~ until at least its conclusions can be witnessed and perceived. The consequence and perhaps also the cause of this, is all of mathematics and natural sciences are mostly attempts to formalize as well as quantify our own brain's unified model of reality.