Mathematical Reality

With the universe increasingly becoming broken down into laws of numbers, it becomes relevant to ask,
What distinguishes the real world from science's descriptions of the real world?

As I sit here thinking how to resolve the dilemma, I am part of a system that is conforming to these rules, and I seem to observe their effects.
However, the rules we know exist are so only so far as we may measure and observe them. This may hold an important key. Although it may be theoretically possible to make a still frame of the world and extract from it the future, it is not possible to take a still frame of the world. It is therefore not possible to predict the future in this way.

This same should apply whever the knowledge that would be needed is so conveniently restricted. With this prohibition, or perhaps freedom from the knowledge, we are liberated from the prison of a pure mathematical reality.