Yes, sorry I just now ran across this.
I think we have already touched on the mathematical nature of nature and how even the simplest organisms use mathematics in solving survival problems.
Natural selection helps a great deal as it almost always favors mathematically sound processes, because they cease to be random when applied regularly. Then they become an axiomatic part of reality.
The interesting part is that a purely mathematical universe may appear intelligent in value processing and relational behaviors.
But it is a quasi-intelligent and rests only on the physical logic of relational and interactive forces.