The fact that physicists need to represent the real world with equations (representing law of nature relationships), categories (like mass or position), and numbers (that apply to the categories) means that the real world does indeed have relationship-like, category-like and number-like aspects.
But the fact that moving systems need to be represented with logical connective symbols like IF, AND, OR, IS TRUE, and THEN, in addition to the symbols for relationships, categories and numbers, means that, in order to be a moving system, the real world does indeed need to have logical connective aspects.
Out of all the abovementioned real-world aspects, only the real-world categories are potentially measurable. Numbers are the result of measurement, and relationships and logical connectives have to be inferred.
Some logical connective symbols (like AND, OR, and IS TRUE) represent knowledge aspects of a moving system, and other logical connective symbols (like IF and THEN) represent creative/ free will aspects of a moving system.
And note that, while they can both be thought of as "moving the numbers", the logical connective creative aspects of a moving system are entirely different to the relationship aspects of a moving system.
The knowledge aspects of the real-world moving system, and the creative aspects of the real-world moving system, can’t be explained. But the relationship, category and number aspects can potentially be explained as being a product of the creative aspects of the real-world system.