Categories, numbers, logic, grammar, etc. all map onto physical systems, but aren't necessarily directly linked. This is "metaphysics" in philosophy, and is ess

Categories, numbers, logic, grammar, etc. all map onto physical systems, but aren't necessarily directly linked. This is "metaphysics" in philosophy, and is essential in order to even reason about physical systems. Just the concept of a "physical system" is actually metaphysical, but without metaphysics, you can say nothing to anyone about anything. Metaphysics is just generally taken as a "given", but is worth evaluating itself. Then you'll run into the "realism" vs. "nominalism" debate and you'll understand the philosophical underpinnings of the current culture wars in America.