> And this logic is how folks convince themselves that ball players are doing trigonometry when playing. It is just wrong.
You're attempting a sleight of hand here by saying "they're" not "doing trig". Clearly they are not doing anything like that consciously, but equally clearly some part of their brain is triangulating objects and predicting trajectories based on gradients, meaning that part is "doing trig and calculus" subconsciously. What else does it mean to "do something" if not "process X is isomorphic to process Y"?
> You can /model/ it that way. But you are making a symbolic model to justify how a solution is reached.
I really don't understand what you think people are doing when they're compiling a grocery list. They're clearly thinking, "I need x AND y OR I can substitute z".
Or if they're planning to paint their fence, they're thinking, "I need paint AND brushes AND I have to start before lunch OR I won't finish before dinner".