If you learn to juggle a ball on a tray like that, what is really happening is you are constructing a mathematical model of the system in your brain, ...
No, not in a month of Sundays are you constructing any kind of mathematical model. Cavemen did this stuff before anybody had come up with the idea of counting, let alone mathematical modelling. It's just nerve impulses, synapses and ganglia. Otters can juggle, I've seen one. The otter's not constructing mathematical models, solving differential equations or any such thing. He's playing and thinking about his next fish.
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