Someone apparently never used calipers or slide rules.https://twitter.com/NegarestaniReza/status/1248950988695842820 …
Your orrery example is good because it brings up a more interesting question in the realm of modeling, which is the difference between algorithmic models and physical models such as for example drosophila melanogaster.
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I would say that the AM is both an algorithmic model and a physical model, and that it embodies (or instantiates) a mathematical theory of the cosmos. (In fact, it seems to have instantiated two theories: the Greek and the Babylonian cosmologies.)
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Great, but let's note that 'they embodied (or instantiated) a mathematical theory of the cosmos' in a highly constrained and specific framework of motion.
End of conversation
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