The idea that there is some "real" mathematical structure, and statements about other structures are nonsensical because "numbers don't work like that!"
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I think mathematics is about asserting a set of axioms and then seeing what facts are true about the resulting structure. We could ask whether there exists a physical system that mimics the structure, but that tells us more about our universe than the math.
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I suppose that makes me a formalist
End of conversation
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