How do you reconcile mathematical formalism and physics? The laws of physics don't change to accommodate your mathematical axioms. Those laws are already there, are universal, and don't care about your "math is just a game, we just make it up, we can make 3 = 5 if we wanted to" bullshit.
If there is no truth to mathematics and it's just a game that we make up, and we could change the rules of mathematics and make another game, then how come actual, non-deranged mathematics can accurately describe physical phenomena that occur in the world and are completely independent of whatever game you decide to make up?
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@miria notwithstanding that physical phenomena are merely approximated in most applications, a description has many properties other than accuracy, such as simplicity, generality, expressivity, any pair of which are in conflict with the other. I it's simple and general, it's likely not expressive enough, general + expressive = too complex, expressive + simple = too specific. Balancing these (and probably many other subjective criteria) to fit a human mind best is the name of the game.

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