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I do think there is some "fundamental truth" (whether it was "handed down to us by God" or not. Sure, maybe our math system is not able to fully express that truth (and in fact, we are pretty sure it is incomplete--that is unable to proof certain truths), but that doesn't mean it's arbitrary..

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It's arbitrary when we create a system out of thin air -- given different axioms (and findings over time) "math" would be extremely different.

Think about it this way -- there's no particular reason computers HAVE to be on a binary system. It's convenient for many a reasons, but there was an era where computers were analog and continuous, and it's feasible to engineer systems using a higher base and be discreet (and many have researched exactly this.) Quantum computers work even more differently too.

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