All mathematics is produced by physical objects (brains, computers). Therefore the laws of physics determine what theorems are possible, and mathematics has no existence independent of our universe.
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How do you reconcile this with Gödels incompleteness, uncountable sets, the Halting Problem? If mathematics is axiomatically inconsistent or otherwise can't be validated, it exists beyond the scope of human/machine cognition. If that's your baseline they can't exist.
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That's a good point, and a perfectly valid argument for the principles themselves but potentially not for what they contain. This may imply the principles exists, the information contained in the principles cannot exist, therefore the principles are also false.
Kiitos. Käytämme tätä aikajanasi parantamiseen. KumoaKumoa
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