The idea that there is some "real" mathematical structure, and statements about other structures are nonsensical because "numbers don't work like that!"
Even if our universe were finite, the real numbers are a perfectly coherent system that one can make true or false statements about. I don’t get ultrafinitists
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It's not that it's an incoherent system, it's that there is nothing that it maps to in reality. And making the mistake of thinking that it is meaningful in practice leads to lots of problems. So we should be careful not to claim that the "real" numbers are more than a toy.
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As a physicist I use the real numbers to describe reality all the time. You can't do physics without them.
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Tbh I also don’t get constructivists. Just show me just one incident where someone used a nonconstructive proof of X, and X later turned out to have a constructive disproof.
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