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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The people who, when shown something like the surreal numbers, exclaim "Wow! I can't believe numbers work like that!"
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Replying to @CurlOfGradient
What kind of evidence should we use to know which structures are real?
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Replying to @ObjectOfObjects @CurlOfGradient
If by "real" you mean "corresponding to something observable," then none of these systems are real.
#Ultrafinitism (Or perhaps more specifically,#Actualism)2 replies 0 retweets 1 like -
Replying to @davidmanheim @ObjectOfObjects
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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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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