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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What kind of evidence should we use to know which structures are real?
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I was watching an interview with a model theorist about monads in the hyperreals, and the interviewer kept going “now hang on; there aren’t *really* all these infinitesimals hanging around every number, are there?” Hence my tweet.
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If we live in a simulation, all the laws of physics and mathematics are completely arbitrary.
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