Sabine Hossenfelder on Ultrafinitism in Physics

My comment: Wow, just when I’d given up on you you did an interesting video. About 10^100 not existing: maybe they mean something like the sense that the number three does not exist in arithmetic modulo 3. What I mean is that there might be some categorical sense that 10^100 is isomorphic to some other finite number less than that. But since I don’t know the context of this I can’t tell anything about it. Maybe I should do a Brilliant course in information theory?

See Gabriele Carcassi on The Correspondence Between Quantum and Classical Mechanics.

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Reminding me about this brilliant talk by Doron Zeilberger:


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He has some radical ideas about what constitutes proof too. The thing is that if you drop universal quantification over infinite sets then you replace it with functional dependence and you can have a consistency-preserving system that’s not complete, but gets you a nice constructive foundation that can safely be elaborated to whatever extent you have the courage and wits to actually go.


See his links for this lecture.

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