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dooglius
3 months ago
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In math, rigor is vital, but are digitized proofs ...
Agreed; e.g. if you prove something about the real numbers, the matter of how R is constructed out of your axiomatic system doesn't matter
jfarmer
3 months ago
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The picture isn't quite so clean in the constructive context, which is what many of these proof systems are rooted in, e.g.,
https://mathoverflow.net/questions/236483/difference-between...
pas
3 months ago
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there are questions where the abstraction of real numbers becomes leaky, and some axioms (or their lack) poke through.
https://en.wikipedia.org/wiki/Axiom_of_choice#Real_numbers
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