I was reading the Wikipedia page for set theory and read the following passage: "The most common objection to set theory, one Kronecker voiced in set theory's earliest years, starts from the constructivist view that mathematics is loosely related to computation. If this view is granted, then the treatment of infinite sets, both in naive and in axiomatic set theory, introduces into mathematics methods and objects that are not computable even in principle." Why not? What are such objects and why can't they be computed even in principle? Wikipedia listed no sources for this quote.
2026-03-28 12:34:10.1774701250
What methods/objects in ZFC can't be computed and why not?
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