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this post was submitted on 26 Jan 2025
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huh
isn't this just Russell's paradox
wikipedia
if I recall correctly Russell's Paradox was how ZFC set theory became the standard set theory
ZF handles it. The C adds the axiom of choice. But ZF is enough for dealing with the Russel paradox. Oddly enough, Zermelo, the Z in ZF, published the Russel paradox a year before Russel.