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5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / e. Mirimanoff's paradox

[problem with extending well-founded sets]

2 ideas
The powerset of all the cardinal numbers is required to be greater than itself [Cantor, by Friend]
The next set up in the hierarchy of sets seems to be both a member and not a member of it [Priest,G]