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5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / c. Burali-Forti's paradox

[problem arising when we think of the greatest ordinal]

4 ideas
Russell discovered the paradox suggested by Burali-Forti's work [Lavine on Russell]
The Burali-Forti paradox is a crisis for Cantor's ordinals [Hart,WD]
The least ordinal greater than the set of all ordinals is both one of them and not one of them [Priest,G]
The Burali-Forti paradox asks whether the set of all ordinals is itself an ordinal [Friend]