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5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / d. Russell's paradox

[problem with self-membership of a set]

5 ideas
The class of classes which lack self-membership leads to a contradiction [Grayling on Russell]
Can a Barber shave all and only those persons who do not shave themselves? [Jacquette]
Russell's Paradox is a stripped-down version of Cantor's Paradox [Priest,G]
Russell's paradox means we cannot assume that every property is collectivizing [Potter]
Plural language can discuss without inconsistency things that are not members of themselves [Hossack]