structure for 'Theory of Logic'    |     alphabetical list of themes    |     expand these ideas

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

[problem with self-membership of a set]

7 ideas
The class of classes which lack self-membership leads to a contradiction [Russell, by Grayling]
Russell's Paradox is a stripped-down version of Cantor's Paradox [Priest,G on Russell]
Russell's paradox means we cannot assume that every property is collectivizing [Potter on Russell]
A barber shaves only those who do not shave themselves. So does he shave himself? [Quine]
Membership conditions which involve membership and non-membership are paradoxical [Quine]
Can a Barber shave all and only those persons who do not shave themselves? [Jacquette]
Plural language can discuss without inconsistency things that are not members of themselves [Hossack]