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Single Idea 13365

[filed under theme 5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / d. Russell's paradox ]

Full Idea

Russell's Paradox is a stripped-down version of Cantor's Paradox.

Gist of Idea

Russell's Paradox is a stripped-down version of Cantor's Paradox

Source

comment on Bertrand Russell (Letters to Frege [1902]) by Graham Priest - The Structure of Paradoxes of Self-Reference §2

Book Ref

-: 'Mind' [-], p.27

The 7 ideas with the same theme [problem with self-membership of a set]:

6407 The class of classes which lack self-membership leads to a contradiction [Russell, by Grayling]
13365 Russell's Paradox is a stripped-down version of Cantor's Paradox [Priest,G on Russell]
10711 Russell's paradox means we cannot assume that every property is collectivizing [Potter on Russell]
21689 A barber shaves only those who do not shave themselves. So does he shave himself? [Quine]
21694 Membership conditions which involve membership and non-membership are paradoxical [Quine]
7701 Can a Barber shave all and only those persons who do not shave themselves? [Jacquette]
10673 Plural language can discuss without inconsistency things that are not members of themselves [Hossack]