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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 4 ideas from 'Letters to Frege'

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]
Russell refuted Frege's principle that there is a set for each property [Russell, by Sorensen]
We don't assert private thoughts; the objects are part of what we assert [Russell]