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Single Idea 10711

[from 'Letters to Frege' by Bertrand Russell, in 5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / d. Russell's paradox ]

Full Idea

Russell's paradox showed that we cannot consistently assume what is sometimes called the 'naïve comprehension principle', namely that every property is collectivizing.

Gist of Idea

Russell's paradox means we cannot assume that every property is collectivizing

Source

comment on Bertrand Russell (Letters to Frege [1902]) by Michael Potter - Set Theory and Its Philosophy 03.6

Book Reference

Potter,Michael: 'Set Theory and Its Philosophy' [OUP 2004], p.43