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Single Idea 21564

[catalogued under 5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox]

Full Idea

The 'vicious-circle principle' says 'whatever involves an apparent variable must not be among the possible values of that variable', or (less exactly) 'whatever involves ALL must not be one of ALL which it involves.

Gist of Idea

Vicious Circle: what involves ALL must not be one of those ALL


Bertrand Russell (On 'Insolubilia' and their solution [1906], p.204)

A Reaction

He offers this as a parallel to his 'no classes' principle. That referred to classes, but this refers to propositions, and specifically the Liar Paradox (which he calls the 'Epimenedes').

Book Reference

Russell,Bertrand: 'Essays in Analysis', ed/tr. Lackey,Douglas [George Braziller 1973], p.204