Vicious Circle Principle

Discipline: Philosophy

Principle introduced by Bertrand Russell (1872-1970) as a basis for the ramified theory of types.

It reads: 'Whatever involves all of a collection must not be one of that collection'; or 'If, provided a certain collection had a total, it would have members only definable in terms of that total, then the said collection has no total.'

Source:
A N Whitehead and B A W Russell, Principia Mathematica, 1 (1910), Introduction, ch. 2, p.1

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