vicious circle principle

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theory of types

impredicative definition

Henri Poincaré (1854—1912) French mathematician and philosopher of science

Bertrand Russell (1872—1970) philosopher, journalist, and political campaigner


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Principle proposed by Poincaré and Russell in order to solve the logical and semantic paradoxes. It would ban any collection (set) containing members that can only be defined by means of the collection taken as a whole. It is effectively a ban on impredicative definitions.

Subjects: Philosophy.

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