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vicious circle principle

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circle, vicious

Overview page. Subjects: Philosophy.

A definition is viciously circular when the term to be defined reappears in the definition, or where the notion that is being defined is implicitly contained in the definition. The...

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diallelon

Overview page. Subjects: Philosophy.

(Greek, through or by means of one another)

Term used by Sir William Hamilton for a circular argument or definition. See circle, vicious.

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fallacy

Overview page. Subjects: Linguistics — Philosophy.

Any error of reasoning. Reasoning may fail in many ways, and a great variety of fallacies have been distinguished and named. The main division is into formal fallacies in which something...

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impredicative definition

Overview page. Subjects: Philosophy.

Term coined by Poincaré for a kind of definition in which a member of a set is defined in a way that presupposes the set taken as a whole. Poincaré believed that paradoxes like those of...

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theory of types

Overview page. Subjects: Philosophy.

Russell's own reaction to his paradox of the class of all classes that are not members of themselves (see Russell's paradox) was to suggest that the definition is ill-formed because it...

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