Russell and the vicious circle principle

Philosophical Studies 65 (1-2):169 - 182 (1992)
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Abstract

The standard version of the story of Russell's theory of types gives legitimately precedence to the vicious circle principle, but it fails to appreciate the significance of the doctrine of incomplete symbols and of the ultimate universalist perspective of Russell's logic. It is what the Author tries to do. This enables him to resolve the apparent contradiction which exists in "Principles" between the ontological commitment of the theory itself with respect to individuals, propositions, and functions, and the inventory of the world, according to which there are only individuals and elementary facts

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Philippe De Rouilhan
Centre National de la Recherche Scientifique

References found in this work

On Denoting.Bertrand Russell - 1905 - Mind 14 (56):479-493.
Principles of mathematics.Bertrand Russell - 1931 - New York,: W.W. Norton & Company.
Mathematical Logic as Based on the Theory of Types.Bertrand Russell - 1908 - American Journal of Mathematics 30 (3):222-262.
On some difficulties in the theory of transfinite numbers and order types.Bertrand Russell - 1905 - Proceedings of the London Mathematical Society 4 (14):29-53.
Essays in Analysis.Bertrand Russell - 1973 - London, England: Allen & Unwin.

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