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The Antinomy of Designation

Published online by Cambridge University Press:  14 March 2022

Gordon Matheson
Gordon Matheson*
Affiliation:
University of Southern California, Los Angeles
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Abstract

A new semantical antinomy, the antinomy of designation, is introduced into a metalanguage M with respect to a modal object language L. Carnap's device of restricting the principle of interchangeability for L does not suffice to prevent occurrence of this new antinomy. To achieve this result it seems most natural to replace the rules of designation for L by more complicated rules. This replacement suffices to prevent occurrence of the antinomy with respect to L. Moreover, it seems likely that analogous replacement will suffice to prevent occurrence of the antinomy with respect to languages which in means of expression are richer than L.

Type
Research Article
Information
Philosophy of Science , Volume 26 , Issue 3 , July 1959 , pp. 260 - 269
Copyright
Copyright © 1959 by Philosophy of Science Association

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Footnotes

1

I am indebted to Professor Rudolf Carnap for reading an earlier draft of this paper and for suggesting improvements in its formulation.

References

1. Carnap, R. Introduction to Semantics. Cambridge, Mass., 1946.Google Scholar
2. Carnap, R. Meaning and Necessity, 2d. ed. Chicago, 1956.Google Scholar
3. Carnap, R. Notes on Semantics (U. C. L. A., Phil. 261, Spring Semester 1955). Unpublished.Google Scholar
4. Church, A. The need for abstract entities in semantic analysis, Proc. Amer. Acad. of Arts and Sciences, 80 (1951), pp. 100–112.10.2307/20023640CrossRefGoogle Scholar
5. Church, A. Intensional isomorphism and identity of belief, Phil. Studies, 5 (1954), pp. 65–73.CrossRefGoogle Scholar