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Vagueness and Logic

Published online by Cambridge University Press:  14 March 2022

Carl G. Hempel*
Affiliation:
New York

Extract

As is rather generally admitted today, the terms of our language in scientific as well as in everyday use, are not completely precise, but exhibit a more or less high degree of vagueness. It is the purpose of this paper to examine the consequences of this circumstance for a series of questions which belong to the field of logic. First of all, the meaning and the logical status of the concept of vagueness will be analyzed; then we will try to find out whether logical terms are free from vagueness, and whether vagueness has an influence upon the validity of the customary principles of logic; finally, the possibilities of diminishing the vagueness of scientific concepts by suitable logical devices will be briefly dealt with.

Type
Research Article
Copyright
Copyright © The Philosophy of Science Association

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References

BIBLIOGRAPHY

Black, Max [1] Vagueness. An exercise in logical analysis. Philosophy of Science 4 (1937), 427455.CrossRefGoogle Scholar
Carnap, R. [1] Philosophy and Logical Syntax. Kegan Paul, London, 1935.Google Scholar
[2] The Logical Syntax of Language. New York and London, 1937.Google Scholar
[3] Physikalische Begriffsbildung. Braun, Karlsruhe, 1926.Google Scholar
[4] Foundations of Logic and Mathematics. Encyclopedia of Unified Science, Vol. I, No. 3. The University of Chicago Press. Forthcoming 1939.Google Scholar
Hempel, C. G. and Oppenheim, P. [1] Der Typusbegriff im Lichte der neuen Logik. Sijthoff, Leiden, 1936.Google Scholar
Kokoszynska, M. [1] Ueber den absoluten Wahrheitsbegriff und einige andere semantische Begriffe. Erkenntnis 6, 1936.CrossRefGoogle Scholar
Morris, C. W. [1] Foundations of the Theory of Signs. International Encyclopedia of Unified Science, Vol. I, No. 2. The University of Chicago Press, 1938.Google Scholar
Oppenheim, P. [1] Von Klassenbegriffen zu Ordnungsbegriffen. Travaux du IX Congrès International de Philosophie, Paris 1937.—Hermann et Cie, Paris, 1937.Google Scholar
Tarski, A. [1] Der Wahrheitsbegriff in den formalisierten Sprachen. Studia Philosophica 1 (1935), 261405.Google Scholar