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On the Problem of Vagueness in the Social Sciences

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Information, Inference and Decision

Part of the book series: Theory and Decision Library ((TDLU,volume 1))

Abstract

Vagueness is neither uncertainty nor inexactness, though there are some connections, in particular in the social sciences. Mors certa, hora incerta the Romans said. What they meant to say was that the hour of death was uncertain. In another respect, too, namely in measurement, the ‘hora’ was rather ‘incerta’ in the sense of ‘inexact’. The hora was one twelfth of the day, yet, its length varied. The horae were announced by slaves, not by clocks, which did not exist then. The slaves knew what time it was by the length of the shadow cast by the sun, or by the ‘clepshydra’, the water-clock which measured time by means of a given quantity of water slowly dripping through it, or just by their sense of time.

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Bibliography

  • Belluce, L. P., Further Results on Infinite Valued Predicate Logic’, Journal of Symbolic Logic 29 (1964), 69–78.

    Article  Google Scholar 

  • Birkhoff, G. and von Neumann, J., On the Logic of Quantum Mechanics’, Annals of Mathematics 37 (1936), 823–843.

    Article  Google Scholar 

  • Carnap, R. and Stegmüller, W., Induktive Logik und Wahrscheinlichkeit, Wien 1958.

    Google Scholar 

  • Chang, C. C., Algebraic Analysis of Many Valued Logics’, Transactions of the American Mathematical Society 88 (1958), 467–490.

    Article  Google Scholar 

  • Chang, C. C. and Keisler, H. J., Continuous Model Theory, Princeton 1966.

    Google Scholar 

  • Goguen, J. A., L-Fuzzy Sets’, Journal of Mathematical Analysis and Applications 23 (1967), 145–174.

    Article  Google Scholar 

  • Hartwig, H., Naturwissenschaftliche und sozialwissenschaftliche Statistik’, Zeitschrift für die gesamte Staatswissenschaft 112 (1956), 252–266.

    Google Scholar 

  • Lukasiewicz, J. and Tarski, A., Untersuchungen über den Aussagenkalkül’, Comptes Rendus des Séances de la Société des Sciences et des Lettres de Varsovie, Classe III 23 (1930), 30–50.

    Google Scholar 

  • Menges, G., Three Essays in Econometrics’, Statistische Hefte 4 (1963), 1–37.

    Article  Google Scholar 

  • Menges, G., Grundriß der Statistik. Teil I: Theorie’, 2nd ed., Opladen 1972.

    Google Scholar 

  • Mill, J. St., System der deduktiven und induktiven Logik, eine Darstellung der Grundsätze der Beweislehre und der Methoden wissenschaftlicher Forschung, Leipzig 1872.

    Google Scholar 

  • Rosser, J. B., Simplified Independence Proofs, New York and London 1969. Rosser, J. B. and Turquette, A. R., Many-Valued Logics, Amsterdam 1952.

    Google Scholar 

  • Rickert, H., Die Grenzen der naturwissenschaftlichen Begriffsbildung, Tübingen 1913.

    Google Scholar 

  • Scott, D., A Proof of the Independence of the Continuum Hypothesis’, Mathematical Systems Theory 1 (1967), 89–111.

    Article  Google Scholar 

  • Skala, H. J. J., An Application of Model Theory to the Theory of Measurement’, 2nd International Game Theory Workshop, Berkeley 1970.

    Google Scholar 

  • Skala, H. J., Über einige Grundprobleme der Nutzentheorie - Nichtarchimedische Nutzentheorie’, Habilitation-Thesis, Heidelberg 1973.

    Google Scholar 

  • Zadeh, L. H., Fuzzy Sets’, Information and Control 8 (1965), 338–353.

    Article  Google Scholar 

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© 1974 D. Reidel Publishing Company, Dordrecht, Holland

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Menges, G., Skala, H.J. (1974). On the Problem of Vagueness in the Social Sciences. In: Menges, G. (eds) Information, Inference and Decision. Theory and Decision Library, vol 1. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-2159-3_2

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  • DOI: https://doi.org/10.1007/978-94-010-2159-3_2

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-277-0423-8

  • Online ISBN: 978-94-010-2159-3

  • eBook Packages: Springer Book Archive

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