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Algebraic representation in the physical and behavioral sciences

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References

  • Aczél, J., ‘Quasigroups, Nets, and Nomograms’, Advances in Mathematics 1 (1965), 383–450.

    Google Scholar 

  • Aczél, J., Lectures on Functional Equations and Their Applications, Academic Press, New York, 1966.

    Google Scholar 

  • Birkhoff, G., Hydrodynamics. A Study in Logic, Fact and Similitude. Princeton University Press, Princeton, 1950.

    Google Scholar 

  • Bruck, R. H., A Survey of Binary Systems, Springer-Verlag, New York, 1971.

    Google Scholar 

  • Campbell, N. R., An Account of the Principles of Measurement and Calculation, Longmans, Green, London, 1928.

    Google Scholar 

  • Cantor, G. ‘Beiträge zur Begründung der transfiniten Mengenlehre’, Math. Ann. 46 (1895), 481–512.

    Google Scholar 

  • Causey, R. L., ‘Derived Measurement, Dimensions, and Dimensional Analysis’, Philosophy of Science 36 (1969), 252–270.

    Google Scholar 

  • Debreu, G., ‘Topological Methods in Cardinal Utility Theory’, in K. J. Arrow, S. Karlin, & P. Suppes (eds.), Mathematical methods in the social sciences, Stanford University Press, Stanford, 1960, 16–26.

    Google Scholar 

  • Ellis, B., Basic Concepts of Measurement, Cambridge University Press, London, 1966.

    Google Scholar 

  • Evans, T., A Condition for a Group to be Commutative’, Amer. Math. Monthly 68 (1961), 898–899.

    Google Scholar 

  • Fourier, J. B. J., Theorie analytique de la chaleur, Gauthier-Villars, Paris, 1822.

    Google Scholar 

  • Fuchs, L., Partially Ordered Algebraic Systems, Addison-Wesley, Reading, 1963.

    Google Scholar 

  • Guildford, J. P., Physchometric Methods, McGraw-Hill, New York, 1954.

    Google Scholar 

  • Hartman, P. A., ‘Integrally Closed and Complete Ordered Quasigroups and Loops’, Proc. Amer. Math. Soc. 33 (1972), 250–256.

    Google Scholar 

  • Helmholtz, H. V., ‘Zählen und Messen erkenntnis-theorisch betrachet’, Philosophische Aufsätze Eduard Zeller gewidmet, Leipzig, 1887.

  • Hölder, O., Die Axiome der Quantität und die Lehre Vom Mass’, Ber. Verh. Kgl. Sächsis. Ges. Wiss. Leipzig. Math.-Phys. Classe 53 (1901), 1–64.

    Google Scholar 

  • Krantz, D. H., Luce, R. D., Suppes, P. & Tversky, A., Foundations of Measurement. Vol., Academic Press, New York, 1971.

    Google Scholar 

  • Pfanzagl, J., Theory of Measurement, Wiley, New York, 1968.

    Google Scholar 

  • Suppes, P. & Zinnes, J., ‘Basic Measurement Theory’, in R. D. Luce, R. R. Bush, & E. Galanter (eds.), Handbook of Mathematical Psychology. Vol., Wiley, New York, 1963.

    Google Scholar 

  • Thun, R. E., ‘On Dimensional Analysis’, IMB J. Res. Develop. 4 (1960), 349–356.

    Google Scholar 

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Authors and Affiliations

  1. McGill University, Canada

    J. O. Ramsay

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  1. J. O. Ramsay
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This research was supported by Grant Number APA320 to the author by the National Research Council and was carried out while he was on leave at the Psychological Laboratory, University of Cambridge.

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Ramsay, J.O. Algebraic representation in the physical and behavioral sciences. Synthese 33, 419–453 (1976). https://doi.org/10.1007/BF00485455

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