Bibliography
J. Aczél, Lectures on Functional Equations and Their Applications, Academic Press, New York, 1966.
N. G. Alimov, ‘On Ordered Semigroups’, Akademiia Nauk SSSR Izvestia, Seriia Matematicheskaia, 14 (1950) 569–576.
F. A. Behrend, ‘A Contribution to the Theory of Magnitudes and the Foundation of Analysis’, Mathematische Zeitschrift 63 (1956) 345–362.
H. A. Buchdahl, ‘A Formal Treatment of the Consequences of the Second Law of Thermodynamics in Carathéodory's Formulation’, Zeitschrift der Physik 152 (1958) 425–439.
H. B. Callen, Thermodynamics, John Wiley and Sons, New York, 1960.
G. Falk and H. Jung, ‘Axiomatik der Thermodynamik’, in Handbuch der Physik III/2, Springer Verlag, Berlin, Göttingen, Heidelberg, 1959, pp. 119–175.
L. Fuchs, Partially Ordered Algebraic Systems, Addison-Wesley, Reading, Mass., 1963.
R. Giles, Mathematical Foundations of Thermodynamics, Macmillan, N.Y., 1964.
O. Hölder, ‘Die Axiome der Quantität und die Lehre von Mass’, Berichte der sächsischen Gesellschaft der Wissenschaften, Mathematisch-physische Klasse 53 (1901) 1–64.
E. W. Holman, Strong and Weak Extensive Measurement, University of California, Los Angeles, mimeographed, undated.
D. H. Krantz, Extensive Measurement in Semiorders, University of Michigan, Report MMPP 66-6, Ann Arbor, 1966.
R. D. Luce and A. A. J. Marley, ‘Extensive Measurement When Concatenation Is Restricted and Maximal Elements May Exist’, in Essays in Honor of Ernest Nagel (ed. by S. Morgenbesser, P. Suppes, and M. G. White), St. Martin's Press, New York, 1968 (in press).
J. Pfanzagl, ‘A General Theory of Measurement — Applications to Utility’, Naval Research Logistics Quarterly 6 (1959) 283–294.
A. Rényi, ‘On Measures of Entropy and Information’, in Fourth Berkeley Symposium on Mathematical Statistics and Probability, Vol. I (ed. by J. Neyman), University of California Press, Berkeley, 1961, pp. 547–561.
C. E. Shannon and W. Weaver, The Mathematical Theory of Communication, University of Illinois Press, Urbana, Illinois, 1949.
P. Suppes, ‘A Set of Independent Axioms for Extensive Quantities’, Portugaliae Mathematica 10 (1951) 163–172.
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Roberts, F.S., Luce, R.D. Axiomatic thermodynamics and extensive measurement. Synthese 18, 311–326 (1968). https://doi.org/10.1007/BF00484975
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DOI: https://doi.org/10.1007/BF00484975