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Axiomatic thermodynamics and extensive measurement. (English) Zbl 0174.55801


MSC:

80A05 Foundations of thermodynamics and heat transfer
82B30 Statistical thermodynamics
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[1] J. Aczél, Lectures on Functional Equations and Their Applications, Academic Press, New York, 1966.
[2] N. G. Alimov, ?On Ordered Semigroups?, Akademiia Nauk SSSR Izvestia, Seriia Matematicheskaia, 14 (1950) 569-576.
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[5] H. B. Callen, Thermodynamics, John Wiley and Sons, New York, 1960.
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[10] E. W. Holman, Strong and Weak Extensive Measurement, University of California, Los Angeles, mimeographed, undated. · Zbl 0181.47502
[11] D. H. Krantz, Extensive Measurement in Semiorders, University of Michigan, Report MMPP 66-6, Ann Arbor, 1966.
[12] 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).
[13] J. Pfanzagl, ?A General Theory of Measurement ? Applications to Utility?, Naval Research Logistics Quarterly 6 (1959) 283-294.
[14] 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.
[15] C. E. Shannon and W. Weaver, The Mathematical Theory of Communication, University of Illinois Press, Urbana, Illinois, 1949. · Zbl 0041.25804
[16] P. Suppes, ?A Set of Independent Axioms for Extensive Quantities?, Portugaliae Mathematica 10 (1951) 163-172. · Zbl 0044.17102
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