Roberts, Fred S.; Luce, R. Duncan Axiomatic thermodynamics and extensive measurement. (English) Zbl 0174.55801 Synthese 18, 311-326 (1968). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 Show Scanned Page Cited in 44 Documents MSC: 80A05 Foundations of thermodynamics and heat transfer 82B30 Statistical thermodynamics Keywords:structure of matter PDFBibTeX XMLCite \textit{F. S. Roberts} and \textit{R. D. Luce}, Synthese 18, 311--326 (1968; Zbl 0174.55801) Full Text: DOI References: [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. [3] F. A. Behrend, ?A Contribution to the Theory of Magnitudes and the Foundation of Analysis?, Mathematische Zeitschrift 63 (1956) 345-362. · Zbl 0070.04703 [4] 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. · Zbl 0083.21602 [5] H. B. Callen, Thermodynamics, John Wiley and Sons, New York, 1960. [6] G. Falk and H. Jung, ?Axiomatik der Thermodynamik?, in Handbuch der Physik III/2, Springer Verlag, Berlin, Göttingen, Heidelberg, 1959, pp. 119-175. [7] L. Fuchs, Partially Ordered Algebraic Systems, Addison-Wesley, Reading, Mass., 1963. · Zbl 0137.02001 [8] R. Giles, Mathematical Foundations of Thermodynamics, Macmillan, N.Y., 1964. · Zbl 0116.45204 [9] O. Hölder, ?Die Axiome der Quantität und die Lehre von Mass?, Berichte der sächsischen Gesellschaft der Wissenschaften, Mathematisch-physische Klasse 53 (1901) 1-64. [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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.