Abstract
This chapter contains a reprint of the first half (entitled “Positivistic Geometry”) of the paper read at the Mach Symposium in 1966 (See Chapter 9).
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Notes
A. Wald, “On a Statistical Generalization of Metric Spaces”, Proc. Nat. Acad. Sci. U.S.A., 29 (1943), 196–197.
B. Schweizer and A. Sklar, “Espaces métriques aléatoires”, Comptes Rendus Acad. Sci. Paris, 247 (1958), 2092–2094
B. Schweizer and A. Sklar, “Statistical Metric Spaces”, Pacif. J. Math. 10 (1960), 313–334.
A. N. Šerstnev, “On the Concept of a Stochastic Normalized Space”, Dokl. Akad. Nauk SSSR 149 (1963), 380–283.
For a brief summary, see B. Schweizer, “Probabilistic Metric Spaces - The First 25 Years”, The New York Statistician 19 (1967), 3–6.
B. Schweizer and A. Sklar, “Statistical Metric Spaces Arising from Sets of Random Variables in Euclidean n-Space”, Teoria Veroyatnostey 7 (1962), 456–465.
E. Schrödinger, Ann. Phys. 63 (1920), 397–456.
R. Bellman, R. Kalaba, and L. Zadeh, “Abstraction and Pattern Classification”. Math. Anal. Appl. 13 (1966), 1–7.
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© 1979 D. Reidel Publishing Company, Dordrecht, Holland
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Menger, K. (1979). Geometry and Positivism a Probabilistic Microgeometry. In: Selected Papers in Logic and Foundations, Didactics, Economics. Vienna Circle Collection, vol 10. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-9347-1_23
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DOI: https://doi.org/10.1007/978-94-009-9347-1_23
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