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3 ed. by M. E. Szabo, North-Holland, 1969). [4] K. Godel, Uber eine bisher noch nicht benutzte Erweiterung des finiten Standpunktes, Dialectica, 12(1958), (Coll. Works II, [5] G. Takeuti, Consistency Proof of Subsystems of classical Analysis, Ann. Math., 86(1967), [6] G. Takeuti, Proof Theory, North Holland, Amsterdam, 1st ed. 1975, 2nd ed [7] H. Friedman, Some systems of second order arithmetic and their use, Proc. ICM Vancouver 1974, vol. 1 (1975), , Canad. Math. Congress. [8] S. G. Simpson, Partial realization of Nilbert's program, J. Symb. Logic, 53(1988), [1 ) D. Hilbert, Uber das Unendliche, Math. Ann., 95(1926), [2] K. Godel, Uber formal unendscheidbare Satze der Principia Mathematica und verwandter System I, Monatshefte Math. Phys., 38(1931), 173- [3] G. Gentzen, Die Wiederspruchfreiheit der reinen Zahlentheorie, Math. Ann., 122(1936),

4 [1] M. Dehn, Ueber raumgleiche Polyeder, Nachr. Ges. Wiss. Gottingen, Math. -Phys. Kl. (1900), [3) J. -P. Sydler, Sur la decomposition des polyeder, Comment. Math. Helvet., 16(1943/44), [4] H. Hadwiger, Zur Zerlegungstheorie euklidischer Polyeder, Ann. Mat. Pura. App1. IV ser., 36(1954), [5] J.-P. Sydler, Conditions necessaires et suffisantes pour l'equivalence des polyeders de l'espace euclidien a trois dimensions, Comment. Math. Helvet., 40(1965), [6] B. Jessen, The algebra of polyhedron and Dehn-Sydler theorem, Math. Scand., 22(1968), [8] Vl. G. Boltianskii, Filbert's third problem, Winston & Sons, 1978, Washington D. C. [9] P. Car tier, Decomposition des polyedres, le point sur le troisieme probleme de Filbert, Sem. [2] W. Suss, Begrundung der Lehre von Polyederinhalt, Math. Ann., 82(1921), (1986), Soc. Math. France.

5 [2) G. Hamel, Uber die Geometrieen, in denen die Geraden die kurzesten sired, (a) Dissertation, Gottingen, (b) Math. Ann., 57(1903), [3] P. Funk, Uber Geometrien, bei denen die Geraden die kurzesten sind, Math. Ann., 101 (1929), [4] H. Busemann, The Geometry of Geodesics, Acad. Press, New York, [5] H. Busemann, Geometries in which the planes minimize area, Annali Mat. Pura appl., 55(1961), [6] A. V. Pogorelov, Hilbert's Fourth Problem, V. H. Winston & Sons, Washington D. C [7] R. V. Ambartzumian, A note on pseudo metrics on the plane, aoit. Zeit. Wahrsch. Verw. Gebiete, 39(1976), [8] Z. I. Szabo, Hilbert's Fourth Problem, Adv. Math., 59(1985),

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7 [1] Ra von Mieses, Grundlagen der Wahrscheinlichkeitrechnung, Math. Zeit., 5(1919), [2] A. Kolmogoroff, Grundbegriffe der Wahrscheinlichkeitrechnung, Erg. Math. 1933, Springer. [3] G. D. Birkhoff, Proof of the ergodic theorem, Proc. Nat. Acad. Sci. USA, 17(1931), [4] Ya. G. Sinai, Dynamical systems with elastic reflections, Russ. Math. Surveys, 25(1970), [5] C. Caratheodory, Untersuchungen fiber die Grundlagen der Thermodynamik, Math. Ann., 67(1909), [6] P. Painleve, Zees axiomes de la Mechanique, Examen critique et note sur la propagation de la lumiere, Paris, [7] J. von Neumann, Mathematische Grundlagen der Quantenmechanik, Springer, [8] I. E. Segal, Postulates for general quantum mechanics, Ann. Math., 48(1947), [9] R. Streater and A. S. Wightman, PCT, Spin and Statistics and All That, Benjamin, 1964.

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