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A new semantics for the epistemology of geometry II: Epistemological completeness of Newton—Galilei and Einstein—Maxwell Theory

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References

  1. Coleman, R. A. and Korté, H.: 1995, ‘A New Semantics for the Epistemology of Geometry I, Modeling Spacetime Structure’, this issue.

  2. Coleman, R. A. and Korté, H.: 1980, ‘Jet Bundles and Path Structures’,The Journal of Mathematical Physics 21(6), 1340–1351.

    Google Scholar 

  3. Coleman, R. A. and Korté, H.: 1981, ‘SpacetimeG-Structures and their Prolongations’,The Journal of Mathematical Physics 22(11), 2598–2611.

    Google Scholar 

  4. Coleman, R. A. and Korté, H.: 1982, ‘Erratum: Jet Bundles and Path Structures’,The Journal of Mathematical Physics 23(2), 345. Erratum of [2].

    Google Scholar 

  5. Coleman, R. A. and Korté, H.: 1982, ‘The Status and Meaning of the Laws of Inertia’, inThe Proceedings of the Biennial Meeting of the Philosophy of Science Association, East Lansing, Michigan, pp. 257–274.

  6. Coleman, R. A. and Korté, H.: 1984a, ‘Constraints on the Nature of Inertial Motion Arising from the Universality of Free Fall and the Conformal Causal Structure of Spacetime’,The Journal of Mathematical Physics 25(12), 3513–3526.

    Google Scholar 

  7. Coleman, R. A. and Korté, H.: 1984b,A Realist Field Ontology of the Causal-Inertial Structure (the Refutation of Geometric Conventionalism). University of Regina Preprint, 192 pages, March 1984. Final enlarged version, entitledThe Philosophical and Mathematical Foundations of Spacetime Theories, to appear as a volume ofThe Synthese Library Series.

  8. Coleman, R. A. and Korté, H.: 1987, ‘Any Physical, Monopole, Equation-of-Motion Structure Uniquely Determines a Projective Inertial Structure and an (n — 1)-Force’,The Journal of Mathematical Physics 28(7), 1492–1498.

    Google Scholar 

  9. Coleman, R. A. and Korté, H.: 1989, ‘All Directing Fields that are Polynomial in the (n — 1)-Velocity are Geodesic’,The Journal of Mathematical Physics 30(5), 1030–1033.

    Google Scholar 

  10. Coleman, R. A. and Korté, H.: 1990, ‘Harmonic Analysis of Directing Fields’,The Journal of Mathematical Physics 31(1), 127–130.

    Google Scholar 

  11. Coleman, R. A. and Korté, H.: 1990, ‘The Physical Initial Value Problem for the General Theory of Relativity’, in Cooperstock, F. I. and Tupper, B. (eds.),General Relativity and Relativistic Astrophysics, Singapore, pp. 188–193. World Scientific. Proceedings of the third Canadian Conference on General Relativity and Relativistic Astrophysics held in Victoria.

  12. Coleman, R. A. and Korté, H.: 1991, ‘An Empirical, Purely Spatial Criterion for the Planes ofF-Simultaneity’,Foundations of Physics 24(4), 417–437.

    Google Scholar 

  13. Coleman, R. A. and Korté, H.: 1992, ‘On Attempts to Rescue the Conventionality Thesis of Distant Simultaneity in STR’,Foundations of Physics Letters 5(6), 535–571.

    Google Scholar 

  14. Coleman, R. A. and Korté, H.: 1992, ‘The Relation between the Measurement and Cauchy Problems of GTR’, in Sato, H. and Nakamura, T. (eds.),The Sixth Marcel Grossmann Meeting on General Relativity, World Scientific, pp. 97–119. Printed version of an invited talk presented at the meeting held in Kyoto, Japan, 23–29 June 1991.

  15. Coleman, R. A. and Korté, H.: 1994a, ‘Constructive Realism’, in Majer, U. and Schmidt, H.-J. (eds.),Semantical Aspects of Spacetime Theories, Wissenschaftsverlag, pp. 67–81.

  16. Coleman, R. A. and Korté, H.: 1994b ‘A Semantic Analysis of Model and Symmetry Diffeomorphisms in Modern Spacetime Theories’, in Majer, U. and Schmidt, H.-J. (eds.),Semantical Aspects of Spacetime Theories, Wissenschaftsverlag, Mannheim, pp. 83–94.

    Google Scholar 

  17. Crapo, E.: 1982, ‘The Tetrahedral-Octrahedral Truss’,Struct. Topol. 7, 51–61.

    Google Scholar 

  18. Ehlers, J., Pirani, R. A. E. and Schild, A.: 1972, ‘The Geometry of Free Fall and Light Propagation’, in L. O' Raifeartaigh, L. O. (ed.),General Relativity, Papers in Honour of J. L. Synge, Clarendon Press, Oxford, pp. 63–84.

    Google Scholar 

  19. Guillemin, V. and Sternberg, S.: 1964, ‘An Algebraic Model of Transitive Differential Geometry’,Bull. Amer. Math. Soc. 70, 16–47.

    Google Scholar 

  20. Guillemin, V. and Sternberg, S.: 1966, ‘Deformation Theory of Pseudogroup Structures’,Mem. Amer. Math. Soc. 64.

  21. Kretschmann, E.: 1917, ‘Über den physikalischen Sinn der Relativitätstheorie’,Annalen der Physik 53(16), 576–614.

    Google Scholar 

  22. Kobayashi, S. and Nomizu, K.: 1963,Foundations of Differential Geometry, Vol. 1, Interscience, New York.

    Google Scholar 

  23. Schmidt, H.-J.: 1979,Axiomatic Characterization of Physical Geometry, Vol. 111 ofLecture Notes in Physics, Springer-Verlag, Heidelberg. Edited by J. Ehlers et al.

    Google Scholar 

  24. Singer, I. M. and Sternberg, S.: 1965, ‘The Infinite Groups of Lie and Cartan’,Ann. Inst. Fourier. I. 15, 1–114.

    Google Scholar 

  25. Weyl, H.: 1921, ‘Zur Infinitesimalgeometrie: Einordnung der projektiven und konformen Auffassung’,Nachr. Königl. Ges. Wiss. Göttingen, Math.-phys. Kl., pp. 99–112. Reprinted in [26].

  26. Weyl, H.: 1968,Gesammelte Abhandlungen, Vols. 1–4, Springer Verlag, Berlin. Edited by K. Chandrasekharan.

    Google Scholar 

  27. Whiteley, W.: 1982, ‘Motions of Trusses and Bipartite Frameworks’,Struct. Topol. 7, 61–68.

    Google Scholar 

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Coleman, R.A., Korté, H. A new semantics for the epistemology of geometry II: Epistemological completeness of Newton—Galilei and Einstein—Maxwell Theory. Erkenntnis 42, 161–189 (1995). https://doi.org/10.1007/BF01128806

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