Skip to main content
SpringerLink
Log in

A new semantics for the epistemology of geometry I: Modeling spacetime structure

  • Published:
Erkenntnis Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Castagnino, M.: 1971, ‘The Riemannian Structure of Space-Time as a Consequence of a Measurement Method’,Journal of Mathematical Physics 12, 2203–2211.

    Google Scholar 

  2. Coleman, R. A. and Korté, H.: 1995, ‘A New Semantics for the Epistemology of Geometry II: Epistemological Completeness of Newton-Galilei and Einstein-Maxwell Theory’, this issue.

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

    Google Scholar 

  4. 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, Philadelphia, pp. 257–274.

  5. Coleman, R. A. and Korté, H.: 1984, ‘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 

  6. 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 

  7. 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 

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

    Google Scholar 

  9. 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 

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

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

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

  14. Goldstein, H.: 1950,Classical Mechanics, Addison-Wesley Publisher Company, Inc., Reading, Massachusetts. Sixth printing.

    Google Scholar 

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

    Google Scholar 

  16. Lorentz, H. A.: 1923, ‘The Determination of the Potentials in the General Theory of Relativity, with Some Remarks about the Measurement of Length and Intervals of Time and about the Theories of Weyl and Eddington’,Proc. Acad. Amsterdam 29, 363–382.

    Google Scholar 

  17. Pirani, F. A. E.: ‘Building Space-Time from Light Rays and Free Particles’,Symposia Mathematica XII, 67–83.

  18. Reichenbach, H.: 1969,Axiomatization of the Theory of Relativity, University of California Press, Los Angeles.

    Google Scholar 

  19. Weyl, H.: 1921, Zur Infinitesimalgeometrie: Einordnung der projektiven und konformen Auffassung.Nachr. Königl. Ges. Wiss. Göttingen, Math.-phys. Kl., Reprinted in [20], pp. 99–112.

  20. Weyl, H.: 1968,Gesammelte Abhandlungen, volume 1–4. Springer Verlag, Berlin, edited by K. Chandrasekharan.

    Google Scholar 

  21. Weyl, H.: 1988,Riemanns geometrische Ideean, ihre Auswirkung und ihre Verknüpfung mit der Gruppentheorie, Springer-Verlag, Berlin. Edited by K. Chandrasekharan.

    Google Scholar 

  22. Woodhouse, N.: 1973, ‘The Differentiable and Causal Structures of Space-Time’,Journal of Mathematical Physics 14, 495–501.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. University of Regina, S4S 0A2, Regina, Saskatchewan, Canada

    Robert Alan Coleman & Herbert Korté

Authors
  1. Robert Alan Coleman
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Herbert Korté
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Coleman, R.A., Korté, H. A new semantics for the epistemology of geometry I: Modeling spacetime structure. Erkenntnis 42, 141–160 (1995). https://doi.org/10.1007/BF01128805

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01128805

Keywords

Search

Navigation