Skip to main content
SpringerLink
Log in

A comparison of the meaning and uses of models in mathematics and the empirical sciences

  • Published:
Synthese 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

  • Adams, E. W. The foundations of rigid body mechanics and the derivation of its laws from those of particle mechanics. In L. Henkin, P. Suppes and A. Tarski (Eds.), The Axiomatic Method. Amsterdam: North-Holland Publishing Co., 1959.

    Google Scholar 

  • Arrow, K. J. Social Choice and Individual Values. (Cowles Commission Monograph 12) New York: Wiley, 1951.

    Google Scholar 

  • Bush, R. R., and Estes, W. K. (Eds.) Introduction in Studies in Mathematical Learning Theory. Stanford, Calif.: Stanford Univ. Press, 1959.

    Google Scholar 

  • Debreu, G. Theory of Value. (Cowles Foundation Monograph 17) New York: Wiley, 1959.

    Google Scholar 

  • Doob, J. L. Some problems concerning the consistency of mathematical models. In R. E. Machol (Ed.), Information and Decision Processes. New York: McGraw-Hill, 1960.

    Google Scholar 

  • Estes, W. K., and Suppes, P. Foundations of linear models. Chp. 8 in R. R. Bush and W. K. Estes (Eds.), Studies in Mathematical Learning Theory. Stanford, Calif.: Stanford Univ. Press, 1959.

    Google Scholar 

  • Hermes, H. Eine Axiomatisierung der allgemeinen Mechanik, Forschungen zur Logik und zur Grundlegung der exakten Wissenschaften, new series, 3 (1938), S. Hirzel, Leipzig, 48 pp.

    Google Scholar 

  • Khinchin, A. I. Statistical Mechanics. New York: Dover, 1949.

    Google Scholar 

  • Lindsay, R. B., and Margenau, H. Foundations of Physics. New York: Wiley, 1936.

    Google Scholar 

  • Noll, W. The foundations of classical mechanics in the light of recent advances in continuum mechanics. In L. Henkin, P. Suppes and A. Tarski (Eds.), The Axiomatic Method. Amsterdam: North-Holland Publishing Co., 1959.

    Google Scholar 

  • Rubin, H., and P. Suppes. Transformations of systems of relativistic particle mechanics. Pacific Journal of Mathematics, 4 (1954), pp. 563–601.

    Google Scholar 

  • Simon, H. A. Models of Man. New York: Wiley, 1957.

    Google Scholar 

  • Suppes, P. Introduction to Logic. Princeton: Van Nostrand, 1957.

    Google Scholar 

  • Suppes, P. Axioms for relativistic kinematics with or without parity. In L. Henkin, P. Suppes and A. Tarski (Eds.), The Axiomatic Method. Amsterdam: North-Holland Publishing Co., 1959.

    Google Scholar 

  • Tarski, A. A general method in proofs of undecidability. Chap. I in A. Tarski, A. Mostowski, and R. M. Robinson (Eds.), Undecidable Theories. Amsterdam: North-Holland Publishing Co., 1953

    Google Scholar 

  • Tarski, A. Contributions to the theory of models. Indagationes Mathematicae, 16 (1954), pp. 572–588, and 17 (1955), pp. 56–64.

    Google Scholar 

  • Woodger, J. H. The Axiomatic Method in Biology. Cambridge, England: Cambridge Univ. Press, 1957.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Stanford University, Stanford, Cal.

    Patrick Suppes

Authors
  1. Patrick Suppes
    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

Suppes, P. A comparison of the meaning and uses of models in mathematics and the empirical sciences. Synthese 12, 287–301 (1960). https://doi.org/10.1007/BF00485107

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00485107

Keywords

Search

Navigation