Skip to main content
Log in

The Noninvariance Of Deterministic Causal Models

  • 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

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

Instant access to the full article PDF.

REFERENCES

  • Adler, R. L., P. Shields, and M. Smorodinsky: 1972, 'Irreducible Markov Shifts', The Annals of Mathematical Statistics 43, 1027–1029.

    Google Scholar 

  • Gallavotti, G. and D. S. Ornstein: 1974, 'Billiards and Bernoulli Schemes', Communications in Mathematical Physics 38, 83–101.

    Google Scholar 

  • Gauss, C. F.: [1821] 1957, Theory of Least Squares, English translation, Unpublished, H. F. Trotter.

  • Holland, P. W. and P. R. Rosenbaum: 1986, 'Conditional Association and Unidimensionality in Monotone Latent Variable Models', Annals of Statistics 14, 1523–1543.

    Google Scholar 

  • Kolmogorov, A. N.: 1958, 'A New Metric Invariant of Transient Dynamical Systems and Automorphisms in Lebesgue Spaces', Doklady Akademi Nauk SSSR 119, 861–864. (Russian) MR 21 #2035a.

    Google Scholar 

  • Kolmogorov, A. N.: 1959, 'Entropy Per Unit Time as a Metric Invariant of Automorphism', Doklady Akademi Nauk SSSR 124, 754–755. (Russian) MR 2 #2035b.

    Google Scholar 

  • Laplace, P. S.: 1951, Philosophical Essay on Probabilities, Dover Publications, New York.

    Google Scholar 

  • McKinsey, J. C. C. and P. Suppes: 1953, 'Transformations of Systems of Classical Particle Mechanics', Journal of Rational Mechanics and Analysis 2, 273–289.

    Google Scholar 

  • McKinsey, J. C. C. and P. Suppes: 1955, 'On the Notion of Invariance in Classical Mechanics', British Journal for Philosophy of Science 5, 290–302.

    Google Scholar 

  • Ornstein, D. S.: 1970, 'Bernoulli Shifts with the Same Entropy are Isomorphic', Advances in Mathematics 4, 337–352.

    Google Scholar 

  • Ornstein, D. S. and B. Weiss: 1991, 'Statistical Properties of Chaotic Systems', Bulletin (New Series) of the American Mathematical Society 24, 11–116.

    Google Scholar 

  • Sinai, Y. G.: 1959, 'On the Notion of Entropy of a Dynamical System', Doklady Akademi Nauk SSSR 124, 768–771.

    Google Scholar 

  • Sinai, Y. G.: 1976, Introduction to Ergodic Theory, Princeton University Press, Princeton.

    Google Scholar 

  • Suppes, P.: 1993, 'The Transcendental Character of Determinism', in P. A. French, T. E. Uehling, and H. K. Wettstein (eds.), Midwest Studies in Philosophy, Vol. XVIII, University of Notre Dame Press, Notre Dame, IN, pp. 242–257.

    Google Scholar 

  • Suppes, P.: 1994, 'Voluntary Motion, Biological Computation and Free Will', in P. A. French, T. E. Uehling, and H. K. Wettstein (eds.), Midwest Studies in Philosophy, Vol. XIX, University of Notre Dame Press, Notre Dame, IN, pp. 452–467.

    Google Scholar 

  • Suppes, P.:1995, 'Transzendentale Prinzipien: eine Neubetrachtung der Kantschen Antinomien', Metaphysik 11, 43–54.

    Google Scholar 

  • Suppes, P.: 1996, 'The Nature and Measurement of Freedom, Social Choice and Welfare 13, 183–200.

    Google Scholar 

  • Suppes, P.: 1997, 'Freedom and Uncertainty', in H. G. Natke and Y. Ben-Haim (eds.), Uncertainty: Models and Measures, Mathematical Research., Academie Verlag, Berlin, pp. 69–83.

    Google Scholar 

  • Suppes, P. and J. A. de Barros: 1996, 'Photons, Billiards and Chaos', in P.Weingartner and G. Schurz (eds.), Law and Prediction in the Light of Chaos Research, Lecture Notes in Physics, Springer-Verlag, Berlin, pp. 189–201.

    Google Scholar 

  • Suppes, P., J. A. de Barros, and G. Oas: 'A Collection of Probabilistic Hidden-Variable Theorems and Counterexamples', in R. Pratesi and L. Ronchi (eds.), Conference Proceedings Vol. 60, Waves, Information and Foundations of Physics, Società Italiana Di Fisica, Bologna, pp. 267–291.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Suppes, P. The Noninvariance Of Deterministic Causal Models. Synthese 121, 181–198 (1999). https://doi.org/10.1023/A:1005237916478

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1005237916478

Keywords

Navigation