, Volume 121, Issue 1–2, pp 181–198 | Cite as

The Noninvariance Of Deterministic Causal Models

  • Patrick Suppes


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  1. Adler, R. L., P. Shields, and M. Smorodinsky: 1972, 'Irreducible Markov Shifts', The Annals of Mathematical Statistics 43, 1027–1029.Google Scholar
  2. Gallavotti, G. and D. S. Ornstein: 1974, 'Billiards and Bernoulli Schemes', Communications in Mathematical Physics 38, 83–101.Google Scholar
  3. Gauss, C. F.: [1821] 1957, Theory of Least Squares, English translation, Unpublished, H. F. Trotter.Google Scholar
  4. 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
  5. 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
  6. 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
  7. Laplace, P. S.: 1951, Philosophical Essay on Probabilities, Dover Publications, New York.Google Scholar
  8. 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
  9. 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
  10. Ornstein, D. S.: 1970, 'Bernoulli Shifts with the Same Entropy are Isomorphic', Advances in Mathematics 4, 337–352.Google Scholar
  11. 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
  12. Sinai, Y. G.: 1959, 'On the Notion of Entropy of a Dynamical System', Doklady Akademi Nauk SSSR 124, 768–771.Google Scholar
  13. Sinai, Y. G.: 1976, Introduction to Ergodic Theory, Princeton University Press, Princeton.Google Scholar
  14. 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
  15. 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
  16. Suppes, P.:1995, 'Transzendentale Prinzipien: eine Neubetrachtung der Kantschen Antinomien', Metaphysik 11, 43–54.Google Scholar
  17. Suppes, P.: 1996, 'The Nature and Measurement of Freedom, Social Choice and Welfare 13, 183–200.Google Scholar
  18. 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
  19. 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
  20. 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.Google Scholar

Copyright information

© Kluwer Academic Publishers 1999

Authors and Affiliations

  • Patrick Suppes
    • 1
  1. 1.Department of PhilosophyStanford UniversityStanfordUSA

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