Abstract
It is my intention in this paper to survey results and problems in the theory of probabilistic causality with an emphasis on the theory in the context of space and time. In view of this emphasis, the first section is devoted to problems of space and the second to problems of time. Here, space and time are construed in the sense of classical physics, although in some of the examples considered no real physics will enter. The third section is devoted to space-time, but the problems considered are restricted to those that arise in the framework of special relativity. Questions about probability and causality are difficult enough in this framework without considering the still more difficult case of general relativity.
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References
Bell, J. S. (1964) ‘On the Einstein-Podolsky-Rosen paradox’, Physics 1, 195–200.
Clauser, J. F., Horne, M. A., Shimony, A., and Holt, R. A. (1969) ‘Proposed experiment to test local hidden-variable theories’, Physical Review Letters 23, 880–884.
Cressie, N. and Holland, P. W. (1983) ‘Characterizing the manifest probabilities of latent trait models’, Psychometrika 48, 129–141.
Fine, A. (1982) ‘Hidden variables, joint probability, and the Bell inequalities’, Physical Review Letters 48, 291–295.
Garg, A. and Mermin, N. D. (1982) ‘Correlation inequalities and hidden variables’, Physical Review Letters 49, 1220–1223.
Holland, P. W. (1981) ‘When are item response models consistent with observed data?’ Psychometrika 46, 79–92.
Holland, P. W. and Rosenbaum, P. R. (1986) ‘Conditional association and unidimensionality in monotone latent variable models’, Annals of Statistics 14, 1523–1543.
Holland, P. W. and Thayer, D. T. (1985) ‘Section pre-equating in the presence of practice effects’, Journal of Educational Statistics 10, 109–120.
Karlin, S. (1953) ‘Some random walks arising in learning models 1’, Pacific Journal of Mathematics 3, 725–726.
Lamperti, J. and Suppes, P. (1959) ‘Chains of infinite order and their application to learning theory’, Pacific Journal of Mathematics 9, 739–754.
Nelson, E. (1978) ‘Le mouvement Brownien relativiste’, by Jean-Pierre Caubet, Lecture Notes in Mathematics 559 (Springer-Verlag, Berlin, Heidelberg, New York, 1976.) Book review, Bulletin of the American Mathematical Society 84, 121–124.
Norman, M. F. (1972) Markov Processes and Learning Models. (New York: Academic Press.)
Rosenbaum, P. R. (1984) ‘Testing the conditional independence and monotonicity assumptions of item response theory’, Psychometrika 49, 425–435.
Shimony, A. (1981) ‘Critique of the papers of Fine and Suppes’, in P. D. Asquith and R. N. Giere (eds.), PSA 1980 (Vol. 2). (East Lansing, Mich.: Philosophy of Science Association.) Pp. 572–580.
Suppes, P. (1954) ‘Descartes and the problem of action at a distance’, Journal of the History of Ideas 15, 146–152.
Suppes, P. (1970) A Probabilistic Theory of Causality. (Acta Philosophica Fennica 24) (Amsterdam: North-Holland.)
Suppes, P. (1981) ‘Probability in relativistic particle theory’, Erkenntnis 16, 299–305.
Suppes, P. (1986) ‘Non-Markovian causality in the social sciences with some theorems on transitivity’, Synthese 68, 129–140.
Suppes, P. and Zanotti, M. (1980) ‘A new proof of the impossibility of hidden variables using the principles of exchangeability and identity of conditional distribution’, in P. Suppes (ed.), Studies in the Foundations of Quantum Mechanics. (East Lansing, Mich.: Philosophy of Science Association.) Pp. 173–191.
Suppes, P. and Zanotti, M. (1981) ‘When are probabilistic explanations possible?’ Synthese 48 , 191–199.
Suppes, P. and Zanotti, M. (to appear). ‘Existence of joint distribution with given covariances and Bell’s inequalities in quantum mechanics’.
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© 1988 Kluwer Academic Publishers
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Suppes, P. (1988). Probabilistic Causality in Space and Time. In: Skyrms, B., Harper, W.L. (eds) Causation, Chance and Credence. The University of Western Ontario Series in Philosophy of Science, vol 41. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2863-3_9
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DOI: https://doi.org/10.1007/978-94-009-2863-3_9
Publisher Name: Springer, Dordrecht
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