Hostname: page-component-586b7cd67f-t8hqh Total loading time: 0 Render date: 2024-11-30T17:01:14.208Z Has data issue: false hasContentIssue false

Probabilistic Causality and the Question of Transitivity

Published online by Cambridge University Press:  01 April 2022

Elliott Sober
Affiliation:
Department of Philosophy University of Wisconsin-Madison

Abstract

After clarifying the probabilistic conception of causality suggested by Good (1961–2), Suppes (1970), Cartwright (1979), and Skyrms (1980), we prove a sufficient condition for transitivity of causal chains. The bearing of these considerations on the units of selection problem in evolutionary theory and on the Newcomb paradox in decision theory is then discussed.

Type
Research Article
Copyright
Copyright © 1983 by the Philosophy of Science Association

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Footnotes

Our thanks to Nancy Cartwright, Carter Denniston, and to an anonymous referee of this journal for several useful suggestions. We also wish to thank, respectively, the Graduate School of the University of Wisconsin-Madison, and the Graduate School of the University of Wisconsin-Madison and the National Science Foundation, for financial support.

References

Anscombe, G. E. M. (1975), “Causality and Determination”, in Sosa, E., Causation and Conditionals. Oxford: Oxford University Press.Google Scholar
Bickel, P., Hammel, E. and O'Connell, J. (1977), “Sex Bias in Graduate Admissions: Data from Berkeley”, in Fairly, W. and Mosteller, F., Statistics and Public Policy-Reading, Massachusetts: Addison-Wesley.Google Scholar
Cartwright, N. (1979), “Causal Laws and Effective Strategies”, Nous 13: 419437.CrossRefGoogle Scholar
Dretske, F. and Snyder, A. (1972), “Causal Irregularity”, Philosophy of Science 39: 6971.CrossRefGoogle Scholar
Eells, E. (1982), Rational Decision and Causality. Cambridge: Cambridge University Press.CrossRefGoogle Scholar
Fetzer, J. H. (1971), “Dispositional Probabilities”, in Buck, R. C. and Cohen, R. S., Boston Studies in the Philosophy of Science, Vol. VIII, Dordrecht: D. Reidel.Google Scholar
Fetzer, J. H. (1981), Scientific Knowledge. Dordrecht: D. Reidel.CrossRefGoogle Scholar
Fisher, R. A. (1959), Smoking. London: Oliver and Boyd.Google Scholar
Gibbard, A. and Harper, W. (1978), “Counterfactuals and Two Kinds of Expected Utility”, in Hooker, C. A., Leach, J. J., and McClennen, E. F., Foundations and Applications of Decision Theory, vol. 1. Dordrecht: D. Reidel.Google Scholar
Good, I. J. (1961–2), “A Causal Calculus I-II”, British Journal for the Philosophy of Science 44: 305318; 45: 43–51. Errata and Corrigenda, 49: 88.CrossRefGoogle Scholar
Good, I. J. (1980), “Some Comments on Probabilistic Causality”, Pacific Philosophical Quarterly 61: 301304.CrossRefGoogle Scholar
Hesslow, G. (1976), “Two Notes on the Probabilistic Approach to Causality”, Philosophy of Science 43: 290292.CrossRefGoogle Scholar
Jeffrey, R. C. (1965), The Logic of Decision. New York: McGraw-Hill.Google Scholar
Lewis, D. (1981), “Causal Decision Theory”, Australasian Journal of Philosophy 59: 530.CrossRefGoogle Scholar
Mackie, J. L. (1974), The Cement of the Universe. London: Oxford University Press.Google Scholar
Nozick, R. (1969), “Newcomb's Problem and Two Principles of Choice”, in Rescher, N., Essays in Honor of Carl. G. Hempel. Dordrecht: D. Reidel.Google Scholar
Otte, R. (1981), “A Critique of Suppes’ Theory of Probabilistic Causality”, Synthese 48: 167189.CrossRefGoogle Scholar
Popper, K. R. (1959), “The Propensity Interpretation of Probability”, British Journal for the Philosophy of Science 10: 2542.CrossRefGoogle Scholar
Rosen, D. A. (1978), “In Defense of a Probabilistic Theory of Causality”, Philosophy of Science 45: 604613.CrossRefGoogle Scholar
Russell, B. (1912), “On the Notion of Cause”, in B. Russell (1957), Mysticism and Logic. Garden City, New York: Doubleday: 174201.Google Scholar
Salmon, W. (1980), “Probabilistic Causality”, Pacific Philosophical Quarterly 61: 5074.CrossRefGoogle Scholar
Sklar, L. (1970), “Is Probability a Dispositional Property?”, Journal of Philosophy 67: 355366.CrossRefGoogle Scholar
Skyrms, B. (1980), Causal Necessity. New Haven: Yale University Press.Google Scholar
Sober, E. and Lewontin, R. (1982), “Artifact, Cause, and Genic Selection”, Philosophy of Science, 49: 157180.CrossRefGoogle Scholar
Suppes, P. (1970), A Probabilistic Theory of Causality. Amsterdam: North Holland Publishing Company.Google Scholar