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Sufficient Conditions for Causality to Be Transitive

Published online by Cambridge University Press:  01 January 2022

Joseph Y. Halpern
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Abstract

Natural conditions are provided that are sufficient to ensure that causality as defined by approaches that use counterfactual dependence and structural equations will be transitive.

Type
Research Article
Information
Philosophy of Science , Volume 83 , Issue 2 , April 2016 , pp. 213 - 226
Copyright
Copyright © The Philosophy of Science Association

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Footnotes

†

I thank Chris Hitchcock and the anonymous reviewers of the article for perceptive comments that greatly influenced the structure and story of the article. Work supported in part by National Science Foundation grants IIS-0812045, IIS-0911036, and CCF-1214844, by Air Force Office of Scientific Research grants FA9550-08-1-0438, FA9550-09-1-0266, and FA9550-12-1-0040, and by Army Research Office grant W911NF-09-1-0281.

References

Glymour, C., and Wimberly, F.. 2007. “Actual Causes and Thought Experiments.” In Causation and Explanation, ed. Campbell, J., O’Rourke, M., and Silverstein, H., 43–67. Cambridge, MA: MIT Press.Google Scholar
Hall, N. 2000. “Causation and the Price of Transitivity.” Journal of Philosophy 97 (4): 198–222.CrossRefGoogle Scholar
Hall, N. 2004. “Two Concepts of Causation.” In Causation and Counterfactuals, ed. Collins, J., Hall, N., and Paul, L. A.. Cambridge, MA: MIT Press.Google Scholar
Hall, N. 2007. “Structural Equations and Causation.” Philosophical Studies 132:109–36.CrossRefGoogle Scholar
Halpern, J. Y. 2015. “A Modification of the Halpern-Pearl Definition of Causality.” In Proceedings of the Twenty-Fourth International Joint Conference on Artificial Intelligence, ed. Yang, Qiang and Wooldridge, Michael J., 3022–33. Palo Alto, CA: Association for the Advancement of Artificial Intelligence.Google Scholar
Halpern, J. Y., and Pearl, J.. 2001. “Causes and Explanations: A Structural-Model Approach.” Pt. 1, “Causes.” In Proceedings of the Seventeenth Conference on Uncertainty in Artificial Intelligence, 194–202. San Francisco: Morgan Kaufmann.Google Scholar
Halpern, J. Y., and Pearl, J. 2005. “Causes and Explanations: A Structural-Model Approach.” Pt. 1, “Causes.” British Journal for Philosophy of Science 56 (4): 843–87.Google Scholar
Hitchcock, C. 2001. “The Intransitivity of Causation Revealed in Equations and Graphs.” Journal of Philosophy 98 (6): 273–99.CrossRefGoogle Scholar
Hitchcock, C. 2007. “Prevention, Preemption, and the Principle of Sufficient Reason.” Philosophical Review 116:495–532.CrossRefGoogle Scholar
Lewis, D. K. 1973. Counterfactuals. Cambridge, MA: Harvard University Press.Google Scholar
Lewis, D. K. 1986. “Causation.” In Philosophical Papers, vol. 2, 159–213. New York: Oxford University Press. Originally published, without numerous postscripts, in Journal of Philosophy 70 (1973): 113–26.Google Scholar
Lewis, D. K. 2000. “Causation as Influence.” Journal of Philosophy 97 (4): 182–97.CrossRefGoogle Scholar
McDermott, M. 1995. “Redundant Causation.” British Journal for the Philosophy of Science 40:523–44.Google Scholar
Paul, L. A., and Hall, N.. 2013. Causation: A User’s Guide. Oxford: Oxford University Press.CrossRefGoogle Scholar
Woodward, J. 2003. Making Things Happen: A Theory of Causal Explanation. Oxford: Oxford University Press.Google Scholar