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Interactive Causes: Revising the Markov Condition

Published online by Cambridge University Press:  01 January 2022

Gerhard Schurz
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Abstract

This article suggests a revision of the theory of causal nets (TCN). In section 1 we introduce an axiomatization of TCN based on a realistic understanding. It is shown that the causal Markov condition entails three independent principles. In section 2 we analyze indeterministic decay as the major counterexample to one of these principles: screening off by common causes (SCC). We call SCC-violating common causes interactive causes. In section 3 we develop a revised version of TCN, called TCN*, which accounts for interactive causes. It is shown that there are interactive causal models that admit of no faithful noninteractive reconstruction.

Type
Research Article
Information
Philosophy of Science , Volume 84 , Issue 3 , July 2017 , pp. 456 - 479
Copyright
Copyright © The Philosophy of Science Association

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References

Arntzenius, Frank. 2010. “Reichenbach’s Common Cause Principle.” In Stanford Encyclopedia of Philosophy, ed. Zalta, Edwin N.. Stanford, CA: Stanford University. http://plato.stanford.edu/archives/fall2010/entries/physics-Rpcc/.Google Scholar
Berkson, Joseph. 1946. “Limitations of the Application of Fourfold Table Analysis to Hospital Data.” Biometrics Bulletin 2 (3): 47–53.CrossRefGoogle ScholarPubMed
Cartwright, Nancy. 2007. Hunting Causes and Using Them. Cambridge: Cambridge University Press.CrossRefGoogle Scholar
Earman, John. 1986. A Primer on Determinism. Dordrecht: Reidel.CrossRefGoogle Scholar
Haussman, Daniel, and Woodward, James. 1999. “Independence, Invariance, and the Causal Markov Condition.” British Journal for the Philosophy of Science 50:1–63.Google Scholar
Hitchcock, Christopher. 2010. “Probabilistic Causation.” In Stanford Encyclopedia of Philosophy, ed. Zalta, Edwin N.. Stanford, CA: Stanford University. http://plato.stanford.edu/archives/win2011/entries/causation-probabilistic/.Google Scholar
Lauritzen, Steffen L., Dawid, Philip A., Larsen, B. N., and Leimer, H.-G.. 1990. “Independence Properties of Directed Markov-Fields.” Networks 20:491–505.CrossRefGoogle Scholar
Näger, Paul. 2016. “The Causal Problem of Entanglement.” Synthese 193:1127–55.CrossRefGoogle Scholar
Norton, John. 2008. “The Dome: An Unexpectedly Simple Failure of Determinism.” Philosophy of Science 75:786–98.CrossRefGoogle Scholar
Pearl, Judea. 1988. Probabilistic Reasoning in Intelligent Systems. San Francisco: Kaufmann.Google Scholar
Pearl, Judea 2000. Causality: Models, Reasoning and Inference. Cambridge: Cambridge University Press.Google Scholar
Pearl, Judea 2009. Causality: Models, Reasoning and Inference. 2nd ed. Cambridge: Cambridge University Press.CrossRefGoogle Scholar
Reichenbach, Hans. 1956. The Direction of Time. Berkeley: University of California Press.CrossRefGoogle Scholar
Richardson, T. 2003. “Markov Properties for Acyclic Directed Mixed Graphs.” Scandinavian Journal of Statistics 30:145–57.CrossRefGoogle Scholar
Salmon, Wesley. 1984. Scientific Explanation and the Causal Structure of the World. Princeton, NJ: Princeton University Press.Google Scholar
Schurz, Gerhard, and Gebharter, Alexander. 2016. “Causality as a Theoretical Concept.” Synthese 193:1073–1103.CrossRefGoogle Scholar
Spirtes, Peter, Glymour, Clark, and Scheines, Richard. 1993. Causation, Prediction, and Search. Cambridge, MA: MIT Press.CrossRefGoogle Scholar
Spirtes, Peter, Glymour, Clark, and Scheines, Richard 2000. Causation, Prediction, and Search. 2nd ed. Cambridge, MA: MIT Press.Google Scholar
Van Fraassen, Bas. 1980. The Scientific Image. Oxford: Clarendon.CrossRefGoogle Scholar
Wood, Christopher J., and Spekkens, Robert W.. 2015. “The Lesson of Causal Discovery Algorithms for Quantum Correlations.” New Journal of Physics 17. doi:10.1088/1367-2630/17/3/033002.CrossRefGoogle Scholar
Zhang, Jiji, and Spirtes, Peter. 2008. “Detection of Unfaithfulness and Robust Causal Inference.” Minds and Machines 18:239–71.CrossRefGoogle Scholar
Zhang, Jiji, and Spirtes, Peter 2011. “Intervention, Determinism, and the Causal Minimality Condition.” Synthese 182 (3): 335–47.CrossRefGoogle Scholar