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On the Evidential Import of Unification

Published online by Cambridge University Press:  01 January 2022

Wayne C. Myrvold
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Abstract

There are two senses in which a hypothesis may be said to unify evidence: (1) ability to increase the mutual information of a set of evidence statements; (2) explanation of commonalities in phenomena by positing a common origin. On Bayesian updating, only Mutual Information Unification contributes to incremental support. Defenders of explanation as a confirmatory virtue that makes independent contribution must appeal to some relevant difference between humans and Bayesian agents. I argue that common origin unification has at best a limited heuristic role in confirmation. Finally, Reichenbachian common cause hypotheses are shown to be instances of Mutual Information Unification.

Type
Research Article
Information
Philosophy of Science , Volume 84 , Issue 1 , January 2017 , pp. 92 - 114
Copyright
Copyright © The Philosophy of Science Association

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Footnotes

†

I thank Michel Janssen, Marc Lange, Bill Harper, and Molly Kao for helpful discussions. I am grateful to Clark Glymour for raising the question, addressed in sec. 7, of how common-cause explanations fit into the framework. This work was supported, in part, by a grant from the Social Sciences and Humanities Research Council of Canada.

References

Brössel, P. 2015. “Keynes’s Coefficient of Dependence Revisited.” Erkenntnis 80:521–53.CrossRefGoogle Scholar
Crupi, V., and Tentori, K.. 2012. “A Second Look at the Logic of Explanatory Power with Two Novel Representation Theorems.” Philosophy of Science 79:365–85.CrossRefGoogle Scholar
Glymour, C. 2015. “Probability and the Explanatory Virtues.” British Journal for the Philosophy of Science 66:591–604.CrossRefGoogle Scholar
Good, I. J. 1950. Probability and the Weighing of Evidence. London: Griffin.Google Scholar
Good, I. J. 1960. “Weight of Evidence, Corroboration, Explanatory Power, Information and the Utility of Experiments.” Journal of the Royal Statistical Society B 22:319–22.Google Scholar
Good, I. J. 1971. “Twenty-Seven Principles of Rationality.” In Foundations of Statistical Inference, ed. Godambe, V. P. and Sprott, D. A., 123–27. Toronto: Holt, Rinehart & Winston. Repr. in I. J. Good, Good Thinking: The Foundations of Probability and Its Applications (Minneapolis: University of Minnesota Press, 1983), 15–19.Google Scholar
Sprott, D. A. 1976. “The Bayesian Influence; or, How to Sweep Subjectivism under the Carpet.” In Foundations of Probability Theory, Statistical Inference, and Statistical Theories of Science, ed. Harper, W. L. and Hooker, C., 2:125–74. Dordrecht: Reidel. Repr. in I. J. Good, Good Thinking: The Foundations of Probability and Its Applications (Minneapolis: University of Minnesota Press, 1983), 22–55.Google Scholar
Henderson, L. 2014. “Bayesianism and Inference to the Best Explanation.” British Journal for the Philosophy of Science 65:687–715.CrossRefGoogle Scholar
Janssen, M. 2002. “COI Stories: Explanation and Evidence in the History of Science.” Perspectives on Science 10:457–522.CrossRefGoogle Scholar
Kao, M. 2015. “Unification and the Quantum Hypothesis in 1900–1913.” Philosophy of Science 82:1200–1210.CrossRefGoogle Scholar
Keynes, J. M. 1921. A Treatise on Probability. London: Macmillan.Google Scholar
Lange, M. 2004. “Bayesianism and Unification: A Reply to Wayne Myrvold.” Philosophy of Science 71:205–15.CrossRefGoogle Scholar
Lipton, P. 2001. “Is Explanation a Guide to Inference? A Reply to Wesley C. Salmon.” In Explanation: Theoretical Approaches and Applications, ed. Hon, G. and Rackover, S. S., 93–120. Dordrecht: Kluwer.CrossRefGoogle Scholar
Rackover, S. S. 2004. Inference to the Best Explanation. 2nd ed. London: Routledge.Google Scholar
McGrew, T. 2003. “Confirmation, Heuristics, and Explanatory Reasoning.” British Journal for the Philosophy of Science 54:553–67.CrossRefGoogle Scholar
Myrvold, W. C. 1996. “Bayesianism and Diverse Evidence: A Reply to Andrew Wayne.” Philosophy of Science 63:661–65.CrossRefGoogle Scholar
Myrvold, W. C. 2003. “A Bayesian Account of the Virtue of Unification.” Philosophy of Science 70:399–423.CrossRefGoogle Scholar
Myrvold, W. C. 2011. “Epistemic Values and the Value of Learning.” Synthese 87:547–68.Google Scholar
Perrin, J. 1913. Les Atomes. Paris: Alcan.Google Scholar
Perrin, J. 1916. Atoms. Trans. Hammick, D. L.. New York: Van Nostrand.Google Scholar
Popper, K. R. 1954. “Degree of Confirmation.” British Journal for the Philosophy of Science 5:143–49.CrossRefGoogle Scholar
Popper, K. R. 1959. The Logic of Scientific Discovery. New York: Basic.Google Scholar
Ptolemy. 1984. Ptolemy’s Almagest. Trans. Toomer, G. J.. London: Duckworth.Google Scholar
Reichenbach, H. 1956. The Direction of Time. Berkeley: University of California Press.CrossRefGoogle Scholar
Salmon, W. C. 2001. “Reflections of a Bashful Bayesian: A Reply to Peter Lipton.” In Explanation: Theoretical Approaches and Applications, ed. Hon, G. and Rackover, S. S., 121–35. Dordrecht: Kluwer.Google Scholar
Schlosshauer, M., and Wheeler, G.. 2011. “Focused Correlation, Confirmation, and the Jigsaw Puzzle of Variable Evidence.” Philosophy of Science 78:376–92.CrossRefGoogle Scholar
Schupbach, J. N. 2005. “On a Bayesian Analysis of the Virtue of Unification.” Philosophy of Science 72:594–607.CrossRefGoogle Scholar
Schupbach, J. N., and Sprenger, J.. 2011. “The Logic of Explanatory Power.” Philosophy of Science 78:105–27.CrossRefGoogle Scholar
Shogenji, T. 1999. “Is Coherence Truth Conducive?” Analysis 59:338–45.CrossRefGoogle Scholar
van Fraassen, B. 1989. Laws and Symmetry. Oxford: Oxford University Press.CrossRefGoogle Scholar
Wayne, A. 1995. “Bayesianism and Diverse Evidence.” Philosophy of Science 62:111–21.CrossRefGoogle Scholar
Wheeler, G. 2009. “Focused Correlation and Confirmation.” British Journal for the Philosophy of Science 60:79–100.CrossRefGoogle Scholar
Wheeler, G., and Scheines, R.. 2013. “Coherence and Confirmation through Causation.” Mind 122:135–70.CrossRefGoogle Scholar
Yule, G. U. 1911. An Introduction to the Theory of Statistics. London: Griffin.CrossRefGoogle Scholar