Hostname: page-component-cd9895bd7-gxg78 Total loading time: 0 Render date: 2024-12-23T00:30:01.607Z Has data issue: false hasContentIssue false

On the Evidential Import of Unification

Published online by Cambridge University Press:  01 January 2022

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
Copyright
Copyright © 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

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 66:591604.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 65:687715.CrossRefGoogle Scholar
Janssen, M. 2002. “COI Stories: Explanation and Evidence in the History of Science.” Perspectives on Science 10:457522.CrossRefGoogle Scholar
Kao, M. 2015. “Unification and the Quantum Hypothesis in 1900–1913.” Philosophy of Science 82:12001210.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., 93120. 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 70:399423.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 72:594607.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 60:79100.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