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Against Probabilistic Measures of Explanatory Quality

Published online by Cambridge University Press:  10 February 2022

Marc Lange*
Affiliation:
Department of Philosophy, The University of North Carolina at Chapel Hill, Chapel Hill, NC, US. Email: mlange@email.unc.edu

Abstract

Several philosophers propose probabilistic measures of how well a potential scientific explanation would explain the given evidence. These measures could elaborate “best” in “inference to the best explanation”. This paper argues that none of these measures (and no other measure built exclusively from such probabilities) succeeds. The paper considers the various rival explanations that scientists proposed for the parallelogram of forces. Scientists regarded various features of these proposals as making them more or less “lovely” (in Lipton’s sense). None of these probabilistic measures of loveliness can reflect these features. The paper concludes by considering the kinds of probabilities that could reflect these features.

Type
Article
Copyright
© The Author(s), 2022. Published by Cambridge University Press on behalf of the Philosophy of Science Association

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References

A.H. 1848. “Whewell’s Mechanics – Last Edition.The Mechanics’ Magazine 48:103–7.Google Scholar
Berzi, Vittorio, and Gorini, Vittorio. 1969. “Reciprocity Principle and Lorentz Transformations.Journal of Mathematical Physics 10:1518–24.CrossRefGoogle Scholar
Brown, Harvey. 2005. Physical Relativity. Oxford: Clarendon.CrossRefGoogle Scholar
Cohen, Michael. 2016. “On Three Measures of Explanatory Power with Axiomatic Representations.The British Journal for the Philosophy of Science 67:1077–89.CrossRefGoogle Scholar
Cohen, Michael. 2018. “Explanatory Justice: The Case of Disjunctive Explanations.Philosophy of Science 85:442–54.CrossRefGoogle Scholar
Crupi, Vincenzo, and Tentori, Katya. 2012. “A Second Look at the Logic of Explanatory Power (With Two Novel Representation Theorems).Philosophy of Science 79:365–85.CrossRefGoogle Scholar
Douven, Igor. 2017. “Inference to the Best Explanation: What Is It? And Why Should We Care?In Best Explanations: New Essays on Inference to the Best Explanation, eds. McCain, Kevin and Poston, Ted, 724. Oxford: Oxford University Press.Google Scholar
Douven, Igor, and Schupbach, Jonah. 2015a. “The Role of Explanatory Considerations in Updating.Cognition 142:299311.CrossRefGoogle ScholarPubMed
Douven, Igor, and Schupbach, Jonah. 2015b. “Probabilistic Alternatives to Bayesianism: The Case of Explanationism.Frontiers in Psychology 6:459.CrossRefGoogle ScholarPubMed
Duchayla, C.D.M.B. 1804. “Demonstration du Parallèlogramme des Forces.Bulletin des Sciences par la Société Philomathique de Paris 4:242–3.Google Scholar
Dugas, René. 1988. A History of Mechanics. New York: Dover.Google Scholar
Duhem, Pierre. 1905-6/1991. The Origins of Statics. Dordrecht: Kluwer.Google Scholar
Einstein, Albert. 1905/1989. “On the Electrodynamics of Moving Bodies.” In Collected Papers of Albert Einstein, vol. 2, trans. Beck, Anna, 140–71. Princeton: Princeton University Press.Google Scholar
Eva, Benjamin, and Stern, Reuben. 2019. “Causal Explanatory Power.The British Journal for the Philosophy of Science 70:1029–50.CrossRefGoogle Scholar
Glymour, Clark. 2015. “Probability and the Explanatory Virtues.The British Journal for the Philosophy of Science 66:591604.CrossRefGoogle Scholar
Good, I.J. 1960. “Weight of Evidence, Corroboration, Explanatory Power, Information and the Utility of Experiments.Journal of the Royal Statistical Society 22 (2):319–31.Google Scholar
Goodwin, Harvey. 1849. “On the Connection between the Sciences of Mechanics and Geometry.Transactions of the Cambridge Philosophical Society 8:269–77.Google Scholar
Kitcher, Philip. 1989. “Explanatory Unification and the Causal Structure of the World.” In Minnesota Studies in the Philosophy of Science, vol. 13, eds. Kitcher, Philip and Salmon, Wesley, 410505. Minneapolis: University of Minnesota Press.Google Scholar
Lange, Marc. 2010. “A Tale of Two Vectors.Dialectica 63:397431.CrossRefGoogle Scholar
Lange, Marc. 2016. Because Without Cause: Non-Causal Explanation in Science and Mathematics. New York: Oxford University Press.CrossRefGoogle Scholar
Lange, Marc. Forthcoming. “Putting Explanation Back Into ‘Inference to the Best Explanation.’” Noûs. https://doi-org.libproxy.lib.unc.edu/10.1111/nous.12349. Google Scholar
Lipton, Peter. 2001. “Is Explanation a Guide to inference?” In Explanation: Theoretical Approaches and Applications, eds. Hon, Giara and Rakover, Sam, 93120. Dordrecht: Kluwer.CrossRefGoogle Scholar
Lipton, Peter. 2004. Inference to the Best Explanation, 2nd ed. Abingdon: Routledge.Google Scholar
McGrew, Timothy. 2003. “Confirmation, Heuristics, and Explanatory Reasoning.The British Journal for the Philosophy of Science 54:553–67.CrossRefGoogle Scholar
Mermin, N. David. 2009. It’s About Time: Understanding Einstein’s Relativity. Princeton: Princeton University Press.Google Scholar
Mitchell, W., Young, J.R., and Imray, J.. 1860. The Circle of the Sciences, vol. IX. London: Griffin.Google Scholar
Okasha, Samir. 2000. “Van Fraassen’s Critique of Inference to the Best Explanation.Studies in History and Philosophy of Science 31:691710.CrossRefGoogle Scholar
Pal, Palash. 2003. “Nothing But Relativity.European Journal of Physics 24:315–19.CrossRefGoogle Scholar
Robison, John. 1822. A System of Mechanical Philosophy, vol. 1. Edinburgh: Murray.Google Scholar
Salmon, Wesley. 1975. “Confirmation and Relevance.” In Minnesota Studies in the Philosophy of Science, vol. 6, eds. Maxwell, Grover and Anderson, R.M., 336. Minneapolis: University of Minnesota Press.Google Scholar
Schupbach, Jonah N. 2017. “Inference to the Best Explanation, Cleaned Up and Made Respectable.” In Best Explanations: New Essays on Inference to the Best Explanation, ed. McCain, Kevin and Poston, Ted, 3961. Oxford: Oxford University Press.Google Scholar
Schupbach, Jonah N., and Sprenger, Jan. 2011. “The Logic of Explanatory Power.Philosophy of Science 78:105–27.CrossRefGoogle Scholar
Sprenger, Jan, and Hartmann, Stephan. 2019. Bayesian Philosophy of Science. Oxford: Oxford University Press.CrossRefGoogle Scholar
van Fraassen, Bas. 1980. The Scientific Image. Oxford: Clarendon.CrossRefGoogle Scholar
Whewell, William. 1832. The First Principles of Mechanics. Cambridge: L. and L.L. Deighton.Google Scholar
Whewell, William. 1858. History of Scientific Ideas, vol. 1, 3rd ed. London: Parker.Google Scholar