Hostname: page-component-78c5997874-s2hrs Total loading time: 0 Render date: 2024-11-14T22:53:04.712Z Has data issue: false hasContentIssue false

On the Explanatory Depth and Pragmatic Value of Coarse-Grained, Probabilistic, Causal Explanations

Published online by Cambridge University Press:  01 January 2022

Abstract

This article considers the thesis that a more proportional relationship between a cause and its effect yields a more abstract causal explanation of that effect, thereby producing a deeper explanation. This thesis has important implications for choosing the optimal granularity of explanation for a given explanandum. In this article, I argue that this thesis is not generally true of probabilistic causal relationships. In light of this finding, I propose a pragmatic measure of explanatory depth. This measure uses a decision-theoretic model of information pricing to determine the optimal granularity of explanation for a given explanandum, agent, and decision problem.

Type
Articles
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 am highly indebted to Katie Steele and Luc Bovens for their feedback and support throughout the writing of this article. I am also grateful to the following people for comments and conversations about this article and its subject matter: Jonathan Birch, Hugh Desmond, Phil Dowe, Bryan Roberts, Jeremy Strasser, Philippe van Basshuysen, David Watson, and several anonymous reviewers. This work was presented to audiences at London School of Economics, Australian National University, the 2016 conference of the Dutch Research School of Philosophy in Groningen, the 2017 meeting of the Munich-Sydney-Tilburg Philosophy of Science Group in Sydney, and the 2017 meeting of the Society for Metaphysics of Science at Fordham University.

References

Andersen, H. 2017. “Patterns, Information, and Causation.” Journal of Philosophy 114 (11): 592622.10.5840/jphil20171141142CrossRefGoogle Scholar
Batterman, R. W. 2001. The Devil in the Details: Asymptotic Reasoning in Explanation, Reduction, and Emergence. Oxford: Oxford University Press.10.1093/0195146476.001.0001CrossRefGoogle Scholar
Blackwell, D. 1951. “Comparison of Experiments.” In Proceedings of the Second Berkeley Symposium on Mathematical Statistics and Probability, 93102. Berkeley: University of California Press.Google Scholar
Clarke, C. 2017. “How to Define Levels of Explanation and Evaluate Their Indispensability.” Synthese 194 (6): 2211–31.10.1007/s11229-016-1053-9CrossRefGoogle Scholar
Craver, C. F. 2007. Explaining the Brain: Mechanisms and the Mosaic Unity of Neuroscience. Oxford: Clarendon.CrossRefGoogle Scholar
Dennett, D. C. 1991. “Real Patterns.” Journal of Philosophy 88 (1): 2751.10.2307/2027085CrossRefGoogle Scholar
Eberhardt, F. 2007. “Causation and Intervention.” PhD diss., Carnegie Mellon University.Google Scholar
Fenton-Glynn, L. 2016. “A Proposed Probabilistic Extension of the Halpern and Pearl Definition of ‘Actual Cause.’British Journal for the Philosophy of Science 68 (4): 10611124.10.1093/bjps/axv056CrossRefGoogle Scholar
Franklin-Hall, L. R. 2016. “High-Level Explanation and the Interventionist’s ‘Variables Problem.’British Journal for the Philosophy of Science 67 (2): 553–77.CrossRefGoogle Scholar
Garfinkel, A. 1981. Forms of Explanation: Rethinking the Questions in Social Theory. New Haven, CT: Yale University Press.Google Scholar
Good, I. J. 1967. “On the Principle of Total Evidence.” British Journal for the Philosophy of Science 17 (4): 319–21.10.1093/bjps/17.4.319CrossRefGoogle Scholar
Hitchcock, C. 1996. “The Role of Contrast in Causal and Explanatory Claims.” Synthese 107 (3): 395419.CrossRefGoogle Scholar
Hitchcock, C. 1999. “Contrastive Explanation and the Demons of Determinism.” British Journal for the Philosophy of Science 50 (4): 585612.CrossRefGoogle Scholar
Hitchcock, C., and Woodward, J. 2003. “Explanatory Generalizations, Part II: Plumbing Explanatory Depth.” Noûs 37 (2): 181–99.10.1111/1468-0068.00435CrossRefGoogle Scholar
Jackson, F., and Pettit, P. 1992. “In Defense of Explanatory Ecumenism.” Economics and Philosophy 8 (1): 121.CrossRefGoogle Scholar
Kitcher, P. 1981. “Explanatory Unification.” Philosophy of Science 48 (4): 507–31.CrossRefGoogle Scholar
Lewis, D. 1986. “Causal Explanation.” Philosophical Papers 2:214–40.Google Scholar
Lipton, P. 1990. “Contrastive Explanation.” Royal Institute of Philosophy Supplement 27:247–66.10.1017/S1358246100005130CrossRefGoogle Scholar
List, C., and Menzies, P. 2009. “Nonreductive Physicalism and the Limits of the Exclusion Principle.” Journal of Philosophy 106 (9): 475502.CrossRefGoogle Scholar
Malaterre, C. 2011. “Making Sense of Downward Causation in Manipulationism (with Illustrations from Cancer Research).” History and Philosophy of the Life Sciences 33 (4): 537–62.Google Scholar
Pearl, J. 2000. Causality: Models, Reasoning, and Inference. Cambridge: Cambridge University Press.Google Scholar
Percival, P. 2000. “Lewis’s Dilemma of Explanation under Indeterminism Exposed and Resolved.” Mind 109 (433): 3966.10.1093/mind/109.433.39CrossRefGoogle Scholar
Pocheville, A., Griffths, P., and Stotz, K. 2017. “Comparing Causes: An Information-Theoretic Approach to Specificity, Proportionality and Stability.” In Proceedings of the 15th Congress of Logic, Methodology and Philosophy of Science, ed. Leitgeb, H., Niiniluoto, I., Sober, E., and Paivi, S., 93102. London: College Pubs.Google Scholar
Putnam, H. 1979. Philosophical Papers. Vol. 2: Mind, Language and Reality. Cambridge: Cambridge University Press.Google Scholar
Resnik, M. 1987. Choices: An Introduction to Decision Theory. Minneapolis: University of Minnesota Press.Google Scholar
Savage, L. J. 1954. The Foundations of Statistics. Wiley Publications in Statistics. New York: Wiley.Google Scholar
Shannon, C. E., and Weaver, W. 1949. The Mathematical Theory of Communication. Urbana: University of Illinois Press.Google Scholar
Shapiro, L., and Sober, E. 2012. “Against Proportionality.” Analysis 72 (1): 8993.CrossRefGoogle Scholar
Sklar, L. 1993. Physics and Chance: Philosophical Issues in the Foundations of Statistical Mechanics. Cambridge: Cambridge University Press.CrossRefGoogle Scholar
Stegmann, U. 2014. “Causal Control and Genetic Causation.” Noûs 48 (3): 450–65.10.1111/j.1468-0068.2012.00867.xCrossRefGoogle Scholar
Strevens, M. 2008. Depth: An Account of Scientific Explanation. Cambridge, MA: Harvard University Press.Google Scholar
Weatherson, B. 2012. “Explanation, Idealisation and the Goldilocks Problem.” Philosophy and Phenomenological Research 84 (2): 461–73.10.1111/j.1933-1592.2011.00574.xCrossRefGoogle Scholar
Weslake, B. 2010. “Explanatory Depth.” Philosophy of Science 77 (2): 273–94.10.1086/651316CrossRefGoogle Scholar
Weslake, B. 2013. “Proportionality, Contrast and Explanation.” Australasian Journal of Philosophy 91 (4): 785–97.CrossRefGoogle Scholar
Woodward, J. 2003. Making Things Happen: A Theory of Causal Explanation. Oxford: Oxford University Press.Google Scholar
Woodward, J. 2010. “Causation in Biology: Stability, Specificity, and the Choice of Levels of Explanation.” Biology and Philosophy 25 (3): 287318.10.1007/s10539-010-9200-zCrossRefGoogle Scholar
Woodward, J. 2016. “The Problem of Variable Choice.” Synthese 193 (4): 1047–72.10.1007/s11229-015-0810-5CrossRefGoogle Scholar
Woodward, J. Forthcoming. “Explanatory Autonomy: The Role of Proportionality, Stability, and Conditional Irrelevance.” Synthese. doi:10.1007/s11229-018-01998-6.CrossRefGoogle Scholar
Yablo, S. 1992. “Mental Causation.” Philosophical Review 101 (2): 245–80.CrossRefGoogle Scholar
Ylikoski, P., and Kuorikoski, J. 2010. “Dissecting Explanatory Power.” Philosophical Studies 148 (2): 201–19.10.1007/s11098-008-9324-zCrossRefGoogle Scholar