Hostname: page-component-78c5997874-j824f Total loading time: 0 Render date: 2024-11-01T15:01:58.932Z Has data issue: false hasContentIssue false

Explaining (One Aspect of) the Principal Principle without (Much) Metaphysics

Published online by Cambridge University Press:  01 January 2022

Abstract

According to David Lewis’s Principal Principle, our beliefs about the objective chances of outcomes (typically) determine our rational credences in those outcomes. Lewis influentially argues that any adequate metaphysics of objective chance must explain why the Principal Principle holds. Since no theory of chance is widely agreed to have met this burden, I suggest we change tack. On the view I develop, a central aspect of the Principal Principle holds not because of what objective chances are but rather because of the explanatory role that objective chances play for the rational agents who believe in them.

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

My thanks to Josh Armstrong, John Carriero, Daniela Dover, Gabriel Greenberg, Matthew Kotzen, Marc Lange, John Roberts, Seana Shiffrin, and four anonymous referees. Thanks also to audiences at California State University, Northridge; California State University, Los Angeles; and University of California, Irvine.

References

Butler, Joseph. 1736. The Analogy of Religion. 2nd ed. London: Knapton.Google Scholar
Cohen, Jonathan, and Callender, Craig. 2009. “A Better Best System Account of Lawhood.” Philosophical Studies 145 (1): 134.CrossRefGoogle Scholar
Frigg, Roman, and Hoefer, Carl. 2010. “Determinism and Chance from a Humean Perspective.” In The Present Situation in the Philosophy of Science, ed. Stadler, Friedrich, 351–72. Dordrecht: Springer.Google Scholar
Glymour, Clark N. 1980. Theory and Evidence. Princeton, NJ: Princeton University Press.Google Scholar
Hájek, Alan. 2007. “The Reference Class Problem Is Your Problem Too.” Synthese 156 (3): 563–85.CrossRefGoogle Scholar
Hall, Ned. 1994. “Correcting the Guide to Objective Chance.” Mind 103 (412): 505–18.CrossRefGoogle Scholar
Hempel, Carl. 1965. “Aspects of Scientific Explanation.” In Aspects of Scientific Explanation: And Other Essays in the Philosophy of Science, 331496. New York: Free Press.Google Scholar
Hoefer, Carl. 2007. “The Third Way on Objective Probability: A Sceptic’s Guide to Objective Chance.” Mind 116 (463): 549–96.CrossRefGoogle Scholar
Lange, Marc. 2013. “Grounding, Scientific Explanation, and Humean Laws.” Philosophical Studies 164 (1): 255–61.CrossRefGoogle Scholar
Lewis, David. 1976. “Probabilities of Conditionals and Conditional Probabilities.” Philosophical Review 85 (3): 297315.CrossRefGoogle Scholar
Lewis, David 1980. “A Subjectivist’s Guide to Objective Chance.” In Studies in Inductive Logic and Probability, Vol. 2, ed. Richard C. Jeffrey, 83–132. Berkeley: University of California Press.CrossRefGoogle Scholar
Lewis, David 1994. “Humean Supervenience Debugged.” Mind 103 (412): 473–90.Google Scholar
Loewer, Barry. 2004. “David Lewis’s Humean Theory of Objective Chance.” Philosophy of Science 71 (5): 1115–25.CrossRefGoogle Scholar
Loewer, Barry 2012. “Two Accounts of Laws and Time.” Philosophical Studies 160 (1): 115–37.CrossRefGoogle Scholar
Meacham, Christopher J. G. 2010. “Two Mistakes Regarding the Principal Principle.” British Journal for the Philosophy of Science 61 (2): 407–31.CrossRefGoogle Scholar
Nelson, Kevin. 2009. “On Background: Using Two-Argument Chance.” Synthese 166 (1): 165–86.CrossRefGoogle Scholar
Railton, Peter. 1978. “A Deductive-Nomological Model of Probabilistic Explanation.” Philosophy of Science 45 (2): 206–26.CrossRefGoogle Scholar
Salmon, Wesley C. 1967. The Foundations of Scientific Inference. Pittsburgh: University of Pittsburgh Press.CrossRefGoogle Scholar
Salmon, Wesley C. 1971. Statistical Explanation and Statistical Relevance. Pittsburgh: University of Pittsburgh Press.CrossRefGoogle Scholar
Salmon, Wesley C. 1989. Four Decades of Scientific Explanation. Minneapolis: University of Minnesota Press.Google Scholar
Schwarz, Wolfgang. 2014. “Proving the Principal Principle.” In Chance and Temporal Asymmetry, ed. Wilson, Alastair, 8199. Oxford: Oxford University Press.CrossRefGoogle Scholar
Strevens, Michael. 1999. “Objective Probability as a Guide to the World.” Philosophical Studies 95 (3): 243–75.CrossRefGoogle Scholar
Thau, Michael. 1994. “Undermining and Admissibility.” Mind 103 (412): 491504.CrossRefGoogle Scholar