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A New Bayesian Solution to the Paradox of the Ravens

Published online by Cambridge University Press:  01 January 2022

Abstract

The canonical Bayesian solution to the ravens paradox faces a problem: it entails that black nonravens disconfirm the hypothesis that all ravens are black. I provide a new solution that avoids this problem. On my solution, black ravens confirm that all ravens are black, while nonblack nonravens and black nonravens are neutral. My approach is grounded in certain relations of epistemic dependence, which, in turn, are grounded in the fact that the kind raven is more natural than the kind black. The solution applies to any generalization “All F’s are G” in which F is more natural than G.

Type
Research Article
Copyright
Copyright © The Philosophy of Science Association

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Footnotes

Many thanks to Mark Crimmins, Adam Elga, Peter Godfrey-Smith, Andrew Graham, Alan Hajek, Ned Hall, Agustin Rayo, Robert Stalnaker, Michael Strevens, Roger White, Stephen Yablo, three anonymous reviewers for Philosophy of Science, and an audience at the 2007 MITing of the Minds conference, Cambridge, MA. Special thanks to Miriam Schoenfield for detailed comments on multiple drafts. I am also very grateful to Vann McGee for answering some technical questions.

References

Alexander, H. G. 1958. “The Paradoxes of Confirmation.” British Journal for the Philosophy of Science 9:227–332.CrossRefGoogle Scholar
Fitelson, Branden, and Hawthorne, James. 2010. “The Wason Task(s) and the Paradox of Confirmation.” Philosophical Perspectives 24 (1): 207–41.CrossRefGoogle Scholar
Godfrey-Smith, Peter. 2003. “Goodman’s Problem and Scientific Methodology.” Journal of Philosophy 100:573–90.Google Scholar
Good, Irving John. 1967. “The White Shoe Is a Red Herring.” British Journal for the Philosophy of Science 17 (4): 322.CrossRefGoogle Scholar
Good, Irving John 1968. “The White Shoe qua Herring Is Pink.” British Journal for the Philosophy of Science 19:156–57.CrossRefGoogle Scholar
Hempel, Carl Gustav. 1945. “Studies in the Logic of Confirmation.” Mind 54:126, 97–121.CrossRefGoogle Scholar
Horwich, Paul. 1982. Probability and Evidence. New York: Cambridge University Press.Google Scholar
Hosiasson-Lindenbaum, Janina. 1940. “On Confirmation.” Journal of Symbolic Logic 5 (4): 133–48.CrossRefGoogle Scholar
Howson, Colin, and Urbach, Peter. 1993. Scientific Reasoning: The Bayesian Approach. Chicago: Open Court.Google Scholar
Lewis, David. 1986. “A Subjectivist’s Guide to Objective Chance.” In Philosophical Papers, vol. 2, 83114. Oxford: Oxford University Press.Google Scholar
Mackie, John. 1963. “The Paradox of Confirmation.” British Journal for the Philosophy of Science 13:265–77.CrossRefGoogle Scholar
Maher, Patrick. 1999. “Inductive Logic and the Ravens Paradox.” Philosophy of Science 66:5070.CrossRefGoogle Scholar
Maher, Patrick 2004. “Probability Captures the Logic of Scientific Confirmation.” In Contemporary Debates in the Philosophy of Science, ed. Hitchcock, Christopher, 6993. Malden: Blackwell.Google Scholar
Quine, Quine Willard Van. 1969. “Natural Kinds.” In Ontological Relativity and Other Essays, 114–39. New York: Columbia University Press.CrossRefGoogle Scholar
Rosenkrantz, Roger. 1982. “Does the Philosophy of Induction Rest on a Mistake?Journal of Philosophy 79:7897.CrossRefGoogle Scholar
Royall, Richard. 1997. Statistical Evidence: A Likelihood Paradigm. New York: Chapman & Hall.Google Scholar
Swinburne, Richard. 1971. “The Paradoxes of Confirmation: A Survey.” American Philosophical Quarterly 8:318–30.Google Scholar
Vranas, Peter. 2004Hempel’s Raven Paradox: A Lacuna in the Standard Bayesian Solution.” British Journal for the Philosophy of Science 55:545–60.CrossRefGoogle Scholar