How Bayesian Confirmation Theory Handles the Paradox of the Ravens

In Ellery Eells & James H. Fetzer (eds.), The Place of Probability in Science: In Honor of Ellery Eells (1953-2006). Springer. pp. 247--275 (2010)
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Abstract

The Paradox of the Ravens (a.k.a,, The Paradox of Confirmation) is indeed an old chestnut. A great many things have been written and said about this paradox and its implications for the logic of evidential support. The first part of this paper will provide a brief survey of the early history of the paradox. This will include the original formulation of the paradox and the early responses of Hempel, Goodman, and Quine. The second part of the paper will describe attempts to resolve the paradox within a Bayesian framework, and show how to improve upon them. This part begins with a discussion of how probabilistic methods can help to clarify the statement of the paradox itself. And it describes some of the early responses to probabilistic explications. We then inspect the assumptions employed by traditional (canonical) Bayesian approaches to the paradox. These assumptions may appear to be overly strong. So, drawing on weaker assumptions, we formulate a new-and-improved Bayesian confirmation-theoretic resolution of the Paradox of the Ravens.

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Author Profiles

Branden Fitelson
Northeastern University
James Hawthorne
University of Oklahoma

References found in this work

Fact, Fiction, and Forecast.Nelson Goodman - 1983 - Cambridge: Harvard University Press.
Fact, Fiction, and Forecast.Nelson Goodman - 1955 - Philosophy 31 (118):268-269.
Causality and properties.Sydney Shoemaker - 1980 - In Peter van Inwagen (ed.), Time and Cause: Essays Presented to Richard Taylor. D. Reidel. pp. 109-35.
The continuum of inductive methods.Rudolf Carnap - 1952 - [Chicago]: University of Chicago Press.

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