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Bayesianism and Irrelevant Conjunction

Published online by Cambridge University Press:  01 January 2022

Patrick Maher
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Abstract

Bayesian confirmation theory offers an explicatum for a pretheoretic concept of confirmation. The “problem of irrelevant conjunction” for this theory is that, according to some people's intuitions, the pretheoretic concept differs from the explicatum with regard to conjunctions involving irrelevant propositions. Previous Bayesian solutions to this problem consist in showing that irrelevant conjuncts reduce the degree of confirmation; they have the drawbacks that (i) they don't hold for all ways of measuring degree of confirmation and (ii) they don't remove the conflict with intuition but merely “soften the impact” (as Fitelson has written). A better solution, which avoids both these drawbacks, is to show that the intuition is wrong.

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Type
Research Article
Information
Philosophy of Science , Volume 71 , Issue 4 , October 2004 , pp. 515 - 520
Copyright
Copyright © The Philosophy of Science Association

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Footnotes

‡

I thank Branden Fitelson and the referees for their comments on earlier versions of this paper.

References

Carnap, Rudolf (1950), Logical Foundations of Probability, 2d ed., 1962. Chicago: University of Chicago Press.Google Scholar
Earman, John (1992), Bayes or Bust? A Critical Examination of Bayesian Confirmation Theory. Cambridge, MA: MIT Press.Google Scholar
Fitelson, Branden (2002), “Putting the Irrelevance Back into the Problem of Irrelevant Conjunction”, Putting the Irrelevance Back into the Problem of Irrelevant Conjunction 69:611–622.Google Scholar
Gemes, Ken (1994), “A New Theory of Content I: Basic Content”, A New Theory of Content I: Basic Content 23:595–620.Google Scholar
Goodman, Nelson (1979), Fact, Fiction, and Forecast, 3d ed. Indianapolis: Hackett.Google Scholar
Hawthorne, James, and Fitelson, Branden (2004), “Re-solving Irrelevant Conjunction with Probabilistic Independence”, Re-solving Irrelevant Conjunction with Probabilistic Independence 71:505–514.Google Scholar
Horwich, Paul (1982), Probability and Evidence. Cambridge: Cambridge University Press.Google Scholar
Kuipers, Theo A. F. (2000), From Instrumentalism to Constructive Realism. Dordrecht: Kluwer.CrossRefGoogle Scholar
Milne, Peter (1996), “Log $[ p( h/ eb) / p( h/ b) ]$ is the One True Measure of Confirmation”, Philosophy of Science 63:21–26.CrossRefGoogle Scholar
Nicod, Jean (1923), Le Problème Logique de l'Induction. Paris: Alcan.Google Scholar
Nicod, Jean (1970), Geometry and Induction. [English translation of works originally published in French in 1923 and 1924.] Berkeley and Los Angeles: University of California Press.Google Scholar
Rosenkrantz, R. D. (1994), “Bayesian Confirmation: Paradise Regained”, Bayesian Confirmation: Paradise Regained 45:467–476.Google Scholar