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Understanding Conditionalization

Published online by Cambridge University Press:  01 January 2020

Christopher J. G. Meacham
Christopher J. G. Meacham*
Affiliation:
Department of Philosophy, University of Massachusetts, Amherst, MA, USA
*
Email: cmeacham@philos.umass.edu
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Abstract

At the heart of the Bayesianism is a rule, Conditionalization, which tells us how to update our beliefs. Typical formulations of this rule are underspecified. This paper considers how, exactly, this rule should be formulated. It focuses on three issues: when a subject’s evidence is received, whether the rule prescribes sequential or interval updates, and whether the rule is narrow or wide scope. After examining these issues, it argues that there are two distinct and equally viable versions of Conditionalization to choose from. And which version we choose has interesting ramifications, bearing on issues such as whether Conditionalization can handle continuous evidence, and whether Jeffrey Conditionalization is really a generalization of Conditionalization.

Keywords

ConditionalizationBayesianismbelief revisionbelief updatingformal epistemology

Information

Type
Articles
Information
Canadian Journal of Philosophy , Volume 45 , Issue 5-6: Special Issue: Belief, Action, and Rationality over Time , December 2015 , pp. 767 - 797
Copyright
Copyright © Canadian Journal of Philosophy 2015

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References

Aqvist, L. 2002. “Deontic Logic”. In Handbook of Philosophical Logic, edited by Gabbay, D. M. and Geunther, F.. Dordrecht, Netherlands: Kluwer Academic Publishers.Google Scholar
Bedke, M. S. 2009. “The Iffiest Oughts: A Guise of Reasons account of Endgiven Conditionals.” Ethics 119 (4): 672–698.10.1086/600130CrossRefGoogle Scholar
Broome, J. 1999. “Normative Requirements.” Ratio 12 (4): 398–419.CrossRefGoogle Scholar
Broome, J. 2007. “Wide or Narrow Scope?” Mind 116 (462): 359–370.10.1093/mind/fzm359CrossRefGoogle Scholar
Brunero, J. 2010. “The Scope of Rational Requirements.” Philosophical Quarterly 60 (238): 28–49.10.1111/j.1467-9213.2008.596.xCrossRefGoogle Scholar
Brunero, J. 2012. “Instrumental Rationality, Symmetry and Scope.” Philosophical Studies 157 (1): 125–140.10.1007/s11098-010-9622-0CrossRefGoogle Scholar
Christensen, D. 1992. “Confirmational Holism and Bayesian Epistemology.” Philosophy of Science 59 (4): 540–557.10.1086/289694CrossRefGoogle Scholar
Christensen, D. 2004. Putting Logic in its Place: Formal Constraints on Rational Belief. New York, NY: Oxford University Press.CrossRefGoogle Scholar
Christensen, D. 2007. “Does Murphy’s Law Apply in Epistemology? Self-Doubt and Rational Ideals.” Oxford Studies in Epistemology 2: 3–31.Google Scholar
Earman, J. 1992. Bayes or Bust? Cambridge, MA: MIT PressGoogle Scholar
Easwaran, K. 2011. “Bayesianism I: Introduction and Arguments in Favor.” Philosophy Compass 6 (5): 312–320.CrossRefGoogle Scholar
Feldman, F. 1986. Doing the Best We Can: An Essay in Informal Deontic Logic. Dordrecht, Netherlands: D. Reidel Publishing Company.10.1007/978-94-009-4570-8CrossRefGoogle Scholar
Feldman, R. 2001. “Voluntary Belief and Epistemic Evaluation”. In Knowledge, Truth, and Duty: Essays on Epistemic Justification, Responsibility, and Virtue, edited by Steup, M.. 77–92. Oxford: Oxford University Press.10.1093/0195128923.003.0006CrossRefGoogle Scholar
Field, H. 1978. “A Note on Jeffrey Conditionalization.” Philosophy of Science 45 (3): 361–367.CrossRefGoogle Scholar
Hacquard, V. 2011. “Modality”. In Semantics: An International Handbook of Natural Language Meaning, edited by Maienborn, C., von Heusinger, K., and Portner, P.. 1484–1515. Berlin: Mouton de Gruyter.Google Scholar
Howson, C., and Urbach, P.. 1993. Scientific Reasoning: The Bayesian Approach. Chicago: Open Court.Google Scholar
Howson, C., and Urbach, P.. 2006. Scientific Reasoning: The Bayesian Approach, 3rd ed. Chicago: Open Court.Google Scholar
Jeffrey, R. C. 1975. “Carnap’s Empiricism.” Minnesota Studies in the Philosophy of Science 6: 37–49.Google Scholar
Kolodny, N. 2007. “How does Coherence Matter?” Proceedings of the Aristotelian Society 107 (1pt3): 229–263.10.1111/j.1467-9264.2007.00220.xCrossRefGoogle Scholar
Kratzer, A. 1991. “Modality”. In Semantics: An International Handbook of Contemporary Research, edited by Arnim von Stechow, D. W.. 639–650. Berlin: W. de Gruyter.Google Scholar
Lange, M. 2000. “Is Jeffrey Conditionalization Defective by Virtue of being Non-commutative? Remarks on the Sameness of Sensory Experiences.” Synthese 123 (3): 393–403.CrossRefGoogle Scholar
Levi, I. 1967. “Probability Kinematics.” British Journal for the Philosophy of Science 18 (3): 197–209.Google Scholar
Lewis, D. 1980. “A Subjectivist’s Guide to Objective Chance”. In Studies in Inductive Logic and Probability, edited by Jeffrey, R. C.. Vol. 2, 83–132. Berkeley: University of California Press.Google Scholar
Lewis, D. 2010. “Why Conditionalize”. In Philosophy of Probability: Contemporary Readings, edited by Eagle, Antony, 403–407. London: Routledge.Google Scholar
Lord, E. 2013. “The Real Symmetry Problem(s) for Wide-Scope accounts of Rationality.” Philosophical Studies 3: 1–22.Google Scholar
McNamara, P. 2010. “Deontic logic”. In Stanford Encyclopedia of Philosophy, edited by Zalta, E.. Published April 21, 2010. Accessed September 1, 2015. http://plato.stanford.edu/entries/logic-deontic/Google Scholar
Schroeder, M. 2004. “The Scope of Instrumental Reason.” Philosophical Perspectives 18 (1): 337–364.CrossRefGoogle Scholar
Shpall, S. 2013. “Wide and Narrow Scope.” Philosophical Studies 163 (3): 717–736.CrossRefGoogle Scholar
Simon, H. A. 1976. “From Substantive to Procedural Rationality”. In Method and Appraisal in Economics, 129–148. Cambridge, MA: Cambridge University Press.CrossRefGoogle Scholar
Strevens, M. 2015. Notes on Bayesian Confirmation Theory. Unpublished.Google Scholar
Swanson, E. 2008. “Modality in Language.” Philosophy Compass 3 (6): 1193–1207.Google Scholar
Titelbaum, M. G. 2015. “How to Derive a Narrow-Scope Requirement from Wide-Scope Requirements.” Philosophical Studies 172 (2): 535–542.CrossRefGoogle Scholar
Way, J. 2011. “The Symmetry of Rational Requirements.” Philosophical Studies 155 (2): 227–239.CrossRefGoogle Scholar
Weisberg, J. 2011. “Varieties of Bayesianism”. In Handbook of the History of Logic, edited by Gabbay, D., Hartmann, S., and Woods, J.. Vol. 10, 477. Elsevier.Google Scholar
Williamson, T. 2000. Knowledge and its Limits. Oxford: Oxford University Press.Google Scholar
Wolterstorff, N. 2010. Practices of Belief. Cambridge: Cambridge University Press.Google Scholar