Skip to main content Accessibility help
×
Home
Hostname: page-component-768ffcd9cc-8zwnf Total loading time: 0.705 Render date: 2022-12-06T21:58:14.135Z Has data issue: true Feature Flags: { "useRatesEcommerce": false } hasContentIssue true

The Logic of Belief Persistence

Published online by Cambridge University Press:  05 December 2008

Pierpaolo Battigalli
Affiliation:
Princeton University
Giacomo Bonanno
Affiliation:
University of California

Extract

The principle of belief persistence, or conservativity principle, states that ‘When changing beliefs in response to new evidence, you should continue to believe as many of the old beliefs as possible’ (Harman, 1986, p. 46). In particular, this means that if an individual gets new information, she has to accommodate it in her new belief set (the set of propositions she believes), and, if the new information is not inconsistent with the old belief set, then (1) the individual has to maintain all the beliefs she previously had and (2) the change should be minimal in the sense that every proposition in the new belief set must be deducible from the union of the old belief set and the new information (see, e.g., Gärdenfors, 1988; Stalnaker, 1984). We focus on this minimal notion of belief persistence and characterize it both semantically and syntactically.

Type
Essays
Copyright
Copyright © Cambridge University Press 1997

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.)

References

Alchourrón, Carlos, Gärdenfors, Peter and Makinson, David. 1985. ‘On the logic of theory change: partial meet functions for contraction and revision’. Journal of Symbolic Logic, 50:510–30CrossRefGoogle Scholar
Brown, P. M. 1976. ‘Conditionalization and expected utility’. Philosophy of Science, 43:415–19CrossRefGoogle Scholar
Chellas, Brian. 1984. Modal Logic: An Introduction. Cambridge University PressGoogle Scholar
Dekel, Eddie and Gul, Faruk. 1996. ‘Rationality and knowledge in game theory’, mimeo, Northwestern University. (Forthcoming in Advances in Economic Theory, Seventh World Congress. Kreps, D. M. and Wallis, K. F. (eds.). Cambridge University Press.)Google Scholar
Friedman, Neil and Halpern, Joseph. 1995. ‘Modeling belief in dynamic systems. Part I: foundations’, RJ 9965 (87924), IBM Research DivisionGoogle Scholar
Gärdenfors, Peter. 1988. Knowledge In Flux. MIT PressGoogle Scholar
Gärdenfors, Peter and Makinson, David. 1988. ‘Revisions of knowledge systems using epistemic entrenchment’. In Proceedings of the Second TARK Conference, pp. 8395, Vardi, M. (ed.). Morgan KaufmannGoogle Scholar
Geanakoplos, John. 1994. ‘Common knowledge’. In Handbook Of Game Theory, Vol. 2, pp. 1437–96. Aumann, Robert and Hart, Sergiu (eds.). ElsevierGoogle Scholar
Halpern, Joseph. 1991. ‘The relationship between knowledge, belief and certainty’. Annals of Mathematics and Artificial Intelligence, 4:301–22CrossRefGoogle Scholar
Harman, Gilbert. 1986. Change In View: Principles Of Reasoning. MIT PressGoogle Scholar
Hintikka, Jaakko. 1962. Knowledge And Belief. Cornell University PressGoogle Scholar
van der Hoek, Wiebe. 1993. ‘Systems for knowledge and belief’, Journal of Logic and Computation, 3:173–95CrossRefGoogle Scholar
van der Hoek, Wiebe and Meyer, J.-J. Ch.. 1995. Epistemic Logic For Artificial Intelligence And Computer Science. Cambridge University PressGoogle Scholar
Howson, Colin and Urbach, Peter. 1989. Scientific Reasoning. Open CourtGoogle Scholar
Jeffrey, Richard. 1983. The Logic Of Decision, 2nd edn.University of Chicago PressGoogle Scholar
Kraus, Sarit and Lehmann, Danile. 1988. ‘Knowledge, belief and time’. Theoretical Computer Science, 58:155–74CrossRefGoogle Scholar
Lenzen, Wolfgang. 1978. ‘Recent work in epistemic logic’. Acta Philosophica Fennica, 30:1220Google Scholar
Maher, Patrick. 1993. Betting On Theories. Cambridge University PressCrossRefGoogle Scholar
Mongin, Philippe. 1994. ‘Some connections between epistemic logic and the theory of nonadditive probability’. In Patrick Suppes: Scientific Philosopher, Vol. 1, pp. 135–71. Humphreys, P. (ed.). KluwerCrossRefGoogle Scholar
Osborne, Martin and Rubinstein, Ariel. 1994. A Course In Game Theory. MIT PressGoogle Scholar
Piccione, Michele and Rubinstein, Ariel. 1995. ‘On the interpretation of decision problems with imperfect recall’. Games and Economic Behavior, forthcomingGoogle Scholar
Stalnaker, Robert. 1984. Inquiry. MIT PressGoogle Scholar
Teller, P. 1973. ‘Conditionalization and observation’. Synthese, 26:218–58CrossRefGoogle Scholar
14
Cited by

Save article to Kindle

To save this article to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

The Logic of Belief Persistence
Available formats
×

Save article to Dropbox

To save this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you used this feature, you will be asked to authorise Cambridge Core to connect with your Dropbox account. Find out more about saving content to Dropbox.

The Logic of Belief Persistence
Available formats
×

Save article to Google Drive

To save this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you used this feature, you will be asked to authorise Cambridge Core to connect with your Google Drive account. Find out more about saving content to Google Drive.

The Logic of Belief Persistence
Available formats
×
×

Reply to: Submit a response

Please enter your response.

Your details

Please enter a valid email address.

Conflicting interests

Do you have any conflicting interests? *