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Conditionalizing on Knowledge

Bibliographic Data

ID8398302
AuthorsT Williamson (0000-0002-4659-8672, University of Edinburgh, corresponding author)
Year1998
Volume49
Issue1
Pages89-121
Publication date1998-03-01
Peer ReviewedYes
Open AccessNo
TypeARTICLE
VenueThe British Journal for the Philosophy of Science (JOURNAL)
Journal identifiersISSN: 0007-0882 • E-ISSN: 1464-3537
PublisherOxford University Press (PUBLISHER • GB)
DOI10.1093/bjps/49.1.89
OpenAlexW2057239768
LanguageEN
Citations received20
References cited34

A theory of evidential probability is developed from two assumptions:(1) the evidential probability of a proposition is its probability conditional on the total evidence;(2) one's total evidence is one's total knowledge. Evidential probability is distinguished from both subjective and objective probability. Loss as well as gain of evidence is permitted. Evidential probability is embedded within epistemic logic by means of possible worlds semantics for modal logic; this allows a natural theory of higher-order probability to be developed. In particular, it is emphasized that it is sometimes uncertain which propositions are part of one's total evidence; some surprising implications of this fact are drawn out.

Bayesian probability · Conditional probability · Decision analysis · Decision theory · Description logic · Epistemic modal logic · Epistemology · Evidential decision theory · Evidential reasoning approach · Imprecise probability · Law of total probability · Mathematical economics · Modal · Modal logic · Multimodal logic · Possible world · Posterior probability · Probability theory · Proposition · Semantics (computer science) · Statistics · Artificial Intelligence · Computer Science · Epistemology, Ethics, and Metaphysics · Logic, Reasoning, and Knowledge · Mathematics · Philosophy · Philosophy and Theoretical Science

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    Open Access•Michal Masny•Erkenntnis•2025

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    Open Access•Igor Douven, DIEDERIK OLDERS•Theoria•2008

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  • Conclusion

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    Open Access•Jane Friedman•Philosophy and Phenomenological…•2017

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    Open Access•Brian Weatherson•Philosophy and Phenomenological…•2005

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    Open Access•Kevin Nelson•Synthese•2009

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    Open Access•Darren Bradley•Synthese•2021

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    Open Access•J Adam Carter, Benjamin W Jarvis et al.•Synthese•2016

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    Open Access•Bruce Talbot•Synthese•2021

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    Darren Bradley, D J Bradley•The British Journal for the…•2011

  • Open-Minded Orthodox Bayesianism by Epsilon-Conditionalization

    Open Access•Eric Raidl•The British Journal for the…•2020

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    Robert J Aumann•The Annals of Statistics•1976

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    C van Fraassen•The Journal of Philosophy•1984

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    Open Access•Patrick Maher•Philosophy of Science•1996

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  • Probability Kinematics

    Isaac Levi•The British Journal for the…•1967

Unique citing works20
Citations per year0,77
Citation span2000 - 2025 (26)
Citation velocityrecent
Highly citedNo
Citation typesNeutral: 18

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