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Foundations and Philosophy
Info-gap theory deals with epistemic uncertainty - limitations on what we do know and what we can know. The attempt to model and manage epistemic uncertainty connects to a range of questions in epistemology.
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Yakov Ben-Haim, 2006, Info-gap Decision Theory: Decisions Under Severe Uncertainty, 2nd edition, Academic Press, London. Section 2.2: Is ignorance probabilistic? Chapter 4: Value judgments. Section 11.1: The Ellsberg paradox. Section 11.2: The Allais paradox. Chapter 13: Implications of info-gap uncertainty. ... Section 13.1: Holism and uncertainty. ... Section 13.2: Language, meaning and uncertainty. ... Section 13.3: Warrant and uncertainty. ... Section 13.4: Credance for info-gap inference. ... Section 13.5: Risk and uncertainty.
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Yakov Ben-Haim, 2007, Peirce, Haack and Info-gaps, in Susan Haack, A Lady of Distinctions: The Philosopher Responds to Her Critics, edited by Cornelis de Waal, Prometheus Books.
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Yakov Ben-Haim, 2004, Uncertainty, probability and information-gaps, Reliability Engineering and System Safety, 85: 249-266.
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Yakov Ben-Haim, 2000, Robust rationality and decisions under severe uncertainty, Journal of the Franklin Institute, 337: 171-199.
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Yakov Ben-Haim, 1999, Set-models of information-gap uncertainty: Axioms and an inference scheme, Journal of the Franklin Institute, 336: 1093-1117.
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Yakov Ben-Haim, 1994, Convex models of uncertainty: Applications and Implications, Erkenntnis: An International Journal of Analytic Philosophy, 41:139-156.
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George J. Klir, 2006, Uncertainty and Information: Foundations of Generalized Information Theory, Wiley Publishers. Prof. Klir discusses possible relations between info-gap models of uncertainty and the measure-theoretic models of uncertainty in Generalized Information Theory.
Questions or comments on info-gap theory? Contact me at yakov@technion.ac.il
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