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.

  • 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.

  • 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.

  • Yakov Ben-Haim, 2004, Uncertainty, probability and information-gaps, Reliability Engineering and System Safety, 85: 249-266.

  • Yakov Ben-Haim, 2000, Robust rationality and decisions under severe uncertainty, Journal of the Franklin Institute, 337: 171-199.

  • Yakov Ben-Haim, 1999, Set-models of information-gap uncertainty: Axioms and an inference scheme, Journal of the Franklin Institute, 336: 1093-1117.

  • Yakov Ben-Haim, 1994, Convex models of uncertainty: Applications and Implications, Erkenntnis: An International Journal of Analytic Philosophy, 41:139-156.

  • 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