An axiomatic approach to systems of prior distributions in inexact reasoning

  • Jonathan Lawry
  • George M. Wilmers
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 808)


We describe an axiomatic approach to the a priori choice of hierarchies of second order probability distributions within the context of inexact reasoning. In this manner we give an epistemological characterisation of a certain hierarchy of symmetric Dirichlet priors up to a parameter.


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  1. Carnap, R.: Continuum of Inductive Methods. Chicago: University of Chicago Press, 1952.Google Scholar
  2. Good, I.J.: The Estimation of Probabilities: An Essay on Modern Bayesian Methods. M.I.T Press, 1965.Google Scholar
  3. Good, I.J.: Good Thinking: The Foundations of Probability and its Applications. University of Minnesota Press, 1983.Google Scholar
  4. Johnson, W.E.: “Probability: The Deductive and Inductive Problems,” in: Mind, Vol. XLI, No. 164 (1932) 27.Google Scholar
  5. Paris, J., and A. Vencovska: “A Method for Updating Justifying Minimum Cross Entropy,” in: The Journal of Approximate Reasoning, to appear.Google Scholar
  6. Paris, J., and A. Vencovska: “Principles of Uncertain Reasoning,” in: Proceedings of the second International Colloquium on Cognitive Science, San Sebastian, Spain, 1991.Google Scholar
  7. Paris, J., A. Vencovska, and G.M. Wilmers: “A Note on Objective Inductive Inference,” in: De Glas, M., and D., Gabbay (eds.). Proceedings of the First World Conference on the Foundations of Artificial Intelligence Paris: Association Francaise pour l'Intelligence Artificialle (1991) 407–412.Google Scholar
  8. Paris, J., A. Vencovska, and G.M. Wilmers: “A Natural Prior Probability Distribution Derived From The Propositional Calculus,” in: The Annals of Pure and Applied Logic, to appear.Google Scholar
  9. Zabel, S.L.: “Symmetry and its Discontents,” in: Causation, Chance, and Credence, Vol 1. M.I.T. Press (1965) 155–190.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1994

Authors and Affiliations

  • Jonathan Lawry
    • 1
  • George M. Wilmers
    • 1
  1. 1.Department of MathematicsUniversity of ManchesterManchesterUK

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