A Theory of Higher Order Probabilities

  • Haim Gaifman
Part of the Springer Graduate Texts in Philosophy book series (SGTP, volume 1)


The assignment of probabilities is the most established way of measuring uncertainties on a quantitative scale. In the framework of subjective probability, the probabilities are interpreted as someone’s (the agent’s) degrees of belief. Since justified belief amounts to knowledge, the assignment of probabilities, in as much as it can be justified, expresses knowledge. Indeed, knowledge of probabilities, appears to be the basic kind of knowledge that is provided by the experimental sciences today.


Discrete Case Dutch Book Empty Interval Dutch Book Argument General HOPs 
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  1. Domotor, Z. (1981). Higher order probabilities (Manuscript).Google Scholar
  2. Gaifman, H. (1983). Toward a unified concept of probability. Manuscript of invited lecture to the 1983 International Congress for Logic Philosophy and Methodology of science, salzburg. To appear in the proceedings of the congress, North Holland.Google Scholar
  3. Gardenfors, P. (1975). Qualitative probability as intentional logic. Journal of Philosophical Logic, 4, 171–185.CrossRefGoogle Scholar
  4. Good, I. J. (1965). The estimation of probabilities. Cambridge: MIT Press.Google Scholar
  5. Jaynes, E. T. (1958). Probability theory in science and engineering (Colloquium lectures in pure and applied science No 4). Dallas: Socony Mobil Oil Co Field Research Library.Google Scholar
  6. Kolmogoroff, A. N. (1933). Grundbegriffe der Wahrscheinlichkeit (Ergebnisse der Mathematik 502 und ihrer Grenzgebitte, no 2). Berlin: Springer.CrossRefGoogle Scholar
  7. Miller, D. (1966). A paradox of information. British Journal for the Philosophy of Science, 17, 59–61.CrossRefGoogle Scholar
  8. Skyrms, B. (1980a). Higher order degree of belief. In D. H. Mellor (Ed.), “Prospects for pragmatism” essays in honor of F.P. Ramsey. Cambridge: Cambridge University Press.Google Scholar
  9. Skyrms, B. (1980b). Causal necessity (Appendix 2). New-Haven: Yale.Google Scholar
  10. van Frassen, B. (1984). Belief and the will. Journal of Philosophy, 81, 235–256.CrossRefGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Haim Gaifman
    • 1
  1. 1.Columbia UniversityNew YorkUSA

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