Skip to main content
Log in

The Smith-Walley Interpretation of Subjective Probability: An Appreciation

  • Published:
Studia Logica Aims and scope Submit manuscript

Abstract

The right interpretation of subjective probability is implicit in the theories of upper and lower odds, and upper and lower previsions, developed, respectively, by Cedric Smith (1961) and Peter Walley (1991). On this interpretation you are free to assign contingent events the probability 1 (and thus to employ conditionalization as a method of probability revision) without becoming vulnerable to a weak Dutch book.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. De Finetti B., (1931) ‘Sul significato della probabilit‘à. Fund. Math. 17: 298–329

    Google Scholar 

  2. De Finetti, B., Probability, Induction and Statistics, John Wiley & Sons, New York, (1972).

  3. Earman J. (1992) Bayes or Bust?. MIT Press, Cambridge

    Google Scholar 

  4. Jeffrey R. (1983). The Logic of Decision, 2nd ed. University of Chicago Press, Chicago

    Google Scholar 

  5. Jeffrey, R., ‘Postscript 1991: new explanation revisited’, in Jeffrey 1992, 103–107.

  6. Jeffrey R. (1992). Probability and the Art of Judgement. Cambridge University Press, Cambridge

    Google Scholar 

  7. Jeffrey R., (1995) ‘Probability reparation: the problem of new explanation’. Phil. Studies 77: 97–102

    Article  Google Scholar 

  8. Ramsey, F., The Foundations of Mathematics and Other Logical Essays, Kegan Paul, London, 1931.

  9. Shimony A. (1955). ‘Coherence and the axioms of confirmation’. J. Symbolic Logic 20: 1–28

    Article  Google Scholar 

  10. Skyrms, B., ‘Convergence in radical probabilism’, Proceedings of the Biennial Meeting of the Philosophy of Science Association, Vol. Two: Symposia and Invited Papers(1994), 349–353.

  11. Smith C. (1961) ‘Consistency in statistical inference and decision’. J. Royal Stat. Soc., Ser. B 23: 1–37

    Google Scholar 

  12. Wagner C. (1997) ‘Old evidence and new explanation’. Philosophy of Science 64: 677–691

    Article  Google Scholar 

  13. Wagner C. (1999) ‘Old evidence and new explanation II’. Philosophy of Science 66: 283–288

    Article  Google Scholar 

  14. Wagner, C., ‘Old evidence and new explanation III’, Philosophy of Science 68(2001), S165–S175.

    Google Scholar 

  15. Walley P. (1991). Statistical Reasoning with Imprecise Probabilities. Chapman and Hall, London

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Carl G. Wagner.

Additional information

Special Issue Formal Epistemology I. Edited by Branden Fitelson

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wagner, C.G. The Smith-Walley Interpretation of Subjective Probability: An Appreciation. Stud Logica 86, 343–350 (2007). https://doi.org/10.1007/s11225-007-9064-7

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11225-007-9064-7

Keywords

Navigation