Hostname: page-component-76fb5796d-45l2p Total loading time: 0 Render date: 2024-04-28T18:24:53.964Z Has data issue: false hasContentIssue false

Statistical Laws and Personal Propensities

Published online by Cambridge University Press:  31 January 2023

Brian Skyrms*
Affiliation:
University of California, Berkeley

Extract

By “Propensities” I mean the kind of probabilities that figure in laws of nature. Propensities might be (i) relative frequencies, finite or long run, de facto or modalized, or (ii) reflections of our epistemic probabilities or (iii) sui generus theoretical notions. I believe that the whole family of relative frequency proposals (i) are inadequate. As an alternative I wish to suggest (ii) an epistemic account of propensities and of nomic force in general, in the spirit of Hume, Mill, DeFinetti, Ayer, Suppes and Jeffrey. Whether accounts of the third kind differ in substance or in name only from the sort of account that I am proposing is a nice question, to which. I will devote some brief closing remarks.

Type
Part XIII. Conditionals
Copyright
Copyright © 1981 Philosophy of Science Association

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Footnotes

1

I am indebted to Nancy Cartwright, Allan Gibbard, Richard Jeffrey, David Lewis, and Robert Stalnaker for illuminating discussion of the issues discussed in this paper. My views on these and related matters are discussed more fully in my [25].

References

[1] Ayer, A.J.What is a Law of Nature?Revue International de Philosophie 10(1956): 144165.Google Scholar
[2] Broad, C.D. Induction. Probability and Causation. Dordrecht: Reidel, 1968.CrossRefGoogle Scholar
[3] Carnap, R. Logical Foundations of Probability. 2nd ed. Chicago: University of Chicago Press, 1962.Google Scholar
[4] Coffa, J.A.Randomness and Knowledge.” In PSA 1972. (Boston Studies in the Philosophy of Science, Volume 20.) Edited by Schaffner, K. and Cohen, R.S. Dordrecht: Reidel, 1974. Pages 103115.Google Scholar
[5] De Finetti, B.La Prévision: Ses lois logiques, ses sourses subjectives.Annales de L’Institut Henri Poincaré 7(1937): 168. (Reprinted as “Foresight: Its Logical Laws, Its Subjective Sources.” In Studies in Subjective Probability. Edited by H. Kyburg and H. Smokler. New York: Wiley, 1964. Pages 93–158.)Google Scholar
[6] Gärdenfors, P.Qualitative Probability as an Intensional Logic.Journal of Philosophical Logic 4(1975): 171185.CrossRefGoogle Scholar
[7] Giere, R.N.Objective Single-Case Probabilities and the Foundations of Statistics.” In Logic, Methodology and Philosophy of Science, Volume IV. (Proceedings of the 1972 International Congress for Logic. Methodology and Philosophy of Science.) Edited by Suppes, P. et al. Amsterdam: North Holland, 1973. Pages 468483.Google Scholar
[8] Good, I.J. Probability and the Weighing of Evidence. New York: Hafner, 1950.Google Scholar
[9] Good, I.J. The Estimation of Probabilities. Cambridge, Mass: M.I.T., 1965.Google Scholar
[10] Hacking, I. Logic of Statistical Inference. Cambridge: Cambridge Universty Press, 1965.Google Scholar
[11] Hempel, C. Aspects of Scientific Explanation. New York: Free Press, 1965.Google Scholar
[12] Jaynes, E.T. Probability Theory in Science and Engineering. Colloquium Lectures in Pure and Applied Science, No. 4, Feb. 1958. Dallas, Texas: Socony Mobil Oil Corporation, 1959. Lecture 5.Google Scholar
[13] Jeffrey, R.C. The Logic of Decision. New York: Macmillan, 1965.Google Scholar
[14] Keynes, J.M. A Treatise on Probability. London: Macmillan, 1921.Google Scholar
[15] Kyburg, H.Propensities and Probabilities.British Journal for Philosophy of Soienoe 25(1974): 358375.CrossRefGoogle Scholar
[16] Lewis, D.A Subjectivist’s Guide to Objective Chance.” In Studies in Inductive Logic and Probability, Volume 2. Edited by Jeffrey, R.C. Berkeley: University of California Press, 1980. Pages 263294.CrossRefGoogle Scholar
[17] Mellor, D.H. The Matter of Chance. Cambridge: Cambridge University Press, 1971.Google Scholar
[18] Planck, M. A Survey of Physical Theory, (trans.) Jones, R. and Williams, D.H. New York: Dover, 1960. (Originally published as Physikalische Rundblicke: Gesammelte Reden und Auf-Sätze. Leipzig: S. Hirzel, 1922.)Google Scholar
[19] Popper, K.The Propensity Interpretation of the Calculus of Probability and the Quantum Theory.” In Observation and Interpretation in the Philosophy of Physics. Edited by Körner, S. London: Butterworth, 1957. Pages 6570.Google Scholar
[20] Popper, K.The Propensity Interpretation of Probability.British Journal for the Philosophy of Science 10(1959): 2542.CrossRefGoogle Scholar
[21] Railton, P.A Deductive-Nomological Model of Probabilistic Explanation.Philosophy of Soienoe 45(1978): 206226.Google Scholar
[22] Reichenbach, H. The Theory of Probability. Berkeley: University of California Press, 1949. (Originally published as Wahrscheinlichkeitslehre. Leiden: Sijthoff, 1935.)Google Scholar
[23] Salmon, W. Statistical Explanation and Statistical Relevance. Pittsburgh: University of Pittsburgh Press, 1971.CrossRefGoogle Scholar
[24] Savage, L. The Foundations of Statistics. New York: Wiley, 1954.Google Scholar
[25] Skyrms, B. Causal Necessity: A Pragmatic Investigation of the Necessity of Laws. New Haven: Yale University Press, 1980.Google Scholar
[26] Strong, J.V.John Stuart Mill, John Hershel and the ‘Probability of Causes’.” In PSA 1978, Volume 1. Edited by Asquith, P.D. and Hacking, I. East Lansing, Michigan: Philosophy of Science Association, 1978. Pages 3144.Google Scholar
[27] Suppes, P. A Probabilistic Theory of Causality. Amsterdam: North Holland, 1970.Google Scholar
[28] van Fraassen, B.Relative Frequencies.Synthese 34(1977): 133166.CrossRefGoogle Scholar
[29] von Mises, R. Probability, Statistics and Truth. London: Allan and Unwin, 1957.Google Scholar