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Mechanistic probability

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Abstract

I describe a realist, ontologically objective interpretation of probability, “far-flung frequency (FFF) mechanistic probability”. FFF mechanistic probability is defined in terms of facts about the causal structure of devices and certain sets of frequencies in the actual world. Though defined partly in terms of frequencies, FFF mechanistic probability avoids many drawbacks of well-known frequency theories and helps causally explain stable frequencies, which will usually be close to the values of mechanistic probabilities. I also argue that it’s a virtue rather than a failing of FFF mechanistic probability that it does not define single-case chances, and compare some aspects of my interpretation to a recent interpretation proposed by Strevens.

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References

  • Abrams, M. (2000). Short-run mechanistic probability. In Presented at the philosophy of science association, seventeenth biennial meeting, Vancouver, BC, Canada, November 2–5, 2000.

  • Abrams M. (2007) Fitness and propensity’s annulment? Biology & Philosophy 22: 115–130

    Article  Google Scholar 

  • Abrams M. (2009a) Fitness “Kinematics”: Altruism, biological function, and organism-environment histories. Biology & Philosophy 24(4): 487–504

    Article  Google Scholar 

  • Abrams M. (2009) What determines fitness? {T}he problem of the reference environment. Synthese 166(1): 21–40

    Article  Google Scholar 

  • Caswell H. (2001) Matrix population models. Sinauer, Sunderland, MA

    Google Scholar 

  • Diaconis P. (1998) A place for philosophy? The rise of modeling in statistical science. Quarterly of Applied Mathematics 56: 797–805

    Google Scholar 

  • Eagle A. (2004) Twenty-one arguments against propensity analyses of probability. Erkenntnis 60: 371–416

    Article  Google Scholar 

  • Earman J. (1992) Bayes or bust. MIT Press, Cambridge, MA

    Google Scholar 

  • Engel E. M. R. A. (1992) A road to randomness in physical systems. Springer-Verlag, New York

    Book  Google Scholar 

  • Fetzer, J. H. (1981). Scientific knowledge: Causation, explanation, and corroboration. Boston Studies in the Philosophy of Science. Dordrecht: D. Reidel.

  • Friedman, A. (1982). Foundations of modern analysis (republication of the original 1970 edition). New York: Dover Publications.

  • Gilboa I., Lieberman O., Schmeidler D. (2010) On the definition of objective probabilities by empirical similarity. Synthese 172: 79–95

    Article  Google Scholar 

  • Gillies D. A. (2000) Philosophical theories of probability. Routledge, London

    Google Scholar 

  • Glynn L. (2010) Deterministic chance. British Journal for the Philosophy of Science, 61(1): 51–80

    Article  Google Scholar 

  • Hájek A. (1996) Mises redux—redux: Fifteen arguments against finite frequentism. Erkenntnis 45: 209–227

    Google Scholar 

  • Hájek, A. (2002). Fifteen arguments against hypothetical frequentism. MS.

  • Hájek, A. (2009). Interpretations of probability. In E. N. Zalta (Ed.), The stanford encyclopedia of philosophy (Spring 2009 ed.). http://plato.stanford.edu/archives/spr2009/entries/probability-interpret/.

  • Hoefer C. (2007) The third way on objective probability: A sceptic’s guide to objective chance. Mind 116(463): 449–596

    Article  Google Scholar 

  • Hopf E. (1934) On causality, statistics and probability. Journal of Mathematics and Physics 13: 51–102

    Google Scholar 

  • Howson C., Urbach P. (1993) Scientific reasoning: The Bayesian approach (2nd ed). Open Court, Chicago

    Google Scholar 

  • Keller J. B. (1986) The probability of heads. The American Mathematical Monthly 93: 191–197

    Article  Google Scholar 

  • Kim J. (1998) Mind in a physical world. MIT Press, Cambridge, MA

    Google Scholar 

  • Lewis D. (1973) Counterfactuals. Harvard University Press, Cambridge

    Google Scholar 

  • Lewis, D. (1979). Counterfactual dependence and time’s arrow. Noûs, 13, 455–476. (Reprinted from Philosophical papers, by D. Lewis, 1986a, Oxford: Oxford University Press.)

  • Lewis, D. (1980). A subjectivist’s guide to objective chance. In R. C. Jeffrey (Ed.), Studies in inductive logic and probability (Vol. II). Berkeley: University of California Press. (Reprinted from Philosophical papers, by D. Lewis, 1986a, Oxford: Oxford University Press.)

  • Lewis D. (1986a) Philosophical papers (Vol. II). Oxford University Press, Oxford

    Google Scholar 

  • Lewis, D. (1986b). Postscripts to “A subjectivist’s guide to objective chance”. In D. Lewis Philosophical papers (Vol. II). Oxford: Oxford University Press, 1986a.

  • Lewis D. (1994) Humean supervenience debugged. Mind 103: 473–490

    Article  Google Scholar 

  • Loewer B. (2001) Determinism and chance. Studies in the History and Philosophy of Modern Physics 32B(4): 609–620

    Article  Google Scholar 

  • Loewer B. (2004) David Lewis’s Humean theory of objective chance. Philosophy of Science 71(5): 1115–1125

    Article  Google Scholar 

  • Mellor D. H. (1971) The matter of chance. Cambridge University Press, Cambridge

    Google Scholar 

  • Miller D.W. (1994) Critical rationalism: A restatement and defence. Open Court, Chicago

    Google Scholar 

  • Poincaré, H. (1912). Calcul des Probabilités (2nd ed.) Paris: Gauthier-Villars (1st ed. 1896).

  • Poincaré, H. (1952) [1903]. Science and hypothesis, Chap. XI, “The calculus of probabilities”. In Poincaré The value of science. New York: The Modern Library, 2001.

  • Poincaré, H. (1952) [1908]. Science and method. In Poincaré The value of science. New York: The Modern Library, 2001. Part I, Chap 4, “Chance”.

  • Poincaré H. (2001) The value of science. The Modern Library, New York

    Google Scholar 

  • Rosenthal J. (2010) The natural-range conception of probability. In: Ernst G., Hüttemann A. (eds) Time, chance, and reduction: Philosophical aspects of statistical mechanics. Cambridge University Press, Cambridge, pp 71–90

    Chapter  Google Scholar 

  • Ruhla C. (1989) La Physique du Hasard: de Blaise Pascal à Niels Bohr. Hachette, Paris

    Google Scholar 

  • Schaffer J. (2007) Deterministic chance?. British Journal for the Philosophy of Science 58(2): 113–140

    Article  Google Scholar 

  • Sklar L. (1970) Is probability a dispositional property? Journal of Philosophy 67(11): 355–366

    Article  Google Scholar 

  • Sklar L. (1993) Physics and chance. Cambridge University Press, Cambridge

    Book  Google Scholar 

  • Sober E. (2005) Evolutionary theory and the reality of macro probabilities. In: Eells E., Fetzer J. (eds) Probability in science. Open Court, Chicago

    Google Scholar 

  • Strevens M. (1998) Inferring probabilities from symmetries. Noûs 32: 231–246

    Article  Google Scholar 

  • Strevens M. (2003) Bigger than chaos: Understanding complexity through probability. Harvard University Press, Cambridge, MA

    Google Scholar 

  • Strevens M. (2005) How are the sciences of complex systems possible?. Philosophy of Science 72(4): 531–556

    Article  Google Scholar 

  • Strevens M. (2010) Probability out of determinism. In: Beisbart C., Hartmann S. (eds) Probabilities in physics. Oxford University Press, Oxford

    Google Scholar 

  • von Plato J. (1994) Creating modern probability. Cambridge University Press, New York

    Book  Google Scholar 

  • Walley P. (1991) Statistical reasoning with imprecise probabilities. Chapman and Hall, London

    Google Scholar 

  • Williamson J. (2010) In defence of objective Bayesianism. Oxford University Press, Oxford

    Book  Google Scholar 

  • Wimsatt W. C. (2007) Re-engineering philosophy for limited beings: Piecewise approximations to reality. Harvard University Press, Cambridge

    Google Scholar 

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  1. University of Alabama at Birmingham, Birmingham, AL, 35233, USA

    Marshall Abrams

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  1. Marshall Abrams
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Correspondence to Marshall Abrams.

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Abrams, M. Mechanistic probability. Synthese 187, 343–375 (2012). https://doi.org/10.1007/s11229-010-9830-3

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