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The natural-range conception of probability

In Gerhard Ernst & Andreas Hüttemann (eds.), Time, chance and reduction: philosophical aspects of statistical mechanics. New York: Cambridge University Press. pp. 71--90 (2010)

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  1. Fifteen Arguments Against Hypothetical Frequentism.Alan Hájek - 2009 - Erkenntnis 70 (2):211-235.
    This is the sequel to my “Fifteen Arguments Against Finite Frequentism” ( Erkenntnis 1997), the second half of a long paper that attacks the two main forms of frequentism about probability. Hypothetical frequentism asserts: The probability of an attribute A in a reference class B is p iff the limit of the relative frequency of A ’s among the B ’s would be p if there were an infinite sequence of B ’s. I offer fifteen arguments against this analysis. I (...)
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  • Twenty-one arguments against propensity analyses of probability.Antony Eagle - 2004 - Erkenntnis 60 (3):371–416.
    I argue that any broadly dispositional analysis of probability will either fail to give an adequate explication of probability, or else will fail to provide an explication that can be gainfully employed elsewhere (for instance, in empirical science or in the regulation of credence). The diversity and number of arguments suggests that there is little prospect of any successful analysis along these lines.
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  • “Mises redux” — Redux: Fifteen arguments against finite frequentism.Alan Hájek - 1996 - Erkenntnis 45 (2-3):209--27.
    According to finite frequentism, the probability of an attribute A in a finite reference class B is the relative frequency of actual occurrences of A within B. I present fifteen arguments against this position.
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  • Origins of the logical theory of probability: Von Kries, Wittgenstein, Waismann.Michael Heidelberger - 2001 - International Studies in the Philosophy of Science 15 (2):177 – 188.
    The physiologist and neo-Kantian philosopher Johannes von Kries (1853-1928) wrote one of the most philosophically important works on the foundation of probability after P.S. Laplace and before the First World War, his Principien der Wohrscheinlich-keitsrechnung (1886, repr. 1927). In this book, von Kries developed a highly original interpretation of probability, which maintains it to be both logical and objectively physical. After presenting his approach I shall pursue the influence it had on Ludwig Wittgenstein and Friedrich Waismann. It seems that von (...)
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