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An Argument for Comparative Probability

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Part of the The University of Western Ontario Series in Philosophy of Science book series (WONS,volume 11)

Abstract

We undertake to argue in favor of generalizing the formal concept of probability by replacing the usual quantitative formulation by the hitherto largely ignored comparative formulation. The theory of comparative probability (CP) is a theory of statements of the forms ‘event A is more probable than event B’, ‘events A, B are equally probable’, ‘event A is at least as probable as event B’, having the respective symbolic representations, ‘A > B’, ‘A ~ B’, ‘AB’. Comparative probability seems to have first been studied by Bernstein (1917), Keynes (1921), de Finetti (1931), and Koopman (1940). The modern era of CP studies perhaps dates from the work of Carnap (1950), Savage (1954), and Kraft et al. (1959). Relatively recent contributors include Scott (1964), Luce (1967, 1968), Fishburn (1970, 1975), Domotor (1969), Fine (1971a, b, 1973), Fine and Gill (1976), Fine and Kaplan (1976), Kaplan (1971, 1974), and Narins (1974).

Keywords

  • Quantitative Probability
  • Random Experiment
  • Frequentist Interpretation
  • Compound Lottery
  • Respective Symbolic Representation

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Fine, T.L. (1977). An Argument for Comparative Probability. In: Butts, R.E., Hintikka, J. (eds) Basic Problems in Methodology and Linguistics. The University of Western Ontario Series in Philosophy of Science, vol 11. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0837-1_8

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  • DOI: https://doi.org/10.1007/978-94-017-0837-1_8

  • Publisher Name: Springer, Dordrecht

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