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Popper's Contribution to the Philosophy of Probability

Published online by Cambridge University Press:  08 January 2010

Extract

Popper's writings cover a remarkably wide range of subjects. The spectrum runs from Plato's theory of politics to the foundations of quantum mechanics. Yet even amidst this variety the philosophy of probability occupies a prominent place. David Miller once pointed out to me that more than half of Popper's The Logic of Scientific Discovery is taken up with discussions of probability. I checked this claim using the 1972 6th revised impression of The Logic of Scientific Discovery, and found that of the approximately 450 pages of text, approximately 250 are to do with probability. Thus Miller's claim is amply justified. It seems indeed that the philosophy of probability was one of Popper's favourite subjects, and, as we shall see, Popper certainly enriched the field with several striking innovations. In this area, as in others, Popper held very definite views, and criticized his opponents in no uncertain terms. Popper was an objectivist and anti-Bayesian, and his criticisms were directed against subjectivism and Bayesianism.

Type
Papers
Copyright
Copyright © The Royal Institute of Philosophy and the contributors 1995

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References

1 Lakatos, I., ‘Changes in the Problem of Inductive Logic, in Lakatos, I. (ed.), The Problem of Inductive Logic (North Holland, 1968), pp. 315417.CrossRefGoogle Scholar

2 Clark, P., ‘Determinism and Probability in Physics’, The Aristotelian Society, Supplementary Volume, LXI (1987), pp. 185210.CrossRefGoogle Scholar

3 Open Court, 1989.Google Scholar

4 See von Mises, R., Probability, Statistics and Truth (1928; second revised English edition, Allen and Unwin, 1951).Google Scholar

5 Ibid., p. 11.

6 See Ayer, A. J., ‘Two Notes on Probability’, in The Concept of a Person and Other Essays (Macmillan, 1963), pp. 188208.CrossRefGoogle Scholar

7 Howson, C. and Urbach, P., Scientific Reasoning. The Bayesian Approach (Open Court, 1989), p. 228.Google Scholar

8 A justification of this statement with extensive quotations from both Mach and von Mises is to be found in my An Objective Theory of Probability (Methuen, 1973), pp. 1–7 and 37–47.Google Scholar

9 Howson, and Urbach, , Scientific Reasoning, p. 11.Google Scholar

10 Ibid., p. 136.

11 See my Bayesianism versus Falsificationism’, Ratio, 3 (1990), pp. 8298, at pp. 9098.CrossRefGoogle Scholar

12 See my A Falsifying Rule for Probability Statements’, British Journal for the Philosophy of Science, 22 (1971), pp. 122Google Scholar, and An Objective Theory of Probability (Methuen, 1973), pp. 161226.Google Scholar

13 Poincare, H., Science and Hypothesis (1902, English translation, Dover, 1952), pp. 183184.Google Scholar

14 See Keynes, J. M., A Treatise on Probability (Macmillan, 1921);Google ScholarJeffreys, H., Theory of Probability (Oxford University Press, 1939);Google ScholarCarnap, R., Logical Foundations of Probability (University of Chicago Press, 1950).Google Scholar

15 British Journal for the Philosophy of Science, 24 (1973), pp. 153163.CrossRefGoogle Scholar

16 Ramsey, F. P., Truth and Probability (1926), in Kyburg, H. E. and Smokier, H.E. (eds), Studies in Subjective Probability (John Wiley), pp. 6392 at pp. 6566.Google Scholar

17 18.

18 Pp. 41–64.Google Scholar

19 Ramsey, , Truth and Probability, p. 85.Google Scholar

20 Ramsey, , Truth and Probability; B de Finetti, ‘Foresight: Its Logical Laws, Its Subjective Sources’, in Kyburg, and Smokier, , pp. 95158.Google Scholar

21 Carnap, , Logical Foundations of Probability, pp. 165167: Mary Hesse The Structure of Scientific Inference (Maxmillan, 1974).Google Scholar

22 See Gillies, D. A., ‘Intersubjective Probability and Confirmation Theory’, British Journal for the Philosophy of Science, 42 (1991), pp. 513533.CrossRefGoogle Scholar

23 See Cohen, L. J., The Implications of Induction (Methuen, 1970), pp. 129130.Google Scholar