The Twentieth Century has seen a dramatic rise in the use of probability and statistics in almost all fields of research. This has stimulated many new philosophical ideas on probability. Philosophical Theories of Probability is the first book to present a clear, comprehensive and systematic account of these various theories and to explain how they relate to one another. Gillies also offers a distinctive version of the propensity theory of probability, and the intersubjective interpretation, which develops the subjective theory.
1. Introductory Survey of the Interpretations. Some Historical Background. 2. The Classical Theory 3. The Logical Theory 4. The Subjective Theory 5. The Frequency Theory 6. The Propensity Theory: (i) General Survey 7. The Propensity Theory: (ii) Development of a Particular Version 8. Intersubjective Probability and Pluralist Views of Probability 9. An Example of Pluralism. Differences between the Natural and Social Sciences
This book presents a comprehensive and systematic account of the various philosophical theories of probability and explains how they are related. It covers the classical, logical, subjective, frequency, and propensity views of probability. Donald Gillies even provides a new theory of probability -the intersubjective-a development of the subjective theory. He argues for a pluralist view, where there can be more than one valid interpretation of probabiltiy, each appropriate in a different context. The relation of the various interpretations to the Bayesian controversy, which has become central in both statistics and philosophy of science, is explained as well.
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