An Objective Theory of Probability (Routledge Revivals): 1st Edition (Hardback) book cover

An Objective Theory of Probability (Routledge Revivals)

1st Edition

By Donald Gillies

Routledge

250 pages

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Description

This reissue of D. A. Gillies highly influential work, first published in 1973, is a philosophical theory of probability which seeks to develop von Mises’ views on the subject. In agreement with von Mises, the author regards probability theory as a mathematical science like mechanics or electrodynamics, and probability as an objective, measurable concept like force, mass or charge. On the other hand, Dr Gillies rejects von Mises’ definition of probability in terms of limiting frequency and claims that probability should be taken as a primitive or undefined term in accordance with modern axiomatic approaches.

This of course raises the problem of how the abstract calculus of probability should be connected with the ‘actual world of experiments’. It is suggested that this link should be established, not by a definition of probability, but by an application of Popper’s concept of falsifiability. In addition to formulating his own interesting theory, Dr Gillies gives a detailed criticism of the generally accepted Neyman Pearson theory of testing, as well as of alternative philosophical approaches to probability theory. The reissue will be of interest both to philosophers with no previous knowledge of probability theory and to mathematicians interested in the foundations of probability theory and statistics.

Table of Contents

Part One: The Special Sciences in General 1. Von Mises’ Philosophy of Science: Its Machian Origins 2. Force and Mass 3. Conceptual Innovation in the Exact Sciences Part Two: The Axiomatic Superstructure 4. Probability and Frequency 5. Repeatability and Independence 6. Deduction of the Law of Excluded Gambling Systems: The Role of Randomness in Probability Theory 7. Probabilities of Single Events: Popper’s Propensity Theory Part Three: A Falsifying Rule for Probability Statements 8. The Falsification Problem for Probability Statements 9. Formulation of a Falsifying Rule 10. Evaluation of the Falsifying Rule 11. The Neyman-Pearson Theory

About the Series

Routledge Revivals

Are there elusive titles that you need and have been trying to source for years but thought that you would never be able to find?

Well this may be the end of your quest – here is a fantastic opportunity for you to discover past brilliance and purchase previously out of print and unavailable titles by some of the world’s most eminent academic scholars.

Drawing from over 100 years of innovative, cutting-edge publishing, Routledge Revivals is an exciting programme whereby key titles from the distinguished and extensive backlist of the many acclaimed imprints associated with Routledge will be re-issued.

The programme draws upon the illustrious backlists of Kegan Paul, Trench & Trubner, Routledge & Kegan Paul, Methuen, Allen & Unwin and Routledge itself.

Routledge Revivals spans the whole of the Humanities and Social Sciences, and includes works by some of the world’s greatest thinkers including Emile Durkheim, Max Weber, Simone Weil, Martin Buber, Karl Jaspers and Max Beloff.

If you are interested in Revivals in the Behavioral Sciences, please visit https://www.routledge.com/series/PSYREVIVALS

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Subject Categories

BISAC Subject Codes/Headings:
MAT015000
MATHEMATICS / History & Philosophy
MAT029000
MATHEMATICS / Probability & Statistics / General
PHI000000
PHILOSOPHY / General
PHI011000
PHILOSOPHY / Logic