Philosophical Foundations of Probability Theory

Philosophical Foundations of Probability Theory PDF

Author: Roy Weatherford

Publisher: Taylor & Francis

Published: 2022-06-01

Total Pages: 220

ISBN-13: 1000626091

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First published in 1982, Philosophical Foundations of Probability Theory starts with the uses we make of the concept in everyday life and then examines the rival theories that seek to account for these applications. It offers a critical exposition of the major philosophical theories of probability, with special attention given to the metaphysical and epistemological assumptions and implications of each. The Classical Theory suggests probability is simply the ratio of favorable cases to all equi-possible cases: it is this theory that is relied on by gamblers and by most non-specialists. The A Priori Theory, on the other hand, describes probability as a logical relation between statements based on evidence. The Relative Frequency theories locate it not in logic but among empirical rates of occurrence in the real world, while the Subjectivist Theory identifies probability with the degree of a person’s belief in a proposition. Each of these types of theory is examined in turn, and the treatment is unified by the use of running examples and parallel analyses of each theory. The final chapter includes a summary and the author’s conclusions. This book is an essential read for scholars and researchers of Philosophy.

Philosophical Foundations of Probability Theory

Philosophical Foundations of Probability Theory PDF

Author: Roy Weatherford

Publisher: Taylor & Francis

Published: 2022-06-01

Total Pages: 297

ISBN-13: 1000626032

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First published in 1982, Philosophical Foundations of Probability Theory starts with the uses we make of the concept in everyday life and then examines the rival theories that seek to account for these applications. It offers a critical exposition of the major philosophical theories of probability, with special attention given to the metaphysical and epistemological assumptions and implications of each. The Classical Theory suggests probability is simply the ratio of favorable cases to all equi-possible cases: it is this theory that is relied on by gamblers and by most non-specialists. The A Priori Theory, on the other hand, describes probability as a logical relation between statements based on evidence. The Relative Frequency theories locate it not in logic but among empirical rates of occurrence in the real world, while the Subjectivist Theory identifies probability with the degree of a person’s belief in a proposition. Each of these types of theory is examined in turn, and the treatment is unified by the use of running examples and parallel analyses of each theory. The final chapter includes a summary and the author’s conclusions. This book is an essential read for scholars and researchers of Philosophy.

Philosophical Theories of Probability

Philosophical Theories of Probability PDF

Author: Donald Gillies

Publisher: Routledge

Published: 2012-09-10

Total Pages: 239

ISBN-13: 1134672454

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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.

Philosophy of Probability and Statistical Modelling

Philosophy of Probability and Statistical Modelling PDF

Author: Mauricio Suárez

Publisher: Cambridge University Press

Published: 2021-01-21

Total Pages:

ISBN-13: 1108983847

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This Element has two main aims. The first one (sections 1-7) is an historically informed review of the philosophy of probability. It describes recent historiography, lays out the distinction between subjective and objective notions, and concludes by applying the historical lessons to the main interpretations of probability. The second aim (sections 8-13) focuses entirely on objective probability, and advances a number of novel theses regarding its role in scientific practice. A distinction is drawn between traditional attempts to interpret chance, and a novel methodological study of its application. A radical form of pluralism is then introduced, advocating a tripartite distinction between propensities, probabilities and frequencies. Finally, a distinction is drawn between two different applications of chance in statistical modelling which, it is argued, vindicates the overall methodological approach. The ensuing conception of objective probability in practice is the 'complex nexus of chance'.

Philosophy and Probability

Philosophy and Probability PDF

Author: Timothy Childers

Publisher: Oxford University Press

Published: 2013-05-30

Total Pages: 213

ISBN-13: 0199661820

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Probability is increasingly important for our understanding of the world. What is probability? How do we model it, and how do we use it? Timothy Childers presents a lively introduction to the foundations of probability and to philosophical issues it raises. He keeps technicalities to a minimum, and assumes no prior knowledge of the subject. He explains the main interpretations of probability-frequentist, propensity, classical, Bayesian, and objective Bayesian-and uses stimulating examples to bring the subject to life. All students of philosophy will benefit from an understanding of probability, and this is the book to provide it.

Probability in the Philosophy of Religion

Probability in the Philosophy of Religion PDF

Author: Jake Chandler

Publisher: Oxford University Press

Published: 2012-04-26

Total Pages: 262

ISBN-13: 0199604762

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These specially written essays show that philosophy of religion is fertile ground for the application of probabilistic thinking. The authors examine central topics in the field: the status of evidence relating to the question of the existence of God; the rationality of religious belief; and the epistemic significance of religious disagreement.

Creating Modern Probability

Creating Modern Probability PDF

Author: Jan von Plato

Publisher: Cambridge University Press

Published: 1998-01-12

Total Pages: 336

ISBN-13: 9780521597357

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In this book the author charts the history and development of modern probability theory.

Probability Theory

Probability Theory PDF

Author: Vincent F. Hendricks

Publisher: Springer Science & Business Media

Published: 2001-06-30

Total Pages: 222

ISBN-13: 9780792369523

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A collection of papers presented at the conference on Probability Theory - Philosophy, Recent History and Relations to Science, University of Roskilde, Denmark, September 16-18, 1998. Since the measure theoretical definition of probability was proposed by Kolmogorov, probability theory has developed into a mature mathematical theory. It is today a fruitful field of mathematics that has important applications in philosophy, science, engineering, and many other areas. The measure theoretical definition of probability and its axioms, however, are not without their problems; some of them even puzzled Kolmogorov. This book sheds light on some recent discussions of the problems in probability theory and their history, analysing their philosophical and mathematical significance, and the role pf mathematical probability theory in other sciences.