<p>In May of 1973 we organized an international research colloquium on foundations of probability, statistics, and statistical theories of science at the University of Western Ontario. During the past four decades there have been striking formal advances in our understanding of logic, semantics and
Philosophical Foundations of Probability Theory
β Scribed by Roy Weatherford
- Publisher
- Routledge
- Year
- 2022
- Tongue
- English
- Leaves
- 297
- Series
- Routledge Revivals
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
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 personβs 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 authorβs conclusions. This book is an essential read for scholars and researchers of Philosophy.
β¦ Table of Contents
Cover
Half Title
Title
Copyright
Original Title
Original Copyright
Dedication
Contents
Preface
I What is Probability?
1 What is a Theory of Probability?
2 Types of Probability Theories
3 Schemes of Classification of Theories
4 Conclusion
II The Classical Theory of Probability
1 The Prehistory of Probability
2 The Definition of Probability
3 Sources of Initial Probability
4 Probability of Single Events
5 Probability of Repetitive Kinds of Events
6 Absolute Probability
7 Physical Chance
8 The Metaphysical Status of P
9 The Epistemological Status of P
10 Rationality of Probability Behaviour
11 Chief Criticisms
12 Chief Virtues
III A Priori Theories of Probability
1 Basic Ideas of A Priori Theories
2 Chief Proponents
3 Definition of Probability
4 The Source of Initial Probabilities
5 Probability of Single Events
6 Probability of Repetitive Kinds of Events
7 Physical Chance and Absolute Probability
8 The Metaphysical Status of P
9 The Epistemological Status of P
10 The Rationality of Probability Behavior
11 Chief Criticisms of A Priori Theories
12 Chief Virtues of A Priori Theories
IV Relative Frequency Theories of Probability
1 Basic Ideas
2 Definition of Probability
3 Source of Initial Probabilities
4 The Probability of a Single Event
5 Probability of Repetitive Kinds of Events
6 Absolute Probability and Physical Chance
7 The Metaphysical Status of P
8 The Epistemological Status of P
9 Rationality of Probability Behavior
10 Chief Criticisms of RF Theories
11 Chief Virtues of Relative Frequency Theories
V The Subjectivistic Theory of Probability
1 Definition of Probability
2 Sources of Initial Probabilities
3 Probability of Single Events
4 Probability of Repetitive Kinds of Events
5 Absolute Probability and Physical Chance
6 The Metaphysical Status of P
7 The Epistemological Status of P
8 The Rationality of Probability Behavior
9 Chief Criticisms of Subjectivistic Theories
10 Chief Virtues of Subjectivistic Theories
VI Conclusion
Notes
Bibliography
Index
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