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Index
Cover
Title Page
Copyright Page
Contents
Preface by the Author
Part I: Fundamental Ideas
Chapter I: The Meaning of Probability
Chapter II: Probability in Relation to the Theory of Knowledge
Chapter III: The Measurement of Probabilities
Chapter IV: The Principle of Indifference
Chapter V: Other Methods of Determining Probabilities
Chapter VI: The Weight of Arguments
Chapter VII: Historical Retrospect
Chapter VIII: The Frequency Theory of Probability
Chapter IX: The Constructive Theory of Part I. Summarised
Part II: Fundamental Theorems
Chapter X: Introductory
Chapter XI: The Theory of Groups, with Special Reference to Logical Consistence, Inference, and Logical Priority
Chapter XII: The Definitions and Axioms of Inference and Probability
Chapter XIII: The Fundamental Theorems of Necessary Inference
Chapter XIV: The Fundamental Theorems of Probable Inference
Chapter XV: Numerical Measurement and Approximation of Probabilities
Chapter XVI: Observations on the Theorems of Chapter XIV., and Their Developments, Including Testimony.
Chapter XVII: Some Problems In Inverse Probability, Including Averages
Part III: Induction and Analogy
Chapter XVIII: Introduction
Chapter XIX: The Nature of Argument by Analogy
Chapter XX: The Value of Multiplication of Instances, or Pure Induction
Chapter XXI: The Nature of Inductive Argument Continued
Chapter XXII: The Justification of These Methods
Chapter XXIII: Some Historical Notes on Induction
Notes on Part III.
Part IV: Some Philosophical Applications of Probability
Chapter XXIV: The Meanings of Objective Chance, and of Randomness
Chapter XXV: Some Problems Arising Out of the Discussion of Chance
Chapter XXVI: The Application of Probability to Conduct
Part V: The Foundations of Statistical Inference
Chapter XXVII: The Nature of Statistical Inference
Chapter XXVIII: The Law of Great Numbers
Chapter XXIX: The Use of à Priori Probabilities for the Prediction of Statistical Frequency—The Theorems of Bernoulli, Poisson, and Tchebycheff
Chapter XXX: The Mathematical use of Statistical Frequencies for the Determination of Probability à Posteriori—The Methods of Laplace
Chapter XXXI: The Inversion of Bernoulli’s Theorem
Chapter XXXII: The Inductive use of Statistical Frequencies for the Determination of Probability à Posteriori—The Methods of Lexis
Chapter XXXIII: Outline of A Constructive Theory
Bibliography
Index
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