A Treatise on Probability

Part I Fundamental ideasCHAPTER I The Meaning of ProbabilityCHAPTER II Probability in Relation to the Theory of Knowledge CHAPTER III The Measurement of Probabilities CHAPTER IV The Principle of IndifferenceCHAPTER V Other Methods of Determining Probabilities CHAPTER VI The Weight of ArgumentsCHAPTER VII Historical Retrospect CHAPTER VIII The Frequency Theory of Probability CHAPTER IX The Constructive Theory of Part I. SummarizedPART II Fundamental TheoremsCHAPTER 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 ProbabilityCHAPTER XIII The Fundamental Theorems of Necessary InferenceCHAPTER XIV The Fundamental Theorems of Probable Inference CHAPTER XV Numerical Measurement and Approximation of ProbabilitiesCHAPTER XVI Observations on the Theorems of Chapter XIV. and their Developments, including Testimony CHAPTER XVII Some Problems in Inverse Probability, including Averages PART IIIInduction and AnalogyCHAPTER XVIII Introduction CHAPTER XIX The Nature of Argument by Analogy CHAPTER XX The Value of Multiplication of Instances, or Pure InductionCHAPTER XXI The Nature of Inductive Argument ContinuedCHAPTER XXII The Justification of these MethodsCHAPTER XXIII Some Historical Notes on Induction PART IVSome Philosophical Applications of ProbabilityCHAPTER XXIV The Meanings of Objective Chance, and of RandomnessCHAPTER XXV Some Problems arising out of the Discussion of Chance CHAPTER XXVI The Application of Probability to ConductPART VThe Foundations of Statistical InferenceCHAPTER XXVII The Nature of Statistical InferenceCHAPTER 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 TchebycheffCHAPTER XXX The Mathematical use of Statistical Frequencies for the Determination of Probability à posteriori-the Methods of LaplaceCHAPTER XXXI The Inversion of Bernoulli’s TheoremCHAPTER 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