A Treatise on Probability

<p>Part I Fundamental ideas</p><p><br></p><p>CHAPTER I The Meaning of Probability</p><p>CHAPTER II Probability in Relation to the Theory of Knowledge </p><p>CHAPTER III The Measurement of Probabilities </p><p>CHAPTER IV The Principle of Indifference</p><p>CHAPTER V Other Methods of Determining Probabilities </p><p>CHAPTER VI The Weight of Arguments</p><p>CHAPTER VII Historical Retrospect </p><p>CHAPTER VIII The Frequency Theory of Probability </p><p>CHAPTER IX The Constructive Theory of Part I. Summarized</p><p><br></p><p>PART II Fundamental Theorems</p><p><br></p><p>CHAPTER X Introductory </p><p>CHAPTER XI The Theory of Groups with special reference to Logical Consistence Inference and Logical Priority.</p><p>CHAPTER XII The Definitions and Axioms of Inference and Probability</p><p>CHAPTER XIII The Fundamental Theorems of Necessary Inference</p><p>CHAPTER XIV The Fundamental Theorems of Probable Inference </p><p>CHAPTER XV Numerical Measurement and Approximation of Probabilities</p><p>CHAPTER XVI Observations on the Theorems of Chapter XIV. and their Developments including Testimony </p><p>CHAPTER XVII Some Problems in Inverse Probability including Averages </p><p><br></p><p>PART III</p><p><br></p><p>Induction and Analogy</p><p><br></p><p>CHAPTER XVIII Introduction </p><p>CHAPTER XIX The Nature of Argument by Analogy </p><p>CHAPTER XX The Value of Multiplication of Instances or Pure Induction</p><p>CHAPTER XXI The Nature of Inductive Argument Continued</p><p>CHAPTER XXII The Justification of these Methods</p><p>CHAPTER XXIII Some Historical Notes on Induction </p><p><br></p><p>PART IV</p><p><br></p><p>Some Philosophical Applications of Probability</p><p><br></p><p>CHAPTER XXIV The Meanings of Objective Chance and of Randomness</p><p>CHAPTER XXV Some Problems arising out of the Discussion of Chance </p><p>CHAPTER XXVI The Application of Probability to Conduct</p><p><br></p><p>PART V</p><p><br></p><p>The Foundations of Statistical Inference</p><p><br></p><p>CHAPTER XXVII The Nature of Statistical Inference</p><p>CHAPTER XXVIII The Law of Great Numbers </p><p>CHAPTER XXIX The Use of à priori Probabilities for the Prediction of Statistical Frequency-the Theorems of Bernoulli Poisson and Tchebycheff</p><p>CHAPTER XXX The Mathematical use of Statistical Frequencies for the Determination of Probability à posteriori-the Methods of Laplace</p><p>CHAPTER XXXI The Inversion of Bernoulli's Theorem</p><p>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</p>