A Treatise on Induction and Probability, Volume 7Psychology Press, 2000 - 310 pages First published in 2000. This present book is primarily a treatise on induction. As such its aim is to examine, in the light of standards of logical correctness, various types of argument which can be grouped under the common heading of induction. |
Contents
CHAPTER ONE INDUCTION AND ITS PROBLEMS 1 On the Division of Knowledge Anticipation and Induction | 13 |
On the Division of Science The savoir pour prévoir | 15 |
Induction and Discovery | 16 |
The Justification of Induction | 20 |
The Three Problems of Induction page II | 30 |
CHAPTER TWO PRELIMINARY CONSIDERATIONS ON LOGIC 1 On Propositions | 32 |
On Properties | 37 |
On Relations | 46 |
The Maximum Principle | 181 |
The Principle of Extensionality | 184 |
The Principle of Equivalence | 187 |
The Inverse Principle | 190 |
The Composition Principle | 192 |
Independence | 193 |
13 | 194 |
IndependenceRealms | 199 |
On Numbers | 49 |
On Sequences | 51 |
CHAPTER THREE THE FORM OF INDUCTIVE ARGUMENTS LAWS OF NATURE 1 Induction as Inference | 63 |
The Logic of Conditions | 66 |
Statistical Laws | 77 |
CHAPTER FOUR INDUCTION AND ELIMINATION 1 The Methods of Induction | 84 |
The Method of Elimination General Remarks | 87 |
The Method of Agreement The Simple Case | 93 |
The Method of Difference The Simple Case | 96 |
The Joint Method The Simple Case | 97 |
The Method of Agreement The Complex Case | 102 |
The Method of Difference The Complex Case | 116 |
The Joint Method The Complex Case | 119 |
Elimination and the Practice of Science | 126 |
CHAPTER FIVE INDUCTION AND DEDUCTION 1 The Supplementary Premisses of Induction | 129 |
The Deterministic Postulate | 131 |
The Selection Postulate | 135 |
CHAPTER SIX INDUCTION AND DEFINITION 1 Actual and Ideal Induction | 140 |
Induction and the Formation of Concepts | 141 |
Induction and the Rectification of Laws | 147 |
Remarks on the Historical Development of the Logic of Inductive Truth | 151 |
CHAPTER SEVEN THE LOGIC OF PROBABILITY 1 The Concepts of Probability | 167 |
The Calculus of Probability | 173 |
The Axioms | 176 |
The Process of Inference | 177 |
15 | 204 |
16 | 206 |
PseudoDeductions of the Inverse Principles of Maximum Probability and of Great Numbers | 210 |
The Principle of Succession | 213 |
20 | 214 |
The Interpretation of the Calculus and the Analysis of Probability | 215 |
Frequency Possibility Degree of Belief and Probability | 216 |
CHAPTER EIGHT PROBABILITY AND PREDICTION 1 Induction and Probability | 223 |
The Idea of Chance | 225 |
Random Distribution Equal Possibility Ra tional Degree of Belief and Chance | 228 |
Chance and Determinism | 234 |
CHAPTER NINE PROBABILITY AND LAWS OF NATURE 1 The Concept of Real Inductive Probability | 237 |
Continued | 239 |
The Argument from Confirmation | 245 |
The Argument from Confirmation Continued | 249 |
The Paradox of Confirmation | 254 |
The Argument from Simplicity | 256 |
The Argument from Analogy | 264 |
Inductive Probability and Types of Law | 272 |
page | 275 |
The Probability of Future Events | 286 |
| 305 | |
| 307 | |
| 308 | |
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Common terms and phrases
A-properties absent Absolutely Perfect Analogy argument Axiom Bacon bility called Conditions of H conjectured property conjunction deduction Deterministic Postulate equipossibility evidence H evidence H&G evidence-property fields of measurement follows formula Frequency Interpretation identical inductive conclusions inductive inference Inductive Probability initially possible conditioning instance of H Inverse Principle Inverse Probability k-group Keynes Logic of Induction maximum probability means Method of Agreement Mill's Mill's Method minimum number molecular complex n-level Necessary Condition Necessary-and-Sufficient Conditions negation-properties negative instances nomic normal observed p-values p₁ phosphorus positive instance possible conditioning properties possible Necessary Sufficient presence-function present proba probabilities a priori probability a posteriori problem Problem of Induction proof properties in 40 property H proportion propositions random property real numbers remaining possible conditioning remaining possible Necessary respect sentences sequence of properties Sufficient Condition supplementary premisses symbols theorems thing tion Total Elimination Universal Implication μπι