Table of Contents
Introductory Essay Christopher Hitchcock ix
Introduction 1
I The Problem of Induction 5
II Attempted Solutions 11
1 Inductive Justification 12
2 The Complexity of Scientific Inference 17
3 Deductivism 21
4 Synthetic A Priori Principles 27
5 The Principle of Uniformity of Nature 40
6 The Postulational Approach 43
7 A Probabilistic Approach 48
8 Pragmatic Justification 52
III Significance of the Problem 54
IV The Philosophical Problem of Probability 56
1 The Probability Calculus 58
2 Criteria of Adequacy for Interpretations 63
V Interpretations of Probability 65
1 The Classical Interpretation 65
2 The Subjective Interpretation 68
3 The Logical Interpretation 68
4 The Personalistic Interpretation 79
5 The Frequency Interpretation 83
VI Inferring Relative Frequencies 96
VII The Confirmation of Scientific Hypotheses 108
1 Hanson's Logic of Discovery 111
2 Popper's Method of Corroboration 114
3 Bayesian Inference 115
Conclusion 131
Notes 132
Addendum 142
Index 145