Choice and Chance
by Skyrms, BrianBuy New
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Summary
Table of Contents
| Preface | p. vii |
| Basics of Logic | p. 1 |
| Introduction | p. 1 |
| The Structure of Simple Statements | p. 1 |
| The Structure of Complex Statements | p. 2 |
| Simple and Complex Properties | p. 8 |
| Validity | p. 9 |
| Probability and Inductive Logic | p. 12 |
| Introduction | p. 12 |
| Arguments | p. 12 |
| Logic | p. 14 |
| Inductive versus Deductive Logic | p. 17 |
| Epistemic Probability | p. 23 |
| Probability and the Problems of Inductive Logic | p. 26 |
| The Traditional Problem of Induction | p. 30 |
| Introduction | p. 30 |
| Hume's Argument | p. 30 |
| The Inductive Justification of Induction | p. 35 |
| The Prgmatic Justification of Induction | p. 44 |
| Summary | p. 49 |
| The Goodman Paradox and the New Riddle of Induction | p. 51 |
| Introduction | p. 51 |
| Regularities and Projection | p. 52 |
| The Goodman Paradox | p. 56 |
| The Goodman Paradox, Regularity, and the Principle of the Uniformity of Nature | p. 60 |
| Summary | p. 67 |
| Mill's Methods of Experimental Inquiry and the Nature of Causality | p. 69 |
| Introduction | p. 69 |
| Causality and Necessary and Sufficient Conditions | p. 69 |
| Mill's Methods | p. 73 |
| The Direct Method of Agreement | p. 74 |
| The Inverse Method of Agreement | p. 79 |
| The Method of Difference | p. 85 |
| The Combined Methods | p. 90 |
| The Application of Mill's Methods | p. 94 |
| Sufficient Conditions and Functional Relationships | p. 97 |
| Lawlike and Accidental Conditions | p. 101 |
| The Probability Calculus | p. 109 |
| Introduction | p. 109 |
| Probability, Arguments, Statements, and Properties | p. 109 |
| Disjunction and Negation Rules | p. 111 |
| Conjunction Rules and Conditional Probability | p. 117 |
| Expected Value of a Gamble | p. 128 |
| Bayes' Theorem | p. 130 |
| Probability and Causality | p. 134 |
| Kinds of Probability | p. 137 |
| Introduction | p. 137 |
| Rational Degree of Belief | p. 137 |
| Utility | p. 138 |
| Ramsey | p. 141 |
| Relative Frequency | p. 144 |
| Chance | p. 146 |
| Probability and Scientific Inductive Logic | p. 151 |
| Introduction | p. 151 |
| Hypothesis and Deduction | p. 151 |
| Quantity and Variety of Evidence | p. 153 |
| Total Evidence | p. 154 |
| Convergence to the Truth | p. 156 |
| Answers to Selected Exercises | p. 158 |
| Index | p. 171 |
| Table of Contents provided by Syndetics. All Rights Reserved. |
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