| Editor's Preface | |
| Preface | |
| Editor's Introduction | |
| The Subject Matter of Logic | |
| Logic and the Weight of Evidence | p. 3 |
| Conclusive Evidence or Proof | p. 5 |
| The Nature of Logical Implication | p. 8 |
| Partial Evidence or Probable Inference | p. 13 |
| Is Logic about Words, Thoughts, or Objects? | p. 16 |
| The Use and Application of Logic | p. 21 |
| The Analysis of Propositions | |
| What Is a Proposition? | p. 27 |
| The Traditional Analysis of Propositions | p. 30 |
| Compound, Simple, and General Propositions | p. 44 |
| The Relations Between Propositions | |
| The Possible Logical Relations between Propositions | p. 52 |
| Independent Propositions | p. 56 |
| Equivalent Propositions | p. 57 |
| The Traditional Square of Opposition | p. 65 |
| The Opposition of Propositions in General | p. 68 |
| The Categorical Syllogism | |
| The Definition of Categorical Syllogisms | p. 76 |
| The Enthymeme | p. 78 |
| The Rules or Axioms of Validity | p. 78 |
| The General Theorems of the Syllogism | p. 80 |
| The Figures and Moods of the Syllogism | p. 81 |
| The Special Theorems and Valid Moods of the First Figure | p. 84 |
| The Special Theorems and Valid Moods of the Second Figure | p. 85 |
| The Special Theorems and Valid Moods of the Third Figure | p. 85 |
| The Special Theorems and Valid Moods of the Fourth Figure | p. 86 |
| The Reduction of Syllogisms | p. 87 |
| The Antilogism or Inconsistent Triad | p. 91 |
| The Sorites | p. 94 |
| Hypothetical, Alternative, and Disjunctive Syllogisms | |
| The Hypothetical Syllogism | p. 96 |
| The Alternative Syllogism | p. 100 |
| The Disjunctive Syllogism | p. 101 |
| The Reduction of Mixed Syllogisms | p. 103 |
| Pure Hypothetical and Alternative Syllogisms | p. 103 |
| The Dilemma | p. 105 |
| Generalized or Mathematical Logic | |
| Logic as the Science of Types of Order | p. 110 |
| The Formal Properties of Relations | p. 113 |
| The Logical Properties of Relations in Some Familiar Inferences | p. 115 |
| Symbols: Their Function and Value | p. 117 |
| The Calculus of Classes | p. 121 |
| The Calculus of Propositions | p. 126 |
| The Nature of a Logical or Mathematical System | |
| The Function of Axioms | p. 129 |
| Pure Mathematics - an Illustration | p. 133 |
| Structural Identity or Isomorphism | p. 137 |
| The Equivalence of Axiom Sets | p. 141 |
| The Independence and Consistency of Axioms | p. 143 |
| Mathematical Induction | p. 147 |
| What Generalization Means in Mathematics | p. 148 |
| Probable Inference | |
| The Nature of Probable Inference | p. 151 |
| The Mathematics or Calculus of Probability | p. 158 |
| Interpretations of Probability | p. 164 |
| Some Problems of Logic | |
| The Paradox of Inference | p. 173 |
| Is the Syllogism a Petitio Principii? | p. 177 |
| The Laws of Thought | p. 181 |
| The Basis of Logical Principles in the Nature of Things | p. 185 |
| Appendix - Examples of Demonstration | |
| What Does a Demonstration Establish? | p. 189 |
| Some Fallacious Demonstrations | p. 195 |
| Exercises | p. 200 |
| Bibliography of Works Cited | p. 221 |
| Index of Names | p. 223 |
| Index of Subjects | p. 225 |
| Table of Contents provided by Blackwell. All Rights Reserved. |
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