6. Conversion of Propositions 46 7. Twofold Interpretation of Propositions 47 CHAPTER IV. DEDUCTIVE REASONING. 1. Deductive Reasoning 49 2. Immediate Inference 50 3. Inference with Two Simple Identities 51 4. Inference with a Simple and a Partial Identity 53 5. Inference of a Partial from Two Partial Identities 55 6. On the Ellipsis of Terms in Partial Identities 57 7. Inference of a Simple from Two Partial Identities 58 8. Inference of a Limited from Two Partial Identities 59 9. Miscellaneous Forms of Deductive Inference 60 10. Fallacies 62 CHAPTER V. DISJUNCTIVE PROPOSITIONS. 1. Disjunctive Propositions 66 2. Expression of the Alternative Relation 67 3. Nature of the Alternative Relation 68 4. Laws of the Disjunctive Relation 71 5. Symbolic Expression of the Law of Duality 73 6. Various Forms of the Disjunctive Proposition 74 7. Inference by Disjunctive Propositions 76 CHAPTER VI. THE INDIRECT METHOD OF INFERENCE. 1. The Indirect Method of Inference 81 2. Simple Illustrations 83 3. Employment of the Contrapositive Proposition 84 4. Contrapositive of a Simple Identity 86 5. Miscellaneous Examples of the Method 88 6. Mr. Venn’s Problem 90 7. Abbreviation of the Process 91 8. The Logical Alphabet 94 9. The Logical Slate 95 10. Abstraction of Indifferent Circumstances 97 11. Illustrations of the Indirect Method 98 12. Second Example 99 13. Third Example 100 14. Fourth Example 101 15. Fifth Example 101 16. Fallacies Analysed by the Indirect Method 102 17. The Logical Abacus 104 18. The Logical Machine 107 19. The Order of Premises 114 20. The Equivalence of Propositions 115 21. The Nature of Inference 118 CHAPTER VII. INDUCTION. 1. Induction 121