CONTENTS. 



CHAPTEE III. 



PROPOSITIONS. 



SECTION PAGE 



1. Propositions . . . . . . .43 



2. Simple Identities . . . . . .44 



3. Partial Identities . . . . . .47 



4. Limited Identities . . . . . .51 



5. Negative Propositions . . . . .52 



6. Conversion of Propositions . . . . .55 



7. Twofold Interpretation of Propositions . . .57 



CHAPTER IV. 



DEDUCTIVE REASONING. 



1. Deductive Reasoning . . . . .59 



2. Immediate Inference . . . . . .60 



3. Inference with Two Simple Identities . . .61 



4. Inference with a Simple and a Partial Identity . .64 



5. Inference of a Partial from Two Partial Identities . . 66 



6. On the Ellipsis of Terms in Partial Identities . .69 



7. Inference of a Simple from Two Partial Identities . . 70 



8. Inference of a Limited from Two Partial Identities . .71 



9. Miscellaneous Forms of Deductive Inference . . .72 

 10. Fallacies . . . . . . .74 



CHAPTER V. 



DISJUNCTIVE PROPOSITIONS. 



1. Disjunctive Propositions ... .79 



2. Expression of the Alternative Relation . . .81 



3. Nature of the Alternative Relation . . . .81 



4. Laws of the Disjunctive Relation . . . .85 



5. Symbolic Expression of the Law of Duality . . .87 



6. Various Forms of the Disjunctive Proposition . .89 



7. Inference by Disjunctive Propositions . . .90 



CHAPTER VI. 



THE INDIRECT METHOD OF INFERENCE. 



1. The Indirect Method of Inference . . . .95 



2. Simple Illustrations . . . . . .97 



3. Employment of the Contrapositive Proposition . . 99 



4. Contrapositive of a Simple Identity . . . .101 

 fi. Miscellaneous Examples of the Method . . .103 



6. Abbreviation of the Process . . . . .105 



7. The Logical Abecedarium . . . . .109 



8. The Logical Slate . . . . . .110 



9. Abstraction of Indifferent Circumstances 112 



