CONTENTS. xxx\ 



CHAPTER VI. 



THE INDIRECT METHOD OF INFERENCE. 

 SECTION PAGE 



1. The Indirect Method of luference 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 Ali)habet 94 



9. The Logical Slate 95 



10. Abstraction of Indifferent Circumstances 97 



11. Illu.strations of the Indirect Method 98 



12. Second E.xample 99 



13. Third Example 100 



14. Fourth Example 101 



1.-.. Fifth Example 101 



16. Fallacies Ana]y.sed by the Indirect Method 102 



17. The Logical Abacus 104 



18. The Lofiical Machine 107 



19. The Order of Premises 114 



20. The Ei]uivalence of Propositions US 



21. The Nature of Inference ..118 



CHAPTER VII. 



INDUCTION. 



1. Induction 121 



2. Induction an Inverse Operation 122 



3. Inductive Probk^ns for Solution by the Reader 12(v 



4. Induction of Simi)le Identities 127 



5. Induction of Partial Identities 130 



6. Solution of the Inverse or Inductive Problem, involving Two 



Classes 1^_| 



7. The Inverse Logical Problem, involving Three Classes . . . 137 



8. Professor Cliflbrd on the Types of Compound Statement in- 



volving Four Cla.-5«es 1^3 



9. Distinction between Perfect and Imperfect Induction . . .146 

 10. Transition from Perfect to Imperfect Induction 149 



