

XIV CONTENTS. 



BOOK II. 



OF REASONING. 

 CHAPTEE I. Of Inference, or Seasoning, in general. 



PAGE 



1. Eetrospect of the preceding book .... 175 



2. Inferences improperly so called .... 177 



3. Inferences proper, distinguished into inductions and ratio 



cinations ....... 181 



CHAPTER II. Of Ratiocination, or Syllogism. 



1. Analysis of the Syllogism ..... 184 



2. The dictum de omni not the foundation of reasoning, but 



a mere identical proposition .... 191 



3. What is the really fundamental axiom of Ratiocination . 196 



4. The other form of the axiom .... 199 



CHAPTEE III. Of the Functions, and Logical Value, of the 



Syllogism. 

 ^ 



1. Is the syllogism a petitio principii ? . . . 202 



2. Insufficiency of the common theory . . . 203 



3. All inference is from particulars to particulars . . 205 



4. General propositions are a record of such inferences, and 



the rules of the syllogism are rules for the interpretation 



of the record ...... 214 



5. The syllogism not the type of reasoning, but a test of it . 218 



6. The true type, what . . . . .222 



7. Relation between Induction and Deduction . . 226 



8. Objections answered ..... 227 



9. Of Formal Logic, and its relation to the Logic of Truth . 231 



CHAPTEE IV. Of Trains of Reasoning, and Deductive 

 Sciences, 



1. For what purpose trains of reasoning exist . . 234 



2. A train of reasoning is a series of inductive inferences . 234 



3. from particulars to particulars through marks of marks 237 



4. Why there are deductive sciences .... 240 



5. Why other sciences still remain experimental . . 244 



6. Experimental sciences may become deductive by the pro 



gress of experiment ..... 246 



7. In what manner this usually takes place . . . 247 



