CONTENTS OF VOLUME I. xix 



CHAPTER III. 

 FIGURES AND MOODS OF THE SYLLOGISM. 



PACE 



159. Distinction of Figures 319 



160. Distinction of Moods 320 



161. Determination of the Special Rules and Legitimate Moods of Each Figure 320 



162. The &quot; Original &quot; or &quot; Named &quot; Moods and the &quot; Subaltern &quot; Moods . 324 



163. The &quot; Fundamental &quot; and the &quot; Strengthened &quot; Moods of the Syllogism . 326 



164. Direct Determination of the Valid Moods in each Figure . . . 327 



165. The Valid Moods and the Existential Import of Propositions . . . 331 



166. The Syllogism and the Qualification of the Predicate .... 332 



167. Finding Middle Terms and Constructing Formally Valid Syllogisms . 332 



CHAPTER IV. 

 THE DOCTRINE OF REDUCTION : ANALYSIS OF THE FIGURES. 



168. The Nature and Aim of Reduction : Explanation of the Mnemonic Lines 335 



169. Indirect Reduction : Extension of the Doctrine of Reduction . . . 339 



170. Characteristics of ihe First Figure 343 



171. Characteristics of the Second Figure ....... 344 



172. Characteristics of the Third Figure 346 



173. The Fourth Figure and the Indirect Moods of the First Figure . . 350 



CHAPTER V. 

 HYPOTHETICAL AND DISJUNCTIVE SYLLOGISMS. 



X 74. The Pure Hypothetical Syllogism 356 



175. The Mixed Hypothetical Syllogism 358 



176. &quot; Moods &quot; of the Mixed Hypothetical Syllogism 359 



177. Fallacies in the Mixed Hypothetical Syllogism 360 



178. The Reasoning in the Mixed Hypothetical Syllogism is Mediate Reason 



ing 361 



179. The Pure Disjunctive Syllogism 362 



180. The Mixed Disjunctive (or Mixed Alternative) Syllogism .... 363 



181. Valid and Invalid Moods of the Mixed Disjunctive Syllogism . . . 363 



182. Reduction of Hypothetical and Disjunctive Syllogism to Categorical 



Form 365 



183. The Dilemma : Its Various Forms 367 



184. Reduction and Validity of the Various Forms of Dilemma . . . 370 



185. Other Views of the Dilemma 374 



CHAPTER VI. 

 ABRIDGED AND CONJOINED SYLLOGISMS. 



186. The Modern Enthymeme 376 



187. The Polysyllogism 377 



