 Part III focuses on rules for syllogistic reasoning, and is divided into 20 chapters. Although the authors insist that most erroneous reasoning is based on false premises rather than incorrect inferences (Logic, 9), they believe the study of syllogistic forms can be helpful for exercising the mind. The Logic classifies syllogisms into simple and conjunctive, and simple syllogisms into complex and noncomplex (despite the awkward terminology). After defining terms in chapters 1 and 2, they present general rules for simple, noncomplex syllogisms in chapter 3. This chapter completes their reworked version of the theory of the distribution of terms, begun in the last four chapters of Part II. Chapters 4 through 8 explain with innovative compactness (albeit still with tedious detail) the figures and moods of simple syllogisms, again reproducing traditional Aristotelian and medieval results. In chapters 9 through 13 the Logic treats in a less formal way principles for recognizing validity in syllogisms that are not simple. Chapters 14, 15, and 16 discuss respectively enthymemes, sorites (syllogisms with more than three propositions) and dilemmas. Despite their view that the traditional theory of topics (the method for finding arguments) is especially lacking utility, the authors treat it in chapters 17 and 18. “Those who object to this can spare themselves by not reading them” (Logic, 11). Here they criticize Aristotle, Ramus, and the Scholastics. Finally, chapters 19 and 20 discuss sophisms and fallacies.