I am best fitted for either the pulpit or the schoolroom; If the schoolroom furnishes the richest field for helping my fellows, I will choose that work; The schoolroom _does_ appear to furnish such a field, Hence I will choose the work of the teacher. It would appear from these ordinary experiences that frequently we are brought face to face with a choice of alternatives which are not unattractive, as in the case of the dilemma. Moreover, some condition suggests itself which, if proved or disproved, will lead to a choice of _one_ of these alternatives. Such circumstances when thrown into the form of an argument present a _disjunctive proposition_ followed by a _hypothetical argument_. To put it differently: Often in our daily affairs a most prominent limiting condition induces us to select one out of several alternatives. These alternatives are _not_ dilemmatic in nature. =18. OUTLINE.= HYPOTHETICAL ARGUMENTS, AND DISJUNCTIVE ARGUMENTS INCLUDING THE DILEMMA. (1) Three kinds of arguments Categorical, hypothetical, disjunctive. (2) Hypothetical arguments Defined, illustrated. (3) Antecedent and consequent. How determined, illustrations. (4) Two kinds of hypothetical arguments Constructive, destructive, illustrations. (5) Rule and two fallacies of the hypothetical argument. Illustrations and application of rules. Fallacy of denying antecedent. Fallacy of affirming consequent. Co-extensive hypotheticals. (6) Hypothetical arguments reduced to the categorical form. Rule, illustrations. Hypothetical and categorical arguments compared. (7) Illustrative exercises testing hypothetical arguments of all kinds. (8) Disjunctive arguments. Defined, illustrated. (9) Two kinds of disjunctive arguments. By “affirming denies,” by “denying affirms.” Illustration. (10) First rule. Stated, illustrated. (11) Second rule Stated, illustrated. (12) Reduction of disjunctive argument Two steps. (13) The dilemma Definition. (14) Four forms of dilemmatic arguments Simple constructive, simple destructive, Complex constructive, complex destructive. Illustrations. (15) The rule. (16) Illustrative exercises testing disjunctive and dilemmatic arguments. (17) Ordinary experiences related to the disjunctive proposition and hypothetical argument. =19. SUMMARY.= (1) Just as there are three kinds of propositions so there are three kinds of arguments; namely, categorical, hypothetical, disjunctive. (2) Categorical syllogistic arguments are those in which all of the propositions are categorical. Hypothetical syllogistic arguments are those in which the major premise is hypothetical. In contradistinction to disjunctives, hypothetical arguments may be referred to as “_conjunctive_”.