(11) Subjecting the disjunctive arguments to the categorical test gives evidence to the close relation existing between the two forms. A logical disjunctive proves to be logical when reduced to the categorical. The reduction entails the two steps, first, reduce to the hypothetical; second, reduce to the categorical.
(12) The logical meaning of the dilemma is suggested by the popular conception. One is said to be in a dilemma when two courses are open to him, neither of which is specially attractive.
A logical dilemma presents two alternatives either one of which might well be avoided.
The major premise of the dilemma is hypothetical; while the minor is disjunctive.
(13) The four forms of the dilemma are the simple constructive, the simple destructive, the complex constructive and the complex destructive.
(14) The dilemma is subject to the hypothetical rule whichis, “The minor premise must either affirm the antecedent or deny the consequent.”
(15) The minor premise need not be a logical disjunctive provided the major conforms to the hypothetical rule.
(16) Frequently when ordinary experiences are reduced to augmentative form they present a disjunctive proposition followed by a hypothetical argument.
20. REVIEW QUESTIONS.
(1) Relate the three kinds of arguments to the three general kinds of propositions.