(1) a syllogism in which the only kind of complex proposition employed is the conjunctive; (2) a syllogism in which the only kind of complex proposition employed is the disjunctive; (3) a syllogism which has one premiss conjunctive and the other disjunctive. The chief instance of the third kind is that known as the Dilemma. Syllogism ___________________|_______________ | | Simple Complex (Categorical) (Conditional) _____________________|_______________ | | | Conjunctive Disjunctive Dilemma (Hypothetical) _The Conjunctive Syllogism_. § 733. The Conjunctive Syllogism has one or both premisses conjunctive propositions: but if only one is conjunctive, the other must be a simple one. § 734. Where both premisses are conjunctive, the conclusion will be of the same character; where only one is conjunctive, the conclusion will be a simple proposition. § 735. Of these two kinds of conjunctive syllogisms we will first take that which consists throughout of conjunctive propositions. _The Wholly Conjunctive Syllogism_. § 736. Wholly conjunctive syllogisms do not differ essentially from simple ones, to which they are immediately reducible. They admit of being constructed in every mood and figure, and the moods of the imperfect figures may be brought into the first by following the ordinary rules of reduction. For instance-- Cesare. Celarent. If A is B, C is never D. \ / If C is D, A is never B. If E is F, C is always D. | = | If E is F, C is always D. .'. If E is F, A is never B. / \ .'. If E is F, A is never B. If it is day, the stars never shine.\ /If the stars shine, it is never day. If it is night, the stars always \=/ If it is night, the stars always shine. / \ shine. .'. If it is night, it is never day / \.'. If it is night, it is never day. Disamis. Darii. If C is D, A is sometimes B. \ / If C is D, E is always F. If C is D, E is always F. | = | If A is B, C is sometimes D. If E is F, A is sometimes B. / \ .'. If A is B, E is sometimes F. .'. If E is F, A is sometimes B. If she goes, I sometimes go. \ / If she goes, he always goes, If she goes, he always goes. | = | If I go, she sometimes goes. .'. If he goes, I sometimes go. / \ .'. If I go, he sometimes goes. .'. If he goes, I sometimes go. _The Partly Conjunctive Syllogism._ § 737. It is this kind which is usually meant when the Conjunctive or Hypothetical Syllogism is spoken of.