(3) that if only the antecedent be more than one, the conclusion will be a simple proposition; but if both antecedent and consequent be more than one, the conclusion will itself be disjunctive. § 781. The dilemma, it will be seen, differs from the partly conjunctive syllogism chiefly in the fact of having a disjunctive affirmation of the antecedent or denial of the consequent in the minor, instead of a simple one. It is this which constitutes the essence of the dilemma, and which determines its possible varieties. For if only the antecedent or only the consequent be more than one, we must, in order to obtain a disjunctive minor, affirm the antecedent or deny the consequent respectively; whereas, if there be more than one of both, it is open to us to take either course. This gives us four types of dilemma. § 782. (1). _Simple Constructive._ If A is B or C is D, E is F. Either A is B or C is D. .'. E is F. (2). _Simple Destructive._ If A is B, C is D and E is F. Either C is not D or E is not F. .'. A is not B. (3). _Complex Constructive._ If A is B, C is D; and if E is F, G is H. Either A is B or E is F. .'. Either C is D or G is H. (4). _Complex Destructive_. If A is B, C is D; and if E is F, G is H. Either C is not D or G is not H. .'. Either A is not B or E is not F. § 783. (1). _Simple Constructive_. If she sinks or if she swims, there will be an end of her. She must either sink or swim. .'. There will be an end of her. (2). _Simple Destructive_. If I go to Town, I must pay for my ticket and pay my hotel bill. Either I cannot pay for my ticket or I cannot pay my hotel bill. .'. I cannot go to Town. (3). _Complex Constructive_. If I stay in this room, I shall be burnt to death, and if I jump out of the window, I shall break my neck. I must either stay in the room or jump out of the window. .'. I must either be burnt to death or break my neck. (4). _Complex Destructive_. If he were clever, he would see his mistake; and if he were candid, he would acknowledge it. Either he does not see his mistake or he will not acknowledge it. .'. Either he is not clever or he is not candid. § 784. It must be noticed that the simple destructive dilemma would not admit of a disjunctive consequent. If we said, If A is B, either C is D or E is F, Either C is not D or E is not F, we should not be denying the consequent. For 'E is not F' would make it true that C is D, and 'C is not D' would make it true that E is F; so that in either case we should have one of the alternatives true, which is just what the disjunctive form 'Either C is D or E is F' insists upon. § 785. In the case of the complex constructive dilemma the several members, instead of being distributively assigned to one another, may be connected together as a whole--thus--