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 which is, “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.
(1) Relate the three kinds of arguments to the three general kinds of propositions.
(2) Define and illustrate the hypothetical argument.
(3) Explain the term conjunctive with reference to hypothetical arguments.
(4) Explain and illustrate antecedent and consequent in hypothetical arguments.
(5) Select from the following the antecedent and consequent:
(1) “I usually succeed when I try.” (2) “I will not undertake it unless you guarantee half of the sum needed.” (3) “Though I speak with the tongues of men and of angels, and have not charity, I am become as sounding brass or a tinkling cymbal.”
(6) Illustrate the two kinds of hypothetical syllogisms which are valid.
(7) State and explain the rule to which hypothetical arguments must conform.
(8) State and exemplify the one exception to the hypothetical rule.
(9) Explain how hypothetical arguments may be reduced to the categorical form. Illustrate.
(10) Show by illustration that denying the antecedent is equivalent to _illicit major_, while affirming the consequent is equivalent to _undistributed middle_.
(11) Reduce to the categorical form and test:
“If Napoleon had possessed more of the spirit of Washington, he would have been less famous but a better man than he was; but he did not possess the spirit of the ‘Father of His Country.’”
(12) Test according to outline the following hypothetical arguments:
(1) “If it be a good thing to have faith, then certainly he who believes in the bible of a pagan has faith and must have a good thing.” (2) “If a 10-inch charge burst inside of a tank, there would be nothing left of the tank. It would be blown into small pieces.” (3) “If the plate found had been originally on the outside of the ship, I should have judged that there must be green paint on it, but I could not find green paint on that part of the ship.” (4) “If I mistake not, you are the man who did not pay me for that pair of shoes. I am sure that you are the man as I never forget a face.” (5) “If the maxim ‘Early to bed and early to rise makes one healthy, wealthy and wise’ were true, I would have been a millionaire long ago.”