20. REVIEW QUESTIONS.
(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.”
(13) Define and illustrate a disjunctive argument.
(14) Exemplify the two kinds of disjunctive arguments.
(15) What is meant by a logical disjunction?
(16) “The alternatives must be mutually exclusive.” Explain this, illustrating fully.
(17) Cite cases where the enumeration is not complete.
(18) State in complete form both of the rules to which all disjunctive arguments must conform.
(19) Show by illustration how the disjunctive syllogism may be reduced to the categorical.
(20) Define and illustrate the dilemma.
(21) Give examples, using symbols, of the four dilemmatic forms. Explain why these forms are so named.
(22) Why does the hypothetical rule apply to the dilemmatic syllogism?
(23) Test the validity of the following: Give reasons.
(1) “If a substance is solid it possesses elasticity and so also it does if it be a liquid or gaseous; but all substances are either solid, liquid or gaseous; therefore, all substances possess elasticity.”
(2) “If men were prudent, they would act morally fortheir own good; if benevolent, for the good of others. But many men will not act morally, either for their own good or that of others; such men, therefore, are not prudent or benevolent.”
(3) “If the majority of those who use public houses are prepared to close them, legislation is unnecessary; but if they are not prepared for such a measure, then to force it upon them by outside pressure is both dangerous and unjust.”
(4) “The man is either a liar or a fool and in either case he is beneath my attention.”
(5) “Either he is sincere or else he is the most astute impostor the world has ever produced; for me I prefer to think him sincere.”
(24) Explain the relation that many experiences appear to bear toward an argument introduced by a disjunctive proposition and followed by a hypothetical syllogism. Illustrate.