A Class Room Logic: Deductive and Inductive, with Special Application to the Science and Art of TeachingMcNair, George Hastings
Philosophy
A Class Room Logic: Deductive and Inductive, with Special Application to the Science and Art of Teaching
McNair, George Hastings
Logic
It would seem that the major premise is a logical disjunctive, since
temperate and intemperate indicate that the alternatives are _mutually
exclusive_ and the _enumeration complete_. And since the minor premise
denies one alternative while the conclusion affirms the other, we may
infer that the argument is valid.
(3) If a man is honest, he will either pay his debts or explain; but
this fellow paid no heed to the repeated notifications.
_Arranged logically._
If a man is honest, he will pay his debts; and if he is honest, he
will explain in case he cannot pay,
This man neither paid his debt, nor explained,
∴ This man is not honest.
This is a simple destructive dilemma, and since the minor premise
denies the consequents it is valid.
(4) A voter must either favor protection or free trade; and since you
do not favor protection, you must be a free trader. The disjunctive is
not logical as one might believe in universal reciprocity. The argument
is, therefore, invalid. _Why?_
(5) If a man were loyal, he would not be unduly critical; and if he
were wise, he would not be too loquacious; but I find this clerk has
been both unduly critical and too loquacious; hence I consider that he
has been not only unwise but strikingly disloyal.
This complex dilemma is valid since the minor premise denies the two
consequents.
=17. ORDINARY EXPERIENCES RELATED TO THE DISJUNCTIVE PROPOSITION AND
HYPOTHETICAL ARGUMENT.=
(1) One desires to take a certain trip which involves various routes;
information from time tables reveals the fact that there are three
routes A, B, and C. Concerning the conditions of the journey the most
important factor is the _matter of comfort_. Further investigation
makes evident that route B will be the most comfortable one, and
consequently is the route selected. Putting this ordinary experience
in argumentative form gives the following:
The route is to be either A, or B, or C;
I will take route A; if it is the most comfortable; (co-extensive)
A is not the most comfortable route,
Hence I will not take route A.
If B is the most comfortable route, I will take it;
B is the most comfortable route,
Hence I will take route B.
(2) The symptoms suggest either malarial or typhoid fever; the
physician is undecided till a blood test makes evident that it is not
typhoid.
_Considered argumentatively._
This disease is either malarial or typhoid fever;
If it is typhoid, the blood will reveal certain evidences;
But the blood does not reveal these evidences,
Hence the disease is not typhoid.
(3) The natural bent of the youth suggests the profession of either the
ministry or teaching. He finally decides to follow the one in which he
can best serve his fellows. This, after mature deliberation, appears to
him to be the work of the teacher. Thrown into the form of an argument
the following results:
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