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
(4) “Bolingbroke in arguing against the truth of the Christian
religion shows that the Christian religion has bred
contentions.” “Burke answered him by showing that civil
government had bred contentions.”
CHAPTER 15.
HYPOTHETICAL ARGUMENTS, AND DISJUNCTIVE ARGUMENTS
INCLUDING THE DILEMMA.
=1. THREE KINDS OF ARGUMENTS.=
The proposition, constituting the basic unit of the argument, would
of necessity be indicative of the nature of said argument; therefore
the three general kinds of propositions, categorical, hypothetical and
disjunctive, suggest the three kinds of arguments which are in turn
categorical, hypothetical and disjunctive. Categorical arguments are
those in which all of the propositions are categorical. Since this kind
has been treated, it remains for us to consider the other two.
=2. HYPOTHETICAL ARGUMENTS.=
We have observed that a hypothetical proposition is one in which the
assertion depends on a condition; for example, in the proposition, “If
it is pleasant, I will call on you to-morrow,” the _calling_ depends
on the state of the weather. “I will call on you to-morrow,” is the
_assertion_ which is limited by the _condition_, “If the weather is
pleasant.” Definition:
_The hypothetical argument or syllogism is one in which the major
premise is hypothetical and the minor premise categorical._
ILLUSTRATION:
If the people are right more than half of the time, the world will
progress;
And the people _are_ right more than half of the time,
Hence the world will progress.
In contradistinction to _disjunctives_, hypothetical propositions and
hypothetical syllogisms are frequently referred to as “_conjunctive_.”
=3. THE ANTECEDENT AND CONSEQUENT.=
Facility in detecting the antecedent and consequent of hypotheticals
is required in order to deal intelligently with the argument. The
hypothetical proposition has been defined as one in which the assertion
is limited by a condition. The _consequent_ is the assertion and
usually follows (though not always) the _antecedent_ which is the
limiting condition. _First the antecedent and then the consequent is
the logical order_ as the derivative meaning of the words antecedent
and consequent would indicate. The antecedent is introduced by such
words as “if,” “though,” “unless,” “suppose,” “granted that,” “when,”
etc.
ILLUSTRATIONS:
_Antecedent._ _Consequent._
1. If you study, you will pass.
2. If it rains, it is cloudy.
3. If two is added to three, the result is five.
4. If you are temperate, you will live to a ripe old age.
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