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
Judging is the process of conjoining and disjoining notions.
When these notions are conjoined the judgment is affirmative; when
disjoined the judgment is negative. To illustrate: “Some men are
wise,” is an affirmative judgment, while “Some men are not wise,” is
a negative judgment. All judgments are either affirmative or negative
and this suggests that there may be but two fundamental laws or axioms
underlying judging or all forms of developed thinking. One law would
condition the affirmative judgment; the other the negative. Such is
actually the case. The law which permits the affirmative judgment is
called the _law of identity_, while the law which allows a negative
judgment is known as the _law of contradiction_. There is a third law
termed the _law of excluded middle_, which is in reality a combination
of the other two.
=2. THE LAW OF IDENTITY.=
In general the law of identity implies a certain permanency throughout
the material world. That door is a door and always will be a door till
the conditions change. If it were not for this law, that everything is
permanently identical with itself, it would be impossible to think at
all. For example: Take away the notion of permanency from the door and
thought becomes at once ridiculous. Suppose that while we are asserting
that the object is a door, it changes to a tree, and while we insist
that the object is now a tree, it changes to a cow, etc. We can readily
see that it would hardly be worth while to think at all.
The law of identity may be stated in three ways: (1) Whatever is, is;
(2) Everything remains identical with itself; (3) The same is the same.
ABSOLUTE IDENTITY――COMPLETE AND INCOMPLETE.
Applying the law of identity to the affirmative judgment expressed in
the form of a proposition, we find two kinds of identity, absolute and
relative. In the propositions, “Socrates is Socrates,” “dogs are dogs,”
“honesty is honesty,” the subject is _absolutely_ identical with the
predicate――the same in form and meaning. If we were to illustrate the
subject and predicate by two circles they would be of the same size and
shape, the one coinciding with the other point to point.
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