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
=9. POSITIVE AND NEGATIVE TERMS.=
_A positive term is one which signifies the possession of certain
attributes_; e. g., metal, man, teacher, happy, honest.
_A negative term is one which signifies the absence of certain
attributes_; e. g., inorganic, unhappy, non-metallic.
Terms which have the prefix not, non, un, in, dis, etc., or the affix
less, are usually considered negative. The fact that there are some
exceptions to this must not be overlooked. For example, unloosed,
invaluable, are positive terms.
In theory every positive term has its corresponding negative; as pure,
impure; organic, inorganic; metal, non-metal; good, not-good.
In some instances the language does not supply the word with the
negative prefix because no need of it has been felt. The only way to
express the negative of such words as good, table, etc., is to prefix
“not” or “non.”
=10. CONTRADICTORY AND OPPOSITE TERMS. (See page 38).=
Positive terms with their negatives have contradictory meanings and
therefore are referred to as contradictory terms. For example, honest
and not-honest, metallic and non-metallic, perfect and imperfect,
are contradictory terms. Such terms are mutually destructive. When we
assert the truth of one we also imply the falsity of the other. If, for
example, we assert that Abraham Lincoln was honest, we carry with this
assertion the implication that Lincoln was not not-honest, or that any
statement to the effect that he was not honest is false.
Contradictory terms, when used in a sentence, illustrate the law of
excluded middle, as in the statements: “John’s recitation is either
perfect or imperfect.” “This teacher is either just or not-just.”
There is no middle ground in such propositions.
When contradictory terms are used in classification the whole is
divided into but two classes; e. g.:
honest not-honest
agreeable not-agreeable
metallic non-metallic
perfect imperfect
pure impure
organic inorganic
All the men in the world are either honest or not-honest. All the
substances in existence are either organic or inorganic, etc.
It will also be seen from this list that the contradictory of the
positive form is not always indicated by using the prefix. Honest
and dishonest, or agreeable and disagreeable, are not contradictory
terms. In the case of agreeable and disagreeable, there seems to be
the middle ground of absolute indifference. For example: the music of
the orchestra is agreeable while the humming of the enthusiast back
of me is decidedly disagreeable; but as to the noise upon the street,
it is neither agreeable nor disagreeable as long practice has made me
indifferent to it.
When there is any doubt as to the terms being contradictory, the safest
plan is to prefix “not” or “non” to the positive form.
Terms which oppose each other but do not contradict are said to be
opposite or contrary terms. The following list illustrate opposite
terms:
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