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
A violation of this rule is referred to in logic as “defining the
unknown by the still more unknown” (_ignotum per ignotius_).
It is known that the purpose of definition is to make clear some
obscure term, consequently unless every word used is understood the
chief aim of the definition has been defeated.
From this it must not be inferred that all definitions should be free
from technical terms. Such a restriction would make the defining of
many terms unsatisfactory and in a few cases practically impossible.
To the student of evolution the following definition by Spencer
is intelligible while to the uninitiated it would appear obscure:
“Evolution is a continuous change from an indefinite, incoherent
homogeneity to a definite coherent heterogeneity through successive
differentiations and integrations.”
This rule insists upon simple language when it is possible to use such
in giving an accurate and comprehensive meaning to the term defined.
_Illogical Definitions According to the Fourth Rule._
(1) “A net is something which is reticulated and decussated, with
interstices between the intersections.” Dr. Johnson.
(2) “Thought is only a cognition of the necessary relations of our
concepts.”
(3) “The soul is the entelechy, or first form of an organized body
which has potential life.” Aristotle.
FIFTH RULE.
_When possible the definition must be affirmative rather than negative._
The fact that there are a considerable number of terms which admit of a
negative definition only, takes from the force of this rule. Such terms
as deafness, inexpressible, infidel and the like can best be defined
negatively.
It likewise happens that when words are used in pairs it is expedient
to define one affirmatively and the other negatively. Recall, for
example, the definitions of relative and absolute terms: “A relative
term is one which needs another term to make its meaning clear.”
“An absolute term is one which does not need another term to make its
meaning clear.”
_Illogical Definitions According to the Fifth Rule._
(1) A gentleman is a man who is not rude.
(2) An element is a substance which is not a compound.
(3) An univocal term is a term which does not have more than one
meaning.
=8. TERMS WHICH CANNOT BE DEFINED LOGICALLY.=
A logical definition insists upon a proximate genus and differentia.
But as there is no genus higher than the highest genus (_summum genus_)
then surely such cannot be defined logically. The words _being_ and
_thing_ illustrate terms of this class. Moreover, it is impossible
to give a satisfactory definition of an individual (_infima species_)
as no attributes can be mentioned which will distinguish definitely
and permanently the individual from others of the class. We may
perceive the attributes but not those that are possessed solely
by the individual. To say that Abraham Lincoln was a man who was
simple and honest is not a definition, as other men have had the
same characteristics.
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