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
The attributes of a term may be separated into three classes:
differentia, property and accident. It would appear possible,
therefore, to define a term by enumerating the accidents only or by
enumerating the properties, or, finally, by stating the differentiae.
But if the enumeration is confined to accidents the chances are that
the statement will be a description, not a definition, as accidents
are seldom sufficiently characteristic to determine the boundaries of
a term. This leaves open two distinct ways of defining a term: First,
by naming the properties or properties and accidents only; second,
by stating the differentiæ only. The former kind is the so-called
descriptive definition, while the latter is the logical.
(2) _A descriptive definition of a term is a description of its nature
by means of its properties and accidents._
(3) _A logical definition of a term is a description of its nature by
means of its differentiæ._
THE THREE KINDS OF DEFINITIONS ILLUSTRATED AND COMPARED.
Etymological Definition of Trigon.
A trigon is a figure of three corners.
Descriptive:
A trigon is a figure which has three sides and three angles, the sum
of the latter being equal to two right angles.
Logical:
A trigon is a polygon of three angles.
It is seen that an etymological definition is simply a root-word
analysis. In the case of _trigon_, the prefix comes from the Greek,
meaning three, while the root-word comes from the Greek meaning corner.
The descriptive definition of trigon names the properties, “three
sides and three angles” (differentiæ) and the accident, “the sum of
the angles of which equals two right angles.”
The logical definition of trigon simply states the proximate genus,
“polygon,” and the differentia, “three angles.”
=6. WHEN THE THREE KINDS OF DEFINITIONS ARE SERVICEABLE.=
The etymological definition is helpful in furnishing a cue for
remembering the descriptive and logical definitions. It also leads
to precision of expression――the right word in the right place. Here
is where the knowledge of a foreign language, particularly Latin, is
helpful.
The descriptive definition is best adapted to the child-mind. Children
think in the large; are not given to hair-splitting discriminations,
and, therefore, _many_ characteristic marks must be mentioned in
order to insure a mastery of the content. With children the logical
definition is often too brief to be clear. For example, it is easy
to see which of the following definitions would be better adapted
to the child-mind. _Logical_: A square is an equilateral rectangle.
_Descriptive_: A square is a figure of four equal sides and four right
angles.
The logical definition may be introduced to the student of the
secondary school.
Public-domain text, read in full here on John Shaqi.
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