A Class Room Logic: Deductive and Inductive, with Special Application to the Science and Art of Teaching — John Shaqi
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
It has been observed that the species refers to more qualities than
the genus. In fact, it represents all the attributes of the genus plus
those which distinguish the particular species from the other species
of the genus. These additional qualities are the differentiæ of the
particular species.
TO ILLUSTRATE:
The attribute which distinguishes man from the other bipeds of the
world is his rationality. That which distinguishes the rectangle from
the other parallelograms is its four right angles. The attributes
_rationality_ and _right angles_ are differentiae.
(4) _Property._
_A property of a term is any attribute which helps to make the term
what it is._ Thus “consciousness” is a property of man, “binding” a
property of book, “angles” a property of triangle. Deprive the terms
of these attributes and their true nature is altered.
A differentia is a property according to the foregoing definition.
However, Jevons defines “property” as “Any quality which is common to
the whole of a class, but is not necessary to mark out the class from
other classes.” This viewpoint excludes “differentia” from the notion
of property. The difference in opinion is of slight importance.
(5) _Accident._
_An accident of a term is any attribute which does not help to make
the term what it is._ It may indifferently belong or not belong to the
term. Deprive a term of an accident and the nature of the term remains
unchanged. Thus, a teacher’s position, a man’s watch, the fact that the
angle is one of 80° are all accidents.
It is obvious that a property is a _constant_ attribute while an
accident is variable. This gives to the former a universal validity
while the latter is more or less shifting and uncertain. All triangles
must have _three angles_ (property) while the _value of each angle in
degrees_ (accident) admits of unlimited variation.
Some logicians divide accidents into separable and inseparable. A man’s
_hat_ would be a separable accident while his _birthplace_ would be an
inseparable accident.
FIVE PREDICABLES ILLUSTRATED.
In the following brief descriptions the five predicables are
designated:
(species) (genus) (differentia)
(1) This ――――――――― is a ――――――――――――― with ―――――――――――――――――
rectangle parallelogram four right angles
(accident)
its longer sides being ――――――――――.
ten inches
(species) (differentia) (prox. genus)
(2) This ――――――――― is a ――――――――――――― ――――――――――――― with the
man rational biped
(property) (accident)
――――――――――――――――――― and a ――――――――――――――――.
power of locomotion ruddy complexion
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