The Art of Logical Thinking; Or, The Laws of ReasoningAtkinson, William Walker
Philosophy
The Art of Logical Thinking; Or, The Laws of Reasoning
Atkinson, William Walker
Logic; Reasoning
An authority says: "The names _species_ and _genus_ are merely relative
and the same common term may, in one case, be the species which is
predicated of an individual, and in another case the individual of which
a species is predicated. Thus the individual, George, belongs to the
logical species Man, while Man is an individual of the logical species
Animal." Jevons says: "It is desirable to have names by which to show
that one class is contained in another, and accordingly we call the
class which is divided into two or more smaller ones, the _genus_, and
the smaller ones into which it is divided, the _species_." _Animal_ is
a _genus_ of which _man_ is a _species_; while _man_, in turn, is a
_genus_ of which _Caucasian_ is a _species_; and _Caucasian_, in turn,
becomes a _genus_ of which _Socrates_ becomes a species. The student
must avoid confusing the _logical_ meaning of the terms _genus_ and
_species_ with the use of the same terms in Natural History. _Each class
is a "genus" to the class below it in extension; and each class is a
"species" to the class above it in extension._ At the lowest extreme of
the scale we reach what is called the _infima species_, which cannot be
further subdivided, as for instance "Socrates"--this lowest species must
always be an individual object, person or thing. At the highest extreme
of the scale we reach what is _summum genus_, or highest genus, which is
never a species of anything, for there is no class higher than it, as
for instance, "being, existence, reality, truth, the absolute, the
infinite, the ultimate," etc. Hyslop says: "In reality there is but one
_summum genus_, while there may be an indefinite number of _infimae
species_. All intermediate terms between these extremes are sometimes
called _subalterns_, as being either genera or species, according to
the relation in which they are viewed."
Passing on to the classification of the character of the _intension_ of
terms, we find:
_Difference_, a term denoting: "The mark or marks by which the species
is distinguished from the rest of the genus; the specific
characteristic." Thus the color of the skin is a _difference_ between
the Negro and the Caucasian; the number of feet the _difference_ between
the biped and the quadruped; the form and shape of leaves the
_difference_ between the oak and the elm trees, etc. Hyslop says:
"Whatever distinguishes one object from another can be called the
_differentia_. It is some characteristic in addition to the common
qualities and determines the species or individual under the genus."
_Property_, a term denoting: "A peculiar quality of anything; that which
is inherent in or naturally essential to anything." Thus a _property_ is
a distinguishing mark of a class. Thus black skin is a _property_ of the
Negro race; four feet a _property_ of quadrupeds; a certain form of leaf
a _property_ of the oak tree. Thus a _difference_ between two species
may be a _property_ of one of the species.
Public-domain text, read in full here on John Shaqi.
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