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
I. _Abstraction_, by which is meant the process of _drawing off_ and
_setting aside_ from an object, person or thing, _a quality or
attribute_, and making of it a distinct object of thought. For instance,
if I perceive in a _lion_ the quality of _strength_, and am able to
think of this quality abstractly and independently of the animal--if the
term _strength_ has an actual mental meaning to me, independent of the
lion--then I have _abstracted_ that quality; the thinking thereof is an
act of _abstraction_; and the thought-idea itself is an _abstract idea_.
Some writers hold that these abstract ideas are realities, and "not mere
figments of fancy." As Brooks says: "The rose dies, but my idea of its
color and fragrance remains." Other authorities regard Abstraction as
but an act of _attention_ concentrated upon but the particular quality
to the exclusion of others, and that the abstract idea has no existence
apart from the general idea of the object in which it is included. Sir
William Hamilton says: "We can rivet our attention on some particular
mode of a thing, as its smell, its color, its figure, its size, etc.,
and abstract it from the others. This may be called Modal Abstraction.
The abstraction we have now been considering is performed on individual
objects, and is consequently particular. There is nothing necessarily
connected with generalization in abstraction; generalization is indeed
dependent on abstraction, which it supposes; but abstraction does not
involve generalization."
II. _Generalization_, by which is meant the process of forming Concepts
or General Ideas. It acts in the direction of apprehending the common
qualities of objects, persons and things, and combining and uniting them
into a single notion or _conception_ which will comprehend and include
them all. A General Idea or Concept differs from a particular idea in
that it includes within itself the qualities of the particular and other
particulars, and accordingly may be applied to any one of these
particulars as well as to the general _class_. For instance, one may
have a _particular idea_ of some _particular_ horse, which applies only
to that particular horse. He may also have a General Idea of _horse_, in
the generic or _class_ sense, which idea applies not only to the general
class of _horse_ but also to each and every _horse_ which is included in
that class. _The expression of Generalization or Conception is called a
Concept._
III. _Judgment_, by which is meant the process of comparing two objects,
persons or things, one with another, and thus perceiving their agreement
or disagreement. Thus we may compare the two concepts _horse_ and
_animal_, and perceiving a certain agreement between them we form the
judgment that: "A _horse_ is an _animal_;" or comparing _horse_ and
_cow_, and perceiving their disagreement, we form the judgment: "A
_horse_ is not a _cow_." _The expression of a judgment is called a
Proposition._
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