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
A _Universal Proposition_ is one in which the _whole quantity_ of the
Subject is involved in the assertion or denial of the Predicate. For
instance: "All men are liars," by which is affirmed that _all_ of the
entire race of men are in the category of liars, not _some_ men but
_all_ the men that are in existence. In the same way the Proposition:
"No men are immortal" is Universal, for it is a _universal denial_.
A _Particular Proposition_ is one in which the affirmation or denial of
the Predicate involves only a _part or portion_ of the whole of the
Subject, as for instance: "_Some_ men are atheists," or "_Some_ women
are not vain," in which cases the affirmation or denial does not involve
_all_ or the _whole_ of the Subject. Other examples are: "A _few_ men,"
etc.; "_many_ people," etc.; "_certain_ books," etc.; "_most_ people,"
etc.
Hyslop says: "The signs of the Universal Proposition, when formally
expressed, are _all_, _every_, _each_, _any_, _and whole_ or words with
equivalent import." The signs of Particular Propositions are also
certain adjectives of quantity, such as _some_, _certain_, _a few_,
_many_, _most_ or such others as denote _at least a part_ of a class.
The subject of the Distribution of Terms in Propositions is considered
very important by Logicians, and as Hyslop says: "has much importance in
determining the legitimacy, or at least the intelligibility, of our
reasoning and the assurance that it will be accepted by others." Some
authorities favor the term, "Qualification of the Terms of
Propositions," but the established usage favors the term
"Distribution."
The definition of the Logical term, "Distribution," is: "The
distinguishing of a universal whole into its several kinds of species;
the employment of a term to its fullest extent; the application of a
term to its fullest extent, so as to include all significations or
applications." A Term of a Proposition is _distributed_ when it is
employed in its fullest sense; that is to say, _when it is employed so
as to apply to each and every object, person or thing included under
it_. Thus in the proposition, "All horses are animals," the term
_horses_ is distributed; and in the proposition, "Some horses are
thoroughbreds," the term _horses_ is not distributed. Both of these
examples relate to the distribution of the _subject_ of the proposition.
But the predicate of a proposition also may or may not be distributed.
For instance, in the proposition, "All horses are animals," the
predicate, _animals_, is not distributed, that is, _not used in its
fullest sense_, for all _animals_ are not _horses_--there are _some_
animals which are not horses and, therefore, the predicate, _animals_,
not being used in its fullest sense is said to be "_not distributed_."
The proposition really means: "All horses are _some_ animals."
Public-domain text, read in full here on John Shaqi.
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