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 poet often employs the inverted proposition, illustrated by
the following: “Blessed are the merciful;” “Great is this man of
war.” An interchanging of subject and predicate makes these poetical
constructions logical; e. g., “All the merciful are blessed;” “This man
of war is great.”
NOTE.――The student should not be misled by the relative clause. Often
it may be interpreted as a part of the predicate rather than the
subject. To wit: “No man is a friend who betrays a confidence”; clearly
the logical subject is _no man who betrays a confidence_.
=7. PROPOSITIONS WHICH ARE NOT NECESSARILY ILLOGICAL.=
(1) _Analytic and Synthetic Propositions._
_An analytic proposition is one in which the predicate gives
information already implied in the subject._ Thus, “_Fire burns_,”
“_Water is wet_,” “_A triangle has three angles_” are analytic
propositions because the predicates do not give added information
to one who has any conception of the subjects. Because the attribute
mentioned by the predicate is an essential one, analytic propositions
are sometimes termed _essential_ propositions. Other names for the same
kind of proposition are _verbal_ and _explicative_.
_A synthetic proposition is one in which the predicate gives
information not necessarily implied in the subject. “Fire protects men
from the wild animal.” “A cubic foot of water weighs 62½ lbs.” “The sum
of the interior angles of a triangle is equal to two right angles.”_
These are synthetic because a common conception of the meaning of
the subject would not need to include the information given by the
predicate. Other names for synthetic propositions are _accidental_,
_real_ and _ampliative_.
The distinction between analytic and synthetic propositions is not
so clear as would on first thought appear. “_Fire burns_” might give
added information to the child or savage who knows only of the light
emitted by fire. To them, then, the proposition would be synthetic. The
distinction must be based upon the assumption that the same words mean
about the same thing to people in general.
This analytic-synthetic division of propositions finds a significance
in the domain of philosophy. To the logician the distinction is of
slight importance save in the so-called verbal disputes, viz.: disputes
which turn on the meaning of words.
(2) _Modal and Pure Propositions._
_A modal proposition states the mode or manner in which the predicate
belongs to the subject._ The signs of modal propositions are the
adverbs of time, place, degree, manner. Illustrations: “James is
walking _rapidly_.” “Honesty is _always_ the best policy.” “Aristotle
was _probably_ the greatest thinker of ancient times.”
_A pure proposition simply states that the predicate belongs, or
does not belong, to the subject._ Illustrations: “James is walking.”
“Honesty is the best policy.” “Aristotle was the greatest thinker of
ancient times.”
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