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
(3) All of the men walked. (3) All of the men were those who
walked.
(4) The robbers cut a hole (4) All the robbers were the ones who
in this floor. cut a hole in this floor.
(5) Some of these flew away. (5) Some birds were those which
flew away.
(6) The rain interfered with (6) The rain was that which interfered
the attendance. with the attendance.
(7) Our habits make or (7) All our habits are forces which
unmake us. make or unmake us.
(8) We all had a fine time. (8) All the party were those who had
a fine time.
In argumentative discourse it is often sufficient to “think the
proposition” in terms of the four elements without taking the time to
actually express it.
=4. LOGICAL AND GRAMMATICAL SUBJECT AND PREDICATE DISTINGUISHED.=
The grammatical subject is _one_ word while the logical subject is the
grammatical subject with all its modifiers except the quantity sign.
For example: in the proposition, “All white men are Caucasians,” _men_
is the grammatical subject, while _white men_ is the logical subject.
_All_ being the quantity sign simply indicates the extension of _men_
and is not a part of the logical subject.
The grammatical predicate is the verb-form together with any predicate
noun or adjective, while the logical predicate is the predicate word
or words and all its modifiers. The grammatical predicate includes
the copula, but the logical predicate never includes the copula. The
grammatical predicate does not include the object, while the logical
predicate always includes what is equivalent to the object and all
its modifiers. To illustrate: in the proposition, “Some men are wise,”
_are wise_ is the grammatical predicate, while _wise_ is the logical
predicate. And in the proposition, “He burned the red house on the
hill,” _burned_ is the grammatical predicate, while _the one who burned
the red house on the hill_ is the logical predicate.
=5. THE FOUR KINDS OF CATEGORICAL PROPOSITIONS.=
Categorical propositions are divided according to their _quantity_
into _Universal_ and _Particular_ and according to their _quality_ into
_Affirmative_ and _Negative_.
_A universal proposition is one in which the predicate refers to the
whole of the logical subject._
ILLUSTRATIONS:
(1) All men are mortal.
(2) All civilized men cook their food.
(3) No dogs are immortal.
(4) Every man was once a boy.
Considering the first proposition, “_mortal_,” the logical predicate,
refers to the whole of the logical subject “_men_.” Similarly “_cook
their food_” refers to the whole of the term “_civilized men_”;
“_immortal_” to the whole of the term “_dogs_,” and “_once a boy_”
to the whole of the term “_man_.”
Public-domain text, read in full here on John Shaqi.
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