An introductory text-book of logic - Mellone, Sydney - Rare Books at ...

IMPORT OF PROPOSITIONS AND JUDGMENTS. 99
is called the class view. Both
explained (ch. III. 5),
S and P are regarded as names of classes or groups
of individuals, one of which is wholly or partly included
in or excluded from the other by the proposition. In
order to represent these relations properly, the predicate
should be quantified for the same reason as the subject,
for both are taken in extension. Representing the
classes S and P by circles, we find that the possible
relations (of inclusion and exclusion) between them are
five in number.
Fig. 9. Fig. 10. Fig. ii.
Fig. 12. Fig. 13.
Now if we assume that
limited to its colloquial meaning of
"
"
some
shall be strictly
"
"
some some
only,"
but not all," then each of these diagrams may be ex
pressed fully and without ambiguity by a single proposi
tion, if we quantify the predicate. 1
1 The doctrine called by Hamilton "Quantification
Predicate" will be explained and criticised below.
of the