The words _Many_, _Most_, _Few_ are generally interpreted to mean
_Some_; but as _Most_ signifies that exceptions are known, and _Few_
that the exceptions are the more numerous, propositions thus
predesignate are in fact exponibles, mounting to _Some are_ and _Some
are not_. If to work with both forms be too cumbrous, so that we must
choose one, apparently _Few are_ should be treated as _Some are not_.
The scientific course to adopt with propositions predesignate by _Most_
or _Few_, is to collect statistics and determine the percentage; thus,
_Few men are wise_--say 2 per cent.
The Quantity of a proposition, then, is usually determined entirely by
the quantity of the subject, whether _all_ or _some_. Still, the
quantity of the predicate is often an important consideration; and
though in ordinary usage the predicate is seldom predesignate, Logicians
agree that in every Negative Proposition (see § 2) the predicate is
'distributed,' that is to say, is denied altogether of the subject, and
that this is involved in the form of denial. To say _Some men are not
brave_, is to declare that the quality for which men may be called brave
is not found in any of the _Some men_ referred to: and to say _No men
are proof against flattery_, cuts off the being 'proof against flattery'
entirely from the list of human attributes. On the other hand, every
Affirmative Proposition is regarded as having an undistributed
predicate; that is to say, its predicate is not affirmed exclusively of
the subject. _Some men are wise_ does not mean that 'wise' cannot be
predicated of any other beings; it is equivalent to _Some men are wise_
(_whoever else may be_). And _All elephants are sagacious_ does not
limit sagacity to elephants: regarding 'sagacious' as possibly denoting
many animals of many species that exhibit the quality, this proposition
is equivalent to '_All elephants are_ some _sagacious animals_.' The
affirmative predication of a quality does not imply exclusive possession
of it as denial implies its complete absence; and, therefore, to regard
the predicate of an affirmative proposition as distributed would be to
go beyond the evidence and to take for granted what had never been
alleged.
Some Logicians, seeing that the quantity of predicates, though not
distinctly expressed, is recognised, and holding that it is the part of
Logic "to make explicit in language whatever is implicit in thought,"
have proposed to exhibit the quantity of predicates by predesignation,
thus: 'Some men are _some_ wise (beings)'; 'some men are not _any_ brave
(beings)'; etc. This is called the Quantification of the Predicate,
and leads to some modifications of Deductive Logic which will be
referred to hereafter. (See § 3; chap. vii. § 4, and chap. viii. § 3.)
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