A System of Logic, Ratiocinative and Inductive (Vol. 1 of 2)Mill, John Stuart
Philosophy
A System of Logic, Ratiocinative and Inductive (Vol. 1 of 2)
Mill, John Stuart
Knowledge, Theory of; Logic; Science -- Methodology
When the name which is the subject of the proposition is a general name,
we may intend to affirm or deny the predicate, either of _all_ the things
that the subject denotes, or only of some. When the predicate is affirmed
or denied of all and each of the things denoted by the subject, the
proposition is universal; when of some non-assignable portion of them
only, it is particular. Thus, All men are mortal; Every man is mortal; are
universal propositions. No man is immortal, is also an universal
proposition, since the predicate, immortal, is denied of each and every
individual denoted by the term man; the negative proposition being exactly
equivalent to the following, Every man is not-immortal. But “some men are
wise,” “some men are not wise,” are particular propositions; the predicate
_wise_ being in the one case affirmed and in the other denied not of each
and every individual denoted by the term man, but only of each and every
one of some portion of those individuals, without specifying what portion;
for if this were specified, the proposition would be changed either into a
singular proposition, or into an universal proposition with a different
subject; as, for instance, “all _properly instructed_ men are wise.” There
are other forms of particular propositions: as, “_Most_ men are
imperfectly educated:” it being immaterial how large a portion of the
subject the predicate is asserted of, as long as it is left uncertain how
that portion is to be distinguished from the rest.
When the form of the expression does not clearly show whether the general
name which is the subject of the proposition is meant to stand for all the
individuals denoted by it, or only for some of them, the proposition is
commonly called Indefinite; but this, as Archbishop Whately observes, is a
solecism, of the same nature as that committed by some grammarians when in
their list of genders they enumerate the _doubtful_ gender. The speaker
must mean to assert the proposition either as an universal or as a
particular proposition, though he has failed to declare which: and it
often happens that though the words do not show which of the two he
intends, the context, or the custom of speech, supplies the deficiency.
Thus, when it is affirmed that “Man is mortal,” nobody doubts that the
assertion is intended of all human beings, and the word indicative of
universality is commonly omitted, only because the meaning is evident
without it. In the proposition, “Wine is good,” it is understood with
equal readiness, though for somewhat different reasons, that the assertion
is not intended to be universal, but particular.
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