A System of Logic: Ratiocinative and Inductive, 7th Edition, Vol. I
John Stuart Mill · en
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 undefined 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, by some logicians, 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.[16]