A System of Logic: Ratiocinative and Inductive, 7th Edition, Vol. II
John Stuart Mill · en
The function of Naming, and particularly of General Names, in Induction,
may be recapitulated as follows. Every inductive inference which is good
at all, is good for a whole class of cases: and, that the inference may
have any better warrant of its correctness than the mere clinging
together of two ideas, a process of experimentation and comparison is
necessary; in which the whole class of cases must be brought to view,
and some uniformity in the course of nature evolved and ascertained,
since the existence of such an uniformity is required as a
justification for drawing the inference in even a single case. This
uniformity, therefore, may be ascertained once for all; and if, being
ascertained, it can be remembered, it will serve as a formula for
making, in particular cases, all such inferences as the previous
experience will warrant. But we can only secure its being remembered, or
give ourselves even a chance of carrying in our memory any considerable
number of such uniformities, by registering them through the medium of
permanent signs; which (being, from the nature of the case, signs not of
an individual fact, but of an uniformity, that is, of an indefinite
number of facts similar to one another) are general signs; universals;
general names, and general propositions.
§ 4. And here I cannot omit to notice an oversight committed by some
eminent thinkers; who have said that the cause of our using general
names is the infinite multitude of individual objects, which, making it
impossible to have a name for each, compels us to make one name serve
for many. This is a very limited view of the function of general names.
Even if there were a name for every individual object, we should require
general names as much as we now do. Without them we could not express
the result of a single comparison, nor record any one of the
uniformities existing in nature; and should be hardly better off in
respect to Induction than if we had no names at all. With none but names
of individuals, (or in other words, proper names,) we might, by
pronouncing the name, suggest the idea of the object, but we could not
assert any proposition; except the unmeaning ones formed by predicating
two proper names one of another. It is only by means of general names
that we can convey any information, predicate any attribute, even of an
individual, much more of a class. Rigorously speaking we could get on
without any other general names than the abstract names of attributes;
all our propositions might be of the form "such an individual object
possesses such an attribute," or "such an attribute is always (or never)
conjoined with such another attribute." In fact, however, mankind have
always given general names to objects as well as attributes, and indeed
before attributes: but the general names given to objects imply
attributes, derive their whole meaning from attributes; and are chiefly
useful as the language by means of which we predicate the attributes
which they connote.