A System of Logic: Ratiocinative and Inductive, 7th Edition, Vol. I
John Stuart Mill · en
when the names were introduced and their signification fixed. That the
diamond is combustible, was a proposition certainly not dreamt of when
the words Diamond and Combustible first received their meaning; and
could not have been discovered by the most ingenious and refined
analysis of the signification of those words. It was found out by a very
different process, namely, by exerting the senses, and learning from
them, that the attribute of combustibility existed in the diamonds upon
which the experiment was tried; the number or character of the
experiments being such, that what was true of those individuals might be
concluded to be true of all substances "called by the name," that is, of
all substances possessing the attributes which the name connotes. The
assertion, therefore, when analysed, is, that wherever we find certain
attributes, there will be found a certain other attribute: which is not
a question of the signification of names, but of laws of nature; the
order existing among phenomena.
§ 3. Although Hobbes' theory of Predication has not, in the terms in
which he stated it, met with a very favourable reception from subsequent
thinkers, a theory virtually identical with it, and not by any means so
perspicuously expressed, may almost be said to have taken the rank of an
established opinion. The most generally received notion of Predication
decidedly is that it consists in referring something to a class, _i.e._,
either placing an individual under a class, or placing one class under
another class. Thus, the proposition, Man is mortal, asserts, according
to this view of it, that the class man is included in the class mortal.
"Plato is a philosopher," asserts that the individual Plato is one of
those who compose the class philosopher. If the proposition is negative,
then instead of placing something in a class, it is said to exclude
something from a class. Thus, if the following be the proposition, The
elephant is not carnivorous; what is asserted (according to this theory)
is, that the elephant is excluded, from the class carnivorous, or is not
numbered among the things comprising that class. There is no real
difference, except in language, between this theory of Predication and
the theory of Hobbes. For a class _is_ absolutely nothing but an
indefinite number of individuals denoted by a general name. The name
given to them in common, is what makes them a class. To refer anything
to a class, therefore, is to look upon it as one of the things which are
to be called by that common name. To exclude it from a class, is to say
that the common name is not applicable to it.