introduced and their signification fixed. That the diamond is combustible,
was a proposition certainly not dreamed 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
analyzed, 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’s theory of Predication has not, in the terms in
which he stated it, met with a very favorable 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 any thing 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.