A System of Logic: Ratiocinative and Inductive, 7th Edition, Vol. II
John Stuart Mill · en
And we need only consider what comparison is, to see that where the
objects are more than two, and still more when they are an indefinite
number, a type of some sort is an indispensable condition of the
comparison. When we have to arrange and classify a great number of
objects according to their agreements and differences, we do not make a
confused attempt to compare all with all. We know that two things are as
much as the mind can easily attend to at a time, and we therefore fix
upon one of the objects, either at hazard or because it offers in a
peculiarly striking manner some important character, and, taking this as
our standard, compare it with one object after another. If we find a
second object which presents a remarkable agreement with the first,
inducing us to class them together, the question instantly arises, in
what particular circumstances do they agree? and to take notice of these
circumstances is already a first stage of abstraction, giving rise to a
general conception. Having advanced thus far, when we now take in hand a
third object we naturally ask ourselves the question, not merely whether
this third object agrees with the first, but whether it agrees with it
in the same circumstances in which the second did? in other words,
whether it agrees with the general conception which has been obtained by
abstraction from the first and second? Thus we see the tendency of
general conceptions, as soon as formed, to substitute themselves as
types, for whatever individual objects previously answered that purpose
in our comparisons. We may, perhaps, find that no considerable number of
other objects agree with this first general conception; and that we must
drop the conception, and beginning again with a different individual
case, proceed by fresh comparisons to a different general conception.
Sometimes, again, we find that the same conception will serve, by merely
leaving out some of its circumstances; and by this higher effort of
abstraction, we obtain a still more general conception; as in the case
formerly referred to, the scientific world rose from the conception of
poles to the general conception of opposite properties in opposite
directions; or as those South-Sea islanders, whose conception of a
quadruped had been abstracted from hogs (the only animals of that
description which they had seen), when they afterwards compared that
conception with other quadrupeds, dropped some of the circumstances,
and arrived at the more general conception which Europeans associate
with the term.