A System of Logic: Ratiocinative and Inductive, 7th Edition, Vol. II
John Stuart Mill · en
[2] Mr. Bailey has given by far the best statement of this theory. "The
general name," he says, "raises up the image sometimes of one individual
of the class formerly seen, sometimes of another, not unfrequently of
many individuals in succession; and it sometimes suggests an image made
up of elements from several different objects, by a latent process of
which I am not conscious." (Letters on the Philosophy of the Human Mind,
1st series, letter 22.) But Mr. Bailey must allow that we carry on
inductions and ratiocinations respecting the class, by means of this
idea or conception of some one individual in it. This is all I require.
The name of a class calls up some idea, through which we can, to all
intents and purposes, think of the class as such, and not solely of an
individual member of it.
[3] I have entered rather fully into this question in chap. xvii. of _An
Examination of Sir William Hamilton's Philosophy_, headed "The Doctrine
of Concepts or General Notions," which contains my last views on the
subject.
[4] Other examples of inappropriate conceptions are given by Dr. Whewell
(_Phil. Ind. Sc._ ii. 185) as follows:--"Aristotle and his followers
endeavoured in vain to account for the mechanical relation of forces in
the lever, by applying the _inappropriate_ geometrical conceptions of
the properties of the circle: they failed in explaining the _form_ of
the luminous spot made by the sun shining through a hole, because they
applied the _inappropriate_ conception of a circular _quality_ in the
sun's light: they speculated to no purpose about the elementary
composition of bodies, because they assumed the _inappropriate_
conception of _likeness_ between the elements and the compound, instead
of the genuine notion of elements merely _determining_ the qualities of
the compound." But in these cases there is more than an inappropriate
conception; there is a false conception; one which has no prototype in
nature, nothing corresponding to it in facts. This is evident in the
last two examples, and is equally true in the first; the "properties of
the circle" which were referred to, being purely fantastical. There is,
therefore, an error beyond the wrong choice of a principle of
generalization; there is a false assumption of matters of fact. The
attempt is made to resolve certain laws of nature into a more general
law, that law not being one which, though real, is inappropriate, but
one wholly imaginary.
[5] Professor Bain.