A System of Logic: Ratiocinative and Inductive, 7th Edition, Vol. I — John Stuart Mill — John Shaqi
A System of Logic: Ratiocinative and Inductive, 7th Edition, Vol. I
John Stuart Mill · en
This opinion was held by the ancient philosophers, and by their
followers, with the exception of the Nominalists; but as the spirit of
modern metaphysics, until a recent period, has been on the whole a
Nominalist spirit, the notion of definitions of things has been to a
certain extent in abeyance, still continuing, however, to breed
confusion in logic, by its consequences indeed rather than by itself.
Yet the doctrine in its own proper form now and then breaks out, and has
appeared (among other places) where it was scarcely to be expected, in a
justly admired work, Archbishop Whately's _Logic_.[27] In a review of
that work published by me in the _Westminster Review_ for January 1828,
and containing some opinions which I no longer entertain, I find the
following observations on the question now before us; observations with
which my present view of that question is still sufficiently in
accordance.
"The distinction between nominal and real definitions, between
definitions of words and what are called definitions of things, though
conformable to the ideas of most of the Aristotelian logicians, cannot,
as it appears to us, be maintained. We apprehend that no definition is
ever intended to 'explain and unfold the nature of a thing.' It is some
confirmation of our opinion, that none of those writers who have thought
that there were definitions of things, have ever succeeded in
discovering any criterion by which the definition of a thing can be
distinguished from any other proposition relating to the thing. The
definition, they say, unfolds the nature of the thing: but no definition
can unfold its whole nature; and every proposition in which any quality
whatever is predicated of the thing, unfolds some part of its nature.
The true state of the case we take to be this. All definitions are of
names, and of names only; but, in some definitions, it is clearly
apparent, that nothing is intended except to explain the meaning of the
word; while in others, besides explaining the meaning of the word, it is
intended to be implied that there exists a thing, corresponding to the
word. Whether this be or be not implied in any given case, cannot be
collected from the mere form of the expression. 'A centaur is an animal
with the upper parts of a man and the lower parts of a horse,' and 'A
triangle is a rectilineal figure with three sides,' are, in form,
expressions precisely similar; although in the former it is not implied
that any _thing_, conformable to the term, really exists, while in the
latter it is; as may be seen by substituting, in both definitions, the
word _means_ for _is_. In the first expression, 'A centaur means an
animal,' &c., the sense would remain unchanged: in the second, 'A
triangle means,' &c., the meaning would be altered, since it would be
obviously impossible to deduce any of the truths of geometry from a
proposition expressive only of the manner in which we intend to employ a
particular sign.