A System of Logic: Ratiocinative and Inductive, 7th Edition, Vol. I
John Stuart Mill · en
Dr. Whewell calls nothing Induction where there is not a new mental
conception introduced, and everything induction where there is. But this
is to confound two very different things, Invention and Proof. The
introduction of a new conception belongs to Invention: and invention may
be required in any operation, but is the essence of none. A new
conception may be introduced for descriptive purposes, and so it may for
inductive purposes. But it is so far from constituting induction, that
induction does not necessarily stand in need of it. Most inductions
require no conception but what was present in every one of the
particular instances on which the induction is grounded. That all men
are mortal is surely an inductive conclusion; yet no new conception is
introduced by it. Whoever knows that any man has died, has all the
conceptions involved in the inductive generalization. But Dr. Whewell
considers the process of invention which consists in framing a new
conception consistent with the facts, to be not merely a necessary part
of all induction, but the whole of it.
The mental operation which extracts from a number of detached
observations certain general characters in which the observed phenomena
resemble one another, or resemble other known facts, is what Bacon,
Locke, and most subsequent metaphysicians, have understood by the word
Abstraction. A general expression obtained by abstraction, connecting
known facts by means of common characters, but without concluding from
them to unknown, may, I think, with strict logical correctness, be
termed a Description; nor do I know in what other way things can ever be
described. My position, however, does not depend on the employment of
that particular word; I am quite content to use Dr. Whewell's term
Colligation, or the more general phrases, "mode of representing, or of
expressing, phenomena:" provided it be clearly seen that the process is
not Induction, but something radically different.
What more may usefully be said on the subject of Colligation, or of the
correlative expression invented by Dr. Whewell, the Explication of
Conceptions, and generally on the subject of ideas and mental
representations as connected with the study of facts, will find a more
appropriate place in the Fourth Book, on the Operations Subsidiary to
Induction: to which I must refer the reader for the removal of any
difficulty which the present discussion may have left.
CHAPTER III.
OF THE GROUND OF INDUCTION.
§ 1. Induction properly so called, as distinguished from those mental
operations, sometimes though improperly designated by the name, which I
have attempted in the preceding chapter to characterize, may, then, be
summarily defined as Generalization from Experience. It consists in
inferring from some individual instances in which a phenomenon is
observed to occur, that it occurs in all instances of a certain class;
namely, in all which _resemble_ the former, in what are regarded as the
material circumstances.