A System of Logic: Ratiocinative and Inductive, 7th Edition, Vol. II
John Stuart Mill · en
It would thus, in my view of the matter, be an inaccurate mode of
expression to say, that obtaining appropriate conceptions is a condition
precedent to generalization. Throughout the whole process of comparing
phenomena with one another for the purpose of generalization, the mind
is trying to make up a conception; but the conception which it is trying
to make up is that of the really important point of agreement in the
phenomena. As we obtain more knowledge of the phenomena themselves, and
of the conditions on which their important properties depend, our views
on this subject naturally alter; and thus we advance from a less to a
more "appropriate" general conception, in the progress of our
investigations.
We ought not, at the same time, to forget that the really important
agreement cannot always be discovered by mere comparison of the very
phenomena in question, without the aid of a conception acquired
elsewhere; as in the case, so often referred to, of the planetary
orbits.
The search for the agreement of a set of phenomena is in truth very
similar to the search for a lost or hidden object. At first we place
ourselves in a sufficiently commanding position, and cast our eyes round
us, and if we can see the object it is well; if not, we ask ourselves
mentally what are the places in which it may be hid, in order that we
may there search for it: and so on, until we imagine the place where it
really is. And here too we require to have had a previous conception, or
knowledge, of those different places. As in this familiar process, so in
the philosophical operation which it illustrates, we first endeavour to
find the lost object or recognise the common attribute, without
conjecturally invoking the aid of any previously acquired conception, or
in other words, of any hypothesis. Having failed in this, we call upon
our imagination for some hypothesis of a possible place, or a possible
point of resemblance, and then look, to see whether the facts agree with
the conjecture.
For such cases something more is required than a mind accustomed to
accurate observation and comparison. It must be a mind stored with
general conceptions, previously acquired, of the sorts which bear
affinity to the subject of the particular inquiry. And much will also
depend on the natural strength and acquired culture of what has been
termed the scientific imagination; on the faculty possessed of mentally
arranging known elements into new combinations, such as have not yet
been observed in nature, though not contradictory to any known laws.
But the variety of intellectual habits, the purposes which they serve,
and the modes in which they may be fostered and cultivated, are
considerations belonging to the Art of Education: a subject far wider
than Logic, and which this treatise does not profess to discuss. Here,
therefore, the present chapter may properly close.
CHAPTER III.
OF NAMING, AS SUBSIDIARY TO INDUCTION.