Dr. Whewell says that conceptions must be _appropriate_ and _clear_.
They must, indeed, be appropriate relatively to the purpose in view (for
appropriateness is only relative); but they cannot avoid being
appropriate (though one may be more so than another) if our comparison
of the objects has led to a conception corresponding to any real
agreement in the facts: the ancients' and schoolmen's conceptions were
often absolutely inappropriate, because grounded on only apparent
agreement. So, again, they must be _clear_ in the following sense; that
is to say, a _sufficient number_ of facts must have been _carefully
observed_, and accurately _remembered_. It is also a condition (and one
implied in the latter qualities) of clearness, that the conception
should be _determinate_, that is, that we should know precisely what
agreements we include in it, and never vary the connotation except
consciously.
Activity, carefulness, and accuracy in the observing and comparing
faculties are therefore needed; the first quality to produce
appropriateness, and the latter two, clearness. Moreover, _scientific
imagination_, i.e. the faculty of mentally arranging known elements into
new combinations, is necessary for forming true conceptions; and the
mind should be stored with previously acquired conceptions, kindred to
the subject of inquiry, since a comparison of the facts themselves often
fails to suggest the principle of their agreement; just as, in seeking
for anything lost, we often have to ask ourselves in what places it may
be hid, that we may search for it there.
CHAPTER III.
NAMING AS SUBSIDIARY TO INDUCTION.
As reasoning is from particulars to particulars, and consists simply in
recognising one fact as a mark of another, or a mark of a mark of
another, the only necessary conditions of the exertion of the reasoning
power are senses, to perceive that two facts are conjoined; and
association, as the law by which one of the two facts raises up the idea
of the other. The existence of artificial signs is not a third
_necessary_ condition. It is only, however, the rudest inductions (and
of such even brutes are capable) that can be made without language or
other artificial signs. Without such we could avail ourselves but little
of the experience of others; and (except in cases involving our intenser
sensations or emotions) of none of our own long past experience. It is
only through the medium of such permanent signs that we can register
uniformities; and the existence of uniformities is necessary to justify
an inference, even in a single case, and they can be ascertained once
for all.