The terms employed are either letters of the alphabet, or the words of
common language, or the technicalities of science; and since the words
of common language are most in use, it is necessary to give some account
of common language as subserving the purposes of Logic. It has been
urged that we cannot think or reason at all without words, or some
substitute for them, such as the signs of algebra; but this is an
exaggeration. Minds greatly differ, and some think by the aid of
definite and comprehensive picturings, especially in dealing with
problems concerning objects in space, as in playing chess blindfold,
inventing a machine, planning a tour on an imagined map. Most people
draw many simple inferences by means of perceptions, or of mental
imagery. On the other hand, some men think a good deal without any
continuum of words and without any imagery, or with none that seems
relevant to the purpose. Still the more elaborate sort of thinking, the
grouping and concatenation of inferences, which we call reasoning,
cannot be carried far without language or some equivalent system of
signs. It is not merely that we need language to express our reasonings
and communicate them to others: in solitary thought we often depend on
words--'talk to ourselves,' in fact; though the words or sentences that
then pass through our minds are not always fully formed or articulated.
In Logic, moreover, we have carefully to examine the grounds (at least
the proximate grounds) of our conclusions; and plainly this cannot be
done unless the conclusions in question are explicitly stated and
recorded.
Conceptualists say that Logic deals not with the process of thinking
(which belongs to Psychology) but with its results; not with conceiving
but with concepts; not with judging but with judgments. Is the concept
self-consistent or adequate? Logic asks; is the judgment capable of
proof? Now, it is only by recording our thoughts in language that it
becomes possible to distinguish between the process and the result of
thought. Without language, the act and the product of thinking would be
identical and equally evanescent. But by carrying on the process in
language and remembering or otherwise recording it, we obtain a result
which may be examined according to the principles of Logic.
§ 2. As Logic, then, must give some account of language, it seems
desirable to explain how its treatment of language differs from that of
Grammar and from that of Rhetoric.
Grammar is the study of the words of some language, their classification
and derivation, and of the rules of combining them, according to the
usage at any time recognised and followed by those who are considered
correct writers or speakers. Composition may be faultless in its
grammar, though dull and absurd.
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