The principles which a prominent political economist, E. Hermann,[64]
has formulated for the economy of the industrial arts, are also
applicable to the ideas of common life and of science. The economy of
language is augmented, of course, in the terminology of science. With
respect to the economy of written intercourse there is scarcely a doubt
that science itself will realise that grand old dream of the
philosophers of a Universal Real Character. That time is not far
distant. Our numeral characters, the symbols of mathematical analysis,
chemical symbols, and musical notes, which might easily be supplemented
by a system of color-signs, together with some phonetic alphabets now in
use, are all beginnings in this direction. The logical extension of what
we have, joined with a use of the ideas which the Chinese ideography
furnishes us, will render the special invention and promulgation of a
Universal Character wholly superfluous.
The communication of scientific knowledge always involves description,
that is, a mimetic reproduction of facts in thought, the object of which
is to replace and save the trouble of new experience. Again, to save the
labor of instruction and of acquisition, concise, abridged description
is sought. This is really all that natural laws are. Knowing the value
of the acceleration of gravity, and Galileo's laws of descent, we
possess simple and compendious directions for reproducing in thought all
possible motions of falling bodies. A formula of this kind is a complete
substitute for a full table of motions of descent, because by means of
the formula the data of such a table can be easily constructed at a
moment's notice without the least burdening of the memory.
No human mind could comprehend all the individual cases of refraction.
But knowing the index of refraction for the two media presented, and the
familiar law of the sines, we can easily reproduce or fill out in
thought every conceivable case of refraction. The advantage here
consists in the disburdening of the memory; an end immensely furthered
by the written preservation of the natural constants. More than this
comprehensive and condensed report about facts is not contained in a
natural law of this sort. In reality, the law always contains less than
the fact itself, because it does not reproduce the fact as a whole but
only in that aspect of it which is important for us, the rest being
either intentionally or from necessity omitted. Natural laws may be
likened to intellectual type of a higher order, partly movable, partly
stereotyped, which last on new editions of experience may become
downright impediments.
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