The whole subject rests ultimately on the Newtonian laws of motion and
on some natural extensions of them. As these laws are discussed under a
separate heading (MOTION, LAWS OF), it is here only necessary to
indicate the standpoint from which the present article is written. It is
a purely empirical one. Guided by experience, we are able to frame
rules which enable us to say with more or less accuracy what will be the
consequences, or what were the antecedents, of a given state of things.
These rules are sometimes dignified by the name of "laws of nature," but
they have relation to our present state of knowledge and to the degree
of skill with which we have succeeded in giving more or less compact
expression to it. They are therefore liable to be modified from time to
time, or to be superseded by more convenient or more comprehensive modes
of statement. Again, we do not aim at anything so hopeless, or indeed so
useless, as a _complete_ description of any phenomenon. Some features
are naturally more important or more interesting to us than others; by
their relative simplicity and evident constancy they have the first hold
on our attention, whilst those which are apparently accidental and vary
from one occasion to another arc ignored, or postponed for later
examination. It follows that for the purposes of such description as is
possible some process of abstraction is inevitable if our statements are
to be simple and definite. Thus in studying the flight of a stone
through the air we replace the body in imagination by a mathematical
point endowed with a mass-coefficient. The size and shape, the
complicated spinning motion which it is seen to execute, the internal
strains and vibrations which doubtless take place, are all sacrificed in
the mental picture in order that attention may be concentrated on those
features of the phenomenon which are in the first place most interesting
to us. At a later stage in our subject the conception of the ideal rigid
body is introduced; this enables us to fill in some details which were
previously wanting, but others are still omitted. Again, the conception
of a force as concentrated in a mathematical line is as unreal as that
of a mass concentrated in a point, but it is a convenient fiction for
our purpose, owing to the simplicity which it lends to our statements.
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