In the going of a clock, the parts are in motion; and these
motions are determined by forces arising from the form and
connexion of the parts of the mechanism. Each of the forces
thus exerted at any instant produces its effect at the same
instant; and thus, so far as the term _cause_ refers to such
instantaneous forces, the cause and the effect are
simultaneous. But if such instantaneous forces act at
successive intervals of time, the motion during each
interval is unaltered, and by its uniform progress measures
the progress of time. And thus the motion of the machine
consists of a series of intervals, during each of which the
motion is uniform, and measures the time; separated from
each other by a series of changes, at each of which the
change measures the instantaneous force, and is simultaneous
with it. And if, in this case, we suppose, at any point of
time, the instantaneous forces to cease, the succession of
them being terminated, from that point of time the motion
would be uniform. And since the rate of the motion in each
interval of time is determined by the instantaneous force
which last acted and by the preceding motion, the rate of
the motion in each interval of time is determined by all the
preceding instantaneous forces. Hence, when the series of
instantaneous forces stops, the rate at which the motion
goes on permanently, from that point of time, is determined
by the antecedent series of such forces, which series may be
considered as an aggregate cause; and hence it appears, that
the _permanent_ effect is determined by the _aggregate_
cause; and in this sense the effect is subsequent to the
cause.
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