A System of Logic: Ratiocinative and Inductive, 7th Edition, Vol. IIMill, John Stuart
Philosophy
A System of Logic: Ratiocinative and Inductive, 7th Edition, Vol. II
Mill, John Stuart
Knowledge, Theory of; Logic; Science -- Methodology
§ 2. We shall next advert to a rather more intricate operation of the
same principle, namely, when the cause does not merely continue in
action, but undergoes, during the same time, a progressive change in
those of its circumstances which contribute to determine the effect. In
this case, as in the former, the total effect goes on accumulating by
the continual addition of a fresh effect to that already produced, but
it is no longer by the addition of equal quantities in equal times; the
quantities added are unequal, and even the quality may now be different.
If the change in the state of the permanent cause be progressive, the
effect will go through a double series of changes, arising partly from
the accumulated action of the cause, and partly from the changes in its
action. The effect is still a progressive effect, produced however, not
by the mere continuance of a cause, but by its continuance and its
progressiveness combined.
A familiar example is afforded by the increase of the temperature as
summer advances, that is, as the sun draws nearer to a vertical
position, and remains a greater number of hours above the horizon. This
instance exemplifies in a very interesting manner the twofold operation
on the effect, arising from the continuance of the cause, and from its
progressive change. When once the sun has come near enough to the
zenith, and remains above the horizon long enough, to give more warmth
during one diurnal rotation than the counteracting cause, the earth's
radiation, can carry off, the mere continuance of the cause would
progressively increase the effect, even if the sun came no nearer and
the days grew no longer; but in addition to this, a change takes place
in the accidents of the cause (its series of diurnal positions), tending
to increase the quantity of the effect. When the summer solstice has
passed, the progressive change in the cause begins to take place the
reverse way; but, for some time, the accumulating effect of the mere
continuance of the cause exceeds the effect of the changes in it, and
the temperature continues to increase.
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