To this, the obvious and only answer is, that we must
compare causes by means of their effects;--that we must
compare force by something which force can do. The child can
lift one fagot; the man can lift ten such fagots: we have
here a means of comparison. And whether or not the rule is
to be applied in this manner, that is, by the number of
things operated on, (a question which we shall have to
consider hereafter,) it is clear that this form of rule,
namely, a reference to some effect or other as our measure,
is the right, because the only possible form. The cause
determines the effect. The cause being the same, the effect
must be the same. The connexion of the two is governed by a
fixed and inviolable rule. It admits of no ambiguity. Every
degree of intensity in the cause has some peculiar
modification of the effect corresponding to it. Hence the
effect is an unfailing index of the amount of the cause; and
if it be a measurable effect, gives a measure of the cause.
We can have no other measure; but we need no other, for this
is exact, sufficient and complete.
It may be said, that various effects are produced by the
same cause. The sun's heat melts wax and expands
quicksilver. The force of gravity causes bodies to move
downwards if they are free, and to press down upon their
supports if they are supported. Which of the effects is to
be taken as the measure of heat, or of gravity, in these
cases? To this we reply, that if we had merely different
states of the same cause to compare, any of the effects
might be taken. The sun's heat on different days might be
measured by the expansion of quicksilver, or by the quantity
of wax melted. The force of gravity, if it were different at
different places, might be measured by the spaces through
which a given weight would bend an elastic {187} support, or
by the spaces through which a body would fall in a given
time. All these measures are consistent with the general
character of our idea of cause.
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