The Catholic World, Vol. 20, October 1874‐March 1875Various
Religion
The Catholic World, Vol. 20, October 1874‐March 1875
Various
Catholic Church -- Periodicals
The answer to this objection is not difficult. From the fact that the
active powers virtually extend through an indefinite sphere and act
everywhere in accordance with the Newtonian law, it is impossible to prove
that material elements possess a power of infinite intensity. We concede,
of course, that in an indefinite sphere “an infinite multitude of
concentric spherical surfaces can be conceived, to every one of which the
active power of the element can be applied for the production of a finite
effect.” We also concede that “the finite taken an infinite number of
times gives infinity.” But when it is argued that therefore “the total
action of an element in its sphere will be infinite,” we must distinguish.
The total action will be infinite in this sense: that it would reach an
infinite multitude of terms, if they existed in its sphere, and produce in
each of them a determinate effect, according to their distance—this we
concede. The total action will be infinite—that is, the total effort of
the element will be infinitely intense; this we deny. The schoolmen would
briefly answer that the action will be infinite _terminative_, but not
_intensive_. This distinction, which entirely upsets the objection, needs
a few words of explanation.
In the action of one element upon another the power of the agent, while
exerted on the patient, is not prevented from exerting itself at the very
same time upon any other element existing in its sphere of activity. This
is a well‐known physical law. Hence the same element can emit a thousand
actions simultaneously, without possessing a thousand powers or a
thousandfold power, by the simultaneous application of its single power to
a thousand different terms. The actions of an agent are therefore
indefinitely multiplied by the mere multiplication of the terms, with no
multiplication of the active power; and accordingly an active power of
finite intensity may have an infinite applicability. This is true of all
created powers. Our intellect, for instance, is substantially finite, and
yet it can investigate and understand any number of intelligible objects.
This amounts to saying that, if there is no limit to possible intellectual
conceptions, there is no limit to the number of intelligible terms; but
from this fact it would be absurd to infer that a created intellect has a
power of infinite intensity. In like manner, the motive power of a
material element is substantially finite, and yet it can be applied to the
production of a number of movements which has no limit but the number of
the terms capable of receiving the motion. The infinity of the total
action is therefore grounded on an assumed infinity of terms, not on an
infinite intensity of the power.
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