Fundamental Philosophy, Vol. 2 (of 2)Balmes, Jaime Luciano
Philosophy
Fundamental Philosophy, Vol. 2 (of 2)
Balmes, Jaime Luciano
Philosophy, Spanish
85. Extension is a property of a finite substance, and that which
belongs to a finite thing cannot be infinite; therefore it is
impossible to conceive infinity of any kind in a finite being. This
argument is not conclusive. It is true that an extended substance is
finite, in the sense that it does not possess absolute infinity such
as is conceived in the Supreme Being; but it does not follow from
this that it cannot be infinite under certain aspects. Neither is it
correct to say that no finite substance can have an infinite property,
because the properties flow from the substance, and the infinite cannot
proceed from the finite. In order that this argument may be valid, it
is necessary to prove that all the properties of a being emanate from
its substance: figures are accidental properties of bodies, and yet
many of them have no relation to the substance, and are mere accidents
which appear or disappear, not by the internal force of the substance,
but by the action of an external cause. We see extension in bodies; but
as we know not the essence of corporeal substance, we cannot say how
far this property is connected with the substance, whether it is an
emanation from it, or only something which has been given to it and may
be taken from it without any essential alteration.[39]
[39] See Bk. III., Chaps. XIX., XXI., XXIV., XXV., XXVI., XXVII. and
XXVIII.
Moreover, when we say that the infinite cannot proceed from the finite,
we do not deny that an infinite property may proceed from a substance
finite in its essence.
When we admit the infinite property, we admit at the same time all that
is necessary in the substance in order that this property may have its
root in it, so long as we do not deny the character of finite which
essentially belongs to every creature. When we deny that creatures are
or can be infinite, we speak of essential infinity, of that infinity
which implies necessity of being and absolute independence under every
aspect; but we do not deny them a relative infinity, such as that of
extension.
To undertake to prove that infinite extension is impossible, because
every property of a finite substance must be finite, is equivalent
to supposing the very thing in dispute; for the precise question is,
whether one of these properties, namely, extension, can be infinite. In
order to establish the negative proposition, "No property of a finite
substance can be infinite," it is necessary to prove this of extension.
Hence the argument which we are imposing implies, in some manner, a
begging of the question, when they found it on a general proposition
which can only be certain when the present question is solved.
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