Fundamental Philosophy, Vol. 2 (of 2)Balmes, Jaime Luciano
Philosophy
Fundamental Philosophy, Vol. 2 (of 2)
Balmes, Jaime Luciano
Philosophy, Spanish
The objection was, that as the idea of impenetrability is not
contained in the conception of a solid, we may imagine an infinite
series of infinites placed one inside of another. This difficulty
is only conclusive when speaking of the conception of a solid which
contains something more than the pure idea of extension. The idea of
extension necessarily implies that some parts are _outside_ of others,
and it is not possible to conceive extension otherwise. It is certain
that a body may be situated in a part of space; taking from this body
its impenetrability, we may put another body in the same place, and so
on to infinity; but in that case we conceive something besides pure
extension, we unite something, although in a general and indeterminate
manner, to the idea of things situated in space; otherwise we should
not distinguish the space, representing pure extension, from the solids
placed in it, nor should we distinguish these solids from one another,
if we did not recognize in them some difference, although general and
undetermined.
79. It seems most probable that the pure idea of an infinite extension
is contained in the idea of an infinite size, which is nothing more
than the idea of space. Whatever else is introduced into the idea is
a foreign element, adding to pure extension something which does not
belong to it, such is the difference between extended beings, although
conceived in an indeterminate manner.
CHAPTER XI.
POSSIBILITY OF INFINITE EXTENSION.
80. What are we to think as to the possibility of the infinities which
we conceive? Let us examine the question.
Is an infinite extension possible? There is no incompatibility between
the idea of extension and the negation of limit, at least, according
to our way of conceiving them. It is more difficult for us to conceive
extension absolutely limited, than to conceive it unlimited: beyond all
limit, we imagine space without end.
81. Neither do we discover any impossibility in the existence of
an unlimited extension, if we consider the question in relation to
the divine omnipotence. Beyond all extension God can create another
extension; if we suppose that he has applied his creative power to all
the extension possible, he must have created an infinite extension.
82. Here a difficulty arises. If God had created an infinite extension
he could not create another extension; his power would be exhausted,
and consequently it would not be infinite.
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