SS 2. Metaphysical Exposition of this Conception.
BY means of the external sense (a property of the mind), we
represent to ourselves objects as without us, and these all in
space. Herein alone are their shape, dimensions, and relations to each
other determined or determinable. The internal sense, by means of
which the mind contemplates itself or its internal state, gives,
indeed, no intuition of the soul as an object; yet there is
nevertheless a determinate form, under which alone the contemplation
of our internal state is possible, so that all which relates to the
inward determinations of the mind is represented in relations of time.
Of time we cannot have any external intuition, any more than we can
have an internal intuition of space. What then are time and space? Are
they real existences? Or, are they merely relations or
determinations of things, such, however, as would equally belong to
these things in themselves, though they should never become objects of
intuition; or, are they such as belong only to the form of
intuition, and consequently to the subjective constitution of the
mind, without which these predicates of time and space could not be
attached to any object? In order to become informed on these points,
we shall first give an exposition of the conception of space. By
exposition, I mean the clear, though not detailed, representation of
that which belongs to a conception; and an exposition is
metaphysical when it contains that which represents the conception
as given a priori.
1. Space is not a conception which has been derived from outward
experiences. For, in order that certain sensations may relate to
something without me (that is, to something which occupies a different
part of space from that in which I am); in like manner, in order
that I may represent them not merely as without, of, and near to
each other, but also in separate places, the representation of space
must already
exist as a foundation. Consequently, the representation
of space cannot be borrowed from the relations of external phenomena
through experience; but, on the contrary, this external experience
is itself only possible through the said antecedent representation.
2. Space then is a necessary representation a priori, which serves
for the foundation of all external intuitions. We never can imagine or
make a representation to ourselves of the non—existence of space,
though we may easily enough think that no objects are found in it.
It must, therefore, be considered as the condition of the
possibility of phenomena, and by no means as a determination dependent
on them, and is a representation a priori, which necessarily
supplies the basis for external phenomena.
3. Space is no discursive, or as we say, general conception of the
relations of things, but a pure intuition. For, in the first place, we
can only represent to ourselves one space, and, when we talk of divers
spaces, we mean only parts of one and the same space. Moreover,
these parts cannot antecede this one all—embracing space, as the
component parts from which the aggregate can be made up, but can be
cogitated only as existing in it. Space is essentially one, and
multiplicity in it, consequently the general notion of spaces, of this
or that space, depends solely upon limitations. Hence it follows
that an a priori intuition (which is not empirical) lies at the root
of all our conceptions of space. Thus, moreover, the principles of
geometry— for example, that "in a triangle, two sides together are
greater than the third," are never deduced from general conceptions of
line and triangle, but from intuition, and this a priori, with
apodeictic certainty.
4. Space is represented as an infinite given quantity. Now every
conception must indeed be considered as a representation which is
contained in an infinite multitude of different possible
representations, which, therefore, comprises these under itself; but
no conception, as such, can be so conceived, as if it contained within
itself an infinite multitude of representations. Nevertheless, space
is so conceived of, for all parts of space are equally capable of
being produced to infinity. Consequently, the original
representation of space is an intuition a priori, and not a
conception.