Kant offers no proof of his assertion that space can be intuited in
image as empty of all sensible content; and as a matter of fact the
assertion is false. Doubtless the use of the vague term _Vorstellung_ is
in great part responsible for Kant’s mistaken position. So long as
imagination and thought are not clearly distinguished, the assertion is
correspondingly indefinite. Pure space may possibly be _conceived_, but
it can also be conceived as altogether non-existent. If, on the other
hand, our imaginative power is alone in question, the asserted fact
must be categorically denied. With the elimination of all sensible
content space itself ceases to be a possible image. Kant’s proof thus
rests upon a misstatement of fact.
In a second respect Kant’s proof is open to criticism. He takes the
impossibility of imagining space as absent as proof that it originates
from within. The argument is valid only if no other psychological
explanation can be given of this necessity, as for instance through
indissoluble association or through its being an invariable element in
the given sensations. Kant’s ignoring of these possibilities is due to
his unquestioning belief that sensations are non-spatial, purely
qualitative. That is a presupposition whose truth is necessary to the
cogency of the argument.
=Third Argument.=--This argument, which was omitted in the second edition,
will be considered in its connection with the transcendental exposition
into which it was then merged.
=Fourth (in second edition, Third) Argument.=--The next two arguments seek
to show that space is not a discursive or general concept but an
intuition. The first proof falls into two parts, (_a_) We can represent
only a single space. For though we speak of many spaces, we mean only
parts of one and the same single space. Space must therefore be an
intuition. For only intuition is thus directly related to a single
individual. A concept always refers indirectly, _per notas communes_, to
a plurality of individuals. (_b_) The parts of space cannot precede the
one all-comprehensive space. They can be thought only in and through it.
They arise through limitation of it. Now the parts (_i.e._ the
attributes) which compose a concept precede it in thought. Through
combination of them the concept is formed. Space cannot, therefore, be a
concept. Consequently it must, as the only remaining alternative, be an
intuition. Only in an intuition does the whole precede the parts. In a
concept the parts always precede the whole. Intuition stands for
multiplicity in unity, conception for unity in multiplicity.
The first part of the argument refers to the extension, the second part
to the intension of the space representation. In both aspects it appears
as intuitional.[440]