In terms of the first distinction we are compelled to recognise that the
view of space which underlies the _Aesthetic_ is out of harmony with the
teaching of the _Analytic_. In the _Aesthetic_ Kant interprets space not
merely as a form of intuition but also as a formal intuition, which is
given complete in its totality, and which is capable of being
apprehended independently of its empirical contents, and even prior to
them. That would seem to be the view of space which is presupposed in
Kant’s explanation of pure mathematical science. The passages from the
_Analytic_, quoted above, are, however, its express recantation. Space,
as the intuition of a manifold, is a _totum syntheticum_, not a _totum
analyticum_. It is constructed, not given. The divergence of views
between the _Aesthetic_ and the _Analytic_ springs out of the difficulty
of meeting at once the logical demands of a world which Kant conceives
objectively, and the psychological demands which arise when this same
world is conceived as subjectively conditioned. In principle, the whole
precedes the parts; in the process of being brought into existence as an
intuition, the parts precede the whole. The principle which determines
our apprehension of any space, however small or however large, is that
it exists in and through universal space. This is the principle which
underlies both the synthetic construction of space and also its
apprehension once it is constructed. In principle, therefore, _i.e._ in
the order of logical thought, the whole precedes the parts.[413] The
process, however, which this principle governs and directs, cannot start
with space as a whole, but must advance to it through synthesis of
smaller parts.
But Kant does not himself recognise any conflict between this teaching
and the doctrine of the _Aesthetic_. He seems to himself merely to be
making more definite a position which he has consistently held all
along; and this was possible owing to his retention and more efficient
formulation of the second of the two distinctions mentioned above, viz.
that between the manifold of sense and the manifold of intuition. This
distinction enables him to graft the new view upon the old, and so in
the very act of insisting upon the indispensableness of the conceptual
syntheses of understanding, none the less to maintain his view of
geometry as an intuitive science.[414]
“Space and time contain a manifold of pure _a priori_ intuition,
but at the same time are conditions of the receptivity of our
mind--conditions under which alone it can receive representations
of objects, and which therefore must also affect the concept of
them. But if this manifold is to be known, the spontaneity of our
thinking requires that it be gone through in a certain way, taken
up, and connected. This action I name synthesis.... Such a
synthesis is pure, if the manifold is not empirical, but is given
_a priori_, as is that of space and of time.”[415]