The metaphysical exposition, it would therefore seem, is so entitled
because it professes to prove that space is _a priori_, not empirical,
and to do so by analysis of its concept.[452] Now by Kant’s own
definition of the term transcendental, as the theory of the _a priori_,
this exposition might equally well have been named the transcendental
exposition. In any case it is an essential and chief part of the
_Transcendental Aesthetic_. Such division of the _Transcendental
Aesthetic_ into a metaphysical and a transcendental part involves a
twofold use, wider and narrower, of one and the same term. Only as
descriptive of the whole _Aesthetic_ is transcendental employed in the
sense defined.
Exposition (_Erörterung_, Lat. _expositio_) is Kant’s substitute for the
more ordinary term definition. Definition is the term which we should
naturally have expected; but as Kant holds that no =given= concept,
whether _a priori_ or empirical, can be defined in the strict
sense,[453] the substitutes the term exposition, using it to signify
such definition of the nature of space as is possible to us. To complete
the parallelism Kant speaks of the transcendental enquiry as also an
exposition. It is, however, in no sense a definition. Kant’s terms here,
as so often elsewhere, are employed in a more or less arbitrary and
extremely inexact manner.
The distinction between the two expositions is taken by Kant as follows.
The metaphysical exposition determines the nature of the concept of
space, and shows it to be a given _a priori_ intuition. The
transcendental exposition shows how space, when viewed in this manner,
renders comprehensible the possibility of synthetic _a priori_
knowledge.
The omission of the third argument on space from the second edition, and
its incorporation into the new transcendental exposition, is certainly
an improvement. In its location in the first edition, it breaks in upon
the continuity of Kant’s argument without in any way contributing to the
further definition of the concept of space. Also, in emphasising that
mathematical knowledge depends upon the _construction_ of concepts,[454]
Kant presupposes that space is intuitional; and that has not yet been
established.