sense originated in the action of things-in-themselves, when we
consider what was the thing-in-itself to which he was referring. The
thing-in-itself to which the empirical order and relations of
sense-experience are referred is the divine order, which is not matter
of knowledge, but involved in our practical or moral beliefs. Critics
who limit their view to the _Kritik of Pure Reason_, and there, in all
probability, to the first or constructive portion of the work, must
necessarily fail to interpret the doctrines of the Kantian system,
which do not become clear or definite till the system has been
developed. Reason was, for Kant, an organic whole; the speculative and
moral aspects are never severed; and the solution of problems which
appear at first sight to belong solely to the region of speculative
thought may be found ultimately to depend upon certain characteristics
of our nature as practical.
Data of sense-affection do not contain in themselves synthetic
combination. The first conditions of such combination are found by
Kant in the universal forms under which alone sense-phenomena manifest
themselves in experience. These universal forms of perception, space
and time, are necessary, a priori, and in characteristic features
resembling intuitions, not notions. They occupy, therefore, a peculiar
position, and one section of the _Kritik_, the _Aesthetik_, is
entirely devoted to the consideration of them. It is important to
observe that it is only through the a priori character of these
perceptive forms that rational science of nature is at all possible.
Kant is here able to resume, with fresh insight, his previous
discussions regarding the synthetic character of mathematical
propositions. In his early essays he had rightly drawn the distinction
between mathematical demonstration and philosophic proof, referring
the certainty of the first to the fact that the constructions were
synthetic in character and entirely determined by the action of
constructive imagination. It had not then occurred to him to ask, With
what right do we assume that the conclusions arrived at from arbitrary
constructions in mathematical matter have applicability to objects of
experience? Might not mathematics be a purely imaginary science? To
this question he is now enabled to return an answer. Space and time,
the two essential conditions of sense-perception, are not data given
by things, but universal forms of intellect into which all data of
sense must be received. Hence, whatever is true of space and time
regarded by imagination as objects, i.e. quantitative constructions,
must be true of the objects making up our sense-experience. The same
forms and the same constructive activity of imagination are involved
in mathematical synthesis and in the constitution of objects of
sense-experience. The foundation for pure or rational mathematics,
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