When Kant states[166] that in synthetic judgments we require, besides
the concept of the subject, something else on which the understanding
can rely in knowing that a predicate, not contained in the concept,
nevertheless belongs to it, he entitles this something _x_. In the case
of empirical judgments, this _x_ is brute experience. Such judgments,
Kant implies, are _merely_ empirical. No element of necessity is
involved, not even in an indirect manner; in reference to empirical
judgments there is no problem of _a priori synthesis_. Now in
formulating the issue in this way, Kant is obscuring the essential
purpose of his whole enquiry. He may, without essential detriment to his
central position, still continue to preserve a hard-and-fast distinction
between analytic and synthetic judgments. In so doing he is only failing
to perceive the ultimate consequences of his final results. But in
viewing empirical judgments as lacking in every element of necessity, he
is destroying the very ground upon which he professes to base the _a
priori_ validity of general principles. All judgments involve relational
factors of an _a priori_ character. The appeal to experience is the
appeal to an implied system of nature. Only when fitted into the context
yielded by such a system can an empirical proposition have meaning, and
only in the light of such a presupposed system can its truth be
determined. It can be true at all, only if it can be regarded as
necessarily holding, under the same conditions, for all minds
constituted like our own. Assertion of a contingent relation--as in the
proposition: this horse is white--is not equivalent to contingency of
assertion. Colour is a variable quality of the genus horse, but in the
individual horse is necessarily determined in some particular mode. If a
horse is naturally white, it is necessarily white. Though, therefore, in
the above proposition, necessity receives no explicit verbal expression,
it is none the less implied.
In other words, the distinction between the empirical and the _a priori_
is not, as Kant inconsistently assumes in this _Introduction_, a
distinction between two kinds of synthesis or judgment, but between two
elements inseparably involved in every judgment. Experience is
transcendentally conditioned. Judgment is in all cases the expression of
a relation which implies an organised system of supporting propositions;
and for the articulation of this system _a priori_ factors are
indispensably necessary.