The concepts which are analytically treated may be either empirical or
_a priori_. When they are empirical, the judgments which they involve
can have no wider application than the experience to which they give
expression; and in any case can only reveal what has all along been
thought, though confusedly, in the term which serves as subject of the
proposition. They can never reveal anything different in kind from the
contents actually experienced. This limitation, to which the analysis of
empirical concepts is subject, was admitted by both empiricists and
rationalists. The latter sought, however, to escape its consequences by
basing their metaphysics upon concepts which are purely _a priori_, and
which by their _a priori_ content may carry us beyond the experienced.
But here also Kant asserts a _non possibile_. _A priori_ concepts, he
seeks to show, are in all cases purely logical functions without
content, and accordingly are as little capable as are empirical concepts
of carrying us over to the supersensible. This is an objection which
holds quite independently of that already noted, namely, that their
objective validity would involve a pre-established harmony.
What, then, is the nature and what are the generating conditions of
synthetic judgments that are also _a priori_? In all judgments there is
a relation between subject and predicate, and that can be of two kinds.
Either the predicate B belongs to the subject A, or B lies outside the
sphere of the concept A though somehow connected with it. In the former
case the judgment is analytic; in the latter it is synthetic. The one
simply unfolds what has all along been conceived in the subject concept;
the other ascribes to the concept of the subject a predicate which
cannot be found in it by any process of analysis. Thus the judgment ‘all
bodies are extended’ is analytic. The concept of body already contains
that of extension, and is impossible save through it. On the other hand,
the judgment ‘all bodies are heavy’ is synthetic. For not body as such,
but only bodies which are in interaction with other bodies, are found to
develop this property. Bodies can very well be conceived as not
influencing one another in any such manner.