is effected by the pure understanding by means of its pure or a priori
conceptions, i. e. the categories. This, then, is the process by which
_a priori_ knowledge is originated. The activity of thought or
understanding, however, which unites two conceptions in a judgement by
analysis of them--this being the act studied by Formal Logic--is the
same as that which gives unity to the synthesis of the pure manifold
of perception--this being the act studied by Transcendental Logic.
Consequently, 'the same understanding, and indeed by the same
activities whereby in dealing with conceptions it unifies them in a
judgement by an act of analysis, introduces by means of the
synthetical unity which it produces in the pure manifold of perception
a content into its own conceptions, in consequence of which these
conceptions are called pure conceptions of the understanding,'[4] and
we are entitled to say _a priori_ that these conceptions apply to
objects because they are involved in the process by which we acquire
_a priori_ knowledge of objects.'
[4] An interpretation of B. 105 init., M. 63 fin.
A discussion of the various difficulties raised by the general drift
of this passage, as well as by its details,[5] is unnecessary, and
would anticipate discussion of the _Transcendental Deduction_. But it
is necessary to draw attention to three points.
[5] E. g. Kant's arbitrary assertion that the operation of
counting presupposes the conception of that number which
forms the scale of notation adopted as the source of the
unity of the synthesis. This is of course refuted among other
ways by the fact that a number of units less than the scale
of notation can be counted.