=1. Quantity.=--Kant here frankly departs from the classification of
judgments followed in formal logic; and the reason which he gives for so
doing is in direct contradiction to his demand that only the form of
judgment must be taken into account. The “quantity of knowledge” here
referred to is determinable, not from the form, but only from the
content of the judgment. Also, the statement that the singular judgment
stands to the universal as unity to infinity (_Unendlichkeit_) is
decidedly open to question. The universal is itself a form of unity, as
Kant virtually admits in deriving, as he does, the category of unity
from the universal judgment.
=2. Quality.=--Kant makes a similar modification in the logical treatment
of quality, by distinguishing between affirmative and infinite
judgments. The proposition, A is not-B, is to be viewed as neither
affirmative nor negative. As the _content_ of the predicate includes the
infinite number of things that are not-B, the judgment is infinite.
Kant, in a very artificial and somewhat arbitrary manner, contrives to
define it as limitative in character, and so as sharing simultaneously
in the nature both of affirmation and of negation. The way is thus
prepared for the “discovery” of the category of limitation.
=3. Relation.=--Wolff, Baumgarten, Meier, Baumeister, Reimarus, and
Lambert, with very minor differences, agree in the following
division:[705]
{Simple = Categorical
{
Judgments{ {Copulative (_i.e._ categorical with more
{ {than one subject or more than one
{Complex {predicate).
{Hypothetical.
{Disjunctive.
Kant omits the copulative judgment, and by ignoring the distinction
between simple and complex judgments (which in Reimarus, and also less
definitely in Wolff, is connected with the distinction between
conditional and unconditional judgments) contrives to bring the
remaining three types of judgment under the new heading of “relation.”
They had never before been thus co-ordinated, and had never before been
subsumed under this particular title. It is by no means clear why such
distinctions as those between simple and complex, conditioned and
unconditioned, should be ignored, and why the copulative judgment should
not be recognised as well as the hypothetical. Kant’s criterion of
importance and unimportance in the distinctions employed by the
logicians of his day was wholly personal to himself; and, though hard to
define, was certainly not dictated by any logic that is traceable to
Aristotelian sources. His exposition is throughout controlled by
foreknowledge of the particular categories which he desires to
“discover.”