may be effected very easily, the following section will show.
Section II. Of the Logical Function of the Understanding in Judgements
§ 5
If we abstract all the content of a judgement, and consider only the
intellectual form thereof, we find that the function of thought in a
judgement can be brought under four heads, of which each contains three
momenta. These may be conveniently represented in the following table:
1
_Quantity of judgements_
Universal
Particular
Singular
2 3
_Quality Relation_
Affirmative Categorical
Negative Hypothetical
Infinite Disjunctive
4
_Modality_
Problematical
Assertorical
Apodeictical
As this division appears to differ in some, though not essential
points, from the usual technique of logicians, the following
observations, for the prevention of otherwise possible
misunderstanding, will not be without their use.
1. Logicians say, with justice, that in the use of judgements in
syllogisms, singular judgements may be treated like universal ones.
For, precisely because a singular judgement has no extent at all, its
predicate cannot refer to a part of that which is contained in the
conception of the subject and be excluded from the rest. The predicate
is valid for the whole conception just as if it were a general
conception, and had extent, to the whole of which the predicate
applied. On the other hand, let us compare a singular with a general
judgement, merely as a cognition, in regard to quantity. The singular
judgement relates to the general one, as unity to infinity, and is
therefore in itself essentially different. Thus, if we estimate a
singular judgement (_judicium singulare_) not merely according to its
intrinsic validity as a judgement, but also as a cognition generally,
according to its quantity in comparison with that of other cognitions,
it is then entirely different from a general judgement (_judicium
commune_), and in a complete table of the momenta of thought deserves a
separate place—though, indeed, this would not be necessary in a logic
limited merely to the consideration of the use of judgements in
reference to each other.