All the three sciences have this in common, that without having learned
them we follow their rules, which indeed are themselves first abstracted
from this natural employment of them. Therefore, although they are of
great theoretical interest, they are of little practical use; partly
because, though they certainly give the rule, they do not give the case of
its application; partly because in practice there is generally no time to
recollect the rules. Thus they teach only what every one already knows and
practises of his own accord; but yet the abstract knowledge of this is
interesting and important. Logic will not easily have a practical value,
at least for our own thinking. For the errors of our own reasoning
scarcely ever lie in the inferences nor otherwise in the form, but in the
judgments, thus in the matter of thought. In controversy, on the other
hand, we can sometimes derive some practical use from logic, by taking the
more or less intentionally deceptive argument of our opponent, which he
advances under the garb and cover of continuous speech, and referring it
to the strict form of regular syllogisms, and thus convicting it of
logical errors; for example, simple conversion of universal affirmative
judgments, syllogisms with four terms, inferences from the consequent to
the reason, syllogisms in the second figure with merely affirmative
premisses, and many such.
It seems to me that the doctrine of the laws of thought might be
simplified if we were only to set up two, the law of excluded middle and
that of sufficient reason. The former thus: “Every predicate can either be
affirmed or denied of every subject.” Here it is already contained in the
“either, or” that both cannot occur at once, and consequently just what is
expressed by the laws of identity and contradiction. Thus these would be
added as corollaries of that principle which really says that every two
concept-spheres must be thought either as united or as separated, but
never as both at once; and therefore, even although words are brought
together which express the latter, these words assert a process of thought
which cannot be carried out. The consciousness of this infeasibility is
the feeling of contradiction. The second law of thought, the principle of
sufficient reason, would affirm that the above attributing or denying must
be determined by something different from the judgment itself, which may
be a (pure or empirical) perception, or merely another judgment. This
other and different thing is then called the ground or reason of the
judgment. So far as a judgment satisfies the first law of thought, it is
thinkable; so far as it satisfies the second, it is true, or at least in
the case in which the ground of a judgment is only another judgment it is
logically or formally true. But, finally, material or absolute truth is
always the relation between a judgment and a perception, thus between the
abstract and the concrete or perceptible idea. This is either an immediate