Fundamental Philosophy, Vol. 1 (of 2)Balmes, Jaime Luciano
Philosophy
Fundamental Philosophy, Vol. 1 (of 2)
Balmes, Jaime Luciano
Philosophy, Spanish
There is a great difference between these two propositions: a man that
is ignorant _is not_ instructed; and a man that is ignorant _cannot
be_ instructed. The condition of time must not be expressed in the
former, for the reason already given; it must be in the latter, because
speaking of the impossibility in an absolute manner, we should deny the
ignorant man even the _power_ to be instructed.
203. Kant's other example is the following: "But if I say no unlearned
man is learned, the proposition is analytical, since the sign of
unlearnedness now constitutes the conception of the subject, and then
the negative proposition is immediately evident from the principle
of contradiction, without it being necessary for the condition _at
the same time_ to be added." We cannot see why Kant makes so great
difference between these two propositions: a man who is unlearned is
not learned, and no unlearned man is learned; in both, the predicate
relates not only to man, but to an unlearned man; and it is the same
to say, a man that is unlearned, as, an unlearned man. If, then, the
expression of time is not necessary in the one, neither is it in the
other.
If the idea of unlearned affects the subject, the predicate is
necessarily excluded, because the ideas, learned and unlearned, are
contradictory; and we encounter the rule of logic, that in necessary
matters, an indefinite is equivalent to a universal proposition.
The principle of contradiction must, therefore, be preserved as it is;
the condition of time must not be suppressed, for this would render the
formula, in many cases, inapplicable.(20)
CHAPTER XXI.
DOES THE PRINCIPLE OF CONTRADICTION MERIT THE TITLE OF FUNDAMENTAL; AND
IF SO, IN WHAT SENSE?
204. Having cleared up the true sense of the principle of
contradiction, let us now see whether it merits to be called
fundamental, whether it possesses all the characteristics requisite to
such a dignity. These characteristics are three in number: first, that
it depend on no other principle; secondly, that its fall involve the
ruin of all others; thirdly, that it may, while it remains firm, be
conclusively urged against all who deny the others, and be of avail to
bring them back to the truth by a demonstration at least indirect.
* * * * *
205. In order completely to solve all questions depending on the
principle of contradiction, we shall state a few propositions, and
accompany them with their proper demonstrations:
FIRST PROPOSITION.
If the principle of contradiction be denied, all certainty, all truth,
and all knowledge are at an end.
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