Fundamental Philosophy, Vol. 1 (of 2)Balmes, Jaime Luciano
Philosophy
Fundamental Philosophy, Vol. 1 (of 2)
Balmes, Jaime Luciano
Philosophy, Spanish
What are all axioms? What are all propositions _per se notæ_? Nothing
but expressions, in which it is affirmed that a predicate belongs to
the essence of the subject, or is contained in its idea. The mere
conception of the subject includes the predicate: the term which
denotes the first also denotes the second; yet the intellect, with a
mysterious power of analysis, distinguishes between identical things,
and then compares them in order to make them again identical. Whoever
says triangle, expresses a figure composed of three sides and three
angles; but the intellect may take this idea and consider in it the
ideas of the number three, side, and angle, and compare them with the
primitive conception. In this distinction there is no deception; there
is only the exercise of the faculty, which regards the thing under
different aspects, in order to arrive at the intuition and affirmation
of the identity of the very things it had before distinguished.
243. Evidence is a sort of calculation of the intellect, whereby it
finds in the conception analyzed whatever was placed in the principle
or was contained in it. Hence the necessity and universality of the
object of evidence, inasmuch as, and in the manner, in which it is
expressed by the idea. To this there are no exceptions. Either a
predicate is or is not placed in a primitive principle: if it is, it is
there, according to the principle of contradiction. Either it was or
was not excluded from the conception; if the conception itself excludes
or denies it, this it does by virtue of the principle of contradiction.
Thus the more fundamental of the two characteristics of evidence given
above is, that the idea of the predicate is contained in the idea of
the subject. Hence the necessity and universality; since, in verifying
this condition, it is impossible for the predicate not to belong
_necessarily to all the subjects_.
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