Thus the reduction of Baroko to the First Figure by contraposition of the Middle is vindicated as a really useful process.
It is for dealing with these intractable moods that Contraposition is required.
The processes might be indicated by the Mnemonic FAcsOcO, with c indicating the contraposition of the predicate term or Formal Obversion.
It does not seem to have been generally recognized that the alternate contraposition of upright and reversed taus produces the best known and most widely spread primitive border-design, usually known as the Greek fret (fig.
As lack of space forbids my making here a more extended comparison of the native symbols, I shall but point out how the tau, in juxtaposition and contraposition painted in two colors, produces fig.
The Kantio-Fichtean moralism, with its sharp contraposition of nature and spirit, is limited in the Naturphilosophie by Herder's physicism.
By this abrupt contraposition of body and mind as reciprocally independent substances, Descartes founded that dualism, as whose typical representative he is still honored or opposed.
O) Particular Negative: This form of proposition is converted by Contraposition or Negation.
In its unanalysed form conversion by contraposition may be defined generally as--A form of conversion in which both subject and predicate are replaced by their contradictories.
As applied to disjunctive propositions conversion by contraposition consists simply in transposing the two alternatives.
Conversion by contraposition may be complicated in appearance by the occurrence of a negative term in the subject or predicate or both, e.
In conversion by negation we employ the contradictory either of the subject or predicate, but in conversion by contraposition we employ the contradictory of both.
Conversion by contraposition may be said to rest on the following principle-- If one class be wholly contained in another, whatever is external to the containing class is external also to the class contained.
Conversion by contraposition differs in several respects from conversion by negation.
In conversion by negation the converse differs in quality from the convertend: whereas in conversion by contraposition the quality of the two is the same.
Conversion by negation involves only two steps of immediate inference: conversion by contraposition three.
As applied to conjunctive propositions conversion bycontraposition assumes the following forms-- (A) If A is B, C is always D.
It should be noticed that in the case of the [nu] proposition immediate inferences are possible by mere contraposition without conversion.
Conversion by contraposition cannot be applied to the ordinary E proposition except by limitation (ยง 526).
Logicians seem to have overlooked the fact that conversion by contraposition is as applicable to the O as to the A proposition, though, when expressed in symbols, it presents a more clumsy appearance.
Nor can conversion by contraposition be applied at all to I.
