Elementary Notions of Logic; A Prolegomena to the Study of Geometry

Elementary Notions of Logic; A Prolegomena to the Study of Geometry

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This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1884 edition. Excerpt: ...All horses are animals, N o dogs are horses, No dogs are animals. The absurdity of such an argument is evident at a glance, and hence we have our second syllogistic rule: Rule II.--No term must be distributed in the conclusion which was not distributed in the premisses. The breach of this rule gives rise to a fallacy known as Illicit Process. Illicit processes are of two kinds, according as the major or minor term is wrongfully distributed in the conclusion. In the former case, the fallacy'is called Illicit Process of the Major; in the latter, Illicit Process of the Minor Term. Illicit process of the minor does not occur in prac tice so often as illicit process of the major. An example of it would be--' All birds are winged, Some bipeds are birds, All bipeds are winged. It will be easily seen that this rule has already been investigated in the case of immediate inference, and is the same law in another form as that which regulates conversion by limitation. (Cf. p. 40.) III.--Suppose we have given us as premisses--No M is P, No S is M. We can represent these graphically, thus: ---From these figures we may gather that any variety of relation between S and P is consistent with the premisses. This might, in fact, be seen at a glance fronr the premisses themselves, for all they do is to deny any relation between the major and minor and the middle term. Hence they leave the relations between the major and the minor wholly undetermined. In this way we arrive at Rule III.-Two negative premisses prove nothing. IV.--Having examined the case where both premisses are negative, it remains to be seen what law will hold in the case where one only of the premisses is negative. Take, for instance----Now, the only portion of S that we know anything about is...show more

Product details

  • Paperback | 32 pages
  • 189 x 246 x 2mm | 77g
  • Rarebooksclub.com
  • United States
  • English
  • black & white illustrations
  • 1236796713
  • 9781236796714