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Daedalus Volume 7; Proceedings of the American Academy of Arts and Sciences

Daedalus Volume 7; Proceedings of the American Academy of Arts and Sciences


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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1868 Excerpt: ...mood of each. The first figure is the fundamental or typical one, and Barbara is the typical mood. There is a strong analogy between the figures of syllogism and the four forms of proposition. A is the fundamental form of proposition, just as the first figure is the fundamental form of syllogism. The second and third figures are derived from the first by the contraposition of propositions, and E and / are derived from A by the contraposition of terms; thus: --Any S is P. Any not-P is not S. Some P is some-& O combines the modifications of E and 7, just as the 2d-3d figure combines the 2d and 3d. In the second-third figure, only 0 can be concluded, in the third only I and 0, in the second only E and 0, in the first either A E I 0. Thus A is the first figure of proposition, E the second, / the third, O the second-third. 7. Mathematical Syllogisms. A kind of argument very common in mathematics may be exemplified as follows: --Every part is less than that of which it is a part, Boston is a part of the Universe;.. Boston is less than the Universe. This may be reduced to syllogistic form thus: --Any relation of part to whole is a relation of less to greater, The relation of Boston to the Universe is a relation of part to whole;.. The relation of Boston to the Universe is a relation of less to greater. If logic is to take account of the peculiarities of such syllogisms, it would be necessary to consider some propositions as having three terms, subject, predicate, and object; and such propositions would be divided into active and passive. The varieties in them would be endless. Part III. 1. Induction and Hypothesis. In the syllogism, Any Ji is P, Z& is M; . ZS is P; where $' S' denotes the sum of all the classes which come under Af. if the ...


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Product Details
  • ISBN-13: 9781153866811
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 184
  • Spine Width: 10 mm
  • Width: 189 mm
  • ISBN-10: 1153866811
  • Publisher Date: 01 May 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 340 gr


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