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A Text-Book of Deductive Logic for the Use of Students

A Text-Book of Deductive Logic for the Use of Students


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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. 1900 edition. Excerpt: ...is false, and if one be false, the other is true, --that is, they are the two members of the disjunctive proposition 'Either A is B or A is C, ' or 'A is either B or C, ' in Ueberweg's sense. (b) And from the two hypothetical may also be inferred the original disjunctive in Mill's sense. The two hypothetical from the disjunctive, according to Mill, are--(1) If A is not C, A is B. (2) If A is not B, A is C. It has been already shown above that of the two propositions 'A is B' and 'A is C, ' the falsity of the one implies the truth of the other--i.e., they are the two members of the disjunctive proposition 'A is either B or C' in Mill's sense. (c) Is it possible to infer immediately a disjunctive proposition from a single hypothetical 1 This is not possible in Ueberwegfs sense of a disjunctive. But this is possible of a disjunctive in Mill's sense. From the hypothetical 'If A is B, A is C follows the disjunctive 'Either A is not B or A is C The proof is as follows: --(1) If A is B, A is C. By contraposing this we get, (2) If A is not C, A is not B. If 'A is C' be false, 'A is not C is true by the Law of Excluded Middle; and.. from (2) 'A is not B' is true. Again, if'A is not B' be false, 'A is B' is true by the same law; and.. from (1) 'A is C is true. Hence, of the two propositions 'A is C' and 'A is not B, ' the falsity of the one implies the truth of the other. They are, therefore, the two members of the disjunctive proposition 'Either A is not B or A is C' in Mill's sense. Thus, a disjunctive in Mill's sense can be inferred from a single hypothetical proposition; but this is not possible in Ueberweg's sense of a disjunctive. Exercises. I. Distinguish the following disjunctive propositions from each other, and note the ambiguity, if any, in...


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Product Details
  • ISBN-13: 9781154991840
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 96
  • Spine Width: 5 mm
  • Width: 189 mm
  • ISBN-10: 1154991849
  • Publisher Date: 01 Oct 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 186 gr

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