The Fortnightly Volume 15

The Fortnightly Volume 15

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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. 1871 edition. Excerpt: ...whole class (class indefinite, fixed by connotation), is true of whatever thing can be affirmed to como under or belong to the class." Mr. Bain supposes this form of the axiom to bo free from Mr. Mill's criticism, that it does nothing but define a class. "Without attempting here to estimate this difficult problem, we may just point out that Mr. Bain's view seems far more consistent with Mr. Mill's own chapter on the Functions and Value of the Syllogism. The form of the axiom adopted by Mr. Mill, "Things which co-exist with the same thing coexist with one another," has always seemed to us to invest the syllogistic process with the dignity of real inference from the known to the unknown, though it is plainly Mr. Mill's object to denude it of this value. Yet, on the other hand, we think Mr. Bain's view of the ultimate basis of the syllogistic principle may be deemed by many to err in the same direction, and provoke a similar criticism. "The Dictum," he says, " is not a mere rule of consistency, .. it is a mediate process, and the mediation has to be justified by an appeal to the facts. As far as proof goes, it resembles in character the second form above given--' Things co-existing with the samo thing, co-exist, ' and the mathematical axiom--' Things equal to the same thing, are equal.' All the three principles stand upon the same foundation; some philosophers refer them to intuition, others to experience; but the mode of proof for one is the mode for all. Nobody would accept even so obvious an inference as, 'Men are mortal: kings are men: kings are mortal, ' without first verifying upon examples the peculiar kind of transition involved." There are probably those who' would still contend that the fact of...show more

Product details

  • Paperback | 392 pages
  • 189 x 246 x 21mm | 699g
  • Rarebooksclub.com
  • United States
  • English
  • black & white illustrations
  • 1236878396
  • 9781236878397