An Outline Of The Necessary Laws Of Thought; A Treatise On Pure And Applied Logic by William ThomsonAn Outline Of The Necessary Laws Of Thought; A Treatise On Pure And Applied Logic by William Thomson

An Outline Of The Necessary Laws Of Thought; A Treatise On Pure And Applied Logic

byWilliam Thomson

Paperback | July 9, 2012

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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. 1857 edition. Excerpt: ...If it is laid down that "All men have a right to freedom," it becomes impossible to lay down that " No men have a right to freedom;" but of course it does not follow from the refusal to admit that "All men have the right," that therefore no men have. Inconsistent opposition lies between any two affirmative judgments which cannot be correct together, but may be false together; that is, between A and IT, U and Y, and A and Y. Here it becomes necessary to attain a more precise notion of the difference between A and U. Suppose the example of U to be " Animals are things endowed with life and sensation;" which means--that "animals" and "things endowed with life and sensation " are but two modes of representing the same thing, and are therefore interchangeable. Let the example of A be "All men are animals;"--can we say that this judgment has the same properties as the other? can we put " animals " wherever " men " should come into our thoughts? No; " animals " is a very wide class, containing " men " and a vast number of other species. We mean by our judgment, not that men and animals are just the same things, but that men are contained in the wider class animals. This relation might be represented to us by making " men" a small circle, within " animals" a large one; whilst the relation between subject and predicate in U would be best conceived as that of two equal circles laid one upon the other. Now every judgment which is really A, and not U, t. e. which really has an undistributed predicate, means that the predicate is wider than, and contains, the subject; whereas every U means as certainly that the predicate is no wider than the subject. It is true that we sometimes form an A where we might form a U; as in saying that " All men are (some)...

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Title:An Outline Of The Necessary Laws Of Thought; A Treatise On Pure And Applied LogicFormat:PaperbackDimensions:84 pages, 9.69 × 7.44 × 0.17 inPublished:July 9, 2012Publisher:General Books LLCLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0217169767

ISBN - 13:9780217169769

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