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An investigation of the laws of thought
Foyalty 27
An investigation of the laws of thought (Paperback)
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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. 1854 edition. Excerpt: ...and hence that " whatever exists necessarily is the one simple essence of the self-existent being." The conclusion is also made to flow from the following premises: --1. If there are two or more necessary and independent beings, either of them may be supposed to exist alone. 2. If either may be supposed to exist alone, it is not a contradiction to suppose the other not to exist. 3. If it is not a contradiction to suppose this, there are not two necessary and independent beings. Let us represent the elementary propositions as follows: --x = there exist two necessary independent beings. y = either may be supposed to exist alone. 2 = it is not a contradiction to suppose the other not to exist. We have then, on proceeding as before, st(l-y) = 0. (1) y(l-z)=0. (2) zx = 0. (3) Eliminating y and z, we have x = 0. "Whence, There do not exist two necessary and independent beings. 11. To the premises upon which the two previous propositions rest, it is well known that Bishop Butler, who at the time of the publication of the "Demonstration," was a student in a nonconformist academy, made objection in some celebrated letters, which, together with Dr. Clarke's replies to them, are usually appended to editions of the work. The real question at issue is the validity of the principle, that "whatsoever is absolutely necessary at all is absolutely necessary in every part of space, and in every point of duration,"--a principle assumed in Dr. Clarke's reasoning, and explicitly stated in his reply to Butler's first letter. In his second communication Butler says: "I do not conceive that the idea of ubiquity is contained in the idea of selfexistence, or directly follows from it, any otherwise than as whatever exists must exist somewhere." That is to say, necessary...

Philosophy, Psychology & Social Sciences >> Philosophy Theory >> Philosophy: logicScience & Mathematics >> Mathematics >> Mathematical foundations >> Mathematical logic Publisher: General Books LLC Publication Date: 16/08/2009 ISBN-13: 9780217682015  Details: Type: Paperback Format: Books
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