The Logic of Chance; An Essay on the Foundations and Province of the Theory of Probability, with Especial Reference to Its Application to Moral

 
9780217629805: The Logic of Chance; An Essay on the Foundations and Province of the Theory of Probability, with Especial Reference to Its Application to Moral

Book may have numerous typos, missing text, images, or index. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. 1866. Excerpt: ... CHAPTER XI. ON THE CAUSES BY WHICH THE PECULIAR SERIES OF PROBABILITY ARE PRODUCED. § 1. The characteristic feature of the phenomena to -which the theory of Probability is applicable, as these phenomena present themselves when the rules are capable of being immediately applied to them, was fully discussed and illustrated in some of the earlier chapters. We will now enter into a short examination of the causes by which this feature is produced, taking up the enquiry at the point at which it was left in the brief discussion devoted to the subject in the ninth chapter. § 2. To divide the sum total of these causes into objects and agencies, is to make a division which, without pretending to absolute philosophical accuracy, will be sufficiently complete for our present purpose. In the tossing up of a penny, for example, the objects would be the penny or pence which were successively thrown; the agencies, the act of throwing, and every thing which combined with this to make any particular face turn uppermost. This is a very simple and intelligible division, and can easily be extended in meaning, I think, so as to embrace every class of objects with which Probability is concerned. First then let ns suppose a succession of such objects absolutely alike, and let them be exposed to agencies in all respects identical. We should expect to find this identity of antecedents followed by a similar identity of consequents. If similar pence, or the same penny, were thrown in the same way we should expect to find the same face always fall uppermost. § 3. But now suppose that instead of actual identity in the antecedents we had a general uniformity with individual variations in the objects, and assume that there is a similar degree of uniformity in the influence of the agencies to which ...

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Venn, John
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ISBN 10: 0217629806 ISBN 13: 9780217629805
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Descrizione libro General Books LLC. Condizione libro: New. New. This is a reproduction of an out of print title. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. Book is new and unread but may have minor shelf wear. Codice libro della libreria Z1-A-018-00840

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