Titlebook: George Boole; Selected Manuscripts Ivor Grattan-Guinness (Professor of the History of Book 1997 Springer Basel AG 1997 Arithmetic.Finite.Th

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1421-6329 gicians, mathematicians and philosophers, and those interested in the histories of the corresponding subjects; and also students of the early Victorian Britain in which they were written.978-3-0348-9805-8978-3-0348-8859-2Series ISSN 1421-6329 Series E-ISSN 2296-6080

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Book 1997amily, followers and scholars have treid to confect an edition. The book will appeal to logicians, mathematicians and philosophers, and those interested in the histories of the corresponding subjects; and also students of the early Victorian Britain in which they were written.

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On the Foundations of the Mathematical Theory of Logic and on the Philosophical Interpretation of Ittual operations. As moreover this paper is in some measure introductory to another containing a special application of its principles 1 I deem it right to state the circumstances in which it originated. Some time after the publication of the “Laws of Thought” my attention was directed by the Bishop

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Elementary Treatise on Logic not Mathematical including Philosophy of Mathematical Reasoning Art is to exhibit the most useful general forms in which valid argument may be expressed. These objects are perfectly distinct. We might possess an exact knowledge of the ultimate laws of thought without caring to deduce from them the rules of Logic as an Art. On the other hand we might collect by

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[Preface]ed the Mathematical Theories of Logic and Probabilities.* Upon the nature of the relation in which it stands to that work and upon the object which it is designed to accomplish it may be desirable to say a few words