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An Investigation of the Laws of Thought

An Investigation of the Laws of Thought
Author: George Boole
Publisher: Independently Published
Total Pages: 336
Release: 2018-11-27
Genre: Literary Collections
ISBN: 9781790431526

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An investigation of the laws of thought on which are founded the mathematical theories of logic and probabilities - an unabridged edition."A classic of pure mathematics and symbolic logic ... the publisher is to be thanked for making it available." -- Scientific American George Boole was on of the greatest mathematicians of the 19th century, and one of the most influential thinkers of all time. Not only did he make important contributions to differential equations and calculus of finite differences, he also was the discoverer of invariants, and the founder of modern symbolic logic. According to Bertrand Russell, "Pure mathematics was discovered by George Boole in his work published in 1854."This work is the first extensive statement of the modern view that mathematics is a pure deductive science that can be applied to various situations. Boole first showed how classical logic could be treated with algebraic terminology and operations, and then proceeded to a general symbolic method of logical interference; he also attempted to devise a calculus of probabilities which could be applied to situations hitherto considered beyond investigation.The following work is not a republication of a former treatise by the Author, entitled, \The Mathematical Analysis of Logic." Its earlier portion is indeed devoted to the same object, and it begins by establishing the same system of fundamental laws, but its methods are more general, and its range of applications far wider. It exhibits the results, matured by some years of study and reflection, of a principle of investigation relating to the intellectual operations, the previous exposition of which was written within a few weeks after its idea had been conceived.


An Investigation of the Laws of Thought, on Which Are Founded the Mathematical Theories of Logic and Probabilities

An Investigation of the Laws of Thought, on Which Are Founded the Mathematical Theories of Logic and Probabilities
Author: George Boole
Publisher:
Total Pages: 340
Release: 2015-12-19
Genre:
ISBN: 9781781395691

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At the age of twenty, George Boole taught himself mathematics, then worked his way through the mathematics of his day, published papers in a wide range of mathematical fields, until, in this remarkably accessible seminal work, he laid down postulates and axioms for logic for the first time - just as Euclid had done for geometry. Boolean algebra has become the basis for practical digital circuit design; thus Boole has provided the theoretical grounding for the Information Age. "A classic of pure mathematics and symbolic logic"- Scientific American. "Pure mathematics was discovered by George Boole in his work published in 1854."-Bertrand Russell.


An Investigation of the Laws of Thought

An Investigation of the Laws of Thought
Author: George Boole
Publisher: Courier Corporation
Total Pages: 452
Release: 2012-07-26
Genre: Philosophy
ISBN: 0486157504

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"A classic of pure mathematics and symbolic logic ... the publisher is to be thanked for making it available." — Scientific American George Boole was on of the greatest mathematicians of the 19th century, and one of the most influential thinkers of all time. Not only did he make important contributions to differential equations and calculus of finite differences, he also was the discoverer of invariants, and the founder of modern symbolic logic. According to Bertrand Russell, "Pure mathematics was discovered by George Boole in his work published in 1854." This work is the first extensive statement of the modern view that mathematics is a pure deductive science that can be applied to various situations. Boole first showed how classical logic could be treated with algebraic terminology and operations, and then proceeded to a general symbolic method of logical interference; he also attempted to devise a calculus of probabilities which could be applied to situations hitherto considered beyond investigation. The enormous range of this work can be seen from chapter headings: Nature and Design of This Work; Signs and Their Laws; Derivation of Laws; Division of Propositions; Principles of Symbolical Reasoning; Interpretation; Elimination; Reduction; Methods of Abbreviation; Conditions of a Perfect Method; Secondary Propositions; Methods in Secondary Propositions; Clarke and Spinoza; Analysis, Aristotelian Logic; Theory of Probabilities; General Method in Probabilities; Elementary Illustrations; Statistical Conditions; Problems on Causes; Probability of Judgments; Constitution of the Intellect. This last chapter, Constitution of the Intellect, is a very significant analysis of the psychology of discovery and scientific method.


An Investigation of the Laws of Thought

An Investigation of the Laws of Thought
Author: George Boole
Publisher: Createspace Independent Publishing Platform
Total Pages: 336
Release: 2015-11-03
Genre:
ISBN: 9781519110695

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An Investigation of the Laws of Thought

An Investigation of the Laws of Thought
Author: George Boole
Publisher: Palala Press
Total Pages: 462
Release: 2018-02-24
Genre:
ISBN: 9781378574911

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This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.


An Investigation of the Laws of Thought

An Investigation of the Laws of Thought
Author: George Boole
Publisher: Nabu Press
Total Pages: 458
Release: 2014-01
Genre:
ISBN: 9781294536710

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This is a reproduction of a book published before 1923. 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. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book.