Download or read book An Investigation of the Laws of Thought written by George Boole and published by . This book was released on 1854 with total page 688 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Investigation of the Laws of Thought written by George Boole and published by . This book was released on 1854 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Investigation of the Laws of Thought on which are Founded the Mathematical Theories of Logic and Probabilities written by and published by . This book was released on 1854 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Investigation of the Laws of Thought on which are Founded the Mathematical Theories of Logic and Probabilities by George Boole written by George Boole and published by . This book was released on 1854 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Investigation of the Laws of Thought written by George Boole and published by Literary Licensing, LLC. This book was released on 2014-08-07 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Is A New Release Of The Original 1854 Edition.
Download or read book An Investigation of the Laws of Thought written by George Boole and published by Courier Corporation. This book was released on 2012-07-26 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.
Download or read book The Laws of Thought 1854 written by George Boole and published by . This book was released on 1911 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Investigation of the Laws of Thought written by George Boole and published by Legare Street Press. This book was released on 2022-10-27 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 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. 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.
Download or read book An Investigation of the Laws of Thought written by George Boole and published by Independently Published. This book was released on 2018-11-27 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The laws of thought written by George Boole and published by . This book was released on 1916 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Investigation of the Laws of Thought written by George Boole and published by Forgotten Books. This book was released on 2015-06-25 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from An Investigation of the Laws of Thought: On Which Are Founded the Mathematical Theories of Logic and Probabilities 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. That portion of this work which relates to Logic presupposes in its reader a knowledge of the most important terms of the science, as usually treated, and of its general object. On these points there is no better guide than Archbishop Whately's Elements of Logic, or Mr. Thomson's Outlines of the Laws of Thought. To the former of these treatises, the present revival of attention to this class of studies seems in a great measure due. Some acquaintance with the principles of Algebra is also requisite, but it is not necessary that this application should have been carried beyond the solution of simple equations. For the study of those chapters which relate to the theory of probabilities, a somewhat larger knowledge of Algebra is required, and especially of the doctrine of Elimination, and of the solution of Equations containing more than one unknown quantity. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Download or read book An Investigation of the Laws of Thought written by George Boole and published by Createspace Independent Publishing Platform. This book was released on 2015-11-03 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: product description here.
Download or read book An Investigation of the Laws of Thought on which are Founded the Mathematical Theories of Logic and Probabilities Mit Portr 1 American Print written by George Boole and published by . This book was released on 1955 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Investigation of the Laws of Thought written by George Boole and published by Nabu Press. This book was released on 2014-01 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book An Investigation of the Laws of Thought on Which Are Founded the Mathematical Theories of Logic and Probabilities Classic Reprint written by George Boole and published by Forgotten Books. This book was released on 2017-07-26 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from An Investigation of the Laws of Thought, on Which Are Founded the Mathematical Theories of Logic and Probabilities To his valued friend, the Rev. George Stephens Dickson, of Lincoln, the Author desires to record his obligations for much kind assistance in the revision of this work, and for some impor tant suggestions. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Download or read book Studies in Logic and Probability written by George Boole and published by Courier Corporation. This book was released on 2012-01-01 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: Authoritative account of the development of Boole's ideas in logic and probability theory ranges from The Mathematical Analysis of Logic to the end of his career. The Laws of Thought formed the most systematic statement of Boole's theories; this volume contains incomplete studies intended for a follow-up volume. 1952 edition.
Download or read book An Investigation of the Laws of Thought written by George Boole and published by Createspace Independent Pub. This book was released on 2013-06-03 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Laws of Thought, more precisely, An Investigation of the Laws of Thought on Which are Founded the Mathematical Theories of Logic and Probabilities, was an influential 19th century book by George Boole, the second of his two monographs on algebraic logic. It was published in 1854. Boole was Professor of Mathematics of then Queen's College, Cork in Ireland. Boole's work founded the discipline of algebraic logic. It is often, but mistakenly, credited as being the source of what we know today as Boolean algebra. In fact, however, Boole's algebra differs from modern Boolean algebra: in Boole's algebra A+B cannot be interpreted by set union, due to the permissibility of uninterpretable terms in Boole's calculus. Therefore algebras on Boole's account cannot be interpreted by sets under the operations of union, intersection and complement, as is the case with modern Boolean algebra. The task of developing the modern account of Boolean algebra fell to Boole's successors in the tradition of algebraic logic (Jevons 1869, Peirce 1880, Jevons 1890, Schröder 1890, Huntingdon 1904). In Boole's account of his algebra, terms are reasoned about equationally, without a systematic interpretation being assigned to them. In places, Boole talks of terms being interpreted by sets, but he also recognises terms that cannot always be so interpreted, such as the term 2AB, which arises in equational manipulations. Such terms he classes uninterpretable terms; although elsewhere he has some instances of such terms being interpreted by integers. The coherences of the whole enterprise is justified by Boole in what Stanley Burris has later called the "rule of 0s and 1s", which justifies the claim that uninterpretable terms cannot be the ultimate result of equational manipulations from meaningful starting formulae (Burris 2000). Boole provided no proof of this rule, but the coherence of his system was proved by Theodore Hailperin, who provided an interpretation based on a fairly simple construction of rings from the integers to provide an interpretation of Boole's theory (Hailperin 1976).
