The Algebra Of Logic Classic Reprint

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The Algebra of Logic (Classic Reprint)

Author : Louis Couturat
Publisher : Forgotten Books
ISBN 13 : 9780365329640
Total Pages : 116 pages
Book Rating : 4.3/5 (296 download)

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Book Synopsis The Algebra of Logic (Classic Reprint) by : Louis Couturat

Download or read book The Algebra of Logic (Classic Reprint) written by Louis Couturat and published by Forgotten Books. This book was released on 2018-03-22 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from The Algebra of Logic The primary significance of a symbolic calculus seems to lie in the economy of mental effort which it brings about, and to this is due the characteristic power and rapid development of mathematical knowledge. Attempts to treat the operations of formal logic in an analogous way had been made not in frequently by some of the more philosophical mathematicians, such as leibniz and lambert; but their labors remained little known, and it was boole and DE morgan, about the middle of the nineteenth century, to whom a mathematical - though of course non-quantitative - way of regarding logic was due. By this, not only was the traditional or Aristotelian doctrine of logic reformed and completed, but out of it has developed, in course of time, an instrument which deals in a sure manner with the task of investigating the fundamental concepts of mathematics - a task which philosophers have repeatedly taken in hand, and in which they have as repeatedly failed. 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.

Principles of the Algebra of Logic

Author : Alex MacFarlane
Publisher : Forgotten Books
ISBN 13 : 9780331643855
Total Pages : 170 pages
Book Rating : 4.6/5 (438 download)

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Book Synopsis Principles of the Algebra of Logic by : Alex MacFarlane

Download or read book Principles of the Algebra of Logic written by Alex MacFarlane and published by Forgotten Books. This book was released on 2017-11-21 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Principles of the Algebra of Logic: With Examples Expansion of a function of a number of independent symbols in terms of the primary parts into which the universe is divided by the symbols. 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.

An Introduction to the Logic of Algebra

Author : Ellery W. Davis
Publisher :
ISBN 13 : 9781332780037
Total Pages : 142 pages
Book Rating : 4.7/5 (8 download)

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Book Synopsis An Introduction to the Logic of Algebra by : Ellery W. Davis

Download or read book An Introduction to the Logic of Algebra written by Ellery W. Davis and published by . This book was released on 2016-06-26 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from An Introduction to the Logic of Algebra: With Illustrative Exercises This book is precisely described by the title, and is mainly the outgrowth Of a conviction that the logic of algebra is a very much neglected study. Partly because the processes of algebra are simple and easily taught, partly because both arithmetic and algebra are generally studied for the sake Of the processes rather than for the sake Of discipline, the reasoning which underlies the processes has come to be very generally, slurred over or even absolutely ignored. 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.

The Algebra of Logic

Author : Louis Couturat
Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781724279491
Total Pages : 102 pages
Book Rating : 4.2/5 (794 download)

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Book Synopsis The Algebra of Logic by : Louis Couturat

Download or read book The Algebra of Logic written by Louis Couturat and published by Createspace Independent Publishing Platform. This book was released on 2018-07-26 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Algebra of Logic: Large Print By Louis Couturat 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. We are delighted to publish this classic book as part of our extensive Classic Library collection. Many of the books in our collection have been out of print for decades, and therefore have not been accessible to the general public. The aim of our publishing program is to facilitate rapid access to this vast reservoir of literature, and our view is that this is a significant literary work, which deserves to be brought back into print after many decades. The contents of the vast majority of titles in the Classic Library have been scanned from the original works. To ensure a high quality product, each title has been meticulously hand curated by our staff. Our philosophy has been guided by a desire to provide the reader with a book that is as close as possible to ownership of the original work. We hope that you will enjoy this wonderful classic work, and that for you it becomes an enriching experience.

Classical and Nonclassical Logics

Author : Eric Schechter
Publisher : Princeton University Press
ISBN 13 : 9780691122793
Total Pages : 530 pages
Book Rating : 4.1/5 (227 download)

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Book Synopsis Classical and Nonclassical Logics by : Eric Schechter

Download or read book Classical and Nonclassical Logics written by Eric Schechter and published by Princeton University Press. This book was released on 2005-08-28 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classical logic is traditionally introduced by itself, but that makes it seem arbitrary and unnatural. This text introduces classical alongside several nonclassical logics (relevant, constructive, quantative, paraconsistent).

Algebraic Logic

Author : Paul R. Halmos
Publisher : Courier Dover Publications
ISBN 13 : 0486810410
Total Pages : 276 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis Algebraic Logic by : Paul R. Halmos

Download or read book Algebraic Logic written by Paul R. Halmos and published by Courier Dover Publications. This book was released on 2016-03-17 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Beginning with an introduction to the concepts of algebraic logic, this concise volume features ten articles by a prominent mathematician that originally appeared in journals from 1954 to 1959. Covering monadic and polyadic algebras, these articles are essentially self-contained and accessible to a general mathematical audience, requiring no specialized knowledge of algebra or logic. Part One addresses monadic algebras, with articles on general theory, representation, and freedom. Part Two explores polyadic algebras, progressing from general theory and terms to equality. Part Three offers three items on polyadic Boolean algebras, including a survey of predicates, terms, operations, and equality. The book concludes with an additional bibliography and index.

Proof Theory and Algebra in Logic

Author : Hiroakira Ono
Publisher : Springer
ISBN 13 : 9811379971
Total Pages : 160 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Proof Theory and Algebra in Logic by : Hiroakira Ono

Download or read book Proof Theory and Algebra in Logic written by Hiroakira Ono and published by Springer. This book was released on 2019-08-02 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a concise introduction to both proof-theory and algebraic methods, the core of the syntactic and semantic study of logic respectively. The importance of combining these two has been increasingly recognized in recent years. It highlights the contrasts between the deep, concrete results using the former and the general, abstract ones using the latter. Covering modal logics, many-valued logics, superintuitionistic and substructural logics, together with their algebraic semantics, the book also provides an introduction to nonclassical logic for undergraduate or graduate level courses.The book is divided into two parts: Proof Theory in Part I and Algebra in Logic in Part II. Part I presents sequent systems and discusses cut elimination and its applications in detail. It also provides simplified proof of cut elimination, making the topic more accessible. The last chapter of Part I is devoted to clarification of the classes of logics that are discussed in the second part. Part II focuses on algebraic semantics for these logics. At the same time, it is a gentle introduction to the basics of algebraic logic and universal algebra with many examples of their applications in logic. Part II can be read independently of Part I, with only minimum knowledge required, and as such is suitable as a textbook for short introductory courses on algebra in logic.

Algebraic Methods in Philosophical Logic

Author : J. Michael Dunn
Publisher : OUP Oxford
ISBN 13 : 0191589225
Total Pages : 490 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis Algebraic Methods in Philosophical Logic by : J. Michael Dunn

Download or read book Algebraic Methods in Philosophical Logic written by J. Michael Dunn and published by OUP Oxford. This book was released on 2001-06-28 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive text demonstrates how various notions of logic can be viewed as notions of universal algebra. It is aimed primarily for logisticians in mathematics, philosophy, computer science and linguistics with an interest in algebraic logic, but is also accessible to those from a non-logistics background. It is suitable for researchers, graduates and advanced undergraduates who have an introductory knowledge of algebraic logic providing more advanced concepts, as well as more theoretical aspects. The main theme is that standard algebraic results (representations) translate into standard logical results (completeness). Other themes involve identification of a class of algebras appropriate for classical and non-classical logic studies, including: gaggles, distributoids, partial- gaggles, and tonoids. An imporatant sub title is that logic is fundamentally information based, with its main elements being propositions, that can be understood as sets of information states. Logics are considered in various senses e.g. systems of theorems, consequence relations and, symmetric consequence relations.

Abstract Algebraic Logic. an Introductory Textbook

Author : Josep Maria Font
Publisher :
ISBN 13 : 9781848902077
Total Pages : 554 pages
Book Rating : 4.9/5 (2 download)

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Book Synopsis Abstract Algebraic Logic. an Introductory Textbook by : Josep Maria Font

Download or read book Abstract Algebraic Logic. an Introductory Textbook written by Josep Maria Font and published by . This book was released on 2016-04-11 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract algebraic logic is the more general and abstract side of algebraic logic, the branch of mathematics that studies the connections between logics and their algebra-based semantics. This emerging subfield of mathematical logic consolidated since the 1980s, and is considered as the algebraic logic of the twenty-first century; as such it is increasingly becoming an indispensable tool to approach the algebraic study of any (mainly sentential) logic in a systematic way. This book is an introductory textbook on abstract algebraic logic, and takes a bottom-up approach, treating first logics with a simpler algebraic study, such as Rasiowa's implicative logics, and then guides readers, by means of successive steps of generalization and abstraction, to meet more and more complicated algebra-based semantics. An entire chapter is devoted to Blok and Pigozzi's theory of algebraizable logics, proving the main theorems and incorporating later developments by other scholars. After a chapter with the basics of the classical theory of matrices, one chapter is devoted to an in-depth exposition of the semantics of generalized matrices. There are also two more avanced chapters providing introductions to the two hierachies that organize the logical landscape according to the criteria of abstract algebraic logic, the Leibniz hierarchy and the Frege hierarchy. All throughout the book, particular care is devoted to the presentation and classification of dozens of examples of particular logics. The book is addressed to mathematicians and logicians with little or no previous exposure to algebraic logic. Some acquaintance with examples of non-classical logics is desirable in order to appreciate the extremely general theory. The book is written with students (or beginners in the field) in mind, and combines a textbook style in its main sections, including more than 400 carefully graded exercises, with a survey style in the exposition of some research directions. The book includes scattered historical notes and numerous bibliographic references.

An Algebraic Introduction to Mathematical Logic

Author : D.W. Barnes
Publisher : Springer Science & Business Media
ISBN 13 : 1475744897
Total Pages : 129 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis An Algebraic Introduction to Mathematical Logic by : D.W. Barnes

Download or read book An Algebraic Introduction to Mathematical Logic written by D.W. Barnes and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended for mathematicians. Its origins lie in a course of lectures given by an algebraist to a class which had just completed a substantial course on abstract algebra. Consequently, our treatment of the subject is algebraic. Although we assume a reasonable level of sophistication in algebra, the text requires little more than the basic notions of group, ring, module, etc. A more detailed knowledge of algebra is required for some of the exercises. We also assume a familiarity with the main ideas of set theory, including cardinal numbers and Zorn's Lemma. In this book, we carry out a mathematical study of the logic used in mathematics. We do this by constructing a mathematical model of logic and applying mathematics to analyse the properties of the model. We therefore regard all our existing knowledge of mathematics as being applicable to the analysis of the model, and in particular we accept set theory as part of the meta-Ianguage. We are not attempting to construct a foundation on which all mathematics is to be based--rather, any conclusions to be drawn about the foundations of mathematics come only by analogy with the model, and are to be regarded in much the same way as the conclusions drawn from any scientific theory.

Logic of Mathematics

Author : Zofia Adamowicz
Publisher : John Wiley & Sons
ISBN 13 : 1118030796
Total Pages : 276 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Logic of Mathematics by : Zofia Adamowicz

Download or read book Logic of Mathematics written by Zofia Adamowicz and published by John Wiley & Sons. This book was released on 2011-09-26 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: A thorough, accessible, and rigorous presentation of the central theorems of mathematical logic . . . ideal for advanced students of mathematics, computer science, and logic Logic of Mathematics combines a full-scale introductory course in mathematical logic and model theory with a range of specially selected, more advanced theorems. Using a strict mathematical approach, this is the only book available that contains complete and precise proofs of all of these important theorems: * Gödel's theorems of completeness and incompleteness * The independence of Goodstein's theorem from Peano arithmetic * Tarski's theorem on real closed fields * Matiyasevich's theorem on diophantine formulas Logic of Mathematics also features: * Full coverage of model theoretical topics such as definability, compactness, ultraproducts, realization, and omission of types * Clear, concise explanations of all key concepts, from Boolean algebras to Skolem-Löwenheim constructions and other topics * Carefully chosen exercises for each chapter, plus helpful solution hints At last, here is a refreshingly clear, concise, and mathematically rigorous presentation of the basic concepts of mathematical logic-requiring only a standard familiarity with abstract algebra. Employing a strict mathematical approach that emphasizes relational structures over logical language, this carefully organized text is divided into two parts, which explain the essentials of the subject in specific and straightforward terms. Part I contains a thorough introduction to mathematical logic and model theory-including a full discussion of terms, formulas, and other fundamentals, plus detailed coverage of relational structures and Boolean algebras, Gödel's completeness theorem, models of Peano arithmetic, and much more. Part II focuses on a number of advanced theorems that are central to the field, such as Gödel's first and second theorems of incompleteness, the independence proof of Goodstein's theorem from Peano arithmetic, Tarski's theorem on real closed fields, and others. No other text contains complete and precise proofs of all of these theorems. With a solid and comprehensive program of exercises and selected solution hints, Logic of Mathematics is ideal for classroom use-the perfect textbook for advanced students of mathematics, computer science, and logic.

The Logic Of Chance

Author : John Venn
Publisher : Legare Street Press
ISBN 13 : 9781015943124
Total Pages : 0 pages
Book Rating : 4.9/5 (431 download)

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Book Synopsis The Logic Of Chance by : John Venn

Download or read book The Logic Of Chance written by John Venn 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.

Boolean Reasoning

Author : Frank Markham Brown
Publisher : Courier Corporation
ISBN 13 : 0486164594
Total Pages : 308 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Boolean Reasoning by : Frank Markham Brown

Download or read book Boolean Reasoning written by Frank Markham Brown and published by Courier Corporation. This book was released on 2012-02-10 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concise text begins with overview of elementary mathematical concepts and outlines theory of Boolean algebras; defines operators for elimination, division, and expansion; covers syllogistic reasoning, solution of Boolean equations, functional deduction. 1990 edition.

Scenes of Clerical Life (Classic Reprint)

Author : George Eliot
Publisher : Forgotten Books
ISBN 13 :
Total Pages : 312 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis Scenes of Clerical Life (Classic Reprint) by : George Eliot

Download or read book Scenes of Clerical Life (Classic Reprint) written by George Eliot and published by Forgotten Books. This book was released on 1900 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Scenes of Clerical Life Litany, only to feel with more intensity my burst into the conspicuousness of public life when I was made to stand up on the seat during the psalms or the singing. 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.

Mathematics and Logic

Author : Mark Kac
Publisher : Courier Corporation
ISBN 13 : 0486670856
Total Pages : 189 pages
Book Rating : 4.4/5 (866 download)

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Book Synopsis Mathematics and Logic by : Mark Kac

Download or read book Mathematics and Logic written by Mark Kac and published by Courier Corporation. This book was released on 1992-01-01 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fascinating study of the origin and nature of mathematical thought, including relation of mathematics and science, 20th-century developments, impact of computers, and more.Includes 34 illustrations. 1968 edition."

The Algebra of Logic

Author : Louis Couturat
Publisher :
ISBN 13 : 9781688385412
Total Pages : 94 pages
Book Rating : 4.3/5 (854 download)

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Book Synopsis The Algebra of Logic by : Louis Couturat

Download or read book The Algebra of Logic written by Louis Couturat and published by . This book was released on 2019-08-24 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Logic is a necessary preliminary to logical Mathematics. MathematicalLogic is the name given by Peano to what is also known (afterVenn ) as Symbolic Logic; and Symbolic Logic is, in essentials, the Logicof Aristotle, given new life and power by being dressed up in the wonderfulalmost magicalarmour and accoutrements of Algebra. In less than seventyyears, logic, to use an expression of De Morgan's, has so thriven upon symbolsand, in consequence, so grown and altered that the ancient logicians wouldnot recognize it, and many old-fashioned logicians will not recognize it. Themetaphor is not quite correct: Logic has neither grown nor altered, but we nowsee more of it and more into it.

Don Pigozzi on Abstract Algebraic Logic, Universal Algebra, and Computer Science

Author : Janusz Czelakowski
Publisher : Springer
ISBN 13 : 331974772X
Total Pages : 476 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Don Pigozzi on Abstract Algebraic Logic, Universal Algebra, and Computer Science by : Janusz Czelakowski

Download or read book Don Pigozzi on Abstract Algebraic Logic, Universal Algebra, and Computer Science written by Janusz Czelakowski and published by Springer. This book was released on 2018-03-20 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book celebrates the work of Don Pigozzi on the occasion of his 80th birthday. In addition to articles written by leading specialists and his disciples, it presents Pigozzi’s scientific output and discusses his impact on the development of science. The book both catalogues his works and offers an extensive profile of Pigozzi as a person, sketching the most important events, not only related to his scientific activity, but also from his personal life. It reflects Pigozzi's contribution to the rise and development of areas such as abstract algebraic logic (AAL), universal algebra and computer science, and introduces new scientific results. Some of the papers also present chronologically ordered facts relating to the development of the disciplines he contributed to, especially abstract algebraic logic. The book offers valuable source material for historians of science, especially those interested in history of mathematics and logic.