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Author : Alexander Macfarlane
Publisher :
ISBN 13 :
Total Pages : 220 pages
Book Rating : 4.3/5 (91 download)
Download or read book Principles of the Algebra of Logic written by Alexander Macfarlane and published by . This book was released on 1879 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alex Macfarlane
Publisher : Forgotten Books
ISBN 13 : 9781330130865
Total Pages : 169 pages
Book Rating : 4.1/5 (38 download)
Download or read book Principles of the Algebra of Logic written by Alex Macfarlane and published by Forgotten Books. This book was released on 2015-06-16 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Principles of the Algebra of Logic: With Examples These 'Principles' were originally contributed to the Royal Society of Edinburgh in a Memoir received by the Secretary 9th October 1878, and in a supplementary paper received 5th November. I had the honour of reading an Abstract before the Society at the meetings of 16th December and 20th January. In the interval between the 5th November and the present time I have improved several of the demonstrations, introduced illustrative matter, and prepared the collection of examples. The work, in its present state, forms an elementary treatise on the science of Formal Reasoning. I consider it proper to state that the theory of the operation of the mind in reasoning about Quality, which is advanced in this work, occurred to me five years ago; and that I have directed towards its development the whole of my subsequent study of the Mathematical, Physical, and Natural Sciences, which are embraced in the curriculum for the degree of Doctor of Science (Mathematics) at the University of Edinburgh. 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.
Author : Alexander MacFarlane
Publisher : Legare Street Press
ISBN 13 : 9781017870824
Total Pages : 0 pages
Book Rating : 4.8/5 (78 download)
Download or read book Principles of the Algebra of Logic written by Alexander MacFarlane 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.
Author : Alexander MacFarlane
Publisher : Palala Press
ISBN 13 : 9781355889014
Total Pages : 172 pages
Book Rating : 4.8/5 (89 download)
Download or read book Principles of the Algebra of Logic, with Examples written by Alexander MacFarlane and published by Palala Press. This book was released on 2016-05-07 with total page 172 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 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.
Author : Alexander 1851-1913 MacFarlane
Publisher : Wentworth Press
ISBN 13 : 9781363696802
Total Pages : 172 pages
Book Rating : 4.6/5 (968 download)
Download or read book PRINCIPLES OF THE ALGEBRA OF L written by Alexander 1851-1913 MacFarlane and published by Wentworth Press. This book was released on 2016-08-27 with total page 172 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 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.
Author : Alex MacFarlane
Publisher : Forgotten Books
ISBN 13 : 9780331643855
Total Pages : 170 pages
Book Rating : 4.6/5 (438 download)
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.
Author : Louis Couturat
Publisher :
ISBN 13 :
Total Pages : 140 pages
Book Rating : 4.F/5 ( download)
Download or read book The Algebra of Logic written by Louis Couturat and published by . This book was released on 1914 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alexander MacFarlane
Publisher : Scholar's Choice
ISBN 13 : 9781298077868
Total Pages : 168 pages
Book Rating : 4.0/5 (778 download)
Download or read book Principles of the Algebra of Logic - Scholar's Choice Edition written by Alexander MacFarlane and published by Scholar's Choice. This book was released on 2015-02-17 with total page 168 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 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.
Author : Alfred North Whitehead
Publisher :
ISBN 13 :
Total Pages : 688 pages
Book Rating : 4.3/5 (91 download)
Download or read book Principia Mathematica written by Alfred North Whitehead and published by . This book was released on 1910 with total page 688 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David Hilbert
Publisher : American Mathematical Soc.
ISBN 13 : 0821820249
Total Pages : 186 pages
Book Rating : 4.8/5 (218 download)
Download or read book Principles of Mathematical Logic written by David Hilbert and published by American Mathematical Soc.. This book was released on 1999 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: David Hilbert was particularly interested in the foundations of mathematics. Among many other things, he is famous for his attempt to axiomatize mathematics. This now classic text is his treatment of symbolic logic. It lays the groundwork for his later work with Bernays. This translation is based on the second German edition, and has been modified according to the criticisms of Church and Quine. In particular, the authors' original formulation of Gödel's completeness proof for the predicate calculus has been updated. In the first half of the twentieth century, an important debate on the foundations of mathematics took place. Principles of Mathematical Logic represents one of Hilbert's important contributions to that debate. Although symbolic logic has grown considerably in the subsequent decades, this book remains a classic.
Author : Bertrand Russell
Publisher : W. W. Norton & Company
ISBN 13 : 9780393314045
Total Pages : 580 pages
Book Rating : 4.3/5 (14 download)
Download or read book The Principles of Mathematics written by Bertrand Russell and published by W. W. Norton & Company. This book was released on 1996 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: Russell's classic The Principles of Mathematics sets forth his landmark thesis that mathematics and logic are identical--that what is commonly called mathematics is simply later deductions from logical premises.
Author : Alexander Macfarlane (F.R.S.E.)
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (139 download)
Download or read book Principles of the Algebra of Logic with Examples written by Alexander Macfarlane (F.R.S.E.) and published by . This book was released on 1879 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Bradford Henry Arnold
Publisher : Courier Corporation
ISBN 13 : 0486483851
Total Pages : 163 pages
Book Rating : 4.4/5 (864 download)
Download or read book Logic and Boolean Algebra written by Bradford Henry Arnold and published by Courier Corporation. This book was released on 2011-01-01 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: Orignally published: Englewood Cliffs, N.J.: Prentice-Hall, 1962.
Author : J.M. Bochenski
Publisher : Springer Science & Business Media
ISBN 13 : 9401705925
Total Pages : 109 pages
Book Rating : 4.4/5 (17 download)
Download or read book A Precis of Mathematical Logic written by J.M. Bochenski and published by Springer Science & Business Media. This book was released on 2013-04-18 with total page 109 pages. Available in PDF, EPUB and Kindle. Book excerpt: The work of which this is an English translation appeared originally in French as Precis de logique mathematique. In 1954 Dr. Albert Menne brought out a revised and somewhat enlarged edition in German (Grund riss der Logistik, F. Schoningh, Paderborn). In making my translation I have used both editions. For the most part I have followed the original French edition, since I thought there was some advantage in keeping the work as short as possible. However, I have included the more extensive historical notes of Dr. Menne, his bibliography, and the two sections on modal logic and the syntactical categories (§ 25 and 27), which were not in the original. I have endeavored to correct the typo graphical errors that appeared in the original editions and have made a few additions to the bibliography. In making the translation I have profited more than words can tell from the ever-generous help of Fr. Bochenski while he was teaching at the University of Notre Dame during 1955-56. OTTO BIRD Notre Dame, 1959 I GENERAL PRINCIPLES § O. INTRODUCTION 0. 1. Notion and history. Mathematical logic, also called 'logistic', ·symbolic logic', the 'algebra of logic', and, more recently, simply 'formal logic', is the set of logical theories elaborated in the course of the last century with the aid of an artificial notation and a rigorously deductive method.
Author : Louis Couturat
Publisher :
ISBN 13 : 9781537077789
Total Pages : 94 pages
Book Rating : 4.0/5 (777 download)
Download or read book The Algebra of Logic written by Louis Couturat and published by . This book was released on 2016-08-13 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt: The algebra of logic was founded by George Boole (1815-1864); it was developed and perfected by Ernst Schroder (1841-1902) The fundamental laws of this calculus were devised to express the principles of reasoning, the laws of thought But this calculus may be considered from the purely formal point of view, which is that of mathematics, as an algebra based upon certain principles arbitrarily laid down It belongs to the realm of philosophy to decide whether, and in what measure, this calculus corresponds to the actual operations of the mind, and is adapted to translate or even to replace argument; we cannot discuss this point here The formal value of this calculus and its interest for the mathematician are absolutely independent of the interpretation given it and of the application which can be made of it to logical problems In short, we shall discuss it not as logic but as algebra. Contents Preface Bibliography Introduction The Two Interpretations of the Logical Calculus Relation of Inclusion Definition of Equality Principle of Identity Principle of the Syllogism Multiplication and Addition Principles of Simplification and Composition The Laws of Tautology and of Absorption Theorems on Multiplication and Addition The First Formula for Transforming Inclusions into Equalities The Distributive Law Definition of 0 and 1 The Law of Duality Definition of Negation The Principles of Contradiction and of Excluded Middle Law of Double Negation Second Formulas for Transforming Inclusions into Equalities The Law of Couturat Postulate of Existence The Development of 0 and of 1 Properties of the Constituents Logical Functions The Law of Development The Formulas of De Morgan Disjunctive Sums Properties of Developed Functions The Limits of a Function Formula of Poretsky Schroder's Theorem The Resultant of Elimination The Case of Indetermination Sums and Products of Functions.
Author : Louis Couturat
Publisher :
ISBN 13 : 9781724703712
Total Pages : 102 pages
Book Rating : 4.7/5 (37 download)
Download or read book The Algebra of Logic written by Louis Couturat and published by . This book was released on 2018-08-12 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Algebra of Logic: Large Print By Louis Couturat The algebra of logic was founded by George Boole (1815-1864); it was developed and perfected by Ernst Schroder (1841-1902) The fundamental laws of this calculus were devised to express the principles of reasoning, the laws of thought But this calculus may be considered from the purely formal point of view, which is that of mathematics, as an algebra based upon certain principles arbitrarily laid down It belongs to the realm of philosophy to decide whether, and in what measure, this calculus corresponds to the actual operations of the mind, and is adapted to translate or even to replace argument; we cannot discuss this point here The formal value of this calculus and its interest for the mathematician are absolutely independent of the interpretation given it and of the application which can be made of it to logical problems In short, we shall discuss it not as logic but as algebra. Contents Preface Bibliography Introduction The Two Interpretations of the Logical Calculus Relation of Inclusion Definition of Equality Principle of Identity Principle of the Syllogism Multiplication and Addition Principles of Simplification and Composition The Laws of Tautology and of Absorption Theorems on Multiplication and Addition The First Formula for Transforming Inclusions into Equalities The Distributive Law Definition of 0 and 1 The Law of Duality Definition of Negation The Principles of Contradiction and of Excluded Middle Law of Double Negation Second Formulas for Transforming Inclusions into Equalities The Law of Couturat Postulate of Existence The Development of 0 and of 1 Properties of the Constituents Logical Functions The Law of Development The Formulas of De Morgan Disjunctive Sums Properties of Developed Functions The Limits of a Function Formula of Poretsky Schroder's Theorem The Resultant of Elimination The Case of Indetermination Sums and Products of Functions. 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.
Author : Michael L. O'Leary
Publisher : John Wiley & Sons
ISBN 13 : 1118548019
Total Pages : 464 pages
Book Rating : 4.1/5 (185 download)
Download or read book A First Course in Mathematical Logic and Set Theory written by Michael L. O'Leary and published by John Wiley & Sons. This book was released on 2015-09-14 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: A mathematical introduction to the theory and applications of logic and set theory with an emphasis on writing proofs Highlighting the applications and notations of basic mathematical concepts within the framework of logic and set theory, A First Course in Mathematical Logic and Set Theory introduces how logic is used to prepare and structure proofs and solve more complex problems. The book begins with propositional logic, including two-column proofs and truth table applications, followed by first-order logic, which provides the structure for writing mathematical proofs. Set theory is then introduced and serves as the basis for defining relations, functions, numbers, mathematical induction, ordinals, and cardinals. The book concludes with a primer on basic model theory with applications to abstract algebra. A First Course in Mathematical Logic and Set Theory also includes: Section exercises designed to show the interactions between topics and reinforce the presented ideas and concepts Numerous examples that illustrate theorems and employ basic concepts such as Euclid’s lemma, the Fibonacci sequence, and unique factorization Coverage of important theorems including the well-ordering theorem, completeness theorem, compactness theorem, as well as the theorems of Löwenheim–Skolem, Burali-Forti, Hartogs, Cantor–Schröder–Bernstein, and König An excellent textbook for students studying the foundations of mathematics and mathematical proofs, A First Course in Mathematical Logic and Set Theory is also appropriate for readers preparing for careers in mathematics education or computer science. In addition, the book is ideal for introductory courses on mathematical logic and/or set theory and appropriate for upper-undergraduate transition courses with rigorous mathematical reasoning involving algebra, number theory, or analysis.
