Principles of the Algebra of Logic PDF Download

Author: Alexander Macfarlane
Publisher:
ISBN:
Category : Logic, Symbolic and mathematical
Languages : en
Pages : 176

View

Book Description

Author: Alex Macfarlane
Publisher: Forgotten Books
ISBN: 9781330130865
Category : Philosophy
Languages : en
Pages : 169

View

Book Description
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: 9781017870824
Category :
Languages : en
Pages : 0

View

Book Description
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: 9781358770517
Category :
Languages : en
Pages :

View

Book Description
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: 9780331643855
Category : Philosophy
Languages : en
Pages : 170

View

Book Description
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: Alexander 1851-1913 MacFarlane
Publisher: Wentworth Press
ISBN: 9781363696802
Category : History
Languages : en
Pages : 172

View

Book Description
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:
Category : Logic, Symbolic and mathematical
Languages : en
Pages : 688

View

Book Description

Author: J. Michael Dunn
Publisher: OUP Oxford
ISBN: 0191589225
Category :
Languages : en
Pages : 490

View

Book Description
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.

Author: Louis Couturat
Publisher: Prabhat Prakashan
ISBN:
Category : Mathematics
Languages : en
Pages : 89

View

Book Description
The Algebra of Logic by Louis Couturat: In this influential work, Louis Couturat presents a comprehensive study of the algebraic foundations of logic. Couturat's rigorous exploration of symbolic logic and its mathematical principles was groundbreaking in the field of philosophy and logic. "The Algebra of Logic" remains an essential text for anyone interested in the philosophical and mathematical underpinnings of logical reasoning. Key Aspects of the Book "The Algebra of Logic": Symbolic Logic: Couturat's book introduces readers to the principles and applications of symbolic logic, emphasizing its formal and mathematical aspects. Logical Notation: The work explores various logical notations and techniques, providing a systematic approach to reasoning and argumentation. Philosophical Significance: "The Algebra of Logic" reflects the philosophical quest to establish a formal and rigorous foundation for logical reasoning. Louis Couturat was a French philosopher, logician, and mathematician born in 1868. He made significant contributions to the study of symbolic logic and the foundations of mathematics. Couturat's scholarly works focused on the philosophy of logic and the development of logical systems. His efforts to promote the use of symbolic logic in philosophical and mathematical inquiry paved the way for the advancement of formal logic in the 20th century.

Author: Paul R. Halmos
Publisher: Courier Dover Publications
ISBN: 0486810410
Category : Mathematics
Languages : en
Pages : 276

View

Book Description
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.