Algebraic Methods in Philosophical Logic

J Michael Dunn

ISBN 10: 0198531923 / ISBN 13: 9780198531920

Published by Oxford University Press (UK) Aug 2001, 2001

About this Item

Neuware - This comprehensive text demonstrates how various notions of logic can be viewed as notions of universal algebra. It is aimed primarily at 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. The premise of the text is that standard algebraic results (representations) translate into standard logical results (completeness) and it identifies classes of algebras appropriate for classical and non-classical logic studies, including: gaggles, distributoids, partial- gaggles, and tonoids. Also discused is the idea 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 such as systems of theorems, consequence relations and, symmetric consequence relations.

Seller Inventory # 9780198531920

Bibliographic Details

• Title: Algebraic Methods in Philosophical Logic
• Publisher: Oxford University Press (UK) Aug 2001
• Publication Date: 2001
• Language: English
• ISBN 10: 0198531923
• ISBN 13: 9780198531920
• Binding: Buch
• Condition: Neu
• Dimensions: 241W x 164H x 32D millimeters 241 millimeters width by 164 millimeters height by 32 millimeters depth
• Weight: 825 grams

About this title

Synopsis

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.

Review

"This book provides an introduction tot he algebraic study of classical and non-classical propositional logics. . . . The general theme of the text is to show how standard logical results, such as completeness, are obtained from standard algebraic results, such as representation theorems. . . . Overall, the book is a rich source of information and the authors' style of presentation makes it enjoyable to read." -- Mathematical Reviews