Algebraic Methods in Philosophical Logic: 41 (Oxford Logic Guides) - Hardcover

Dunn, J. Michael; Hardegree, Gary

Hardcover

ISBN 10: 0198531923 ISBN 13: 9780198531920

Publisher: OUP Oxford, 2001

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.

About this title

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

Edition details

• Publisher: OUP Oxford
• Publication date: 2001
• Language: English
• ISBN 10: 0198531923
• ISBN 13: 9780198531920
• Binding: Hardcover
• Number of pages: 486