
Algebraic Methods in Philosophical Logic
Oxford University Press
Published on 28. June 2001
Book
Hardback
486 pages
978-0-19-853192-0 (ISBN)
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.
More details
Series
Language
English
Place of publication
Oxford
United Kingdom
Target group
Professional and scholarly
Dimensions
Height: 240 mm
Width: 161 mm
Thickness: 31 mm
Weight
892 gr
ISBN-13
978-0-19-853192-0 (9780198531920)
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Schweitzer Classification
Persons
Author
Ewing Professor of Philosophy, Professor of Computer Science, Dean of the School of InformaticsEwing Professor of Philosophy, Professor of Computer Science, Dean of the School of Informatics, Indiana University, USA
Associate Professor, Department of PhilosophyAssociate Professor, Department of Philosophy, University of Massachusetts
Content
1. Introduction ; 2. Universal Algebra ; 3. Order, Lattices and Boolean Algebras ; 4. Syntax ; 5. Semantics ; 6. Logic ; 7. Matrices and Atlases ; 8. Representation Theorems ; 9. Classical Propositional Logic ; 10. Modal Logic and Closure Algebras ; 11. Intuitionistic Logic ; 12. Gaggles: General Galois Logics ; 13. Representation and Duality ; 14. References ; 15. Index