Algebraic Methods in Philosophical Logic

 

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Algebraic Methods in Philosophical Logic


by Gary Hardegree (Author)
by J.Michael Dunn (Author)

 

Hardback

ISBN: 9780198531920

 

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This comprehensive text shows how various notions of logic can be viewed as notions of universal algebra providing more advanced concepts for those who have an introductory knowledge of algebraic logic, as well as those wishing to delve into more theoretical aspects.


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.


 

ISBN 198531923
ISBN13 9780198531920
Publisher Oxford University Press
Format Hardback
Publication date 28/06/2001
Pages 486
Weight (grammes) 807
Published in United Kingdom
Height (mm) 234
Width (mm) 156

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

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