ISBN: 9780198531920

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Algebraic Methods in Philosophical Logic

J. Michael Dunn, Gary Hardegree, J. Michael Dunn and Gary Hardegree


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.

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
J. Michael Dunn , Ewing Professor of Philosophy, Professor of Computer Science, Dean of the School of Informatics, Indiana University, USA, Gary Hardegree , Associate Professor, Department of Philosophy, University of Massachusetts