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Algebraic Methods in Philosophical Logic
     

Algebraic Methods in Philosophical Logic

by Michael J. Dunn, Gary M. Hardegree, J. Michael Dunn
 

ISBN-10: 0198531923

ISBN-13: 9780198531920

Pub. Date: 06/28/2001

Publisher: Oxford University Press, USA

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

Overview

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.

Product Details

ISBN-13:
9780198531920
Publisher:
Oxford University Press, USA
Publication date:
06/28/2001
Series:
Oxford Logic Guides Series , #41
Pages:
488
Product dimensions:
9.10(w) x 6.00(h) x 1.20(d)

Table of Contents

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
References
Index

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