Algebraic Methods in Philosophical Logic
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Algebraic Methods in Philosophical Logic by J. Michael Dunn
Book DescriptionThis 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.
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Book DetailsISBN: 9780198531920
(242mm x 163mm x 29mm)
Imprint: Oxford University Press
Publisher: Oxford University Press
Publish Date: 28-Jun-2001
Country of Publication: United Kingdom
Books By Author J. Michael Dunn
Generalized Galois Logics, Paperback (July 2008)» View all books by J. Michael Dunn
Develops a uniform framework of relational semantics to mediate between logical calculi and their semantics through algebra. This volume addresses normal modal logics such as K and S5, and substructural logics, including relevance logics, linear logic, and Lambek calculi.
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