Algebraic Methods in Philosophical Logic

Klappentext 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. Zusammenfassung 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. Inhaltsverzeichnis 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

Dettagli sul prodotto

• Autori: J. Michael Dunn, J. Michael (Ewing Professor of Philosophy Dunn, J. Michael Hardegree Dunn, Michael J. Dunn, Gary Hardegree, Gary M. Hardegree, Hardegree Gary
• Editore: Oxford University Press
• Lingue: Inglese
• Formato: Copertina rigida
• Pubblicazione: 28.06.2001
• EAN: 9780198531920
• ISBN: 978-0-19-853192-0
• Pagine: 486
• Serie: Oxford Logic Guides; Oxford Logic Guides
• Categorie: Scienze naturali, medicina, informatica, tecnica > Matematica > Aritmetica, algebra; Scienze umane, arte, musica > Filosofia > Tematiche generali, enciclopedie; Algebra, PHILOSOPHY / Logic, MATHEMATICS / History & Philosophy, MATHEMATICS / Logic, MATHEMATICS / Algebra / General, Philosophy of Mathematics, Mathematical logic, Philosophy: logic