Logic and Implication
An Introduction to the General Algebraic Study of Non-classical Logics
Springer International Publishing
ISBN 978-3-030-85675-5
Standardpreis
Bibliografische Daten
eBook. PDF
2022
XXII, 465 p. 17 illus..
In englischer Sprache
Umfang: 465 S.
Verlag: Springer International Publishing
ISBN: 978-3-030-85675-5
Weiterführende bibliografische Daten
Das Werk ist Teil der Reihe: Trends in Logic
Produktbeschreibung
This monograph presents a general theory of weakly implicative logics, a family covering a vast number of non-classical logics studied in the literature, concentrating mainly on the abstract study of the relationship between logics and their algebraic semantics. It can also serve as an introduction to (abstract) algebraic logic, both propositional and first-order, with special attention paid to the role of implication, lattice and residuated connectives, and generalized disjunctions.
Based on their recent work, the authors develop a powerful uniform framework for the study of non-classical logics. In a self-contained and didactic style, starting from very elementary notions, they build a general theory with a substantial number of abstract results. The theory is then applied to obtain numerous results for prominent families of logics and their algebraic counterparts, in particular for superintuitionistic, modal, substructural, fuzzy, and relevant logics.The bookmay be of interest to a wide audience, especially students and scholars in the fields of mathematics, philosophy, computer science, or related areas, looking for an introduction to a general theory of non-classical logics and their algebraic semantics.
Autorinnen und Autoren
Produktsicherheit
Hersteller
Springer Nature Customer Service Center GmbH
ProductSafety@springernature.com