Petr Cintula,Carles Noguera
Logic and Implication: An Introduction to the General Algebraic Study of Non-classical Logics
Logic and Implication: An Introduction to the General Algebraic Study of Non-classical Logics
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- More about Logic and Implication: An Introduction to the General Algebraic Study of Non-classical Logics
This book provides a general theory of weakly implicative logics, covering a wide range of non-classical logics and their algebraic semantics. It is an introduction to (abstract) algebraic logic, focusing on implication, lattice, and residuated connectives, and generalized disjunctions. The authors develop a uniform framework for studying non-classical logics, applied to obtain results for prominent families of logics and their algebraic counterparts. It is of interest to students and scholars in mathematics, philosophy, computer science, and related areas.
Format: Paperback / softback
Length: 465 pages
Publication date: 28 November 2022
Publisher: Springer Nature Switzerland AG
This comprehensive monograph delves into the realm of weakly implicative logics, a vast family of non-classical logics that have been extensively studied in the literature. It primarily focuses on the abstract exploration of the interplay between logics and their algebraic semantics, offering a comprehensive theoretical framework. Moreover, this work serves as an accessible introduction to (abstract) algebraic logic, encompassing both propositional and first-order logic, with a special emphasis on the roles of implication, lattice, and residuated connectives, as well as generalized disjunctions.
Through their extensive research, the authors have unveiled a robust and unified framework for the study of non-classical logics. In a clear and pedagogical manner, they begin with foundational concepts and gradually build a comprehensive theory, yielding numerous abstract results. This theory is then applied to derive numerous insights into prominent families of logics and their algebraic counterparts, particularly in the realms of superintuitionistic, modal, substructural, fuzzy, and relevant logics.
This book holds immense appeal to a diverse audience, including students and scholars in mathematics, philosophy, computer science, and related fields. It provides a thorough introduction to a general theory of non-classical logics and their algebraic semantics, making it an invaluable resource for those seeking to delve into this interdisciplinary domain.
Weight: 741g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030856779
Edition number: 1st ed. 2021
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