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＜電子ブック＞
Logics of Variable Inclusion / by Stefano Bonzio, Francesco Paoli, Michele Pra Baldi
(Trends in Logic, Studia Logica Library. ISSN:22127313 ; 59)

版	1st ed. 2022.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2022
大きさ	X, 221 p. 4 illus : online resource
著者標目	*Bonzio, Stefano author Paoli, Francesco author Pra Baldi, Michele author SpringerLink (Online service)
件　名	LCSH:Logic LCSH:Algebraic logic LCSH:Logic, Symbolic and mathematical FREE:Logic FREE:Algebraic Logic FREE:Mathematical Logic in Philosophy
一般注記	Chapter 1. Analyticity, Consequence, and Meaninglessness -- Chapter 2. Płonka Sums and Regular Varieties -- Chapter 3. Dualities for Regular Varieties -- Chapter 4. Logics of Left Variable Inclusion -- Chapter 5. Logics of Right Variable Inclusion -- Chapter 6. Paraconsistent Weak Kleene Logic This monograph shows that, through a recourse to the concepts and methods of abstract algebraic logic, the algebraic theory of regular varieties and the concept of analyticity in formal logic can profitably interact. By extending the technique of Plonka sums from algebras to logical matrices, the authors investigate the different classes of models for logics of variable inclusion and they shed new light into their formal properties. The book opens with the historical origins of logics of variable inclusion and on their philosophical motivations. It includes the basics of the algebraic theory of regular varieties and the construction of Plonka sums over semilattice direct systems of algebra. The core of the book is devoted to an abstract definition of logics of left and right variable inclusion, respectively, and the authors study their semantics using the construction of Plonka sums of matrix models. The authors also cover Paraconsistent Weak Kleene logic and survey its abstract algebraic logical properties. This book is of interest to scholars of formal logic HTTP:URL=https://doi.org/10.1007/978-3-031-04297-3

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