Logics of variable inclusion [electronic resource]
- 作者： Bonzio, Stefano.
- 其他作者：
- 其他題名：
- Trends in logic, studia logica library ;
- 出版： Cham : Springer International Publishing :Imprint: Springer
- 叢書名： Trends in logic, studia logica library,v. 59
- 主題： Algebraic logic. , Logic. , Algebraic Logic. , Mathematical Logic in Philosophy.
- ISBN： 9783031042973 (electronic bk.) 、 9783031042966 (paper)
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FIND@SFXID:
CGU
- 資料類型: 電子書
- 內容註: Chapter 1. Analyticity, Consequence, and Meaninglessness -- Chapter 2. P?onka 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.
- 摘要註: 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.
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讀者標籤：
- 系統號： 005515809 | 機讀編目格式
館藏資訊
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.