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Titlebook: Logics of Variable Inclusion; Stefano Bonzio,Francesco Paoli,Michele Pra Baldi Book 2022 The Editor(s) (if applicable) and The Author(s),

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发表于 2025-3-21 19:23:40 | 显示全部楼层 |阅读模式
书目名称Logics of Variable Inclusion
编辑Stefano Bonzio,Francesco Paoli,Michele Pra Baldi
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概述Is the first monograph ever on logics of variable inclusion.Highly relevant to logicians, philosophers and algebraists alike.Puts together two separate research streams, in logic and algebra respectiv
丛书名称Trends in Logic
图书封面Titlebook: Logics of Variable Inclusion;  Stefano Bonzio,Francesco Paoli,Michele Pra Baldi Book 2022 The Editor(s) (if applicable) and The Author(s),
描述.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..
出版日期Book 2022
关键词Many-valued Logics; Logics of Variable Inclusion; Significance Logics; Kleene Logics; Nonclassical Logic
版次1
doihttps://doi.org/10.1007/978-3-031-04297-3
isbn_softcover978-3-031-04299-7
isbn_ebook978-3-031-04297-3Series ISSN 1572-6126 Series E-ISSN 2212-7313
issn_series 1572-6126
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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发表于 2025-3-22 00:10:17 | 显示全部楼层
Stefano Bonzio,Francesco Paoli,Michele Pra Baldideas are described..A.N. Kolmogorov (Tambov 1903, Moscow 1987) was one of the most brilliant mathematicians that the world has ever known. Incredibly deep and creative, he was able to approach each subject with a completely new point of view: in a few magnificent pages, which are models of shrewdnes
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Stefano Bonzio,Francesco Paoli,Michele Pra Baldideas are described..A.N. Kolmogorov (Tambov 1903, Moscow 1987) was one of the most brilliant mathematicians that the world has ever known. Incredibly deep and creative, he was able to approach each subject with a completely new point of view: in a few magnificent pages, which are models of shrewdnes
发表于 2025-3-22 16:23:27 | 显示全部楼层
,Płonka Sums and Regular Varieties, identities, namely, those identities where the same variables appear on both sides. Informally, Płonka sums build new algebras out of families of algebras organised into a certain system, called .. This chapter is a precis of the fundamental results concerning this construction – the connection wit
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Conclusions and Open Problems,ast few years. The main focus of the volume is algebraic, given the prominent role played by the application of Płonka sums to logical matrices. We are not claiming that the algebraic approach is the correct way to address these logics. On the contrary, one of our goals has been to build as many bri
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