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  1. History of Relating Logic. The Origin and Research Directions.Mateusz Klonowski - 2021 - Logic and Logical Philosophy 30 (4):579–629.
    In this paper, we present the history of and the research directions in relating logic. For this purpose we will describe Epstein's Programme, which postulates accounting for the content of sentences in logical research. We will focus on analysing the content relationship and Epstein's logics that are based on it, which are special cases of relating logic. Moreover, the set-assignment semantics will be discussed. Next, the Torunian Programme of Relating Semantics will be presented; this programme explores the various non-logical relationships (...)
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  • Relating Logic and Relating Semantics. History, Philosophical Applications and Some of Technical Problems.Tomasz Jarmużek & Francesco Paoli - 2021 - Logic and Logical Philosophy 30 (4):563-577.
    Here, we discuss historical, philosophical and technical problems associated with relating logic and relating semantics. To do so, we proceed in three steps. First, Section 1 is devoted to providing an introduction to both relating logic and relating semantics. Second, we address the history of relating semantics and some of the main research directions and their philosophical applications. Third, we discuss some technical problems related to relating semantics, particularly whether the direct incorporation of the relation into the language of relating (...)
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  • Axiomatization of BLRI Determined by Limited Positive Relational Properties.Tomasz Jarmużek & Mateusz Klonowski - forthcoming - Logic and Logical Philosophy:1-29.
    In the paper a generalised method for obtaining an adequate axiomatic system for any relating logic expressed in the language with Boolean connectives and relating implication, determined by the limited positive relational properties is studied. The method of defining axiomatic systems for logics of a given type is called an algorithm since the analysis allows for any logic determined by the limited positive relational properties to define the adequate axiomatic system automatically, step-by-step. We prove in the paper that the algorithm (...)
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  • Applications of Relating Semantics.Tomasz Jarmużek & Francesco Paoli - forthcoming - Logic and Logical Philosophy:1-17.
    Here, we discuss logical, philosophical and technical problems associated to relating logic and relating semantics. To do so, we proceed in three steps. The first step is devoted to providing an introduction to both relating logic and relating semantics. We discuss this problem on the example of different languages. Second, we address some of the main research directions and their philosophical applications to non-classical logics, particularly to connexive logics. Third, we discuss some technical problems related to relating semantics, and its (...)
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  • Incorporating the Relation into the Language?Luis Estrada-González, Alessandro Giordani, Tomasz Jarmużek, Mateusz Klonowski, Igor Sedlár & Andrew Tedder - 2021 - Logic and Logical Philosophy 30 (4):711–739.
    In this paper we discuss whether the relation between formulas in the relating model can be directly introduced into the language of relating logic, and present some stances on that problem. Other questions in the vicinity, such as what kind of functor would be the incorporated relation, or whether the direct incorporation of the relation into the language of relating logic is really needed, will also be addressed.
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