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  1.  13
    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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  2.  8
    Relating Semantics for Epistemic Logic.Alessandro Giordani - 2021 - Logic and Logical Philosophy 30 (4):681-709.
    The aim of this paper is to explore the advantages deriving from the application of relating semantics in epistemic logic. As a first step, I will discuss two versions of relating semantics and how they can be differently exploited for studying modal and epistemic operators. Next, I consider several standard frameworks which are suitable for modelling knowledge and related notions, in both their implicit and their explicit form and present a simple strategy by virtue of which they can be associated (...)
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  3.  19
    Alternative semantics for normative reasoning with an application to regret and responsibility.Daniela Glavaničová & Matteo Pascucci - 2021 - Logic and Logical Philosophy 30 (4):653-679.
    We provide a fine-grained analysis of notions of regret and responsibility (such as agent-regret and individual responsibility) in terms of a language of multimodal logic. This language undergoes a detailed semantic analysis via two sorts of models: (i) relating models, which are equipped with a relation of propositional pertinence, and (ii) synonymy models, which are equipped with a relation of propositional synonymy. We specify a class of strictly relating models and show that each synonymy model can be transformed into an (...)
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  4.  3
    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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  5.  6
    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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  6. Extension and Self-Connection.Ben Blumson & Manikaran Singh - 2021 - Logic and Logical Philosophy 30 (3):435-59.
    If two self-connected individuals are connected, it follows in classical extensional mereotopology that the sum of those individuals is self-connected too. Since mainland Europe and mainland Asia, for example, are both self-connected and connected to each other, mainland Eurasia is also self-connected. In contrast, in non-extensional mereotopologies, two individuals may have more than one sum, in which case it does not follow from their being self-connected and connected that the sum of those individuals is self-connected too. Nevertheless, one would still (...)
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  7. Twist-Valued Models for Three-valued Paraconsistent Set Theory.Walter Carnielli & Marcelo E. Coniglio - 2021 - Logic and Logical Philosophy 30 (2):187-226.
    Boolean-valued models of set theory were independently introduced by Scott, Solovay and Vopěnka in 1965, offering a natural and rich alternative for describing forcing. The original method was adapted by Takeuti, Titani, Kozawa and Ozawa to lattice-valued models of set theory. After this, Löwe and Tarafder proposed a class of algebras based on a certain kind of implication which satisfy several axioms of ZF. From this class, they found a specific 3-valued model called PS3 which satisfies all the axioms of (...)
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  8. A Defeasible Calculus for Zetetic Agents.Jared A. Millson - 2021 - Logic and Logical Philosophy 30 (1):3-37.
    The study of defeasible reasoning unites epistemologists with those working in AI, in part, because both are interested in epistemic rationality. While it is traditionally thought to govern the formation and (with)holding of beliefs, epistemic rationality may also apply to the interrogative attitudes associated with our core epistemic practice of inquiry, such as wondering, investigating, and curiosity. Since generally intelligent systems should be capable of rational inquiry, AI researchers have a natural interest in the norms that govern interrogative attitudes. Following (...)
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  9.  33
    Nicolai Hartmann and the Transcendental Method.Alicja Pietras - 2021 - Logic and Logical Philosophy 30 (No 3):461–492.
    One of the most often explored, repeatedly interpreted, and recognized again and again as a valuable achievement of Kant’s philosophy, is his transcendental philosophy, a new methodological approach that – as Kant believed – will allow philosophy (metaphysics) to enter upon a secure path of science. In this paper, I explore Nicolai Hartmann’s reinterpretation and development of this methodology in both the historical and systematic context of his thought. First, I will deal with the Neo-Kantian’s understanding of the transcendental method (...)
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