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Logics of variable inclusion and the lattice of consequence relations
In this paper, first, we determine the number of sublogics of variable inclusion of an arbitrary finitary logic (Formula presented.) with a composition term.
Michele Pra Baldi
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A Discrete Duality Between Nonmonotonic Consequence Relations and Convex Geometries [PDF]
In this paper we present a duality between nonmonotonic consequence relations and well-founded convex geometries. On one side of the duality we consider nonmonotonic consequence relations satisfying the axioms of an infinitary variant of System P, which ...
Johannes Marti
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2022
AbstractAn in-depth study of the concept of a consequence relation, culminating in the concept of a Lindenbaum-Tarski algebra, intended for advanced undergraduate and graduate students in mathematics and graduate students in philosophy, as well as researchers in the field of mathematical and philosophical logic. The book is aimed to fill the niche left
Alex Citkin, Alexei Muravitsky
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AbstractAn in-depth study of the concept of a consequence relation, culminating in the concept of a Lindenbaum-Tarski algebra, intended for advanced undergraduate and graduate students in mathematics and graduate students in philosophy, as well as researchers in the field of mathematical and philosophical logic. The book is aimed to fill the niche left
Alex Citkin, Alexei Muravitsky
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Psychological consequences of relational mobility
Current Opinion in Psychology, 2020Relational mobility is a socio-ecological variable that represents how much freedom and opportunity a society affords individuals to select and replace interpersonal relationships based on their personal preferences. As a socio-ecological dimension of variation in human societies, relational mobility can vary between countries, regions, and different ...
Masaki, Yuki, Joanna, Schug
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WHAT IS A NONMONOTONIC CONSEQUENCE RELATION?
Fundamenta Informaticae, 1994This paper is an attempt to articulate and respond to a philosophical problem about the general idea of a nonmonotonic consequence relation. The problem concerns the clarification of the target notion that various particular nonmonotonic theories, both model-theoretic and proof- theoretic, are attempting to explicate.
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‘Transitivity’ of Consequence Relations
2015A binary relation R on a set S is transitive iff for all a, b, c ∈ S, if aRb and bRc, then aRc. This almost never applies to the relations logicians tend to think of as consequence relations; where such relations are relations on a set at all, they are rarely transitive.
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A History of The Consequence Relations
Consequence is a, if not. the, core subject matter of logic. Aristotle's study of the syllxogism instigated the task of categorising arguments into the logically good and the logically bad; the task remains an essential element of the study of logic.
Conrad Asmus, Greg Restall
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