Titlebook: Algebraic and Proof-theoretic Aspects of Non-classical Logics; Papers in Honor of D Stefano Aguzzoli,Agata Ciabattoni,Vincenzo Marra Book 2

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Adenocarcinoma

https://doi.org/10.1007/978-3-658-12469-4An outline of the history of the algebras corresponding to Łukasiewicz many-valued logic from the pioneering work by G. Moisil in 1940 until D. Mundici’s work in 1986.

Polydipsia

https://doi.org/10.1007/978-3-662-66389-9We try to make a distinction between the idea of representing and that of interpreting a mathematical structure. We present a slight generalization of Di Nola’s Representation Theorem as to incorporate this point of view. Furthermore, we examine some preservation and functorial aspects of the Boolean power construction.

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Das Recht auf kommunikative GrundversorgungBasic constructions of two different theories are presented. The first one is based on the Łukasiewicz connectives, the second on the max - min connectives. In both cases the joint observable is constructed. As an application the central limit theorem is proved.

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HAIL

,The Algebras of Łukasiewicz Many-Valued Logic: A Historical Overview,An outline of the history of the algebras corresponding to Łukasiewicz many-valued logic from the pioneering work by G. Moisil in 1940 until D. Mundici’s work in 1986.

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A Note on Representing and Interpreting MV-Algebras,We try to make a distinction between the idea of representing and that of interpreting a mathematical structure. We present a slight generalization of Di Nola’s Representation Theorem as to incorporate this point of view. Furthermore, we examine some preservation and functorial aspects of the Boolean power construction.

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ATOPY