The consequence relation preserving logical information

Logic and Logical Philosophy 13:89-120 (2004)
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Abstract

Information is contained in statements and «flows» from their structure and meaning of expressions they contain. The information that flows only from the meaning of logical constants and logical structure of statements we will call logical information. In this paper we present a formal explication of this notion which is proper for sentences being Boolean combination of atomic sentences. 1 Therefore we limit ourselves to analyzing logical information flowing only from the meaning of truth-value connectives and logical structure of sentences connected with these connectives

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Andrzej Pietruszczak
Nicolaus Copernicus University

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References found in this work

The semantic foundations of logic.Richard L. Epstein - 1994 - New York: Oxford University Press.
Boolean-Valued Models and Independence Proofs in Set Theory.J. L. Bell & Dana Scott - 1981 - Journal of Symbolic Logic 46 (1):165-165.
Boolean-Valued Models and Independence Proofs in Set Theory.J. L. Bell & Dana Scott - 1986 - Journal of Symbolic Logic 51 (4):1076-1077.
Einführung in die mathematische Logik.G. Asser - 1963 - Studia Logica 14:343-345.

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