Remarks on semantic information and logic

  • A 16-element lattice \(16_{inf}\) of generalized semantical values pre-ordered by set-inclusion as an information order is presented. The propositional logic Inf of that lattice is axiomatized and a generalization of \(16_{inf}\) to a 65536-element pentalattice is suggested.

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Author:Heinrich WansingORCiDGND
Parent Title (English):Logic Yearbook 2022
Subtitle (English):From semantic tetralateralism to the pentalattice \(65536_5\)
Publisher:College Publications
Place of publication:Rickmansworth
Document Type:Part of a Book
Date of Publication (online):2024/04/24
Date of first Publication:2023/12/20
Publishing Institution:Ruhr-Universität Bochum, Universitätsbibliothek
Tag:Generalized semantical values; Informational interpretation; Kripke semantics; Negation inconsistency; Semantic tetra- lateralism
First Page:165
Last Page:186
ConLog, Projekt ID: 101018280
Relation (DC):info:eu-repo/grantAgreement/EC/H2020/101018280
Institutes/Facilities:Institut für Philosophie I
Dewey Decimal Classification:Philosophie und Psychologie / Philosophie
faculties:Fakultät für Philosophie und Erziehungswissenschaft
Licence (German):License LogoCreative Commons - CC BY 4.0 - Namensnennung 4.0 International