Logic and Visual Information - Brossura

Hammer, Eric

Brossura

ISBN 10: 1881526992 ISBN 13: 9781881526995

Casa editrice: The Center for the Study of Language and Information Publications, 1995

Riassunto

This book examines the logical foundations of visual information: information presented in the form of diagrams, graphs, charts, tables, and maps. The importance of visual information is clear from its frequent presence in everyday reasoning and communication, and also in computation. Chapters of the book develop the logics of familiar systems of diagrams such as Venn diagrams and Euler circles. Other chapters develop the logic of higraphs, Peirce diagrams, and a system having both diagrams and sentences among its well-formed representations. Syntax, semantics, rules of inference, and soundness and completeness results are provided for each of the systems. In addition to developing the logic of diagrams, key questions about the status of visual information are discussed, such as the relationship between language and visually-presented information.

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Descrizione del libro

This book examines the logical foundations of visual information: information presented in the form of diagrams, graphs, charts, tables, and maps. The importance of visual information is clear from its frequent presence in everyday reasoning and communication, and also in computation.

Contenuti

Introduction; 1. Diagrams and Isomorphism; 1.1 Two-dimensionality; 1.2 Isomorphism thesis; 1.2.1 Informality; 1.2.2 Accidental isomorphism; 1.2.3 Literal preservation; 1.2.4 Non-literal preservation; 1.3 Conclusion; 2. Diagrams and Language; 2.1 Heterogeneous representations; 2.2 Text and meaning; 2.3 Text and efficiency; 2.4 Conclusion; 3. Diagrams and Rigor; 3.1 Proofs and diagrams; 3.2 Individuation of proofs; 3.3 Diagrams and formalization; 3.4 Conclusion; 4. Venn Diagrams; 4.1 Syntax; 4.2 Semantics; 4.3 Rules of inference; 4.4 Shin's theorem; 4.5 Completeness; 4.6 Definability; 4.7 Appendix: Proofs for chapter 4; 5. Venn Diagrams and First-Order Logic; 5.1 Syntax; 5.2 Semantics; 5.3 Rules of inference; 5.4 Completeness; 5.5 Appendix: diagrams and models; 6. Euler Circles; 6.1 Syntax; 6.2 Semantics; 6.3 Euler diagrams and Venn diagrams; 6.4 Rules of inference; 6.5 Completeness theorem; 7. Higraphs; 7.1 Syntax; 7.2 Semantics; 7.3 Rules of inference; 7.4 Completeness; 8. Peirce Diagrams; 8.1 Syntax; 8.1.1 Types and tokens; 8.1.2 Linear notation; 8.2 Semantics; 8.3 Rules of inference; 8.3.1 Provability and peircean provability; 8.4 Soundness; 8.5 Completeness; Conclusion; Bibliography; Indexes.

Dettagli dell'edizione

• Editore: The Center for the Study of Language and Information Publications
• Data di pubblicazione: 1995
• Lingua: Inglese
• ISBN 10: 1881526992
• ISBN 13: 9781881526995
• Rilegatura: Copertina flessibile
• Numero di pagine: 135
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile