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Logic and Visual Information [Hardback]

  • Formāts: Hardback, 135 pages, height x width x depth: 228x152x15 mm, weight: 369 g
  • Sērija : Studies in Logic Language and Information
  • Izdošanas datums: 01-Jun-1995
  • Izdevniecība: Centre for the Study of Language & Information
  • ISBN-10: 1881526879
  • ISBN-13: 9781881526872
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  • Cena: 65,12 €
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Logic and Visual Information
  • Formāts: Hardback, 135 pages, height x width x depth: 228x152x15 mm, weight: 369 g
  • Sērija : Studies in Logic Language and Information
  • Izdošanas datums: 01-Jun-1995
  • Izdevniecība: Centre for the Study of Language & Information
  • ISBN-10: 1881526879
  • ISBN-13: 9781881526872
Citas grāmatas par šo tēmu:
Examines the logical foundations of visual information.

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.
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.