Logical Reasoning with Diagrams (Studies in Logic & Computation No.6)
By: Gerard Allwein (author), Jon Barwise (author)Hardback
4 - 6 days availability
One effect of information technology is the increasing need to present information visually. The trend raises intriguing questions. What is the logical status of reasoning that employs visualization? What are the cognitive advantages and pitfalls of this reasoning? What kinds of tools can be developed to aid in the use of visual representation? This newest volume on the Studies in Logic and Computation series addresses the logical aspects of the visualization of information. The authors of these specially commissioned papers explore the properties of diagrams, charts, and maps, and their use in problem solving and teaching basic reasoning skills. As computers make visual representations more commonplace, it is important for professionals, researchers and students in computer science, philosophy, and logic to develop an understanding of these tools; this book can clarify the relationship between visuals and information.
PART A: THEORETICAL ISSUES ; 1. Visual Information and Valid Reasoning ; 2. Operational Constraints in Diagrammatic Reasoning ; 3. Diagrams and the Concept of Logical System ; PART B: CASE STUDIES ; 4. Situation-Theoretic Account of Valid Reasoning with Venn Diagrams ; 5. Towards a Model Theory of Venn Diagrams ; 6. Peircean Graphs for Propositional Logic ; 7. A Diagrammatic Subsystem of Hilbert's Geometry ; PART C: HETEROGENOUS SYSTEMS ; 8. Heterogenous Logic ; 9. Toward the Rigorous Use of Diagrams in Reasoning about Hardware ; 10. Exploiting the Potential of Diagrams in Guiding Hardware Reasoning
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- ID: 9780195104271
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