Logical Reasoning with Diagrams
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...
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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.
Ch. IVisual Information and Valid Reasoning3Ch. IIOperational Constraints in Diagrammatic Reasoning27Ch. IIIDiagrams and the Concept of Logical System49Ch. IVSituation-Theoretic Account of Valid Reasoning with Venn Diagrams81Ch. VTowards a Model Theory of Venn Diagrams109Ch. VIPeircean Graphs for Propositional Logic129Ch. VIIA Diagrammatic Subsystem of Hilbert's Geometry149Ch. VIIIHeterogeneous Logic179Ch. IXToward the Rigorous Use of Diagrams in Reasoning about Hardware201Ch. XExploiting the Potential of Diagrams in Guiding Hardware Reasoning225Bibliography257Index267
