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Diagrammatic representation in geometry

Dialectica 60 (4):369–382 (2006)

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  1. Logical reasoning with diagrams.Gerard Allwein & Jon Barwise (eds.) - 1996 - New York: Oxford University Press.
    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 (...)
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  • (1 other version)Mimesis as make-believe: on the foundations of the representational arts.Kendall L. Walton - 1990 - Cambridge: Harvard University Press.
    Mimesis as Make-Believe is important reading for everyone interested in the workings of representational art.
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  • Picture, Image and Experience: A Philosophical Inquiry.Robert Hopkins - 1998 - New York: Cambridge University Press.
    How do pictures represent? In this book Robert Hopkins casts new light on an ancient question by connecting it to issues in the philosophies of mind and perception. He starts by describing several striking features of picturing that demand explanation. These features strongly suggest that our experience of pictures is central to the way they represent, and Hopkins characterizes that experience as one of resemblance in a particular respect. He deals convincingly with the objections traditionally assumed to be fatal to (...)
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  • Logic and Visual Information.Eric Hammer - 1995 - CSLI Publications.
    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 compution. 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, Pierce diagrams, and a system having both diagrams and sentences among its well-formed representations. (...)
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  • Understanding pictures.Dominic Lopes - 1996 - New York: Oxford University Press.
    There is not one but many ways to picture the world--Australian "x-ray" pictures, cubish collages, Amerindian split-style figures, and pictures in two-point perspective each draw attention to different features of what they represent. Understanding Pictures argues that this diversity is the central fact with which a theory of figurative pictures must reckon. Lopes advances the theory that identifying pictures' subjects is akin to recognizing objects whose appearances have changed over time. He develops a schema for categorizing the different ways pictures (...)
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  • Depiction, perception, and imagination: Responses to Richard Wollheim.Kendall Walton - 2002 - Journal of Aesthetics and Art Criticism 60 (1):27–35.
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