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Inferential and Expressive Capacities of Graphical Representations: Survey and Some Generalizations

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Diagrammatic Representation and Inference (Diagrams 2004)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 2980))

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Abstract

Thanks to recent as well as age-old theoretical studies, we now find at least four important concepts that seem to capture the crucial functional traits of varieties of graphical representations. They are, roughly, the following concepts:

  • Free ride properties: expressing a certain set of information in the system always results in the expression of another, consequential piece of information. The concept has been suggested or proposed, under various names, as an explanation of certain automaticity of inference conducted with the help of graphical systems (Lindsay [1]; Sloman [2]; Barwise and Etchemendy [3]; Larkin and Simon [4]; Shimojima [5]).

  • Auto-consistency: incapacity of the system to express a certain range of inconsistent sets of information. The concept has been suggested as an explanation of the ease of consistency inferences done with the help of graphical systems (Barwise and Etchemendy [6]; Barwise and Etchemendy [7]; Stenning and Inder [8]; Gelernter [9]; Lindsay [1]; Shimojima [10]).

  • Specificity: incapacity of the system to express certain sets of information without choosing to express another, non-consequential piece of information. The concept has been suggested or proposed as an explanation of the difficulty of expressing “abstract” information in certain graphical systems. (Berkeley [11]; Dennett [12]; Pylyshyn [13]; Sloman [2]; Stenning and Oberlander [14]; Shimojima [5]).

  • Meaning derivation properties: capacity to express semantic contents not defined in the basic semantic conventions, but only derivable from them. The concept has been offered as an explanation of the richness of semantic contents of graphics in certain systems. (Kosslyn [15]; Shimojima [16]).

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References

  1. Lindsay, R.K.: Images and inference. In: Glasgow, J.I., Narayanan, N.H., Chandrasekaran, B. (eds.) Diagrammatic Reasoning: Cognitive and Computational Perspectives, pp. 111–135. The MIT Press and the AAAI Press, Cambridge, MA and Menlo Park, CA (1988)

    Google Scholar 

  2. Sloman, A.: Interactions between philosophy and ai: the role of intuition and non-logical reasoning in intelligence. Artificial Intelligence 2, 209–225 (1971)

    Article  Google Scholar 

  3. Barwise, J., Etchemendy, J.: Visual information and valid reasoning. In: Allwein, G., Barwise, J. (eds.) Logical Reasoning with Diagrams, pp. 3–25. Oxford University Press, Oxford (1990)

    Google Scholar 

  4. Larkin, J.H., Simon, H.A.: Why a diagram is (sometimes) worth ten thousand words. In: Glasgow, J., Narayanan, N.H., Chanrasekaran, B. (eds.) Diagrammatic Reasoning: Cognitive and Computational Perspectives, pp. 69–109. AAAI Press, Menlo Park (1987)

    Google Scholar 

  5. Shimojima, A.: Operational constraints in diagrammatic reasoning. In: Barwise, J., Allwein, G. (eds.) Logical Reasoning with Diagrams, pp. 27–48. Oxford University Press, Oxford (1995b)

    Google Scholar 

  6. Barwise, J., Etchemendy, J.: Hyperproof. CSLI Publications, Stanford (1994)

    MATH  Google Scholar 

  7. Barwise, J., Etchemendy, J.: Heterogeneous logic. In: Narayanan, N.H., Chanrasekaran, B. (eds.) Diagrammatic Reasoning: Cognitive and Computational Perspectives, pp. 211–234. AAAI Press, Menlo Park (1995)

    Google Scholar 

  8. Stenning, K., Inder, R.: Applying semantic concepts to analyzing media and modalities. In: Glasgow, J., Narayanan, N.H., Chandrasekaran, B. (eds.) Diagrammatic Reasoning: Cognitive and Computational Perspectives, pp. 303–338. The MIT Press and the AAAI Press, Cambridge, MA and Menlo Park, CA (1995)

    Google Scholar 

  9. Gelernter, H.: Realization of a geometry-theorem proving machine. In: Feigenbaum, E.A., Feldman, J. (eds.) Computers and Thought, pp. 134–152. McGraw Hill, New York (1959)

    Google Scholar 

  10. Shimojima, A.: A logical analysis of graphical consistency proofs. In: Magnani, L., Nersessian, N., Pizzi, C. (eds.) Proceedings of MBR 2001 (tentative title), Kluwer Academic Publishers, Dordrecht (2001) (forthcoming)

    Google Scholar 

  11. Berkeley, G.: A Treatise Concerning Principles of Human Knowledge. The Library of Liberal Arts. The Bobbs-Merrill Company, Inc., Indianapolis (1710)

    Google Scholar 

  12. Dennett, D.C.: Content and Consciousness. International library of philosophy and scientific method. Routledge and Kegan Paul, London (1969)

    Google Scholar 

  13. Pylyshyn, Z.W.: What the mind’s eye tells the mind’s brain: A critique of mental imagery. Psychological Bulletin 80, 1–24 (1973)

    Article  Google Scholar 

  14. Stenning, K., Oberlander, J.: A cognitive theory of graphical and linguistic reasoning: Logic and implementation. Cognitive Science 19, 97–140 (1995)

    Article  Google Scholar 

  15. Kosslyn, S.M.: Elements of Graph Design. W.H. Freeman and Company, New York (1994)

    Google Scholar 

  16. Shimojima, A.: Derivative meaning in graphical representations. In: Proceedings of the 1999 IEEE Symposium on Visual Languages, pp. 212–219. IEEE Computer Society, Washington (1999)

    Chapter  Google Scholar 

  17. Dretske, F.I.: Knowledge and the Flow of Information. The MIT Press, Cambridge (1981)

    Google Scholar 

  18. Narayanan, N.H., Suwa, M., Motoda, H.: Hypothesizing behaviors from device diagrams. In: Glasgow, J., Narayanan, N.H., Chanrasekaran, B. (eds.) Diagrammatic Reasoning: Cognitive and Computational Perspectives, pp. 501–534. AAAI Press, Menlo Park (1995)

    Google Scholar 

  19. Hegarty, M.: Mental animation. In: Glasgow, J., Narayanan, N.H., Chanrasekaran, B. (eds.) Diagrammatic Reasoning: Cognitive and Computational Perspectives, pp. 535–575. AAAI Press, Menlo Park (1992)

    Google Scholar 

  20. Cheng, P.C.H.: Components of a cognitive theory of problem-solving and discovery with law encoding diagrams. In: Anderson, M. (ed.) Reasoning with Diagrammatic Representations: Papers from the 1997 AAAI Spring Symposium, pp. 85–93 (1997)

    Google Scholar 

  21. Schwartz, D.L.: Reasoning about the referent of a picture versus reasoning about the picture as the referent: an effect of visual realism. Memory and Cognition 23, 709–722 (1995)

    Article  Google Scholar 

  22. Trafton, J.G., Trickett, S.B.: A new model of graph and visualization usage. In: Proceedings of the Twenty-Third Annual Conference of the Cognitive Science Society, pp. 1048–1053 (2001)

    Google Scholar 

  23. Shimojima, A., Fukaya, T.: Do we really reason about the picture as the referent? In: Proceedings of the Twenty-Third Annual Conference of the Cognitive Science Society (2003), CD–ROM

    Google Scholar 

  24. Bertin, J.: Semiology of Graphics: Diagrams, Networks, Maps. The University of Wisconsin Press, Madison (1973)

    Google Scholar 

  25. Tufte, E.R.: The Visual Display of Quantitative Information. Graphics Press, Cheshire (1983)

    Google Scholar 

  26. Tufte, E.R.: Envisioning Information. Graphics Press, Cheshire (1990)

    Google Scholar 

  27. Tufte, E.R.: Visual Explanations: Images and Quantities, Evidence and Narrative. Graphics Press, Cheshire (1997)

    MATH  Google Scholar 

  28. Wildbur, P., Burke, M.: Information Graphics: Innovative Solutions in Contemporary Design. Thames and Hadson, London (1996)

    Google Scholar 

  29. Henry, G.T.: Graphing Data: Techniques for Display and Analysis. Sage Publications, Thousand Oaks (1995)

    Google Scholar 

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Shimojima, A. (2004). Inferential and Expressive Capacities of Graphical Representations: Survey and Some Generalizations. In: Blackwell, A.F., Marriott, K., Shimojima, A. (eds) Diagrammatic Representation and Inference. Diagrams 2004. Lecture Notes in Computer Science(), vol 2980. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-25931-2_3

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  • DOI: https://doi.org/10.1007/978-3-540-25931-2_3

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