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2016 | OriginalPaper | Chapter

Effective Representation of Information: Generalizing Free Rides

Authors : Gem Stapleton, Mateja Jamnik, Atsushi Shimojima

Published in: Diagrammatic Representation and Inference

Publisher: Springer International Publishing

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Abstract

In order to effectively communicate information, the choice of representation is important. Ideally, a representation will aid readers in making desired inferences. In this poster, we introduce the theory of observation: what it means for one statement to be observable from another. Using observability, we sketch a characterization of the observational advantages of one representation over another. By considering observational advantages, people will be able to make better informed choices of representations. To demonstrate the benefit of observation and observational advantages, we apply these concepts to set theory and Euler diagrams. We show that Euler diagrams have significant observational advantages over set theory. This formally justifies Larkin and Simon’s claim that “a diagram is (sometimes) worth ten thousand words”.

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Literature
1.
go back to reference Larkin, J., Simon, H.: Why a diagram is (sometimes) worth ten thousand words. Cogn. Sci. 11, 65–99 (1987)CrossRef Larkin, J., Simon, H.: Why a diagram is (sometimes) worth ten thousand words. Cogn. Sci. 11, 65–99 (1987)CrossRef
2.
go back to reference Shimojima, A.: Semantic Properties of Diagrams and Their Cognitive Potentials. CSLI Publications, Stanford (2015) Shimojima, A.: Semantic Properties of Diagrams and Their Cognitive Potentials. CSLI Publications, Stanford (2015)
3.
go back to reference Stapleton, G., Jamnik, M., Shimojima, A.: What makes an effective representation of information: a formal account of inferential advantages. J. Log. Lang. Inf. (2015, Submitted) Stapleton, G., Jamnik, M., Shimojima, A.: What makes an effective representation of information: a formal account of inferential advantages. J. Log. Lang. Inf. (2015, Submitted)
Metadata
Title
Effective Representation of Information: Generalizing Free Rides
Authors
Gem Stapleton
Mateja Jamnik
Atsushi Shimojima
Copyright Year
2016
DOI
https://doi.org/10.1007/978-3-319-42333-3_28