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A Semiotic-Conceptual Analysis of Euler and Hasse Diagrams

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Diagrammatic Representation and Inference (Diagrams 2020)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 12169))

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Abstract

Semiotic-Conceptual Analysis (SCA) considers diagrams (and in general any signs) as consisting of representamens, denotations and interpretations which supports investigating these three components individually and jointly. A core notion for diagram research is “observability” which refers to logically valid statements that can be visually extracted from diagrams. This notion is included into the SCA vocabulary and discussed with respect to Euler and Hasse diagrams.

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Notes

  1. 1.

    SCA normally uses Hasse diagrams of lattices in the sense of Formal Concept Analysis but because of space limitations only partially ordered sets are discussed here.

References

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Priss, U. (2020). A Semiotic-Conceptual Analysis of Euler and Hasse Diagrams. In: Pietarinen, AV., Chapman, P., Bosveld-de Smet, L., Giardino, V., Corter, J., Linker, S. (eds) Diagrammatic Representation and Inference. Diagrams 2020. Lecture Notes in Computer Science(), vol 12169. Springer, Cham. https://doi.org/10.1007/978-3-030-54249-8_47

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  • DOI: https://doi.org/10.1007/978-3-030-54249-8_47

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-54248-1

  • Online ISBN: 978-3-030-54249-8

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