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From Formal Concept Analysis to Contextual Logic

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Formal Concept Analysis

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 3626))

Abstract

A main goal of Formal Concept Analysis from its very beginning has been the support of rational communication. The source of this goal lies in the understanding of mathematics as a science which should encompass both its philosophical basis and its social consequences. This can be achieved by a process named ‘restructuring’. This approach shall be extended to logic, which is based on the doctrines of concepts, judgments, and conclusions. The program of restructuring logic is named Contextual Logic (CL). A main idea of CL is to combine Formal Concept Analysis and Concept Graphs (which are mathematical structures derived from conceptual graphs). Concept graphs mathematize judgments which combine concepts, and conclusions can be drawn by inferring concept graphs from others. So we see that concept graphs can be understood as a crucial part of the mathematical implementation of CL, based on Formal Concept Analysis as the mathematization of the doctrine of concepts.

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Author information

Authors and Affiliations

  1. Fachbereich Mathematik, Technische Universität Darmstadt, Schloßgartenstr. 7, D-64289, Darmstadt

    Frithjof Dau & Julia Klinger

Authors
  1. Frithjof Dau
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  2. Julia Klinger
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Editor information

Editors and Affiliations

  1. Institute of Algebra, University of Technology, Dresden, Germany

    Bernhard Ganter

  2. Research Center L3S, Appelstr. 9a, D-30167, Hannover, Germany

    Gerd Stumme

  3. Fachbereich Mathematik, Technische Universität Darmstadt, D–64289, Darmstadt

    Rudolf Wille

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Dau, F., Klinger, J. (2005). From Formal Concept Analysis to Contextual Logic. In: Ganter, B., Stumme, G., Wille, R. (eds) Formal Concept Analysis. Lecture Notes in Computer Science(), vol 3626. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11528784_4

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  • DOI: https://doi.org/10.1007/11528784_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-27891-7

  • Online ISBN: 978-3-540-31881-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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