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Introduction to the Mathematical Theory of Knowledge Conceptualization: Conceptual Systems and Structures

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Applied Informatics (ICAI 2019)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1051))

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Abstract

The paper departs from the general problem of knowledge integration and the basic strategies that can be adopted to confront this challenge. With the purpose of providing a sound meta-theoretical framework to facilitate knowledge conceptualization and integration, as well as assessment criteria to evaluate achievements regarding knowledge integration, the paper first reviews the previous work in the field of conceptual spaces. It subsequently gives an overview of structural tools and mechanisms for knowledge representation, recapped in the modal stratified bond model of global knowledge. On these groundings, a novel formalized representation of conceptual systems, structures, spaces and algebras is developed through a set of definitions which goes beyond the exploration of mental knowledge representation and the semantics of natural languages. These two components provide a sound framework for the development of the glossaLAB international project with respect to its two basic objectives, namely (i) facilitating knowledge integration in general and particularly in the context of the general study of information and systems; (ii) facilitating the assessment of the achievements as regards knowledge integration in interdisciplinary settings. An additional article tackles the solutions adopted to integrate these results in the elucidation of the conceptual network of the general study of information and systems.

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Acknowledgment

This contribution has been carried out under support of glossaLAB project, co-founded by the Universidad Estatal Península de Santa Elena, Ecuador, and an international consortium of academic institutions. The authors wish to dedicate this work to the memory of Charles François whose work represents an invaluable and everlasting contribution to the integration of knowledge.

Author information

Authors and Affiliations

  1. University of California, Los Angeles, CA, USA

    Mark Burgin

  2. Madrid Open University, Madrid, Spain

    José María Díaz-Nafría

Authors
  1. Mark Burgin
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  2. José María Díaz-Nafría
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Corresponding author

Correspondence to José María Díaz-Nafría .

Editor information

Editors and Affiliations

  1. Universidad Distrital Francisco Jose de Caldas, Bogota, Colombia

    Hector Florez

  2. Universidad Nacional de Loja, Loja, Ecuador

    Marcelo Leon

  3. Universidad a Distancia de Madrid, Madrid, Spain

    Jose Maria Diaz-Nafria

  4. Universidad Complutense de Madrid, Madrid, Spain

    Simone Belli

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Burgin, M., Díaz-Nafría, J.M. (2019). Introduction to the Mathematical Theory of Knowledge Conceptualization: Conceptual Systems and Structures. In: Florez, H., Leon, M., Diaz-Nafria, J., Belli, S. (eds) Applied Informatics. ICAI 2019. Communications in Computer and Information Science, vol 1051. Springer, Cham. https://doi.org/10.1007/978-3-030-32475-9_34

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  • DOI: https://doi.org/10.1007/978-3-030-32475-9_34

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-32474-2

  • Online ISBN: 978-3-030-32475-9

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