Foundations of Science

, Volume 24, Issue 4, pp 641–655 | Cite as

Mathematical Logic of Notions and Concepts

  • J. L. Usó-Doménech
  • J. A. Nescolarde-SelvaEmail author


In this paper the authors develop a logic of concepts within a mathematical linguistic theory. In the set of concepts defined in a belief system, the order relationship and Boolean algebra of the concepts are considered. This study is designed to obtain a tool, which is the metatheoretical base of this type of theory.


Belief Comprehension Distributive lattice Nominalism Notions Realism Semiotic Sets 



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Copyright information

© Springer Nature B.V. 2019

Authors and Affiliations

  • J. L. Usó-Doménech
    • 1
  • J. A. Nescolarde-Selva
    • 1
    Email author
  1. 1.Department of Applied MathematicsUniversity of AlicanteAlicanteSpain

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