A Class of Conceptual Spaces Consisting of Boundaries of Infinite ρ-Ary Trees

A new construction of a certain conceptual space is presented. Elements of this conceptual space correspond to (and serve as code for) concept elements of reality, which potentially comprise an infinite number of qualities. This construction of a conceptual space solves a problem stated by Dietz and...

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Bibliographic Details
Published in:Journal of logic, language, and information language, and information, 2019-01, Vol.28 (1), p.73-95
Main Authors: Urban, Roman, Mróz, Simona
Format: Article
Language:English
Online Access:Get full text
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Summary:A new construction of a certain conceptual space is presented. Elements of this conceptual space correspond to (and serve as code for) concept elements of reality, which potentially comprise an infinite number of qualities. This construction of a conceptual space solves a problem stated by Dietz and his co-authors in 2013 in the context of Voronoi diagrams. The fractal construction of the conceptual space is that this problem simply does not pose itself. The concept of convexity is discussed in this new conceptual space. Moreover, the meaning of convexity is discussed in full generality, for example when space is deprived of it, its substitutes for concept domains are considered.
ISSN:0925-8531
1572-9583