Title
A Class of Conce ptual S paces Consisting of Boundaries of Infinite p-Ary Trees
Abstract
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.
Year
DOI
Venue
2019
10.1007/s10849-018-9273-7
Journal of Logic, Language and Information
Keywords
Field
DocType
Conceptual space,Concepts,Qulities,p-adic integers,p-ary tree,Gromov boundary,Cantor-type set
Discrete mathematics,Convexity,Algebra,Fractal,Conceptual space,Gromov boundary,Voronoi diagram,Generality,Mathematics
Journal
Volume
Issue
ISSN
28.0
1
1572-9583
Citations 
PageRank 
References 
1
0.37
4
Authors
2
Name
Order
Citations
PageRank
R. Urban1101.54
Simona Mróz210.37