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Journal of Logic, Language and Information

Erschienen in:

25.07.2018

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

verfasst von: Roman Urban, Simona Mróz

Erschienen in: Journal of Logic, Language and Information | Ausgabe 1/2019

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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.

Vorheriger Artikel Conditionals, Causality and Conditional Probability

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A relation \(\rho \) on a set S is an equivalence relation if

(i)

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(ii)

for every \(a,b\in S\) if \(a\,\rho \,b\) then \(b\,\rho \,a\) (symmetry),

(iii)

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Titel: A Class of Conceptual Spaces Consisting of Boundaries of Infinite p-Ary Trees
verfasst von: Roman Urban
Simona Mróz
Publikationsdatum: 25.07.2018
Verlag: Springer Netherlands
Erschienen in: Journal of Logic, Language and Information / Ausgabe 1/2019
Print ISSN: 0925-8531
Elektronische ISSN: 1572-9583
DOI: https://doi.org/10.1007/s10849-018-9273-7

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