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  1. Prototypes, Poles, and Tessellations: Towards a Topological Theory of Conceptual Spaces.Thomas Mormann - 2021 - Synthese 199 (1-2):3675-3710.
    The aim of this paper is to present a topological method for constructing discretizations of topological conceptual spaces. The method works for a class of topological spaces that the Russian mathematician Pavel Alexandroff defined more than 80 years ago. The aim of this paper is to show that Alexandroff spaces, as they are called today, have many interesting properties that can be used to explicate and clarify a variety of problems in philosophy, cognitive science, and related disciplines. For instance, recently, (...)
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  • A Qualitative Approach to Conceptual Spaces: Prototypes as Qualitative Atoms.Javier Belastegui - 2022 - Erkenntnis (Online):1-36.
    The aim of this paper is to propose a qualitative approach to the theory of conceptual spaces, in contrast to the usual metric framework. This requires qualitative notions of similarity, simple concepts, prototypes and conceptual categorisation. For this purpose, I will introduce three mathematical models for conceptual spaces. The first one is topological and has been proposed by Mormann. The other two are new and are based on atomistic orders and similarity relations. I will discuss how each of them deals (...)
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  • The Resemblance Structure of Natural Kinds: A Formal Model for Resemblance Nominalism.Javier Belastegui Lazcano - 2021 - Dissertation, Universidad Del País Vasco
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