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Representing part-whole relations in conceptual spaces.

Sandro Rama Fiorini1, Peter Gärdenfors, Mara Abel

  • 1Institute of Informatics, Federal University of Rio Grande do Sul (UFRGS), CP 15064, Porto Alegre, RS, CEP 91501-970, Brazil, srfiorini@inf.ufrgs.br.

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Summary

This study introduces a cognitive semantic model for part-whole relations, using conceptual spaces to represent prototypical structures. This approach enhances understanding of how parts form wholes and allows for similarity judgments based on structure.

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Area of Science:

  • Cognitive Science
  • Semantics
  • Linguistics

Background:

  • Traditional mereological formalisms do not account for prototypical structures in part-whole relations.
  • Existing models lack a robust framework for representing variations in part structures across domains.

Purpose of the Study:

  • To propose a novel cognitive semantic approach for representing part-whole relations.
  • To model prototypical structures and variations in part-whole relationships using conceptual spaces.
  • To provide a framework for understanding taxonomies of part-whole relations.

Main Methods:

  • Utilizing the theory of conceptual spaces to represent parts and wholes in distinct spaces.
  • Introducing a 'structure space' where parts are joined to form wholes.
  • Analyzing how configurations of parts in the structure space enable similarity judgments.

Main Results:

  • The proposed structure space effectively represents prototype effects in part structures.
  • The framework captures variations in part structure across different conceptual domains.
  • Similarity judgments between wholes can be systematically made based on shared parts and their configurations.

Conclusions:

  • The cognitive semantic approach offers a more comprehensive account of part-whole relations than traditional formalisms.
  • The structure space provides a flexible and powerful tool for modeling complex part-whole relationships.
  • This framework has implications for understanding conceptual structure and semantic representation.