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Representation and Abstraction

Author

Listed:
  • Antal Jakovác

    (Department of Computational Sciences, HUN-REN Wigner Research Centre for Physics, H-1121 Budapest, Hungary
    Department of Statistics, Institute of Data Analytics and Information Systems, Corvinus University of Budapest, H-1093 Budapest, Hungary)

  • András Telcs

    (Department of Computational Sciences, HUN-REN Wigner Research Centre for Physics, H-1121 Budapest, Hungary
    Economics, University of Pannonia, H-8200 Veszprém, Hungary)

Abstract

In this paper we propose a mathematical model for cognitive phenomena such as abstraction, generalization and extension. The main concept is the coordination of the observable world with relevant features, a concept defined mathematically in the paper. These features represent necessary conditions for performing a task. There are different strategies to choose a coordination, and some of them can be associated with the System 1 and System 2 ways of thinking. System 2 uses multiple, context dependent relevant features for coordination, which makes it possible to speak about abstraction and the generalization of concepts. We also discuss the way extension works in these systems.

Suggested Citation

  • Antal Jakovác & András Telcs, 2025. "Representation and Abstraction," Mathematics, MDPI, vol. 13(10), pages 1-20, May.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:10:p:1666-:d:1659281
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