Representation and Abstraction

Antal Jakovác () and András Telcs
Additional contact information
Antal Jakovác: Department of Computational Sciences, HUN-REN Wigner Research Centre for Physics, H-1121 Budapest, Hungary
András Telcs: Department of Computational Sciences, HUN-REN Wigner Research Centre for Physics, H-1121 Budapest, Hungary

Mathematics, 2025, vol. 13, issue 10, 1-20

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.

Keywords: relevant features; artificial intelligence; abstraction; generalization; extension; System 1 and 2 thinking (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/13/10/1666/pdf (application/pdf)
https://www.mdpi.com/2227-7390/13/10/1666/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:13:y:2025:i:10:p:1666-:d:1659281

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().