Artificial Intelligence Review

, Volume 8, Issue 4, pp 279–308

Issues in commonsense set theory

  • Müjdat Pakkan
  • Varol Akman

DOI: 10.1007/BF00849061

Cite this article as:
Pakkan, M. & Akman, V. Artif Intell Rev (1994) 8: 279. doi:10.1007/BF00849061


The success of set theory as a foundation for mathematics inspires its use in artificial intelligence, particularly in commonsense reasoning. In this survey, we briefly review classical set theory from an AI perspective, and then consider alternative set theories. Desirable properties of a possible commonsense set theory are investigated, treating different aspects like cumulative hierarchy, self-reference, cardinality, etc. Assorted examples from the ground-breaking research on the subject are also given.

Key words

set theory commonsense reasoning knowledge representation cumulative hierarchy self-reference hypersets 

Copyright information

© Kluwer Academic Publishers 1995

Authors and Affiliations

  • Müjdat Pakkan
    • 1
  • Varol Akman
    • 1
  1. 1.Department of Computer Engineering and Information ScienceBilkent UniversityBilkent, AnkaraTurkey

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