Issues in commonsense set theory

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Issues in commonsense set theory.pdf (1.67 MB)

Date

1994

Authors

Pakkan, M.
Akman, V.

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Abstract

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. © 1995 Kluwer Academic Publishers.

Source Title

Artificial Intelligence Review

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Springer/Kluwer Academic Publishers

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Keywords

Commonsense reasoning, Cumulative hierarchy, Hypersets, Knowledge representation, Self-reference, Set theory, Artificial intelligence, Formal logic, Hierarchical systems, Knowledge representation, Mathematical techniques, Cardinality, Commonsense reasoning, Commonsense set theory, Cumulative hierarchy, Hypersets, Self reference, Set theory

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Permalink

http://hdl.handle.net/11693/25955

Published Version (Please cite this version)

http://dx.doi.org/10.1007/BF00849061

Collections

Scholarly Publications - Computer Engineering

Language

English

Type

Article