Issues in commonsense set theory
作者:Müjdat Pakkan, Varol Akman
摘要
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.
论文关键词:set theory, commonsense reasoning, knowledge representation, cumulative hierarchy, self-reference, hypersets
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论文官网地址:https://doi.org/10.1007/BF00849061