Authors
Varol Akman
Bilkent University
Abstract
The success of set theory as a foundation for mathematics inspires its use in arti cial intelligence, particularly in commonsense reasoning. In this survey, we brie y 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 di erent aspects like cumulative hierarchy, self-reference, cardinality, etc. Assorted examples from the ground-breaking research on the subject are also given.
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Situations and Attitudes.Jon Barwise & John Perry - 1981 - Journal of Philosophy 78 (11):668-691.
Some Philosophical Problems From the Standpoint of Artificial Intelligence.John McCarthy & Patrick Hayes - 1969 - In B. Meltzer & Donald Michie (eds.), Machine Intelligence 4. Edinburgh University Press. pp. 463--502.

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