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Nonstandard set theories and information management
Journal of Intelligent Information Systems 6:5-31 (1996)
Abstract
The merits of set theory as a foundational tool in mathematics stimulate its use in various areas of artificial intelligence, in particular intelligent information systems. In this paper, a study of various nonstandard treatments of set theory from this perspective is offered. Applications of these alternative set theories to information or knowledge management are surveyed.Author's Profile
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Citations of this work
A sharper image: the quest of science and recursive production of objective realities.Julio Michael Stern - 2020 - Principia: An International Journal of Epistemology 24 (2):255-297.
John Barwise & Lawrence Moss, Vicious Circles: On the Mathematics of Non-Wellfounded Phenomena. [REVIEW]Varol Akman - 1997 - Journal of Logic, Language and Information 6 (4):460-464.
References found in this work
Languages with self-reference I: Foundations.Donald Perlis - 1985 - Artificial Intelligence 25 (3):301-322.
Axioms of set theory.Joseph R. Shoenfield - 1977 - In Jon Barwise (ed.), Handbook of mathematical logic. New York: North-Holland. pp. 90.
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