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@misc{cogprints465, volume = {6}, number = {1}, month = {January}, author = {Varol Akman and Mujdat Pakkan}, title = {Nonstandard Set Theories and Information Management}, journal = {Journal of Intelligent Information Systems: Integrating Artificial Intelligence and Database Technologies}, pages = {5--31}, year = {1996}, keywords = {ZF (Zermelo-Fraenkel) set theory, knowledge representation, AFA (anti-foundation axiom), information management, commonsense reasoning, commonsense set theory, situation theory, nonwellfounded sets (hypersets).}, url = {http://cogprints.org/465/}, 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.} }