creators_name: Akman, Varol creators_name: Pakkan, Mujdat type: journalp datestamp: 1998-06-19 lastmod: 2011-03-11 08:53:58 metadata_visibility: show title: Nonstandard Set Theories and Information Management ispublished: pub subjects: cog-psy subjects: comp-sci-art-intel subjects: ling-sem subjects: phil-logic full_text_status: public keywords: ZF (Zermelo-Fraenkel) set theory, knowledge representation, AFA (anti-foundation axiom), information management, commonsense reasoning, commonsense set theory, situation theory, nonwellfounded sets (hypersets). 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. date: 1996-01 date_type: published publication: Journal of Intelligent Information Systems: Integrating Artificial Intelligence and Database Technologies volume: 6 number: 1 pagerange: 5-31 refereed: TRUE citation: Akman, Varol and Pakkan, Mujdat (1996) Nonstandard Set Theories and Information Management. [Journal (Paginated)] document_url: http://cogprints.org/465/2/jiis.ps