Sets and Classes as Many View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2000-12

AUTHORS

John L. Bell

ABSTRACT

In this paper the view is developed that classes should not be understood as individuals, but, rather, as “classes as many” of individuals. To correlate classes with individuals “labelling” and “colabelling” functions are introduced and sets identified with a certain subdomain of the classes on which the labelling and colabelling functions are mutually inverse. A minimal axiomatization of the resulting system is formulated and some of its extensions are related to various systems of set theory, including nonwellfounded set theories. More... »

PAGES

585-601

References to SciGraph publications

  • 1974-03. Sets in SYNTHESE
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1023/a:1026564222011

    DOI

    http://dx.doi.org/10.1023/a:1026564222011

    DIMENSIONS

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