Journal of Philosophical Logic 29 (6):585-601 (2000)
| 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.
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| Keywords | Philosophy |
| Categories | (categorize this paper) |
| Reprint years | 2004 |
| DOI | 10.1023/A:1026564222011 |
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References found in this work BETA
Ackermann's Set Theory Equals ZF.William N. Reinhardt - 1970 - Annals of Mathematical Logic 2 (2):189.
Type Reducing Correspondences and Well-Orderings: Frege's and Zermelo's Constructions Re-Examined.J. L. Bell - 1995 - Journal of Symbolic Logic 60 (1):209-221.
Citations of this work BETA
Varieties of Indefinite Extensibility.Gabriel Uzquiano - 2015 - Notre Dame Journal of Formal Logic 56 (1):147-166.
Two Views of the Logic of Plurals and a Reduction of One to the Other.Nino B. Cocchiarella - 2015 - Studia Logica 103 (4):757-780.
Russell's Paradox and the Theory of Classes in The Principles of Mathematics.Yasushi Nomura - 2013 - Journal of the Japan Association for Philosophy of Science 41 (1):23-36.
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