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Archive for Mathematical Logic

, Volume 47, Issue 2, pp 143–157 | Cite as

A hierarchy of hereditarily finite sets

  • Laurence Kirby
Article

Abstract

This article defines a hierarchy on the hereditarily finite sets which reflects the way sets are built up from the empty set by repeated adjunction, the addition to an already existing set of a single new element drawn from the already existing sets. The structure of the lowest levels of this hierarchy is examined, and some results are obtained about the cardinalities of levels of the hierarchy.

Keywords

Finite set theory Adjunction Adduction Hierarchy 

Mathematics Subject Classification (2000)

03E20 

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Copyright information

© Springer-Verlag 2008

Authors and Affiliations

  1. 1.Department of Mathematics, Baruch CollegeCity University of New YorkNew YorkUSA

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