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The first-order structure of weakly Dedekind-finite set

Published online by Cambridge University Press:  12 March 2014

A. C. Walczak-Typke
A. C. Walczak-Typke*
Affiliation:
Kurt Gödel Research Center for Mathematical Logic, University of Vienna, Wahringer Straße 25, A-1090 Wien, Austria, E-mail: agatha@logic.univie.ac.at
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Abstract

We show that infinite sets whose power-sets are Dedekind-finite can only carry ℵ0-categorical first order structures. We identify other subclasses of this class of Dedekind-finite sets, and discuss their possible first order structures.

Keywords

axiom of choiceℵ0-categorical structuresDedekind-finite
Type
Research Article
Information
The Journal of Symbolic Logic , Volume 70 , Issue 4 , December 2005 , pp. 1161 - 1170
Copyright
Copyright © Association for Symbolic Logic 2005

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References

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