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.
Citation
A. C. Walczak-Typke. "The first-order structure of weakly Dedekind-finite sets." J. Symbolic Logic 70 (4) 1161 - 1170, December 2005. https://doi.org/10.2178/jsl/1129642121
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