A Note on Singular Cardinals in Set Theory Without Choice

Details A Note on Singular Cardinals in Set Theory Without Choice A Note on Singular Cardinals in Set Theory Without Choice

2007-09-15

arxiv.org/abs/0709.2436v1

Mathematics

Logic

29 pages, slides of a talk at the 13th International Congress of Logic, Methodology and Philosophy of Sciences (Beijing, Augus

Scientific paper

We discuss how singular can cardinals be in absence of the axiom of choice.
We show that, contrasting with known negative consistency results (of Gitik and
others), certain positive results are provable. Then we pose some problems.

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