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On Hereditarily Countable Sets
The Journal of Symbolic Logic
Vol. 47, No. 1 (Mar., 1982), pp. 43-47
Published by: Association for Symbolic Logic
Stable URL: http://www.jstor.org/stable/2273380
Page Count: 5
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It is shown (in ZF) that every hereditarily countable set has rank less than ω2, and that if ℵ1 is singular then there are hereditarily countable sets of all ranks less than ω2.
The Journal of Symbolic Logic © 1982 Association for Symbolic Logic