Statement:

There is an ordinal \(\alpha\) such that for all \(X\), if \(X\) is a denumerable union of denumerable sets then \({\cal P}(X)\) cannot be partitioned into \(\aleph_{\alpha}\) non-empty sets.

Howard_Rubin_Number: 209

Parameter(s): This form does not depend on parameters

This form's transferability is: Unknown

This form's negation transferability is: Unknown

Article Citations:
Morris-1970: A model of ZF which cannot be extended to a model of ZFC without adding ordinals

Book references

Note connections:

The following forms are listed as conclusions of this form class in rfb1:

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