Statement:

\(D_{\aleph_{0}}\): Every non-well-orderable set is the union of a pairwise disjoint, well orderable family of denumerable sets.  (See note 27 for \(D_{\kappa}\), \(\kappa\) a well ordered cardinal.)

Howard_Rubin_Number: 152

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

This form's transferability is: Unknown

This form's negation transferability is: Negation Transferable

Article Citations:
Howard-Brunner-1992: Russell's alternative to the axiom of choice

Book references

Note connections:
Note 27 Notes on \(UT(WO,\kappa ,WO),\ C(WO,\kappa )\) and \(D_{\kappa }\) from Brunner/Howard [1992].

The following forms are listed as conclusions of this form class in rfb1: 4, 3,

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