Statement:

\(KW(WO,\infty)\), The Kinna-Wagner Selection Principle for a well ordered family of sets: For every  well ordered set \(M\) there is a function \(f\) such that for all \(A\in M\), if \(|A|>1\) then \(\emptyset\neq f(A)\subsetneq A\).  (See Form 15).

Howard_Rubin_Number: 322

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:
Kinna-Wagner-1955: Uber eine Abschwachung des Auswahlpostulates
Brunner-1982a: Dedekind-Endlichkeit und Wohlordenbarkeit

Book references

Note connections:

The following forms are listed as conclusions of this form class in rfb1: 10, 324, 53, 64, 128, 146, 154, 177, 200, 267, 390, 278, 355, 342-n,

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