Statement:

\({\Bbb R}\) can be well ordered.  Hilbert [1900], p 263.

Howard_Rubin_Number: 79

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

This form's transferability is: Transferable

This form's negation transferability is: Negation Transferable

Article Citations:
Hilbert-1900: Mathematische Probleme Vortrag, gehalten auf dem internationalem Mathematiker Kongress zu Paris

Book references

Note connections:

The following forms are listed as conclusions of this form class in rfb1: 94, 253, 289, 38, 70, 92, 139, 272, 163, 164, 197, 221, 251, 252, 328, 344, 358, 368, 367, 369, 371, 212, 355, 203, 314, 79, 342-n, 373-n,

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Complete List of Equivalent Forms

Howard-Rubin Number Statement References
79 A

\(C(\infty,\infty,{\Bbb R})\): Every set whose elements are non-empty subsets of \({\Bbb R}\) has a choice function.



Book: Handbook of Analysis and its Applications