Statement:

\(C(\aleph_{0},2)\):  Every denumerable set of  pairs has  a  choice function.

Howard_Rubin_Number: 80

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:
Mostowski-1948: On the principle of dependent choices

Book references

Note connections:

The following forms are listed as conclusions of this form class in rfb1: 18, 80, 285, 389,

Back

Complete List of Equivalent Forms

Howard-Rubin Number Statement References
80 A

\(UT(\aleph_0,2,\aleph_0)\): The union of denumerably many pairs is denumerable.



80 B

\(UT(\aleph_0,2, WO)\): The union of denumerably many pairs can be well ordered.