Form Classes

Statement:

DO:  Every infinite set has a dense linear ordering.

Howard_Rubin_Number: 295

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:
Gonzalez-1995a: "Dense orderings, partitions, and weak forms of choice"

Book references

Note connections:

The following forms are listed as conclusions of this form class in rfb1: 30, 5, 324, 15, 118, 296, 350, 357, 384, 151,

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Complete List of Equivalent Forms

Howard-Rubin Number Statement References
295 A

\(DUO\): Every infinite set has a dense unbounded linear ordering. (An ordering is unbounded if there is neither a least element nor a greatest element.)

Pincus [1997]