Statement:

There is a  partially ordered set \((A,\le)\) such that for no set \(B\) is \((B,\le)\) (the ordering  on \(B\) is the usual injective cardinal ordering) isomorphic to \((A,\le)\).

Howard_Rubin_Number: 105

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

This form's transferability is: Unknown

This form's negation transferability is: Unknown

Article Citations:
Forti-Honsell-1985: The consistency of the axiom of universality for the ordering of cardinals
Jech-1966c: On the ordering of cardinalities

Book references

Note connections:

The following forms are listed as conclusions of this form class in rfb1: 105, 1,

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