Statement:
For every set \(S\), if the only linearly orderable subsets of \(S\) are the finite subsets of \(S\), then either \(S\) is finite or \(S\) has an amorphous subset.
Howard_Rubin_Number: 198
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:
Hickman-1978b: The ideal of orderable subsets of a set
Book references
Note connections:
Note 57
Truss [1995] studies the various
structures an amorphous set can carry.