Statement:
There is a non-trivial ultrafilter on \(\omega\). Jech [1973b], prob 5.24.
Howard_Rubin_Number: 70
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:
Book references
The Axiom of Choice, Jech, T., 1973b
Note connections:
| Howard-Rubin Number | Statement | References |
|---|---|---|
| 70 A | Every Dedekind infinite set has a non-principal ultrafilter. |
|
| 70 B | Weak Universal Net Theorem: There is a universal net in \(\omega\) which is not eventually constant. |
Note [31] Book: Handbook of Analysis and its Applications |
| 70 C | There is a 2-valued measure on \({\cal P}(\omega )\). |
Pincus [1972c]
Note [147] |