Hypothesis: HR 204:
For every infinite \(X\), there is a function from \(X\) onto \(2X\).
Conclusion: HR 222:
There is a non-principal measure on \(\cal P(\omega)\).
List of models where hypothesis is true and the conclusion is false:
| Name | Statement | 
|---|---|
| \(\cal M2\) Feferman's model | Add a denumerable number of generic reals to the base model, but do not collect them | 
Code: 3
Comments: