Hypothesis: HR 90:
\(LW\): Every linearly ordered set can be well ordered. Jech [1973b], p 133.
Conclusion: HR 221:
For all infinite \(X\), there is a non-principal measure on \(\cal P(X)\).
List of models where hypothesis is true and the conclusion is false:
| Name | Statement |
|---|---|
| \(\cal N51\) Weglorz/Brunner Model | Let \(A\) be denumerable and \(\cal G\)be the group of all permutations of \(A\) |
Code: 5
Comments: