Hypothesis: HR 142:
\(\neg PB\): There is a set of reals without the property of Baire. Jech [1973b], p. 7.
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
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