Hypothesis: HR 363:
There are exactly \(2^{\aleph_0}\) Borel sets in \(\Bbb R\). G. Moore [1982], p 325.
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: 3
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