Hypothesis: HR 191:
\(SVC\): There is a set \(S\) such that for every set \(a\), there is an ordinal \(\alpha\) and a function from \(S\times\alpha\) onto \(a\).
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
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