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 124:
Every operator on a Hilbert space with an amorphous base is the direct sum of a finite matrix and a scalar operator. (A set is amorphous if it is not the union of two disjoint infinite sets.)
List of models where hypothesis is true and the conclusion is false:
Name | Statement |
---|---|
\(\cal N24\) Hickman's Model I | This model is a variation of \(\cal N2\) |
Code: 5
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