Hypothesis: HR 40:

\(C(WO,\infty)\):  Every well orderable set of non-empty sets has a choice function. Moore, G. [1982], p 325.

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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