Hypothesis: HR 165:
\(C(WO,WO)\): Every well ordered family of non-empty, well orderable sets has a choice function.
Conclusion: HR 13:
Every Dedekind finite subset of \({\Bbb R}\) is finite.
List of models where hypothesis is true and the conclusion is false:
| Name | Statement |
|---|---|
| \(\cal M1\) Cohen's original model | Add a denumerable number of generic reals (subsets of \(\omega\)), \(a_1\), \(a_2\), \(\cdots\), along with the set \(b\) containing them |
Code: 3
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