Hypothesis: HR 122:
\(C(WO,<\aleph_{0})\): Every well ordered set of non-empty finite sets has a choice function.
Conclusion: HR 33-n:
If \(n\in\omega-\{0,1\}\), \(C(LO,n)\): Every linearly ordered set of \(n\) element sets has a choice function.
List of models where hypothesis is true and the conclusion is false:
| Name | Statement |
|---|---|
| \(\cal N24(n,LO)\) Truss' Model III | This is a variation of \(\cal N24(n)\)in which the set \(B\) is linearly ordered |
Code: 3
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