Hypothesis: HR 10:
\(C(\aleph_{0},< \aleph_{0})\): Every denumerable family of non-empty finite sets has a choice function.
Conclusion: HR 132:
\(PC(\infty, <\aleph_0,\infty)\): Every infinite family of finite sets has an infinite subfamily with a choice function.
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: 3
Comments: