Hypothesis: HR 35:
The union of countably many meager subsets of \({\Bbb R}\) is meager. (Meager sets are the same as sets of the first category.) Jech [1973b] p 7 prob 1.7.
Conclusion: HR 241:
Every algebraic closure of \(\Bbb Q\) has a real closed subfield.
List of models where hypothesis is true and the conclusion is false:
| Name | Statement |
|---|---|
| \(\cal N31\) Läuchli's Model IV | The set \(A\) is denumerable |
Code: 3
Comments: