Hypothesis: HR 231:

\(UT(WO,WO,WO)\): The union of a well ordered collection of well orderable sets is well orderable.

Conclusion: HR 34:

\(\aleph_{1}\) is regular.

List of models where hypothesis is true and the conclusion is false:

Name Statement
\(\cal M12(\aleph)\) Truss' Model I This is a variation of Solovay's model, <a href="/models/Solovay-1">\(\cal M5(\aleph)\)</a> in which \(\aleph\) is singular

Code: 3

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