Hypothesis: HR 163:

Every non-well-orderable set has an infinite, Dedekind finite subset.

Conclusion: HR 125:

There does not exist an infinite, compact connected \(p\) space. (A \(p\) space is a \(T_2\) space in which the intersection of any well orderable family of open sets is open.)

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

Name Statement

Code: 3

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