Hypothesis: HR 127:

An amorphous power of a compact \(T_2\) space, which as a set is well orderable, is well orderable.

Conclusion: HR 267:

There is no infinite, free complete Boolean algebra.

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

Name Statement
\(\cal N1\) The Basic Fraenkel Model The set of atoms, \(A\) is denumerable; \(\cal G\) is the group of all permutations on \(A\); and \(S\) isthe set of all finite subsets of \(A\)

Code: 5

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