Cohen \(\cal M31\): Szczepaniak's Model | Historical notes
Description: Two models of \(ZF\), \(M_1\) and \(M_2\),\(M_1\subseteq M_2\), are constructed with the same ordinals (so \(L^1\) in\(M_1\) is the same as \(L^1\) in \(M_2\)), and a generic real \(a\in M_1\) so that \(a\not\in HOD\) in \(M_1\), but \(a\in HOD\) in \(M_2\)
Parameter(s): This model does not depend on parameters
All Forms Known to be True in \(\cal M31\):
0,
All Forms Known to be False in \(\cal M31\):
430-p,
427,
391,
335-n,
334,
333,
292,
264,
239,
230,
218,
202,
164,
149,
147,
133,
114,
112,
109,
95-F,
91,
90,
89,
67,
66,
28-p,
1,
A minimial list of forms whose truth in this model imply all others that are true in this model: 0
Falses that are implied by others list: 91-230
References for models trues falses list: References Szczepaniak [1977], notes 18 and 82.
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