Cohen \(\cal M2(\kappa)\): Feferman/Pincus Model | Historical notes
Description: This is an extension of \(\cal M2\) in which there are \(\kappa\) generic sets, where \(\kappa\) is a regular cardinal
Parameter(s): This model depends on the following parameter(s): \(\alpha\), \(\alpha\): with \(\kappa = \aleph_{\alpha}\) a regular cardinal
All Forms Known to be True in \(\cal M2(\kappa)\):
280,
223,
222,
142,
0,
All Forms Known to be False in \(\cal M2(\kappa)\):
430-p,
427,
407,
391,
384,
345,
335-n,
334,
333,
317,
303,
292,
264,
239,
218,
202,
164,
149,
147,
133,
114,
112,
109,
95-F,
91,
90,
89,
67,
66,
52,
50,
28-p,
14,
1,
A minimial list of forms whose truth in this model imply all others that are true in this model: 222
Falses that are implied by others list: 52-91
References for models trues falses list: ReferencesPincus [1972c] and Note 18.
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