Cohen \(\cal M10\): Derrick/Drake Model | Historical notes
Description: Let \(\cal M\) be a model of \(ZF + GCH\). Add to \(\cal M\) generic functions \(f_n\) for each \(n\in\omega\), where \(f_n:\omega_n\to\cal P(\omega)\), but do not add \(\{f_n: n\in\omega\}\)
Parameter(s): This model does not depend on parameters
All Forms Known to be True in \(\cal M10\):
0,
All Forms Known to be False in \(\cal M10\):
430-p,
427,
407,
391,
359,
347,
345,
335-n,
334,
333,
292,
286,
275,
264,
262,
261,
260,
259,
258,
257,
256,
255,
239,
218,
202,
192,
174-alpha,
168,
164,
149,
147,
133,
114,
112,
109,
101,
100,
95-F,
91,
90,
89,
87-alpha,
67,
66,
56,
44,
43,
40,
28-p,
20,
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: 43-56-91-275
References for models trues falses list: ReferencesDerrick/Drake [1967b], Mathias [1979] p 125,Truss [1974b], Note 18.
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