Cohen \(\cal M9\): Feferman/Levy Model | Historical notes
Description: Assume the ground model, \(\cal M\), satisfies \(ZF + GCH\) (the Generalized Continuum Hypothesis)
Parameter(s): This model does not depend on parameters
All Forms Known to be True in \(\cal M9\):
0,
All Forms Known to be False in \(\cal M9\):
430-p,
427,
426,
424,
421,
420,
419,
418,
407,
394,
393,
392,
391,
388,
381,
363,
359,
354,
352,
347,
346,
345,
338,
337,
335-n,
334,
333,
328,
302,
292,
286,
264,
262,
261,
260,
259,
258,
257,
256,
255,
245,
239,
231,
218,
213,
212,
211,
203,
202,
193,
192,
188,
181,
174-alpha,
172,
168,
165,
164,
150,
149,
147,
133,
130,
126,
114,
113,
112,
109,
106,
101,
100,
95-F,
94,
92,
91,
90,
89,
87-alpha,
86-alpha,
85,
79,
67,
66,
60,
51,
44,
43,
40,
39,
38,
37,
35,
34,
32,
31,
29,
28-p,
27,
25,
23,
21,
20,
16,
8,
6,
5,
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: 38
References for models trues falses list: References Feferman/Levy [1963],Cohen [1966] (p 143), Jech [1973b] (p 142).
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