Cohen \(\cal M17\): Gitik's Model | Historical notes
Description: Using the assumption that for every ordinal \(\alpha\) there is a strongly compact cardinal \(\kappa\) such that \(\kappa >\alpha\), Gitik extends the universe \(V\) by a filter \(G\) generic over a proper class of forcing conditions
Parameter(s): This model does not depend on parameters
All Forms Known to be True in \(\cal M17\):
0,
All Forms Known to be False in \(\cal M17\):
430-p,
427,
426,
424,
420,
419,
418,
407,
394,
392,
391,
388,
381,
359,
352,
347,
346,
345,
337,
335-n,
334,
333,
328,
315,
302,
292,
286,
264,
262,
261,
260,
259,
258,
257,
256,
255,
245,
239,
218,
212,
211,
203,
202,
193,
192,
191,
188,
182,
181,
174-alpha,
172,
168,
164,
159,
149,
147,
133,
130,
126,
114,
113,
112,
109,
106,
104,
101,
100,
95-F,
94,
92,
91,
90,
89,
87-alpha,
86-alpha,
79,
67,
66,
51,
44,
43,
40,
39,
34,
31,
29,
28-p,
27,
25,
23,
21,
20,
16,
8,
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: 182-315
References for models trues falses list: ReferencesGitik [1980], \cite{1985}, notes 18 and 55.
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