Cohen \(\cal M12(\aleph)\): Truss' Model I | Historical notes
Description: This is a variation of Solovay's model, \(\cal M5(\aleph)\) in which \(\aleph\) is singular
Parameter(s): This model depends on the following parameter(s): \(\alpha\), \(\alpha\): with \( \aleph = \aleph_{\alpha}\) singular limit cardinal
All Forms Known to be True in \(\cal M12(\aleph)\):
423,
421,
389,
374-n,
373-n,
369,
358,
357,
350,
338,
330,
327,
324,
294,
288-n,
250,
249,
231,
216,
165,
151,
122,
119,
111,
108,
80,
48-K,
47-n,
38,
32,
18,
10,
6,
5,
0,
All Forms Known to be False in \(\cal M12(\aleph)\):
430-p,
427,
426,
424,
420,
419,
418,
407,
394,
392,
391,
388,
384,
381,
364,
363,
359,
352,
347,
346,
345,
337,
335-n,
334,
333,
328,
317,
303,
302,
295,
292,
286,
273,
272,
264,
262,
261,
260,
259,
258,
257,
256,
255,
245,
239,
218,
214,
212,
211,
203,
202,
193,
192,
188,
181,
174-alpha,
172,
169,
168,
164,
152,
149,
147,
133,
130,
126,
114,
113,
112,
109,
106,
101,
100,
95-F,
94,
92,
91,
90,
89,
87-alpha,
86-alpha,
79,
67,
66,
51,
50,
49,
44,
43,
40,
39,
34,
31,
30,
29,
28-p,
27,
25,
23,
21,
20,
16,
15,
14,
8,
1,
A minimial list of forms whose truth in this model imply all others that are true in this model: 6-231-369
Falses that are implied by others list: 30-34-152-169-273
References for models trues falses list: References Truss [1974b] and notes43 and 120(43 and 55).
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