Cohen \(\cal M20\): Felgner's Model I | Historical notes
Description: Let \(\cal M\) be a model of \(ZF + V = L\). Felgner defines forcing conditions that force \(\aleph_{\omega}\) in \(\cal M\) to be \(\aleph_1\)
Parameter(s): This model does not depend on parameters
All Forms Known to be True in \(\cal M20\):
423,
421,
401,
390,
389,
387,
380,
378,
377,
374-n,
373-n,
358,
357,
356,
350,
349,
342-n,
338,
336-n,
330,
329,
327,
324,
323,
314,
308-p,
294,
293,
288-n,
285,
283,
280,
276,
271-n,
270,
269,
268,
250,
249,
231,
216,
213,
198,
178-n-N,
165,
151,
150,
146,
142,
140,
132,
127,
122,
121,
120-K,
119,
111,
108,
102,
93,
88,
85,
83,
80,
73,
64,
62,
61,
60,
48-K,
47-n,
46-K,
45-n,
38,
33-n,
32,
30,
18,
12,
11,
10,
5,
0,
All Forms Known to be False in \(\cal M20\):
430-p,
427,
426,
407,
391,
388,
359,
352,
347,
346,
345,
335-n,
334,
333,
328,
292,
286,
264,
262,
261,
260,
259,
258,
257,
256,
255,
239,
218,
214,
202,
193,
192,
188,
181,
179-epsilon,
174-alpha,
168,
164,
152,
149,
147,
144,
133,
131,
126,
114,
113,
112,
109,
106,
101,
100,
95-F,
91,
90,
89,
87-alpha,
86-alpha,
76,
67,
66,
44,
43,
40,
39,
31,
29,
28-p,
27,
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: 30-60
Falses that are implied by others list: 31-91-131-144-152
References for models trues falses list: References Felgner [1974], notes 18, 25, and120(34, 43, and 49).
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