Cohen \(\cal M21\): Felgner's Model II | Historical notes
Description: Suppose \(\cal M \models ZF + V = L\). Define \(B=\{f: (\exists\alpha <\omega_1)f:\alpha\to\omega\}\)
Parameter(s): This model does not depend on parameters
All Forms Known to be True in \(\cal M21\):
423,
420,
419,
418,
404,
390,
389,
387,
380,
379,
378,
377,
376,
374-n,
373-n,
362,
361,
358,
357,
355,
354,
353,
352,
351,
350,
342-n,
341,
340,
338,
336-n,
325,
304,
296,
288-n,
282,
249,
217,
216,
209,
199(\(n\)),
198,
194,
185,
182,
167,
150,
132,
131,
128,
127,
126,
124,
119,
108,
104,
98,
94,
84,
83,
82,
80,
74,
73,
64,
57,
38,
35,
34,
32,
31,
29,
27,
26,
24,
19,
18,
17,
16,
13,
12,
11,
10,
9,
8,
6,
5,
0,
All Forms Known to be False in \(\cal M21\):
430-p,
427,
391,
359,
347,
335-n,
334,
333,
292,
286,
264,
262,
261,
260,
259,
258,
257,
256,
255,
239,
231,
218,
202,
168,
164,
163,
149,
147,
133,
114,
112,
109,
101,
100,
95-F,
91,
90,
89,
67,
66,
60,
40,
28-p,
20,
1,
A minimial list of forms whose truth in this model imply all others that are true in this model: 8
Falses that are implied by others list: 91-163-231
References for models trues falses list: ReferencesFelgner [1974], Brunner [1982a], and Note 18.
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