Cohen \(\cal M2\): Feferman's model | Historical notes
Description: Add a denumerable number of generic reals to the base model, but do not collect them
Parameter(s): This model does not depend on parameters
All Forms Known to be True in \(\cal M2\):
423,
421,
420,
419,
418,
412,
411,
404,
390,
389,
388,
387,
380,
379,
378,
377,
376,
375,
374-n,
373-n,
362,
361,
358,
357,
355,
354,
353,
352,
351,
350,
342-n,
341,
340,
339,
338,
337,
336-n,
330,
328,
327,
325,
324,
322,
304,
296,
294,
288-n,
282,
280,
279,
250,
249,
243,
231,
217,
216,
211,
209,
208,
204,
199(\(n\)),
198,
196-alpha,
194,
185,
182,
170,
167,
165,
155,
154,
151,
150,
142,
132,
131,
128,
127,
126,
124,
122,
119,
113,
111,
108,
106,
104,
98,
94,
93,
92,
86-alpha,
84,
83,
82,
80,
78,
77,
74,
73,
64,
58,
57,
48-K,
47-n,
43,
42,
40,
39,
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 \(\cal M2\):
430-p,
427,
409,
408,
407,
399,
391,
385,
384,
345,
344,
343,
335-n,
334,
333,
332,
331,
326,
323,
317,
313,
311,
303,
295,
292,
287,
284,
274,
270,
264,
239,
225,
222,
221,
218,
214,
213,
203,
202,
201,
164,
163,
152,
149,
147,
133,
130,
123,
114,
112,
109,
107,
99,
95-F,
91,
90,
89,
88,
85,
79,
70,
68,
67,
66,
63,
62,
61,
60,
52,
50,
49,
36,
30,
28-p,
15,
14,
1,
A minimial list of forms whose truth in this model imply all others that are true in this model: 40-142-204
Falses that are implied by others list: 88-152-163-203-222-274
References for models trues falses list: References Brunner [1982a],Feferman [1965], Pincus [1972c], Truss [1978], \cite{1974b}, Note 65, and Note 120(34 and 46). (See alsoFelgner [1971a] pp 160-166 where credit for some of the proofsis given to D.~Scott and R.~Solovay.)
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