Cohen \(\cal M46(m,M)\): Pincus' Model VIII | Historical notes
Description: This model depends on the natural number \(m\) and the set of natural numbers \(M\) which must satisfy Mostowski's condition:
Parameter(s): This model depends on the following parameter(s): \(M\), \(M\): finite subset of natural numbers
All Forms Known to be True in \(\cal M46(m,M)\):
425,
423,
420,
419,
418,
412,
411,
405,
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,
336-n,
325,
304,
296,
288-n,
282,
279,
249,
243,
217,
216,
214,
211,
209,
199(\(n\)),
198,
194,
185,
182,
173,
167,
155,
154,
152,
150,
132,
131,
128,
127,
126,
124,
120-K,
119,
113,
108,
106,
104,
98,
94,
84,
83,
82,
80,
78,
77,
76,
75,
74,
73,
64,
57,
48-K,
46-K,
43,
42,
38,
35,
34,
32,
31,
29,
27,
26,
24,
19,
18,
17,
16,
13,
12,
11,
10,
9,
8,
6,
5,
4,
0,
All Forms Known to be False in \(\cal M46(m,M)\):
430-p,
427,
409,
408,
407,
399,
391,
384,
359,
347,
345,
344,
343,
335-n,
334,
333,
332,
331,
329,
323,
317,
303,
295,
292,
286,
284,
270,
264,
262,
261,
260,
259,
258,
257,
256,
255,
239,
231,
218,
213,
202,
168,
164,
163,
151,
149,
147,
133,
123,
114,
112,
109,
107,
101,
100,
95-F,
91,
90,
89,
85,
68,
67,
66,
62,
61,
60,
50,
49,
45-n,
40,
36,
30,
28-p,
23,
21,
20,
15,
14,
1,
A minimial list of forms whose truth in this model imply all others that are true in this model: 43-46-214
Falses that are implied by others list: 45-91-151-163-329
References for models trues falses list: References Pincus [1974b], \cite{1977a},notes 18 and 120(1, 4, 43, and 48).
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