Cohen \(\cal M45\): Pincus' Model VII | Historical notes
Description: This is the model of Pincus [1977a], Theorem 2.1 \((C)\)
Parameter(s): This model does not depend on parameters
All Forms Known to be True in \(\cal M45\):
425,
423,
420,
419,
418,
412,
411,
405,
404,
401,
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,
327,
325,
308-p,
304,
296,
295,
293,
288-n,
285,
283,
282,
280,
279,
276,
269,
268,
250,
249,
243,
217,
216,
214,
211,
209,
199(\(n\)),
198,
194,
185,
182,
178-n-N,
173,
167,
155,
154,
152,
150,
146,
142,
140,
132,
131,
128,
127,
126,
124,
122,
121,
120-K,
119,
113,
111,
108,
106,
104,
102,
98,
94,
93,
88,
84,
83,
82,
80,
78,
77,
76,
75,
74,
73,
64,
62,
61,
57,
48-K,
47-n,
46-K,
45-n,
43,
42,
38,
35,
34,
33-n,
32,
31,
30,
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 \(\cal M45\):
430-p,
427,
407,
391,
384,
359,
347,
345,
335-n,
334,
333,
329,
328,
317,
303,
292,
286,
264,
262,
261,
260,
259,
258,
257,
256,
255,
239,
231,
218,
202,
168,
164,
163,
151,
149,
147,
133,
114,
112,
109,
101,
100,
99,
95-F,
91,
90,
89,
67,
66,
60,
50,
49,
40,
28-p,
23,
21,
20,
14,
1,
A minimial list of forms whose truth in this model imply all others that are true in this model: 43-214-295
Falses that are implied by others list: 49-91-99-151-163-328-329
References for models trues falses list: References Pincus [1977a], \cite{1997},notes 18 and 120(1, 4, 29, 31, 32, 43, and 48).
Back