Fraenkel \(\cal N49\): De la Cruz/Di Prisco Model | Historical notes
Description: Let \(A = \{ a(i,p) : i\in\omega\land p\in {\Bbb Q}/{\Bbb Z} \}\)
Parameter(s): This model does not depend on parameters
All Forms Known to be True in \(\cal N49\):
423,
404,
390,
389,
387,
378,
377,
376,
374-n,
373-n,
371,
369,
368,
367,
366,
364,
363,
362,
361,
358,
342-n,
336-n,
325,
313,
309,
307,
306,
305,
304,
296,
289,
288-n,
280,
273,
272,
252,
251,
249,
223,
222,
221,
217,
216,
212,
211,
206,
203,
199(\(n\)),
198,
197,
194,
191,
190,
189,
185,
182,
170,
169,
167,
145,
142,
139,
137-k,
132,
130,
128,
127,
124,
108,
104,
98,
94,
93,
92,
91,
84,
83,
82,
80,
79,
74,
73,
70,
64,
63,
57,
38,
37,
35,
34,
19,
18,
17,
13,
12,
11,
10,
9,
6,
5,
0,
All Forms Known to be False in \(\cal N49\):
430-p,
427,
426,
422-n,
409,
408,
407,
403,
402,
401,
400,
399,
398,
394,
393,
392,
391,
388,
384,
380,
379,
376,
359,
347,
345,
344,
343,
335-n,
334,
333,
332,
331,
327,
324,
323,
322,
317,
303,
302,
295,
286,
284,
270,
264,
262,
261,
260,
259,
258,
257,
256,
255,
250,
239,
231,
218,
214,
213,
202,
193,
192,
188,
181,
174-alpha,
168,
167,
165,
163,
161,
152,
151,
149,
133,
129,
123,
122,
121,
113,
109,
107,
106,
101,
100,
95-F,
87-alpha,
86-alpha,
85,
71-alpha,
68,
67,
66,
62,
61,
60,
50,
49,
47-n,
45-n,
44,
43,
41,
40,
39,
36,
33-n,
30,
28-p,
23,
21,
20,
15,
14,
9,
8,
7,
4,
3,
2,
1,
A minimial list of forms whose truth in this model imply all others that are true in this model: 9-63-91-191
Falses that are implied by others list: 47-106-163-167-380
References for models trues falses list: ReferencesDe la Cruz/Di Prisco [1998a], notes 18 and 120(20, 23, 55 and56).
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