Fraenkel \(\cal N2(n,M)\): Mostowski's variation of \(\cal N2(n)\) | Historical notes
Description: \(A\), \(B\), and \(S\)are the same as in \(\cal N2(n)\)
Parameter(s): This model depends on the following parameter(s): \(n\), \(n\): integer \(> 1\)
All Forms Known to be True in \(\cal N2(n,M)\):
389,
371,
369,
368,
367,
366,
364,
363,
362,
361,
313,
309,
307,
306,
305,
289,
280,
273,
272,
252,
251,
223,
222,
212,
211,
206,
203,
199(\(n\)),
197,
194,
191,
190,
189,
182,
170,
169,
145,
142,
139,
137-k,
130,
120-K,
108,
104,
94,
93,
92,
91,
79,
74,
70,
48-K,
46-K,
38,
37,
35,
34,
19,
13,
6,
5,
0,
All Forms Known to be False in \(\cal N2(n,M)\):
422-n,
409,
408,
407,
403,
402,
401,
400,
399,
398,
394,
393,
392,
391,
384,
359,
347,
345,
344,
343,
332,
331,
327,
324,
323,
322,
317,
303,
302,
295,
286,
284,
270,
264,
262,
261,
260,
259,
258,
257,
256,
255,
250,
231,
218,
213,
202,
192,
168,
165,
151,
133,
123,
122,
121,
109,
107,
101,
100,
85,
68,
62,
61,
60,
50,
49,
47-n,
46-K,
45-n,
40,
36,
33-n,
30,
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: 46-91-191
Falses that are implied by others list: 46-47-192
References for models trues falses list: References Fraenkel [1922], Mostowski [1945], Pincus [1977a], notes 73 and 120(56).
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