Fraenkel \(\cal N17\): Brunner/Howard Model II | Historical notes
Description: \(A=\{a_{\alpha,i}:\alpha\in\omega_1\,\wedge i\in\omega\}\)
Parameter(s): This model does not depend on parameters
All Forms Known to be True in \(\cal N17\):
423,
420,
419,
416,
415,
414,
413,
389,
374-n,
373-n,
371,
369,
368,
367,
366,
364,
363,
362,
361,
358,
357,
350,
338,
313,
309,
307,
306,
305,
289,
288-n,
280,
273,
272,
252,
251,
249,
223,
222,
216,
212,
211,
209,
206,
203,
199(\(n\)),
197,
194,
191,
190,
189,
182,
170,
169,
145,
144,
142,
139,
137-k,
130,
125,
119,
108,
104,
94,
93,
92,
91,
80,
79,
74,
70,
38,
37,
35,
34,
32,
31,
19,
18,
13,
10,
6,
5,
0,
All Forms Known to be False in \(\cal N17\):
430-p,
427,
426,
409,
408,
407,
399,
394,
393,
392,
391,
388,
384,
359,
347,
346,
345,
344,
343,
335-n,
334,
333,
332,
331,
328,
323,
317,
303,
302,
295,
286,
270,
264,
262,
261,
260,
259,
258,
257,
256,
255,
239,
231,
218,
214,
213,
202,
193,
192,
188,
181,
174-alpha,
168,
165,
163,
149,
133,
131,
126,
123,
113,
109,
107,
106,
101,
100,
95-F,
87-alpha,
86-alpha,
85,
76,
68,
67,
66,
62,
60,
50,
49,
44,
43,
40,
39,
36,
30,
29,
28-p,
27,
23,
21,
20,
15,
14,
8,
1,
A minimial list of forms whose truth in this model imply all others that are true in this model: 31-91-144-191
Falses that are implied by others list: 27-62-131-163-165
References for models trues falses list: References Brunner/Howard [1992], notes 2(3, 5, and 6),18, 120(30 49, 55, and 56) and 154.
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