Fraenkel \(\cal N52\): Felgner/Truss Model | Historical notes
Description: Let \((\cal B,\prec)\) be a countableuniversal homogeneous linearly ordered Boolean algebra, (i.e., \(<\) is alinear ordering extending the Boolean partial ordering on \(B\))
Parameter(s): This model does not depend on parameters
All Forms Known to be True in \(\cal N52\):
423,
401,
390,
389,
387,
378,
377,
374-n,
373-n,
371,
369,
368,
367,
366,
364,
363,
362,
361,
358,
342-n,
336-n,
327,
326,
313,
309,
308-p,
307,
306,
305,
293,
289,
288-n,
285,
283,
280,
276,
273,
272,
269,
268,
252,
251,
250,
249,
223,
222,
216,
212,
211,
206,
203,
201,
199(\(n\)),
198,
197,
194,
191,
190,
189,
182,
178-n-N,
170,
169,
146,
145,
142,
140,
139,
137-k,
132,
130,
127,
122,
121,
120-K,
111,
108,
104,
102,
94,
93,
92,
91,
88,
83,
80,
79,
74,
73,
70,
64,
62,
61,
49,
48-K,
47-n,
46-K,
45-n,
38,
37,
35,
34,
33-n,
30,
19,
18,
13,
12,
11,
10,
6,
5,
0,
All Forms Known to be False in \(\cal N52\):
430-p,
427,
407,
391,
384,
345,
335-n,
334,
333,
317,
303,
292,
261,
259,
256,
253,
239,
218,
192,
149,
133,
118,
115,
114,
112,
109,
99,
95-F,
90,
89,
67,
66,
51,
50,
28-p,
15,
14,
1,
A minimial list of forms whose truth in this model imply all others that are true in this model: 49-91-191
Falses that are implied by others list: 15-51-99-118-192-253
References for models trues falses list: ReferencesFelgner/Truss [1999], notes 18, 120(3, 16, 29, and 45).
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