Fraenkel \(\cal N23\): Howard/Mostowski Linearly Ordered Model | Historical notes
Description: This model is amodification of \(\cal N3\)
Parameter(s): This model does not depend on parameters
All Forms Known to be True in \(\cal N23\):
423,
420,
419,
418,
404,
390,
389,
387,
380,
379,
378,
377,
376,
374-n,
373-n,
371,
369,
368,
367,
366,
364,
363,
362,
361,
358,
357,
355,
354,
353,
352,
351,
350,
342-n,
341,
340,
338,
336-n,
325,
313,
309,
307,
306,
305,
304,
296,
289,
288-n,
282,
280,
273,
272,
252,
251,
249,
223,
222,
221,
217,
216,
212,
211,
209,
206,
203,
199(\(n\)),
198,
197,
194,
191,
190,
189,
185,
182,
170,
169,
167,
150,
145,
142,
139,
137-k,
132,
131,
130,
128,
127,
126,
124,
119,
108,
104,
98,
94,
93,
92,
91,
84,
83,
82,
80,
79,
74,
73,
70,
64,
63,
57,
38,
37,
35,
34,
32,
31,
29,
27,
26,
24,
19,
18,
17,
16,
13,
12,
11,
10,
9,
8,
6,
5,
0,
All Forms Known to be False in \(\cal N23\):
409,
408,
407,
399,
391,
384,
345,
344,
343,
335-n,
333,
332,
331,
326,
323,
317,
303,
295,
284,
270,
218,
213,
201,
193,
192,
163,
133,
123,
109,
107,
95-F,
88,
85,
68,
62,
61,
60,
50,
49,
36,
30,
15,
14,
1,
A minimial list of forms whose truth in this model imply all others that are true in this model: 8-63-91-191
Falses that are implied by others list: 88-133-163-192-193
References for models trues falses list: ReferencesBrunner [1982a], Blass [1979], notes 18, 60, 100, and120(4 and 56).
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