Fraenkel \(\cal N46\): Höft/Howard Model I | Historical notes
Description: The set \(A\) of atoms is denumerable andordered by \(\le\) so that \((A,\le)\) is order isomorphic to the rationals.\(A\) is written as the union \(A = D_1 \cup D_2 \cup D_3\) of three densedisjoint subsets
Parameter(s): This model does not depend on parameters
All Forms Known to be True in \(\cal N46\):
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,
108,
104,
94,
93,
92,
91,
84,
79,
74,
70,
38,
37,
35,
34,
19,
13,
6,
5,
0,
All Forms Known to be False in \(\cal N46\):
430-p,
427,
426,
407,
391,
388,
359,
347,
346,
345,
335-n,
334,
333,
328,
316,
292,
286,
264,
262,
261,
260,
259,
258,
257,
256,
255,
239,
218,
214,
202,
193,
192,
188,
185,
181,
174-alpha,
168,
161,
152,
149,
133,
129,
126,
114,
113,
112,
109,
106,
101,
100,
95-F,
90,
89,
87-alpha,
86-alpha,
77,
71-alpha,
67,
66,
51,
44,
43,
41,
40,
39,
28-p,
20,
15,
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: 84-91-191
Falses that are implied by others list: 15-185
References for models trues falses list: References H\"oft/Howard [1994], Note 18.
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