CONSTANT EXPANSION OF THEORIES AND THE NUMBER OF COUNTABLE MODELS

被引：0
|
作者：
Sembyuly, Baizhanov Bektur [1 ,2 ]
Asylbekovich, Umbetbayev Olzhas [1 ,3 ]
机构：
[1] Inst Math & Math Modeling, 28 Shevchenko St, Alma Ata 050010, Kazakhstan
[2] SDU Univ, 1-1 Abylai khan St, Kaskelen 040900, Kazakhstan
[3] Kazakh British Tech Univ, 59 Tole Bi St, Alma Ata 050000, Kazakhstan
来源：
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2023年 / 20卷 / 02期
关键词：
small theory; the number of countable models; expansion by constants; non-orthogonality of types; ordered structures;
D O I：
10.33048/semi.2023.20.064
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The present paper is dedicated to the method of constant expansion of a complete theory for studying its number of countable models. This paper aims to rehabilitate the method of constant expansion by demonstrating its continued relevance and its potential for use in counting the number of countable models. The main result reveals that the question of reducing the number of countable models from the continuum to a countable number by a constant expansion of a theory remains unanswered, contrary to previous beliefs.
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页码：1037 / 1051
页数：15
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