请输入您要查询的字词:

 

单词 Löwenheim-Skolem Theorem
释义

Löwenheim-Skolem Theorem

A fundamental result in Model Theory which states that if a countable theory has a model, then it has a countable model. Furthermore, it has a model of every Cardinality greater than or equal to (Aleph-0). This theoremestablished the existence of ``nonstandard'' models of arithmetic.

See also Aleph-0, Cardinality, Model Theory


References

Chang, C. C. and Keisler, H. J. Model Theory, 3rd enl. ed. New York: Elsevier, 1990.


随便看

 

数学辞典收录了8975条数学词条,基本涵盖了常用数学知识及数学英语单词词组的翻译及用法,是数学学习的有利工具。

 

Copyright © 2000-2023 Newdu.com.com All Rights Reserved
更新时间:2025/2/22 2:24:19