完全性定理

此文证明了主要是对Lw1w（Q）中的模型存在定理及推演完全性定理。

Proves the model existence theorem and completeness theorem in Lw1w ( Q ) .

哥德尔不完全性定理的证明过程有误

On the Mistakes in the Process of Proving Godel Incompleteness Theorem

这一思想方法还有助于我们理解哥德尔不完全性定理。

And this idea improved our understanding of the Incompleteness Theorem .

以哥德尔不完全性定理认识偶数哥德巴赫猜想

Understanding Goldbach 's Conjecture Through Imperfection Theorem

哥德尔不完全性定理明确揭示和证明自己把握真的能力限度。

Godel Incompleteness Theorem definitely reveals and proves the ability limit for oneself to master " truth " .

第二，不完全性定理的完全性是理论的性质，因为它依赖于特定的理论的前提集和模型的特性。

The other is a theoretical quality , for it depends onthe set of primes and models of a fixed theory .

哥德尔不完全性定理越来越受到人们的垂青和重视，但有些却是错解，需要予以澄清。

G ? del 's incompleteness theorem is getting more and more attention , but some solutions are wrong , need to be cleared off .

对于纯数学的基础和结构来说，现代逻辑是一种非常有用的工具，包括哥德尔不完全性定理等，都利用了现代逻辑的技术和成果。

Modern logic is a very useful tool for the basis and structure of pure mathematics . Some mathematical theorems including Godel 's Theorem of Incompleteness applied some technologies and achievements of modern logic .

然后通过此非加权和的完全收敛性定理来研究加权和的完全收敛性定理，从而改进了前人所获得的已有的一些结果。

Then we investigate a theorem for weighted complete convergence though this theorem for non-weighted complete conver - gence . We improve the obtained results of others .

在一些适当的条件下，获得了较为一般的ρ~&混合随机场的部分和的完全收敛性定理，并得到了完全收敛速度与矩条件之间的等价关系。

The general theorems of the complete convergences for sums of ρ - - mixing random fields are obtained under some suitable conditions . And the equivalent relationship between rates of complete convergence and moment condition is obtained .