选择公理

具有参数的一般的连续统假设与选择公理

The generalized continuum hypotheses with parameters and the axiom of choice

论选择公理与2~（■0）≥■1的关系

On Relation between Axiom of Choice and 2 ~ (■ _0 )≥■ _1

人们对平行公理和选择公理的态度都表现为：怀疑。

People 's attitude is suspicion of axiom of choice and axiom of parallelism .

选择公理的两个等价形式

Two Forms Equivalent to Zorn 's Lemma

这是一些数学家不喜欢选择公理的理由之一。

This is one of the reasons why some mathematicians dislike the axiom of choice .

选择公理的逻辑分析

The Logical Analysis of Choice Axiom

关于选择公理的某些应用

Some Applications of the Choose Axiom

在测度的平移不变性、选择公理的基础上，证明了不可测集的存在性，并举例说明不可测集的应用，加深了对测度理论的理解。

The existence of the none-measure set is proved by using the translation invariance of measure and the acknowledged truth of selection . Some applications are obtained to strengthen the understanding of Lebesgue measure theory .

条件部分的REASON决定程序下一步执行所选择的公理；

The condition of the REASON decide the axiom decide the next step of the program running .

正则选择函数的公理化特征

The axiomatic characterization of the regular choice functions