罗素悖论与多元逻辑方程组无解问题的等价性

Equivalence of Russell's Paradox and Logical Equivalences with No Solution

讨论了无穷序列及其极限的包含、相容、等价关系,主要有如下结论:1、无穷序列包含其极限为假命题;2、无穷序列及其极限相容,潜无穷与实无穷相容;3、无穷序列与其极限不等价;4、罗素悖论与多元逻辑方程组无解问题的等价;5、无穷小数的个数为可数无穷多个,不足以表示整个实数系。

This paper discusses the contains,compatibility and equivalence relations between infinite sequences and its limit,the main conclusions are as follows:1,The infinite sequence contains its limit is a false proposition;2,The infinite sequence and its limit is compatible;3,The infinite sequence is not equivalent to its limit;4,Russell's Paradox is equivalent to logical equivalences with no solution;5,As the number of infinite decimal numbers is countable infinite,it's not enough to express the real number system.