的意思 set theory

1. Set theory is a branch of mathematical logic that studies collections of objects called sets.
集合论是研究被称为集合的对象的数学逻辑分支。

2. In set theory, a set is considered as a well-defined collection of distinct objects.
在集合论中，集合被视为明确定义的不同对象的集合。

3. Set theory is used in various areas of mathematics, including algebra, topology, and analysis.
集合论在数学的各个领域中被使用，包括代数、拓扑学和分析学。

4. The concept of infinity plays a significant role in set theory, particularly in the study of infinite sets.
无穷概念在集合论中扮演着重要角色，特别是在无限集合的研究中。

5. Set theory provides a foundation for modern mathematics and serves as a framework for defining and studying mathematical structures.
集合论为现代数学提供了基础，并作为定义和研究数学结构的框架。

6. Mathematicians such as Georg Cantor and Bertrand Russell made significant contributions to the development of set theory.
数学家如乔治·康托尔和伯特兰德·罗素为集合论的发展做出了重要贡献。