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- It also gave rise to problems in the foundations of mathematics with which the twentieth century is still struggling. 它引出关于数学基础的许多问题，这些问题在二十世纪仍然进行着争论。
- The research of the foundations of mathematics falls into three schools of thought: logicism, formalism and intuitionism. They constitute mathematics by means of rationalism and maintain that mathematics is a Euclidean system. 数学基础的研究;形成了逻辑主义、形式主义和直觉主义三大学派;其运用理性主义构造数学;认为数学是一个欧几里得系统.
- Consider, for example, the crisis which was precipitated in the foundations of mathematics, at the turn of the century, by the discovery of Russell's paradox and other antinomies of set theory. 例如，看一下十九世纪与二十世纪之交由于罗素悖论和集合论的其他矛盾的发现在数学基础中突然引起的危机。
- Socrates laid the foundations of logic. 苏格拉底奠定了逻辑学的基础。
- One may also imagine how distasteful it should be to mathematician to show them that the greatest mathematical conjecture ever, that seems provide the number theoretical foundations of mathematics. 人们可以想象，向一位数学家出示看来为数学提供数论基础的数学猜想是一件多么令人讨厌的事。
- Badgers had undermined the foundations of the church. 獾在这座教堂的地基处打了洞。
- Grattan-Guinness, I., The Development of the Foundations of Mathematical Analysis from Euler to Riemann, MIT Press, Cambridge, Mass., 1970. 简介：介绍了欧拉、高斯、黎曼等数学家当时要建立新的数学的艰辛。
- What phase of mathematics are you studying now? 你在学习哪一方面的数学?
- The foundations of the house are insecure. 这房屋的地基不牢固。
- Real game programmers aren't afraid of mathematics. 真正的游戏程序员从不惧怕数学。
- Statistics is a branch of mathematics. 统计学是数学的一个分支。
- As a mathematician, Russell is critical of arithmetization of mathematics theory underlying the basic of mathematics.In Russell"s opinion, logic should be the foundation of mathematics. 认为罗素形成数学逻辑主义思想的历史背景在于他对数学基础建立在数学理论的“算术化”的不满。
- You must understand the elements of mathematics before we can proceed further. 你必须先弄懂数学基础知识，我们才能进一步学习。
- The foundations of the building have subsided. 该建筑的地基已下沉了。
- Statistics is just one branch of mathematics. 统计学仅是数学的一个分支。
- He can't grasp the basic concepts of mathematics. 他无法掌握数学的基本概念。
- The foundations of the house are being laid today. 今天正在给房子打地基。
- I have very little knowledge of mathematics. 我对数学几乎一无所知。
- A student of mathematics must fix in mind the symbols and terms in mathematics in order that he may be able to have the foundation of the mathematical subject . 为了能打下数学基础，一个学数学的人必须牢记数学中所用的符号及术语。
- Mice had undermined the foundations of the church. 老鼠破坏了教堂的地基。
