查询词典 constructive mathematics

Russell's great contribution to logic and mathematics was his defense of logicism—that is, the theory that all mathematics can, in some fundamental way, be reduced to logical principles.

罗素的巨大贡献，逻辑和数学是他的辩护logicism ，也就是说，所有的理论，数学可以，在一些基本的方式，将减少到合理的原则。

In preface, Russell's mathematics logicism is introduced in brief. It is thought to be include not only the idea of mathematics can be deoxidized to logic, but also the work of settle Russell' paradox.

在前言中，简要地介绍了罗素的数学逻辑主义思想，认为它除了"将数学还原为逻辑"这一观点外，还包括了解决罗素悖论的工作。

Logicism holes that mathematics can be reduced to logic, but the logicists were beaten by the discovery of the set paradox, because they have not discerned the intrinsic differences between logic and mathematics.

逻辑主义认为数学可以化归为逻辑，集合论悖论的发现给逻辑主义者造成重大的打击，逻辑主义失败的原因在于他们没有看到逻辑与数学之间存在着质的区别。

Because the mathematical linguistics are one kind by the mathematical symbol, mathematics terminology and the scientific language which is composed after the improvement natural language, therefore in mathematics teaching, the teacher not suitable direct use mathematical linguistics achievement teaches the language generally, but must act according to student's knowledge foundation and the psychological feature, transforms the mathematical linguistics as easily the language which is accepted by the student.

由于数学语言是一种由数学符号、数学术语和经过改进的自然语言组成的科学语言，因此在数学教学中，教师一般不宜直接使用数学语言作为讲授语言，而必须根据学生的知识基础和心理特征，将数学语言转化为容易被学生所接受的语言。

Yes ah, mathematics is magic, and mathematics is profound, math is fun.

是啊，数学是神奇的，数学是深奥的，数学也是有趣的。

This article discusses the situation mathematics teaching math classroom teaching the significance of mathematics teaching context of the design principles and design methods.

本文主要论述了数学教学情境对数学课堂教学的意义，数学教学情境的设计原则及设计方法。

For finding and training young talent of mathematics, Olympic Math plays a positive role which can improve students' interests and abilities of learning mathematics and their thinking quality.

数学奥林匹克对于发现和培养青少年数学人才，提高学生学习数学的兴趣和能力，改善学生的思维品质等方面，发挥了积极的作用。

If a student has a special passion for mathematics class, do math problems and actively participate in a mathematics competition. We say that the students have an interest in math.

如果一个小学生特别喜欢上数学课，做数学题，积极参加数学竞赛，我们说这个学生对数学产生了兴趣。

It mainly discusses the cultural attributes of mathematics: math is science, math is arts, math is philosophy ,math is tool; And it also talks about educational value of mathematics: cultivating peoples scientific knowledge and humanistic quality.

本部分主要探究数学的文化属性，从数学语言的角度具体阐述数学文化的具体表现，即数学是科学、是艺术、是哲学、是运用的工具；以及它的教育价值，即培养人的科学素养和人文素养。

This is not strange math, mathematics would have a very good math as cute as a cow, but if only in textbooks and classroom, is that mathematics can not see the whole picture, like a cow just to see a small piece so boring.

这不怪数学，数学本来很好，数学就象一条牛一样可爱，但如果仅仅在课本和课堂讲，是不能看到数学的全貌，就象仅仅看到了牛身上的一小片那么枯燥。

We are in a good position to meet your requirements.

我们完全可以满足你方的需求。

We are all pervade d with a sense of disaster.

我们普遍有大祸降临的感觉。