数学是人类文化的重要组成部分。
模糊数学是人类认识事物的规律之一。
Fuzzy Mathematics is one of the rules of human's acknowledgment.
数学是人类文化的重要组成部分，数学与文化有着密切的关系。
Mathematics is a significant part of human culture, and it's closely related to it.
数学是人类的一种文化，它的内容、思想、方法和和语言是现代文明的重要组成部分。
Mathematics is one of the culture to humankind. It is essential part to the Modern civilization that the contents, thought, method and language.
数学是人类文化的重要组成部分，它作为一种理性的深层次文化对人类社会有着深刻的影响。
Mathematics is an important component of human culture, and it has strong influence on society as a rational and profound culture.
这就说明数学是人类的一种文化，它的内容、思想、方法和语言是现代文明的重要组成部分。
This shows that mathematics is a human culture, its contents, ideas, methods and language of modern civilization and an important component.
然而，他反对柏拉图的观点，认为数学是人类文化的产物，与诸如音乐、法律、金钱等产物没有根本上的不同。
Nevertheless, he rejects the Platonic view, arguing instead that mathematics is a product of human culture, not fundamentally different from other human creations like music or law or money.
人类的自由意志似乎是最难以处理的哲学课题，远非数学证明所能表达。
Human free will might seem like the squishiest of philosophical subjects, way beyond the realm of mathematical demonstration.
他可能认为数学是过于理论化，此领域的发现难以为人类产生直接的实际利益。
Mathematics was a field he may have considered too theoretical to produce the direct practical benefits to mankind whose discoverers he sought to reward.
他试图去剖析人类是如何与语言建立起联系，以及如何利用数学和程序设计让机器获得同样的能力。
He wanted to understand how people established a relationship to language and how, using mathematics and computer programming, machines could be equipped with an analogous skill.
在一个数学化的完美宇宙中，人类基本上是不可能存在的，也是不应该存在的。
In a mathematically perfect universe, we would be less than dead; we would never have existed.
因此，人类学中的“文化”的概念，就像数学中“集”的概念一样，是一个抽象概念，它使得大量的具体研究和认识成为可能。
Thus，the anthropological concept of “culture” ，like the concept of “set” in mathematics，is an abstract concept which makes possible immense amounts of concrete research and understanding。
数学，是人类和上帝交流的语言。
Mathematics is the language for mankind to communicate with God.
数学是一门动态的学科，人类用它研究周围的世界并与之沟通。
Mathematics is a dynamically defined discipline used by Man to study and come to terms with the world about him.
数学是一种理性的精神，使人类的思维得以运用到最完善的程度。
Mathematics is a kind of rational spirit, makes possible the use of the human mind to the point of the most perfect.
因此，人类学中“文化”概念就像数学中“集”的概念一样，是一个抽象概念，它使大量的具体研究和认识成为可能。
Thus, the anthropological concept of"culture, "like the concept of"set"in mathematics, is an abstract concept which makes possible immense amounts of concrete research and understanding.
而数学作为人类智慧的结晶，是培养理性思维能力和科学思想方法最好的知识载体。
Mathematics, as the quintessence of human wisdom, is the best carrier to train rational and scientific thinking abilities.
数学认知是人类最重要的高级认知功能之一。
Mathematical cognition is one of the most important cognitive functions of human beings.
开启人类智慧宝库有三把钥匙，一把是数学，一把是文学，一把是音符。
There are three keys to open the treasure house of human wisdom, which are respectively math, literature and note.
数学模型是人类认识和改造世界的有效工具。
The mathematical model is the effective instrument for human to know and transform the whole world.
某些知识的建立只能基于理性的基础之上。他相信，人类理性的最佳运用方式就是建立数学模型，尤其是几何学模型。
The best means of harnessing the power of human reason, Plato believed, was by following the carefully worked-out procedures of mathematics, and in particular of geometry.
人类学对“文化”的概念就像数学“命题”概念一样，是一个使广大无边的具体研究和理解变成可能的抽象的概念。
The anthropological concept of "culture" like the concept of "set" in mathematics, is an abstract concept which makes possible immense amounts of concrete research and understanding.
然而，就像数学中的“集合”的感念，人类学中“文化”的概念是一个抽象的概念，它使大量的具体研究和理解成为可能。
Thus, the anthropological concept of "culture, " like the concept of "set" in mathematics, is an abstract concept which makes possible immense amounts of concrete research and understanding.
因此，人类学中“文化”概念就像数学中“集”的概念一样，是一个抽象概念，它使大量的具体研究和认识成为可能。
Thus, the anthropological concept of culture, like the concept offsetting mathematics, is an abstract concept which makes possible immense amounts of concrete research and understanding.
本文立足于对历史的深入考察，指出从人类现实的社会实践中抽象而来的“实体”范畴乃是数学的最根本的前提性预设，是理解问题的关键。
In this paper, it is pointed out that the category "Entity" is the most important premise of mathematics , and it's also the key to understand the effectiveness of mathematics and it's limitation.
就人类认知时间时的方向而言，绝大多数学者认为人在认知时间的时候总是面向未来无论他是静止的还是移动的。
When it comes to the time experiencer's orientation, most scholars hold that the experiencer always faces the future no matter whether he is stationary or moving.
要弄懂事情发生的基本原因是人性的一个基本部分，这一点可从人类历史进程中探险家、科学家和数学家们的功绩中得以证明。
To understand the underlying reasons why something happens is a fundamental part of human nature, proven by the exploits of explorers, scientists and mathematicians over the course of human history.
要弄懂事情发生的基本原因是人性的一个基本部分，这一点可从人类历史进程中探险家、科学家和数学家们的功绩中得以证明。
To understand the underlying reasons why something happens is a fundamental part of human nature, proven by the exploits of explorers, scientists and mathematicians over the course of human history.
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