There are entire fields of mathematics where numerical manipulation is peripheral: logic and geometry, for example.
在数学学科的很多的领域中算术只是起到次要作用，例如逻辑学和几何学。
By following the internal logic of mathematics, a mathematician discovers timeless truths independent of human observation and free of the transient nature of physical reality.
追随数学内在逻辑的脚步，数学家可以超越人类观察的局限，脱离客观存在的暂态，而发现永恒的真理。
Say a personal learning mathematics is to develop a logical ability, I think is inherent logic, not out of things.
说一个人学习高等数学是为了培养逻辑能力，我觉得逻辑能力是与生俱来的东西，并不是培养出来的东西。
This is a work of utmost importance in that it lays the foundations of logic into mathematics and enables us to use this as a tool to explore the unknown.
这项工程至关重要，它奠定了将逻辑引入数学的基石，令后人得以借此途径探索未知世界。
Physicist Diederik Aerts of the Free University of Brussels, Belgium, has shown that these errors actually make sense within a wider logic based on quantum mathematics.
例如，比利时布鲁塞尔自由大学的物理学家DiederikAerts实际上已经用基于量子数学理论的更广泛逻辑来解释这些错误。
We may find out that the dark energy vanishes in a puff of logic when we rid our mathematics of certain assumptions – such as the assumption that the universe is the same in every direction.
当我们排除我们在数学上的某些假设——诸如：假设宇宙在任意一个方向上都是相同的，我们会发现：暗能量在逻辑上成为泡影（“vanishes in apuffof logic”亦译：按逻辑的喷团消失——译者）。
Because Mathematics (Finance) needs the ability of logic thinking and data processing, so I need to keep clear thinking and concentration.
因为数学(金融)需要逻辑思维能力和数据处理，所以我需要保持清晰的思维和浓度。
Most academic subjects have a philosophy, for example the philosophy of science, the philosophy of mathematics, the philosophy of logic, the philosophy of law, and the philosophy of history.
大多数学科有自己的哲学，举例来说，科学哲学、数学哲学、逻辑哲学、法律哲学和历史哲学。
The basic law of information and its application are proven in logic, mathematics and translation.
信息基本定律及其应用即在逻辑、数学和翻译上的证明成功。
He was a formidable polymath, doing important work in mathematics, physics, logic, the study of formal and natural languages, and many other disciplines.
他是一个强大的博学，做数学，物理学，逻辑学的重要工作，正式和自然语言的研究，以及许多其他学科。
George Boole was an English mathematician who helped establish the field of mathematics called symbolic logic.
乔治·布尔是一名曾帮助建立数学邻域中逻辑符号的英国数学家。
On the logical foundation, the application of assumption and set theory is a kind of method to study the philosophy, just like mathematics which is based on assumption and logic.
还是全部?在逻辑的基础上，运用假设和集合论是研究哲学的一种方法，正如数学是建立在假设和逻辑之上的一样。
As the people of mathematics specialty have strong logic thinking ability strong understanding ability.
作为数学专业的人，逻辑思维能力强，理解能力强。
Logic calculus of Discrete Mathematics has comprehensive application, in particular, on information handling.
离散数学中的逻辑演算有着广泛的应用，特别是在信息处理方面。
Mathematics is a dialectical unity of logic and inductive procedures.
数学是逻辑程序与归纳程序的辩证统一。
Logic value in mathematics teaching indicts the significance of logic in mathematics teaching.
数学教学的逻辑价值是指逻辑在数学教学中的意义。
Stressing on the ability of using logic mathematics thinking to solve problems, the logic mathematics intelligence of the theory refers to the ability of using numerals and reasoning.
其中的逻辑数学智能是指有效运用数字和推理的能力，强调了运用逻辑数学思维解决问题的能力。
Inspired by Platonism, the modern culture justifies the mathematics and rational knowledge with the aesthetic character of the logic.
启示于柏拉图主义，近代文化通过逻辑审美特征来为数学和理性知识辩护。
But the interdisciplinary characteristic of Bioinformatics technology, such as complicated mathematics counting, logic analysis, visual data, Often makes biologists hang back.
然而生物信息技术具有跨学科的特点，其中复杂的数学计算、逻辑推导、数据可视化往往令生物学家望而却步。
To process fuzzy phenomenon existed widely in engineering and scientific research, a new method with measuring logic truth scale, having background of medium mathematics system, is proposed.
以中介数学系统为背景，为处理工程实践和科学研究中普遍存在的模糊现象提供一种度量逻辑真值程度的方法。
Mathematical logic, also known as symbolic logic, was developed when people finally realized that the tools of mathematics can be used to study the structure of logic itself.
数理逻辑，也称为符号逻辑，是当人们终于认识到，数学的工具可以用来研究的结构，逻辑本身。
As embodiment of the strict logic, Mathematics is often considered to reject the non-log - IC thinking.
数学作为严格逻辑的化身，常常被认为是拒斥非逻辑思维的。
The knowledge system of mathematics has a few different kinds of structure, logic structure, cognitive structure, structure of teaching materials and teaching structure.
数学知识系统有几种不同的组织结构：逻辑结构、认知结构、教材结构和教学结构，并且都有多种具体表现形式。
Mathematical logic is one of the difficulties of "Discrete Mathematics".
数理逻辑是《离散数学》的难点之一。
Used the methods of documentary, logic analyses and mathematics models, the authors had carried out the research on price-setting strategies of the Olympic Games admission ticket.
方法：运用文献资料法、逻辑分析法和数学模型法，对奥运会门票的定价策略进行研究。
Since the establishment of the mathematical model, we will get some certain results through Logic reasoning or mathematics operation.
在数学模型建立之后，通过逻辑推理或数学运算可以推导出一定的结果。
The question of a new logic is always also the question of the relationship between philosophy and mathematics.
一个新逻辑的问题也常常是哲学和数学之间关系的问题。
In the philosophy of mathematics, the thesis that all mathematical propositions are expressible as or derivable from the propositions of pure logic.
在数学哲学中，认为数学是从逻辑推导出来的一种论点。
In the philosophy of mathematics, the thesis that all mathematical propositions are expressible as or derivable from the propositions of pure logic.
在数学哲学中，认为数学是从逻辑推导出来的一种论点。
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