文章在概述笛卡儿的正方论点的基础上，综述了罗素的反驳和福尔斯的调和论。
This article summarizes the argument of Descartes and refutation of Bertrand Russell and John Fowles' compromise.
笛卡儿从哥白尼、伽利略和其他科学家的新物理学和天文学中获得了灵感。
Descartes received his stimulus from the new physics and astronomy of Copernicus, Galileo, and others.
勒奈·笛卡儿在他的著作《沉思集》（1642）中讨论了这样的想法：他可能被一个邪恶的天才所欺骗。 “某个恶毒的魔鬼，已用尽他的所有诡计来蒙骗我。”
René Descartes in his book, Meditations (1642), discussed the idea that he might be deceived by a malign genius, "some evil demon, who has used all his artifice to deceive me".
只不过是因为地理的关系使牛顿和笛卡儿接触到了新的问题罢了。
It was just that geography thrust new questions on Newton and Descartes.
安瑟伦的本体论证明在之后被圣托马斯·阿奎那和笛卡儿所引用，但也被康德大力批判。
Versions of Anselm’s ontological argument were later used by both St. Thomas Aquinas and Rene Descartes and were, much later still, heavily criticised by Immanuel Kant.
splot命令默认使用的是笛卡儿坐标系，不过也可以支持球面或柱面坐标系。
The splot command is Cartesian by default but can also support spherical and cylindrical coordinates.
仅仅有好头脑还不够，重要的是要善于使用它。- - - - - -笛卡儿。
It is not enough to have a good mind. The main thing is to use it well. — Descartes.
1633年，迦利略被罗马天主教会控告有罪，使笛卡儿放弃了出版《世界》，这是他前四年的心血的结晶。
In 1633, Galileo was condemned by the Roman Catholic Church, and Descartes abandoned plans to publish Treatise on the World, his work of the previous four years.
当笛卡儿说：“征服你自己有甚于征服全世界。”他的意思究竟还是一样——那就是我们没有希望也得行动。
When Descartes said, "Conquer yourself rather than the world," what he meant was, at bottom, the same - that we should act without hope.
针对一个教学型多关节机器人的机械特点，不用一般的齐次转换的方法而是用简单的笛卡儿几何的方法解决了其运动学逆问题。
Aiming at the mechanism character of a multi axes robot the location kinematics negative problem was solved by simple Descartes geometry instead of general matrix transform.
算法列举分析出了三种可能的骨干网形状，分别是类笛卡儿坐标模型、树型模型、环型模型。
The algorithm lists and analyzes three possible backbone forms, which are similar Descartes coordinate model, tree model and doughnut model.
本文还表明，笛卡儿坐标比球坐标能提供更多的物理内容。
Our studies show that the Cartesian coordinate offers more perfect description than the spherical polar one does.
针对迷宫这类特殊的环境模型，提出了基于笛卡儿坐标系的新的路径规划算法。
Aiming at the especial circumstance model of maze, maze path_planning algorithm based on cartesian co-ordinates is raised.
分析和计算的空间问题，一般可采用两类坐标系：笛卡儿直角坐标系和极坐标系。
There are two kinds of coordinates, Cartesian coordinates and polar coordinates, with which spatial issues are analyzed and calculated.
针对一个教学型多关节机器人的机械特点，不用一般的齐次转换的方法而是用简单的笛卡儿几何的方法解决了其运动学逆问题。
Aiming at the mechanism character of a multi axes robot, the location kinematics negative problem was solved by simple Descartes geometry instead of general matrix transform.
笛卡儿余生里继续出版关于数学和哲学的著作。
Descartes continued to publish works concerning both mathematics and philosophy for the rest of his life.
该方法利用半球谐基函数对入射光线正交化，利用两个半球上的笛卡儿积来定义物体表面的双向反射率分布函数。
This method USES the hemispherical harmonics basis to represent incoming radiance and USES the Cartesian product of two hemispheres to define the BRDFs.
先验哲学肇端于笛卡儿“我思故我在”的哲学原则，以“先验自我”为阿基米德点而使世界在主观性中客观化。
Transcendental philosophy started with Descartess philosophical principle which makes the world objective in subjectivity with "transcendental self" as the Archimedess point.
“笛卡儿”正交坐标法在自然科学技术中的应用已广为人知。本文探讨了用任意坐标法参与图案设计的无限变形，旨在进一步扩大丝绸图案变形的变象范围。
A discussion on the application of random coordinate system to the infinitive variation in pattern design aimed to enlarge the range of image variation for silk patterns.
本文指出，在量子理论中，笛卡儿坐标系的地位与其它广义坐标系有所不同。
In this paper, the author points out that Cartesian coordinate system is a specified one which is different from all others in quantum theory.
如果我所见的比笛卡儿远一点，那是因为我站在伟人的肩上的缘故。
If Ihave seen farther than Descartes, it is because Istand on the shoulders of giants.
但是，当我们从物理的角度审视这一问题时，就会发现可以把这个曲面嵌入一个三维空间中，粒子的运动可以在笛卡儿坐标下分解为三个互相正交的方向。
However, when examining the same problem in the physical point of view, the motion of the particle can also be described in the three-dimensional coordinates.
该文采用笛卡儿坐标和建立约束方程的局部方法，给出了一种求解多体系统约束力的方法。
An approach to solve constraint forces of multi-body system is presented by means of Cartesian coordinate and partial approach of constraint equations.
r笛卡儿提出了一种比较好的方法，并建立了解析几何(也称为笛卡儿几何)这门学科。
A much better way was suggested by Rene Descartes, who introduced the subject of analytic geometry (also known as Cartesian geometry). Descartes' idea was to represent geometric points by Numbers.
而勒奈•笛卡儿曾写道：“如此完美的六边形，六个边是那么的直，六个棱角是那么的对称，简直就是天斧神工。”
And Rene Descartes once wrote, "so perfectly formed in hexagons, and of which the six sides were so straight, and the six angles so equal, that it is impossible for men to make anything so exact."
本文利用线性空间笛卡儿积的思想，给出了关于上述结论的简洁的、严密的逻辑证明。
Given a simple rigorous proof for the theorem by structuring Cartesian product of linear Spaces.
本文利用线性空间笛卡儿积的思想，给出了关于上述结论的简洁的、严密的逻辑证明。
Given a simple rigorous proof for the theorem by structuring Cartesian product of linear Spaces.
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