| 从图形“实体”到几何“存在”——对笛卡尔解析几何的哲学反思 |
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| 引用本文： | 罗栋,高剑平. 从图形“实体”到几何“存在”——对笛卡尔解析几何的哲学反思[J]. 自然辩证法研究, 2011, 0(12) |
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| 作者姓名： | 罗栋 高剑平 |
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| 作者单位： | 广西民族大学;广西民族大学政治学与国际关系学院; |
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| 基金项目： | 教育部人文社会科学研究2011年度规划基金项目(11YJA720009) |
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| 摘 要： | 笛卡尔的解析几何与欧几里得的《几何原本》在点、线和空间等基本概念上有较大差异。相对于《几何原本》:解析几何中的点可相互区分,且依赖于与其它点的关系而存在;曲线的存在依赖坐标空间整体,同时是点的运动轨迹,与物理运动的可能路径相关;坐标系通过量化空间,提供了对于空间的完整构造。从图形实体到几何存在,是笛卡尔对于数学实在和存在方式所作的区分。
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| 关 键 词： | 笛卡尔 解析几何 欧几里得几何 图形实体 几何存在 |
From Figure Entities to Geometrical Existence:A Philosophical Reflection to Descartes' Coordinate Geometry |
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| LUO Dong,GAO Jian-ping. From Figure Entities to Geometrical Existence:A Philosophical Reflection to Descartes' Coordinate Geometry[J]. Studies In Dialectics of Nature, 2011, 0(12) |
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| Authors: | LUO Dong GAO Jian-ping |
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| Affiliation: | LUO Dong,GAO Jian-ping(Center for Studies of STS,Guangxi University for Nationalities,Nanning,Guangxi 530006,China) |
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| Abstract: | Points,curves and coordinate system(space),are the basis of Descartes' coordinate geometry.Unlike in Euclidean geometry,points are distinguishable and correlative depended.Curves whose explanations of existence need the understanding of the whole coordinated space are traces of points and originated in tracks of objects' possible physic motions.And coordinate system provides an approach to the construction of space.From figures to shapes is Descartes' distinguishing of geometrical entities with geometrical ... |
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| Keywords: | Descartes coordinate geometry Euclidean geometry figure entities geometrical existence |
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