| 数学本质探讨 |
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| 引用本文： | 蔡菊苏.数学本质探讨[J].绍兴文理学院学报,1992(5). |
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| 作者姓名： | 蔡菊苏 |
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| 作者单位： | 绍兴师专数学系 |
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| 摘 要： | 本文根据恩格斯关于数学的论述和数学发展的实际,对数学的本质作初步的探讨,提出如下的看法:(1)数学的对象仍是现实世界的空问形式和数量关系.但有必要作广义的理解;(2)数学研究是对摹写现实的思想材料的形式化抽象和逻辑再造,思维性对象, 形式化抽象和逻辑的方法,这就是效学研究的本质特性.
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| 关 键 词： | 抽象思维 纯粹形式 形式化抽象 逻辑再造 |
Inquires into the Essence of Mathematics |
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| Cai Jusu.Inquires into the Essence of Mathematics[J].Journal of Shaoxing College of Arts and Sciences,1992(5). |
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| Authors: | Cai Jusu |
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| Institution: | Department of Mathematics |
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| Abstract: | This article inquires into the essence of mathematics according to Engel's exposition about mathematics and the actual development of mathematics, and holds the following views: (1) The object of mathematics are still the space form and quantitative relation in the realistic world, but it must be understood in a broad sense; (2)The essential characteristics of the mathematics studies are the formalized obstraction and logical reconstruction of the thinking materials depicting the reality. |
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| Keywords: | obstract thought pure form formalized abstraction logical reconstruction |
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