| "公理化"或"拟公理化"及其认识论意义 |
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| 引用本文： | 封平华,李东亚."公理化"或"拟公理化"及其认识论意义[J].河南教育学院学报(自然科学版),2004,13(4):19-21. |
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| 作者姓名： | 封平华 李东亚 |
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| 作者单位： | 河南教育学院,数学系,河南,郑州,450014;黄淮学院,数学系,河南,驻马店,463000 |
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| 基金项目： | 河南省教育厅"十五"教育科学规划课题(2004-JKGHB-489) |
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| 摘 要： | “公理化”是几何学的精髓,随着数学乃至科学的发展,“公理化”正在或已经走向“拟公理化”,结合《普通高中数学课程标准(实验)》,本文谈谈“公理化”的数学认识论意义。
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| 关 键 词： | 公理化 拟公理化 演绎几何学 实验几何学 数学认识论 |
| 文章编号： | 1007-0834(2004)04-0019-03 |
| 修稿时间： | 2004年11月18 |
The Importance of Axiomatics or Imitated Axiomatics from the Angel of Theritical Knowledge |
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| FENG Ping-hua,LI Dong-ya.The Importance of Axiomatics or Imitated Axiomatics from the Angel of Theritical Knowledge[J].Journal of Henan Education Institute(Natural Science Edition),2004,13(4):19-21. |
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| Authors: | FENG Ping-hua LI Dong-ya |
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| Abstract: | Axiomatics is the essence of geometry, along with the development of mathematics and science, axiomatics is moving towards imitated axiomatics.This paper exposes the importance of axiomatics or imitate axiomatics from the angle of theoretical knowledge according to the Requirements of Common Middle School Mathematics . |
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| Keywords: | axiomatics imitated axiomatics experimented geometry deductive geometry theory of mathematics knowledge |
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