| 数学确定性批判 |
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| 引用本文： | 柳劲松. 数学确定性批判[J]. 数学教育学报, 2004, 13(2): 63-64,84 |
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| 作者姓名： | 柳劲松 |
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| 作者单位： | 铜陵职业技术学院,安徽,铜陵,244000 |
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| 摘 要： | 自非欧几何诞生以来，数学史上的几次重大危机，撼动了数学宏伟大厦的根基；罗素悖论的产生，促进了康托集合论公理化基础的改进；哥德尔不完备定理的提出，彻底暗淡了数学确定性的光芒．怀疑、批判是数学发展的真实动力，破除数学确定性的神性观念，重建数学批判性的人文观念，是传统数学教育模式发生根本转变的关键．数学教育的批判性转型任重而道远．
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| 关 键 词： | 数学教学 确定性批判 非欧几何 悖论 不完备定理 |
| 文章编号： | 1004-9894(2004)02-0063-02 |
Criticism to the Certainty of Mathematics |
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| LIU Jin-song. Criticism to the Certainty of Mathematics[J]. Journal of Mathematics Education, 2004, 13(2): 63-64,84 |
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| Authors: | LIU Jin-song |
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| Abstract: | The great crisis in the history of mathematics had shaken the basis of this magnificent mansion, and the appearance of Godels Incomplete Theory had also darkened the rays of the certainty of mathematics completely. Combining with three teaching cases, the author tried to gave a critical analysis to the so-called mathematical certainty. |
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| Keywords: | non-Euclidean geometry paradox certainty mathematics education |
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