| 数学发展中的对称破缺及其作用 |
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| 引用本文： | 冯进.数学发展中的对称破缺及其作用[J].科学技术与辩证法,2009,26(6):77-83. |
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| 作者姓名： | 冯进 |
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| 作者单位： | 常熟理工学院数学系,江苏,常熟,215500 |
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| 摘 要： | 对称是自然界一个普遍而重要的属性，它从自然界进入数学，再进入到自然科学，给自然科学特别是现代物理学发展以极大启示，并发展出对称破缺思想。通过具体实例分析了数学发展中对称破缺的几种表现形式及它在数学发展中的作用，认为对称破缺是对称性重建的必然途径，数学家在数学研究中都自觉或不自觉地运用对称破缺思想，从而，它是数学发展的内部动力之一。
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| 关 键 词： | 对称 对称破缺 数学发展 内部动力 螺旋渐进 |
Symmetry Breaking and Its Role in the Development of Mathematics |
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| FENG Jin.Symmetry Breaking and Its Role in the Development of Mathematics[J].Science Technology and Dialectics,2009,26(6):77-83. |
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| Authors: | FENG Jin |
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| Institution: | FENG Jin (School of Mathematics and Statistics, Changshu Institute of Technology, Changshu Jiangsu 215500, China) |
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| Abstract: | Symmetry is a widespread and important attribute of nature. This idea found its way into mathematics from nature and then into the natural science, greatly enlightened the natural science especially modern physics and led to the development of the idea of symmetry breaking. The paper analyzes a few manifestations of symmetry breaking in the development of mathematics, its meaning and its function. The author thinks symmetry breaking is the inevitable path that symmetry is rebuilt. Mathematicians all apply this idea in their research work consciously or unconsciously, thus, it is one of the internal motive forces of mathematics development. |
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| Keywords: | symmetry symmetry breaking development of mathematics inner motive power gradual rise |
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