摘要
数学是客观的还是依赖于它生长的文化,围绕这问题形成了两种不同的数学观念,本文从希腊数学和阿拉伯数学这两种独立的数学传统开始,认为在近代欧洲由于数学可接受性标准的改变,微积分成为数学的核心,经过数学基础论战,产生了两种不同的数学观念,这恰恰表明了民族国家的文化决定的现代数学的面貌,正如同希腊文明产生了完美的希腊数学,阿拉伯文明产生了独特的阿拉伯数学是一样的.
Mathematics is objective or is dependent on the culture in which it was born. There are two different ideas of mathematics about this problem. Beginning from the two independent mathematical tradations of Greek mathematics and Arabian mathematics, this paper points out that in modern Europe differential and integral calculas become the core of mathematics because of the change of mathematical accepted standards, after the debate of foundations of mathematics, and two different ideas of mathematics was formed. This result exactly expresses that the culture of national states decides the features of contemporary mathematics, just as Greek mathematics produced the perfect mathematics and Arabian mathematics produced the distinctive mathematics.
出处
《临沂师范学院学报》
2002年第6期135-138,共4页
Journal of Linyi Teachers' College
