| 由理性到经验--现代数学哲学研究的历史走向 |
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| 引用本文： | 张纯成.由理性到经验--现代数学哲学研究的历史走向[J].河南大学学报(自然科学版),2003,33(4):50-53. |
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| 作者姓名： | 张纯成 |
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| 作者单位： | 河南大学,马列德育部,河南,开封,475001 |
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| 基金项目： | 河南省教育厅人文社会科学基金项目(018-2K-720),河南大学教学改革项目(BW-0309) |
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| 摘 要： | 数学基础的研究，形成了逻辑主义、形式主义和直觉主义三大学派，其运用理性主义构造数学，认为数学是一个欧几里得系统。拉卡托斯通过对三大学派所做工作分析之后，认为数学是一个拟经验系统，数学的真理性是被“说明”，而不是被“证明”的，它的发展模式是：问题——猜测——反驳，数学理论具有可证伪性。由理性主义到经验主义是现代数学哲学研究的历史走向，这种走向表明数学在不断追求完美与和谐。
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| 关 键 词： | 理性主义 经验主义 数学基础 历史走向 |
| 文章编号： | 1003-4978(2003)04-0050-04 |
From Rationality to Empiricism——The Historical Trend of Modern Mathematical Philosophy |
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| ZHANG Chun-cheng.From Rationality to Empiricism——The Historical Trend of Modern Mathematical Philosophy[J].Journal of Henan University(Natural Science),2003,33(4):50-53. |
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| Authors: | ZHANG Chun-cheng |
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| Abstract: | The research of the foundations of mathematics falls into three schools of thought: logicism, formalism and intuitionism. They constitute mathematics by means of rationalism and maintain that mathematics is a Euclidean system. After analyzing the results of the three schools of thought, Lakatos holds that mathematics is a pseudo-empirical system. Its truthfulness is explained rather than proved, and its development mode is: problem-conjecture-refutation. And the mathematical theories have falsifiability. The historical trend of mathematical philosophy is from rationalism to empiricism, which indicates that mathematics is going on pursuing perfection as well as harmony. |
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| Keywords: | rationalism empiricism the foundations of mathematics historical trend |
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