帕斯卡尔的早期数学观

发布时间：2018-05-13 01:42

本文选题：帕斯卡尔 + 数学观　；参考：《上海师范大学学报(哲学社会科学版)》2017年06期

【摘要】：数学是社会思想和文化的产物,几乎每一位数学家的数学观都受到其所生活的时代和环境的智识氛围、思想思潮和所有社会资源的影响。在这方面,帕斯卡尔早期数学观的发展变化提供了一个典型的案例,其典型特征是他关于数学的观点与其宗教追求密切地联系在一起,主要体现在其数学研究的动机、目标以及他对数学之于信仰的价值等问题坚持不懈的追求和思考上。帕斯卡尔的早期数学观深受以梅森为代表的巴黎数学家团体的影响;他们对数学的神圣性、有效性和确定性深信不疑,数学研究是其信仰的一部分。这种认识奠定了帕斯卡尔数学生涯的基础,他的数学实践深深地打上这种宗教数学观的烙印,其关于算术三角形的工作即是这种特色的典型体现。但同时,随着帕斯卡尔交往圈子的扩大,詹森主义者对数学之于信仰的价值的质疑以及德·梅勒爵士对于数学的确定性以及应用的局限性的质问,促使帕斯卡尔对其早期数学观进行反思。
[Abstract]:Mathematics is the product of social thought and culture. Almost every mathematician's view of mathematics is influenced by the intellectual atmosphere, ideological trend and all social resources of the time and environment in which he lives. In this regard, the evolution of Pascal's early view of mathematics provides a typical case, characterized by the fact that his views on mathematics are closely related to his religious pursuits, mainly in the motivation of his mathematical research. Goal and his persistent pursuit and reflection on the value of mathematics to faith. Pascal's early view of mathematics was greatly influenced by the Paris mathematician community represented by Mason, who believed in the sanctity, validity and certainty of mathematics, and that mathematical research was a part of his belief. This understanding laid the foundation of Pascal's mathematics career, and his mathematical practice was deeply marked by this religious view of mathematics, and his work on arithmetic triangles was a typical embodiment of this characteristic. But at the same time, with the expansion of Pascal's circle of communication, the Jansenists questioned the value of mathematics to faith, and Sir de Mailer questioned the certainty of mathematics and the limitations of its application. It urges Pascal to reflect on his early view of mathematics.
【作者单位】：上海师范大学哲学与法政学院;
【基金】：上海高校高峰高原学科建设计划资助
【分类号】：O11

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