of Humanistic Mathematics Humanistic Mathematics Aesthetic Considerations in Mathematics Aesthetic Considerations in Mathematics Aesthetic Considerations in Mathematics
of Humanistic Mathematics Humanistic Mathematics Aesthetic Considerations in Mathematics Aesthetic Considerations in Mathematics Aesthetic Considerations in Mathematics
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人文数学 人文数学 数学中的美学考量 数学中的美学考量 数学中的美学考量
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通讯作者：
P. Biermann
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作者：
L. Caramete;P. Biermann
借鉴人文数学的一些原则，首先概述了由阿尔文·怀特，本文试图检查的方式，其中价值判断牵连到数学学科的发展。在对历史上赋予数学美学的一些角色进行了简短的概述之后，我转向更现代的美学定位，以便开发一个框架，提供对限制数学中所做的事情，如何做以及为什么做的特定价值，假设和欲望的见解。我的目标，至少在一定程度上，是把最近在文化人种学和数学认知史方面所做的一些工作集中在一起，这样做，为美学考虑在数学历史和哲学中的重要性和相关性提供更有力的理论基础。最后，我用这个框架来推广数学评论家的想法，他们可以为数学做艺术评论家为艺术做的事情，也就是说，不仅要评估和解释艺术，还要努力建立其可访问性和可信度。，
Drawing on some of the principles of humanistic mathematics first outlined by Alvin White, this paper seeks to examine the way in which value judgments are implicated in the growth of the mathematics discipline. After a short overview of some of the roles ascribed to the mathematical aesthetic historically, I turn to more contemporary positioning of the aesthetic in order to develop a framework that offers insight into the particular values, assumptions and desires that constrain what is done in mathematics, how it is done and why. My goal, at least in part, is to bring together under one umbrella some of the recent work that is being done in the cultural ethnography and cognitive history of mathematics and, in so doing, provide a stronger rationale for the importance and relevance of aesthetic considerations in the history and philosophy of mathematics. Finally, I use this framework to promote the idea of a mathematics critic, who could do for mathematics what art critics do for the arts, namely, to not only evaluate and explain art, but to work toward establishing its accessibility and credibility. ,