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CERTAIN MODERN IDEAS AND METHODS: “GEOMETRIC REALITY” IN THE MATHEMATICS OF CHARLOTTE ANGAS SCOTT
The Review of Symbolic Logic ( IF 0.9 ) Pub Date : 2019-03-05 , DOI: 10.1017/s1755020319000066
JEMMA LORENAT

Charlotte Angas Scott (1858–1932) was an internationally renowned geometer, the first British woman to earn a doctorate in mathematics, and the chair of the Bryn Mawr mathematics department for forty years. There she helped shape the burgeoning mathematics community in the United States. Scott often motivated her research as providing a “geometric treatment” of results that had previously been derived algebraically. The adjective “geometric” likely entailed many things for Scott, from her careful illustration of diagrams to her choice of references and citations. This article will focus on Scott’s striking and consistent use of geometric to describe a reality of dynamic points, lines, planes, and spaces that could be manipulated analogously to physical objects. By providing geometric interpretations of algebraic derivations, Scott committed to an early-nineteenth-century aesthetic vision of a “whole” analytical geometry that she adapted to modern research areas.

中文翻译:

某些现代思想和方法:夏洛特·安加斯·斯科特数学中的“几何现实”

夏洛特·安加斯·斯科特 (Charlotte Angas Scott) (1858–1932) 是国际知名的几何学家,第一位获得数学博士学位的英国女性,并担任布林莫尔数学系主任长达 40 年。在那里,她帮助塑造了美国蓬勃发展的数学社区。斯科特经常激发她的研究,因为它为以前通过代数得出的结果提供了“几何处理”。形容词“几何”可能对 Scott 来说意味着很多事情,从她对图表的仔细说明到她对参考文献和引文的选择。本文将重点关注 Scott 惊人且一致地使用几何来描述动态点、线、平面和空间的现实,这些点、线、平面和空间可以被类似地操纵为物理对象。通过提供代数推导的几何解释,
更新日期:2019-03-05
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