Further Investigations of the History, Philosophy and Foundations of Non-Archimedean Mathematics

非阿基米德数学的历史、哲学和基础的进一步研究

• 批准号: 9602154
• 负责人: Philip Ehrlich
• 金额: --
• 依托单位: Ohio University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1996
• 资助国家: 美国
• 起止时间: 1996-09-01 至 1999-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9602154&HistoricalAwards=false
• 关键词: Further; Investigations; History; Philosophy; Foundations

Between the early 1987s and the 1961 publication of Abraham Robinson's celebrated work on non-standard analysis there emerged a large, diverse, technically deep and philosophically pregnant body of consistent (non-Archimedean) mathematics concerned with the infinitely large and infinitely small. This important body of work has continued to grow in recent decades, producing a number of truly major accomplishments. The central aims of the project are to examine the historical development of this line of research, exploring its implications for the theory of measurement and the philosophy of space and time.

从1987年代初到1961年亚伯拉罕·罗宾逊关于非标准分析的著名著作出版，出现了一个庞大的、多样的、技术上很深的、孕育着生命力的、与无穷大和无穷小有关的一致（非阿基米德）数学体系。近几十年来，这一重要的工作不断增加，取得了一些真正重大的成就。该项目的主要目的是研究这一研究领域的历史发展，探索其对测量理论和时空哲学的影响。