Ernst Cassirer’s Philosophy of Mathematics – A Cultural Philosophy of Mathematics at the Beginning of the 20th Century.

该项目将制定一个全面的分析恩斯特卡西尔的数学哲学考虑到他的整个哲学方式从早期的认识论作品，他的文化哲学。它结合了目的，最近的研究卡西尔强调，每一个讨论的一个特殊问题不能忽视系统的野心，他的哲学一方面与最近日益增长的兴趣卡西尔所产生的哲学数学只讨论专门的问题，只指他早期的认识论作品的其他。特别是，卡西尔的存档个人文件有关的数学将进行分析，结构之间的比较概念的数学尼古拉斯德库萨和卡西尔将阐述，并回答这个问题是否以及在什么意义上卡西尔可以被称为结构主义者方面的数学。

The project will work out an encompassing analysis of Ernst Cassirer’s philosophy of mathematics taking into account his whole philosophical way from the early epistemological works up to his cultural philosophy. It combines the aims of the recent research on Cassirer emphasizing that every discussion of a special issue must not neglect the systematic ambitions of his philosophy on the one hand with the recently growing interest on Cassirer stemming from the philosophy of mathematics which discusses only specialized questions and refers only to his early epistemological works on the other. In particular, Cassirer’s archived personal papers related to mathematics will be analyzed, a structural comparison between the concepts of mathematics of Nicolas de Cusa and Cassirer will be elaborated, and the question will be answered whether and in what sense Cassirer could be called a structuralist with respect to mathematics.