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

该项目将对恩斯特·卡西尔的数学哲学进行全面的分析，考虑到他从早期认识论著作到他的文化哲学的整个哲学方式。它结合了最近关于卡西尔的研究的目的，强调每一个特殊问题的讨论都不能忽视他的哲学的系统野心，另一方面，最近对卡西尔的兴趣源于数学哲学，它只讨论专门的问题，只涉及他早期的认识论著作。特别是，将分析卡西尔与数学有关的个人存档文件，阐述尼古拉斯·德·库萨和卡西尔的数学概念之间的结构比较，并回答卡西尔是否以及在什么意义上可以被称为数学方面的结构主义者。

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.