Mathematics and its Public Spheres: Distribution, Transformation, and Reception of Mathematical Knowledge beyond the Disciplinary Discourse in Germany, 1871-1960

数学及其公共领域:1871-1960 年德国学科之外的数学知识的传播、转化和接受

基本信息

项目摘要

The project aims to analyze discourses about the acceptance, adaptation, and rejection of mathematical modes of thought in Germany within the context of social, cultural and political change. Thus, it concentrates on ways of distributing mathematical knowledge beyond the academic realm, which have up to now rarely been considered. The research focus is on the investigation of communication processes, which were intended to convey mathematical knowledge and methods to groups of non-mathematicians with varied qualifications and social backgrounds. The basis for this is a selection of German-language publications with reference to mathematics.Special attention will be paid to authors from the ranks of research mathematicians. In particular, we also want to examine the impact that the communication of mathematical knowledge to non-mathematicians had on the classification and the evaluation of mathematical contents in the disciplinary discourse of mathematicians.On the one hand it is characteristic for the development of mathematics in Germany between 1871 and 1960, that the discipline succeeds in gaining the status of a fundamental cross-disciplinary resource for many fields of the natural, technical and social sciences. On the other hand, mathematical research interests focus mainly on concepts of abstract modern mathematics, which are difficult to access for non-mathematicians. Due to these special tensions, but also as a consequence of the controversy on the relations between science, media and the public sphere (popular science) since the middle of the 19th century, the communication of mathematical contents and the legitimation of mathematical research become increasingly difficult. As a result, the societal discourse has become critical of mathematical knowledge and its relevance for the development of the sciences. Such misgivings have prevailed ever since.Thus, the communication processes described above open an important, up to now scarcely explored research area, which is important beyond the history of mathematics because it also contributes to the field of science communication and helps to understand the process of mathematisation of several academic disciplines. Accordingly, in combining aspects of the history of mathematics, social history, and the history of media as well as of the sociology of science, the project is of interdisciplinary character.
该项目旨在分析在社会、文化和政治变革的背景下,德国对数学思维模式的接受、适应和拒绝的话语。因此,它集中在分配数学知识的学术领域以外的方式,这到目前为止很少被考虑。研究重点是调查的沟通过程,这是为了传达数学知识和方法,以不同的资格和社会背景的非数学家群体。其基础是一个选择的德语出版物与参考数学。特别注意将支付给作者的行列中的研究数学家。特别是,我们还想考察数学知识向非数学家的传播对数学家学科话语中数学内容的分类和评价的影响:一方面,它是1871 - 1960年间德国数学发展的特征,该学科成功地获得了自然,技术和社会科学许多领域的基本跨学科资源的地位。另一方面,数学研究兴趣主要集中在抽象的现代数学概念,这是很难获得非数学家。由于这些特殊的紧张关系,也由于自19世纪中叶以来科学、媒体和公共领域(大众科学)之间关系的争论,数学内容的交流和数学研究的合法性变得越来越困难。因此,社会话语已成为数学知识及其与科学发展的相关性的关键。这样的疑虑一直盛行至今。因此,上述的交流过程开启了一个重要的,迄今为止几乎没有探索过的研究领域,它的重要性超越了数学史,因为它也有助于科学交流领域,并有助于理解几个学科的学术化过程。因此,在结合数学史,社会史,媒体史以及科学社会学的各个方面,该项目具有跨学科的性质。

项目成果

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