书目名称 | Mathematics as a Tool | 副标题 | Tracing New Roles of | 编辑 | Johannes Lenhard,Martin Carrier | 视频video | | 概述 | Shows another level in which the sciences, engineering, and mathematics are intertwined.Combines historical and philosophical accounts with a strong emphasis on practices.Covers material from ancient | 丛书名称 | Boston Studies in the Philosophy and History of Science | 图书封面 |  | 描述 | .This book puts forward a new role for mathematics in the natural sciences. In the traditional understanding, a strong viewpoint is advocated, on the one hand, according to which mathematics is used for truthfully expressing laws of nature and thus for rendering the rational structure of the world. In a weaker understanding, many deny that these fundamental laws are of an essentially mathematical character, and suggest that mathematics is merely a convenient tool for systematizing observational knowledge. .The position developed in this volume combines features of both the strong and the weak viewpoint. In accordance with the former, mathematics is assigned an active and even shaping role in the sciences, but at the same time, employing mathematics as a tool is taken to be independent from the possible mathematical structure of the objects under consideration. Hence the tool perspective is .contextual. rather than ontological. Furthermore, tool-use has to respect conditions like suitability, efficacy, optimality, and others. There is a spectrum of means that will normally differ in how well they serve particular purposes. The tool perspective underlines the inevitably .provisional. | 出版日期 | Book 2017 | 关键词 | Scientific Practice; Mathematical instrument; Computer Modelling; Mathematical practice; Simulation; Math | 版次 | 1 | doi | https://doi.org/10.1007/978-3-319-54469-4 | isbn_softcover | 978-3-319-85400-7 | isbn_ebook | 978-3-319-54469-4Series ISSN 0068-0346 Series E-ISSN 2214-7942 | issn_series | 0068-0346 | copyright | Springer International Publishing AG 2017 |
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