| 书目名称 | Mathematics and Its Applications | | 副标题 | A Transcendental-Ide | | 编辑 | Jairo José da Silva | | 视频video | | | 概述 | Offers a new approach to the philosophy of mathematics.Presents a new version of mathematical structuralism.Provides a fresh perspective on the applicability of mathematics in science | | 丛书名称 | Synthese Library | | 图书封面 |  | | 描述 | This monograph offers a fresh perspective on the applicability of mathematics in science. It explores what mathematics must be so that its applications to the empirical world do not constitute a mystery. In the process, readers are presented with a new version of mathematical structuralism..The author details a philosophy of mathematics in which the problem of its applicability, particularly in physics, in all its forms can be explained and justified. Chapters cover: mathematics as a formal science, mathematical ontology: what does it mean to exist, mathematical structures: what are they and how do we know them, how different layers of mathematical structuring relate to each other and to perceptual structures, and how to use mathematics to find out how the world is..The book simultaneously develops along two lines, both inspired and enlightened by Edmund Husserl’s phenomenological philosophy. One line leads to the establishmentof a particular version of mathematical structuralism, free of “naturalist” and empiricist bias. The other leads to a logical-epistemological explanation and justification of the applicability of mathematics carried out within a unique structuralist perspecti | | 出版日期 | Book 2017 | | 关键词 | Philosophy of Mathematics; Structuralism; applicability of mathematics in science; Mathematics as a for | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-63073-1 | | isbn_softcover | 978-3-319-87468-5 | | isbn_ebook | 978-3-319-63073-1Series ISSN 0166-6991 Series E-ISSN 2542-8292 | | issn_series | 0166-6991 | | copyright | Springer International Publishing AG 2017 |
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发表于 2025-3-21 19:13:33
