| 书目名称 | Visualization, Explanation and Reasoning Styles in Mathematics | | 编辑 | Paolo Mancosu,Klaus Frovin Jørgensen,Stig Andur Pe | | 视频video | | | 概述 | Unique focus on the relationship between philosophy of mathematics and mathematical practice.Contains groundbreaking contributions on visualization, explanation and reasoning styles in mathematics | | 丛书名称 | Synthese Library | | 图书封面 |  | | 描述 | In the 20th century philosophy of mathematics has to a great extent been dominated by views developed during the so-called foundational crisis in the beginning of that century. These views have primarily focused on questions pertaining to the logical structure of mathematics and questions regarding the justi?cation and consistency of mathematics. Paradigmatic in this - spect is Hilbert’s program which inherits from Frege and Russell the project to formalize all areas of ordinary mathematics and then adds the requi- ment of a proof, by epistemically privileged means (?nitistic reasoning), of the consistency of such formalized theories. While interest in modi?ed v- sions of the original foundational programs is still thriving, in the second part of the twentieth century several philosophers and historians of mat- matics have questioned whether such foundational programs could exhaust the realm of important philosophical problems to be raised about the nature of mathematics. Some have done so in open confrontation (and hostility) to the logically based analysis of mathematics which characterized the cl- sical foundational programs, while others (and many of the contributors to this bo | | 出版日期 | Book 2005 | | 关键词 | Algebra; calculus; geometry; mathematics; philosophy of mathematics; proof | | 版次 | 1 | | doi | https://doi.org/10.1007/1-4020-3335-4 | | isbn_softcover | 978-90-481-6837-8 | | isbn_ebook | 978-1-4020-3335-3Series ISSN 0166-6991 Series E-ISSN 2542-8292 | | issn_series | 0166-6991 | | copyright | Springer Science+Business Media B.V. 2005 |
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发表于 2025-3-21 16:20:01
