| 书目名称 | The Argument of Mathematics | | 编辑 | Andrew Aberdein,Ian J Dove | | 视频video | | | 概述 | Investigates the relationship between argumentation theory and the philosophy of mathematical practice..Challenges the assumption that there is no role for informal logic in mathematics.Offers large a | | 丛书名称 | Logic, Epistemology, and the Unity of Science | | 图书封面 |  | | 描述 | .Written by experts in the field, this volume presents a comprehensive investigation into the relationship between argumentation theory and the philosophy of mathematical practice. Argumentation theory studies reasoning and argument, and especially those aspects not addressed, or not addressed well, by formal deduction. The philosophy of mathematical practice diverges from mainstream philosophy of mathematics in the emphasis it places on what the majority of working mathematicians actually do, rather than on mathematical foundations..The book begins by first challenging the assumption that there is no role for informal logic in mathematics. Next, it details the usefulness of argumentation theory in the understanding of mathematical practice, offering an impressively diverse set of examples, covering the history of mathematics, mathematics education and, perhaps surprisingly, formal proof verification. From there, the book demonstrates that mathematics also offers a valuable testbed for argumentation theory. Coverage concludes by defending attention to mathematical argumentation as the basis for new perspectives on the philosophy of mathematics. . | | 出版日期 | Book 2013 | | 关键词 | Argumentation theory; Concept of Argumentation; Formal proof verification; Perelman’s system of argumen | | 版次 | 1 | | doi | https://doi.org/10.1007/978-94-007-6534-4 | | isbn_softcover | 978-94-017-8194-7 | | isbn_ebook | 978-94-007-6534-4Series ISSN 2214-9775 Series E-ISSN 2214-9783 | | issn_series | 2214-9775 | | copyright | Springer Science+Business Media Dordrecht 2013 |
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发表于 2025-3-21 18:05:00
