| 书目名称 | Diagrams, Visual Imagination, and Continuity in Peirce‘s Philosophy of Mathematics | | 编辑 | Vitaly Kiryushchenko | | 视频video | | | 概述 | Provides a wider context for the study of visual experience in mathematics.Compares Peirce’s idea of diagrammatic reasoning with Kant’s transcendental schematism.Offers a fresh perspective on the rela | | 丛书名称 | Mathematics in Mind | | 图书封面 |  | | 描述 | .This book is about the relationship between necessary reasoning and visual experience in Charles S. Peirce’s mathematical philosophy. It presents mathematics as a science that presupposes a special imaginative connection between our responsiveness to reasons and our most fundamental perceptual intuitions about space and time. Central to this view on the nature of mathematics is Peirce’s idea of diagrammatic reasoning. In practicing this kind of reasoning, one treats diagrams not simply as external auxiliary tools, but rather as immediate visualizations of the very process of the reasoning itself. Thus conceived, one‘s capacity to diagram their thought reveals a set of characteristics common to ordinary language, visual perception, and necessary mathematical reasoning. The book offers an original synthetic approach that allows tracing the roots of Peirce’s conception of a diagram in certain patterns of interrelation between his semiotics, his pragmaticist philosophy, his logical andmathematical ideas, bits and pieces of his biography, his personal intellectual predispositions, and his scientific practice as an applied mathematician.. | | 出版日期 | Book 2023 | | 关键词 | semiotics; patterns; psychology of vision; Kant‘s transcendental schemata; continuity of spacial represe | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-031-23245-9 | | isbn_softcover | 978-3-031-23247-3 | | isbn_ebook | 978-3-031-23245-9Series ISSN 2522-5405 Series E-ISSN 2522-5413 | | issn_series | 2522-5405 | | copyright | Springer Nature Switzerland AG 2023 |
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发表于 2025-3-21 16:57:19
