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Titlebook: Diagrams, Visual Imagination, and Continuity in Peirce‘s Philosophy of Mathematics; Vitaly Kiryushchenko Book 2023 Springer Nature Switzer

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發(fā)表于 2025-3-21 16:57:19 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Diagrams, Visual Imagination, and Continuity in Peirce‘s Philosophy of Mathematics
編輯Vitaly Kiryushchenko
視頻videohttp://file.papertrans.cn/271/270836/270836.mp4
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
叢書名稱Mathematics in Mind
圖書封面Titlebook: Diagrams, Visual Imagination, and Continuity in Peirce‘s Philosophy of Mathematics;  Vitaly Kiryushchenko Book 2023 Springer Nature Switzer
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
關(guān)鍵詞semiotics; patterns; psychology of vision; Kant‘s transcendental schemata; continuity of spacial represe
版次1
doihttps://doi.org/10.1007/978-3-031-23245-9
isbn_softcover978-3-031-23247-3
isbn_ebook978-3-031-23245-9Series ISSN 2522-5405 Series E-ISSN 2522-5413
issn_series 2522-5405
copyrightSpringer Nature Switzerland AG 2023
The information of publication is updating

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https://doi.org/10.1007/978-3-531-91429-9ment upon it and to visually demonstrate the necessity of a given conclusion. On the other hand, it represents an abstract mathematical entity that cannot be reduced to a sum total of its particular representations. It follows, then, that a diagram partakes the characteristics of both an individual
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Manfred Thumm,Werner Wiesbeck,Stefan Kern of the ways to “prove” his version of pragmatism. The most notable attempt at such proof is provided by Peirce in MS 318, where he integrates his pragmatism within his semiotics by reconciling his pragmatic maxim and his general definition of a sign (EP2: 398–433). Pragmatically speaking, the meani
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Darstellung linearer Schaltungen,, the absence of intuitive guidance, which initially paved the way to the solution, leads to the exponential growth in the number of possible rewrites that are, at times, too much to handle even for a powerful AI (Kulpa 2009, p. 76). Mathematicians tend to make shortcuts in their demonstrations, and
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2522-5405 cal andmathematical ideas, bits and pieces of his biography, his personal intellectual predispositions, and his scientific practice as an applied mathematician..978-3-031-23247-3978-3-031-23245-9Series ISSN 2522-5405 Series E-ISSN 2522-5413
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