Diagrams Visual Imagination and Continuity in Peirce s Philosophy of Mathematics is popular PDF and ePub book, written by Vitaly Kiryushchenko in 2023-05-12, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Diagrams Visual Imagination and Continuity in Peirce s Philosophy of Mathematics can be Read Online from any device for your convenience.
Diagrams Visual Imagination and Continuity in Peirce s Philosophy of Mathematics Book PDF Summary
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 and mathematical ideas, bits and pieces of his biography, his personal intellectual predispositions, and his scientific practice as an applied mathematician.
Detail Book of Diagrams Visual Imagination and Continuity in Peirce s Philosophy of Mathematics PDF
- Author : Vitaly Kiryushchenko
- Release : 12 May 2023
- Publisher : Springer Nature
- ISBN : 9783031232459
- Genre : Mathematics
- Total Page : 173 pages
- Language : English
- PDF File Size : 7,7 Mb
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