Titlebook: Logos and Alogon; Thinkable and the Un Arkady Plotnitsky Book 2022 The Editor(s) (if applicable) and The Author(s), under exclusive license

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Arkady PlotnitskyProvides a new approach to the philosophy of mathematics, rethinking the conceptual structure of mathematics.Presents a new perspective on key figures of modern mathematics, as Galois, Riemann, Noethe

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978-3-031-13680-1The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl

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Introduction,e more often used than reflected on, and sometimes forgotten. By contrast, this book takes advantage of this fact, by considering the thinking of key figures of modern and some earlier mathematics, such as the Pythagoreans, Descartes, Fermat, Galois, Riemann, Weyl, Noether, Weil, and Grothendieck.

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ey figures of modern mathematics, as Galois, Riemann, Noethe.This book is a philosophical study of mathematics, pursued by considering and relating two aspects of mathematical thinking and practice, especially in modern mathematics, which, having emerged around 1800, consolidated around 1900 and ext

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Introduction,ical, or mathematical, thus putting history in the service of mathematics and philosophy. On the other hand, neither mathematics nor the philosophy of mathematics has ever existed without their history. Every concept or theory, no matter how innovative, has a history and depends on it, a circumstanc

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