Introduction

Arkady Plotnitsky
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Arkady Plotnitsky: Purdue University, Literature, Theory, and Cultural Studies Program, Philosophy and Literature Program

Chapter Chapter 1 in Logos and Alogon, 2022, pp 1-32 from Springer

Abstract: Abstract This book belongs to the philosophy rather than the history of mathematics, and the main reasons for considering the history of mathematics in the book are philosophical, 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 circumstance 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.

Keywords: Alogon; Ideality without idealism; Logos; Platonism; Pythagorean mathematics; Radical Pythagorean mathematics; Reality without realism; Thinking (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-13678-8_1

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DOI: 10.1007/978-3-031-13678-8_1

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