On the Concept of Curve: Geometry and Algebra, from Mathematical Modernity to Mathematical Modernism

Arkady Plotnitsky ()
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Arkady Plotnitsky: Purdue University, Literature, Theory, and Culture Program

Chapter Chapter 5 in Geometry in History, 2019, pp 153-212 from Springer

Abstract: Abstract We consider the concept of curve in the context of the transition from mathematical “modernity” to mathematical “modernism,” the transition defined, the article argues, by the movement from the primacy of geometrical to the primacy of algebraic thinking. The article also explores the ontological and epistemological aspects of this transition and the connections between modernist mathematics and modernist physics, especially quantum theory, in this set of contexts.

Keywords: Curve; Mathematical modernism; Mathematical modernity; Algebraization; Quantum theory; History of mathematical thinking; Riemann surface; 00A30; 01A65; 01A60; 81P05 (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-13609-3_5

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DOI: 10.1007/978-3-030-13609-3_5

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