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

In: Geometry in History

Author

Listed:
  • Arkady Plotnitsky

    (Purdue University, Literature, Theory, and Culture Program)

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.

Suggested Citation

  • Arkady Plotnitsky, 2019. "On the Concept of Curve: Geometry and Algebra, from Mathematical Modernity to Mathematical Modernism," Springer Books, in: S. G. Dani & Athanase Papadopoulos (ed.), Geometry in History, chapter 0, pages 153-212, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-13609-3_5
    DOI: 10.1007/978-3-030-13609-3_5
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