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As background for the study of infinitesimal analysis, we discuss in detail the paradoxes of the Eleatic school, the Pythagorean discovery of incommensurable quantities, and the method of exhaustion of Eudoxus with particular attention to Archimedes’ quadrature of the parabola.

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Inklings of Infinity in Greek Mathematics

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  • 发表日期：

    2026年

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  • Marco Panza,
  • Daniele C. Struppa

摘要

As background for the study of infinitesimal analysis, we discuss in detail the paradoxes of the Eleatic school, the Pythagorean discovery of incommensurable quantities, and the method of exhaustion of Eudoxus with particular attention to Archimedes’ quadrature of the parabola.