During the seventeenth century, the advent of what were known as the “common” and “new” analyses fundamentally changed the mathematical landscape of European mathematics. The widely accepted narrative is that these seventeenth-century analyses, algebra and calculus, mostly due respectively to Descartes and Leibniz, occasioned a transition from geometrical to symbolic methods; i.e., from Euclidean proportion theory to equations. In this chapter, I will show that geometrical interpretations and mechanical constructions still played a crucial role in the mathematical methods of Descartes, Leibniz, and their immediate followers.
Mathematical Innovation and Tradition: The Cartesian Common and the Leibnizian New Analyses / G. Niccolò - In: The Cambridge History of Philosophy of the Scientific Revolution / [a cura di] D.M. Miller, D. Jalobeanu. - Prima edizione. - [s.l] : Cambridge University Press, 2022. - ISBN 9781108420303. - pp. 274-292
Mathematical Innovation and Tradition: The Cartesian Common and the Leibnizian New Analyses
G. Niccolò
2022
Abstract
During the seventeenth century, the advent of what were known as the “common” and “new” analyses fundamentally changed the mathematical landscape of European mathematics. The widely accepted narrative is that these seventeenth-century analyses, algebra and calculus, mostly due respectively to Descartes and Leibniz, occasioned a transition from geometrical to symbolic methods; i.e., from Euclidean proportion theory to equations. In this chapter, I will show that geometrical interpretations and mechanical constructions still played a crucial role in the mathematical methods of Descartes, Leibniz, and their immediate followers.File | Dimensione | Formato | |
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