Mathematical Innovation and Tradition: The Cartesian Common and the Leibnizian New Analyses
Capitolo
Data di Pubblicazione:
2022
Citazione:
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
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.
Tipologia IRIS:
03 - Contributo in volume
Keywords:
Isaac Newton; Gottfried Wilhelm Leibniz; René Descartes; calculus; algebra; analytic geometry
Elenco autori:
G. Niccolò
Link alla scheda completa:
Titolo del libro:
The Cambridge History of Philosophy of the Scientific Revolution