Archive for History of Exact Sciences 63 (5):471-495 (2009)
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Bonaventura Cavalieri has been the subject of numerous scholarly publications. Recent students of Cavalieri have placed his geometry of indivisibles in the context of early modern mathematics, emphasizing the role of new geometrical objects, such as, for example, linear and plane indivisibles. In this paper, I will complement this recent trend by focusing on how Cavalieri manipulates geometrical objects. In particular, I will investigate one fundamental activity, namely, superposition of geometrical objects. In Cavalieri’s practice, superposition is a means of both manipulating geometrical objects and drawing inferences. Finally, I will suggest that an integrated approach, namely, one which strives to understand both objects and activities, can illuminate the history of mathematics.
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| DOI | 10.1007/s00407-008-0032-z |
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References found in this work BETA
Philosophy of Mathematics and Mathematical Practice in the Seventeenth Century.Paolo Mancosu (ed.) - 1996 - Oxford, England: Oxford University Press.
Philosophy of Mathematics and Deductive Structure of Euclid 's "Elements".Ian Mueller - 1981 - Dover Publications.
Philosophy of Mathematics and Deductive Structure of Euclid 's "Elements".Ian Mueller - 1983 - British Journal for the Philosophy of Science 34 (1):57-70.
Cavalieri's Method of Indivisibles.Kirsti Andersen - 1985 - Archive for History of Exact Sciences 31 (4):291-367.
La Notion d'«Agrégat d'Invisibles» Dans la Constitution de la Cinématique Galiléenne: Cavalieri, Galilée, Torricelli.Egidio Festa - 1992 - Revue d'Histoire des Sciences 45 (2-3):307-336.
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Citations of this work BETA
On the Relationship Between Plane and Solid Geometry.Andrew Arana & Paolo Mancosu - 2012 - Review of Symbolic Logic 5 (2):294-353.
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