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Mathematical Practitioners and the Transformation of Natural Knowledge in Early Modern Europe

Part of the Studies in History and Philosophy of Science Book Series (volume 45)

Editors: Cormack, Lesley B.; Walton, Steven A.; Schuster, John A.

DOI: 10.1007/978-3-319-49430-2

ISBN: 978-3-319-49429-6

Publisher: Springer International Publishing - Springer Journals

Mar 16, 2017

1 - 9 of 9 Chapters

LitStream

Chapter 1Introduction: Practical Mathematics, Practical Mathematicians, and the Case for Transforming the Study of Nature

Cormack, Lesley B.

Pages: 1 –8

[This book argues that we can only understand the transformations of nature studies in the early modern period, often called the Scientific Revolution, if we take seriously the interaction between those who know by doing (practitioners or craftsmen) and those who know by thinking (scholars or...
LitStream

Handwork and Brainwork: Beyond the Zilsel Thesis

Cormack, Lesley B.

Pages: 11 –35

[This chapter challenges the traditional historiography of the scientific revolution, arguing that skilled artisans and mathematical practitioners were essential for a transformation of natural knowledge, the so-called ‘scholar-craftsman’ debate. Beginning with a new articulation of Edgar...
LitStream

Consuming and Appropriating Practical Mathematics and the Mixed Mathematical Fields, or Being “Influenced” by Them: The Case of the Young Descartes

Schuster, John A.

Pages: 37 –65

[This chapter aims to clarify how historians can address the problem of what early modern practical and mixed mathematics had to do with the contemporary transformation of natural knowledge, taking the latter primarily as a set of changes in the domain of natural philosophy. It examines this...
LitStream

Mathematics for Sale: Mathematical Practitioners, Instrument Makers, and Communities of Scholars in Sixteenth-Century London

Cormack, Lesley B.

Pages: 69 –85

[“Mathematics for Sale” investigates the location of mathematics within London, arguing that the place and community for practical mathematics provided the foundation for the coffee house culture of the seventeenth century. This paper examines mathematical lectures and especially...
LitStream

Technologies of Pow(d)er: Military Mathematical Practitioners’ Strategies and Self-Presentation

Walton, Steven A.

Pages: 87 –113

[The category of “military mathematical practitioners” consists of those active soldiers and engineers who consciously broadcast their use of mathematical methods to achieve their goals in warfare. These are but a subset of mathematical practitioners more broadly, and they existed on a continuum...
LitStream

Machines as Mathematical Instruments

Keller, Alex G.

Pages: 115 –127

[When Leonardo da Vinci claimed that mechanics is the paradise of the mathematical sciences, he was launching an approach to the design and improvement of machinery. His notebooks witness how far he himself had proceeded in the application of mathematical techniques to such tasks.]
LitStream

The Making of Practical Optics: Mathematical Practitioners’ Appropriation of Optical Knowledge Between Theory and Practice

Dupré, Sven

Pages: 131 –148

[The discussion of the differing practices of mathematical practitioners’ appropriation of the optical tradition in this essay brings out a variety among mathematical practitionersmathematical practitioners and within the tradition of practical mathematics. This diversity is difficult to grasp in...
LitStream

Hero of Alexandria and Renaissance Mechanics

Laird, W. R.

Pages: 149 –165

[The reception in the sixteenth century of the mechanical works of Hero of AlexandriaHero of Alexandria offered an intriguing point of contact between humanists, mathematicians, engineers, and artisans. Although Hero’s most important work, the Mechanics, was unknown in the West, Pappus of...
LitStream

Duytsche Mathematique and the Building of a New Society: Pursuits of Mathematics in the Seventeenth-Century Dutch Republic

Dijksterhuis, Fokko Jan

Pages: 167 –181

[In the seventeenth-century Dutch Republic mathematicians and mathematics acquired notable social and intellectual prestige. They contributed to the establishment of a new state, first through practical projects of fortification, navigation, land management, and later also through learned...

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