Article ID: CBB000048153

Concepts and the mangle of practice: Constructing quaternions (1995)

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Description “Hamilton's discovery of quaternions is not just well-documented, it is also much written about. ... What differentiates my account from others is my desire to show that Hamilton's work can be grasped within the more general understanding of agency and practice that I call the mangle. Together with the notions of free and forced moves and disciplinary agency, that of the open-endedness of modeling is especially important here, and in what follows I seek to locate the free moves in Hamilton's eventual route to quaternions by setting that trajectory in relation to his earlier attempts to construct systems of `triplets”'. Followed by a response by Flanagan, Owen, “The moment of truth on Dublin Bridge” (pp. 467-474) and a reply (pp. 475-480).


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Authors & Contributors
Hankins, Thomas L.
Bachelard, S.
Wilson, Nancy
Mathews, Jerold
Bloor, David
Waerden, Bartel Leendert van der
Journals
Historia Mathematica
Actes du ... Congrès International d'Histoire des Sciences
Studies in History and Philosophy of Science
British Society for the History of Mathematics Bulletin
Archive for History of Exact Sciences
Isis: International Review Devoted to the History of Science and Its Cultural Influences
Publishers
Vandenhoeck & Ruprecht
Cambridge University Press
Cornell University
Concepts
Algebra
Mathematics
Mathematical analysis
Optics
Explanation; hypotheses; theories
Geometry
People
Hamilton, William Rowan
Peacock, George
Kant, Immanuel
Weierstrass, Karl Theodor
Boole, George
De Morgan, Augustus
Time Periods
19th century
18th century
Places
British Isles
Institutions
Cambridge University
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