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).
Article
Wilson, Nancy;
(1971 (pub. 1974))
On Hamilton's conception of algebra as the science of pure time
(/isis/citation/CBB000011449/)
Article
Hendry, John;
(1984)
The evolution of William Rowan Hamilton's view of algebra as the science of pure time
(/isis/citation/CBB000027927/)
Article
Ohrstrøm, Peter;
(1985)
W.R. Hamilton's view of algebra as the science of pure time and his revision of this view
(/isis/citation/CBB000032020/)
Book
Waerden, B.L. van der;
(1973)
Hamiltons Entdeckung der Quaternionen. (Veröffentlichung der Joachim-Jungius-Gesellschaft der Wissenschaften.)
(/isis/citation/CBB000023252/)
Chapter
Hankins, Thomas L.;
(1976)
Algebra as pure time: William Rowan Hamilton and the foundations of algebra
(/isis/citation/CBB000012332/)
Article
Bachelard, S.;
(1971 (pub. 1974))
Du rôle de l'interprétation dans les théories algébriques de Hamilton
(/isis/citation/CBB000002219/)
Chapter
Bloor, David;
(1981)
Hamilton and Peacock on the essence of algebra
(/isis/citation/CBB000020242/)
Thesis
Pycior, Helena M.;
(1976)
The role of Sir William Rowan Hamilton in the development of British modern algebra
(/isis/citation/CBB001563493/)
Article
Sinègre, Luc;
(1995)
Les quaternions et le mouvement du solide autour d'un point fixe chez Hamilton
(/isis/citation/CBB000050540/)
Article
Lukas M. Verburgt;
(2016)
Duncan F. Gregory, William Walton and the Development of British Algebra: ‘Algebraical Geometry’, ‘Geometrical Algebra’, Abstraction
(/isis/citation/CBB994897235/)
Article
Winterbourne, Anthony T.;
(1982)
Algebra and pure time: Hamilton's affinity with Kant
(/isis/citation/CBB000024354/)
Article
Koetsier, Teun;
(1995)
Explanation in the historiography of mathematics: The case of Hamilton quaternions
(/isis/citation/CBB000070996/)
Article
Cinzia Cerroni;
(2017)
From the Theory of “Congeneric Surd Equations” to “Segre's Bicomplex Numbers”
(/isis/citation/CBB849117197/)
Chapter
Attis, David;
(1997)
The social context of W.R. Hamilton's prediction of conical refraction
(/isis/citation/CBB000077720/)
Article
Anne van Weerden;
Steven Wepster;
(2018)
A Most Gossiped About Genius: Sir William Rowan Hamilton
(/isis/citation/CBB864123041/)
Article
Nakane, Michiyo;
Fraser, Craig G.;
(2002)
The Early History of Hamilton-Jacobi Dynamics, 1834--1837
(/isis/citation/CBB000300291/)
Article
Mathews, Jerold;
(1978)
William Rowan Hamilton's paper of 1837 on the arithmetization of analysis
(/isis/citation/CBB000014873/)
Chapter
Fraser, Craig;
(2000)
Hamilton-Jacobi Methods and Weierstrassian Field Theory in the Calculus of Variations: A Study in the Interaction of Mathematics and Physics
(/isis/citation/CBB000450111/)
Article
Craig Fraser;
Michiyo Nakane;
(2023)
Canonical transformations from Jacobi to Whittaker
(/isis/citation/CBB563006808/)
Article
Nakane, Michiyo;
(1991)
The role of the three-body problem in W.R. Hamilton's construction of the characteristic function for mechanics
(/isis/citation/CBB000058230/)
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