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).

Citation URI

Chapter
Bloor, David;
(1981)

Hamilton and Peacock on the essence of algebra
(/isis/citation/CBB000020242/)

Article
Bachelard, S.;
(1971 (pub. 1974))

Du rôle de l'interprétation dans les théories algébriques de Hamilton
(/isis/citation/CBB000002219/)

Article
Hendry, John;
(1984)

The evolution of William Rowan Hamilton's view of algebra as the science of pure time
(/isis/citation/CBB000027927/)

Article
Wilson, Nancy;
(1971 (pub. 1974))

On Hamilton's conception of algebra as the science of pure time
(/isis/citation/CBB000011449/)

Chapter
Hankins, Thomas L.;
(1976)

Algebra as pure time: William Rowan Hamilton and the foundations of algebra
(/isis/citation/CBB000012332/)

Book
Waerden, B.L. van der;
(1973)

Hamiltons Entdeckung der Quaternionen. (Veröffentlichung der Joachim-Jungius-Gesellschaft der Wissenschaften.)
(/isis/citation/CBB000023252/)

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/)

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
Sinègre, Luc;
(1995)

Les quaternions et le mouvement du solide autour d'un point fixe chez Hamilton
(/isis/citation/CBB000050540/)

Thesis
Pycior, Helena M.;
(1976)

The role of Sir William Rowan Hamilton in the development of British modern algebra
(/isis/citation/CBB001563493/)

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
Cinzia Cerroni;
(2017)

From the Theory of “Congeneric Surd Equations” to “Segre's Bicomplex Numbers”
(/isis/citation/CBB849117197/)

Article
Hankins, Thomas L.;
(1977)

Triplets and triads: Sir William Rowan Hamilton on the metaphysics of mathematics
(/isis/citation/CBB000022414/)

Article
Nakane, Michiyo;
(1990)

W.R. Hamilton's characteristic function and the “principle of least action” in his research on optics. (In Japanese)
(/isis/citation/CBB000047727/)

Article
Simmons, Charlotte;
(2008)

William Rowan Hamilton and George Boole
(/isis/citation/CBB000931920/)

Book
Hamilton, William Rowan;
Scaife, Brendan;
(2000)

Mathematical Papers of Sir William Rowan Hamilton, Volume IV: Geometry, Analysis, Astronomy, Probability and Finite Differences, Miscellaneous
(/isis/citation/CBB000100227/)

Article
Bruno, Giuseppe;
Genovese, Andrea;
Improta, Gennaro;
(2011)

Routing Problems: A Historical Perspective
(/isis/citation/CBB001034720/)

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/)

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

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

Be the first to comment!