Leopold Kronecker constructs in two articles published in 1869 and 1878, a theory which has its roots in Sturm’s work on the determination of the number of real solutions of an equation. The presentation of this theory of characteristics by Émile Picard will give rise to a controversy between the two mathematicians, who claimed the fame for a formula giving the number of solutions of certain systems of several equations. In this article, after an overview of the theory of characteristics, we will show how, through this dispute, it is actually the way these two mathematicians approach mathematics that is at stake.
...MoreSimilar Citations
Article
Brechenmacher, Frédéric;
(2007)
La controverse de 1874 entre Camille Jordan et Leopold Kronecker
(/isis/citation/CBB000930655/)
Book
Cantor, Georg;
Ferreirós, José;
(2006)
Fundamentos para una teoría general de conjuntos: Escritos y correspondencia selecta
(/isis/citation/CBB000930382/)
Chapter
Frederic Brechenmacher;
(2016)
Algebraic Generality versus Arithmetic Generality in the Controversy between C. Jordan and L. Kronecker (1874)
(/isis/citation/CBB161025614/)
Book
Gauthier, Yvon;
(2002)
Internal Logic: Foundations of Mathematics from Kronecker to Hilbert
(/isis/citation/CBB000301820/)
Book
Gray, Jeremy;
Parshall, Karen Hunger;
(2007)
Episodes in the History of Modern Algebra (1800--1950)
(/isis/citation/CBB000774194/)
Article
Boniface, Jacqueline;
Schappacher, Norbert;
(2001)
“Sur le concept de nombre en mathématique”: Cours inédit de Leopold Kronecker à Berlin (1891)
(/isis/citation/CBB000770907/)
Book
Boniface, Jacqueline;
(2002)
Les constructions des nombres réels dans le mouvement d'arithmétisation de l'analyse
(/isis/citation/CBB000771381/)
Article
Hawkins, Thomas;
(2008)
Frobenius and the Symbolical Algebra of Matrices
(/isis/citation/CBB000773887/)
Book
Gispert, Hélène;
(1991)
La France mathématique: La Société mathématique de France (1872-1914). Suivi de cinq études de R. Bkouche, C. Gilain, C. Houzel, J.-P. Kahane et M. Zerner
(/isis/citation/CBB000037203/)
Article
Mignotte, Maurice;
Stefanescu, Doru;
(2001)
La première méthode générale de factorisation des polynômes. Autour d'un mémoire de F. T. Schubert
(/isis/citation/CBB000770902/)
Article
Corry, Leo;
(2010)
Hunting Prime Numbers---From Human to Electronic Computers
(/isis/citation/CBB000933579/)
Article
Nicolas Michel;
(2021)
Mathematical Selves and the Shaping of Mathematical Modernism: Conflicting Epistemic Ideals in the Emergence of Enumerative Geometry (1864–1893)
(/isis/citation/CBB361934147/)
Article
Knorr, Wilbur R.;
(2001)
On Heiberg's Euclid
(/isis/citation/CBB000102554/)
Article
Greaves, G. Neville;
(2013)
Poisson's Ratio over Two Centuries: Challenging Hypotheses
(/isis/citation/CBB001252002/)
Article
Radu, Mircea;
(2003)
A Debate about the Axiomatization of Arithmetic: Otto Hölder against Robert Graßmann
(/isis/citation/CBB000340654/)
Article
Jemma Lorenat;
(2022)
An Okapi Hypothesis: Non-Euclidean Geometry and the Professional Expert in American Mathematics
(/isis/citation/CBB066890396/)
Article
Nabonnand, Philippe;
(2000)
La polémique entre Poincaré et Russell au sujet du statut des axiomes de la géométrie
(/isis/citation/CBB000770897/)
Article
De Berg, Kevin;
(2015)
Foundations of and Challenges to Electrolyte Chemistry
(/isis/citation/CBB001551375/)
Article
Hong, Sungook;
(2000)
Once upon a time in physics when both mathematics and experiment were helpless: A strange life of voltaic contact potential
(/isis/citation/CBB000110290/)
Article
Ivan Netuka;
(2020)
Lebesgue’s criticism of Carl Neumann’s method in potential theory
(/isis/citation/CBB941462998/)
Isis: International Review Devoted to the History of Science and Its Cultural Influences
Archive for History of Exact Sciences
Science in Context
Rutherford Journal: The New Zealand Journal for the History and Philosophy of Science and Technology
Physics in Perspective
Be the first to comment!