Article ID: CBB000770907

“Sur le concept de nombre en mathématique”: Cours inédit de Leopold Kronecker à Berlin (1891) (2001)


The text published here is the last lecture course, on the notion of number in mathematics, taught by the Berlin mathematician Leopold Kronecker (1823-1891). These lectures, published here for the first time, give interesting insights into Kronecker's philosophy of mathematics and in particular into his concept of number. They clarify Kronecker's position within the movement of `arithmetization' and allow, in particular, for a better understanding of why and how Kronecker opposed the dominant viewpoint within this movement (held by Weierstrass, Cantor, Dedekind, and others). Kronecker introduced whole numbers mathematically, and proposed to integrate all of algebra and analysis into arithmetic. Today certain positions held by Kronecker may be seen as anticipating constructivist or intuitionist principles of the twentieth century.


Description This is the publication of Kronecker's last lecture course.

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Authors & Contributors
Brechenmacher, Frédéric
Vergnerie, Cédric
D'Isanto, Paolo
Viertel, Klaus
Jenne Praeger O'Brien
Ciesielska, Danuta
Archive for History of Exact Sciences
British Society for the History of Mathematics Bulletin
Studia Historiae Scientiarum
Studies in History and Philosophy of Science
Revue d'Histoire des Mathématiques
Historia Mathematica
Librarie Philosophique J. Vrin
Kluwer Academic
Franz Steiner Verlag
Number theory; number concept
Collected correspondence
Philosophy of mathematics
Kronecker, Leopold
Dedekind, Richard
Weierstrass, Karl Theodor
Riemann, Georg Friedrich Bernhard
Jordan, Camille
Hilbert, David
Time Periods
19th century
20th century, early
18th century
20th century
Cracow (Poland)
Göttingen. Universität
University of Chicago

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