Article ID: CBB000770907

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

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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.

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


Citation URI
http://data.isiscb.org/isis/citation/CBB000770907/

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Authors & Contributors
Brechenmacher, Frédéric
Edwards, Harold M.
Purkert, Walter
Neumann, Olaf
Gauthier, Yvon
Schleiden, Matthias Jacob
Journals
Archive for History of Exact Sciences
Revue d'Histoire des Mathématiques
British Society for the History of Mathematics Bulletin
Bollettino di Storia delle Scienze Matematiche
Studies in History and Philosophy of Science
Historia Mathematica
Publishers
Kluwer Academic
Franz Steiner Verlag
Ellipses
American Mathematical Society
Crítica
Librarie Philosophique J. Vrin
Concepts
Mathematics
Number theory; number concept
Lectures
Philosophy of mathematics
Collected correspondence
Arithmetic
People
Kronecker, Leopold
Dedekind, Richard
Hilbert, David
Jordan, Camille
Gauss, Carl Friedrich
Weierstrass, Karl Theodor
Time Periods
19th century
20th century, early
18th century
17th century
20th century
Places
Cracow (Poland)
Institutions
University of Chicago
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