Article ID: CBB001551991

Au-delà des réels: Émile Borel et l'approche probabiliste de la réalité (2014)


Mazliak, Laurent (Author)
Sage, Marc (Author)

Revue d'Histoire des Sciences
Volume: 67, no. 2
Issue: 2
Pages: 331-357

Publication Date: 2014
Edition Details: Part of a Series: De la logique philosophique à la logique mathématique
Language: French

The aim of this article is to examine how Émile Borel, on the basis of his research concerning the structure of real numbers and his rejection of the abstract views of Georg Cantor, discovered in probability calculus an appropriate tool for formulating a new approach to the issues at hand. At the same time he became aware of the usefulness of probability calculus with regard to the questions raised by physics and society.

Included in

Article Bourdeau, Michel; Brenner, Anastasios (2014) Introduction: De la logique philosophique à la logique mathématique. Revue d'Histoire des Sciences (pp. 175-183). unapi

Citation URI

Similar Citations

Article Mazliak, Laurent; (2010)
Borel, Fréchet, Darmois: La découverte des statistiques par les probabilistes français (/isis/citation/CBB001024451/) unapi

Article Catellier, Rémi; Mazliak, Laurent; (2012)
The Emergence of French Probabilistic Statistics. Borel and the Institut Henri Poincaré around the 1920s (/isis/citation/CBB001211451/) unapi

Article Durand, Antonin; Mazliak, Laurent; (2011)
Revisiting the Sources of Borel's Interest in Probability: Continued Fractions, Social Involvement, Volterra's Prolusione (/isis/citation/CBB001230538/) unapi

Article Belna, Jean-Pierre; (1997)
Les nombres réels: Frege critique de Cantor et de Dedekind (/isis/citation/CBB000072831/) unapi

Book Belna, Jean-Pierre; (1996)
La notion de nombre chez Dedekind, Cantor, Frege: Théories, conceptions et philosophie (/isis/citation/CBB000074591/) unapi

Article Gray, Robert; (1994)
Georg Cantor and transcendental numbers (/isis/citation/CBB000032495/) unapi

Book Décaillot, Anne-Marie; (2008)
Cantor et la France: correspondance du mathématicien allemand avec les français à la fin du XIXe siècle (/isis/citation/CBB001420742/) unapi

Article Hill, Claire Ortiz; (1994)
Frege's attack on Husserl and Cantor (/isis/citation/CBB000043998/) unapi

Article Dauben, Joseph W.; (1971 (pub. 1974))
Georg Cantor's philosophy of mathematics: The irrational and transfinite numbers (/isis/citation/CBB000011596/) unapi

Thesis Keele, Lisa; (2008)
Theories of Continuity and Infinitesimals: Four Philosophers of the Nineteenth Century (/isis/citation/CBB001560801/) unapi

Article Moore, Gregory H.; (2008)
The Emergence of Open Sets, Closed Sets, and Limit Points in Analysis and Topology (/isis/citation/CBB000950203/) unapi

Article Błaszczyk, Piotr; Katz, Mikhail G.; Sherry, David; (2013)
Ten Misconceptions from the History of Analysis and Their Debunking (/isis/citation/CBB001252715/) unapi

Article Bru, Bernard; Bru, Marie France; Chung, Kai Lai; (2009)
Borel and the St. Petersburg Martingale (/isis/citation/CBB001021417/) unapi

Article Márcia R. Cerioli; Hugo Nobrega; Guilherme Silveira; Petrucio Viana; (2022)
On the (In)Dependence of the Peano Axioms for Natural Numbers (/isis/citation/CBB173126247/) unapi

Article Mark Textor; (2021)
Saying Something about a Concept: Frege on Statements of Number (/isis/citation/CBB227044624/) unapi

Article Schirn, Matthias; (2013)
Frege's Approach to the Foundations of Analysis (1874--1903) (/isis/citation/CBB001212887/) unapi

Article Christine Proust; (2022)
The sexagesimal place-value notation and abstract numbers in mathematical cuneiform texts (/isis/citation/CBB388966363/) unapi

Authors & Contributors
Mazliak, Laurent
Belna, Jean-Pierre
Grattan-Guinness, Ivor
Dauben, Joseph Warren
Gray, Robert
Hill, Claire Ortiz
History and Philosophy of Logic
Historia Mathematica
Journal Electronique d'Histoire des Probabilités et de la Statistique
Actes du ... Congrès International d'Histoire des Sciences
American Mathematical Monthly
Monist: An International Quarterly Journal of General Philosophical Inquiry
Princeton University Press
Éd. Kimé
Indiana University
Number theory; number concept
Probability and statistics
Set theory
Mathematical analysis
Cantor, Georg Ferdinand Ludwig
Frege, Gottlob
Dedekind, Richard
Borel, Felix Édouard Émile
Weierstrass, Karl Theodor
Russell, Bertrand Arthur William
Time Periods
19th century
20th century, early
20th century
Central Europe: Germany, Austria, Switzerland
Institut Henri Poincaré

Be the first to comment!

{{ comment.created_by.username }} on {{ comment.created_on | date:'medium' }}

Log in or register to comment