Article ID: CBB001551991

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

unapi

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.

...More
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
https://data.isiscb.org/isis/citation/CBB001551991/

Similar Citations

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

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

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

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

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

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

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

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

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

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

Article Mespoulet, Martine; (2002)
From Typical Areas to Random Sampling: Sampling Methods in Russia from 1875 to 1930 (/isis/citation/CBB000430017/)

Article David Sullivan; (2016)
Frege's ‘On the Concept of Number’ (1891) – an Unnoticed Publication (/isis/citation/CBB330707483/)

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

Authors & Contributors
Mazliak, Laurent
Grattan-Guinness, Ivor
Belna, Jean-Pierre
Sullivan, David
Spalt, Detlef D.
Sherry, David M.
Concepts
Mathematics
Number theory; number concept
Probability and statistics
Set theory
Infinitesimals
Mathematical analysis
Time Periods
19th century
20th century, early
20th century
Places
France
Germany
Russia
Soviet Union
Great Britain
Institutions
Institut Henri Poincaré (France)
Comments

Be the first to comment!

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

Log in or register to comment