Article ID: CBB001551991

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

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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.

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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
http://data.isiscb.org/isis/citation/CBB001551991/

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Authors & Contributors
Mazliak, Laurent
Belna, Jean-Pierre
Grattan-Guinness, Ivor
Dauben, Joseph Warren
Gray, Robert
Hill, Claire Ortiz
Journals
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
Publishers
Princeton University Press
Vrin
Éd. Kimé
Indiana University
Concepts
Number theory; number concept
Mathematics
Logic
Probability and statistics
Set theory
Mathematical analysis
People
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
Places
France
Germany
Central Europe: Germany, Austria, Switzerland
Institutions
Institut Henri Poincaré
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