Article ID: CBB000770897

La polémique entre Poincaré et Russell au sujet du statut des axiomes de la géométrie (2000)

unapi

Before their well-known dispute over logistics, Poincaré and Russell polemized over the status of the axioms of geometry. At the close of the 19th century, philosophical discussions about geometry and space theory strongly influenced both the idea and the development of geometry. This paper stresses how Poincaré and Russell used mathematics to support their philosophical arguments, and shows, conversely, how their respective philosophical stances influenced their thoughts about geometry.

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Description “This paper stresses how Poincaré and Russell used mathematics to support their philosophical arguments, and shows, conversely, how their respective philosophical stances influenced their thoughts about geometry.” (from the abstract)


Citation URI
https://data.isiscb.org/isis/citation/CBB000770897/

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Authors & Contributors
Zahar, Elie G.
Duarte, German A.
Vaccaro, Maria Alessandra
Woodward, Ben
Longo, Anna
Giannini, Giulia
Journals
Azimuth
Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics
Revue d'Histoire des Sciences
Studies in History and Philosophy of Science
Science in Context
Revue d'Histoire des Mathématiques
Publishers
Ossolineum
Open Court
Guaraldi
E.N.S.
Carocci Editore
University of Pittsburgh
Concepts
Mathematics
Geometry
Philosophy
Physics
Logic
Controversies and disputes
People
Poincaré, Jules Henri
Gauss, Carl Friedrich
Klein, Felix
Duhem, Pierre
Nikolai Ivanovich Lobachevsky
Bolyai, Janos (Johann) von
Time Periods
19th century
20th century, early
20th century
Places
Italy
France
Europe
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