Article ID: CBB000930660

La valeur de la connaissance approchée. L'épistémologie de l'approximation d'Émile Borel (2008)

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The value of approximate knowledge. Émile Borel's philosophy of approximation The philosophy of approximation is rapidly developing as an area within the philosophy of science and mathematics, owing to the reflections on the growing use of computers in physics. At the beginning of the 20th century, Borel, Duhem, and Poincaré had already explored most of issues under discussion today in their works on the applicability of mathematics to physics. Borel, above all, strove to display the value and range of scientific knowledge. He gave striking examples of approximate knowledge and drew important conclusions from them about the nature of physics and mathematics. This paper presents Borel's theses and their implications. Keywords : Epistemology, applicability of mathematics, approximation, Émile Borel

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Description On the examples of approximate knowledge given by Borel and the conclusions he drew from them about the nature of physics and mathematics.


Citation URI
http://data.isiscb.org/isis/citation/CBB000930660/

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Authors & Contributors
Ivanova, Milena
Murger-Schächter, Mioara
Merwe, Alvyn ven der
Stoffel, Jean-François
Provost, Jean-Pierre
Bracco, Christian
Journals
Studies in History and Philosophy of Science
Archive for History of Exact Sciences
Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics
Transversal: International Journal for the Historiography of Science
Azimuth
Science in Context
Publishers
Aracne
Kluwer Academic
American Mathematical Society
Princeton University Press
de Gruyter
Springer Science + Business Media
Concepts
Physics
Philosophy
Epistemology
Mathematics
Biographies
Philosophy of science
People
Poincaré, Jules Henri
Duhem, Pierre
Mach, Ernst
Le Roy, Edouard
Lorentz, Hendrik Antoon
Boltzmann, Ludwig
Time Periods
19th century
20th century, early
20th century
18th century
Places
France
Europe
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