Origins of the Program of “Arithmetization of Mathematics”

Bibliographic Data

ID23213802
AuthorsHans Niels Jahnke, Michael Otte (0000-0001-9248-1312)
Year1981
Pages21-49
Publication date1981-01-01
Peer ReviewedYes
Open AccessNo
TypeCHAPTER
VenueSocial History of Nineteenth Century Mathematics (SOURCE_BOOK)
PublisherBirkhäuser Boston (PUBLISHER)
DOI10.1007/978-1-4684-9491-4_3
OpenAlexW225997199
ISBN9781468494914
LanguageEN
Citations received1
References cited8

Curiously enough, mathematics and its historiography are rather acutely conscious of the fact that the turn from the 18th to the 19th century marks a decisive turning point full of consequences in the development of science. Contem¬poraries in the 18th century believed that mathematics had come to an end of its growth. "A great upheaval in the sciences is imminent. In view of the present aspiration of the great minds, I should almost like to claim that there will not be three great mathematicians in Europe within a century. This science will suddenly remain fixed to the spot where the Bernoullis, Euler, Maupertius, Clairaut, Fontaine, d'Alembert, and Lagrange have left it." (Diderot 1754, p. 31). Similar statements have come down to us from Lagrange.KeywordsFunction ConceptEarly 19th CenturyRelational ThinkingObject FieldExplorative FunctionThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Aesthetics · Geometry · Historiography · Mathematics education · Period (music) · Point (geometry) · Turning point · Classics · Historical and Literary Studies · Historical Philosophy and Science · History · History and Theory of Mathematics · Mathematics · Philosophy

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