Article ID: CBB000040186

La teoría de las proporciones de Eudoxio interpretada por Dedekind (1994)

unapi

Description “The present article presents and discusses the arguments for and against the well-known historical thesis, according to which Eudoxus' theory of proportions fully anticipated modern theories of the irrational numbers, such as Dedekind's or Weierstrass'. Special stress is laid upon Dedekind's theory of cuts, and upon Dedekind's own interpretation of the putative connection between his theory and Eudoxus'. This interpretation throws new light upon interesting aspects of the historiographical dispute concerning Eudoxus and Dedekind, and of nineteenth century mathematics as well.” From the English abstract.


Citation URI
https://data.isiscb.org/isis/citation/CBB000040186/

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Authors & Contributors
Haffner, Emmylou
Gardies, Jean-Louis
Edwards, Harold M.
Belna, Jean-Pierre
Mechthild Koreuber
Weber, Heinrich
Journals
Revue d'Histoire des Sciences
Synthese
Historia Mathematica
Revue Philosophique de la France et de l' Étranger
History and Philosophy of Logic
Dialectica: International Review of Philosophy of Knowledge
Publishers
Librarie Philosophique J. Vrin
Vrin
Van Gorcum
de Gruyter
Concepts
Number theory; number concept
Mathematics
Algebra
Philosophy of mathematics
Logic
Arithmetic
People
Dedekind, Richard
Frege, Gottlob
Eudoxus of Cnidos
Weber, Heinrich
Cantor, Georg Ferdinand Ludwig
Peano, Giuseppe
Time Periods
19th century
20th century, early
20th century
Places
Germany
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