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Kronecker on the Foundations of Mathematics

  • Harold M. Edwards
Chapter
Part of the Synthese Library book series (SYLI, volume 251)

Abstract

Today the phrase “foundations of mathematics” has become synonymous with “set theory and mathematical logic.” The most important thing to understand about Kronecker’s views on the foundations of mathematics is that set theory and mathematical logic had no part in them.

Keywords

Irrational Number Personal Attack Philosophical Concept School Mathematics Curriculum Mathematical Sophistry 
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Bibliography

  1. Dauben, J. W.: 1979, Georg Cantor, Harvard University Press, Cambridge, MA.Google Scholar
  2. Edwards, H. M.: 1987, ‘An Appreciation of Kronecker’, Mathematical Intelligencer 9 (1), 28–35.CrossRefGoogle Scholar
  3. Edwards, H. M.: 1995, Linear Algebra, Birkhauser, Boston, MA.Google Scholar
  4. Meschkowski, H.: 1967, Probleme des Unendlichen,Braunschweig Vieweg (contains the 1884 letter of Kronecker to Cantor that is cited).Google Scholar
  5. Poincaré, H.: 1899, ‘L’Oeuvre Mathématique de Weierstrass’, Acta Mathematica 22, 1–18.CrossRefGoogle Scholar
  6. Purkert, W. and H. J. Ilgauds: 1987, Georg Cantor, 1845–1918, Birkhäuser, Stuttgart.Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 1995

Authors and Affiliations

  • Harold M. Edwards
    • 1
  1. 1.New York UniversityUSA

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