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Kronecker on the Foundations of Mathematics

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Book cover From Dedekind to Gödel

Part of the book series: Synthese Library ((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.

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Bibliography

  • Dauben, J. W.: 1979, Georg Cantor, Harvard University Press, Cambridge, MA.

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  • Edwards, H. M.: 1987, ‘An Appreciation of Kronecker’, Mathematical Intelligencer 9 (1), 28–35.

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  • Edwards, H. M.: 1995, Linear Algebra, Birkhauser, Boston, MA.

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  • Meschkowski, H.: 1967, Probleme des Unendlichen,Braunschweig Vieweg (contains the 1884 letter of Kronecker to Cantor that is cited).

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  • Poincaré, H.: 1899, ‘L’Oeuvre Mathématique de Weierstrass’, Acta Mathematica 22, 1–18.

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  • Purkert, W. and H. J. Ilgauds: 1987, Georg Cantor, 1845–1918, Birkhäuser, Stuttgart.

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© 1995 Springer Science+Business Media Dordrecht

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Edwards, H.M. (1995). Kronecker on the Foundations of Mathematics. In: Hintikka, J. (eds) From Dedekind to Gödel. Synthese Library, vol 251. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8478-4_3

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  • DOI: https://doi.org/10.1007/978-94-015-8478-4_3

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4554-6

  • Online ISBN: 978-94-015-8478-4

  • eBook Packages: Springer Book Archive

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