Leopold Kronecker’s conception of the foundations of mathematics

Jacqueline Boniface

Philosophia Scientiae (2005)

  • Volume: 9, Issue: S2, page 143-156
  • ISSN: 1281-2463

Abstract

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Most of the time, Kronecker’s views on the foundations of mathematics are reduced to some scattered ideas. However, they constitute an original and coherent doctrine, justified by epistemological convictions. This doctrine appears in the article On the concept of number, published in the Journal of Crelle (1887) and, especially, in the last course taught by Kronecker, which took place in Berlin during the 1891 summer semester. This article would precise the principles and the insights of the Kroneckerian doctrine and then compare it to the other ones in order to underline its originality; and it would highlight how this doctrine determinated Kronecker’s mathematical work.

How to cite

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Boniface, Jacqueline. "Leopold Kronecker’s conception of the foundations of mathematics." Philosophia Scientiae 9.S2 (2005): 143-156. <http://eudml.org/doc/103765>.

@article{Boniface2005,
abstract = {Most of the time, Kronecker’s views on the foundations of mathematics are reduced to some scattered ideas. However, they constitute an original and coherent doctrine, justified by epistemological convictions. This doctrine appears in the article On the concept of number, published in the Journal of Crelle (1887) and, especially, in the last course taught by Kronecker, which took place in Berlin during the 1891 summer semester. This article would precise the principles and the insights of the Kroneckerian doctrine and then compare it to the other ones in order to underline its originality; and it would highlight how this doctrine determinated Kronecker’s mathematical work.},
author = {Boniface, Jacqueline},
journal = {Philosophia Scientiae},
language = {eng},
number = {S2},
pages = {143-156},
publisher = {Éditions Kimé},
title = {Leopold Kronecker’s conception of the foundations of mathematics},
url = {http://eudml.org/doc/103765},
volume = {9},
year = {2005},
}

TY - JOUR
AU - Boniface, Jacqueline
TI - Leopold Kronecker’s conception of the foundations of mathematics
JO - Philosophia Scientiae
PY - 2005
PB - Éditions Kimé
VL - 9
IS - S2
SP - 143
EP - 156
AB - Most of the time, Kronecker’s views on the foundations of mathematics are reduced to some scattered ideas. However, they constitute an original and coherent doctrine, justified by epistemological convictions. This doctrine appears in the article On the concept of number, published in the Journal of Crelle (1887) and, especially, in the last course taught by Kronecker, which took place in Berlin during the 1891 summer semester. This article would precise the principles and the insights of the Kroneckerian doctrine and then compare it to the other ones in order to underline its originality; and it would highlight how this doctrine determinated Kronecker’s mathematical work.
LA - eng
UR - http://eudml.org/doc/103765
ER -

References

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