Geodesic
Upsetting the foundations for mathematics
Philosophia Scientiae, Aperçus philosophiques en logique et en mathématiques, Tome 9 (2005) no. 2, pp. 5-21 
Neff Stout, Lawrence. Upsetting the foundations for mathematics. Philosophia Scientiae, Aperçus philosophiques en logique et en mathématiques, Tome 9 (2005) no. 2, pp. 5-21. http://geodesic.mathdoc.fr/item/PHSC_2005__9_2_5_0/
@article{PHSC_2005__9_2_5_0,
     author = {Neff Stout, Lawrence},
     title = {Upsetting the foundations for mathematics},
     journal = {Philosophia Scientiae},
     pages = {5--21},
     year = {2005},
     publisher = {\'Editions Kim\'e},
     volume = {9},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PHSC_2005__9_2_5_0/}
}
TY  - JOUR
AU  - Neff Stout, Lawrence
TI  - Upsetting the foundations for mathematics
JO  - Philosophia Scientiae
PY  - 2005
SP  - 5
EP  - 21
VL  - 9
IS  - 2
PB  - Éditions Kimé
UR  - http://geodesic.mathdoc.fr/item/PHSC_2005__9_2_5_0/
LA  - en
ID  - PHSC_2005__9_2_5_0
ER  - 
%0 Journal Article
%A Neff Stout, Lawrence
%T Upsetting the foundations for mathematics
%J Philosophia Scientiae
%D 2005
%P 5-21
%V 9
%N 2
%I Éditions Kimé
%U http://geodesic.mathdoc.fr/item/PHSC_2005__9_2_5_0/
%G en
%F PHSC_2005__9_2_5_0

Voir la notice de l'article provenant de la source Numdam

Starting with a review of the kinds of questions a foundation for mathematics should address, this paper provides a critique of set theoretical foundations, a proposal that multiple interconnected categorical foundations would be an improvement, and a way of recovering set theory within a categorical approach.