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.
@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 = {https://www.numdam.org/item/PHSC_2005__9_2_5_0/}
}
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. https://www.numdam.org/item/PHSC_2005__9_2_5_0/
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