Categories without structures
History and Overview
2010-02-20 v2 Category Theory
Abstract
The popular view according to which Category theory provides a support for Mathematical Structuralism is erroneous. Category-theoretic foundations of mathematics require a different philosophy of mathematics. While structural mathematics studies invariant forms (Awodey) categorical mathematics studies covariant transformations which, generally, don t have any invariants. In this paper I develop a non-structuralist interpretation of categorical mathematics and show its consequences for history of mathematics and mathematics education.
Keywords
Cite
@article{arxiv.0907.5143,
title = {Categories without structures},
author = {Andrei Rodin},
journal= {arXiv preprint arXiv:0907.5143},
year = {2010}
}
Comments
28 pages