Categories without structures

Details Categories without structures Categories without structures

2009-07-29

arxiv.org/abs/0907.5143v2

Mathematics

History and Overview

28 pages

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Categories without structures does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Categories without structures, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Categories without structures will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-521741