Dear all, I would like to announce this recent preprint of mine: http://arxiv.org/abs/0907.5143 Title: Categories without structures Abstract: The popular view according to which Category theory provides a = support for Mathematical Structuralism is erroneous. Category-theoretic foundatio= ns of mathematics require a different philosophy of mathematics. While structur= al mathematics studies "invariant forms" (Awodey) categorical mathematics st= udies covariant transformations which, generally, don't have any invariants. In= this paper I develop a non-structuralist interpretation of categorical mathema= tics and show its consequences for history of mathematics and mathematics educ= ation. Andrei [For admin and other information see: http://www.mta.ca/~cat-dist/ ]
participants (1)
-
Andre.Rodin@ens.fr