* preprint: Categories without structures
@ 2009-07-30 8:56 Andre.Rodin
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From: Andre.Rodin @ 2009-07-30 8:56 UTC (permalink / raw)
To: categories
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/ ]
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