I think I just about understand what it is by now, but not well enough to be able to explain it snappily.
It's a little like abstract algebra, except more abstract and less algebraic.
It's a formalism used for making precise analogies between superficially unrelated mathematical theories.
Joseph Goguen has a nice paper A Categorical Manifesto [ucsd.edu], which explains clearly and convincingly why category theory is useful in computer science.
Category Theory (Score:2)
Re:Category Theory (Score:1)
It's a little like abstract algebra, except more abstract and less algebraic. It's a formalism used for making precise analogies between superficially unrelated mathematical theories.
Joseph Goguen has a nice paper A Categorical Manifesto [ucsd.edu], which explains clearly and convincingly why category theory is useful in computer science.
John Baez says (in this [ucr.edu] web page):
And now... (Score:2)