Alas, to wear the mantle of Galileo it is not enough that you be persecuted by an unkind establishment, you must also be right.
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Nice post. I think the concept of functor originated in mathematics and it would be appropriate for this article to make mention of it. Functors in math: http://en.wikipedia.org/wiki/Functor
The Haskell approach pretty much is the mathematical approach. And the nice thing about Haskell is that while it's extremely faithful to the pure math, but it's also a very powerful programming language, easily as powerful as C++.
I'd recommend the classic intro to Haskell to start with, or Real World Haskell if you prefer something more practical. Once you've got a few working programs under your belt, here's a pretty readable intro to category theory.
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