Category Theory for the Java Programmer

From the post:

There are several good introductions to category theory, each written for a different audience. However, I have never seen one aimed at someone trained as a programmer rather than as a computer scientist or as a mathematician. There are programming languages that have been designed with category theory in mind, such as Haskell, OCaml, and others; however, they are not typically taught in undergraduate programming courses. Java, on the other hand, is often used as an introductory language; while it was not designed with category theory in mind, there is a lot of category theory that passes over directly.

I’ll start with a sentence that says exactly what the relation is of category theory to Java programming; however, it’s loaded with category theory jargon, so I’ll need to explain each part.

A collection of Java interfaces is the free

^{3}cartesian^{4}category^{2}with equalizers^{5}on the interface^{6}objects^{1}and the built-in^{7}objects.

Interested?