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| | Functional programming has a bit of jargon, but that doesn't have to stop you from understanding core concepts
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| | Introduction to monoids for object-oriented programmers.
| | www.jeremykun.com
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| Previously in this series we've seen the definition of a category and a bunch of examples, basic properties of morphisms, and a first look at how to represent categories as types in ML. In this post we'll expand these ideas and introduce the notion of a universal property. We'll see examples from mathematics and write some programs which simultaneously prove certain objects have universal properties and construct the morphisms involved.