Category theory notes 5: Arrows and diagrams
Arrows are so vital to category theory that Awodey jokingly refers to the theory as “archery” (Category Theory, p. 2). Given two objects in a category, an ar...
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Category theory notes 4: Monoid
Monoid is one of those concepts that are extremely simple, extremely useful, and can at the same time be extremely confusing. It was one of the first concept...
Category theory notes 3: Categorial or categorical?
Category in category theory is a noun, but we often need to use the term in other parts of speech (notably adjective and verb). Try the following quiz for ex...
Category theory notes 2: What’s a category?
The term category is anything but unfamiliar to linguisticians. Human language is all about categories. For example, speech sounds are grouped into various n...
Category theory notes 1: A linguistician’s babble
So I ended up using category theory in my linguistics dissertation. How this happened is a long story. Basically I stumbled into a promising-looking toolkit ...