- Category Theory
- At the core of category theory is, unsurprisingly, the category. A category is a collection of objects and morphisms, where each object has at least an 'identity morphism'. A morphism is an arrow pointing from one object to another. Objects exist as named points to give the morphisms context. Category theory concerns itself with the composition of morphisms within different categories and the different states that are possible.
- A category with a single object is a monoid
- The identity morphism in a monoidal category corresponds to the unit element
- Graphs can represent a category
- Any graph can be made into a category