Category Theory

Category Theory is a subfield of Mathematicspure mathematics studying mathematical structuresany structure that contains objects and their conservation through various transformation.relations (referred to as morphisms). It emerged in the study of algebraic topology,topology, then went on to apply beyond mathematics and into various scientific disciplines, a metamathematical framework comparable to most partsthat of mathematics.type theory and set theory. The notion of compositionality is what differs category theory from graph theory, in which the nodes themselves can be categories.

Despite some workCurrent research on applied category theory, it's usefulness and Categories for problem solving (especially inAI are useful and relevant for topics close to LW, such as Rationality and, AI Safety) is still controversial. One possible explanation is that, and Game theory. Due to its abstract nature, category theory usually comes afteris jokingly criticized as being "abstract nonsense". A major theorem result is Yoneda embedding, which is basically the results, to structure them and find the links with previous results in other fields.idea that an object can be defined by its all of its relations.