Mathematical Abstraction, Part 4: Category Theory

Deep End Era. Engineering with Sankalp · Oct 10, 2026 · 54m

Part four of Mathematical Abstraction introduces categories as a language of objects and the arrows between them. Functors translate structure, natural transformations compare those translations, and duality reveals how familiar arguments can be read in another direction. Yoneda changes the viewpoint on what an object is. The episode develops these ideas toward richer categorical structures and revisits the engineering questions that motivate the series, keeping abstraction connected to its purpose.

Chapters

00:00:00 Cold open and recap

00:02:12 Categories: dots and arrows

00:04:49 Functors…