Functors Memes

The pure joy of discovering you can skip pages of tedious calculations by using the Yoneda lemma! 🧠✨ Top panel: Sweating through explicit constructions with all those tensor products, morphisms, and fancy Greek letters. It's like doing taxes but with more symbols! Bottom panel: The enlightened mathematician who realizes universal properties and the Yoneda perspective let you zoom out to see the forest instead of calculating each tree's height with a protractor. Suddenly you're playing 4D chess while everyone else is counting pebbles! For the uninitiated, the Yoneda lemma is basically category theory's cheat code - it lets mathematicians replace complicated objects with the collection of all ways to interact with them. It's like judging someone not by who they are, but by their relationships with everyone else. Sneaky but brilliant!

When mathematicians discover category theory, they enter a point of no return. The meme perfectly captures that cultish fervor where category theorists place their hands on your shoulder and insist with intense eye contact that "functors" and "natural transformations" are totally normal things to obsess over. Meanwhile, they're drawing mysterious diagrams that "commute" and speaking in tongues about "morphisms" and "adjunctions." The irony? They genuinely believe they're making math more accessible while literally creating their own mathematical religion. Next thing you know, you're also drawing arrows between arrows and explaining to confused family members why everything is just a special case of a monad.