>>11453873Definitely not in geometry/topology. I've seen many many proofs where you need strong visual thinking skills to understand them, let alone discover them.
In algebra, perhaps. Although there are also many visual ways to think about algebra, because commutative diagrams and many constructions represent relationships which can be thought of in a visual way.
I have a question for anons here who know a bit of elementary algebra: If you were to close your eyes right now and prove the 5-lemma in your mind, how would you do it? Does the diagram present itself visually in your head and are you visually shuffling around the elements? That's how I imagine it myself.
