I find this interesting - I changed degrees halfway through electrical engineering to computer science (which is still under the engineering school at my univer

I find this interesting - I changed degrees halfway through electrical engineering to computer science (which is still under the engineering school at my university). You're right, EE is much more disciplined, however, computer science/SE still requires an extremely logical thought process, and is applying science/maths to solve real problems. For these reasons, I believe it is engineering (even if somewhat softer than other strands).