What's the difference between the programmer and software engineer

Answer 1

I think Software Engineer is a higher position. Like a project manager and programmer at the same time who has programmers working for him.

Answer 2

Just remove the software from software engineer and compare, engineer to programmer. Computer Science students can be software engineers too, but I'm saying that they are engineering something, and not just programming.

Like Web Programmer vs Engineering Kubernetes or
Web Programmer vs Database Developer,
Gameplay Programming vs Engineering Game Engine