Actually this is one thing that has always confused me about “software engineers,” at least as someone with an engineering education who isn’t doing engineering work really: we learned how to do particular types of problems very well and reliably, and generally learned a bunch of math tricks. But at a fundamental level the material that the physics students were learning was basically more complicated. Scientist has always felt like a more prestigious title to me. Since most programmers have computer science degrees, why don’t we call ourselves computer scientists?

Because they aren’t doing scientific research, they are applying the products of such research to design (and build; with software the distinction is less significant than with many physical items) products, so its somewhere between architecture/engineering and constructiom, rather than science.

Of course, you can do too much abstraction.