... Would that mean they also believe anybody who is unconscious, lacks a soul?
Do some people consider "Consciousness" the soul?
To me its just a culmination of one's lifelong decisions, thoughts, and beliefs. Its like a memory card for a computer. Its not who you are physically but who you are mentally. Its basically the brain as Tyto said above. It's just the brain.
It's something I've wrestled with from time to time. That elusive essence that makes us who we are, that consciousness, is hard to pinpoint. So is the concept of "soul". To me they're just two words to describe the same thing. One has a plain Jane connotation, the other a more poetic, romantic, religious meaning.
Whether or not we believe in a soul, the terms are conveniently interchangeable. And, of course, that opens the door to other fascinating questions. :)
Some do, Some don't.