One definition of a soul is our consciousness. May this lives on after we die, or not. This is the definition used frequently in SciFi, see for example Altered Carbon. @Patrick, do you not agree we have a consciousness?
And I agree, there is no science that supports it lives beyond our body. Even some Chrisitians believe that, thinking that human minds can’t exist independent of a body! I never said everyone believes in an immortal soul, just that everyone affirms a soul of some sort or another.