A soul is something amorphous that floats between everyone, or you could say that this is what we are floating in. There is a single soul for everyone.
In spirituality, if I want to bestow to someone, to the Creator or to another person, I am called male (a man) and if I want to receive, then I am called a female (woman). Sometimes I am a male and sometimes I am a female. In our world, we are precisely divided into men and women; whereas in spirituality, everything depends only on us.
From the Kabbalah Lesson in Russian 12/4/16