Moreno excuse me for side stepping that issue for a moment, and try to explain soul to the OP.
If we are totally cynical about any concept, or unable to make any believable propositions about any construct mankind has developed, there are still so many unanswered questions remaining even to the most skeptical truth seeker.
My proposition of trying to prove whether something such as the soul exists or not, is not seeking answers to what the soul might be, but rather, how did it come to be that men sought to elevate the soul into the realm of the heavenly.
That men developed ethics which raised ideas such as goodness, wisdom, beauty, love, can be interpreted as much a product of evolution, as the physical descriptions of evolved organisms. Cultural artifacts corresponding to various human development stages underline the ideas behind the ideals which those artifacts represented, and became representative of.
Most groups of people have developed systems of thought and belief , sometimes having cross cultural influence, sometimes developing autonomous systems on their own. These beliefs seem to have intrinsically developed for thousands of years.
One of the things that skeptics point out, right off the bat, is that all belief systems are of a defensive posture, they came about as developmental props to defend mankind against elements, and to seek protection from what they perceived to be higher powers.
Faith is a basic element in man, faith is akin to trust, albeit it’s more diverse, it is a trust about the very being of men. Trust comes up from evolution as an early sign of the herding instinct, it is an essential ingredient for the social survival of species.
Human beings have the same urge to unite with fellow humans for the purpose of elevating their sense of security and belonging within their social group.
This social integration was followed by differentiation, the rise of the individual patterned after ideal models such as leaders, priests, shamans, warrior-heroes,and the like.
Where does the soul come into this schematic description? As, the individual becomes aware of his individuality, and his relationship qualities to his group,he becomes aware through the process of observing what the desirable qualities are, which are keys to the sustenance into membership into that group. The idea of qualification becomes a concept where these qualification move further away from the actual to the more abstract definitional value, due to factors of increasing migration, emergence of inter tribal conflict and resulting alienation and casualty, and other things.
The qualititative ideal becomes abstract, but still nominally aware, of it's connection to the original.
As the model of these virtues moves still further away, the idea becomes ethereal, and prone to be disassociated from real experience, they may not even be close to what real examples of these virtues they may have originated from.
The next step is to find a mythology, where these virtues "really exist", and projection into higher symbols manifest, and the Gods are born.
The god's have something we can also participate in, if we could just be like them sharing their virtues, and men begin to project the anthropomorphism which develops.
Alternatively, the gods are attracted to these qualities for the same reason, and a reciprocity develops between men and gods. They begin to share some thing, the soul, which contains all these qualities.
Now the idea is, not whether the soul exists or not, since it has become a pure concept, it cannot exist in the way existence is understood, so it becomes the Being(s) which contain these essential or shared qualities.
The development of such a concept begs it's own essential nature, why? : because it represents an advanced stage of utility for men, a need to utilize their energies to the best of their betterment, so as to evolve their sense of trust. Trust is not a classical idea, it came later with the development of the social contract. The soul of man, at this level is a social contract, whereby men can feel more secure, and it becomes the spirit within which the ideas of the enlightenment were formed.
The point is,soul even if seen in terms of psycho-social determinants is still something, something very powerful, and uses religious theme to buttress it's assumptions. This is why the church/state separation was not until, the state found itself sufficiently embedded in it's institutions.
Soul is a device, a real utilitarian entity,that's a necessary tool for eliciting trust, brotherhood and love. iI's spiritual counterpart, which if we were to focus on the material/social determinants become equally viable as a higher yet concept, the love of God could be seen as the highest anthropomorphic projection there is. Science can never become this, the soul, because, although we can share in the utility that's comes with using the inventions of science, it can never be admitted that science invented nature, or brought it about or anything like that. It is Nature, even in it's widest sense, that brought about the possibility for understanding anything. This understanding necessarily implies a concept such as the soul, because it's necessity is shown by the fact, that it has developed alongside man, as a creature. Without your soul, and mankind's, and God's , the Logos, the highest soul, we would loose it the necessary human bodage to survive.
As we have been shown to have been cast out.
Critics will point to the abhorrance associated with the innumerable horrors as an example of the absence of God.
But god is always there, hidden sometimes,but always bursting forth as hope eternal, in eternal grace.