Wendy

So you're proposing we define the soul in a non-supernatural (ie non-dualistic) way?

As something like, the sense of self, memories and personality of an individual ?

We already have a science of that / those.

I believe Teilhard described it correctly, the soul is an existential reality. Science deals with objects that the senses can perceive but the soul from the vedic perspective says it is a nonmaterial infinitesimal particle of concentrated consciousness. It is a pure reality consisting of being, being has no duality of inner or outer perception. Our perception of inner and outer self is due to the soul accepting the body as a self. This is a perception arising from us being conditioned by our embodiment.