In your body lies a priceless gem. If you want to find the greatest treasure, don't look outside, look inside and seek that. In the modern world, when people talk about the inner life, they mean a life somewhere inside their body and especially inside their brain. Then there's the outer life which is the whole of the external realm. We've internalized this shrunken soul, and think that the inner means something inside our brains, and the outer is something out there.
Science is based on trying to do everything with the outer experience of things.
The objective method is supposed to remove all psychic interests of the scientists from what they're doing. In fact, most scientists are heavily engaged in what they're doing if only for reasons of personal ambition. The idea that they're totally objective, like disembodied minds, is a pretence. This idea of the inner involvement being not just inside but outside us is the key to breaking down the Cartesian division. What you call the shrunken soul I call the contracted mind, the idea that the mind is contracted into the brain, as opposed to the older view which saw our souls as extended all around us.