I remember at school someone once raising the problem of what would happen when an irresistible force meets an immoveable object. It's a bit like that with my present subject. For any possibility of an afterlife for human beings has long seemed to me out of the question because of the obvious complete dependence of our minds and consciousness on the brain, and because our minds, like our brains, must be a product of evolution. So how could a mind or its consciousness possibly exist independently? But I've recently learnt of apparently undeniable evidence for the possible existence of disembodied minds or spirits. I'll give some account of one particular case – a staggering one, as far as I'm concerned. But suppose – just suppose – such do exist. All sorts of new problems then rear up. I'll give some examples of these too. So in the end I'm left baffled.