A CS vision professor once told me "Of course we know there is an efficient algorithm for that humans can do it." Are we just nothing more than Turing machines running simple algorithms using machine learning techniques that have been hard wired into our brains through evolution. How sad.
But it's not true. I think therefore I am. I have self-awareness. A Turing machine can't be self-aware. There are people who try to formalize self-awareness and then show those formulations can be realized on Turing machines. But these don't match my intuitive notion of self-awareness so self-awareness cannot be formalized. There is something beyond computation that allows me to be self-aware, something called the soul.
I suspect you readers all have souls too but I can't prove it.
Does the soul violate the Church-Turing thesis? Does it allow us to compute things beyond that of a Turing machine? Does it allow us to compute problems much faster than a soulless computer could every do?
I think not. The soul is just another input to the Turing machine we call our brain. How the information gets from the soul to the brain is a process we may never fully understanding because reasoning about the soul requires the very soul we are trying to reason about.