We certainly haven’t ruled out the possibility that the human brain is capable of some sort of “super Turing” calculations. That would lead me to 2 questions;

1. Can we devise some test to show this? If we expand our definition of “test” to include anything we can measure, directly or indirectly, through our senses?

2. What do we think is the “magic” ingredient that allows humans to engage in “super turing” activities, that a computer doesn’t have? eg Are carbon compounds inherently more suited to intelligence than silicon compounds?