Joe N: It one thing to say human (symbolic) abilities (and foibles) have not been replicated, and another to say humans do things clearly and fundamentally "non-computable". The latter would be earth shaking.
Kirby: >I don't think it would be (earth shaking)
Let me be clear - you said glibly humans can do "non-computable" things, while refering to Penrose. So, Penrose was talking about abilities in the symbolic realm that were beyond any formal system or turing type computation.
Penrose has made arguments, but hasn't proved anything. Many qualified people are completely unconvinced.
Lets just say that were he to actually prove his contentions, and convince the majority of people who can even follow the arguments, yes that would be earth shaking. Nobody has come close to doing anything like that.
The next question would be: are they (the SuperPenrosePersons) doing quantum computation? But lets go 1 step at a time ;-).