In the book Shadow of the mind, Penrose argues that Human consciousness is strictly non computational based on some logic arguments. I have talked to some peers related to logic, and they seem to have dismissed Penrose on being a crank here, but, where unable to provide evidence for what exactly in the book is crankery. There is also a related post on the site here about this.
My question is, has there been any study on the ideas in the book which validates or invalidates it? How are it's views considered today?