Epstein Secrets

se are the thoughts we would most like to study. It might be that computers are not yet powerful enough, and in another few years they will be giving Mozart a run for his money. But there may also be a fundamental difference which renders them incapable of this sort of thinking. This is the crux of the mo

t we take for a Universe really nothing more complex than putting a DVD in the slot and hitting play? One last piece of trivia links Hofstadter with Penrose: Roger Penrose and his father invented the Penrose Steps, inspiring the never- ending staircase in the Escher prints featured in Hofstadter’s book. F

ture, every galaxy could be the output of this single, simple program. My pocket calculator could, theoretically, paint like Picasso and compose like Mozart. All art, knowledge and science would be entirely determined in our Universe and we would have no free will. If you philosophically rebel against thi

e was certainly extending our mathematical knowledge, but this does not imply he was extending the capability of his brain. The critics of Lucas and Penrose have one big problem to deal with. The formal system in our head would need to be able to see the truth in everything we could ever encounter. But, o

the web. Some people appear to have creativity in abundance and the things they create are truly wonderful. I’m thinking here of Picasso, Einstein, Mozart, Edison, or Maxwell, but a precise definition of creative thinking is hard to pin down. Here are some generally accepted categories: Divergent Think

ion removes the requirement for many worlds and, indeed, our curious position as the conscious beings that bring the world into existence. Of course, Penrose does not stop there. He proposes the quantum gravity interaction gives rise to conscious thought and this process is the root of mathematical intuiti