Roger Penrose, one of the world's top physicists, summarizes modern science, examining topics including Turing machines, relativity, quantum physics, black holes, etc. At the end, he argues that the human mind can not be simulated by computers or anything algorithmic. The Emperor's New Mind is my favorite book, although I didn't feel that way the first time I read it. It is quite technical, compared to, for instance, A Brief History of Time, which covers some of the same topics. The second time I read the book, I really dedicated a lot of time to understand the material as well as I could, often working out problems with paper and pencil. This was necessary for me to see that his conclusion was related to the rest of the book. While Penrose obviously can not "prove" his belief, he gives a strong, fascinating arguement, and the book has definitely affected my philosophical views concerning consciousness.