For decades, proponents of artificial intelligence have argued that computers will soon be doing everything that a human mind can do. Admittedly, computers now play chess at the grandmaster level, but do they understand the game as we do? Can a computer eventually do everything a human mind can do? In this absorbing and frequently contentious book, Roger Penrose--eminent p For decades, proponents of artificial intelligence have argued that computers will soon be doing everything that a human mind can do. Admittedly, computers now play chess at the grandmaster level, but do they understand the game as we do? Can a computer eventually do everything a human mind can do? In this absorbing and frequently contentious book, Roger Penrose--eminent physicist and winner, with Stephen Hawking, of the prestigious Wolf prize--puts forward his view that there are some facets of human thinking that can never be emulated by a machine. Penrose examines what physics and mathematics can tell us about how the mind works, what they can't, and what we need to know to understand the physical processes of consciousness. He is among a growing number of physicists who think Einstein wasn't being stubborn when he said his little finger told him that quantum mechanics is incomplete, and he concludes that laws even deeper than quantum mechanics are essential for the operation of a mind. To support this contention, Penrose takes the reader on a dazzling tour that covers such topics as complex numbers, Turing machines, complexity theory, quantum mechanics, formal systems, Godel undecidability, phase spaces, Hilbert spaces, black holes, white holes, Hawking radiation, entropy, quasicrystals, the structure of the brain, and scores of other subjects. The Emperor's New Mind will appeal to anyone with a serious interest in modern physics and its relation to philosophical issues, as well as to physicists, mathematicians, philosophers and those on either side of the AI debate.

# The Emperor's New Mind: Concerning Computers, Minds and the Laws of Physics

For decades, proponents of artificial intelligence have argued that computers will soon be doing everything that a human mind can do. Admittedly, computers now play chess at the grandmaster level, but do they understand the game as we do? Can a computer eventually do everything a human mind can do? In this absorbing and frequently contentious book, Roger Penrose--eminent p For decades, proponents of artificial intelligence have argued that computers will soon be doing everything that a human mind can do. Admittedly, computers now play chess at the grandmaster level, but do they understand the game as we do? Can a computer eventually do everything a human mind can do? In this absorbing and frequently contentious book, Roger Penrose--eminent physicist and winner, with Stephen Hawking, of the prestigious Wolf prize--puts forward his view that there are some facets of human thinking that can never be emulated by a machine. Penrose examines what physics and mathematics can tell us about how the mind works, what they can't, and what we need to know to understand the physical processes of consciousness. He is among a growing number of physicists who think Einstein wasn't being stubborn when he said his little finger told him that quantum mechanics is incomplete, and he concludes that laws even deeper than quantum mechanics are essential for the operation of a mind. To support this contention, Penrose takes the reader on a dazzling tour that covers such topics as complex numbers, Turing machines, complexity theory, quantum mechanics, formal systems, Godel undecidability, phase spaces, Hilbert spaces, black holes, white holes, Hawking radiation, entropy, quasicrystals, the structure of the brain, and scores of other subjects. The Emperor's New Mind will appeal to anyone with a serious interest in modern physics and its relation to philosophical issues, as well as to physicists, mathematicians, philosophers and those on either side of the AI debate.

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4out of 5Mark Lawrence–I've been reading this one since June and it's now 3 days til Christmas! Roger Penrose is a famous mathematician who worked with Stephen Hawking on black holes and who has done ground breaking work elsewhere (including on the surprisingly fundamental issue of tiling 2D spaces!). The book is about the nature of intelligence and whether it really can be an emergent property of algorithmic procedure (i.e. Turing Machines, i.e. computers as we know them). Many people believe that intelligence can aris I've been reading this one since June and it's now 3 days til Christmas! Roger Penrose is a famous mathematician who worked with Stephen Hawking on black holes and who has done ground breaking work elsewhere (including on the surprisingly fundamental issue of tiling 2D spaces!). The book is about the nature of intelligence and whether it really can be an emergent property of algorithmic procedure (i.e. Turing Machines, i.e. computers as we know them). Many people believe that intelligence can arise from sufficiently complex algorithms operating on sufficiently powerful computers. Penrose is in a minority that doesn't. In order to make his point Penrose starts with issues of non-computability. A Turing Machine represents every possible algorithmic computer (including all the ones we've made), and there are many questions (regarding whether certain processes will stop or not) that Turing Machines can be proved to be unable to answer. This relates to Godel's proof that in any formal system (like mathematics) it is possible to pose questions that can't be answered within the system. Penrose says that the human brain can answer many such unanswerable questions (in a similar way to that in which it discovers new mathematics) using inspiration. In order to consider how the brain might be capable of things that Turing Machines are not Penrose then spends 85% of his fat book on a tour through science. And I mean pretty much the whole of physics plus some more. This is of course a whistle-stop tour, through mechanics, relativity, electro-magneticism, quantum mechanics, the formation and death of the universe etc ... To someone with a physics degree it constitutes a refresher course. I'm worried that to pretty much any one else it would be dull and incomprehensible. Additionally, given that most readers will not, in the time and detail available, really grasp much of it ... it's fairly pointless. The basics/feel of his final arguments could have been delivered by a less extensive tour of the whole of physics. At the end of it Penrose needs to postulate a quantum mechanical source for the brain's proposed ability to do what a computer (of any Turing Machine sort (including quantum computers, apparently) can't. This is a hard sell as entanglement and other quantum phenomena don't seem to have macroscopic impact in a hot/noisy environment such as that brain. However, Penrose does lay out an interesting possible architecture for quantum gravity and the way in which the quantum and classical world may be unified within a theory. These suggestions also play interestingly into the business of time/the flow of time/the fact we perceive a present, past and future. And yes, at the end of it all he even manages to get his tiling into it. Most of all, for me, this a heartening book not so much for the solutions it offers but for showing/reminding me just how much we don't know and that there are plenty of dark spaces in our knowledge/theories where all manner of surprises (including ones about the nature of intelligence) may lurk. A good read wrapped around an over-long physics 101 that's too complex for pretty much anyone without a physics degree. [it should be noted that I do have a physics degree, a math-based PhD, and years of experience working on research problems in the 'AI' area.] Join my Patreon Join my 3-emails-a-year newsletter #prizes ......

5out of 5picoas picoas–If you're into stuff like this, you can read the full review. Physics and Computer Science for Laymen: "The Emperor's New Mind" by Roger Penrose Penrose certainly has a generous idea of his readers' mathematical ability. It's a kind of running joke among "Penrose-fans": he always starts his books by saying you'll find it tough going if you haven't got a 12th Year (in Portugal)/GCSE (in the UK) in math, but that he'll explain it as he goes if you haven't. Twenty pages later you're on Gödel and conf If you're into stuff like this, you can read the full review. Physics and Computer Science for Laymen: "The Emperor's New Mind" by Roger Penrose Penrose certainly has a generous idea of his readers' mathematical ability. It's a kind of running joke among "Penrose-fans": he always starts his books by saying you'll find it tough going if you haven't got a 12th Year (in Portugal)/GCSE (in the UK) in math, but that he'll explain it as he goes if you haven't. Twenty pages later you're on Gödel and conformable geometry. He doesn't do it deliberately; he really does believe his books are popular science. How can you not love him? I purchased an on-line kindle edition of this book back last year via Amazon and it was more about bringing myself up to date (I read it for the first time in 1991 when the book came out), although such things are never truly current due to Theories being debated and tested for very many years within Scientific Realms. Roger Penrose's books are as stated often inclusive of more mathematical devises than many books aimed at more laymen realms, so I often regard them as perhaps Bridging that gap between Solid Science Headaches and Laymen 'I read an article and am a common law know-all expert'.

5out of 5Manny–I suggested that one could imagine Albertine's gang in A L'Ombre Des Jeunes Filles En Fleurs as a kind of wave function of girls (see my review), and that made me think of The Emperor's New Mind. Given that it's all about quantum mechanics, I suppose it's appropriate that I have two different and completely incompatible reactions to it. On one hand, I am annoyed with Penrose. OK, he is a great genius in his own field, but why does that give him a license to come in and pronounce on the things I I suggested that one could imagine Albertine's gang in A L'Ombre Des Jeunes Filles En Fleurs as a kind of wave function of girls (see my review), and that made me think of The Emperor's New Mind. Given that it's all about quantum mechanics, I suppose it's appropriate that I have two different and completely incompatible reactions to it. On one hand, I am annoyed with Penrose. OK, he is a great genius in his own field, but why does that give him a license to come in and pronounce on the things I do, hardly even bothering to quote anyone who actually works in Artificial Intelligence? How would he feel if, say, Peter Norvig were to write a book on quantum theory, quoting only AI and computer science people, and making it sound like all the real quantum theorists were irrelevant? Many other AI people I know who have have read the book feel similarly. On the other hand, Penrose's suggestion that we should think of people's minds as quantum-mechanical systems is interesting. In fact, I'd go further than that: it's sometimes a useful thing to do in real life! At least, I find myself thinking that more often than you might suppose. Here's what I mean. Often, it makes little sense to ask whether a person "really" thinks A, or if they rather think its opposite, B. It's more useful to imagine that they are in a superposed state, which is a combination of A and B. You can perform an observation, and force them into an eigenstate: then they will indeed have to take a stand as to whether it's A or B. But doing this changes the situation; you may wish you'd been sensible enough not to carry out the observation, and just left things superposed. I think these observations are particularly relevant in serious romantic quarrels. Next time you are unfortunate enough to get into one, and if you are sufficiently interested in these issues to remember the experiment you're supposed to do, consider whether it's intuitively reasonable to model the other person's state as a superposition of "actually still loves you", "totally pissed off, had enough", and possibly other eigenstates. If you do think this is reasonable, consider whether your best strategy is to try and force them into an eigenstate, or leave it superposed. (I would LOVE data here). Personally, I think it's often best to try to leave the state superposed. Is this just a fancy way of describing a conflict-avoiding cop-out strategy, or is it some kind of insight? Again, my answer would be the one you so often get in quantum theory: both, even though they seem to contradict each other. As you can see, I am eagerly awaiting the publication of A Quantum Theory of Love. Please, won't someone hurry up and write it? But I think Penrose is the wrong guy to do this job.

4out of 5Ami Iida–The contents of quantum mechanics is the highest peak Among every physics books. Climax of this book Quantum gravity theory is not currently elucidated. Description of the structure of the brain is very weak, Currently, neuroscience is progressing rapidly Books in the system are better than this book. What is consciousness? The answer has not yet been answered. We should expect the book of the future of neuroscience. I also am going to read the recent books in this system. because fMRI and PET have been d The contents of quantum mechanics is the highest peak Among every physics books. Climax of this book Quantum gravity theory is not currently elucidated. Description of the structure of the brain is very weak, Currently, neuroscience is progressing rapidly Books in the system are better than this book. What is consciousness? The answer has not yet been answered. We should expect the book of the future of neuroscience. I also am going to read the recent books in this system. because fMRI and PET have been developed, human brain is easy to inspect and measure. Continuum hypothesis has not yet been proven. Since the beginning of the 20th century Quantum mechanics and molecular biology have been to lead the modern science. The last item quantum gravity theory and neuroscience. This is currently under investigation. The former is not yet known. The latter has been elucidated little by little by the spread of medical equipment.

5out of 5Ivan Vuković–First of all, I absolutely love Penrose. His style simply amazes me! There's this feeling that he wants to tell you SO MUCH and that he's trying hard to control himself so that he doesn't end up with a book several thousand pages long. Also, it's obvious that he enjoys science and mathematics on a really profound level. Those two things are really what kept me on the edge of my seat (when I wasn't reading while walking) while I was reading this book! As someone interested both in neuroscience and First of all, I absolutely love Penrose. His style simply amazes me! There's this feeling that he wants to tell you SO MUCH and that he's trying hard to control himself so that he doesn't end up with a book several thousand pages long. Also, it's obvious that he enjoys science and mathematics on a really profound level. Those two things are really what kept me on the edge of my seat (when I wasn't reading while walking) while I was reading this book! As someone interested both in neuroscience and mathematical physics I found this book absolutely brilliant and fascinating. If you came to this book from the purely neuroscience side and really don't like mathematics and physics, then MAYBE this book isn't for you, but personally, I like how Penrose isn't afraid at all to go into mathematically detailed stuff when he feels it is necessary to do so... and some things are not so trivial to understand! One more thing... I've seen many people (including a decent number of reviewers here) claiming that Penrose is nuts and that this book is filled with bollocks and nonsense, that he isn't logical, factual and whatnot... So, I was very careful and skeptical about this book and I have to say that people who say so are not fair to Penrose. Whenever he introduced something that wasn't widely accepted or something extremely speculative, he explicitly stated so, over and over again! Besides, it's not like he doesn't know what he's talking about... we should never appeal to authority as an argument (and I'm not doing that), but keep in mind that he isn't just some crazy old guy who doesn't know anything! Bottom line, you should form your own opinion about it, but I strongly recommend this book and I'm looking forward to reading Penrose's Road to Reality!

5out of 5Mitch–It's hard for me to rate this one: the bulk of the book was a great deal of fun, in the vein of "Goedel, Escher, Bach"; the concluding section seemed astonishingly ill-conceived. There's a big debate around this, but the connections he makes strike me as terribly wrong. Incompleteness doesn't prove the human mind does something no machine can do, and microtubules do not allow brain-wide coherence for special quantum-supercharged thinking that results in consciousness. But watching Icarus crash and burn mi It's hard for me to rate this one: the bulk of the book was a great deal of fun, in the vein of "Goedel, Escher, Bach"; the concluding section seemed astonishingly ill-conceived. There's a big debate around this, but the connections he makes strike me as terribly wrong. Incompleteness doesn't prove the human mind does something no machine can do, and microtubules do not allow brain-wide coherence for special quantum-supercharged thinking that results in consciousness. But watching Icarus crash and burn might be as much fun as watching him soar high and proud until then, so I certainly recommend this book to anyone who enjoys following a brilliant mind broadly exploring math and science.

5out of 5Paul Kieniewicz–After scanning the host of negative reviews of this book, I feel compelled to speak my piece. I've read this book more than once, and often return to it and find a few more nuggets. Is seems to me that there are few other books that grapple as honestly with the nature of consciousness. The AI community, and materialist scientists who start with the premise that --- it's all in the brain; we don't know how or where but one day we will know, are the people that Penrose challenges. This book predic After scanning the host of negative reviews of this book, I feel compelled to speak my piece. I've read this book more than once, and often return to it and find a few more nuggets. Is seems to me that there are few other books that grapple as honestly with the nature of consciousness. The AI community, and materialist scientists who start with the premise that --- it's all in the brain; we don't know how or where but one day we will know, are the people that Penrose challenges. This book predictably annoys them. Since the book's publication in 1989, when Penrose asserted that the nature of consciousness will not be explained in materialistic terms, his prediction has proved true. We're no closer to understanding consciousness than we were then.Perhaps, as Penrose suggests, we're like scientists trying to build a perpetual motion machine, who still don't accept the second law of thermodynamics, stating that such a machine cannot be built. It's a blow to our human hubris when a scientist makes a proposition that begins with the words: "It is not possible..." Using arguments based on Godel's theorem of incompleteness, and the work of Turing, Penrose makes a credible case for why consciousness will never be explained in materialistic terms. In so doing he steps on a lot of toes. But maybe he's right. 2 plus 2 will never be 5 either.

5out of 5Peter–Here's what I think: Roger Penrose is wrong, and smart enough to convince himself he's right. I know he's smart because the journey he provides to his thesis is so rich with disparate concepts (I awarded an entire extra star just for the chapter that introduces quantum mechanics, for example). Unfortunately the logic that ties the whole thing together doesn't speak to me. The purpose of the book is to argue that strong AI is fundamentally impossible. He argues this from the last place I think is Here's what I think: Roger Penrose is wrong, and smart enough to convince himself he's right. I know he's smart because the journey he provides to his thesis is so rich with disparate concepts (I awarded an entire extra star just for the chapter that introduces quantum mechanics, for example). Unfortunately the logic that ties the whole thing together doesn't speak to me. The purpose of the book is to argue that strong AI is fundamentally impossible. He argues this from the last place I think is left for such a position. If we can simulate the action of a neuron, and if it's possible to know how neurons are connected, then in principle we can duplicate a brain and thus, it seems, a mind. Therefore, strong AI is possible, UNLESS brains depend on exotic physics not yet understood. He's very careful to distinguish between intelligence and consciousness: technical advances may make it possible for software to write symphonies, but that software, he claims, won't be conscious without taking advantage of certain quantum gravity effects which have not yet been observed and which are currently explained by no rigorously tested theory. There's a lot of suspense building to the thesis at the end, which he keeps well hidden up to then, intentionally or not. The author doesn't jump ahead to give a peek at how the chapter in question fits into the big picture; rather, he restates his thesis and promises again and again that he's about to prove it. In the end, the logic is underwhelming. Part of his argument actually rests on the impossibility of genetic programming, a technique that became popular a decade after publishing. I can easily allow the possibility that brains take advantage of exotic physics to perform computations; biology is a top down discipline, and in many respects the bottom, the basic physical reality of the phenomena in question, is nowhere in sight. But I'm less convinced that consciousness can't arise without those effects; and, anyway, it remains possible to simulate THOSE effects in a computer, and thus to build a strong AI. The whole thing smells like the scientific writings of an intelligent, scientifically read creationist, doing whatever logical gymnastics are necessary to prove the desired point, as much to oneself as to anyone else. One possibility the author allows for is that the quantum gravity effects he's postulating are deterministic, but non-computable. That is, that the state of a system, if it were known, implies how the state will evolve next with no possible randomness, yet the state in the future cannot be CALCULATED, even in principle. It's a neat idea that may or may not be sensible and I don't have any more to say about it. It's a good book. The math, physics, and computer science are all intensive, but Penrose is a good writer and pleasant to read. I don't regret the several weeks it took me to finish.

4out of 5DJ–First, the good. Penrose weaves tales of science, philosophy, and history that few others can, due to his wide-ranging and vast intellect. He touches on a wealth of interesting subjects in this book and his enthusiasm for them bleeds through the pages. In particular, this book offered the most illuminating introduction to entropy (in the "Cosmology and the arrow of time" chapter) that I have ever read. In short, before I read it, I didn't believe in the second law of thermodynamics. After I read First, the good. Penrose weaves tales of science, philosophy, and history that few others can, due to his wide-ranging and vast intellect. He touches on a wealth of interesting subjects in this book and his enthusiasm for them bleeds through the pages. In particular, this book offered the most illuminating introduction to entropy (in the "Cosmology and the arrow of time" chapter) that I have ever read. In short, before I read it, I didn't believe in the second law of thermodynamics. After I read it, I could interpret the entire world through "entropy goggles". In other books, entropy was some esoteric concept; here it is a beautiful and central feature of our universe. Now, the irritating. Penrose's stated goal in this book is to convince the reader that strong AI will not be realized. In other words, what human brains do, no computer ever could. Yet, however many fascinating ideas he introduces, his core evidence is little more than hope that what he does as a mathematician is unique; that human "aha!" moments are somehow distinguished from anything a computer ever does. Penrose fervently declares that he is no "formalist", claiming that the mere idea of a computer arriving at mathematical proofs makes the pursuit of mathematical truth "meaningless". Why? A computer may arrive at such a truth, but it is the human's role to make human meaning out of it. Meaning isn't some quality embedded into the fabric of our universe. It is a manufactured human ideal - a wonderful, enjoyable one at that. Penrose goes on to cite the vague notion of "reflection principles" (the imprecise methods by which the human mind discovers mathematical truth "upon reflection") as above and beyond algorithms. He uses these "aha!" moments as support for his argument that algorithms cannot possibly imitate what we do. Yet, how can we be so sure that these "aha!" moments do not arise from some complicated algorithm themselves? Perhaps, any human-created set of mathematical axioms will always be subject to "reflection principles" and only a more intelligent species could create a set for which there are no human-generated "reflection principles". Perhaps the notion of computability simply refers to a hierarchy of skill among complex adaptive systems. (If anyone knows of a book or research on such an idea, please let me know) Finally, on Penrose in general. Penrose's books tend to occupy a literary no-man's-land between popular science and technical writing: too technical for the average hobbyist yet not deep enough for a student in the sciences. It seems he's just too damn smart to recognize what falls into each category (for example, he might spend half a chapter explaining fractions and then breeze through Hamiltonians in half a paragraph). For me, he's best as a connector of mathematical and physical ideas after I've been formally introduced to them. As any good book should do, this one did leave me with a few questions (besides the above): Which is a deeper truth - math or physics? In reflecting on the story non-Euclidean geometry, what else are our evolutionary adaptations leading us to falsely assume? Has anyone checked whether Hamiltonians would be deterministic for computable universal constants and discrete input? Can we really separate dynamical equations from boundary conditions? Are not boundary conditions simply consequences of other not-yet-understood dynamical equations?

4out of 5Kaśyap–This is a great mathematical book, which goes deep into many mathematical and philosophical ideas.I was 17 when i first picked it up at a library and this book was my introduction to many mathematical concepts and quantum mechanics. The basic premise of the author in this book is that human consciousness cannot be simulated computationally.his hypothesis that the human brain is a quantum-mechanical structure is very interesting. Not an easy read, but definitely worth going through.

5out of 5Samir Rawas Sarayji–I got so bored... too much formalism with having to explain all the mathematical and physical principles from the ground up before adding his own thoughts to the theme of consciousness. It all became too mucky to follow and keep track of, it felt more like a textbook for Penrose's ideas rather than an enlightening conversation that could offer me food for thought which I could digest. I got so bored... too much formalism with having to explain all the mathematical and physical principles from the ground up before adding his own thoughts to the theme of consciousness. It all became too mucky to follow and keep track of, it felt more like a textbook for Penrose's ideas rather than an enlightening conversation that could offer me food for thought which I could digest.

5out of 5G.R. Reader–I did a back-of-the-envelope calculation and told Roger that the decoherence times were at least ten orders of magnitude too low for the brain to be a quantum computer. No response. Then Max did it more carefully and said they were twenty orders of magnitude too low. Any advance on twenty? Sigh. I love Roger, but sometimes he just won't listen. I did a back-of-the-envelope calculation and told Roger that the decoherence times were at least ten orders of magnitude too low for the brain to be a quantum computer. No response. Then Max did it more carefully and said they were twenty orders of magnitude too low. Any advance on twenty? Sigh. I love Roger, but sometimes he just won't listen.

4out of 5Tom–Penrose sets out to prove that strong AI (minds simulated on digital computer being equivalent to biological minds) is impossible. He argues that minds depend on a physical process which, while perhaps deterministic, is non-computable and therefore can't be simulated on a Turing machine. This was quite convincingly argued, and in the process Penrose takes you through probably the most comprehensible description of quantum theory that I've read in popular form. Not shying away from using the odd Penrose sets out to prove that strong AI (minds simulated on digital computer being equivalent to biological minds) is impossible. He argues that minds depend on a physical process which, while perhaps deterministic, is non-computable and therefore can't be simulated on a Turing machine. This was quite convincingly argued, and in the process Penrose takes you through probably the most comprehensible description of quantum theory that I've read in popular form. Not shying away from using the odd formula helps keep the ideas concrete and generally didn't freak out this reader too much. His reason for covering so much physics in order to explain his opinion on AI is that he thinks the process that turns quantum physics on the very tiny scale into classical physics on human scales is the non-computable process essential to consciousness (and is necessarily tied to quantum gravity). The discussion of the limitations of current theories seems much more insightful than the typical very speculative and fantastical projections of possible future physics found in popular cosmology. In particular, Penrose makes an interesting prediction about a future more complete theory: it will be time asymmetric (whereas current theories don't care what direction you run time in), and a low entropy start to the universe will be an essential feature of it (explaining the 2nd law of thermodynamics). He does have the (rather odd) idea that the 'platonic world' of mathematical truths can be reached from the mind (via this non-computable physical process), which is how mathematicians can 'see' the truth of mathematical propositions which would stump a purely algorithmic mind (since that algorithmic mind can't figure out the truth of its gödel sentences). I think it is more likely that these propositions are being analyzed in a more heuristic and error-prone way. But this implies cognitive closure which would be a shame. This book didn't resolve any of my philosophical problems with consciousness... Anyway, you should read this.

5out of 5Josh Friedlander–Penrose's magnum opus, The Road to Reality, is supposed to be great but notoriously difficult, so I went for this one, aimed at a general reader. Penrose claims that his arguments "do not require mathematical knowledge beyond that of elementary school", but seems to have a high opinion of elementary schools, covering inter alia the lambda calculus, the Argand plane of complex numbers, Hamiltonian mechanics, the Lorentz equation, Hilbert space, quantum gravity, cosmology and algorithmic complexit Penrose's magnum opus, The Road to Reality, is supposed to be great but notoriously difficult, so I went for this one, aimed at a general reader. Penrose claims that his arguments "do not require mathematical knowledge beyond that of elementary school", but seems to have a high opinion of elementary schools, covering inter alia the lambda calculus, the Argand plane of complex numbers, Hamiltonian mechanics, the Lorentz equation, Hilbert space, quantum gravity, cosmology and algorithmic complexity theory. In fact the goal of this quick tour through some of the twentieth century's push to the foundations of mathematical and physical reality is to put forward a theory of mind. Although not following every detail, I thought I had a general sense of what was going on most of the time, but still could not tell you what a Ricci tensor is. The essential bit of this book is an attack on the computational theory of mind, popular among researchers and practitioners in AI (undergoing a "winter" when this book came out in 1989), whereby the brain is essentially nothing different from a universal Turing machine, implemented in wetware, just with some algorithmic and processing tweaks that make it better at identifying bicycles in pictures, appreciating poetry and feeling conscious, and which advances in hardware and AI algorithms will soon be able to replicate. There are all kinds of objections to this theory, philosophical and technical, but Penrose focuses on one closer to his area of expertise: that the brain is able to process things which are essentially uncomputable. In his preface hie gives the example of Goodstein numbers, which are unprovable by the regular axioms of maths, but still can be proven to terminate in zero. The broader idea is that there exist facts that we know despite being infinitely recursive by serial calculation, implying that our brains must work by some other mechanism. Penrose's thesis is that this has to do with quantum uncertainty. Despite being highly regarded in his field (including winning the most recent Physics Nobel), this theory seems to be considered a bit out there both by neuroscientists/psychologists and by physicists, but Penrose sticks to his guns (most recently in this podcast) while cheerfully acknowledging that he is a lone voice. When you are this famous, you get one crazy idea - just ask Avi Loeb! The book gives a potted history of physics, classifying theories as superb (there are very few of these), useful, tentative and misguided. Even the superb theories are just approximations of reality and break down at a certain resolution, but their extreme closeness to reality is awe-inspiring. From Euclid to Galileo, from Newton to Maxwell to Einstein, it has often occurred that physical discoveries are based on some new and beautiful maths. This surprising connection strengthens Penrose's belief in the reality of at least some mathematical Platonic objects (e.g. Mandelbrot sets!) - a view known as realism - while conceding that not every equation must have Platonic reality. Finally he reaches quantum electrodynamics, fundamentally an attempt to resolve the classical contradiction between everything being particles (as in Newtonian mechanics) and everything being fields (as in Maxwell's equations). The bizarre conclusion of the physicists, that the particle's state seems to change based on whether we are observing it or not, is to Penrose connected to the mystery of consciousness, and he speculates that the collapse of the wave-function might be related to what goes on in conscious brains. The final chapter of the book contains a summary of how brains work and where such a theory might fit in. Penrose points out that some think the unconscious mysterious but conscious thought understandable (after all, we can recall and explain it), but he thinks the unconscious understandable (since the primitive "lizard brain" mostly follows simple rules) but consciousness very hard! He muses on the connection between the two in creative thought, when the unconscious sometimes seems to shoot out ideas, which are then evaluated by the conscious mind. Some things have changed since Penrose wrote this book (amusingly, he says that the truth of Fermat's Last Theorem "is still unknown", just four years before Andrew Wiles proved it). AI has gotten a lot better, and is much in the public eye. Nonetheless, the essential points Penrose makes all still obtain, and we will probably wait much longer - perhaps forever - before understanding this issue fully. A note on the audiobook: the narrator reads mathematical notation literally, ignoring the fact that it is often easier to speak such statements than to write them, so for example "1 + Tₙ(n) × H(n;n) = Tₖ(n)" is read as "one plus T n open parenthesis n close parenthesis times H open parenthesis n n close parenthesis = T k open parenthesis n close parenthesis", rather than "Turing machine n given n times Turing machine H given n and n equals Turing machine k given n", which is longer to write but much easier to say and understand. This is even worse when discussing the lambda calculus with all its parentheses!

5out of 5Douglas–I read this book when it first came out and I was still a student of science so my memory on specific details is sketchy. There is no doubt that it is interesting and lively. I recall agreeing with Penrose's skepticism about artificial intelligence through his discussion of the Chinese Room Problem and the idea that if it were possible to write down the "program" of a person's mind in a book then the book, in a very slowed down sense, would be intelligent. From this I recall that his skepticism I read this book when it first came out and I was still a student of science so my memory on specific details is sketchy. There is no doubt that it is interesting and lively. I recall agreeing with Penrose's skepticism about artificial intelligence through his discussion of the Chinese Room Problem and the idea that if it were possible to write down the "program" of a person's mind in a book then the book, in a very slowed down sense, would be intelligent. From this I recall that his skepticism is about what some call the Strong AI hypothesis, which the Chinese Room Problem and the example of the book illustrate. His argument is that the functioning of the mind is inherently a quantum phenomenon and, because of the indeterminacy of states inherent in quantum systems, the mind cannot be embodied in a machine (like a Turing machine) that progresses through definite states. In fact, Penrose (again from distant memory!) says that the human mind is uniquely and inextricably bound to the human brain. Thus all the grandiose claims of the proponents of AI are in a way like the praises the fabled naked emperor receives from his courtiers as he bestrides his throne room and thus the book's title. All of this is very good and, I think, weakens the plausibility of materialism which is the philosophical pedestal on which most scientists stand; though I realize this was probably not Penrose's intention. (It weakens it because it illustrates a reductio ad absurdum of the materialistic point of view.) Another interesting book, expressing skepticism toward AI is Hubert Dreyfus', "What Computers Can't Do". Dreyfus is a phenomenologist and tackles the problem from that point of view and not one based on modern physics.

5out of 5Michiel–A book about turing machines, Gödel's theorem, cosmology, quantum mechanics, neurology and consciousness? I was sold! Penrose is, IMHO, the best writer about physics. His style is friendly and relaxed but thorough. I do not follow his thesis that it is not possible to construct hard AI and brains need an quantum physical element to be understood. But this book deals with such interesting subjects and themes about the universe and our place in it, it is impossible not to be fascinated. A book about turing machines, Gödel's theorem, cosmology, quantum mechanics, neurology and consciousness? I was sold! Penrose is, IMHO, the best writer about physics. His style is friendly and relaxed but thorough. I do not follow his thesis that it is not possible to construct hard AI and brains need an quantum physical element to be understood. But this book deals with such interesting subjects and themes about the universe and our place in it, it is impossible not to be fascinated.

5out of 5Prashant–Incredible, Insightful, and Lucid, from the Master Mathematician / Physicist, the one and only, Sir Roger Penrose.. I found resonance here for many of the ideas I was looking to develop . Shall keep this one close to me for frequent revisits.

5out of 5Louisa–Computers can defeat humans in a game of chess, and perform mathematical operations much faster than humans can. A robot can be built that detects when its batteries are running low and when this happens, goes off to find a power socket to plug itself in and recharge. Computers can be programmed to answer questions as a human being would. But can a computer solve every problem that a human being can solve? Could computers ever be aware of, and actually understand what they are doing? Could the e Computers can defeat humans in a game of chess, and perform mathematical operations much faster than humans can. A robot can be built that detects when its batteries are running low and when this happens, goes off to find a power socket to plug itself in and recharge. Computers can be programmed to answer questions as a human being would. But can a computer solve every problem that a human being can solve? Could computers ever be aware of, and actually understand what they are doing? Could the entire contents of the brain be stored on a digital device? To state that a computer behaves as a human being, is it enough that it gives us answers that are indistinguishable from those of a human being? Can computers actually be intelligent; will they feel, think, and have minds? The defenders of "strong-AI" say yes, but Penrose doesn't think so. He argues that there is a lack of understanding of the laws of physics at the scale of the human brain that prevents us from penetrating the concept of "mind" in physical or logical terms. In other words, there is a piece of the puzzle missing. To explain his viewpoints, Penrose takes us on a ride through the developments in artificial intelligence (as it was in the end of the 1980s when he wrote the book), the workings of the Turing machine, the foundations of mathematics and Gödel's theorem, quantum theory and electromagnetism, and he does that really well. Penrose is a very creative thinker with an astonishing mastery of many fields of science. It is therefore disappointing that what follows in the last few chapters is no more than speculation; his suggestion that consciousness is the result of quantum gravity effects in certain areas of the human brain has since been refuted by other scientists. I am still glad to have read The Emperor’s New Mind, as it provides an interesting contrast with Hofstadter's views on artificial intelligence, and I certainly learned a lot from the science chapters. However, I doubt whether it is worth going through such an awful lot of math for a somewhat outdated theory.

4out of 5Arko–This is the first book of Sir Roger Penrose that I read by now and it left me mesmerized by the originality of his ideas no matter how much speculative they may be. Sir Penrose is a mathematician of first rate and it is very evident from his take on the hard problems which is beyond the mainstream approach of physicists. I am very much biased towards new ideas that can knit a multitude of problems together yet possessing a scientific ring of falsifiability, predictability and testability. This b This is the first book of Sir Roger Penrose that I read by now and it left me mesmerized by the originality of his ideas no matter how much speculative they may be. Sir Penrose is a mathematician of first rate and it is very evident from his take on the hard problems which is beyond the mainstream approach of physicists. I am very much biased towards new ideas that can knit a multitude of problems together yet possessing a scientific ring of falsifiability, predictability and testability. This book was written back in the late 80s with so rich ideas which can leave one thinking about it even today. In this book the author speculates an approach to answer the nature of consciousness which necessitates a modification of quantum and classical physics to an unification of both. Such unification is the holy grail of physics and much work is done on it and still ongoing. But the approach which Sir Penrose posits is quite a different one from the conventional line of thought of our present times. Moreover such approach ties not just classical and quantum worlds but also that of our consciousness as well. Although very speculative and much work needs to be done on this (even the author presently has somewhat moved on from his theory of one graviton criterion presented in this book) the essence of his approach remains the same and active research is being done at present. This approach being a gravitational collapse of the quantum wave function. To describe the book: Firstly the author questions the possibility of present day digital computers of having a mind or not. Such computers are run on algorithms which much of our brain functionality also does however the attribute of a conscious interpretation or judgement need to transcend this algorithmic nature and be non-algorithmic. The author describes computers that pass the Turing test and AI with complex algorithms have a good calculation power but the essence of understanding is something non-computational that remains lacking in these machines. The Author then delves into the meaning and details of algorithm, stretching to its limit of the most important insolubility of Hilbert's Halting problem of finding a mathematical procedure to ascertain the solution of all mathematical problems belonging to broad well defined class. It turns out to have no general algorithm to find such solutions in general for various mathematical problems. The famous incompleteness theorem given by Kurt Gödel does present to us the very limit of formalism of any one kind in particular which is applicable for all formal systems nevertheless. There are problems of Hamiltonian circuit and travelling salesman problem which belongs to the category of problem whose solution doesn't have an algorithm in specific determined time range. These are termed as NP complete. The more general algorithms being referred as P which possess algorithm for its solution in deterministic time. As of now P and NP are understood as different. Also the famous mathematical problem of tiling in which the author himself is a significant contributor towards aperiodic tiling structures, has no algorthimic decision procedure of its solution. Armed with all these concepts and the famous branch of non-recursive mathematics, the author posits that there should be a non-algorithmic nature of our consciousness which is much capable of judgement and insights. The best part of reading books by such high rank mathematicians and physicists as the author himself is that the reader's basic ideas in the field of mathematics and physics gets well strengthened. Sir Penrose magnificently described the world of mathematics , classical and quantum physics in each of which there are hints of non-algorithmic , deterministic but non-computational & non-local attributes respectively. Penrose is a Platonist giving the timeless realm of mathematical world a certain reality of its own. Finally the author arrives at his speculation namely one graviton criterion. Here Penrose tries to provide a possible mechanism as to how the complex weighted linear superposition of quantum wave function collapses to form a observable aspect of our classical world out of the several orthogonal alternatives which coexists in quantum world giving it a non-local feature. Locality gets imbued , according to this theory , when the difference between initial and final mass distribution as a part of the superposition achieves a gravitational field difference to that of 1/100 of Planck mass. With several interesting phenomena of quasicrystals where a 5-fold symmetry ( tiling in 5fold symmetry was worked out by Penrose ) occurs need a nonlocal quantum superposition description to attain it in a minimum energy. With such an analogy the author speculates the growth and contraction of dendrites (having synaptic connecrions) of neurons of our brain can occur in a similar fashion then such a superposition would collapse upon meeting the one graviton criterion within a certain small amount of time. Within this time several nonlocal activity may be achieved simultaneously which when collapses takes the form of a judgement or conscious decision. This collapse which slides from the deterministic Schrödinger wave function(superposed) evolution to the stochastic reduction of wave function requires a new quantum gravity theory with a non-algirithmic property. Also in this book Penrose subtely touches on an interdependency of quantum state vector reduction and a null value of tidal flow field given by the Weyl curvature tensor of the equations of the famous Einstein's general theory of relativity. This constraint of Weyl curvature tensor being zero is theorized to be present at the Big bang singularity imparting our Universe the second law of thermodynamics which states that irreversible events occur towards a higher entropic state with a lower entropic state preceding it. The nature of brilliant insights or spark of ideas which comes up in our mind altough having a non-algorithmic nature it nevertheless depend on the otherwise various algorithmic/computational activities of our brain carried out involuntarily. This book is a collection of several deep and insightful ideas. I have seldom written such a lengthy review in goodreads owing to my inability to manage time. But for this book I lost track of time and length of my review. This book is a mandatory read for those who strive for diverse ideas for various mysteries of our reality.

4out of 5keith koenigsberg–Another longtime companion of mine, this book is by turns brilliant and exasperating. It's a bulky layman's discourse on Artificial Intelligence, seeking the answer to the question "Can a computer ever possess true intelligence?" Its brilliance lies in fascinating and lucid coverage of a variety of subjects in mathematics, classical and quantum physics, relativity, and all of the philosophical underpinnings. Unfortunately in the tumble of information Penrose neglects to pull the threads together Another longtime companion of mine, this book is by turns brilliant and exasperating. It's a bulky layman's discourse on Artificial Intelligence, seeking the answer to the question "Can a computer ever possess true intelligence?" Its brilliance lies in fascinating and lucid coverage of a variety of subjects in mathematics, classical and quantum physics, relativity, and all of the philosophical underpinnings. Unfortunately in the tumble of information Penrose neglects to pull the threads together and support a thesis. I always looks back, say, at a chapter on the Mandelbrot set or Godel's Theorem, or whatever, thinking - that was great and fascinating, but what does it have to do with the nature of intelligence? Exactly what is the link between black holes and brains? Penrose's thesis - that human thought and self-awareness are non-algorithmic - is supported indirectly, if at all.

5out of 5Kevan–My reaction to this book and its follow up, Shadows of the Mind, were pretty much the same. Yes, it's true we can't reconcile gravity and quantum mechanics Yes, reconciling how intelligence arises in a purely mechanical system is not understood Yes, Godel's incompleteness stuff and Turing halting stuff are weird and not at all obvious But, no, I am very far from convinced that a mechanism that allowed us to reconcile General Relativity and Quantum Mechanics would allow us to understand how intellige My reaction to this book and its follow up, Shadows of the Mind, were pretty much the same. Yes, it's true we can't reconcile gravity and quantum mechanics Yes, reconciling how intelligence arises in a purely mechanical system is not understood Yes, Godel's incompleteness stuff and Turing halting stuff are weird and not at all obvious But, no, I am very far from convinced that a mechanism that allowed us to reconcile General Relativity and Quantum Mechanics would allow us to understand how intelligence can arise and avoid the Godel paradox That being said, Penrose is a tad smarter than I am. Maybe it's a case of the reader blaming the authors for the reader's shortcomings

4out of 5Adeyemi Ajao–This book is fantastic for two reasons: 1. Its central idea: That the nature of human thought is ultimately non-algorithmic...a fascinating point of view in this AI dominated era 2. Being privy to the inner workings of Roger Penrose's mind. In an era in which scientific specialization is the norm, it is refreshing to read someone that jumps from chaos mathematics to computing and quantum gravity to answer questions about consciousness. If Hesse's "Glass Bead Game" was real, Roger Penrose will no This book is fantastic for two reasons: 1. Its central idea: That the nature of human thought is ultimately non-algorithmic...a fascinating point of view in this AI dominated era 2. Being privy to the inner workings of Roger Penrose's mind. In an era in which scientific specialization is the norm, it is refreshing to read someone that jumps from chaos mathematics to computing and quantum gravity to answer questions about consciousness. If Hesse's "Glass Bead Game" was real, Roger Penrose will no doubt be one of its most accomplished players

5out of 5Roshan Rane–Gives a nice introduction to the worlds of physics, math and minds and ties it all together. Roger is an exceptional mathematician and a great writer. But the conclusion of the book and his idea of consciousness is still lacking substance, in my opinion. Nevertheless, it's a great book. It set a new course in my life by making me fascinated about consciousness and the mind. Gives a nice introduction to the worlds of physics, math and minds and ties it all together. Roger is an exceptional mathematician and a great writer. But the conclusion of the book and his idea of consciousness is still lacking substance, in my opinion. Nevertheless, it's a great book. It set a new course in my life by making me fascinated about consciousness and the mind.

4out of 5Sandys Nunes–4out of 5Rahul Chodankar–A great book with excellent discussions on a plethora of topics. However, the overall flow of the book is quite odd, and more of a monologue or lecture by Penrose, in which he frequently wanders off topic and unnecessarily complicates certain concepts.

5out of 5Dima Gerasimov–I feel like the book would be very useful for someone without prior knowledge of modern CS/physical fundamentals and who wants to glimpse into its connections with modern philosophy of mind. Otherwise the book is quite thought provoking.

4out of 5Kumail Akbar–A whirlwind tour of physics that culminates in addressing questions relating to consciousness by a recent Physics Nobel Laureate! Bring. It. ON! Penrose is extremely readable, though I should caveat that having a degree in Physics gives me a bit of a leg up which I might not have otherwise had. Even so, I do feel he has made the mathematics and physics as lucid and readable for the average reader as is humanly possible and for that alone this book deserves 5 stars on its own. However, I did not A whirlwind tour of physics that culminates in addressing questions relating to consciousness by a recent Physics Nobel Laureate! Bring. It. ON! Penrose is extremely readable, though I should caveat that having a degree in Physics gives me a bit of a leg up which I might not have otherwise had. Even so, I do feel he has made the mathematics and physics as lucid and readable for the average reader as is humanly possible and for that alone this book deserves 5 stars on its own. However, I did not pick this book up just to refresh ideas I have not studied in almost a decade, I took it up because I am on a journey to learn more about consciousness and its discontents, and Penrose’s recent podcast with Lex Friedman suggested he had some fascinating ideas about this topic. Penrose key idea is that human consciousness is not algorithmic, even if it is produced by deterministic processes. This makes the idea of consciousness non computable, and so cannot be replicated by a Turing machine such as a computer. Thus, he suggests that ‘strong AI’ – or human level consciousness being replicated by computers – is not possible. To show this, Penrose runs you through classical and quantum physics and argues that non computable processes which lie in the quantum mechanical world might be tied to consciousness (as they may be to a future theory of quantum gravity). The argument itself is intriguing, and more so given the fact that Penrose made this argument back in the late 80s, whereas concepts of AI have only recently broken out from popular imagination into everyday life, and are making decisions for us in the world that we live in today. This makes the idea of a General AI as a super-human consciousness seem more of a possibility in the years to come. There is not much to worry about if Penrose is to be believed. What does this mean for a future theory of consciousness? Penrose suggests a future such theory would be tied to ideas like a future theory of quantum gravity, which in his opinion would carry properties such as the asymmetry of time, and a low entropic beginning of the universe – requiring redoing of a significant portion of physics as we know it. Who would I recommend this book to? EVERYONE. You need to know more physics. You need to know about the mathematical ideas and concepts which seem to provide us with tools to make predictions about (even if not completely understand) the world that we live in. You need to hear a mathematical physicist’s take on how mathematical ideas ‘emerge’. And you need to know what conscious is not, even if you do not ultimately find out what it really is. Incredible fascinating must read. 5 of 5 stars.

5out of 5Meg Briers–I am in two minds (ironic word choice considering the topic matter and specifically the later chapters) about this book. It was immense, it felt vastly informative (on the 1/2 that wasn't already covered in my degree, turing machines round 320 let's go) but at the same time, I was completely overwhelmed by the physics. This may just be my inability to comprehend physics (although I am proud of my latest attempt to overcome this), but it was a lot to take in. Interesting conclusions made, I used I am in two minds (ironic word choice considering the topic matter and specifically the later chapters) about this book. It was immense, it felt vastly informative (on the 1/2 that wasn't already covered in my degree, turing machines round 320 let's go) but at the same time, I was completely overwhelmed by the physics. This may just be my inability to comprehend physics (although I am proud of my latest attempt to overcome this), but it was a lot to take in. Interesting conclusions made, I used to think I agreed with a lot of Penrose's thoughts on consciousness but I now feel our views diverge more than expected. Definitely one to revisit and try to take in a bit more on each read.

5out of 5Amalia Madalina–Me, halfway through this book: “Are you lost, baby girl?”

5out of 5Light Bringer–I wish I would understand more.. punched with science.