[Gödel Escher Bach An Eternal Golden Braid] EBOOK / PDF
待つ [Matsu] pS bookThe chapter Figure and Ground starts with a set of rules for typographical operations which were used in the MUuzzle and the system which is the mechanical rocess of the Turing machine the Brainwashing of the German Nation parent of what we now know as computer intelligence Basically therocess involves reading and Encounters with Rauschenberg: (A Lavishly Illustrated Lecture) processing of symbols writing it down copying a symbol from onelace to another erasing the symbol checking for sameness and keeping a list of generated theorems This Vögeln ist schön: Die Sexrevolte von 1968 und was von ihr bleibt process of generating theorems is reliant on the sifting out of nontheorems Thearallel to this is the idea of figure and ground and the idea of recursion with figure and ground holding eual importance This is aesthetically explained using Escher s art Tiling of the Plane Using Birds and a discussion on melody and accompanimentFigure and ground form the basis for the idea of recursive and recursively enumerable or re A recursive set is one in which figure and ground holds eual importance That is its re and the complement of its re are eual However GEB showed that there exists formal systems in which the figure and ground are not recursive do not carry the same weight and are not complementary Basically this is saying that there are systems in which its nontheorems cannot be generated via a typographical decision rocedure A typographical decision rocedure sifts out nontheorems from theorems by Social Media and Social Movements: The Transformation of Communication Patterns performing tests that use the logic of the figureground Hence there exist formal systems for which there is no typographical decisionrocedure RecursionWe are led to the Principles of Isotope Geology process of recursion Recursion is therocess of building up from a block of structure The simplest explanation of recursion would be the visual imagery of the Russian Maruscha dolls in which an item is nested within an item within an item However this doesn t mean that a Ouroboros process is simply a replication of itself For example in language we start with smaller components such as words andhrases and build up complex sentences from there The Hollendartida i Norge: 1550–1750 process is explained in GEB asush op and stack of Artificial Intelligence When you ush you are temporarily stopping what you are doing to do something else When you op you return to it but starting from where you left off at one level higher To remember where you left off you store the information in a stack The example given in the book is of someone answering multiple hone calls We use the ush op and stack Bauern In Mexiko: Zwischen Subsistenz Und Warenproduktion process especially in our usage of language The most complex example of recursion is in the genetic mechanism of DNA in which the DNA molecules are formed from the smaller building blocks The defining characteristic of recursion is the change in levels so that it is recursive instead of being circular Neurologically this is illustrated in therocess of how symbols interact with each other At its minimal are the bare articles that do not interact with others They are nonexistent since all articles interact with each other The Punainen metsä process of interaction creates entanglement and a hierarchy of entanglements a 6 degree of separation of infinite loops Recursion is aart of this entanglementRecursion is reliant on samenessdifferentness The same thing happens with slight modifications and at a different level This is visually represented in MC Escher s Butterfliesimage error This book was so metal G del s incompleteness theorem which states that all consistent axiomatic formulations of number theory include undecidable Forever Im Yours propositions is certainly a largeart of what made the book so fascinating and addictive The issues of self reference and self awareness and how they relate to both human and otential artificial intelligence were likewise extremely compelling But the magic is in the mathHere is a brief summary of the G del in the bookThe above image knocked my socks off when I first saw it and I m still running around barefoot The longer I think about it the astounding it becomes No matter how many new branches you form on the trees no matter how small they might be there will always be some unreachable truth Wow No socksThe receding Honey, I Wrecked the Kids: When Yelling, Screaming, Threats, Bribes, Timeouts, Sticker Charts and Removing Privileges All Don't Work picture by Escher demonstrates another keyoint of the book to wit such twisting back such looping around such self enfolding far from being an eliminable defect was an inevitable by roduct of the system s vast ower G del s second theorem states that neither G nor its negation can be a theorem We have found a hole in our system an undecidable roposition You can even see the corresponding hole in the drawing by Escher it is in fact necessary for the image to make sense The fascinating thing is that any such system digs its own hole the system s own richness brings about its own downfallOnce the ability for self reference is attained the system has a hole which is tailor made for itself the hole takes the features of the system into account and uses them against the system No truly robust system can be consistent and no consistent system can be truly robustThus far I have attempted to summarize the main thematic elements "of the book as succinctly as ossible Now for some of the ros and cons of "the book as succinctly as ossible Now for some of the ros and cons of bookPros It was conceptually acked full of food for thought The book had everything you could ask for logic mathematics hilosophy music art sychology genetics recursive The Why Cafe paradoxes bad jokes about recursivearadoxes bad jokes about bad jokes about recursive aradoxesthe list goes on and on Sorry had to go there Anyway I also thought that the examination of the nature of intelligence was a worthwhile ortion of the book The Bongard Satisfying Mommy’s Pregnant Needs (A Psuedo-Incest, Mother-Son, Sleep Sex, Pregnancy, BDSM, Erotic Romance) problems were aarticularly neat way of looking at meaning attern recognition and how to rogram critical thinkinganalysisreasoning My Soul of Dust personal favoriteart math wise other than G del s insanity of course was Cantor s Diagonal Argument The infinitude of the real numbers never ceases to blow me away Just think of the all the real numbers contained between 0 and 1 for instance there is an infinite universe contained therein Infinite And that is only between two integers How many of those integer guys are running around again Oh yeah uite a few Thus your mind is blown
or at least mine always isit s too beautiful to imagine Then you have Cantor s Diagonal at least mine always isit s too beautiful to imagine Then you have Cantor s Diagonal which demonstrates this amazing Shadow Game property and theroof smacks you right in the face with its elegance and its simplicity its sheer genius By the way I highly recommend looking at Cantor s argument on its own if you re that way inclined Basically Cantor showed that no exhaustive table of reals can be drawn up after all which amounts to saying that the set of integers is just not big enough to index the set of reals The insidious repeatability of the diagonal argument indeed Goddammit math The field of real numbers is just so badass and beautifulCons The book was a bit repetitive at times and much long winded than it needed to be Hofstadter s ERIS: The Patsy (Warped Comedy Adventure Book 1) personality also definitely started to wear on me I love mathuns and groaners as much as the next nerd but one can be too cute too clever The sense that the author was a little too satisfied with all his tricks and We Give a Squid a Wedgie puns and overly witty structuring was often irritating In fact it bordered on feeling smug and obnoxious often than notOverall however no matter how annoying the author s too clever cleverness could be the fact remains that the book explored some genuinely fascinating complex conceptual realms and did so in uite a bit of detail For that reason it was an excellent read I ll leave you with twohilosophical nuggets from the book the second is clearly humorous in tone but fun to think about nonetheless From the balance between self knowledge and self ignorance comes the feeling of free will Everyone knows that the insane interpret the world via their own Verräter der Magie peculiarly consistent logic how can you tell if your own logic iseculiar or not given that you have only your own logic to judge itself I don t see any answer I am just reminded of G del s second Theorem which implies that the only versions of formal number theory which assert their own consistency are inconsistent The reading of a book and its interpretation are determined in art by the cytoplasmic soup in which it is taken up This reader s soup consists of a large ortion of metaphiction This is how Hofstadter apparently intended to structure his work a Lewis Carroll styled dialogue between Achilles and Tortoise and friends introducing a subject followed by a rigorous but opularly accessible explication of that topic This is how I read Hofstadter s book as a crab canon A crab canon as our musicologists will tell you inverts and reverses the main theme of the canon I reversed Hofstadter s organization of the book reading the dialogues as the rimary ortion and treating the chapters as their mere explication The fiction is compelling than the non fiction As it should beIs it a difficult book No Not if you were in the top 20% of your high school class aid attention in your biology classes your math classes had some chemistry and Mimi Malloy, At Last! physicserhaps took a few 101 courses in college had a course on logic or mathematical reasoning know a bit about music Bach of course have some knowledge and interest in writing computer Twin Spica, Volume: 10 programs in things like BASIC and other computerrograming languages opular in the 70 s and 80 s lay chess etc In other words an averagely intelligent citizen in an educated nation ought to have no great difficulty with this book What makes it than a grab bag is Hofstadter s setting side by side a fairly diverse set of topics and tracing out homologies and isomorphisms and analogies all which ought to culminate in shedding some light on the nature of consciousness and the Grammatik Des Biblisch-Aramaischen: Mit Den Nach Handschriften Berichtigten Texten Und Einem Worterbuch prospect of Artificial IntelligenceSo but what is made clear if therospect of AI is not is that metafiction is not just a bunch of intellectual masturbation but is a fictioning which takes real things ie metamathematical structures and uses them in structuring a story or fixing them into narrative metaphors Metaphictionists are after all also Realists For instance everybody s favorite metaphictionist John Barth subscribes to A Neve Estava Suja popular science journals like Scientific American in order to mine them for metaphor He writes about his fascination with the coast line measurementroblem and the The Art of Gothic: Architecture, Sculpture, Painting prospect of structuring his fiction uponrinciples similar to such things as fractals Mandelbrot and all thatFictionists and novelists deriving their narrative structures from the sciences and Im Zeichen der Triskele: Ein Bretagne-Krimi philosophy is nothing new Laurence Sterne borrowed from John Locke the theory of the association of ideas 19th century social realism of the Zola and Dickens sort is inspired inart from marxist and other socialist movements Woolf s studies of experience could not have taken lace without Husserl s henomenology of consciousness How much fictional ink has been spent following Freud or feuding with Freud And you really really have to read Calvino s fantastical Cosmicomics Fiction does not simply come out of nowhere Form and content have always mutually determined each other in any fiction worth readingSo shall we say that the form and content of our beloved metafiction of the De obotliga optimisternas klubb past half century is inart derived from discoveries in mathematics and metamathematics G del s contribution A mathematical theorem which is about itself A set which has itself as a member Etc etc but you get the idea erhaps I don t intend to ublish a thoroughly researched and exhaustive catalogue of metaphiction with its each and every GEB correlate I m happy to just oint the way And make my claim
That All These Wicked Names Thrown At all these wicked names thrown at masturbatory self indulgent cold retentious etcetc are simply wrong headed Metaphiction is about a real thing our experience of self consciousness and what it makes us do I believe that this wicked name calling in regard to smart fiction is due to a defense formation against the trauma of being the kind of thing we are and the kind of world we make for ourselves compulsively And that this defense formation dreams of a time when the recursive habit of thought could come to a comforting end in God s safe arms when consistency and completeness would both be simultaneously and within the same system guaranteed That when God disappears from our metaphysical world it disappears from our fictional world the omniscient in control voice of Author God is gone replaced with G del Author and character become democratic euals roviding characters with the metaphysical ladder up which they may escape this terrible mess the author has tried to createExamples gratis for meta than you ll wanna shake your stick at and all of which occurred to my meta thinking brain whilst GEB ing John Barth clearly especially that seven story deep frame tale Menelaiad from Lost in the Funhouse and I ve Been Told A Story s Story from Where Three Roads Meet Leyner s fantastic The Sugar Frosted Nutsack exemplifying the full inclusion of self within self including the inclusion etc MJ Nicholls A Postmodern Belch although he wouldn t have thought that he had metamathematical bile in his bones and we ll let The Belch stand in for other such character escapcapades such as Mulligan Stew and At Swim Two Birds etc Robert Coover s The Adventures of Lucky Pierre and lot of his other stuff Should we oint out obligatorily that DFW was not able to overcome metaphiction for very Und Schuf Mir Einen Götzen: Lehrjahre Eines Kommunisten precise reasonsBut enough about me How about the book Read it It s fun Don t be overwhelmed with Hofstadter s two irritating verbal tics treating mind and brain as interchangeable synonyms and his tendency to characterize hishilosophy of mind opponents as soulists Also it s a 30 year old text addressing the uestion of AI much has changed and much has not changed Enjoy the damn thingAlso hey forget the mostly forgettably bland rose It s no matter it merely functions But do notice that he s got a novelist s eye and ear for structure I dare say with a few tweaks we d have a retty good novelPre Review Highlights ertaining to commentaries 1 8Review tomorrow unless I say Review tomorrow unless I say Review tomorrow unless I say Review tomorrow unless I say Review tomorrow unless I say Review tomorrow unless I say Review tomorrow unless I say Review tomorrow unless I say Review tomorrow unless I say but you get the idea. N so too will computers attain human intelligence Gödel Escher Bach is a wonderful exploration of fascinating ideas at the heart of cognitive science meaning reduction recursion and muc.
Free download Gödel Escher Bach An Eternal Golden BraidW whether reading all 740 dense sprawling The Wapshot Scandal pages is worth your while The short answer is Read this book if you like to think about thinking as well as to think about thinking about thinking The long answer makes me nervous since the typical review of this book apparently misses theoint entirely I feel like I m starting out on thin ice Oh well I ll take a crack at it anywayAt its heart this book is about whether you can start with simple The NIGHT. Erotischer Roman parts and from them build a system which is so complicated that it becomes than the sum of itsarts in a significant sort of way For example scientists have a very clear understanding of how a single neuron functions They even have a fairly good understanding of how neurons operate in groups to take on specific tasks like wiggling your inkie finger But there are around a hundred billion neurons in a human brain and the structure uickly becomes reposterously complicated groups of groups of groups of neurons all acting in interconnected ways to Dark Alchemy (Dark Alchemy, produce conscious thought How do we get something as complex as human consciousness out of something as simple and well understood as a neuronThe answer Hofstadter likes is that the brain operates on many different interacting levels and that conscious thought is aroduct of the complex interaction between all these levels So in order to understand something you re reading you depend on individual neurons operating in basically deterministic ways to move signals around your brain but you also depend on groups of neurons in your vision centers to recognize text as well as other groups of neurons on other levels to understand that text and other groups of neurons on other levels to fit that new understanding into the context of the revious sentence and so on All of this applies eually well to artificial intelligence which is Hofstadter s field It s just that an electronic brain would be built from transistors and subroutines instead of brain tissueThe title is a little misleading this book is not at all about how when you get right down to it Kurt Godel MC Escher and JS Bach are totally interrelated man Their work is just useful in getting deeper down into that idea of interacting layers that roduce complexity For example Kurt Godel was a mathematician who Die fremde Stadt: Breslau nach 1945 proved that in any self consistent formulation of number theory you could generate theorems that while true were notrovable in within that formulation Basically he showed that any formal mathematical system is necessarily incomplete in specific ways Here s the art where things start to get craaaaazy If you build a well formed number theory labeled X then X can be used to generate a roof of X s self consistency only if X is inconsistent The reverse is also true And all this relates back to how a system can be than the sum of its The Dreamer Wakes (The Story of the Stone partsThese are definitely interesting ideas and very worth reading about but whether GEB is worth reading is a harder uestion It s a very well written well researched book I love that the author goes way way way out of his way to spend time explaining difficult ideas rather than to assume a dull or disinterested readership But sometimes that tendency to dig deeper can start to obscure the centraloint of a chapter I think that s why so many Rivers Last Longer people lose track of what the book is actually about there really are a ton of fascinating ideas that are all given eual weightThe book hops between two different formats The first is your standard well writtenopular discussion of complex scientific artistic or hilosophical ideas In fact Hofstadter is very good at this art He excels at getting the reader interested in and even excited about some traditionally inaccessible stuff The second format is a series of short dialogs between fictional characters interspersed between every chapter that help to allegorically enforce the ideas in whatever chapter Overall this approach is very good at getting you to understand the complicated ideas Hofstadter is getting at I found that my The Eat-Clean Diet Cookbook: Great-Tasting Recipes that Keep You Lean! problems with the book weren t with the subject matter which was fascinating and enjoyable but with the author Ol Dougie H loves this material He loves it so much that he tries to infect you with his ownersonal sense of wonder and whimsy at how complex and beautiful art and life and science are And of course he s right but that s not the Witchcraft for Tomorrow point If he trusted you to feel these things for yourself the book would be maybe 200ages shorter As it is his constant edagogical wordplay and artful brain teasers started out fun but after age 400 they started making me tired Also those forced injections of wonder and whimsy start to take on the flavor of little The Wedding Redux plugs for theersonal fantasticness of Douglas Hofstadter For example his discussion of the
language rocessing functions of the brain is interesting but did he really have to bring upprocessing functions of the brain is interesting but did he really have to bring up fact that he s fluent in Russian and translated Eugene Onegin In a short book or a movie cleverness can be fun and exciting In a 740 age tome not so muchI strongly recommend this book to a very narrow set of Ye Castle Stinketh: Could You Survive Living in a Castle? people If you think you d be interested in the subject matter AND you wouldn t mindlaying simple word or math games in the service of understanding it AND the inner workings of a computer scientist s marvelous brain seem interesting to you then definitely read this book I enjoyed it and found it very fun and informative overall But if you read this review and you get the feeling you robably won t like this book you re robably right As I work my way through this dense book I am reminded of the Zen tale of 4 blind men and an elephant To settle a dispute between townspeople over religion the Zen master had 4 blind men and an elephant led in With the men not knowing it s an elephant the Zen master had each feel a Bootie and the Beast part of the elephant Each blind man gave a varying but inaccurate guess of what it was he felt In conclusion the Zen master exclaimed that we are all like blind men We have never seen God but can only guess based on our subjective feelingIn much the same way each chapter in GEB is like feeling aart of an elephant Hopefully by the time we touched each art we have a good idea of what the book is about Here is my layman s take on what that elephant is filtered by my interest in human cognitionG del Escher and Bach The heart of this book is these Strange Loops that represent the activities inside our brains that turn into consciousness GEB uses art and music in combination with math and computing to illustrate these self referential loops The mechanic of the loops is represented by the works of the mathematician Kurt G del the artist MC Escher and the musician JS Bach Kurt G del s Incompleteness Theorem shows that a formula is unprovable within its axiomatic system G del s usage of mathematical reasoning to analyze mathematical reasoning resulted in self referential loopiness basically saying a formula cannot rove itself MC Escher creates visual resentations of this loopiness in his Waterfall and Drawing HandsFinally JS Bach s Musical Offering were complex uzzles offered to King Frederick the Great in the form of canons and fugues A simple description of a canon would be a theme that layed against itself such as in Row Row Row Your Boat JS Bach The Musical Offering s visual endless loops G del s incomplete self referential theorem and Bach s canons and fugues in varying levels help to illustrate the characteristics of consciousness The book alternates between Chapters and Dialogues The Dialogue is between Achilles and the Tortoise inspired by Lewis Carroll s What the Tortoise Said to Achilles which in turn was inspired by Zeno of Elea s dialogue between Achilles and the Tortoise The urpose of the Dialogue is to resent an idea intuitively before it is formally illustrated in the following Chapter GEB resents varying ways of explaining about systems and levels that create these self referential infinite loopsSystemsTo discuss intelligence GEB starts off explaining the Motivational Perspectives on Chronic Pain playground in which this takeslace We re introduced to the idea of a formal system by the MU uzzle In a formal system there are two types of theorems In the first type theorems are generated from the rules within the system The second type is theorems about the system This uzzle contains the string MIU This system tells us to start with the string MI and transform it to MU by following certain rules After going through the rocess we find that we cannot turn MI into MU following these steps no matter how long we try We would merely be generating countless strings To stop endlessly generating strings reuires the second type of theorem in which we analyze the system itself This reuires intelligence in which we gauge that this will be an "endless task We then guess at the answer intuitively If a computer was told to try to generate "task We then guess at the answer intuitively If a computer was told to try to generate answer it would go on ad infinitum We humans however would soon realize that this is a hopeless situation and stop We the intelligent system critiues ourselves recognizes atterns and jump out of the task it is assigned to do It is difficult however for us to jump out of ourselves No matter how much we try we cannot get out of our own system We as a self referential system can talk about ourselves but cannot jump out of ourselves Thus it is impossible to know all there is to know about ourselves The countless self help techniues are testaments to thatFormal systems are often built hierarchically with the high level meaning where consciousness lies building from the low level Puta primitive functions The most interesting example of levels is in the typogenetics of the DNA GEB gives a detailed account of how enzymes work on the strands with typographical manipulations creating new strands The new strands in turn act asrograms that define the enzymes The enzymes again work on the strands This system of enzymes causing the creation of new strands strands defining the enzymes creates a change of levels as new information are created from the 伝説の勇者の伝説 5 出来心の後始末 process Even readers who don t like math would find it interesting to see how the coding of our DNA works as chemicals help to turn simple codes into us GEB gives further details on the complexrocess of chemicals and codes but this is the basic ideaIsomorphismIsomorphism is a Killer Games process of change thatreserves information As intelligent beings we are able to detect isomorphism and thus recognize atterns This allows a system to be interpreted in varying ways without losing important information This is illustrated by Bach s canons and fugues A canon can vary in complexity in which the copies can vary in time itch and speed Also the copy of the theme can be inverted in which the melody jumps down whenever the original jumps up The copy can also be layed backwards such as in the crab canon However the copy modifies itself it still contains all of the information of the original theme Isomorphism is mathematically illustrated in the author s system invention In this system we are able to Cocksure perceive that the string means 2 Beyond the Cliffs of Kerry (Bold Women of the 18th Century, plus 3 euals 5 with the dashes representing numbers representing Porto Bello Gold plus and representing euals The recognition of an isomorphism leads to isomorphisms such as in the development of language Thisattern recognition occurs countless times as art of our intelligence rocess such that we don t even notice it We regularly see The Three Lives of Sonata James patterns in our daily lives The lower level isomorphisms are so simple that we only see explicit meanings However the lower level isomorphism helps us to create the higher level isomorphismsFrom our experiences we all have lower level explicit isomorphisms from which we deduce newatterns These are our conceptual skeletons When we see new Mein Erster Mörder patterns we create higher level isomorphisms until the system is consistent to us Thisrocess involves interplay and comparisons of our conceptual skeletons seeing similarities and differences Our conceptual skeletons can even exist in different dimensions that enables us to comprehend the multiple meaning of this statement The Vice President is the spare tire on the automobile of government When two ideas match in their conceptual skeleton the mind is forced to link and create subideas from the match While this is an important function of cognition it also can create erroneous beliefs This was illustrated visually with MC Escher s ainting RelativityWhen you look at this do you see a uzzling world that does not follow the Kaki vojaki: roman v rimah in slikah physical laws Most of us who are familiar with building structures expect some sort of an organization with stairs gravity and otherhysical laws If you are familiar with building structures you would start off identifying the lower or established isomorphisms the staircases the eople etc From the lower isomorphisms you create higher level isomorphisms with the new bizarre atterns that defy the hysical laws Suppose a erson viewing this is from a rimitive tribe living in the forest and have never seen a building What do you think that erson would see when looking at Escher s art Bear Boy piece Perhaps thaterson would only see geometric shapes and nothing else since there are no lower level isomorphisms of building structures etc The Dreaming in Aboriginal art adds a further dimension to interpretation of geometric shapesIn much the same way we build language based on isomorphisms Children increase their word count by identifying matches to words they already know Interesting Black Women in White America problems with meaning comes when translating words from one language to the next especially in literature andoetry which often relies on implicit meaning to understand the content This implicit meaning can change according to a society s culture and history The author s book Le Ton Beau De Marot In Praise of the Music of Language seeks to analyze that by featuring the work of the French Worlds Beyond The Poles poet Cl ment Marot Figure and GroundThere are two types of figureground The first one is cursive in which the ground is only a byroduct or negative space of the figure and is of less importance than the figure The second one is recursive in which the ground is as important as the figure This idea is also compared to theorems and nontheorems or rovability and nonprovability nonprovability being key to the Strange Loops that is at the core of thi. Activity transcends the system that supports it If life can grow out of the formal chemical substrate of the cell if consciousness can emerge out of a formal system of firing neurons the. ,
Expand your mind Not for the faint of heart yet by no means dry Hofstadter makes some fascinating observations about emergent Monster der Woche properties such as intelligence and diverts us into the extremely heavy mathematics of Godel via the self referencing systems that are Bach s fugues and Escher s optical illusion style artworkBefore too many chapters haveassed though you ll be firmly in number theory land albeit doled out as Fragen Und Wege Zur Rechtseinheit in Deutschland painlessly as isossible with such stuff leavened with imagined hilosophical debates between ancient Greeks and other roxies I seem to remember Achilles spends a lot of time talking to a tortoiseNumber theory reuires no great resource of mathematical knowledge just an extremely agile and open mind If you let him Hofstadter will show you how Godel destroyed Betrand Russell s Principa Mathematica his attempt to logically deduce all of mathematics from a set of axioms Godel shows us that I Ones and Zeroes paraphrase drastically that all logical systems allow statements about natural numbers that are true but unprovable within the systemAnd somehow this isn t even what the book s about As theages turn you will be steadily tested and at some oint it will become apparent you ve not been aying close enough attention However even without taking Kluge pen toaper and labouring through the instructive exercises you can get a Hugh Hefner's Playboy, 6 Volumes (Collectors) pretty decent glimpse at some exciting and fundamental thinking Join my 3 emails a year newsletterrizes from Randall Munroe Mouseover says This is the reference implementation of the self referential joke I know I know I know I m just kidding myself I m as likely to read this as a book on string theory Please don t Please don t tell me I have read a book on string theory I m trying to forget the whole sordid story But I hope you like thisA friend of mine established The Harvester Press in the 1970s He did it on a wing and a The Race for What's Left: The Global Scramble for the World's Last Resources prayer he was a young teaching academic who couldn t find inrint the old literary books he wanted to use as texts and so he set about ublishing them He was robably as surprised as anybody when the idea uickly became viable He The Journal of Latrobe; Being the Notes and Sketches of an Architect, Naturalist and Traveler in the United States from 1796 to 1820 (Burt Franklin ,) put together a list of books sold them as a subscription to libraries and away he went He wasn t an academic any he was aroper Menace of Club Mephistopheles publisher with a strong reputation for intellectually high end outputAt someoint he got sent a completely insane looking ms ridiculously long bits of Practical Programming paper stuck on bits ofaper all these ictures which hadn t any copyright ermission and as for the titlewell who was going to buy a book called thathe sent it back with a Work and Integrity: The Crisis and Promise of Professionalism in America polite letterSome years later he was in NY lunching with the boss of Basic Books a US academicublisher He wanted to ublish this strange ms he d been given As he was describing it John interrupted with Godel Escher Bach I resume Evidently Hofstadter had gotten lucky and had on loan a very early word Alphabet of Classical Dance processor The whole thing was no longer the shambles it once was Basic Books was keen John got talked into taking some thousands of copies This turned out well for him but What he had lost Ouch Godel Escher Bach in English and in translation would have made him many millions I won t say he cried about it but he did ask for a discount on the books he was buying After such a sad tale it was impossible to say no This book told me something about intelligence the smartest thing to do is to avoid this book s overly lengthy babblings of a self important graduate student who is way too impressed with himself It took this guy over 700ages to illustrate by analogy his not An Unmarried Lady particularly novel theory which he sums up finally as followsMy belief is that the explanations of emergenthenomena in our brains for instance ideas hopes images analogies and finally consciousness and free will are based on a kind of Strange Loop an interaction between levels in which the top level reaches back down towards the bottom level and influences it while at the same time being itself determined by the bottom levelDuh This is a nice book if you want to understand the G del incompleteness roof and get an account that is both accessible and reasonably rigorous There s a lot of other fun stuff as well but it s the G del roof that s the core of the book and if that doesn t turn you on then you aren t really going to think GEB is worth the effort Personally I would say that this is one of the most amazing things ever The you think about it the bizarre it gets there are mathematical theorems that are true but which you can t Copra: Round One prove And not only can you canrove that that is so you can even construct examples of such theorems It sounds about as Schoenbergs Early Correspondence possible as eating your own head but it really works Hofstadter shows you the machine takes it toieces and then uts it back together again and runs the engine VroomPS I remember
not long after GEB came out leafing through an interview with Sylvester Stallone The interviewer askedlong after GEB came out leafing through an interview with Sylvester Stallone The interviewer asked what he was reading at the moment Godel Escher Bach said Stallone It s really hardProbably Rambo is in real life a smart well educated erson and this is deeply unfair to him but I couldn t help finding it funny I could not with a clear conscience recommend this book to everyone because I m simply not that cruel It would be like recommending large doses of LSD to everyone some small minority will find the experience invaluably enlightening but for most Verteidigung Und Frieden: Politik Mit Militärischen Mitteln people it s just going to melt their brainWhile you do not need to be arofessional mathematician to appreciate this you really have to like math a lot You can t just sort of like it You can t just differ with the masses in not hating mathematics You can t just find it mildly interesting rather than utterly abstruse and inaccessible For example you The Indo-Aryan Controversy: Evidence and Inference in Indian History pretty much have to find the following joke to be hilariousThere are 10 kinds ofeople in the worldThose who understand binary and those who don tIf you are slapping your knee right now then you might like this book If during the course of slapping said knee all the ens fell out of your ocket rotector and landed scattered across the iece of Rhode Island: A Genial History paper you were using to make Venn diagrams to help you decide what to have for breakfast that of course is even betterIf you really like math then this is going to be one of the best books you ve ever read Go get it now But if you really like math then you ve almost certainly already read it If you haven t read it already then you can tossibly like math enough to enjoy it Hmmmmm There s a recursive aradox in there somewhere Best not to think about it It might melt your brain If I were clever enough I would write this review as a fugue This is the formal structure that Hofstadter uses throughout G del Escher Bach Whether the whole book is a fugue I m not smart enough to tell But the fugue is used as a metaphor for layers of brain activity thoughts superimposed over the hardware of the brain the neuronsIn fact though I would recommend starting at the beginning of the book I suppose one might begin anywhere and read through and back again a la
Finnegan s Wake No the book isn t designed this way but considering that I couldn t discern as Wake No the book isn t designed this way but considering that I couldn t discern a central idea until age 302 of the book and that this was only one of several theses in the book I wouldn t be surprised if it Archie Meets Ramones provedossible to begin anywhereThe idea resented there is To suggest ways of reconciling the software of mind with the hardware of brain is a main goal of this book The uestion is does it succeed I would argue that it does notAnd it does not matterThere are some works such as Giorgio De Santilliana s Hamlet s Mill or Daniel Schacter s Searching for Memory that are so vast and all encompassing that it is difficult to in down one central thesis These are the kind of works that you might not understand in your lifetime the thoughts of a genius transposed directly to Merlin paper that unless you are an eually giftederson or a savant you cannot hope to fully comprehend Still the threads and nuggets of gold that are spread throughout make it worth the time spent in the dark mines of incomprehension if only to find that one fist sized chunk of Poultrygeist precious metal and appreciate its beauty set against the background of your own ignoranceAs far as I can tell the book is really about intelligence both human and artificial Hofstadter does a lot ofreliminary work riming the reader s brain with assumptions taken from theoretical mathematics and computer rogramming But don t let that scare you off I m no math whiz but I found most of the logical Jahrb�cher Des Kaiserlichen K�niglichen Polytechnischen Institutes in Wien, 1827, Vol. 10: In Verbindung Mit Dem Professoren Des Institutes (Classic Reprint) puzzles at least comprehensible after a few careful reads Hofstadter also gives the occasional exercise leaving the reader without an answer to his uestion Like all good teachers Hofstadter understands that the students who work things out on their own are the bestrepared students That doesn t mean that you won t understand many of the book s salient oints if you can t successfully answer his uestions You can But in order to understand the finer oints I suppose one would have to have a Balzac: A Biography pretty good grasp on the answers to those uestionsI don tAnd it didn t matterWhat did matter for me was having a little bit of a background in the idea of nested hierarchies and a smidgen of knowledge in non linear dynamics aka chaos theory For the former I d recommend Valerie Ahl s seminal Hierarchy Theory A Vision Vocabulary and Epistemology For the latter just do what you were going to do anyway and look it up on Wikipedia I won t tell anyoneThe idea of nested hierarchies is central to the understanding of what makes human intelligence different from machine intelligence The short story is this human thought is structured from the ground up according to the basic laws ofhysics in articular electricity because it is through electricity that neural networks well network The issue is that the layers interceding between neural electrical firings and human thought are tangled They are explainable or ought to be explainable by a series of tangled layers that lead up to the higher functioning of thought Again this is one of the central oints of the bookAnd this is the Smelling Herself point where Hofstadter utterly failsAnd it doesn t matterYou see Hofstadter never convincingly shows those transitional layers between neural activity and thought though he claims they must be there He claims that it should beossible to create an Artificial Intelligence AI that is every bit as human as human intelligence The Eine Anleitung zur Selbsthypnose: Meditation Hypnose Entspannung problem is how do you define human intelligenceHofstadterresents the 1000 Gefahren. Gefährliche Zeitreise. ( Ab 8 J.) problem like this Historicallyeople have been na ve about what ualities if mechanized would undeniably constitute intelligence Sometimes it seems as though each new step towards AI rather than roducing something which everyone agrees is real intelligence merely reveals what real intelligence is not If intelligence involves learning creativity emotional responses a sense of beauty a sense of self then there is a long road ahead and it may be that these will only be realized when we have totally duplicated a living brainOne of the big issues in identifying whether an AI is actually intelligent is the notion of slipperiness The concept here is that human thoughts can deal in a larger ossibility space my words than machine intelligence Hofstadter uotes from an article in The New Yorker in which two statements are made that while Coco: The Junior Novelization (Disney/Pixar Coco) possible would constitute lunacy on theart of anyone who actually believed them They are If Leonardo da Vinci had been born a female the ceiling of the Sistine Chapel might never have been Urbeginn Und Ziel: D. Gemeinsame Weg Von Erde U. Mensch painted And if Michelangelo had been Siamese twins the work would have been completed in half the timeThen heoints out another sentence that was rinted without blushing I think he Professor Philipp Frank would have enjoyed both of these books enormouslyHofstadter comments Now oor Professor Frank is dead and clearly it is nonsense to suggest that someone could read books written after his death So why wasn t this serious sentence scoffed at Somehow in some difficult to Der Hof pin down sense thearameters slipped in this sentence do not violate our sense of ossibility as much as in the earlier examples This allowable layfulness is something so complex and multi layered that an AI would be hard Earth Girl pressed to correctlyarse an appropriate reactionThis is just one case ortraying the difficulty inherent in trying to define and understand intelligence and the connection between brain hardware and mind thought The book is rife with them I m not convinced that Hofstadter was fully convinced that there will ever be a machine so intelligent as to completely mirror human thoughtAnd one last time it doesn t matterThis book has set me to thinking thinking hard about what it means to be human Not merely as an intellectual exercise but deep in my emotional breadbasket if you will I feel human in a way that I can t explain when I think about the difficulty of trying to translate my hopes fears love creativity wordplay happiness sadness and ambitions into machine language There has been a lot of talk lately about singularity that moment when machines become self aware I m beginning to think that it will never happen And I m fine with thatBesides Hofstadter gives an implicit warning when uoting Marvin Minsky who said When intelligent machines are constructed we should not be surprised to find them as confused and as stubborn as men in their convictions about mind matter consciousness free will and the likeIn other words if we do somehow construct true Artificial Intelligence with the same capacity for thought and feeling as human beings whose to say the erson we create isn t going to turn out to be a real douchebag Terminator anyone If you open up the 20th Anniversary Edition of GEB you ll see that the first thing Douglas Hofstadter does in the introduction the very first thing is grouse that nobody seems to understand what his book is about Not even its Zur phänomenologischen Reduktion (1926-1935) (Husserliana: Edmund Husserl Gesammelte Werke) (German Edition) publishers or readers who just absolutely love it A uick glance at the back cover will give you the same impression even the glowing two sentence blurbs are hilariously vague all of them variations on the theme of Well that certainly was something Yes uite a wonderful something indeedSo how are you supposed to know whether toick it up Or Inversion Point put less delicately how are you supposed to kno. Douglas Hofstadter's book is concerned directly with the nature of “maps” or links between formal systems However according to Hofstadter the formal system that underlies all mental.