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## Free download Gödel Escher Bach An Eternal Golden Braid

Read Gödel Escher Bach An Eternal Golden Braid ê PDF, eBook or Kindle ePUB free Douglas R. Hofstadter Ü 5 Read ¿Puede un sistema comprenderse a sí mismo Si esta pregunta se refiere a la mente humana entonces nos encontramos ante una cuestión clave del pensamiento científico Y de la filosofía Y del arteInvestigar este misterio es una aventura ue recorre la matemática la física la biología la psicología y muy especialmente el lenguaje Douglas R Hofstadter joven y ya célebre científico nos abr 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 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 to pick it up Or put less delicately how are you supposed to know whether reading all 740 dense sprawling 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 the point 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 parts and from them build a system which is so complicated that it becomes than the sum of its parts 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 pinkie finger But there are around a hundred billion neurons in a human brain and the structure uickly becomes preposterously complicated groups of groups of groups of neurons all acting in interconnected ways to 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 a product 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 previous 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 produce complexity For example Kurt Godel was a mathematician who proved that in any self consistent formulation of number theory you could generate theorems that while true were not provable in within that formulation Basically he showed that any formal mathematical system is necessarily incomplete in specific ways Here s the part where things start to get craaaaazy If you build a well formed number theory labeled X then X can be used to generate a proof 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 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 central point of a chapter I think that s why so many 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 written popular discussion of complex scientific artistic or philosophical ideas In fact Hofstadter is very good at this part 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 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 own personal 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 point If he trusted you to feel these things for yourself the book would be maybe 200 pages shorter As it is his constant pedagogical wordplay and artful brain teasers started out fun but after page 400 they started making me tired Also those forced injections of wonder and whimsy start to take on the flavor of little plugs for the personal fantasticness of Douglas Hofstadter For example his discussion of the language processing functions of the brain is interesting but did he really have to bring up the 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 page tome not so muchI strongly recommend this book to a very narrow set of people If you think you d be interested in the subject matter AND you wouldn t mind playing 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 probably won t like this book you re probably right

### Read & Download æ PDF, eBook or Kindle ePUB free Ü Douglas R. Hofstadter

Read Gödel Escher Bach An Eternal Golden Braid ê PDF, eBook or Kindle ePUB free Douglas R. Hofstadter Ü 5 Read Odo proceso de pensamiento llegan tarde o temprano a la situación límite de la autorreferencia de uerer expresarse sobre sí mismos Surge entonces la emoción del infinito como dos espejos enfrentados y obligados a reflejarse mutua e indefinidamente Gödel Escher Bach es una obra de arte escrita por un sabio Versa sobre los misterios del pensamiento e incluye ella misma sus propios misterio This book was so metal G del s incompleteness theorem which states that all consistent axiomatic formulations of number theory include undecidable propositions is certainly a large part 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 potential 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 preceding picture by Escher demonstrates another key point of the book to wit such twisting back such looping around such self enfolding far from being an eliminable defect was an inevitable by product of the system s vast power 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 proposition 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 possible Now for some of the pros and cons of the bookPros It was conceptually packed full of food for thought The book had everything you could ask for logic mathematics philosophy music art psychology genetics recursive paradoxes bad jokes about recursive paradoxes bad jokes about bad jokes about recursive paradoxesthe 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 portion of the book The Bongard problems were a particularly neat way of looking at meaning pattern recognition and how to program critical thinkinganalysisreasoning My personal favorite part 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 Argument which demonstrates this amazing property and the proof 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 personality also definitely started to wear on me I love math puns 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 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 two philosophical 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 peculiarly consistent logic how can you tell if your own logic is peculiar 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

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Read Gödel Escher Bach An Eternal Golden Braid ê PDF, eBook or Kindle ePUB free Douglas R. Hofstadter Ü 5 Read E la puerta del enigma con la belleza y la alegría creadora de su estilo Sorprendentes paralelismos ocultos entre los grabados de Escher y la música de Bach nos remiten a las paradojas clásicas de los antiguos griegos y a un teorema de la lógica matemática moderna ue ha estremecido el pensamiento del siglo XX el de Kurt GödelTodo lenguaje todo sistema formal todo programa de ordenador t 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 people it s just going to melt their brainWhile you do not need to be a professional 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 pretty much have to find the following joke to be hilariousThere are 10 kinds of people 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 pens fell out of your pocket protector and landed scattered across the piece of 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 t possibly like math enough to enjoy it Hmmmmm There s a recursive paradox in there somewhere Best not to think about it It might melt your brain

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[Gödel Escher Bach An Eternal Golden Braid] EBOOK NEW If you open up the 20th Anniversary Edition of GEB you'll see that the first thing Douglas Hofstadter does in the introducti

[Gödel Escher Bach An Eternal Golden Braid] EBOOK NEW Douglas R. Hofstadter Ü 5 Read Read & Download æ PDF, eBook or Kindle ePUB free Ü Douglas R. Hofstadter This is a nice book if you want to understand the Gödel incompleteness proof 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 Gödel proof that's the core of th

[Gödel Escher Bach An Eternal Golden Braid] EBOOK NEW Expand your mind Not for the faint of heart yet by no means dry Hofstadter makes some fascinating observations about emergent 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 chapter

Free download Gödel Escher Bach An Eternal Golden Braid [Gödel Escher Bach An Eternal Golden Braid] EBOOK NEW Read & Download æ PDF, eBook or Kindle ePUB free Ü Douglas R. Hofstadter 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 be

[Gödel Escher Bach An Eternal Golden Braid] EBOOK NEW 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 people it's just going to melt their brainWhile you do not need to be a professional mathematician to appreciate this you really have to like math a lot You can't just sort of like it Yo

Free download Gödel Escher Bach An Eternal Golden Braid [Gödel Escher Bach An Eternal Golden Braid] EBOOK NEW Douglas R. Hofstadter Ü 5 Read 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 l

[Gödel Escher Bach An Eternal Golden Braid] EBOOK NEW This book was so metal Gödel’s incompleteness theorem which states that all consistent axiomatic formulations of number theory include undecidable propositions is certainly a large part 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 potentia

[Gödel Escher Bach An Eternal Golden Braid] EBOOK NEW Douglas R. Hofstadter Ü 5 Read If I were clever enough I would write this review as a fugue This is the formal structure that Hofstadter uses throughout Gödel Es

Free download Gödel Escher Bach An Eternal Golden Braid Read & Download æ PDF, eBook or Kindle ePUB free Ü Douglas R. Hofstadter Douglas R. Hofstadter Ü 5 Read 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 700 pages to illustrate by analogy his not particularly novel theory which he sums up finally

Free download Gödel Escher Bach An Eternal Golden Braid [Gödel Escher Bach An Eternal Golden Braid] EBOOK NEW The reading of a book and its interpretation are determined in part by the cytoplasmic soup in which it is taken up This reader’s soup consists of a large portion of metaphiction This is how Hofstadter apparen