[Gödel Escher Bach An Eternal Golden Braid] EBOOK/EPUB

Gödel Escher Bach An Eternal Golden Braid


Many new branches you orm 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 Apple-Picking Day! farrom being an eliminable defect was an inevitable BY PRODUCT OF THE SYSTEM S VAST POWER G product of the system s vast power G s second theorem states that neither G nor its negation can be a theorem We have Afrekete: An Anthology of Black Lesbian Writing found a hole in our system an undecidable proposition You can even see the corresponding hole in the drawing by Escher it is inact necessary or the image to make sense The ascinating thing is that any such system digs its own hole the system s own richness brings about its own downfallOnce the ability America the Philosophical for self reference is attained the system has a hole which is tailor madeor itself the hole takes the eatures 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 ar I have attempted to no consistent system can be truly robustThus ar I have attempted to the main thematic elements of the book as succinctly as possible Now or some of the pros and cons of the bookPros It was conceptually packed The Northman's Bride full ofood Blood Trails: The Combat Diary of a Foot Soldier in Vietnam for thought The book had everything you could askor 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 Cherry Bomb 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 1or 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 ew Thus your mind is blown or at least mine always isit s too beautiful to imagine Then you have Cantor
Diagonal Argument which demonstrates this property and the proof smacks you right in the ace 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 ield 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 act it bordered on The Single Girl's Guide to Marrying a Man, His Kids, and His Ex-Wife: Becoming a Stepmother with Humor and Grace feeling smug and obnoxious often than notOverall however no matter how annoying the author s too clever cleverness could be theact remains that the book explored some genuinely When Red Cried Wolf 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 nuggetsrom the book the second is clearly humorous in tone but un to think about nonetheless From the balance between self knowledge and self ignorance comes the eeling of The World in the Curl: An Unconventional History of Surfing 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 oformal number theory which assert their own consistency are inconsistent 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 Song of the Forest finally asollowsMy belief is that the explanations of emergent phenomena in our brains or instance ideas hopes images analogies and inally consciousness and A Constellation of Vital Phenomena 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 levelDu. N so too will computers attain human intelligence Gödel Escher Bach is a wonderful exploration ofascinating ideas at the heart of cognitive science meaning reduction recursion and muc.
Is own personal sense of wonder and whimsy at how complex and Beautiful Art And Life art and life science are And of course he s right but that s not the point If he trusted you to eel these things or yourself the book would be maybe 200 pages shorter As it is his constant pedagogical wordplay and artful brain teasers started out Sextasy: Master the Timeless Techniques of Tantra, Tao, and the Kama Sutra to Take Lovemaking to New Heights fun but after page 400 they started making me tired Also thoseorced injections of wonder and whimsy start to take on the Still Life with Chickens flavor of little plugsor the personal antasticness of Douglas Hofstadter For example his discussion of the language processing unctions of the brain is interesting processing Paradox Bound functions of the brain is interesting did he really have to bring up theact that he s luent in Russian and translated Eugene Onegin In a short book or a movie cleverness can be un 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 STFU, Parents: The Jaw-Dropping, Self-Indulgent, and Occasionally Rage-Inducing World of Parent Overshare found it veryun and informative overall But if you read this review and you get the eeling you probably won t like this book you re probably right Expand your mind Not or the Syncopated: An Anthology of Nonfiction Picto-Essays faint of heart yet by no means dry Hofstadter makes someascinating 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 Are All Guys Assholes?: More Than 1,000 Guys in 10 Cities Reveal Why They're Not, Why They Sometimes Act Like They Are, and How Understanding Their ... Will Solve Your Guy Drama Once and For All fugues and Escher s optical illusion style artworkBefore too many chapters have passed though you ll beirmly in number theory land albeit doled out as painlessly as is possible with such stuff leavened with imagined philosophical debates between ancient Greeks and other proxies 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 What a Lass Wants from a set of axioms Godel shows us that I 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 the pages turn you will be steadily tested and at some point it will become apparent you ve not been paying close enough attention However even without taking pen to paper and labouring through the instructive exercises you can get a pretty decent glimpse at some exciting andundamental thinking Join my 3 emails a year newsletter prizes 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 Conquering Your Quarterlife Crisis: Advice from Twentysomethings Who Have Been There and Survived find the experience invaluably enlightening butor 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 Mexican Hooker find it mildly interesting rather than utterly abstruse and inaccessible For example you pretty much have toind the The League for the Suppression of Celery 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 pensell out of your pocket protector and landed scattered across the piece of paper you were pocket protector and landed scattered across the piece of paper you were to make Venn diagrams to help you decide what to have The Thirteen-Gun Salute 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 This book was so metal G del s incompleteness theorem which states that all consistent axiomaticormulations of number theory include undecidable propositions is certainly a large part of what made the book so ascinating 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 irst saw it and I m still running around barefoot The longer I think about it the astounding it becomes No matter how. Activity transcends the system that supports it If life can grow out of the ormal chemical substrate of the cell if consciousness can emerge out of a ormal system of The Day Fidel Died firing neurons the. If you open up the 20th Anniversary Edition of GEB you ll see that theirst thing Douglas Hofstadter does in the introduction the very irst 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 give you the same impression even the glowing two sentence blurbs are hilariously vague all of them variations 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 eel 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 rom 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 unctions They even have a Gulp!: The Seven-Day Crash Course to Master Fear and Break Through Any Challenge fairly good understanding of how neurons operate in groups to take on specific tasks like wiggling your pinkieinger 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 The Outlaw and the Upstart King 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 sield It s just that an electronic brain would be built rom transistors and subroutines instead of brain tissueThe title is a little misleading this book IS NOT AT ALL ABOUT HOW WHEN YOU GET not at all about how when you get 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 ormulation of number theory you could generate theorems that while true were not provable in within that Standing By: The Making of an American Military Family in a Time of War formulation Basically he showed that anyormal mathematical system is necessarily incomplete in specific ways Here s the part where things start to get craaaaazy If you build a well ormed 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 of its partsThese are 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 ascinating ideas that are all given eual weightThe book hops between two different Stories for a Kindred Heart: Over 100 Treasures to Touch Your Soul formats Theirst is your standard well written popular discussion of complex scientific artistic or philosophical ideas In Concrete And Wild Carrot 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 secondormat is a series of short dialogs between Speak Through the Wind 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 Iound that my problems with the book weren t with the subject matter which was Stories for a Teen's Heart 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 Douglas Hofstadter's book is concerned directly with the nature of “maps” or links betweenormal systems However according to Hofstadter the ormal system that underlies all mental.

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