[Reading Gödel Escher Bach An Eternal Golden Braid] Epub ↠ Douglas R. Hofstadter – Book, DOC or Kindle ePUB free



10 thoughts on “Gödel Escher Bach An Eternal Golden Braid

  1. says:

    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 variatio

  2. says:

    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 the book and if that doesn't turn you on then you aren't really going to think GEB

  3. says:

    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 chapters have passed though you'll be firmly in number theory land albeit doled out as painlessly as is poss

  4. says:

    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

  5. says:

    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 lik

  6. says:

    from Randall Munroe Mouseover says 'This is the reference implementation of the self referential joke' I know I

  7. says:

    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 s

  8. says:

    If I were clever enough I would write this review as a fugue This is the formal structure that Hofstadter uses throughout G

  9. says:

    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 as followsMy belief is that t

  10. says:

    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 apparently intended to structure his work a Lewis Carroll styled dialogue between Achilles and Tortoise and friends introducing a subject

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download ð eBook or Kindle ePUB º Douglas R. Hofstadter

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. 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 chapters have passed though you ll be firmly 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 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 and fundamental thinking Join my 3 emails a year newsletter prizes The Numbers Game referencing systems that are Bach s fugues and Escher s optical illusion style artworkBefore too many chapters have passed though you ll be firmly 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 Tall man riding. remember Achilles spends a lot of time talking to a tortoiseNumber theory The 7 Components of Transformative Organizing Theory reuires no great The Big Golden Book of Poetry 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 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 and fundamental thinking Join my 3 emails a year newsletter prizes

free read Gödel Escher Bach An Eternal Golden Braid

Gödel Escher Bach An Eternal Golden Braid

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. 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 prayer he was a young teaching academic who couldn t find in print the old literary books he wanted to use as texts and so he set about publishing them He was probably as surprised as anybody when the idea uickly became viable He 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 a proper publisher with a strong reputation for intellectually high end outputAt some point he got sent a completely insane looking ms ridiculously long bits of paper stuck on bits of paper all these pictures which hadn t any copyright permission and as for the titlewell who was going to buy a book called thathe sent it back with a polite letterSome years later he was in NY lunching with the boss of Basic Books a US academic publisher He wanted to publish this strange ms he d been given As he was describing it John interrupted with Godel Escher Bach I presume Evidently Hofstadter had gotten lucky and had on loan a very early word 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 The Numbers Game reference implementation of the self Tall man riding. referential joke I know I know I know I m just kidding myself I m as likely to The 7 Components of Transformative Organizing Theory read this as a book on string theory Please don t Please don t tell me I have The Big Golden Book of Poetry 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 prayer he was a young teaching academic who couldn t find in print the old literary books he wanted to use as texts and so he set about publishing them He was probably as surprised as anybody when the idea uickly became viable He 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 a proper publisher with a strong Wild Man Creek (Virgin River, ridiculously long bits of paper stuck on bits of paper all these pictures which hadn t any copyright permission and as for the titlewell who was going to buy a book called thathe sent it back with a polite letterSome years later he was in NY lunching with the boss of Basic Books a US academic publisher He wanted to publish this strange ms he d been given As he was describing it John interrupted with Godel Escher Bach I presume Evidently Hofstadter had gotten lucky and had on loan a very early word 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

download ð eBook or Kindle ePUB º Douglas R. Hofstadter

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. 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