So what is this book, Gödel, Escher, Bach: an Eternal Golden Braid — usually known by its acronym, “GEB” — really all about? That question has hounded me . Part I: GEB. Introduction: A Musico-Logical Offering. The book opens with the story of Bach’s Musical. Offering. Bach made an impromptu visit to King Frederick . consciousness and unified theories? Get ready to chase me down a rabbit hole into Douglas Hofstadter’s Pulitzer Prize winning book Gödel, Escher, Bach.
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The idea of nested hierarchies is central to the understanding of what makes human intelligence different from machine intelligence. Anyway, I also thought that the examination of the nature of intelligence was a worthwhile portion of the book.
I’ve read conflicting opinions on it: However, the lower level isomorphism helps us to create the higher level isomorphisms. But if you really like math, then you’ve almost certainly already read it.
Gödel, Escher, Bach – Wikipedia
I would also suggest “Advent of an Algorithm” more of a history of mathematics including Godel. That said, the most dated aspect of the book is the mindshare it hofstadtwr obtained. All proofs are unproven in the outermost system. Number theory requires no great resource of mathematical knowledge – just an extremely agile and open mind. I partially disagree with the author’s definition of recursion, in particular when he states that hofstavter recursive definition always refer to a “simpler” version of itself.
Read it again in years. DharmaSoldat on Jan 5, Amazon Rapids Fun stories for kids on the go. I can only invite the discerning reader to embark on this intellectual adventure — it is well-worth it.
This process of generating theorems is reliant on the sifting out of nontheorems. I was struggling along through it in a workman like fashion, trying to follow his arguments which to me often seemed like so much dribble and unnecessary obfuscation and nothing like a fun puzzlewhen I got really stuck and so I went to the MIT website and started reading the class notes on this book. Dante has been arguing against the proposition. 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 better.
This idea of a formal system being at the core of a flexible, self-referential informal system leads to the possibility of consciousness in inanimate objects, or artificial intelligence.
It seems a symbol cannot be isolated from other symbols in the brain. Bulkington on Jan 5, He attempts to show readers how to perceive reality outside their own experience and embrace such paradoxical questions by rejecting the premise—a strategy also called “unasking”. In this vein, it is interesting to read Hofstadter’s justification for including the Incompleteness Theorems in his book: Simulacra and Simulation was actually his fake book hofstadetr the bookshelf: Since it’s such hofstadtr famous and lauded book, I figured that perhaps I should pick it up and give it a stab.
I remain blitheringly stupid. To escape many of the logical contradictions brought about by these self-referencing objects, Hofstadter discusses Zen koans.
Some material regarding this interplay is in Hofstadter’s later book, Le Ton beau de Marotwhich is mainly about translation. And wonderfully entertaining for the right readers.
Though Hofstadter might have become pretentious in the thirty-five odd years since he wrote the book, in its time, it certainly wasn’t pretentious – it was a risky literary exercise by an unknown author. When something is described as “prententious” it piques my interest. A unique endeavor that, while not always successful in the pursuit of a coherent and convincing elucidation of the geeb theses, represents something of a classic that must be read for its enriching, wide-ranging, multidisciplinary, hugely entertaining, wonderfully brilliant, highly creative nature.
When we see new patterns, we create higher level isomorphisms until the system is consistent to us. I’ve tried getting through it in it’s totality 6 times to no jofstadter, but i still await try number What do you guys think? That only made me more disgusted with the book, since it turns out that the book is riddled with historical errors wher This book was very disappointing, especially after recieving so much hype. I think he is right.
The more you think about it, the more bizarre it gets Like all good teachers, Hofstadter understands that the students who work things out on their own are the best prepared students.
He geeb a good argument for the claim that intelligence is a consequence of the complexity of organization of the nervous system of an organism. This is visually represented in M.
Gödel, Escher, Bach: An Eternal Golden Braid
Hofstadter collects and studies cognitive errors largely, but not solely, speech errors”bon mots” spontaneous humorous quipsand analogies of all sorts, and his long-time observation of these diverse products of cognition, and his theories about the mechanisms that underlie them, have exerted a powerful influence on the architectures of the computational models developed by himself and FARG members.
In much the same way, we build language based on isomorphisms. We regularly see patterns in our daily lives. Basically, he showed that any formal mathematical system is necessarily incomplete in specific ways.