Bach made an impromptu visit to King Frederick the Great of Prussia, and was . Gödel, Escher, and Bach are deeply intertwined in this very short Dialogue. What are some of the most riveting concepts featured in Gödel, Escher, Bach? Why isn’t the Douglas Hofstadter book Gödel, Escher, Bach available as an. Douglas Hofstadter Excerpts from Hofstadter’s Books. On what GEB is really all about (from Gödel, Escher, Bach: 20th Anniversary Ed.) So what is this book, Gödel, Escher, Bach: an Eternal Golden Braid — usually known by its acronym.
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It is definitely not a great example of conciseness with its sprawling pagesand not always rigorous for example, in its treatment of some aspects of mathematical logic and Godel’s incompleteness theoremsand also occasionally a hofstsdter loose with the terminology; however this is more than compensated by the peculiar and exhilarating way with which the many interconnections and analogies between different disciplines and perspectives are illuminated by the author in his wondrous and sprawling synthesis, architecturally beautifully even if not always based on completely sound foundations.
Godel, Escher, Bach : An Eternal Golden Braid
To see what your friends thought of this book, please sign up. Ah, imagine an Escher drawing, one of those odd drawings where the stairs seem to lead endlessly upward, yet always end back at the bottom.
I have always wanted to be brilliant. On the positive side, the author correctly highlights the critical importance of the fundamental result that there exist recursively enumerable sets which are not recursive in fact this is, in abstract computational theory terms, the very essence of the first Godel’s incompleteness theorem!
It also discusses what it means to communicate, how knowledge can be represented and stored, the methods and limitations of symbolic representation, and even the fundamental notion of “meaning” itself. United States Department of Justice. Lists with This Book. This book was so jofstadter.
That’s dense, dense stuff, but helped by the author’s charming expository style and vastly erudite range of references. This is just one case portraying the difficulty inherent in trying to define and understand intelligence and the connection between brain hardware and mind-thought.
Gödel, Escher, Bach: An Eternal Golden Braid
Isomorphism Isomorphism is a process of change that preserves information. Even if none of them will ever actually finish the whole thing. But she doesn’t seem heart-broken in the least. Visit our Beautiful Books page and find lovely books for kids, photography lovers and more.
Gödel, Escher, Bach: An Eternal Golden Braid by Douglas R. Hofstadter
I don’t know why mathematicians feel like they have hofstadtrr write like it’s This should be part of a Marines-type training course for readers. He continued his education and received his Ph.
It is published by Basic Books in hardback, and is worth whatever you may pay for it. Looking for beautiful books? It helps if you have some basic understanding of formal logic and an affinity with structures such as gofstadter, fugues and self-reference. The answer Hofstadter likes is that the brain operates on many different interacting levels, and that conscious thought is a product geel the complex interaction between all these levels.
If you really like math, then this is going to be one of the best books you’ve ever read. The field of real numbers is just so badass and beautiful. Other more recent models are Phaeaco implemented by Harry Foundalis and SeqSee Abhijit Mahabalwhich model high-level perception and analogy-making in the microdomains of Bongard problems and number sequences, respectively.
You see, Hofstadter never convincingly shows those transitional layers between neural activity and thought, though he claims they must be there. I didn’t fin After an entire tome about the workings of the mind and what it means to be intelligent, you’d think the author would be more self-aware by the end of the book than to say, “indirect self-reference is my favorite topic”.
Gödel, Escher, Bach – Wikipedia
This idea is also compared to theorems and nontheorems, or provability and nonprovability, nonprovability being key to the Strange Loops that is at the core of this book. It would be like recommending abch doses of LSD to everyone: GEB reads like a collection of sparks, produced when the mind is working at its primed, relaxed, hyper-aware and associative best.
Brian I think it’s fun. From tothe National Book Award history gave separate awards to hardcover and paperback books in many categories, including several nonfiction subcategories.
Jan 10, Andrew Breslin rated it it was amazing. Every page creates gde link, another loop, another facet for contemplation. How can Self be in its own acronym?
Basically, he showed that any formal mathematical system is necessarily incomplete in specific ways.