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Douglas R. Hofstadter: "Gödel, Escher, Bach - ein Endloses Geflochtenes Band". Aus dem Amerik. v. Philipp Wolff-Windegg und Hermann Feuersee. Verlag Klett-Cotta, Stuttgart 1985. 844 S., geb., Abb., 48,- DM
Zaklog: Cryptonomicon strikes me as the kind of book that Hofstadter would write if he wrote fiction. Both books are complex, with discursive passages on mathematics and a positively weird sense of humor. If you enjoyed (rather than endured) the explanatory sections on cryptography and the charts of Waterhouse's love life (among other, rarely charted things) you should really like this book.… (mehr)
EerierIdyllMeme: An obvious suggestion (surprised it's not here already). Both are creative and fictional riffing off of formal logic and incompleteness.
heidialice: GEB is a thousand times as intense, but if you enjoyed the parts about self-referentiality it's worth a skim. Conversely, if GEB is just too much, Paulos' concise introduction to the theme is very accessible.
Lorem: Things in 4D I consider a more accessible version of GEB in its breadth and how it does get to complex topics. If you enjoyed the more complicated parts of 4D, definitely look at GEB and if GEB was a little too much, 4D might remind you why math(s) are never boring… (mehr)
P_S_Patrick: Arturo Perez-Reverte has recieved inspiration for his excellent mystery thriller from Hofstadter's Godel Escher Bach, even without some of the chapter introduciton quotes, that much is clear. He uses the bewildering Escherian theme of worlds within a world, Godels incompleteness theorum is alluded to in the monologue of one character, and Bach is discussed in relevance to the mystery too, along with a few miscellaneous paradoxes which are also slipped in, in a similar spirit in which they permeate the more complex non-fictional work. Non-fiction readers who have enjoyed GEB should be amused by the Flanders panel, and I think they should enjoy it even if they do not often dip into fiction. It would be harder to recommend GEB to fans of the Flanders Panel, due to its sheer length, but if you were intrigued by the themes in the story then it should at least be worth finding GEB in a library and dipping into it.… (mehr)
Difficile riassumere un'opera così complessa, colma di creatività e di spunti.
Nonostante tutto, lo sguardo aggrovigliato con cui si esce alla fine del racconto non ci ha reso più chiare le cose ma determina una prospettiva autoreferenziale a cui doversi confrontare, fortemente influenzata dal proceduralismo e dall'ascesa dell'informatica e dell'automazione. Per fare ciò si bassa, con connessioni a volte aggrovigliate, su analogie con l'arte e con la musica, che seppur affascinanti, rimangono operazioni immaginifiche.
One of the most important books in my life. A book about the nature of sentience, but along the way about mathematics, molecular biology, Baroque music, entropy, computer science, recursive entities, logic, philosophy, art, and [b:Alice in Wonderland|13023|Alice in Wonderland|Lewis Carroll|https://i.gr-assets.com/images/S/compressed.photo.goodreads.com/books/1391458382l/13023._SX50_.jpg|2933712]. Dense and sometimes confusing but worth the effort. Stick with this monster and it's seemingly unrelated themes. A background in said themes helps but isn't completely necessary, but don't read it until you are really ready for it.
I just realized that this is the most important nonfiction book I’ve ever read, with the holy bible being the most important fiction book I’ve ever read. ( )
I've just recently written a math humor bk entitled "Paradigm Shift Knuckle Sandwich & other examples of PNT (Perverse Number Theory)" wch heavily references "Gödel, Escher, Bach". You shd read that for a fairly in-depth review (if & when it's ever published - It's now published & on sale here https://www.amazon.com/Paradigm-Knuckle-Sandwich-Tentatively-Convenience/dp/1944... ). ( )
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To M. and D.
Erste Worte
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Frederick the Great, King of Prussia, came to power in 1740.
Zitate
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In its absolute barest form, Gödel's discovery involves the translation of an ancient paradox in philosophy into mathematical terms. That paradox is the so-called Epimenides paradox, or liar paradox. Epimenides was a Cretan who made one immortal statement: “All Cretans are liars.”
Whereas the Epimenides statement creates a paradox since it is neither true nor false, the Gödel sentence G is unprovable (inside P.M.) but true. The grand conclusion? That the system of Principia Mathematica is “incomplete”—there are true statements of number theory which its methods of proof are too weak to demonstrate.
Letzte Worte
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Tortoise: Reentering Introduction Creates Endlessly Rising Canon, After RICERCAR.
Douglas R. Hofstadter: "Gödel, Escher, Bach - ein Endloses Geflochtenes Band". Aus dem Amerik. v. Philipp Wolff-Windegg und Hermann Feuersee. Verlag Klett-Cotta, Stuttgart 1985. 844 S., geb., Abb., 48,- DM