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* [[http://en.wikipedia.org/wiki/G%C3%B6del%27s_incompleteness_theorems Gödel's incompleteness theorem]]

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* [[http://en.wikipedia.org/wiki/G%C3%B6del%27s_incompleteness_theorems org/wiki/Gödel%27s_incompleteness_theorems Gödel's incompleteness theorem]]

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* HarassingPhoneCall: Achilles begins the dialogue "Air on G's String" by telling the Tortoise about an obscene phone call he received in which the caller merely shouted twice before hanging up, "Yields falsehood when preceded by its quotation!" When the Tortoise teaches him about quines, he realizes that the caller was stating a logical paradox.

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[[quoteright:281:http://static.tvtropes.org/pmwiki/pub/images/geb_egb.jpg]]


* LogicBomb

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* LogicBombLogicBomb: The book shows how Gödel's Incompleteness Theorem does this to mathematics.


* MusicalThemeNaming: Every dialogue is named after a piece by JohannSebastianBach, or a pun on one.

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* MusicalThemeNaming: Every dialogue is named after a piece by JohannSebastianBach, Music/JohannSebastianBach, or a pun on one.

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* [[http://en.wikipedia.org/wiki/Goldbach%27s_conjecture Goldbach's conjecture]]

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* [[http://en.wikipedia.org/wiki/Cantor%27s_diagonal_argument Cantor's diagonal method]]


* PunnyName: The coppers Silva and Gould.

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* PunnyName: The coppers Silva and Gould.Gould, as well as the ant collective Aunt Hillary.

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* [[http://en.wikipedia.org/wiki/Zeno%27s_paradoxes Zeno's paradoxes]]


-->''Achilles'': Say, don't you play the guitar?\\
''Tortoise'': Fiddle. It makes a big difference, you know.\\
''Achilles'': Oh, well, it's all the same to me.
* SchrodingersButterfly

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-->''Achilles'': -->'''Achilles''': Say, don't you play the guitar?\\
''Tortoise'': '''Tortoise''': Fiddle. It makes a big difference, you know.\\
''Achilles'': '''Achilles''': Oh, well, it's all the same to me.
* SchrodingersButterflySchrodingersButterfly: The book uses several of these, nesting several layers of drama. In the dialogue "Little Harmonic Labyrinth," Achilles and the Tortoise are on an airship and start reading a book about themselves. The bad news is that the story doesn't "pop back" all the way to the last level, and the initial story is still left hanging. The good news is that the Tortoise and Achilles can move up to a previous level using popcorn.


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* SickEpisode: "Sonata for Unaccompanied Achilles," a dialogue for one in which Achilles is telephoned by the Tortoise, who is apparently suffering from a headache. (The readers only get Achilles' side of the conversation.)


''Gödel, Escher, Bach: An Eternal Golden Braid'' by Douglas Hofstadter is an intricate and complex study of Strange Loops, MetaConcepts in general and their connection to self-awareness and intelligence. Each chapter is separated from the next by a short fictional piece in the style of Creator/LewisCarroll, which exemplifies the theme of the following chapter.

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''Gödel, Escher, Bach: An Eternal Golden Braid'' by Douglas Hofstadter is an intricate and complex study of Strange Loops, MetaConcepts in general and their connection to self-awareness and intelligence. Each chapter is separated from the next by a short fictional piece in the style of Creator/LewisCarroll, which exemplifies the theme of the following chapter.
chapter. The drawings of Creator/MCEscher and the Surrealist paintings of Creator/ReneMagritte are used as illustrations.

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* InNameOnly: By the author's own admission (in the Overview), the dialogue "Chromatic Fantasy, And Feud" bears "hardly any resemblance, except in title, to Bach's ''Chromatic Fantasy and Fugue''."

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* SignificantAnagram: [[http://en.wikipedia.org/wiki/Terry_Winograd Terry Winograd]], author of SHRDLU, becomes "Dr. Tony Earrwig" in the dialogue "SHRDLU, Toy of Man's Designing."

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* TuringTest: Parodied in the final chapter, where Alan Turing and Charles Babbage each try to prove that the other is a computer invented by them. Turing insists on calling it a "Babbage test."


* [[http://en.wikipedia.org/wiki/Gödel's_incompleteness_theorems Gödel's incompleteness theorem]]

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* [[http://en.wikipedia.org/wiki/Gödel's_incompleteness_theorems org/wiki/G%C3%B6del%27s_incompleteness_theorems Gödel's incompleteness theorem]]



* [[http://en.wikipedia.org/wiki/Euclid's_theorem Euclid's Theorem]]

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* [[http://en.wikipedia.org/wiki/Euclid's_theorem org/wiki/Euclid%27s_theorem Euclid's Theorem]]



* [[http://en.wikipedia.org/wiki/Church–Turing_thesis The Church-Turing Thesis]]

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* [[http://en.wikipedia.org/wiki/Church–Turing_thesis org/wiki/Church%E2%80%93Turing_thesis The Church-Turing Thesis]]

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