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Gödel, Escher, Bach - An Eternal Golden Braid
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==First Steps==
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This wiki is for conversations and thoughts on the book. Below is a list of chapters of the book where you can enter your own thoughts about each section.
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The username and password for the administrative account is '''admin''', '''admin'''.
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#<font color="red">Important:</font>  [[Special:Userlogin|Log in]] as admin and go to [[Special:Preferences|Preferences]] to change your password!
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#Add the url for your wiki to the [http://www.editthis.info/wiki/index.php/Categorized_Wiki_List Categorized wiki list]. Simply edit that page and put your wiki under the appropriate category.
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#To increase the amount of space you have for uploads, add links to http://editthis.info from external sites, and go to the [http://editthis.info/wiki/index.php/Link_Quota_Page Link Quota Page] to increase your uploads quota.
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==Other optional things to do==
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-->[[Special:Allpages|All pages with content]]
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*Edit [[MediaWiki:Sidebar]] to change the navigation menu
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*Add this wiki to some external wiki indexes:
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Red links are pages that have no comment, but you can add your own comments. Blue links contain comments.
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#[http://en.wikipedia.org/wiki/List_of_wiki Wikipedia list of wikis]
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#[http://www.wikiindex.com/Add_a_Wiki WikiIndex]<br>
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__NOTOC__
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*If you are feeling adventurous and know a little about web design you can edit the javascript and css to the [[Header]] to change the look of your wiki.  
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=[[PART I: GEB]]=
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**You must log as admin to do this
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==[[INTRODUCTION: A MUSICO-LOGICAL OFFERING]]==
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**Whatever you enter in this page will be added to the html in the header after the standard style sheet, so you can override styles.
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*[[Author]]
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*Read the [http://meta.wikipedia.org/wiki/MediaWiki_User%27s_Guide User's Guide] for other usage and configuration help.
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*[[Bach]]
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*Add your wiki to the [http://editthis.info/wiki/index.php/Map_of_wikis map of wikis]
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*[[Canons and Fugues]]
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*[[An Endlessly Rising Canon]]
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*[[Escher]]
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*[[Gödel]]
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*[[Mathematical Logic: A Synopsis]]
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*[[Banishing Strange Loops]]
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*[[Consistency, Completeness, Hilbert's Program]]
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*[[Babbage, Computers, Artificial Intelligence...]]
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*[[...and Bach]]
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*[[Gödel  Escher  Bach]]
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*[[Three-Part Invention]]
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==[[CHAPTER 1: THE MU-PUZZLE]]==
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*[[Formal Systems]]
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*[[Theorems, Axioms, Rules]]
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*[[Inside and Outside the System]]
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*[[Jumping out of the System]]
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*[[M-Mode, I-Mode, U-Mode]]
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*[[Decision Procedures]]
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*[[Two-Part Invention]]
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==[[CHAPTER 2: MEANING AND FORM IN MATHEMATICS]]==
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*[[The pq-System]]
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*[[The Decision Procedure]]
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*[[Bottom-up vs. Top-down]]
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*[[Isomorphisms Induce Meaning]]
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*[[Meaningless and Meaningful Interpretations]]
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*[[Active vs. Passive Meanings]]
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*[[Double-Entendre!]]
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*[[Formal Systems and Reality]]
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*[[Mathematics and Symbol Manipulation]]
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*[[The Basic Laws of Arithmetic]]
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*[[Ideal Numbers]]
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*[[Euclid's Proof]]
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*[[Getting Around Infinity]]
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*[[Sonata for Unaccompanied Achilles]]
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==[[CHAPTER 3: FIGURE AND GROUND]]==
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*[[Primes vs. Composites]]
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*[[The tq-System]]
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*[[Capturing Compositeness]]
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*[[Illegally Characterizing Primes]]
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*[[Figure and Ground]]
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*[[Figure and Ground in Music]]
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*[[Recursively Enumerable Sets vs. Recursive Sets]]
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*[[Primes as Figure Rather than Ground]]
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*[[Contracrostipunctus]]
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==[[CHAPTER 4: CONSISTENCY, COMPLETENESS, AND GEOMETRY]]==
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*[[Implicit and Explicit Meaning]]
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*[[Explicit Meaning of the Contracrostipunctus]]
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*[[Implicit Meanings of the Contracrostipunctus]]
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*[[Mapping Between the Contracrostipunctus and Gödel's Theorem]]
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*[[The Art of the Fugue]]
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*[[Problems Caused by Gödel's Result]]
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*[[The Modified pq-System and Inconsistency]]
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*[[Regaining Consistency]]
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*[[The History of Euclidean Geometry]]
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*[[The Many Faces of Noneuclid]]
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*[[Undefined Terms]]
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*[[The Possibility of Multiple Interpretations]]
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*[[Varieties of Consistency]]
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*[[Hypothetical Worlds and Consistency]]
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*[[Embedding of One Formal System in Another]]
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*[[Layers of Stability in Visual Perception]]
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*[[Is Mathematics the Same in Every Conceivable World?]]
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*[[Is Number Theory the Same in All Conceivable Worlds?]]
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*[[Completeness]]
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*[[How an Interpretation May Make or Break Completeness]]
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*[[Incompleteness of Formalized Number Theory]]
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*[[Little Harmonic Labyrinth]]
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==[[CHAPTER 5: RECURSIVE STRUCTURES AND PROCESSES]]==
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*[[What Is Recursion?]]
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*[[Pushing, Popping, and Stacks]]
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*[[Stacks in Music]]
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*[[Recursion in Language]]
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*[[Recursive Transition Networks]]
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*[[Bottoming Out" and Heterarchies"]]
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*[[Expanding Nodes]]
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*[[Diagram G and Recursive Sequences]]
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*[[A Chaotic Sequence]]
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*[[Two Striking Recursive Graphs]]
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*[[Recursion at the Lowest Level of Matter]]
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*[[Copies and Sameness]]
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*[[Programming and Recursion: Modularity, Loops, Procedures]]
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*[[Recursion in Chess Programs]]
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*[[Recursion and Unpredictability]]
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*[[Canon by Intervallic Augmentation]]
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==[[CHAPTER 6: THE LOCATION OF MEANING]]==
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*[[When is One Thing Not Always the Same?]]
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*[[Information-Bearers and Information-Revealers]]
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*[[Genotype and Phenotype]]
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*[[Exotic and Prosaic Isomorphisms]]
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*[[Jukeboxes and Triggers]]
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*[[DNA and the Necessity of Chemical Context]]
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*[[An Unlikely UFO]]
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*[[Levels of Understanding of a Message]]
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*[[Imaginary Spacescape]]
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*[[The Heroic Decipherers]]
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*[[Three Layers of Any Message]]
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*[[Schrödinger's Aperiodic Crystals]]
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*[[Languages for the Three Levels]]
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*[[The Jukebox" Theory of Meaning"]]
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*[[Against the Jukebox Theory]]
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*[[Meaning Is Intrinsic If Intelligence is Natural]]
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*[[Earth Chauvinism]]
 +
*[[Two Plaques in Space]]
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*[[Bach vs. Cage Again]]
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*[[How Universal Is DNA's Message?]]
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*[[Chromatic Fantasy, and Feud]]
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==[[CHAPTER 7: THE PROPOSITIONAL CALCULUS]]==
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*[[Words and Symbols]]
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*[[Alphabet and First Rule of the Propositional Calculus]]
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*[[Well-Formed Strings]]
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*[[More Rules of Inference]]
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*[[The Fantasy Rule]]
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*[[Recursion and the Fantasy Rule]]
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*[[The Converse of the Fantasy Rule]]
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*[[The Intended Interpretation of the Symbols]]
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*[[Rounding Out the List of Rules]]
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*[[Justifying the Rules]]
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*[[Playing Around with the System]]
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*[[Semi-Interpretations]]
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*[[Ganto's Ax]]
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*[[Is There a Decision Procedure for Theorems?]]
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*[[Do We Know the System Is Consistent?]]
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*[[The Carroll Dialogue Again]]
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*[[Shortcuts and Derived Rules]]
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*[[Formalizing Higher Levels]]
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*[[Reflections on the Strengths and Weaknesses of the System]]
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*[[Proofs vs. Derivations]]
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*[[The Handling of Contradictions]]
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*[[Crab Canon]]
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==[[CHAPTER 8: TYPOGRAPHICAL NUMBER THEORY]]==
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*[[The Crab Canon and Indirect Self-Reference]]
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*[[What We Want to Be Able to Express in TNT]]
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*[[Numerals]]
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*[[Variables and Terms]]
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*[[Atoms and Propositional Symbols]]
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*[[Free Variables and Quantifiers]]
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*[[Translating Our Sample Sentences]]
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*[[Tricks of the Trade]]
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*[[Translation Puzzles for You]]
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*[[How to Distinguish True from False?]]
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*[[The Rules of Well-Formedness]]
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*[[A Few More Translation Exercises]]
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*[[A Nontypographical System]]
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*[[The Five Axioms and First Rules of TNT]]
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*[[The Five Peano Postulates]]
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*[[New Rules of TNT: Specification and Generalization]]
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*[[The Existential Quantifier]]
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*[[Rules of Equality and Successorship]]
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*[[Illegal Shortcuts]]
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*[[Why Specification and Generalization Are Restricted]]
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*[[Something Is Missing]]
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*[[omega-Incomplete Systems and Undecidable Strings]]
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*[[Non-Euclidean TNT]]
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*[[omega-Inconsistency Is Not the Same as Inconsistency]]
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*[[The Last Rule]]
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*[[A Long Derivation]]
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*[[Tension and Resolution in TNT]]
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*[[Formal Reasoning vs. Informal Reasoning]]
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*[[Number Theorists Go out of Business]]
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*[[Hilbert's Program]]
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*[[A Mu Offering]]
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==[[CHAPTER 9: MUMON AND GÖDEL]]==
 +
*[[What is Zen?]]
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*[[Zen Master Mumon]]
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*[[Zen's Struggle Against Dualism]]
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*[[Ism, The Un-Mode, and Unmon]]
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*[[Zen and Tumbolia]]
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*[[Escher and Zen]]
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*[[Hemiolia and Escher]]
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*[[Indra's Net]]
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*[[Mumon on MU]]
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*[[From Mumon to the MU-puzzle]]
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*[[Mumon Shows Us How to Solve the MU-puzzle]]
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*[[Gödel-Numbering the MIU-System]]
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*[[Seeing Things Both Typographically and Arithmetically]]
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*[[MIU-Producible Numbers]]
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*[[Answering Questions about Producible Numbers by Consulting TNT]]
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*[[The Dual Nature of MUMON]]
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*[[Codes and Implicit Meaning]]
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*[[The Boomerang: Gödel-Numbering TNT]]
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*[[TNT-Numbers: A Recursively Enumerable Set of Numbers]]
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*[[TNT Tries to Swallow Itself]]
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*[[G: A String Which Talks about Itself in Code]]
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*[[G's Existence Is What Causes TNT's Incompleteness]]
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*[[Mumon Has the Last Word]]==
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=[[PART II: EGB]]=
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*[[Prelude...]]
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==[[CHAPTER 10: LEVELS OF DESCRIPTION, AND COMPUTER SYSTEMS]]==
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*[[Levels of Description]]
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*[[Chunking and Chess Skill]]
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*[[Similar Levels]]
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*[[Computer Systems]]
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*[[Instructions and Data]]
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*[[Machine Language vs. Assembly language]]
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*[[Programs That Translate Programs]]
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*[[Higher-Level Languages, Compilers, and Interpreters]]
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*[[Bootstrapping]]
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*[[Levels on Which to Describe Running Programs]]
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*[[Microprogramming and Operating Systems]]
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*[[Cushioning the User and Protecting the System]]
 +
*[[Are Computers Super-Flexible or Super-Rigid?]]
 +
*[[Second-Guessing the Programmer]]
 +
*[[AI Advanced Are Language Advances]]
 +
*[[The Paranoid and the Operating System]]
 +
*[[The Border between Software and Hardware]]
 +
*[[Intermediate Levels and the Weather]]
 +
*[[From Tornados to Quarks]]
 +
*[[Superconductivity: A Paradox" of Renormalization"]]
 +
*[[Sealing-off]]
 +
*[[The Trade-off between Chunking and Determinism]]
 +
*[[Computers Can Only Do What You Tell Them to Do]]
 +
*[[Two Types of System]]
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*[[Epiphenomena]]
 +
*[[Mind vs. Brain]]
 +
*[[...Ant Fugue]]
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==[[CHAPTER 11: BRAINS AND THOUGHTS]]==
 +
*[[New Perspectives on Thought]]
 +
*[[Intensionality and Extensionality]]
 +
*[[The Brain's Ants]]
 +
*[[Larger Structures in the Brain]]
 +
*[[Mappings between Brains]]
 +
*[[Localization of Brain Processes: An Enigma]]
 +
*[[Specificity in Visual Processing]]
 +
*[[A Grandmother Cell"?"]]
 +
*[[Funneling into Neural Modules]]
 +
*[[Modules Which Mediate Thought Processes]]
 +
*[[Active Symbols]]
 +
*[[Classes and Instances]]
 +
*[[The Prototype Principle]]
 +
*[[The Splitting-off of Instance from Classes]]
 +
*[[The Difficulty of Disentangling Symbols from Each Other]]
 +
*[[Symbols -- Software or Hardware?]]
 +
*[[Liftability of Intelligence]]
 +
*[[Can One Symbol Be Isolated?]]
 +
*[[The Symbols of Insects]]
 +
*[[Class Symbols and Imaginary Worlds]]
 +
*[[Intuitive Laws of Physics]]
 +
*[[Procedural and Declarative Knowledge]]
 +
*[[Visual Imagery]]
 +
*[[English French German Suite]]
 +
==[[CHAPTER 12: MINDS AND THOUGHTS]]==
 +
*[[Can Minds Be Mapped onto Each Other?]]
 +
*[[Comparing Different Semantic Networks]]
 +
*[[Translations of Jabberwocky]]
 +
*[[ASU's]]
 +
*[[A Surprise Reversal]]
 +
*[[Centrality and Universality]]
 +
*[[How Much Do Language and Culture Channel Thought?]]
 +
*[[Trips and Itineraries in ASU's]]
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*[[Possible, Potential, and Preposterous Pathways]]
 +
*[[Different Styles of Translating Novels]]
 +
*[[High-Level Comparisons between Programs]]
 +
*[[High-Level Comparisons between Brains]]
 +
*[[Potential Beliefs, Potential Symbols]]
 +
*[[Where is the Sense of Self?]]
 +
*[[Subsystems]]
 +
*[[Subsystems and Shared Code]]
 +
*[[The Self-Symbol and Consciousness]]
 +
*[[Our First Encounter with Lucas]]
 +
*[[Aria with Diverse Variations]]
 +
==[[CHAPTER 13: BlooP AND FlooP AND GlooP]]==
 +
*[[Self-Awareness and Chaos]]
 +
*[[Representability and Refrigerators]]
 +
*[[Ganto's Ax in Metamathmatics]]
 +
*[[Finding Order by Choosing the Right Filter]]
 +
*[[Primordial Steps of the Language BlooP]]
 +
*[[Loops and Upper Bounds]]
 +
*[[Conventions of BlooP]]
 +
*[[IF-Statements and Branching]]
 +
*[[Automatic Chunking]]
 +
*[[BlooP Tests]]
 +
*[[BlooP Programs Contain Chains of Procedures]]
 +
*[[Suggested Exercises]]
 +
*[[Expressibility and Representability]]
 +
*[[Primitive Recursive Predicates Are Represented in TNT]]
 +
*[[Are There Functions Which Are Not Primitive Recursive?]]
 +
*[[Pool B, Index Numbers, and Blue Programs]]
 +
*[[The Diagonal Method]]
 +
*[[Cantor's Original Diagonal Argument]]
 +
*[[What Does a Diagonal Argument Prove?]]
 +
*[[The Insidious Repeatability of the Diagonal Argument]]
 +
*[[From BlooP to FlooP]]
 +
*[[Terminating and Nonterminating FlooP Programs]]
 +
*[[Turing's Trickery]]
 +
*[[A Termination Tester Would Be Magical]]
 +
*[[Pool F, Index Numbers, and Green Programs]]
 +
*[[The Termination Tester Gives Us Red Programs]]
 +
*[[GlooP...]]
 +
*[[...Is a Myth]]
 +
*[[The Church-Turing Thesis]]
 +
*[[Terminology: General and Partial Recursive]]
 +
*[[The Power of TNT]]
 +
*[[Air on G's String]]
 +
==[[CHAPTER 14: ON FORMALLY UNDECIDABLE PROPOSITIONS OF TNT AND RELATED SYSTEMS]]==
 +
*[[The Two Ideas of the Oyster]]
 +
*[[The First Idea: Proof-Pairs]]
 +
*[[Proof-Pair-ness Is Primitive Recursive...]]
 +
*[[...And Is Therefore Represented in TNT]]
 +
*[[The Power of Proof-Pairs]]
 +
*[[Substitution Leads to the Second Idea]]
 +
*[[Arithmoquining]]
 +
*[[The Last Straw]]
 +
*[[TNT Says Uncle!]]
 +
*[[Yields Nontheoremhood When Arithmoquined]]
 +
*[[Gödel's Second Theorem]]
 +
*[[TNT Is \\omega-Incomplete]]
 +
*[[Two Different Ways to Plug Up the Hole]]
 +
*[[Supernatural Numbers]]
 +
*[[Supernatural Theorems Have Infinitely Long Derivations]]
 +
*[[Supernatural Addition and Multiplication]]
 +
*[[Supernaturals Are Useful...]]
 +
*[[...But Are They Real?]]
 +
*[[Bifurcations in Geometry, and Physicists]]
 +
*[[Bifurcations in Number Theory, and Bankers]]
 +
*[[Bifurcations in Number Theory, and Metamathematicians]]
 +
*[[Hilbert's Tenth Problem and the Tortoise]]
 +
*[[Birthday Cantatatata...]]
 +
==[[CHAPTER 15: JUMPING OUT OF THE SYSTEM]]==
 +
*[[A More Powerful Formal System]]
 +
*[[The Gödel Method Reapplied]]
 +
*[[Multifurcation]]
 +
*[[Essential Incompleteness]]
 +
*[[The Passion According to Lucas]]
 +
*[[Jumping Up a Dimension]]
 +
*[[The Limits of Intelligent Systems]]
 +
*[[There Is No Recursive Rule for Naming Ordinals]]
 +
*[[Other Refutations of Lucas]]
 +
*[[Self-Transcendence -- A Modern Myth]]
 +
*[[Advertisement and Framing Devices]]
 +
*[[Simplicio, Salviati, Sagredo: Why Three?]]
 +
*[[Zen and Stepping Out]]
 +
*[[Edifying Thoughts of a Tobacco Smoker]]
 +
==[[CHAPTER 16: SELF-REF AND SELF-REP]]==
 +
*[[Implicitly and Explicitly Self-Referential Sentences]]
 +
*[[A Self-Reproducing Program]]
 +
*[[What Is a Copy?]]
 +
*[[A Self-Reproducing Song]]
 +
*[[Epimenides Straddles the Channel]]
 +
*[[A Program That Prints Out Its Own Gödel Number]]
 +
*[[Gödelian Self-Reference]]
 +
*[[A Self-Rep by Augmentation]]
 +
*[[A Kimian Self-Rep]]
 +
*[[What Is the Original?]]
 +
*[[Typogenetics]]
 +
*[[Strands, Bases, Enzymes]]
 +
*[[Copy Mode and Double Strands]]
 +
*[[Amino Acids]]
 +
*[[Translation and the Typogenetic Code]]
 +
*[[Tertiary Structure of Enzymes]]
 +
*[[Punctuation, Genes, and Ribosomes]]
 +
*[[Puzzle: A Typogenetical Self-Rep]]
 +
*[[The Central Dogma of Typogenetics]]
 +
*[[Strange Loops, TNT, and Real Genetics]]
 +
*[[DNA and Nucleotides]]
 +
*[[Messenger RNA and Ribosomes]]
 +
*[[Amino Acids]]
 +
*[[Ribosomes and Tape Recorders]]
 +
*[[The Genetic Code]]
 +
*[[Tertiary Structure]]
 +
*[[Reductionistic Explanation of Protein Function]]
 +
*[[Transfer RNA and Ribosomes]]
 +
*[[Punctuation and the Reading Frame]]
 +
*[[Recap]]
 +
*[[Levels of Structure and Meaning in Proteins and Music]]
 +
*[[Polyribosomes and Two-Tiered Canons]]
 +
*[[Which Came First -- The Ribosome or the Protein?]]
 +
*[[Protein Function]]
 +
*[[Need for a Sufficiently Strong Support System]]
 +
*[[How DNA Self-Replicates]]
 +
*[[Comparison of DNA's Self-Rep Method with Quining]]
 +
*[[Levels of Meaning of DNA]]
 +
*[[The Central Dogmap]]
 +
*[[Strange Loops in the Central Dogmap]]
 +
*[[The Central Dogmap and the Contracrostipunctus]]
 +
*[[E. Coli vs. T4]]
 +
*[[A Molecular Trojan Horse]]
 +
*[[Recognition, Disguises, Labeling]]
 +
*[[Henkin Sentences and Viruses]]
 +
*[[Implicit vs. Explicit Henkin Sentences]]
 +
*[[Henkin Sentences and Self-Assembly]]
 +
*[[Two Outstanding Problems: Differentiation and Morphogenesis]]
 +
*[[Feedback and Feedforward]]
 +
*[[Repressors and Inducers]]
 +
*[[Feedback and Strange Loops Compared]]
 +
*[[Two Simple Examples of Differentiation]]
 +
*[[Level Mixing in the Cell]]
 +
*[[The Origin of Life]]
 +
*[[The Magnificrab, Indeed]]
 +
==[[CHAPTER 17: CHURCH, TURING, TARSKI, AND OTHERS]]==
 +
*[[Formal and Informal Systems]]
 +
*[[Intuition and the Magnificent Crab]]
 +
*[[The Church-Turing Thesis]]
 +
*[[The Public-Processes Version]]
 +
*[[Srinivasa Ramanujan]]
 +
*[[Idiots Savants]]
 +
*[[The Isomorphism Version of the Church-Turing Thesis]]
 +
*[[Representation of Knowledge about the Real World]]
 +
*[[Processes That Are Not So Skimmable]]
 +
*[[Articles of Reductionistic Faith]]
 +
*[[Partial Progress in AI and Brain Simulation?]]
 +
*[[Beauty, the Crab, and the Soul]]
 +
*[[Irrational and Rational Can Coexist on Different Levels]]
 +
*[[More Against Lucas]]
 +
*[[An Underpinning of AI]]
 +
*[[Church's Theorem]]
 +
*[[Tarski's Theorem]]
 +
*[[The Impossibility of the Magnificrab]]
 +
*[[Two Types of Form]]
 +
*[[Meaning Derives from Connections to Cognitive Structures]]
 +
*[[Beauty, Truth, and Form]]
 +
*[[The Neural Substrate of the Epimenides Paradox]]
 +
*[[SHRDLU, Toy of Man's Designing]]
 +
==[[CHAPTER 18: ARTIFICIAL INTELLIGENCE: RETROSPECTS]]==
 +
*[[Turing]]
 +
*[[The Turing Test]]
 +
*[[Turing Anticipates Objections]]
 +
*[[Parry Encounters the Doctor]]
 +
*[[A Brief History of AI]]
 +
*[[Mechanical Translation]]
 +
*[[Computer Chess]]
 +
*[[Samuel's Checker Program]]
 +
*[[When Is a Program Original?]]
 +
*[[Who Composes Computer Music?]]
 +
*[[Theorem Proving and Problem Reduction]]
 +
*[[Shandy and the Bone]]
 +
*[[Changing the Problem Space]]
 +
*[[The I-Mode and the M-Mode Again]]
 +
*[[Applying AI to Mathematics]]
 +
*[[The Crux of AI: Representation of Knowledge]]
 +
*[[DNA and Proteins Help Give Some Perspective]]
 +
*[[Modularity of Knowledge]]
 +
*[[Representing Knowledge in a Logical Formalism]]
 +
*[[Deductive vs. Analogical Awareness]]
 +
*[[From Computer Haiku to an RTN-Grammar]]
 +
*[[From RTN's to ATN's]]
 +
*[[A Little Turing Test]]
 +
*[[Images of What Thought Is]]
 +
*[[Higher-Level Grammars...]]
 +
*[[Grammars for Music?]]
 +
*[[Winograd's Program SHRDLU]]
 +
*[[The Structure of SHRDLU]]
 +
*[[PLANNER Facilitates Problem Reduction]]
 +
*[[Syntax and Semantics]]
 +
*[[Contrafactus]]
 +
==[[CHAPTER 19: ARTIFICIAL INTELLIGENCE: PROSPECTS]]==
 +
*[[Almost" Situations and Subjunctives"]]
 +
*[[Layers of Stability]]
 +
*[[Frames and Nested Contexts]]
 +
*[[Bongard Problems]]
 +
*[[Preprocessing Selects a Mini-Vocabulary]]
 +
*[[High-Level Descriptions]]
 +
*[[Templates and Sameness-Detectors]]
 +
*[[A Heterarchical Program]]
 +
*[[The Concept Network]]
 +
*[[Slippage and Tentativity]]
 +
*[[Meta-Descriptions]]
 +
*[[Flexibility is Important]]
 +
*[[Focusing and Filtering]]
 +
*[[Science and the World of Bongard Problems]]
 +
*[[Connections to Other Types of Thought]]
 +
*[[Message-Passing Languages, Frames, and Symbols]]
 +
*[[Enzymes and AI]]
 +
*[[Fission and Fusion]]
 +
*[[Epigenesis of the Crab Canon]]
 +
*[[Conceptual Skeletons and Conceptual Mapping]]
 +
*[[Recombinant Ideas]]
 +
*[[Abstractions, Skeletons, Analogies]]
 +
*[[Multiple Representations]]
 +
*[[Ports of Access]]
 +
*[[Forced Matching]]
 +
*[[Recap]]
 +
*[[Creativity and Randomness]]
 +
*[[Picking up Patterns on All Levels]]
 +
*[[The Flexibility of Language]]
 +
*[[Intelligence and Emotions]]
 +
*[[AI Has Far to Go]]
 +
*[[Ten Questions and Speculations]]
 +
*[[Sloth Canon]]
 +
==[[CHAPTER 20: STRANGE LOOPS, OR TANGLED HIERARCHIES]]==
 +
*[[Can Machines Possess Originality?]]
 +
*[[Below Every Tangled Hierarchy Lies An Inviolate Level]]
 +
*[[A Self-Modifying Game]]
 +
*[[The Authorship Triangle Again]]
 +
*[[Escher's Drawing Hands]]
 +
*[[Brain and Mind: A Neural Tangle Supporting a Symbol Tangle]]
 +
*[[Strange Loops in Government]]
 +
*[[Tangles Involving Science and the Occult]]
 +
*[[The Nature of Evidence]]
 +
*[[Seeing Oneself]]
 +
*[[Gödel's Theorem and Other Disciplines]]
 +
*[[Introspection and Insanity: A Gödelian Problem]]
 +
*[[Can We Understand Our Own Minds or Brains?]]
 +
*[[Gödel's Theorem and Personal Nonexistence]]
 +
*[[Science and Dualism]]
 +
*[[Symbol vs. Object in Modern Music and Art]]
 +
*[[Magritte's Semantic Illusions]]
 +
*[[The Code" of Modern Art"]]
 +
*[[Ism Once Again]]
 +
*[[Understanding the Mind]]
 +
*[[Accidental Inexplicability of Intelligence?]]
 +
*[[Undecidability Is Inseparable from a High-Level Viewpoint]]
 +
*[[Consciousness as an Intrinsically High-Level Phenomenon]]
 +
*[[Strange Loops as the Crux of Consciousness]]
 +
*[[The Self-Symbol and Free Will]]
 +
*[[A Gödel Vortex Where All Levels Cross]]
 +
*[[An Escher Vortex Where All Levels Cross]]
 +
*[[A Bach Vortex Where All Levels Cross]]
 +
*[[Six-Part Ricercar]]

Revision as of 21:38, 23 March 2006

Gödel, Escher, Bach - An Eternal Golden Braid

This wiki is for conversations and thoughts on the book. Below is a list of chapters of the book where you can enter your own thoughts about each section.

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PART I: GEB

INTRODUCTION: A MUSICO-LOGICAL OFFERING

CHAPTER 1: THE MU-PUZZLE

CHAPTER 2: MEANING AND FORM IN MATHEMATICS

CHAPTER 3: FIGURE AND GROUND

CHAPTER 4: CONSISTENCY, COMPLETENESS, AND GEOMETRY

CHAPTER 5: RECURSIVE STRUCTURES AND PROCESSES

CHAPTER 6: THE LOCATION OF MEANING

CHAPTER 7: THE PROPOSITIONAL CALCULUS

CHAPTER 8: TYPOGRAPHICAL NUMBER THEORY

CHAPTER 9: MUMON AND GÖDEL

PART II: EGB

CHAPTER 10: LEVELS OF DESCRIPTION, AND COMPUTER SYSTEMS

CHAPTER 11: BRAINS AND THOUGHTS

CHAPTER 12: MINDS AND THOUGHTS

CHAPTER 13: BlooP AND FlooP AND GlooP

CHAPTER 14: ON FORMALLY UNDECIDABLE PROPOSITIONS OF TNT AND RELATED SYSTEMS

CHAPTER 15: JUMPING OUT OF THE SYSTEM

CHAPTER 16: SELF-REF AND SELF-REP

CHAPTER 17: CHURCH, TURING, TARSKI, AND OTHERS

CHAPTER 18: ARTIFICIAL INTELLIGENCE: RETROSPECTS

CHAPTER 19: ARTIFICIAL INTELLIGENCE: PROSPECTS

CHAPTER 20: STRANGE LOOPS, OR TANGLED HIERARCHIES

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